Metis---2.4.THM-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 10:51:10 EDT 2022

% Result   : Theorem 42.62s 42.83s
% Output   : CNFRefutation 45.81s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(sos01,axiom,
    ! [B,A] : difference(A,product(A,B)) = B ).

fof(sos02,axiom,
    ! [B,A] : product(A,difference(A,B)) = B ).

fof(sos03,axiom,
    ! [B,A] : quotient(product(A,B),B) = A ).

fof(sos04,axiom,
    ! [B,A] : product(quotient(A,B),B) = A ).

fof(sos05,axiom,
    ! [D,C,B,A] : product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)) ).

fof(sos06,axiom,
    ! [A] : product(A,A) = A ).

fof(sos07,axiom,
    ! [B,A] : product(product(product(A,B),B),product(B,product(B,A))) = B ).

fof(sos08,axiom,
    ! [C,B,A] : bigC(A,B,C) = product(product(A,B),product(C,A)) ).

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

fof(goals,conjecture,
    ! [X0] : bigC(a,b,X0) = bigC(c,c,X0) ).

fof(subgoal_0,plain,
    ! [X0] : bigC(a,b,X0) = bigC(c,c,X0),
    inference(strip,[],[goals]) ).

fof(negate_0_0,plain,
    ~ ! [X0] : bigC(a,b,X0) = bigC(c,c,X0),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X0] : bigC(a,b,X0) != bigC(c,c,X0),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    bigC(a,b,skolemFOFtoCNF_X0) != bigC(c,c,skolemFOFtoCNF_X0),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [A,B,C] : bigC(A,B,C) = product(product(A,B),product(C,A)),
    inference(canonicalize,[],[sos08]) ).

fof(normalize_0_3,plain,
    ! [A,B,C] : bigC(A,B,C) = product(product(A,B),product(C,A)),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [A,B] : product(A,difference(A,B)) = B,
    inference(canonicalize,[],[sos02]) ).

fof(normalize_0_5,plain,
    ! [A,B] : product(A,difference(A,B)) = B,
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [A,B] : difference(A,product(A,B)) = B,
    inference(canonicalize,[],[sos01]) ).

fof(normalize_0_7,plain,
    ! [A,B] : difference(A,product(A,B)) = B,
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [A,B] : product(product(product(A,B),B),product(B,product(B,A))) = B,
    inference(canonicalize,[],[sos07]) ).

fof(normalize_0_9,plain,
    ! [A,B] : product(product(product(A,B),B),product(B,product(B,A))) = B,
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [A] : product(A,A) = A,
    inference(canonicalize,[],[sos06]) ).

fof(normalize_0_11,plain,
    ! [A] : product(A,A) = A,
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [A,B,C,D] : product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)),
    inference(canonicalize,[],[sos05]) ).

fof(normalize_0_13,plain,
    ! [A,B,C,D] : product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)),
    inference(specialize,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [A,B] : product(quotient(A,B),B) = A,
    inference(canonicalize,[],[sos04]) ).

fof(normalize_0_15,plain,
    ! [A,B] : product(quotient(A,B),B) = A,
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [A,B] : quotient(product(A,B),B) = A,
    inference(canonicalize,[],[sos03]) ).

fof(normalize_0_17,plain,
    ! [A,B] : quotient(product(A,B),B) = A,
    inference(specialize,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    product(product(a,c),product(c,b)) = product(a,b),
    inference(canonicalize,[],[sos09]) ).

cnf(refute_0_0,plain,
    bigC(a,b,skolemFOFtoCNF_X0) != bigC(c,c,skolemFOFtoCNF_X0),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    bigC(A,B,C) = product(product(A,B),product(C,A)),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    bigC(difference(X_19,B),X_18,X_19) = product(product(difference(X_19,B),X_18),product(X_19,difference(X_19,B))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(difference(X_19,B))),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_3,plain,
    product(A,difference(A,B)) = B,
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_4,plain,
    product(X_19,difference(X_19,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_19))]]) ).

cnf(refute_0_5,plain,
    ( bigC(difference(X_19,B),X_18,X_19) != product(product(difference(X_19,B),X_18),product(X_19,difference(X_19,B)))
    | product(X_19,difference(X_19,B)) != B
    | bigC(difference(X_19,B),X_18,X_19) = product(product(difference(X_19,B),X_18),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_19,B),X_18,X_19),product(product(difference(X_19,B),X_18),product(X_19,difference(X_19,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_6,plain,
    ( bigC(difference(X_19,B),X_18,X_19) != product(product(difference(X_19,B),X_18),product(X_19,difference(X_19,B)))
    | bigC(difference(X_19,B),X_18,X_19) = product(product(difference(X_19,B),X_18),B) ),
    inference(resolve,[$cnf( $equal(product(X_19,difference(X_19,B)),B) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    bigC(difference(X_19,B),X_18,X_19) = product(product(difference(X_19,B),X_18),B),
    inference(resolve,[$cnf( $equal(bigC(difference(X_19,B),X_18,X_19),product(product(difference(X_19,B),X_18),product(X_19,difference(X_19,B)))) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = product(product(difference(product(a,c),product(c,product(c,b))),X_18),product(c,product(c,b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(c,product(c,b)))),bind(X_19,$fot(product(a,c)))]]) ).

cnf(refute_0_9,plain,
    difference(A,product(A,B)) = B,
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_10,plain,
    difference(product(c,a),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = difference(product(a,c),product(c,product(c,b))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,a))),bind(B,$fot(difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_11,plain,
    product(product(product(A,B),B),product(B,product(B,A))) = B,
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_12,plain,
    product(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))) = product(A,X_18),
    inference(subst,[],[refute_0_11:[bind(B,$fot(product(A,X_18)))]]) ).

cnf(refute_0_13,plain,
    bigC(A,X_18,product(A,X_18)) = product(product(A,X_18),product(product(A,X_18),A)),
    inference(subst,[],[refute_0_1:[bind(B,$fot(X_18)),bind(C,$fot(product(A,X_18)))]]) ).

cnf(refute_0_14,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_15,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_16,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( bigC(A,X_18,product(A,X_18)) != product(product(A,X_18),product(product(A,X_18),A))
    | product(product(A,X_18),product(product(A,X_18),A)) = bigC(A,X_18,product(A,X_18)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,X_18,product(A,X_18)))),bind(Y,$fot(product(product(A,X_18),product(product(A,X_18),A))))]]) ).

cnf(refute_0_18,plain,
    product(product(A,X_18),product(product(A,X_18),A)) = bigC(A,X_18,product(A,X_18)),
    inference(resolve,[$cnf( $equal(bigC(A,X_18,product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))) )],[refute_0_13,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( product(product(A,X_18),product(product(A,X_18),A)) != bigC(A,X_18,product(A,X_18))
    | product(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))) != product(A,X_18)
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))),product(A,X_18)) ),[0,1],$fot(bigC(A,X_18,product(A,X_18)))]]) ).

cnf(refute_0_20,plain,
    ( product(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))) != product(A,X_18)
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(A,X_18),product(product(A,X_18),A)),bigC(A,X_18,product(A,X_18))) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,X_18),product(product(A,X_18),A))),product(A,X_18)) )],[refute_0_12,refute_0_20]) ).

cnf(refute_0_22,plain,
    product(A,A) = A,
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_23,plain,
    product(product(A,A),product(product(A,X_18),X_18)) = product(product(A,A),product(product(A,X_18),X_18)),
    introduced(tautology,[refl,[$fot(product(product(A,A),product(product(A,X_18),X_18)))]]) ).

cnf(refute_0_24,plain,
    ( product(A,A) != A
    | product(product(A,A),product(product(A,X_18),X_18)) != product(product(A,A),product(product(A,X_18),X_18))
    | product(product(A,A),product(product(A,X_18),X_18)) = product(A,product(product(A,X_18),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,A),product(product(A,X_18),X_18)),product(product(A,A),product(product(A,X_18),X_18))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_25,plain,
    ( product(A,A) != A
    | product(product(A,A),product(product(A,X_18),X_18)) = product(A,product(product(A,X_18),X_18)) ),
    inference(resolve,[$cnf( $equal(product(product(A,A),product(product(A,X_18),X_18)),product(product(A,A),product(product(A,X_18),X_18))) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    product(product(A,A),product(product(A,X_18),X_18)) = product(A,product(product(A,X_18),X_18)),
    inference(resolve,[$cnf( $equal(product(A,A),A) )],[refute_0_22,refute_0_25]) ).

cnf(refute_0_27,plain,
    product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_28,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_16:[bind(X,$fot(product(product(A,B),product(C,D)))),bind(Y,$fot(product(product(A,C),product(B,D))))]]) ).

cnf(refute_0_29,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_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    product(product(A,product(A,X_18)),product(A,X_18)) = product(product(A,A),product(product(A,X_18),X_18)),
    inference(subst,[],[refute_0_29:[bind(B,$fot(A)),bind(C,$fot(product(A,X_18))),bind(D,$fot(X_18))]]) ).

cnf(refute_0_31,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_32,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_16,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( product(product(A,A),product(product(A,X_18),X_18)) != product(A,product(product(A,X_18),X_18))
    | product(product(A,product(A,X_18)),product(A,X_18)) != product(product(A,A),product(product(A,X_18),X_18))
    | product(product(A,product(A,X_18)),product(A,X_18)) = product(A,product(product(A,X_18),X_18)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(A,product(A,X_18)),product(A,X_18)))),bind(Y,$fot(product(product(A,A),product(product(A,X_18),X_18)))),bind(Z,$fot(product(A,product(product(A,X_18),X_18))))]]) ).

cnf(refute_0_34,plain,
    ( product(product(A,A),product(product(A,X_18),X_18)) != product(A,product(product(A,X_18),X_18))
    | product(product(A,product(A,X_18)),product(A,X_18)) = product(A,product(product(A,X_18),X_18)) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(A,X_18)),product(A,X_18)),product(product(A,A),product(product(A,X_18),X_18))) )],[refute_0_30,refute_0_33]) ).

cnf(refute_0_35,plain,
    product(product(A,product(A,X_18)),product(A,X_18)) = product(A,product(product(A,X_18),X_18)),
    inference(resolve,[$cnf( $equal(product(product(A,A),product(product(A,X_18),X_18)),product(A,product(product(A,X_18),X_18))) )],[refute_0_26,refute_0_34]) ).

cnf(refute_0_36,plain,
    product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),
    introduced(tautology,[refl,[$fot(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))))]]) ).

cnf(refute_0_37,plain,
    ( product(product(A,product(A,X_18)),product(A,X_18)) != product(A,product(product(A,X_18),X_18))
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) != product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18)))
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18)))) ),[1,0],$fot(product(A,product(product(A,X_18),X_18)))]]) ).

cnf(refute_0_38,plain,
    ( product(product(A,product(A,X_18)),product(A,X_18)) != product(A,product(product(A,X_18),X_18))
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18)))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) = product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))),
    inference(resolve,[$cnf( $equal(product(product(A,product(A,X_18)),product(A,X_18)),product(A,product(product(A,X_18),X_18))) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) != product(A,X_18)
    | product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) != product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18)))
    | product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),product(A,X_18)) ),[0],$fot(product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))))]]) ).

cnf(refute_0_41,plain,
    ( product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))) != product(A,X_18)
    | product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18)))) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    product(product(A,product(product(A,X_18),X_18)),bigC(A,X_18,product(A,X_18))) = product(A,X_18),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_18)),product(A,X_18)),bigC(A,X_18,product(A,X_18))),product(A,X_18)) )],[refute_0_21,refute_0_41]) ).

cnf(refute_0_43,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(c)),bind(X_18,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_44,plain,
    product(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(subst,[],[refute_0_11:[bind(A,$fot(c)),bind(B,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_45,plain,
    product(product(product(product(a,bigC(a,b,product(b,a))),c),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = c,
    inference(subst,[],[refute_0_11:[bind(A,$fot(product(a,bigC(a,b,product(b,a))))),bind(B,$fot(c))]]) ).

cnf(refute_0_46,plain,
    bigC(X_17,X_18,X_17) = product(product(X_17,X_18),product(X_17,X_17)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_17))]]) ).

cnf(refute_0_47,plain,
    product(X_17,X_17) = X_17,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_17))]]) ).

cnf(refute_0_48,plain,
    ( bigC(X_17,X_18,X_17) != product(product(X_17,X_18),product(X_17,X_17))
    | product(X_17,X_17) != X_17
    | bigC(X_17,X_18,X_17) = product(product(X_17,X_18),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,X_18,X_17),product(product(X_17,X_18),product(X_17,X_17))) ),[1,1],$fot(X_17)]]) ).

cnf(refute_0_49,plain,
    ( bigC(X_17,X_18,X_17) != product(product(X_17,X_18),product(X_17,X_17))
    | bigC(X_17,X_18,X_17) = product(product(X_17,X_18),X_17) ),
    inference(resolve,[$cnf( $equal(product(X_17,X_17),X_17) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    bigC(X_17,X_18,X_17) = product(product(X_17,X_18),X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,X_17),product(product(X_17,X_18),product(X_17,X_17))) )],[refute_0_46,refute_0_49]) ).

cnf(refute_0_51,plain,
    bigC(quotient(A,X_22),X_22,quotient(A,X_22)) = product(product(quotient(A,X_22),X_22),quotient(A,X_22)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(quotient(A,X_22))),bind(X_18,$fot(X_22))]]) ).

cnf(refute_0_52,plain,
    product(quotient(A,B),B) = A,
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_53,plain,
    product(quotient(A,X_22),X_22) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_54,plain,
    ( bigC(quotient(A,X_22),X_22,quotient(A,X_22)) != product(product(quotient(A,X_22),X_22),quotient(A,X_22))
    | product(quotient(A,X_22),X_22) != A
    | bigC(quotient(A,X_22),X_22,quotient(A,X_22)) = product(A,quotient(A,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(A,X_22),X_22,quotient(A,X_22)),product(product(quotient(A,X_22),X_22),quotient(A,X_22))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_55,plain,
    ( bigC(quotient(A,X_22),X_22,quotient(A,X_22)) != product(product(quotient(A,X_22),X_22),quotient(A,X_22))
    | bigC(quotient(A,X_22),X_22,quotient(A,X_22)) = product(A,quotient(A,X_22)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_22),X_22),A) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    bigC(quotient(A,X_22),X_22,quotient(A,X_22)) = product(A,quotient(A,X_22)),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_22),X_22,quotient(A,X_22)),product(product(quotient(A,X_22),X_22),quotient(A,X_22))) )],[refute_0_51,refute_0_55]) ).

cnf(refute_0_57,plain,
    bigC(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(c,bigC(a,b,product(b,a))))),bind(X_22,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_58,plain,
    quotient(product(A,B),B) = A,
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_59,plain,
    quotient(product(A,difference(A,X_8)),difference(A,X_8)) = A,
    inference(subst,[],[refute_0_58:[bind(B,$fot(difference(A,X_8)))]]) ).

cnf(refute_0_60,plain,
    product(A,difference(A,X_8)) = X_8,
    inference(subst,[],[refute_0_3:[bind(B,$fot(X_8))]]) ).

cnf(refute_0_61,plain,
    ( product(A,difference(A,X_8)) != X_8
    | quotient(product(A,difference(A,X_8)),difference(A,X_8)) != A
    | quotient(X_8,difference(A,X_8)) = A ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(A,difference(A,X_8)),difference(A,X_8)),A) ),[0,0],$fot(X_8)]]) ).

cnf(refute_0_62,plain,
    ( quotient(product(A,difference(A,X_8)),difference(A,X_8)) != A
    | quotient(X_8,difference(A,X_8)) = A ),
    inference(resolve,[$cnf( $equal(product(A,difference(A,X_8)),X_8) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    quotient(X_8,difference(A,X_8)) = A,
    inference(resolve,[$cnf( $equal(quotient(product(A,difference(A,X_8)),difference(A,X_8)),A) )],[refute_0_59,refute_0_62]) ).

cnf(refute_0_64,plain,
    quotient(product(c,bigC(a,b,product(b,a))),difference(product(a,b),product(c,bigC(a,b,product(b,a))))) = product(a,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(a,b))),bind(X_8,$fot(product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_65,plain,
    difference(product(X_17,X_18),product(product(X_17,X_18),product(X_19,X_17))) = product(X_19,X_17),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(X_17,X_18))),bind(B,$fot(product(X_19,X_17)))]]) ).

cnf(refute_0_66,plain,
    bigC(X_17,X_18,X_19) = product(product(X_17,X_18),product(X_19,X_17)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_67,plain,
    ( bigC(X_17,X_18,X_19) != product(product(X_17,X_18),product(X_19,X_17))
    | product(product(X_17,X_18),product(X_19,X_17)) = bigC(X_17,X_18,X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_17,X_18,X_19))),bind(Y,$fot(product(product(X_17,X_18),product(X_19,X_17))))]]) ).

cnf(refute_0_68,plain,
    product(product(X_17,X_18),product(X_19,X_17)) = bigC(X_17,X_18,X_19),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,X_19),product(product(X_17,X_18),product(X_19,X_17))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( difference(product(X_17,X_18),product(product(X_17,X_18),product(X_19,X_17))) != product(X_19,X_17)
    | product(product(X_17,X_18),product(X_19,X_17)) != bigC(X_17,X_18,X_19)
    | difference(product(X_17,X_18),bigC(X_17,X_18,X_19)) = product(X_19,X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_17,X_18),product(product(X_17,X_18),product(X_19,X_17))),product(X_19,X_17)) ),[0,1],$fot(bigC(X_17,X_18,X_19))]]) ).

cnf(refute_0_70,plain,
    ( difference(product(X_17,X_18),product(product(X_17,X_18),product(X_19,X_17))) != product(X_19,X_17)
    | difference(product(X_17,X_18),bigC(X_17,X_18,X_19)) = product(X_19,X_17) ),
    inference(resolve,[$cnf( $equal(product(product(X_17,X_18),product(X_19,X_17)),bigC(X_17,X_18,X_19)) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    difference(product(X_17,X_18),bigC(X_17,X_18,X_19)) = product(X_19,X_17),
    inference(resolve,[$cnf( $equal(difference(product(X_17,X_18),product(product(X_17,X_18),product(X_19,X_17))),product(X_19,X_17)) )],[refute_0_65,refute_0_70]) ).

cnf(refute_0_72,plain,
    difference(product(a,b),bigC(a,b,product(b,product(a,c)))) = product(product(b,product(a,c)),a),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(a)),bind(X_18,$fot(b)),bind(X_19,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_73,plain,
    product(bigC(a,a,b),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))) = product(c,bigC(a,b,product(b,a))),
    inference(subst,[],[refute_0_3:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_74,plain,
    difference(product(product(c,a),c),bigC(product(c,a),c,bigC(b,b,c))) = product(bigC(b,b,c),product(c,a)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(c,a))),bind(X_18,$fot(c)),bind(X_19,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_75,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,[],[refute_0_9:[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_76,plain,
    product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))) = X_16,
    inference(subst,[],[refute_0_11:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).

cnf(refute_0_77,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_78,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_76,refute_0_77]) ).

cnf(refute_0_79,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_75,refute_0_78]) ).

cnf(refute_0_80,plain,
    difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),a)),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(a)),bind(X_16,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_81,plain,
    bigC(X_18,X_18,X_19) = product(product(X_18,X_18),product(X_19,X_18)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_18)),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_82,plain,
    product(X_18,X_18) = X_18,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_18))]]) ).

cnf(refute_0_83,plain,
    ( bigC(X_18,X_18,X_19) != product(product(X_18,X_18),product(X_19,X_18))
    | product(X_18,X_18) != X_18
    | bigC(X_18,X_18,X_19) = product(X_18,product(X_19,X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_18,X_18,X_19),product(product(X_18,X_18),product(X_19,X_18))) ),[1,0],$fot(X_18)]]) ).

cnf(refute_0_84,plain,
    ( bigC(X_18,X_18,X_19) != product(product(X_18,X_18),product(X_19,X_18))
    | bigC(X_18,X_18,X_19) = product(X_18,product(X_19,X_18)) ),
    inference(resolve,[$cnf( $equal(product(X_18,X_18),X_18) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    bigC(X_18,X_18,X_19) = product(X_18,product(X_19,X_18)),
    inference(resolve,[$cnf( $equal(bigC(X_18,X_18,X_19),product(product(X_18,X_18),product(X_19,X_18))) )],[refute_0_81,refute_0_84]) ).

cnf(refute_0_86,plain,
    bigC(X_35,X_35,product(X_35,X_18)) = product(X_35,product(product(X_35,X_18),X_35)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(X_35)),bind(X_19,$fot(product(X_35,X_18)))]]) ).

cnf(refute_0_87,plain,
    bigC(X_35,X_18,X_35) = product(product(X_35,X_18),X_35),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_35))]]) ).

cnf(refute_0_88,plain,
    ( bigC(X_35,X_18,X_35) != product(product(X_35,X_18),X_35)
    | product(product(X_35,X_18),X_35) = bigC(X_35,X_18,X_35) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_35,X_18,X_35))),bind(Y,$fot(product(product(X_35,X_18),X_35)))]]) ).

cnf(refute_0_89,plain,
    product(product(X_35,X_18),X_35) = bigC(X_35,X_18,X_35),
    inference(resolve,[$cnf( $equal(bigC(X_35,X_18,X_35),product(product(X_35,X_18),X_35)) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( bigC(X_35,X_35,product(X_35,X_18)) != product(X_35,product(product(X_35,X_18),X_35))
    | product(product(X_35,X_18),X_35) != bigC(X_35,X_18,X_35)
    | bigC(X_35,X_35,product(X_35,X_18)) = product(X_35,bigC(X_35,X_18,X_35)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_35,X_35,product(X_35,X_18)),product(X_35,product(product(X_35,X_18),X_35))) ),[1,1],$fot(bigC(X_35,X_18,X_35))]]) ).

cnf(refute_0_91,plain,
    ( bigC(X_35,X_35,product(X_35,X_18)) != product(X_35,product(product(X_35,X_18),X_35))
    | bigC(X_35,X_35,product(X_35,X_18)) = product(X_35,bigC(X_35,X_18,X_35)) ),
    inference(resolve,[$cnf( $equal(product(product(X_35,X_18),X_35),bigC(X_35,X_18,X_35)) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    bigC(X_35,X_35,product(X_35,X_18)) = product(X_35,bigC(X_35,X_18,X_35)),
    inference(resolve,[$cnf( $equal(bigC(X_35,X_35,product(X_35,X_18)),product(X_35,product(product(X_35,X_18),X_35))) )],[refute_0_86,refute_0_91]) ).

cnf(refute_0_93,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),bigC(product(c,a),product(b,c),product(c,a))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(b,c))),bind(X_35,$fot(product(c,a)))]]) ).

cnf(refute_0_94,plain,
    bigC(X_17,difference(X_17,B),X_19) = product(product(X_17,difference(X_17,B)),product(X_19,X_17)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_17)),bind(B,$fot(difference(X_17,B))),bind(C,$fot(X_19))]]) ).

cnf(refute_0_95,plain,
    product(X_17,difference(X_17,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_17))]]) ).

cnf(refute_0_96,plain,
    ( bigC(X_17,difference(X_17,B),X_19) != product(product(X_17,difference(X_17,B)),product(X_19,X_17))
    | product(X_17,difference(X_17,B)) != B
    | bigC(X_17,difference(X_17,B),X_19) = product(B,product(X_19,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,difference(X_17,B),X_19),product(product(X_17,difference(X_17,B)),product(X_19,X_17))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_97,plain,
    ( bigC(X_17,difference(X_17,B),X_19) != product(product(X_17,difference(X_17,B)),product(X_19,X_17))
    | bigC(X_17,difference(X_17,B),X_19) = product(B,product(X_19,X_17)) ),
    inference(resolve,[$cnf( $equal(product(X_17,difference(X_17,B)),B) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    bigC(X_17,difference(X_17,B),X_19) = product(B,product(X_19,X_17)),
    inference(resolve,[$cnf( $equal(bigC(X_17,difference(X_17,B),X_19),product(product(X_17,difference(X_17,B)),product(X_19,X_17))) )],[refute_0_94,refute_0_97]) ).

cnf(refute_0_99,plain,
    bigC(product(c,a),difference(product(c,a),c),X_19) = product(c,product(X_19,product(c,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(c)),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_100,plain,
    difference(product(c,a),bigC(c,a,b)) = product(b,c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(a)),bind(X_19,$fot(b))]]) ).

cnf(refute_0_101,plain,
    quotient(product(bigC(c,a,b),product(c,b)),product(c,b)) = bigC(c,a,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_102,plain,
    bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,b),X_18),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(B,$fot(X_18)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_103,plain,
    product(product(a,c),product(c,b)) = product(a,b),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_104,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,b),X_18),product(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,b),X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,b),X_18),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_105,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,b),X_18),product(product(a,c),product(c,b)))
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,b),X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,b),X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,b),X_18),product(product(a,c),product(c,b)))) )],[refute_0_102,refute_0_105]) ).

cnf(refute_0_107,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(product(product(c,b),product(c,b)),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_108,plain,
    product(product(c,b),product(c,b)) = product(c,b),
    inference(subst,[],[refute_0_22:[bind(A,$fot(product(c,b)))]]) ).

cnf(refute_0_109,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(product(c,b),product(c,b)),product(a,b))
    | product(product(c,b),product(c,b)) != product(c,b)
    | bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(product(c,b),product(c,b)),product(a,b))) ),[1,0],$fot(product(c,b))]]) ).

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

cnf(refute_0_111,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(product(c,b),product(c,b)),product(a,b))) )],[refute_0_107,refute_0_110]) ).

cnf(refute_0_112,plain,
    product(product(A,B),product(C,A)) = product(product(A,C),product(B,A)),
    inference(subst,[],[refute_0_27:[bind(D,$fot(A))]]) ).

cnf(refute_0_113,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_114,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_112,refute_0_113]) ).

cnf(refute_0_115,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))) )],[refute_0_1,refute_0_114]) ).

cnf(refute_0_116,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_16:[bind(X,$fot(bigC(A,B,C))),bind(Y,$fot(product(product(A,B),product(C,A))))]]) ).

cnf(refute_0_117,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))) )],[refute_0_1,refute_0_116]) ).

cnf(refute_0_118,plain,
    product(product(A,C),product(B,A)) = bigC(A,C,B),
    inference(subst,[],[refute_0_117:[bind(B,$fot(C)),bind(C,$fot(B))]]) ).

cnf(refute_0_119,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_120,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_118,refute_0_119]) ).

cnf(refute_0_121,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_115,refute_0_120]) ).

cnf(refute_0_122,plain,
    ( bigC(A,B,C) != bigC(A,C,B)
    | bigC(A,C,B) = bigC(A,B,C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,B,C))),bind(Y,$fot(bigC(A,C,B)))]]) ).

cnf(refute_0_123,plain,
    bigC(A,C,B) = bigC(A,B,C),
    inference(resolve,[$cnf( $equal(bigC(A,B,C),bigC(A,C,B)) )],[refute_0_121,refute_0_122]) ).

cnf(refute_0_124,plain,
    bigC(c,b,a) = bigC(c,a,b),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_125,plain,
    product(bigC(c,b,a),product(c,b)) = product(bigC(c,b,a),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),product(c,b)))]]) ).

cnf(refute_0_126,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(c,b)) != product(bigC(c,b,a),product(c,b))
    | product(bigC(c,b,a),product(c,b)) = product(bigC(c,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),product(c,b)),product(bigC(c,b,a),product(c,b))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_127,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(c,b)) = product(bigC(c,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(c,b)),product(bigC(c,b,a),product(c,b))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    product(bigC(c,b,a),product(c,b)) = product(bigC(c,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_124,refute_0_127]) ).

cnf(refute_0_129,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_50:[bind(X_17,$fot(product(A,B))),bind(X_18,$fot(product(C,A)))]]) ).

cnf(refute_0_130,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_131,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_117,refute_0_130]) ).

cnf(refute_0_132,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_129,refute_0_131]) ).

cnf(refute_0_133,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) = product(product(product(X_23,X_24),product(X_25,X_26)),product(X_23,X_24)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(X_23,X_24))),bind(X_18,$fot(product(X_25,X_26)))]]) ).

cnf(refute_0_134,plain,
    product(product(X_23,X_24),product(X_25,X_26)) = product(product(X_23,X_25),product(X_24,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_135,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(product(product(X_23,X_24),product(X_25,X_26)),product(X_23,X_24))
    | product(product(X_23,X_24),product(X_25,X_26)) != product(product(X_23,X_25),product(X_24,X_26))
    | bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)),product(product(product(X_23,X_24),product(X_25,X_26)),product(X_23,X_24))) ),[1,0],$fot(product(product(X_23,X_25),product(X_24,X_26)))]]) ).

cnf(refute_0_136,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(product(product(X_23,X_24),product(X_25,X_26)),product(X_23,X_24))
    | bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,X_26)),product(product(X_23,X_25),product(X_24,X_26))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)),product(product(product(X_23,X_24),product(X_25,X_26)),product(X_23,X_24))) )],[refute_0_133,refute_0_136]) ).

cnf(refute_0_138,plain,
    bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(product(product(X_25,X_26),X_18),product(X_25,X_26)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(X_25,X_26)))]]) ).

cnf(refute_0_139,plain,
    product(product(product(X_25,X_26),X_18),product(X_25,X_26)) = product(product(product(X_25,X_26),X_25),product(X_18,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(X_25,X_26))),bind(B,$fot(X_18)),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_140,plain,
    ( bigC(product(X_25,X_26),X_18,product(X_25,X_26)) != product(product(product(X_25,X_26),X_18),product(X_25,X_26))
    | product(product(product(X_25,X_26),X_18),product(X_25,X_26)) != product(product(product(X_25,X_26),X_25),product(X_18,X_26))
    | bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(product(product(X_25,X_26),X_25),product(X_18,X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_25,X_26),X_18,product(X_25,X_26)),product(product(product(X_25,X_26),X_25),product(X_18,X_26))) ),[0],$fot(product(product(product(X_25,X_26),X_18),product(X_25,X_26)))]]) ).

cnf(refute_0_141,plain,
    ( bigC(product(X_25,X_26),X_18,product(X_25,X_26)) != product(product(product(X_25,X_26),X_18),product(X_25,X_26))
    | bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(product(product(X_25,X_26),X_25),product(X_18,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_25,X_26),X_18),product(X_25,X_26)),product(product(product(X_25,X_26),X_25),product(X_18,X_26))) )],[refute_0_139,refute_0_140]) ).

cnf(refute_0_142,plain,
    bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(product(product(X_25,X_26),X_25),product(X_18,X_26)),
    inference(resolve,[$cnf( $equal(bigC(product(X_25,X_26),X_18,product(X_25,X_26)),product(product(product(X_25,X_26),X_18),product(X_25,X_26))) )],[refute_0_138,refute_0_141]) ).

cnf(refute_0_143,plain,
    ( bigC(X_17,X_18,X_17) != product(product(X_17,X_18),X_17)
    | product(product(X_17,X_18),X_17) = bigC(X_17,X_18,X_17) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_17,X_18,X_17))),bind(Y,$fot(product(product(X_17,X_18),X_17)))]]) ).

cnf(refute_0_144,plain,
    product(product(X_17,X_18),X_17) = bigC(X_17,X_18,X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,X_17),product(product(X_17,X_18),X_17)) )],[refute_0_50,refute_0_143]) ).

cnf(refute_0_145,plain,
    product(product(X_25,X_26),X_25) = bigC(X_25,X_26,X_25),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(X_25)),bind(X_18,$fot(X_26))]]) ).

cnf(refute_0_146,plain,
    product(product(product(X_25,X_26),X_25),product(X_18,X_26)) = product(product(product(X_25,X_26),X_25),product(X_18,X_26)),
    introduced(tautology,[refl,[$fot(product(product(product(X_25,X_26),X_25),product(X_18,X_26)))]]) ).

cnf(refute_0_147,plain,
    ( product(product(X_25,X_26),X_25) != bigC(X_25,X_26,X_25)
    | product(product(product(X_25,X_26),X_25),product(X_18,X_26)) != product(product(product(X_25,X_26),X_25),product(X_18,X_26))
    | product(product(product(X_25,X_26),X_25),product(X_18,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_25,X_26),X_25),product(X_18,X_26)),product(product(product(X_25,X_26),X_25),product(X_18,X_26))) ),[1,0],$fot(bigC(X_25,X_26,X_25))]]) ).

cnf(refute_0_148,plain,
    ( product(product(X_25,X_26),X_25) != bigC(X_25,X_26,X_25)
    | product(product(product(X_25,X_26),X_25),product(X_18,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_25,X_26),X_25),product(X_18,X_26)),product(product(product(X_25,X_26),X_25),product(X_18,X_26))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    product(product(product(X_25,X_26),X_25),product(X_18,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_25,X_26),X_25),bigC(X_25,X_26,X_25)) )],[refute_0_145,refute_0_148]) ).

cnf(refute_0_150,plain,
    ( bigC(product(X_25,X_26),X_18,product(X_25,X_26)) != product(product(product(X_25,X_26),X_25),product(X_18,X_26))
    | product(product(product(X_25,X_26),X_25),product(X_18,X_26)) != product(bigC(X_25,X_26,X_25),product(X_18,X_26))
    | bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_25,X_26),X_18,product(X_25,X_26)),product(bigC(X_25,X_26,X_25),product(X_18,X_26))) ),[0],$fot(product(product(product(X_25,X_26),X_25),product(X_18,X_26)))]]) ).

cnf(refute_0_151,plain,
    ( bigC(product(X_25,X_26),X_18,product(X_25,X_26)) != product(product(product(X_25,X_26),X_25),product(X_18,X_26))
    | bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_25,X_26),X_25),product(X_18,X_26)),product(bigC(X_25,X_26,X_25),product(X_18,X_26))) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    bigC(product(X_25,X_26),X_18,product(X_25,X_26)) = product(bigC(X_25,X_26,X_25),product(X_18,X_26)),
    inference(resolve,[$cnf( $equal(bigC(product(X_25,X_26),X_18,product(X_25,X_26)),product(product(product(X_25,X_26),X_25),product(X_18,X_26))) )],[refute_0_142,refute_0_151]) ).

cnf(refute_0_153,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) = product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(product(X_25,X_26))),bind(X_25,$fot(X_23)),bind(X_26,$fot(X_24))]]) ).

cnf(refute_0_154,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24))
    | bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))
    | product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)),product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))) ),[0],$fot(product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)))]]) ).

cnf(refute_0_155,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))
    | product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)),product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24))) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    product(product(X_24,X_26),X_24) = bigC(X_24,X_26,X_24),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(X_24)),bind(X_18,$fot(X_26))]]) ).

cnf(refute_0_157,plain,
    product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) = product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)),
    introduced(tautology,[refl,[$fot(product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)))]]) ).

cnf(refute_0_158,plain,
    ( product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) != product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24))
    | product(product(X_24,X_26),X_24) != bigC(X_24,X_26,X_24)
    | product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)),product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24))) ),[1,1],$fot(bigC(X_24,X_26,X_24))]]) ).

cnf(refute_0_159,plain,
    ( product(product(X_24,X_26),X_24) != bigC(X_24,X_26,X_24)
    | product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)),product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24))) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)),
    inference(resolve,[$cnf( $equal(product(product(X_24,X_26),X_24),bigC(X_24,X_26,X_24)) )],[refute_0_156,refute_0_159]) ).

cnf(refute_0_161,plain,
    product(product(product(X_24,X_18),X_24),product(X_25,X_26)) = product(product(product(X_24,X_18),X_25),product(X_24,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(X_24,X_18))),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_162,plain,
    bigC(X_24,X_18,X_24) = product(product(X_24,X_18),X_24),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_24))]]) ).

cnf(refute_0_163,plain,
    ( bigC(X_24,X_18,X_24) != product(product(X_24,X_18),X_24)
    | product(product(X_24,X_18),X_24) = bigC(X_24,X_18,X_24) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_24,X_18,X_24))),bind(Y,$fot(product(product(X_24,X_18),X_24)))]]) ).

cnf(refute_0_164,plain,
    product(product(X_24,X_18),X_24) = bigC(X_24,X_18,X_24),
    inference(resolve,[$cnf( $equal(bigC(X_24,X_18,X_24),product(product(X_24,X_18),X_24)) )],[refute_0_162,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( product(product(X_24,X_18),X_24) != bigC(X_24,X_18,X_24)
    | product(product(product(X_24,X_18),X_24),product(X_25,X_26)) != product(product(product(X_24,X_18),X_25),product(X_24,X_26))
    | product(bigC(X_24,X_18,X_24),product(X_25,X_26)) = product(product(product(X_24,X_18),X_25),product(X_24,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_24,X_18),X_24),product(X_25,X_26)),product(product(product(X_24,X_18),X_25),product(X_24,X_26))) ),[0,0],$fot(bigC(X_24,X_18,X_24))]]) ).

cnf(refute_0_166,plain,
    ( product(product(product(X_24,X_18),X_24),product(X_25,X_26)) != product(product(product(X_24,X_18),X_25),product(X_24,X_26))
    | product(bigC(X_24,X_18,X_24),product(X_25,X_26)) = product(product(product(X_24,X_18),X_25),product(X_24,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_24,X_18),X_24),bigC(X_24,X_18,X_24)) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    product(bigC(X_24,X_18,X_24),product(X_25,X_26)) = product(product(product(X_24,X_18),X_25),product(X_24,X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(X_24,X_18),X_24),product(X_25,X_26)),product(product(product(X_24,X_18),X_25),product(X_24,X_26))) )],[refute_0_161,refute_0_166]) ).

cnf(refute_0_168,plain,
    ( product(bigC(X_24,X_18,X_24),product(X_25,X_26)) != product(product(product(X_24,X_18),X_25),product(X_24,X_26))
    | product(product(product(X_24,X_18),X_25),product(X_24,X_26)) = product(bigC(X_24,X_18,X_24),product(X_25,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(X_24,X_18,X_24),product(X_25,X_26)))),bind(Y,$fot(product(product(product(X_24,X_18),X_25),product(X_24,X_26))))]]) ).

cnf(refute_0_169,plain,
    product(product(product(X_24,X_18),X_25),product(X_24,X_26)) = product(bigC(X_24,X_18,X_24),product(X_25,X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(X_24,X_18,X_24),product(X_25,X_26)),product(product(product(X_24,X_18),X_25),product(X_24,X_26))) )],[refute_0_167,refute_0_168]) ).

cnf(refute_0_170,plain,
    product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) = product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_25)),bind(X_24,$fot(X_23)),bind(X_25,$fot(product(X_24,X_26))),bind(X_26,$fot(X_24))]]) ).

cnf(refute_0_171,plain,
    ( product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) != product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) != product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)))),bind(Y,$fot(product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)))),bind(Z,$fot(product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))))]]) ).

cnf(refute_0_172,plain,
    ( product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)) != product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)),product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)),
    inference(resolve,[$cnf( $equal(product(bigC(X_23,X_25,X_23),product(product(X_24,X_26),X_24)),product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))) )],[refute_0_160,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)) != product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))
    | product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)),product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))) ),[0],$fot(product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)))]]) ).

cnf(refute_0_175,plain,
    ( product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))
    | product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24)),product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))
    | product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)),product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))) )],[refute_0_155,refute_0_175]) ).

cnf(refute_0_177,plain,
    product(bigC(X_23,X_24,X_23),product(product(X_25,X_26),X_24)) = product(bigC(X_23,X_25,X_23),bigC(X_24,X_26,X_24)),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),product(X_23,X_24)),product(product(product(X_23,X_25),product(X_24,X_26)),product(X_23,X_24))) )],[refute_0_137,refute_0_176]) ).

cnf(refute_0_178,plain,
    product(bigC(A,B,A),product(product(C,A),B)) = product(bigC(A,C,A),bigC(B,A,B)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(A)),bind(X_24,$fot(B)),bind(X_25,$fot(C)),bind(X_26,$fot(A))]]) ).

cnf(refute_0_179,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_152:[bind(X_18,$fot(product(C,A))),bind(X_25,$fot(A)),bind(X_26,$fot(B))]]) ).

cnf(refute_0_180,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_32:[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_181,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_179,refute_0_180]) ).

cnf(refute_0_182,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_178,refute_0_181]) ).

cnf(refute_0_183,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_184,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_182,refute_0_183]) ).

cnf(refute_0_185,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_132,refute_0_184]) ).

cnf(refute_0_186,plain,
    product(bigC(c,a,c),bigC(b,c,b)) = product(bigC(c,b,a),product(c,b)),
    inference(subst,[],[refute_0_185:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_187,plain,
    product(bigC(c,b,c),product(product(a,c),b)) = product(bigC(c,a,c),bigC(b,c,b)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_188,plain,
    ( product(bigC(c,a,c),bigC(b,c,b)) != product(bigC(c,b,a),product(c,b))
    | product(bigC(c,b,c),product(product(a,c),b)) != product(bigC(c,a,c),bigC(b,c,b))
    | product(bigC(c,b,c),product(product(a,c),b)) = product(bigC(c,b,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,b,c),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,a,c),bigC(b,c,b)))),bind(Z,$fot(product(bigC(c,b,a),product(c,b))))]]) ).

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

cnf(refute_0_190,plain,
    product(bigC(c,b,c),product(product(a,c),b)) = product(bigC(c,b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,c,b)),product(bigC(c,b,a),product(c,b))) )],[refute_0_186,refute_0_189]) ).

cnf(refute_0_191,plain,
    bigC(product(c,b),product(a,c),product(c,b)) = product(bigC(c,b,c),product(product(a,c),b)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(product(a,c))),bind(X_25,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_192,plain,
    ( bigC(product(c,b),product(a,c),product(c,b)) != product(bigC(c,b,c),product(product(a,c),b))
    | product(bigC(c,b,c),product(product(a,c),b)) != product(bigC(c,b,a),product(c,b))
    | bigC(product(c,b),product(a,c),product(c,b)) = product(bigC(c,b,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(a,c),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(product(a,c),b)))),bind(Z,$fot(product(bigC(c,b,a),product(c,b))))]]) ).

cnf(refute_0_193,plain,
    ( product(bigC(c,b,c),product(product(a,c),b)) != product(bigC(c,b,a),product(c,b))
    | bigC(product(c,b),product(a,c),product(c,b)) = product(bigC(c,b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),product(c,b)),product(bigC(c,b,c),product(product(a,c),b))) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    bigC(product(c,b),product(a,c),product(c,b)) = product(bigC(c,b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(product(a,c),b)),product(bigC(c,b,a),product(c,b))) )],[refute_0_190,refute_0_193]) ).

cnf(refute_0_195,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_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_196,plain,
    ( bigC(product(c,b),product(a,c),product(c,b)) != product(bigC(c,b,a),product(c,b))
    | 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(bigC(c,b,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(a,c)))),bind(Y,$fot(bigC(product(c,b),product(a,c),product(c,b)))),bind(Z,$fot(product(bigC(c,b,a),product(c,b))))]]) ).

cnf(refute_0_197,plain,
    ( bigC(product(c,b),product(a,c),product(c,b)) != product(bigC(c,b,a),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,b,a),product(c,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_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),product(c,b)),product(bigC(c,b,a),product(c,b))) )],[refute_0_194,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(bigC(c,b,a),product(c,b))
    | product(bigC(c,b,a),product(c,b)) != product(bigC(c,a,b),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,b),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(a,c)))),bind(Y,$fot(product(bigC(c,b,a),product(c,b)))),bind(Z,$fot(product(bigC(c,a,b),product(c,b))))]]) ).

cnf(refute_0_200,plain,
    ( product(bigC(c,b,a),product(c,b)) != product(bigC(c,a,b),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(bigC(c,b,a),product(c,b))) )],[refute_0_198,refute_0_199]) ).

cnf(refute_0_201,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(c,b)),product(bigC(c,a,b),product(c,b))) )],[refute_0_128,refute_0_200]) ).

cnf(refute_0_202,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(bigC(c,a,b),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,b),product(c,b)) = 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,b),product(c,b)))]]) ).

cnf(refute_0_203,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,b),product(c,b)) = 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,b),product(c,b))) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    product(product(X_23,X_24),product(X_26,X_26)) = product(product(X_23,X_26),product(X_24,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_26)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_205,plain,
    product(X_26,X_26) = X_26,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_26))]]) ).

cnf(refute_0_206,plain,
    ( product(X_26,X_26) != X_26
    | product(product(X_23,X_24),product(X_26,X_26)) != product(product(X_23,X_26),product(X_24,X_26))
    | product(product(X_23,X_24),X_26) = product(product(X_23,X_26),product(X_24,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(X_26,X_26)),product(product(X_23,X_26),product(X_24,X_26))) ),[0,1],$fot(X_26)]]) ).

cnf(refute_0_207,plain,
    ( product(product(X_23,X_24),product(X_26,X_26)) != product(product(X_23,X_26),product(X_24,X_26))
    | product(product(X_23,X_24),X_26) = product(product(X_23,X_26),product(X_24,X_26)) ),
    inference(resolve,[$cnf( $equal(product(X_26,X_26),X_26) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    product(product(X_23,X_24),X_26) = product(product(X_23,X_26),product(X_24,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_26,X_26)),product(product(X_23,X_26),product(X_24,X_26))) )],[refute_0_204,refute_0_207]) ).

cnf(refute_0_209,plain,
    ( product(product(X_23,X_24),X_26) != product(product(X_23,X_26),product(X_24,X_26))
    | product(product(X_23,X_26),product(X_24,X_26)) = product(product(X_23,X_24),X_26) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),X_26))),bind(Y,$fot(product(product(X_23,X_26),product(X_24,X_26))))]]) ).

cnf(refute_0_210,plain,
    product(product(X_23,X_26),product(X_24,X_26)) = product(product(X_23,X_24),X_26),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),X_26),product(product(X_23,X_26),product(X_24,X_26))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    product(product(c,b),product(a,b)) = product(product(c,a),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(c)),bind(X_24,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_212,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(bigC(c,a,b),product(c,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

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

cnf(refute_0_214,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,b),product(c,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,b),product(a,b))) )],[refute_0_203,refute_0_213]) ).

cnf(refute_0_215,plain,
    product(bigC(c,a,b),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,b),product(a,b))) )],[refute_0_111,refute_0_214]) ).

cnf(refute_0_216,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | quotient(product(bigC(c,a,b),product(c,b)),product(c,b)) != bigC(c,a,b)
    | quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(c,b)),product(c,b)),bigC(c,a,b)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_217,plain,
    ( quotient(product(bigC(c,a,b),product(c,b)),product(c,b)) != bigC(c,a,b)
    | quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(c,b)),product(c,b)),bigC(c,a,b)) )],[refute_0_101,refute_0_217]) ).

cnf(refute_0_219,plain,
    product(c,c) = c,
    inference(subst,[],[refute_0_22:[bind(A,$fot(c))]]) ).

cnf(refute_0_220,plain,
    quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) = product(X_65,X_66),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(X_65,X_66))),bind(B,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_221,plain,
    product(product(X_24,X_24),product(X_25,X_26)) = product(product(X_24,X_25),product(X_24,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_24)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_222,plain,
    product(X_24,X_24) = X_24,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_24))]]) ).

cnf(refute_0_223,plain,
    ( product(X_24,X_24) != X_24
    | product(product(X_24,X_24),product(X_25,X_26)) != product(product(X_24,X_25),product(X_24,X_26))
    | product(X_24,product(X_25,X_26)) = product(product(X_24,X_25),product(X_24,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_24,X_24),product(X_25,X_26)),product(product(X_24,X_25),product(X_24,X_26))) ),[0,0],$fot(X_24)]]) ).

cnf(refute_0_224,plain,
    ( product(product(X_24,X_24),product(X_25,X_26)) != product(product(X_24,X_25),product(X_24,X_26))
    | product(X_24,product(X_25,X_26)) = product(product(X_24,X_25),product(X_24,X_26)) ),
    inference(resolve,[$cnf( $equal(product(X_24,X_24),X_24) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    product(X_24,product(X_25,X_26)) = product(product(X_24,X_25),product(X_24,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_24,X_24),product(X_25,X_26)),product(product(X_24,X_25),product(X_24,X_26))) )],[refute_0_221,refute_0_224]) ).

cnf(refute_0_226,plain,
    product(X_65,product(X_66,X_67)) = product(product(X_65,X_66),product(X_65,X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_66)),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_227,plain,
    ( product(X_65,product(X_66,X_67)) != product(product(X_65,X_66),product(X_65,X_67))
    | product(product(X_65,X_66),product(X_65,X_67)) = product(X_65,product(X_66,X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_65,product(X_66,X_67)))),bind(Y,$fot(product(product(X_65,X_66),product(X_65,X_67))))]]) ).

cnf(refute_0_228,plain,
    product(product(X_65,X_66),product(X_65,X_67)) = product(X_65,product(X_66,X_67)),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),product(X_65,X_67))) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) != product(X_65,X_66)
    | quotient(product(X_65,product(X_66,X_67)),product(X_65,X_67)) = product(X_65,X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_66)) ),[0,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_230,plain,
    ( quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) != product(X_65,X_66)
    | quotient(product(X_65,product(X_66,X_67)),product(X_65,X_67)) = product(X_65,X_66) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_229]) ).

cnf(refute_0_231,plain,
    quotient(product(X_65,product(X_66,X_67)),product(X_65,X_67)) = product(X_65,X_66),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_66)) )],[refute_0_220,refute_0_230]) ).

cnf(refute_0_232,plain,
    quotient(product(c,product(c,b)),product(c,b)) = product(c,c),
    inference(subst,[],[refute_0_231:[bind(X_65,$fot(c)),bind(X_66,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_233,plain,
    ( product(c,c) != c
    | quotient(product(c,product(c,b)),product(c,b)) != product(c,c)
    | quotient(product(c,product(c,b)),product(c,b)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,b)),product(c,b)))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_234,plain,
    ( product(c,c) != c
    | quotient(product(c,product(c,b)),product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(c,b)),product(c,c)) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    quotient(product(c,product(c,b)),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_234]) ).

cnf(refute_0_236,plain,
    difference(a,product(a,product(product(c,a),b))) = product(product(c,a),b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_237,plain,
    bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(difference(bigC(c,a,b),product(a,c)),product(a,c))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(a,c))),bind(X_19,$fot(difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_238,plain,
    bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(product(product(a,c),quotient(product(a,b),product(a,c))),product(a,c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,c))),bind(X_18,$fot(quotient(product(a,b),product(a,c))))]]) ).

cnf(refute_0_239,plain,
    difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(quotient(product(c,b),product(a,c)))),bind(X_16,$fot(product(a,c)))]]) ).

cnf(refute_0_240,plain,
    quotient(product(product(B,X_22),B),B) = product(B,X_22),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(B,X_22)))]]) ).

cnf(refute_0_241,plain,
    bigC(B,X_22,B) = product(product(B,X_22),B),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(B)),bind(X_18,$fot(X_22))]]) ).

cnf(refute_0_242,plain,
    ( bigC(B,X_22,B) != product(product(B,X_22),B)
    | product(product(B,X_22),B) = bigC(B,X_22,B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(B,X_22,B))),bind(Y,$fot(product(product(B,X_22),B)))]]) ).

cnf(refute_0_243,plain,
    product(product(B,X_22),B) = bigC(B,X_22,B),
    inference(resolve,[$cnf( $equal(bigC(B,X_22,B),product(product(B,X_22),B)) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( product(product(B,X_22),B) != bigC(B,X_22,B)
    | quotient(product(product(B,X_22),B),B) != product(B,X_22)
    | quotient(bigC(B,X_22,B),B) = product(B,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(B,X_22),B),B),product(B,X_22)) ),[0,0],$fot(bigC(B,X_22,B))]]) ).

cnf(refute_0_245,plain,
    ( quotient(product(product(B,X_22),B),B) != product(B,X_22)
    | quotient(bigC(B,X_22,B),B) = product(B,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(B,X_22),B),bigC(B,X_22,B)) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    quotient(bigC(B,X_22,B),B) = product(B,X_22),
    inference(resolve,[$cnf( $equal(quotient(product(product(B,X_22),B),B),product(B,X_22)) )],[refute_0_240,refute_0_245]) ).

cnf(refute_0_247,plain,
    bigC(B,X_22,B) = bigC(B,B,X_22),
    inference(subst,[],[refute_0_121:[bind(A,$fot(B)),bind(B,$fot(X_22)),bind(C,$fot(B))]]) ).

cnf(refute_0_248,plain,
    ( bigC(B,X_22,B) != bigC(B,B,X_22)
    | quotient(bigC(B,X_22,B),B) != product(B,X_22)
    | quotient(bigC(B,B,X_22),B) = product(B,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(B,X_22,B),B),product(B,X_22)) ),[0,0],$fot(bigC(B,B,X_22))]]) ).

cnf(refute_0_249,plain,
    ( quotient(bigC(B,X_22,B),B) != product(B,X_22)
    | quotient(bigC(B,B,X_22),B) = product(B,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(B,X_22,B),bigC(B,B,X_22)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    quotient(bigC(B,B,X_22),B) = product(B,X_22),
    inference(resolve,[$cnf( $equal(quotient(bigC(B,X_22,B),B),product(B,X_22)) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    quotient(bigC(B,B,quotient(X_44,B)),B) = product(B,quotient(X_44,B)),
    inference(subst,[],[refute_0_250:[bind(X_22,$fot(quotient(X_44,B)))]]) ).

cnf(refute_0_252,plain,
    bigC(X_17,X_18,quotient(A,X_17)) = product(product(X_17,X_18),product(quotient(A,X_17),X_17)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_17)),bind(B,$fot(X_18)),bind(C,$fot(quotient(A,X_17)))]]) ).

cnf(refute_0_253,plain,
    product(quotient(A,X_17),X_17) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_17))]]) ).

cnf(refute_0_254,plain,
    ( bigC(X_17,X_18,quotient(A,X_17)) != product(product(X_17,X_18),product(quotient(A,X_17),X_17))
    | product(quotient(A,X_17),X_17) != A
    | bigC(X_17,X_18,quotient(A,X_17)) = product(product(X_17,X_18),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,X_18,quotient(A,X_17)),product(product(X_17,X_18),product(quotient(A,X_17),X_17))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_255,plain,
    ( bigC(X_17,X_18,quotient(A,X_17)) != product(product(X_17,X_18),product(quotient(A,X_17),X_17))
    | bigC(X_17,X_18,quotient(A,X_17)) = product(product(X_17,X_18),A) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_17),X_17),A) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    bigC(X_17,X_18,quotient(A,X_17)) = product(product(X_17,X_18),A),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,quotient(A,X_17)),product(product(X_17,X_18),product(quotient(A,X_17),X_17))) )],[refute_0_252,refute_0_255]) ).

cnf(refute_0_257,plain,
    bigC(B,B,quotient(X_44,B)) = product(product(B,B),X_44),
    inference(subst,[],[refute_0_256:[bind(A,$fot(X_44)),bind(X_17,$fot(B)),bind(X_18,$fot(B))]]) ).

cnf(refute_0_258,plain,
    ( bigC(B,B,quotient(X_44,B)) != product(product(B,B),X_44)
    | quotient(bigC(B,B,quotient(X_44,B)),B) != product(B,quotient(X_44,B))
    | quotient(product(product(B,B),X_44),B) = product(B,quotient(X_44,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(B,B,quotient(X_44,B)),B),product(B,quotient(X_44,B))) ),[0,0],$fot(product(product(B,B),X_44))]]) ).

cnf(refute_0_259,plain,
    ( quotient(bigC(B,B,quotient(X_44,B)),B) != product(B,quotient(X_44,B))
    | quotient(product(product(B,B),X_44),B) = product(B,quotient(X_44,B)) ),
    inference(resolve,[$cnf( $equal(bigC(B,B,quotient(X_44,B)),product(product(B,B),X_44)) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    quotient(product(product(B,B),X_44),B) = product(B,quotient(X_44,B)),
    inference(resolve,[$cnf( $equal(quotient(bigC(B,B,quotient(X_44,B)),B),product(B,quotient(X_44,B))) )],[refute_0_251,refute_0_259]) ).

cnf(refute_0_261,plain,
    product(B,B) = B,
    inference(subst,[],[refute_0_22:[bind(A,$fot(B))]]) ).

cnf(refute_0_262,plain,
    product(product(B,B),X_44) = product(product(B,B),X_44),
    introduced(tautology,[refl,[$fot(product(product(B,B),X_44))]]) ).

cnf(refute_0_263,plain,
    ( product(B,B) != B
    | product(product(B,B),X_44) != product(product(B,B),X_44)
    | product(product(B,B),X_44) = product(B,X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(B,B),X_44),product(product(B,B),X_44)) ),[1,0],$fot(B)]]) ).

cnf(refute_0_264,plain,
    ( product(B,B) != B
    | product(product(B,B),X_44) = product(B,X_44) ),
    inference(resolve,[$cnf( $equal(product(product(B,B),X_44),product(product(B,B),X_44)) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    product(product(B,B),X_44) = product(B,X_44),
    inference(resolve,[$cnf( $equal(product(B,B),B) )],[refute_0_261,refute_0_264]) ).

cnf(refute_0_266,plain,
    quotient(product(product(B,B),X_44),B) = quotient(product(product(B,B),X_44),B),
    introduced(tautology,[refl,[$fot(quotient(product(product(B,B),X_44),B))]]) ).

cnf(refute_0_267,plain,
    ( product(product(B,B),X_44) != product(B,X_44)
    | quotient(product(product(B,B),X_44),B) != quotient(product(product(B,B),X_44),B)
    | quotient(product(product(B,B),X_44),B) = quotient(product(B,X_44),B) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(B,B),X_44),B),quotient(product(product(B,B),X_44),B)) ),[1,0],$fot(product(B,X_44))]]) ).

cnf(refute_0_268,plain,
    ( product(product(B,B),X_44) != product(B,X_44)
    | quotient(product(product(B,B),X_44),B) = quotient(product(B,X_44),B) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(B,B),X_44),B),quotient(product(product(B,B),X_44),B)) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    quotient(product(product(B,B),X_44),B) = quotient(product(B,X_44),B),
    inference(resolve,[$cnf( $equal(product(product(B,B),X_44),product(B,X_44)) )],[refute_0_265,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( quotient(product(product(B,B),X_44),B) != product(B,quotient(X_44,B))
    | quotient(product(product(B,B),X_44),B) != quotient(product(B,X_44),B)
    | quotient(product(B,X_44),B) = product(B,quotient(X_44,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(B,B),X_44),B),product(B,quotient(X_44,B))) ),[0],$fot(quotient(product(B,X_44),B))]]) ).

cnf(refute_0_271,plain,
    ( quotient(product(product(B,B),X_44),B) != product(B,quotient(X_44,B))
    | quotient(product(B,X_44),B) = product(B,quotient(X_44,B)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(B,B),X_44),B),quotient(product(B,X_44),B)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    quotient(product(B,X_44),B) = product(B,quotient(X_44,B)),
    inference(resolve,[$cnf( $equal(quotient(product(product(B,B),X_44),B),product(B,quotient(X_44,B))) )],[refute_0_260,refute_0_271]) ).

cnf(refute_0_273,plain,
    quotient(product(product(a,c),product(c,b)),product(a,c)) = product(product(a,c),quotient(product(c,b),product(a,c))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(a,c))),bind(X_44,$fot(product(c,b)))]]) ).

cnf(refute_0_274,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | quotient(product(product(a,c),product(c,b)),product(a,c)) != product(product(a,c),quotient(product(c,b),product(a,c)))
    | quotient(product(a,b),product(a,c)) = product(product(a,c),quotient(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),product(c,b)),product(a,c)),product(product(a,c),quotient(product(c,b),product(a,c)))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_275,plain,
    ( quotient(product(product(a,c),product(c,b)),product(a,c)) != product(product(a,c),quotient(product(c,b),product(a,c)))
    | quotient(product(a,b),product(a,c)) = product(product(a,c),quotient(product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_274]) ).

cnf(refute_0_276,plain,
    quotient(product(a,b),product(a,c)) = product(product(a,c),quotient(product(c,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),product(c,b)),product(a,c)),product(product(a,c),quotient(product(c,b),product(a,c)))) )],[refute_0_273,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( quotient(product(a,b),product(a,c)) != product(product(a,c),quotient(product(c,b),product(a,c)))
    | product(product(a,c),quotient(product(c,b),product(a,c))) = quotient(product(a,b),product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(product(a,b),product(a,c)))),bind(Y,$fot(product(product(a,c),quotient(product(c,b),product(a,c)))))]]) ).

cnf(refute_0_278,plain,
    product(product(a,c),quotient(product(c,b),product(a,c))) = quotient(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(a,c)),product(product(a,c),quotient(product(c,b),product(a,c)))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    ( difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))
    | product(product(a,c),quotient(product(c,b),product(a,c))) != quotient(product(a,b),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))) ),[1,1],$fot(quotient(product(a,b),product(a,c)))]]) ).

cnf(refute_0_280,plain,
    ( difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(product(c,b),product(a,c))),quotient(product(a,b),product(a,c))) )],[refute_0_278,refute_0_279]) ).

cnf(refute_0_281,plain,
    difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))) )],[refute_0_239,refute_0_280]) ).

cnf(refute_0_282,plain,
    product(product(c,b),product(a,c)) = bigC(c,b,a),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_283,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_32:[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_284,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_282,refute_0_283]) ).

cnf(refute_0_285,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_124,refute_0_284]) ).

cnf(refute_0_286,plain,
    difference(product(product(c,b),product(a,c)),product(a,c)) = difference(product(product(c,b),product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_287,plain,
    ( difference(product(product(c,b),product(a,c)),product(a,c)) != difference(product(product(c,b),product(a,c)),product(a,c))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(product(c,b),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(a,c)),difference(product(product(c,b),product(a,c)),product(a,c))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_288,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(product(c,b),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(a,c)),difference(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    difference(product(product(c,b),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_285,refute_0_288]) ).

cnf(refute_0_290,plain,
    difference(product(product(quotient(A,X_30),X_30),X_30),X_30) = product(X_30,product(X_30,quotient(A,X_30))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(quotient(A,X_30))),bind(X_16,$fot(X_30))]]) ).

cnf(refute_0_291,plain,
    product(quotient(A,X_30),X_30) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_30))]]) ).

cnf(refute_0_292,plain,
    ( difference(product(product(quotient(A,X_30),X_30),X_30),X_30) != product(X_30,product(X_30,quotient(A,X_30)))
    | product(quotient(A,X_30),X_30) != A
    | difference(product(A,X_30),X_30) = product(X_30,product(X_30,quotient(A,X_30))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(A,X_30),X_30),X_30),X_30),product(X_30,product(X_30,quotient(A,X_30)))) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_293,plain,
    ( difference(product(product(quotient(A,X_30),X_30),X_30),X_30) != product(X_30,product(X_30,quotient(A,X_30)))
    | difference(product(A,X_30),X_30) = product(X_30,product(X_30,quotient(A,X_30))) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_30),X_30),A) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    difference(product(A,X_30),X_30) = product(X_30,product(X_30,quotient(A,X_30))),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(A,X_30),X_30),X_30),X_30),product(X_30,product(X_30,quotient(A,X_30)))) )],[refute_0_290,refute_0_293]) ).

cnf(refute_0_295,plain,
    ( difference(product(A,X_30),X_30) != product(X_30,product(X_30,quotient(A,X_30)))
    | product(X_30,product(X_30,quotient(A,X_30))) = difference(product(A,X_30),X_30) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(A,X_30),X_30))),bind(Y,$fot(product(X_30,product(X_30,quotient(A,X_30)))))]]) ).

cnf(refute_0_296,plain,
    product(X_30,product(X_30,quotient(A,X_30))) = difference(product(A,X_30),X_30),
    inference(resolve,[$cnf( $equal(difference(product(A,X_30),X_30),product(X_30,product(X_30,quotient(A,X_30)))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))) = difference(product(product(c,b),product(a,c)),product(a,c)),
    inference(subst,[],[refute_0_296:[bind(A,$fot(product(c,b))),bind(X_30,$fot(product(a,c)))]]) ).

cnf(refute_0_298,plain,
    ( difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))
    | product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))) != difference(product(product(c,b),product(a,c)),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(product(product(c,b),product(a,c)),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)))),bind(Y,$fot(product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))))),bind(Z,$fot(difference(product(product(c,b),product(a,c)),product(a,c))))]]) ).

cnf(refute_0_299,plain,
    ( product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))) != difference(product(product(c,b),product(a,c)),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(product(product(c,b),product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c))))) )],[refute_0_239,refute_0_298]) ).

cnf(refute_0_300,plain,
    difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(product(product(c,b),product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),quotient(product(c,b),product(a,c)))),difference(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_297,refute_0_299]) ).

cnf(refute_0_301,plain,
    ( difference(product(product(c,b),product(a,c)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != difference(product(product(c,b),product(a,c)),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)))),bind(Y,$fot(difference(product(product(c,b),product(a,c)),product(a,c)))),bind(Z,$fot(difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_302,plain,
    ( difference(product(product(c,b),product(a,c)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),difference(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_300,refute_0_301]) ).

cnf(refute_0_303,plain,
    difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) = difference(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_289,refute_0_302]) ).

cnf(refute_0_304,plain,
    ( difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != product(product(a,c),quotient(product(a,b),product(a,c)))
    | difference(bigC(c,a,b),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),product(product(a,c),quotient(product(a,b),product(a,c)))) ),[0],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_305,plain,
    ( difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)) != product(product(a,c),quotient(product(a,b),product(a,c)))
    | difference(bigC(c,a,b),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    difference(bigC(c,a,b),product(a,c)) = product(product(a,c),quotient(product(a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(c,b),product(a,c)),product(a,c)),product(a,c)),product(a,c)),product(product(a,c),quotient(product(a,b),product(a,c)))) )],[refute_0_281,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( difference(bigC(c,a,b),product(a,c)) != product(product(a,c),quotient(product(a,b),product(a,c)))
    | product(product(a,c),quotient(product(a,b),product(a,c))) = difference(bigC(c,a,b),product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,a,b),product(a,c)))),bind(Y,$fot(product(product(a,c),quotient(product(a,b),product(a,c)))))]]) ).

cnf(refute_0_308,plain,
    product(product(a,c),quotient(product(a,b),product(a,c))) = difference(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),product(product(a,c),quotient(product(a,b),product(a,c)))) )],[refute_0_306,refute_0_307]) ).

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

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

cnf(refute_0_311,plain,
    bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(difference(bigC(c,a,b),product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)),product(product(product(a,c),quotient(product(a,b),product(a,c))),product(a,c))) )],[refute_0_238,refute_0_310]) ).

cnf(refute_0_312,plain,
    product(product(c,c),b) = product(product(c,c),b),
    introduced(tautology,[refl,[$fot(product(product(c,c),b))]]) ).

cnf(refute_0_313,plain,
    ( product(c,c) != c
    | product(product(c,c),b) != product(product(c,c),b)
    | product(product(c,c),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),b),product(product(c,c),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_314,plain,
    ( product(c,c) != c
    | product(product(c,c),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),b),product(product(c,c),b)) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    product(product(c,c),b) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_314]) ).

cnf(refute_0_316,plain,
    product(a,product(product(c,c),b)) = product(a,product(product(c,c),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,c),b)))]]) ).

cnf(refute_0_317,plain,
    ( product(a,product(product(c,c),b)) != product(a,product(product(c,c),b))
    | product(product(c,c),b) != product(c,b)
    | product(a,product(product(c,c),b)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,c),b)),product(a,product(product(c,c),b))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_318,plain,
    ( product(product(c,c),b) != product(c,b)
    | product(a,product(product(c,c),b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,c),b)),product(a,product(product(c,c),b))) )],[refute_0_316,refute_0_317]) ).

cnf(refute_0_319,plain,
    product(a,product(product(c,c),b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),b),product(c,b)) )],[refute_0_315,refute_0_318]) ).

cnf(refute_0_320,plain,
    product(product(X_18,X_18),product(X_18,X_18)) = product(X_18,X_18),
    inference(subst,[],[refute_0_22:[bind(A,$fot(product(X_18,X_18)))]]) ).

cnf(refute_0_321,plain,
    bigC(X_18,X_18,X_18) = product(product(X_18,X_18),product(X_18,X_18)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_18)),bind(B,$fot(X_18)),bind(C,$fot(X_18))]]) ).

cnf(refute_0_322,plain,
    ( bigC(X_18,X_18,X_18) != product(product(X_18,X_18),product(X_18,X_18))
    | product(product(X_18,X_18),product(X_18,X_18)) = bigC(X_18,X_18,X_18) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_18,X_18,X_18))),bind(Y,$fot(product(product(X_18,X_18),product(X_18,X_18))))]]) ).

cnf(refute_0_323,plain,
    product(product(X_18,X_18),product(X_18,X_18)) = bigC(X_18,X_18,X_18),
    inference(resolve,[$cnf( $equal(bigC(X_18,X_18,X_18),product(product(X_18,X_18),product(X_18,X_18))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    ( product(product(X_18,X_18),product(X_18,X_18)) != bigC(X_18,X_18,X_18)
    | product(product(X_18,X_18),product(X_18,X_18)) != product(X_18,X_18)
    | bigC(X_18,X_18,X_18) = product(X_18,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_18,X_18),product(X_18,X_18)),product(X_18,X_18)) ),[0],$fot(bigC(X_18,X_18,X_18))]]) ).

cnf(refute_0_325,plain,
    ( product(product(X_18,X_18),product(X_18,X_18)) != product(X_18,X_18)
    | bigC(X_18,X_18,X_18) = product(X_18,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(X_18,X_18),product(X_18,X_18)),bigC(X_18,X_18,X_18)) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    bigC(X_18,X_18,X_18) = product(X_18,X_18),
    inference(resolve,[$cnf( $equal(product(product(X_18,X_18),product(X_18,X_18)),product(X_18,X_18)) )],[refute_0_320,refute_0_325]) ).

cnf(refute_0_327,plain,
    ( bigC(X_18,X_18,X_18) != product(X_18,X_18)
    | product(X_18,X_18) != X_18
    | bigC(X_18,X_18,X_18) = X_18 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(X_18,X_18,X_18),X_18) ),[0],$fot(product(X_18,X_18))]]) ).

cnf(refute_0_328,plain,
    ( bigC(X_18,X_18,X_18) != product(X_18,X_18)
    | bigC(X_18,X_18,X_18) = X_18 ),
    inference(resolve,[$cnf( $equal(product(X_18,X_18),X_18) )],[refute_0_82,refute_0_327]) ).

cnf(refute_0_329,plain,
    bigC(X_18,X_18,X_18) = X_18,
    inference(resolve,[$cnf( $equal(bigC(X_18,X_18,X_18),product(X_18,X_18)) )],[refute_0_326,refute_0_328]) ).

cnf(refute_0_330,plain,
    bigC(a,a,a) = a,
    inference(subst,[],[refute_0_329:[bind(X_18,$fot(a))]]) ).

cnf(refute_0_331,plain,
    product(bigC(a,a,a),product(product(c,c),b)) = product(bigC(a,a,a),product(product(c,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),product(product(c,c),b)))]]) ).

cnf(refute_0_332,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(product(c,c),b)) != product(bigC(a,a,a),product(product(c,c),b))
    | product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(product(c,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),product(product(c,c),b)),product(bigC(a,a,a),product(product(c,c),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_333,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(product(c,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(product(c,c),b)),product(bigC(a,a,a),product(product(c,c),b))) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(product(c,c),b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_333]) ).

cnf(refute_0_335,plain,
    ( product(a,product(product(c,c),b)) != product(a,product(c,b))
    | product(bigC(a,a,a),product(product(c,c),b)) != product(a,product(product(c,c),b))
    | product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,a),product(product(c,c),b)))),bind(Y,$fot(product(a,product(product(c,c),b)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_336,plain,
    ( product(a,product(product(c,c),b)) != product(a,product(c,b))
    | product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(product(c,c),b)),product(a,product(product(c,c),b))) )],[refute_0_334,refute_0_335]) ).

cnf(refute_0_337,plain,
    product(bigC(a,a,a),product(product(c,c),b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,c),b)),product(a,product(c,b))) )],[refute_0_319,refute_0_336]) ).

cnf(refute_0_338,plain,
    product(product(product(a,a),product(c,c)),product(a,b)) = product(bigC(a,a,a),product(product(c,c),b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(a)),bind(X_25,$fot(product(c,c))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_339,plain,
    bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) = product(product(product(A,C),product(B,D)),X_44),
    inference(subst,[],[refute_0_256:[bind(A,$fot(X_44)),bind(X_17,$fot(product(A,C))),bind(X_18,$fot(product(B,D)))]]) ).

cnf(refute_0_340,plain,
    ( bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) != product(product(product(A,C),product(B,D)),X_44)
    | product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) = product(product(product(A,B),product(C,D)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))),product(product(product(A,C),product(B,D)),X_44)) ),[1,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_341,plain,
    ( bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) != product(product(product(A,C),product(B,D)),X_44)
    | bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) = product(product(product(A,B),product(C,D)),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_340]) ).

cnf(refute_0_342,plain,
    bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) = product(product(product(A,B),product(C,D)),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))),product(product(product(A,C),product(B,D)),X_44)) )],[refute_0_339,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) != product(product(product(A,B),product(C,D)),X_44)
    | bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) != product(product(product(A,C),product(B,D)),X_44)
    | product(product(product(A,C),product(B,D)),X_44) = product(product(product(A,B),product(C,D)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))),product(product(product(A,B),product(C,D)),X_44)) ),[0],$fot(product(product(product(A,C),product(B,D)),X_44))]]) ).

cnf(refute_0_344,plain,
    ( bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))) != product(product(product(A,B),product(C,D)),X_44)
    | product(product(product(A,C),product(B,D)),X_44) = product(product(product(A,B),product(C,D)),X_44) ),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))),product(product(product(A,C),product(B,D)),X_44)) )],[refute_0_339,refute_0_343]) ).

cnf(refute_0_345,plain,
    product(product(product(A,C),product(B,D)),X_44) = product(product(product(A,B),product(C,D)),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),quotient(X_44,product(A,C))),product(product(product(A,B),product(C,D)),X_44)) )],[refute_0_342,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( product(product(product(A,C),product(B,D)),X_44) != product(product(product(A,B),product(C,D)),X_44)
    | product(product(product(A,B),product(C,D)),X_44) = product(product(product(A,C),product(B,D)),X_44) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(A,C),product(B,D)),X_44))),bind(Y,$fot(product(product(product(A,B),product(C,D)),X_44)))]]) ).

cnf(refute_0_347,plain,
    product(product(product(A,B),product(C,D)),X_44) = product(product(product(A,C),product(B,D)),X_44),
    inference(resolve,[$cnf( $equal(product(product(product(A,C),product(B,D)),X_44),product(product(product(A,B),product(C,D)),X_44)) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    product(product(product(a,c),product(a,c)),product(a,b)) = product(product(product(a,a),product(c,c)),product(a,b)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_44,$fot(product(a,b)))]]) ).

cnf(refute_0_349,plain,
    ( product(product(product(a,a),product(c,c)),product(a,b)) != product(bigC(a,a,a),product(product(c,c),b))
    | product(product(product(a,c),product(a,c)),product(a,b)) != product(product(product(a,a),product(c,c)),product(a,b))
    | product(product(product(a,c),product(a,c)),product(a,b)) = product(bigC(a,a,a),product(product(c,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(a,c)),product(a,b)))),bind(Y,$fot(product(product(product(a,a),product(c,c)),product(a,b)))),bind(Z,$fot(product(bigC(a,a,a),product(product(c,c),b))))]]) ).

cnf(refute_0_350,plain,
    ( product(product(product(a,a),product(c,c)),product(a,b)) != product(bigC(a,a,a),product(product(c,c),b))
    | product(product(product(a,c),product(a,c)),product(a,b)) = product(bigC(a,a,a),product(product(c,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,c)),product(a,b)),product(product(product(a,a),product(c,c)),product(a,b))) )],[refute_0_348,refute_0_349]) ).

cnf(refute_0_351,plain,
    product(product(product(a,c),product(a,c)),product(a,b)) = product(bigC(a,a,a),product(product(c,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,c)),product(a,b)),product(bigC(a,a,a),product(product(c,c),b))) )],[refute_0_338,refute_0_350]) ).

cnf(refute_0_352,plain,
    bigC(A,quotient(X_44,A),C) = bigC(A,C,quotient(X_44,A)),
    inference(subst,[],[refute_0_121:[bind(B,$fot(quotient(X_44,A)))]]) ).

cnf(refute_0_353,plain,
    bigC(A,C,quotient(X_44,A)) = product(product(A,C),X_44),
    inference(subst,[],[refute_0_256:[bind(A,$fot(X_44)),bind(X_17,$fot(A)),bind(X_18,$fot(C))]]) ).

cnf(refute_0_354,plain,
    ( bigC(A,C,quotient(X_44,A)) != product(product(A,C),X_44)
    | bigC(A,quotient(X_44,A),C) != bigC(A,C,quotient(X_44,A))
    | bigC(A,quotient(X_44,A),C) = product(product(A,C),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,quotient(X_44,A),C),bigC(A,C,quotient(X_44,A))) ),[1],$fot(product(product(A,C),X_44))]]) ).

cnf(refute_0_355,plain,
    ( bigC(A,quotient(X_44,A),C) != bigC(A,C,quotient(X_44,A))
    | bigC(A,quotient(X_44,A),C) = product(product(A,C),X_44) ),
    inference(resolve,[$cnf( $equal(bigC(A,C,quotient(X_44,A)),product(product(A,C),X_44)) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    bigC(A,quotient(X_44,A),C) = product(product(A,C),X_44),
    inference(resolve,[$cnf( $equal(bigC(A,quotient(X_44,A),C),bigC(A,C,quotient(X_44,A))) )],[refute_0_352,refute_0_355]) ).

cnf(refute_0_357,plain,
    bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(product(product(a,c),product(a,c)),product(a,b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,c))),bind(C,$fot(product(a,c))),bind(X_44,$fot(product(a,b)))]]) ).

cnf(refute_0_358,plain,
    ( bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) != product(product(product(a,c),product(a,c)),product(a,b))
    | product(product(product(a,c),product(a,c)),product(a,b)) != product(bigC(a,a,a),product(product(c,c),b))
    | bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(bigC(a,a,a),product(product(c,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)))),bind(Y,$fot(product(product(product(a,c),product(a,c)),product(a,b)))),bind(Z,$fot(product(bigC(a,a,a),product(product(c,c),b))))]]) ).

cnf(refute_0_359,plain,
    ( product(product(product(a,c),product(a,c)),product(a,b)) != product(bigC(a,a,a),product(product(c,c),b))
    | bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(bigC(a,a,a),product(product(c,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)),product(product(product(a,c),product(a,c)),product(a,b))) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(bigC(a,a,a),product(product(c,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,c)),product(a,b)),product(bigC(a,a,a),product(product(c,c),b))) )],[refute_0_351,refute_0_359]) ).

cnf(refute_0_361,plain,
    ( bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) != product(bigC(a,a,a),product(product(c,c),b))
    | product(bigC(a,a,a),product(product(c,c),b)) != product(a,product(c,b))
    | bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)))),bind(Y,$fot(product(bigC(a,a,a),product(product(c,c),b)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_362,plain,
    ( product(bigC(a,a,a),product(product(c,c),b)) != product(a,product(c,b))
    | bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)),product(bigC(a,a,a),product(product(c,c),b))) )],[refute_0_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(product(c,c),b)),product(a,product(c,b))) )],[refute_0_337,refute_0_362]) ).

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

cnf(refute_0_365,plain,
    ( bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)) != product(difference(bigC(c,a,b),product(a,c)),product(a,c))
    | product(a,product(c,b)) = product(difference(bigC(c,a,b),product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    product(a,product(c,b)) = product(difference(bigC(c,a,b),product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(a,b),product(a,c)),product(a,c)),product(difference(bigC(c,a,b),product(a,c)),product(a,c))) )],[refute_0_311,refute_0_365]) ).

cnf(refute_0_367,plain,
    ( product(a,product(c,b)) != product(difference(bigC(c,a,b),product(a,c)),product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(difference(bigC(c,a,b),product(a,c)),product(a,c))))]]) ).

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

cnf(refute_0_369,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,c),product(difference(bigC(c,a,b),product(a,c)),product(a,c)))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) != product(a,product(c,b))
    | bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(difference(bigC(c,a,b),product(a,c)),product(a,c)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_370,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,c),product(difference(bigC(c,a,b),product(a,c)),product(a,c)))
    | bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(difference(bigC(c,a,b),product(a,c)),product(a,c)))) )],[refute_0_237,refute_0_370]) ).

cnf(refute_0_372,plain,
    product(X_65,product(product(X_19,X_65),X_67)) = product(product(X_65,product(X_19,X_65)),product(X_65,X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(X_65)),bind(X_25,$fot(product(X_19,X_65))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_373,plain,
    bigC(X_65,X_65,X_19) = product(X_65,product(X_19,X_65)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(X_65))]]) ).

cnf(refute_0_374,plain,
    ( bigC(X_65,X_65,X_19) != product(X_65,product(X_19,X_65))
    | product(X_65,product(X_19,X_65)) = bigC(X_65,X_65,X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_65,X_65,X_19))),bind(Y,$fot(product(X_65,product(X_19,X_65))))]]) ).

cnf(refute_0_375,plain,
    product(X_65,product(X_19,X_65)) = bigC(X_65,X_65,X_19),
    inference(resolve,[$cnf( $equal(bigC(X_65,X_65,X_19),product(X_65,product(X_19,X_65))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    ( product(X_65,product(X_19,X_65)) != bigC(X_65,X_65,X_19)
    | product(X_65,product(product(X_19,X_65),X_67)) != product(product(X_65,product(X_19,X_65)),product(X_65,X_67))
    | product(X_65,product(product(X_19,X_65),X_67)) = product(bigC(X_65,X_65,X_19),product(X_65,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_65,product(product(X_19,X_65),X_67)),product(product(X_65,product(X_19,X_65)),product(X_65,X_67))) ),[1,0],$fot(bigC(X_65,X_65,X_19))]]) ).

cnf(refute_0_377,plain,
    ( product(X_65,product(product(X_19,X_65),X_67)) != product(product(X_65,product(X_19,X_65)),product(X_65,X_67))
    | product(X_65,product(product(X_19,X_65),X_67)) = product(bigC(X_65,X_65,X_19),product(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_19,X_65)),bigC(X_65,X_65,X_19)) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    product(X_65,product(product(X_19,X_65),X_67)) = product(bigC(X_65,X_65,X_19),product(X_65,X_67)),
    inference(resolve,[$cnf( $equal(product(X_65,product(product(X_19,X_65),X_67)),product(product(X_65,product(X_19,X_65)),product(X_65,X_67))) )],[refute_0_372,refute_0_377]) ).

cnf(refute_0_379,plain,
    ( product(X_65,product(product(X_19,X_65),X_67)) != product(bigC(X_65,X_65,X_19),product(X_65,X_67))
    | product(bigC(X_65,X_65,X_19),product(X_65,X_67)) = product(X_65,product(product(X_19,X_65),X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_65,product(product(X_19,X_65),X_67)))),bind(Y,$fot(product(bigC(X_65,X_65,X_19),product(X_65,X_67))))]]) ).

cnf(refute_0_380,plain,
    product(bigC(X_65,X_65,X_19),product(X_65,X_67)) = product(X_65,product(product(X_19,X_65),X_67)),
    inference(resolve,[$cnf( $equal(product(X_65,product(product(X_19,X_65),X_67)),product(bigC(X_65,X_65,X_19),product(X_65,X_67))) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    product(bigC(a,a,c),product(a,b)) = product(a,product(product(c,a),b)),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(c)),bind(X_65,$fot(a)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_382,plain,
    product(product(A,B),product(product(C,A),X_67)) = product(product(product(A,B),product(C,A)),product(product(A,B),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(A,B))),bind(X_25,$fot(product(C,A))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_383,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(A,B),product(product(C,A),X_67)) != product(product(product(A,B),product(C,A)),product(product(A,B),X_67))
    | product(product(A,B),product(product(C,A),X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(product(C,A),X_67)),product(product(product(A,B),product(C,A)),product(product(A,B),X_67))) ),[1,0],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_384,plain,
    ( product(product(A,B),product(product(C,A),X_67)) != product(product(product(A,B),product(C,A)),product(product(A,B),X_67))
    | product(product(A,B),product(product(C,A),X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_383]) ).

cnf(refute_0_385,plain,
    product(product(A,B),product(product(C,A),X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(product(C,A),X_67)),product(product(product(A,B),product(C,A)),product(product(A,B),X_67))) )],[refute_0_382,refute_0_384]) ).

cnf(refute_0_386,plain,
    product(product(A,B),product(product(X_36,A),D)) = product(product(A,product(X_36,A)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(C,$fot(product(X_36,A)))]]) ).

cnf(refute_0_387,plain,
    bigC(A,A,X_36) = product(A,product(X_36,A)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(A)),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_388,plain,
    ( bigC(A,A,X_36) != product(A,product(X_36,A))
    | product(A,product(X_36,A)) = bigC(A,A,X_36) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,A,X_36))),bind(Y,$fot(product(A,product(X_36,A))))]]) ).

cnf(refute_0_389,plain,
    product(A,product(X_36,A)) = bigC(A,A,X_36),
    inference(resolve,[$cnf( $equal(bigC(A,A,X_36),product(A,product(X_36,A))) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    ( product(A,product(X_36,A)) != bigC(A,A,X_36)
    | product(product(A,B),product(product(X_36,A),D)) != product(product(A,product(X_36,A)),product(B,D))
    | product(product(A,B),product(product(X_36,A),D)) = product(bigC(A,A,X_36),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(product(X_36,A),D)),product(product(A,product(X_36,A)),product(B,D))) ),[1,0],$fot(bigC(A,A,X_36))]]) ).

cnf(refute_0_391,plain,
    ( product(product(A,B),product(product(X_36,A),D)) != product(product(A,product(X_36,A)),product(B,D))
    | product(product(A,B),product(product(X_36,A),D)) = product(bigC(A,A,X_36),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(A,product(X_36,A)),bigC(A,A,X_36)) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    product(product(A,B),product(product(X_36,A),D)) = product(bigC(A,A,X_36),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(product(X_36,A),D)),product(product(A,product(X_36,A)),product(B,D))) )],[refute_0_386,refute_0_391]) ).

cnf(refute_0_393,plain,
    product(product(A,B),product(product(C,A),X_67)) = product(bigC(A,A,C),product(B,X_67)),
    inference(subst,[],[refute_0_392:[bind(D,$fot(X_67)),bind(X_36,$fot(C))]]) ).

cnf(refute_0_394,plain,
    ( product(product(A,B),product(product(C,A),X_67)) != product(bigC(A,A,C),product(B,X_67))
    | product(product(A,B),product(product(C,A),X_67)) != product(bigC(A,B,C),product(product(A,B),X_67))
    | product(bigC(A,A,C),product(B,X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(product(C,A),X_67)),product(bigC(A,B,C),product(product(A,B),X_67))) ),[0],$fot(product(bigC(A,A,C),product(B,X_67)))]]) ).

cnf(refute_0_395,plain,
    ( product(product(A,B),product(product(C,A),X_67)) != product(bigC(A,B,C),product(product(A,B),X_67))
    | product(bigC(A,A,C),product(B,X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(product(C,A),X_67)),product(bigC(A,A,C),product(B,X_67))) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    product(bigC(A,A,C),product(B,X_67)) = product(bigC(A,B,C),product(product(A,B),X_67)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(product(C,A),X_67)),product(bigC(A,B,C),product(product(A,B),X_67))) )],[refute_0_385,refute_0_395]) ).

cnf(refute_0_397,plain,
    ( product(bigC(A,A,C),product(B,X_67)) != product(bigC(A,B,C),product(product(A,B),X_67))
    | product(bigC(A,B,C),product(product(A,B),X_67)) = product(bigC(A,A,C),product(B,X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(A,A,C),product(B,X_67)))),bind(Y,$fot(product(bigC(A,B,C),product(product(A,B),X_67))))]]) ).

cnf(refute_0_398,plain,
    product(bigC(A,B,C),product(product(A,B),X_67)) = product(bigC(A,A,C),product(B,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(A,A,C),product(B,X_67)),product(bigC(A,B,C),product(product(A,B),X_67))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    product(bigC(a,a,c),product(product(a,a),b)) = product(bigC(a,a,c),product(a,b)),
    inference(subst,[],[refute_0_398:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_400,plain,
    ( product(bigC(a,a,c),product(a,b)) != product(a,product(product(c,a),b))
    | product(bigC(a,a,c),product(product(a,a),b)) != product(bigC(a,a,c),product(a,b))
    | product(bigC(a,a,c),product(product(a,a),b)) = product(a,product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(product(a,a),b)))),bind(Y,$fot(product(bigC(a,a,c),product(a,b)))),bind(Z,$fot(product(a,product(product(c,a),b))))]]) ).

cnf(refute_0_401,plain,
    ( product(bigC(a,a,c),product(a,b)) != product(a,product(product(c,a),b))
    | product(bigC(a,a,c),product(product(a,a),b)) = product(a,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(a,a),b)),product(bigC(a,a,c),product(a,b))) )],[refute_0_399,refute_0_400]) ).

cnf(refute_0_402,plain,
    product(bigC(a,a,c),product(product(a,a),b)) = product(a,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,b)),product(a,product(product(c,a),b))) )],[refute_0_381,refute_0_401]) ).

cnf(refute_0_403,plain,
    product(product(a,c),product(X_66,product(c,b))) = product(product(product(a,c),X_66),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,c))),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_404,plain,
    ( product(product(a,c),product(X_66,product(c,b))) != product(product(product(a,c),X_66),product(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,c),product(X_66,product(c,b))) = product(product(product(a,c),X_66),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(X_66,product(c,b))),product(product(product(a,c),X_66),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_405,plain,
    ( product(product(a,c),product(X_66,product(c,b))) != product(product(product(a,c),X_66),product(product(a,c),product(c,b)))
    | product(product(a,c),product(X_66,product(c,b))) = product(product(product(a,c),X_66),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_404]) ).

cnf(refute_0_406,plain,
    product(product(a,c),product(X_66,product(c,b))) = product(product(product(a,c),X_66),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,product(c,b))),product(product(product(a,c),X_66),product(product(a,c),product(c,b)))) )],[refute_0_403,refute_0_405]) ).

cnf(refute_0_407,plain,
    bigC(a,c,a) = bigC(a,a,c),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_408,plain,
    product(bigC(a,c,a),product(X_66,b)) = product(bigC(a,c,a),product(X_66,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(X_66,b)))]]) ).

cnf(refute_0_409,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(X_66,b)) != product(bigC(a,c,a),product(X_66,b))
    | product(bigC(a,c,a),product(X_66,b)) = product(bigC(a,a,c),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(X_66,b)),product(bigC(a,c,a),product(X_66,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_410,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(X_66,b)) = product(bigC(a,a,c),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(X_66,b)),product(bigC(a,c,a),product(X_66,b))) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    product(bigC(a,c,a),product(X_66,b)) = product(bigC(a,a,c),product(X_66,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_407,refute_0_410]) ).

cnf(refute_0_412,plain,
    product(product(product(a,c),X_66),product(a,b)) = product(bigC(a,c,a),product(X_66,b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(X_66)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_413,plain,
    ( product(bigC(a,c,a),product(X_66,b)) != product(bigC(a,a,c),product(X_66,b))
    | product(product(product(a,c),X_66),product(a,b)) != product(bigC(a,c,a),product(X_66,b))
    | product(product(product(a,c),X_66),product(a,b)) = product(bigC(a,a,c),product(X_66,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),X_66),product(a,b)))),bind(Y,$fot(product(bigC(a,c,a),product(X_66,b)))),bind(Z,$fot(product(bigC(a,a,c),product(X_66,b))))]]) ).

cnf(refute_0_414,plain,
    ( product(bigC(a,c,a),product(X_66,b)) != product(bigC(a,a,c),product(X_66,b))
    | product(product(product(a,c),X_66),product(a,b)) = product(bigC(a,a,c),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_66),product(a,b)),product(bigC(a,c,a),product(X_66,b))) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    product(product(product(a,c),X_66),product(a,b)) = product(bigC(a,a,c),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(X_66,b)),product(bigC(a,a,c),product(X_66,b))) )],[refute_0_411,refute_0_414]) ).

cnf(refute_0_416,plain,
    ( product(product(a,c),product(X_66,product(c,b))) != product(product(product(a,c),X_66),product(a,b))
    | product(product(product(a,c),X_66),product(a,b)) != product(bigC(a,a,c),product(X_66,b))
    | product(product(a,c),product(X_66,product(c,b))) = product(bigC(a,a,c),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),product(X_66,product(c,b))),product(bigC(a,a,c),product(X_66,b))) ),[0],$fot(product(product(product(a,c),X_66),product(a,b)))]]) ).

cnf(refute_0_417,plain,
    ( product(product(a,c),product(X_66,product(c,b))) != product(product(product(a,c),X_66),product(a,b))
    | product(product(a,c),product(X_66,product(c,b))) = product(bigC(a,a,c),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_66),product(a,b)),product(bigC(a,a,c),product(X_66,b))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    product(product(a,c),product(X_66,product(c,b))) = product(bigC(a,a,c),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,product(c,b))),product(product(product(a,c),X_66),product(a,b))) )],[refute_0_406,refute_0_417]) ).

cnf(refute_0_419,plain,
    product(product(a,c),product(product(a,a),product(c,b))) = product(bigC(a,a,c),product(product(a,a),b)),
    inference(subst,[],[refute_0_418:[bind(X_66,$fot(product(a,a)))]]) ).

cnf(refute_0_420,plain,
    ( product(bigC(a,a,c),product(product(a,a),b)) != product(a,product(product(c,a),b))
    | product(product(a,c),product(product(a,a),product(c,b))) != product(bigC(a,a,c),product(product(a,a),b))
    | product(product(a,c),product(product(a,a),product(c,b))) = product(a,product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(a,a),product(c,b))))),bind(Y,$fot(product(bigC(a,a,c),product(product(a,a),b)))),bind(Z,$fot(product(a,product(product(c,a),b))))]]) ).

cnf(refute_0_421,plain,
    ( product(bigC(a,a,c),product(product(a,a),b)) != product(a,product(product(c,a),b))
    | product(product(a,c),product(product(a,a),product(c,b))) = product(a,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,a),product(c,b))),product(bigC(a,a,c),product(product(a,a),b))) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    product(product(a,c),product(product(a,a),product(c,b))) = product(a,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(a,a),b)),product(a,product(product(c,a),b))) )],[refute_0_402,refute_0_421]) ).

cnf(refute_0_423,plain,
    product(X_65,product(product(A,C),product(B,D))) = product(product(X_65,product(A,C)),product(X_65,product(B,D))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(X_65)),bind(X_25,$fot(product(A,C))),bind(X_26,$fot(product(B,D)))]]) ).

cnf(refute_0_424,plain,
    ( product(X_65,product(product(A,C),product(B,D))) != product(product(X_65,product(A,C)),product(X_65,product(B,D)))
    | product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | product(X_65,product(product(A,B),product(C,D))) = product(product(X_65,product(A,C)),product(X_65,product(B,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_65,product(product(A,C),product(B,D))),product(product(X_65,product(A,C)),product(X_65,product(B,D)))) ),[0,1],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_425,plain,
    ( product(X_65,product(product(A,C),product(B,D))) != product(product(X_65,product(A,C)),product(X_65,product(B,D)))
    | product(X_65,product(product(A,B),product(C,D))) = product(product(X_65,product(A,C)),product(X_65,product(B,D))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_424]) ).

cnf(refute_0_426,plain,
    product(X_65,product(product(A,B),product(C,D))) = product(product(X_65,product(A,C)),product(X_65,product(B,D))),
    inference(resolve,[$cnf( $equal(product(X_65,product(product(A,C),product(B,D))),product(product(X_65,product(A,C)),product(X_65,product(B,D)))) )],[refute_0_423,refute_0_425]) ).

cnf(refute_0_427,plain,
    ( product(X_24,product(X_25,X_26)) != product(product(X_24,X_25),product(X_24,X_26))
    | product(product(X_24,X_25),product(X_24,X_26)) = product(X_24,product(X_25,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_24,product(X_25,X_26)))),bind(Y,$fot(product(product(X_24,X_25),product(X_24,X_26))))]]) ).

cnf(refute_0_428,plain,
    product(product(X_24,X_25),product(X_24,X_26)) = product(X_24,product(X_25,X_26)),
    inference(resolve,[$cnf( $equal(product(X_24,product(X_25,X_26)),product(product(X_24,X_25),product(X_24,X_26))) )],[refute_0_225,refute_0_427]) ).

cnf(refute_0_429,plain,
    product(product(X_65,product(A,C)),product(X_65,product(B,D))) = product(X_65,product(product(A,C),product(B,D))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_65)),bind(X_25,$fot(product(A,C))),bind(X_26,$fot(product(B,D)))]]) ).

cnf(refute_0_430,plain,
    ( product(X_65,product(product(A,B),product(C,D))) != product(product(X_65,product(A,C)),product(X_65,product(B,D)))
    | product(product(X_65,product(A,C)),product(X_65,product(B,D))) != product(X_65,product(product(A,C),product(B,D)))
    | product(X_65,product(product(A,B),product(C,D))) = product(X_65,product(product(A,C),product(B,D))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(X_65,product(product(A,B),product(C,D))),product(X_65,product(product(A,C),product(B,D)))) ),[0],$fot(product(product(X_65,product(A,C)),product(X_65,product(B,D))))]]) ).

cnf(refute_0_431,plain,
    ( product(X_65,product(product(A,B),product(C,D))) != product(product(X_65,product(A,C)),product(X_65,product(B,D)))
    | product(X_65,product(product(A,B),product(C,D))) = product(X_65,product(product(A,C),product(B,D))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,product(A,C)),product(X_65,product(B,D))),product(X_65,product(product(A,C),product(B,D)))) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    product(X_65,product(product(A,B),product(C,D))) = product(X_65,product(product(A,C),product(B,D))),
    inference(resolve,[$cnf( $equal(product(X_65,product(product(A,B),product(C,D))),product(product(X_65,product(A,C)),product(X_65,product(B,D)))) )],[refute_0_426,refute_0_431]) ).

cnf(refute_0_433,plain,
    ( product(X_65,product(product(A,B),product(C,D))) != product(X_65,product(product(A,C),product(B,D)))
    | product(X_65,product(product(A,C),product(B,D))) = product(X_65,product(product(A,B),product(C,D))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_65,product(product(A,B),product(C,D))))),bind(Y,$fot(product(X_65,product(product(A,C),product(B,D)))))]]) ).

cnf(refute_0_434,plain,
    product(X_65,product(product(A,C),product(B,D))) = product(X_65,product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(product(X_65,product(product(A,B),product(C,D))),product(X_65,product(product(A,C),product(B,D)))) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    product(product(a,c),product(product(a,c),product(a,b))) = product(product(a,c),product(product(a,a),product(c,b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_65,$fot(product(a,c)))]]) ).

cnf(refute_0_436,plain,
    ( product(product(a,c),product(product(a,a),product(c,b))) != product(a,product(product(c,a),b))
    | product(product(a,c),product(product(a,c),product(a,b))) != product(product(a,c),product(product(a,a),product(c,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(a,c),product(product(a,a),product(c,b))))),bind(Z,$fot(product(a,product(product(c,a),b))))]]) ).

cnf(refute_0_437,plain,
    ( product(product(a,c),product(product(a,a),product(c,b))) != product(a,product(product(c,a),b))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(product(a,c),product(product(a,a),product(c,b)))) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,a),product(c,b))),product(a,product(product(c,a),b))) )],[refute_0_422,refute_0_437]) ).

cnf(refute_0_439,plain,
    bigC(product(a,c),X_18,quotient(product(a,product(c,b)),product(a,c))) = product(product(product(a,c),X_18),product(a,product(c,b))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(a,product(c,b)))),bind(X_17,$fot(product(a,c)))]]) ).

cnf(refute_0_440,plain,
    quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_66)) = product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(X_65,X_66))),bind(X_44,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_441,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_66)) != product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))
    | quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)) = product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_66)),product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))) ),[0,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_442,plain,
    ( quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_66)) != product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))
    | quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)) = product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_441]) ).

cnf(refute_0_443,plain,
    quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)) = product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_66)),product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_440,refute_0_442]) ).

cnf(refute_0_444,plain,
    ( quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)) != product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))
    | product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))) = quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)))),bind(Y,$fot(product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))))]]) ).

cnf(refute_0_445,plain,
    product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66))) = quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,product(X_66,X_67)),product(X_65,X_66)),product(product(X_65,X_66),quotient(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_443,refute_0_444]) ).

cnf(refute_0_446,plain,
    product(product(a,c),quotient(product(a,b),product(a,c))) = quotient(product(a,product(c,b)),product(a,c)),
    inference(subst,[],[refute_0_445:[bind(X_65,$fot(a)),bind(X_66,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_447,plain,
    ( difference(bigC(c,a,b),product(a,c)) != product(product(a,c),quotient(product(a,b),product(a,c)))
    | product(product(a,c),quotient(product(a,b),product(a,c))) != quotient(product(a,product(c,b)),product(a,c))
    | difference(bigC(c,a,b),product(a,c)) = quotient(product(a,product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,a,b),product(a,c)),quotient(product(a,product(c,b)),product(a,c))) ),[0],$fot(product(product(a,c),quotient(product(a,b),product(a,c))))]]) ).

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

cnf(refute_0_449,plain,
    difference(bigC(c,a,b),product(a,c)) = quotient(product(a,product(c,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),product(product(a,c),quotient(product(a,b),product(a,c)))) )],[refute_0_306,refute_0_448]) ).

cnf(refute_0_450,plain,
    ( difference(bigC(c,a,b),product(a,c)) != quotient(product(a,product(c,b)),product(a,c))
    | quotient(product(a,product(c,b)),product(a,c)) = difference(bigC(c,a,b),product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,a,b),product(a,c)))),bind(Y,$fot(quotient(product(a,product(c,b)),product(a,c))))]]) ).

cnf(refute_0_451,plain,
    quotient(product(a,product(c,b)),product(a,c)) = difference(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),quotient(product(a,product(c,b)),product(a,c))) )],[refute_0_449,refute_0_450]) ).

cnf(refute_0_452,plain,
    ( bigC(product(a,c),X_18,quotient(product(a,product(c,b)),product(a,c))) != product(product(product(a,c),X_18),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_18),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),X_18,quotient(product(a,product(c,b)),product(a,c))),product(product(product(a,c),X_18),product(a,product(c,b)))) ),[0,2],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_453,plain,
    ( bigC(product(a,c),X_18,quotient(product(a,product(c,b)),product(a,c))) != product(product(product(a,c),X_18),product(a,product(c,b)))
    | bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_18),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_451,refute_0_452]) ).

cnf(refute_0_454,plain,
    bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_18),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_18,quotient(product(a,product(c,b)),product(a,c))),product(product(product(a,c),X_18),product(a,product(c,b)))) )],[refute_0_439,refute_0_453]) ).

cnf(refute_0_455,plain,
    product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(product(product(X_65,X_66),X_25),product(product(X_65,X_66),product(X_65,X_67))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(X_65,X_66))),bind(X_26,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_456,plain,
    ( product(product(X_65,X_66),product(X_25,product(X_65,X_67))) != product(product(product(X_65,X_66),X_25),product(product(X_65,X_66),product(X_65,X_67)))
    | product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_65,X_66),product(X_25,product(X_65,X_67))),product(product(product(X_65,X_66),X_25),product(product(X_65,X_66),product(X_65,X_67)))) ),[1,1],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_457,plain,
    ( product(product(X_65,X_66),product(X_25,product(X_65,X_67))) != product(product(product(X_65,X_66),X_25),product(product(X_65,X_66),product(X_65,X_67)))
    | product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_456]) ).

cnf(refute_0_458,plain,
    product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_25,product(X_65,X_67))),product(product(product(X_65,X_66),X_25),product(product(X_65,X_66),product(X_65,X_67)))) )],[refute_0_455,refute_0_457]) ).

cnf(refute_0_459,plain,
    product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))) = product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_66)),bind(X_24,$fot(X_65)),bind(X_26,$fot(product(X_66,X_67)))]]) ).

cnf(refute_0_460,plain,
    ( product(product(X_65,X_66),product(X_25,product(X_65,X_67))) != product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67)))
    | product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))) != product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))
    | product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_65,X_66),product(X_25,product(X_65,X_67))),product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))) ),[0],$fot(product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))))]]) ).

cnf(refute_0_461,plain,
    ( product(product(X_65,X_66),product(X_25,product(X_65,X_67))) != product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67)))
    | product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67))),product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    product(product(X_65,X_66),product(X_25,product(X_65,X_67))) = product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_25,product(X_65,X_67))),product(product(product(X_65,X_66),X_25),product(X_65,product(X_66,X_67)))) )],[refute_0_458,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( product(product(X_65,X_66),product(X_25,product(X_65,X_67))) != product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))
    | product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))) = product(product(X_65,X_66),product(X_25,product(X_65,X_67))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_65,X_66),product(X_25,product(X_65,X_67))))),bind(Y,$fot(product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))))]]) ).

cnf(refute_0_464,plain,
    product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67))) = product(product(X_65,X_66),product(X_25,product(X_65,X_67))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_25,product(X_65,X_67))),product(bigC(X_65,X_66,X_65),product(X_25,product(X_66,X_67)))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    product(bigC(a,c,a),product(X_18,product(c,b))) = product(product(a,c),product(X_18,product(a,b))),
    inference(subst,[],[refute_0_464:[bind(X_25,$fot(X_18)),bind(X_65,$fot(a)),bind(X_66,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_466,plain,
    product(product(product(a,c),X_18),product(a,product(c,b))) = product(bigC(a,c,a),product(X_18,product(c,b))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(X_18)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_467,plain,
    ( product(bigC(a,c,a),product(X_18,product(c,b))) != product(product(a,c),product(X_18,product(a,b)))
    | product(product(product(a,c),X_18),product(a,product(c,b))) != product(bigC(a,c,a),product(X_18,product(c,b)))
    | product(product(product(a,c),X_18),product(a,product(c,b))) = product(product(a,c),product(X_18,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),X_18),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,c,a),product(X_18,product(c,b))))),bind(Z,$fot(product(product(a,c),product(X_18,product(a,b)))))]]) ).

cnf(refute_0_468,plain,
    ( product(bigC(a,c,a),product(X_18,product(c,b))) != product(product(a,c),product(X_18,product(a,b)))
    | product(product(product(a,c),X_18),product(a,product(c,b))) = product(product(a,c),product(X_18,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_18),product(a,product(c,b))),product(bigC(a,c,a),product(X_18,product(c,b)))) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    product(product(product(a,c),X_18),product(a,product(c,b))) = product(product(a,c),product(X_18,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(X_18,product(c,b))),product(product(a,c),product(X_18,product(a,b)))) )],[refute_0_465,refute_0_468]) ).

cnf(refute_0_470,plain,
    ( bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) != product(product(product(a,c),X_18),product(a,product(c,b)))
    | product(product(product(a,c),X_18),product(a,product(c,b))) != product(product(a,c),product(X_18,product(a,b)))
    | bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(X_18,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(X_18,product(a,b)))) ),[0],$fot(product(product(product(a,c),X_18),product(a,product(c,b))))]]) ).

cnf(refute_0_471,plain,
    ( bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) != product(product(product(a,c),X_18),product(a,product(c,b)))
    | bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(X_18,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_18),product(a,product(c,b))),product(product(a,c),product(X_18,product(a,b)))) )],[refute_0_469,refute_0_470]) ).

cnf(refute_0_472,plain,
    bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(X_18,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_18,difference(bigC(c,a,b),product(a,c))),product(product(product(a,c),X_18),product(a,product(c,b)))) )],[refute_0_454,refute_0_471]) ).

cnf(refute_0_473,plain,
    bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,c),product(product(a,c),product(a,b))),
    inference(subst,[],[refute_0_472:[bind(X_18,$fot(product(a,c)))]]) ).

cnf(refute_0_474,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),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(product(c,a),b))
    | bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(a,product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(product(a,c),product(product(a,c),product(a,b))))),bind(Z,$fot(product(a,product(product(c,a),b))))]]) ).

cnf(refute_0_475,plain,
    ( product(product(a,c),product(product(a,c),product(a,b))) != product(a,product(product(c,a),b))
    | bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(a,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(product(a,c),product(a,b)))) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(a,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(a,product(product(c,a),b))) )],[refute_0_438,refute_0_475]) ).

cnf(refute_0_477,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(a,product(product(c,a),b))
    | bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,c),product(a,product(c,b)))
    | product(a,product(product(c,a),b)) = product(product(a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(a,product(c,b)))) ),[0],$fot(product(a,product(product(c,a),b)))]]) ).

cnf(refute_0_478,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,c),product(a,product(c,b)))
    | product(a,product(product(c,a),b)) = product(product(a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(a,product(product(c,a),b))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    product(a,a) = a,
    inference(subst,[],[refute_0_22:[bind(A,$fot(a))]]) ).

cnf(refute_0_480,plain,
    product(product(a,a),product(c,product(c,b))) = product(product(a,a),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(c,product(c,b))))]]) ).

cnf(refute_0_481,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,product(c,b))) != product(product(a,a),product(c,product(c,b)))
    | product(product(a,a),product(c,product(c,b))) = product(a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(c,product(c,b))),product(product(a,a),product(c,product(c,b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_482,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,product(c,b))) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(c,b))),product(product(a,a),product(c,product(c,b)))) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    product(product(a,a),product(c,product(c,b))) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_482]) ).

cnf(refute_0_484,plain,
    product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(a)),bind(C,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_485,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,[],[refute_0_11:[bind(A,$fot(X_15)),bind(B,$fot(difference(X_15,B)))]]) ).

cnf(refute_0_486,plain,
    product(X_15,difference(X_15,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_487,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_488,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_486,refute_0_487]) ).

cnf(refute_0_489,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_485,refute_0_488]) ).

cnf(refute_0_490,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))),
    inference(subst,[],[refute_0_489:[bind(B,$fot(product(a,product(product(b,c),c)))),bind(X_15,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_491,plain,
    difference(quotient(X_11,B),product(quotient(X_11,B),B)) = B,
    inference(subst,[],[refute_0_9:[bind(A,$fot(quotient(X_11,B)))]]) ).

cnf(refute_0_492,plain,
    product(quotient(X_11,B),B) = X_11,
    inference(subst,[],[refute_0_52:[bind(A,$fot(X_11))]]) ).

cnf(refute_0_493,plain,
    ( difference(quotient(X_11,B),product(quotient(X_11,B),B)) != B
    | product(quotient(X_11,B),B) != X_11
    | difference(quotient(X_11,B),X_11) = B ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(X_11,B),product(quotient(X_11,B),B)),B) ),[0,1],$fot(X_11)]]) ).

cnf(refute_0_494,plain,
    ( difference(quotient(X_11,B),product(quotient(X_11,B),B)) != B
    | difference(quotient(X_11,B),X_11) = B ),
    inference(resolve,[$cnf( $equal(product(quotient(X_11,B),B),X_11) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    difference(quotient(X_11,B),X_11) = B,
    inference(resolve,[$cnf( $equal(difference(quotient(X_11,B),product(quotient(X_11,B),B)),B) )],[refute_0_491,refute_0_494]) ).

cnf(refute_0_496,plain,
    difference(quotient(bigC(B,B,X_41),B),bigC(B,B,X_41)) = B,
    inference(subst,[],[refute_0_495:[bind(X_11,$fot(bigC(B,B,X_41)))]]) ).

cnf(refute_0_497,plain,
    quotient(bigC(B,B,X_41),B) = product(B,X_41),
    inference(subst,[],[refute_0_250:[bind(X_22,$fot(X_41))]]) ).

cnf(refute_0_498,plain,
    ( difference(quotient(bigC(B,B,X_41),B),bigC(B,B,X_41)) != B
    | quotient(bigC(B,B,X_41),B) != product(B,X_41)
    | difference(product(B,X_41),bigC(B,B,X_41)) = B ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(B,B,X_41),B),bigC(B,B,X_41)),B) ),[0,0],$fot(product(B,X_41))]]) ).

cnf(refute_0_499,plain,
    ( difference(quotient(bigC(B,B,X_41),B),bigC(B,B,X_41)) != B
    | difference(product(B,X_41),bigC(B,B,X_41)) = B ),
    inference(resolve,[$cnf( $equal(quotient(bigC(B,B,X_41),B),product(B,X_41)) )],[refute_0_497,refute_0_498]) ).

cnf(refute_0_500,plain,
    difference(product(B,X_41),bigC(B,B,X_41)) = B,
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(B,B,X_41),B),bigC(B,B,X_41)),B) )],[refute_0_496,refute_0_499]) ).

cnf(refute_0_501,plain,
    difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),product(a,c),bigC(c,a,b))) = product(a,c),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(a,c))),bind(X_41,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_502,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(product(product(a,c),product(c,b)),product(a,c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,c))),bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_503,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(product(a,c),product(c,b)),product(a,c))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(a,c),product(c,b),product(a,c)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(product(a,c),product(c,b)),product(a,c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_504,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(product(a,c),product(c,b)),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(c,b)),product(a,b)) )],[refute_0_103,refute_0_503]) ).

cnf(refute_0_505,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(product(a,c),product(c,b)),product(a,c))) )],[refute_0_502,refute_0_504]) ).

cnf(refute_0_506,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_507,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_508,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_506,refute_0_507]) ).

cnf(refute_0_509,plain,
    product(product(a,a),product(b,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_508]) ).

cnf(refute_0_510,plain,
    product(product(a,b),product(a,c)) = product(product(a,a),product(b,c)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_511,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_32:[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_512,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_510,refute_0_511]) ).

cnf(refute_0_513,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_509,refute_0_512]) ).

cnf(refute_0_514,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_515,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_513,refute_0_514]) ).

cnf(refute_0_516,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_505,refute_0_515]) ).

cnf(refute_0_517,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_123:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_518,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_519,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_517,refute_0_518]) ).

cnf(refute_0_520,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_516,refute_0_519]) ).

cnf(refute_0_521,plain,
    product(product(a,c),bigC(c,b,a)) = product(product(a,c),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,c),bigC(c,b,a)))]]) ).

cnf(refute_0_522,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(a,c),bigC(c,b,a)) != product(product(a,c),bigC(c,b,a))
    | product(product(a,c),bigC(c,b,a)) = product(product(a,c),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(c,b,a)),product(product(a,c),bigC(c,b,a))) ),[1,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_523,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(a,c),bigC(c,b,a)) = product(product(a,c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,b,a)),product(product(a,c),bigC(c,b,a))) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    product(product(a,c),bigC(c,b,a)) = product(product(a,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_124,refute_0_523]) ).

cnf(refute_0_525,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_85:[bind(X_18,$fot(product(C,A))),bind(X_19,$fot(product(A,B)))]]) ).

cnf(refute_0_526,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_527,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_117,refute_0_526]) ).

cnf(refute_0_528,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_525,refute_0_527]) ).

cnf(refute_0_529,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_85:[bind(X_18,$fot(product(B,D))),bind(X_19,$fot(product(A,C)))]]) ).

cnf(refute_0_530,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_531,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_29,refute_0_530]) ).

cnf(refute_0_532,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_529,refute_0_531]) ).

cnf(refute_0_533,plain,
    product(product(A,B),product(C,product(A,C))) = product(product(A,C),product(B,product(A,C))),
    inference(subst,[],[refute_0_27:[bind(D,$fot(product(A,C)))]]) ).

cnf(refute_0_534,plain,
    bigC(product(A,C),product(A,C),B) = product(product(A,C),product(B,product(A,C))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(A,C))),bind(X_19,$fot(B))]]) ).

cnf(refute_0_535,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_16:[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_536,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_534,refute_0_535]) ).

cnf(refute_0_537,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_538,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_536,refute_0_537]) ).

cnf(refute_0_539,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_533,refute_0_538]) ).

cnf(refute_0_540,plain,
    ( bigC(X_18,X_18,X_19) != product(X_18,product(X_19,X_18))
    | product(X_18,product(X_19,X_18)) = bigC(X_18,X_18,X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_18,X_18,X_19))),bind(Y,$fot(product(X_18,product(X_19,X_18))))]]) ).

cnf(refute_0_541,plain,
    product(X_18,product(X_19,X_18)) = bigC(X_18,X_18,X_19),
    inference(resolve,[$cnf( $equal(bigC(X_18,X_18,X_19),product(X_18,product(X_19,X_18))) )],[refute_0_85,refute_0_540]) ).

cnf(refute_0_542,plain,
    product(C,product(A,C)) = bigC(C,C,A),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(C)),bind(X_19,$fot(A))]]) ).

cnf(refute_0_543,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_544,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_545,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_543,refute_0_544]) ).

cnf(refute_0_546,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_542,refute_0_545]) ).

cnf(refute_0_547,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_548,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_546,refute_0_547]) ).

cnf(refute_0_549,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_539,refute_0_548]) ).

cnf(refute_0_550,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_16:[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_551,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_549,refute_0_550]) ).

cnf(refute_0_552,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_551:[bind(A,$fot(B)),bind(B,$fot(product(A,C))),bind(C,$fot(D))]]) ).

cnf(refute_0_553,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_554,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_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    product(B,product(A,B)) = bigC(B,B,A),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(B)),bind(X_19,$fot(A))]]) ).

cnf(refute_0_556,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_557,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_558,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_556,refute_0_557]) ).

cnf(refute_0_559,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_555,refute_0_558]) ).

cnf(refute_0_560,plain,
    product(product(A,B),product(C,product(X_36,B))) = product(product(A,C),product(B,product(X_36,B))),
    inference(subst,[],[refute_0_27:[bind(D,$fot(product(X_36,B)))]]) ).

cnf(refute_0_561,plain,
    bigC(B,B,X_36) = product(B,product(X_36,B)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(B)),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_562,plain,
    ( bigC(B,B,X_36) != product(B,product(X_36,B))
    | product(B,product(X_36,B)) = bigC(B,B,X_36) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(B,B,X_36))),bind(Y,$fot(product(B,product(X_36,B))))]]) ).

cnf(refute_0_563,plain,
    product(B,product(X_36,B)) = bigC(B,B,X_36),
    inference(resolve,[$cnf( $equal(bigC(B,B,X_36),product(B,product(X_36,B))) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    ( product(B,product(X_36,B)) != bigC(B,B,X_36)
    | product(product(A,B),product(C,product(X_36,B))) != product(product(A,C),product(B,product(X_36,B)))
    | product(product(A,B),product(C,product(X_36,B))) = product(product(A,C),bigC(B,B,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(C,product(X_36,B))),product(product(A,C),product(B,product(X_36,B)))) ),[1,1],$fot(bigC(B,B,X_36))]]) ).

cnf(refute_0_565,plain,
    ( product(product(A,B),product(C,product(X_36,B))) != product(product(A,C),product(B,product(X_36,B)))
    | product(product(A,B),product(C,product(X_36,B))) = product(product(A,C),bigC(B,B,X_36)) ),
    inference(resolve,[$cnf( $equal(product(B,product(X_36,B)),bigC(B,B,X_36)) )],[refute_0_563,refute_0_564]) ).

cnf(refute_0_566,plain,
    product(product(A,B),product(C,product(X_36,B))) = product(product(A,C),bigC(B,B,X_36)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(X_36,B))),product(product(A,C),product(B,product(X_36,B)))) )],[refute_0_560,refute_0_565]) ).

cnf(refute_0_567,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_566:[bind(A,$fot(B)),bind(B,$fot(D)),bind(C,$fot(product(A,B))),bind(X_36,$fot(C))]]) ).

cnf(refute_0_568,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_32:[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_569,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_567,refute_0_568]) ).

cnf(refute_0_570,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_559,refute_0_569]) ).

cnf(refute_0_571,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_572,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_570,refute_0_571]) ).

cnf(refute_0_573,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_554,refute_0_572]) ).

cnf(refute_0_574,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_532,refute_0_573]) ).

cnf(refute_0_575,plain,
    product(product(C,product(A,B)),bigC(A,A,C)) = product(bigC(C,C,A),bigC(A,A,B)),
    inference(subst,[],[refute_0_574:[bind(B,$fot(C)),bind(C,$fot(B)),bind(D,$fot(A))]]) ).

cnf(refute_0_576,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_551:[bind(A,$fot(C)),bind(B,$fot(product(A,B))),bind(C,$fot(A))]]) ).

cnf(refute_0_577,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_32:[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_578,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_576,refute_0_577]) ).

cnf(refute_0_579,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_575,refute_0_578]) ).

cnf(refute_0_580,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_581,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_579,refute_0_580]) ).

cnf(refute_0_582,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_528,refute_0_581]) ).

cnf(refute_0_583,plain,
    product(bigC(a,a,c),bigC(c,c,b)) = product(product(a,c),bigC(c,b,a)),
    inference(subst,[],[refute_0_582:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_584,plain,
    product(product(a,product(c,b)),bigC(c,c,a)) = product(bigC(a,a,c),bigC(c,c,b)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_585,plain,
    ( product(bigC(a,a,c),bigC(c,c,b)) != product(product(a,c),bigC(c,b,a))
    | product(product(a,product(c,b)),bigC(c,c,a)) != product(bigC(a,a,c),bigC(c,c,b))
    | product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,c),bigC(c,b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),bigC(c,c,a)))),bind(Y,$fot(product(bigC(a,a,c),bigC(c,c,b)))),bind(Z,$fot(product(product(a,c),bigC(c,b,a))))]]) ).

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

cnf(refute_0_587,plain,
    product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,c),bigC(c,b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,c,b)),product(product(a,c),bigC(c,b,a))) )],[refute_0_583,refute_0_586]) ).

cnf(refute_0_588,plain,
    bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,product(c,b)),bigC(c,c,a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(product(c,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_589,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(product(a,product(c,b)),bigC(c,c,a))
    | product(product(a,product(c,b)),bigC(c,c,a)) != product(product(a,c),bigC(c,b,a))
    | bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),bigC(c,b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(a,c),product(c,b)))),bind(Y,$fot(product(product(a,product(c,b)),bigC(c,c,a)))),bind(Z,$fot(product(product(a,c),bigC(c,b,a))))]]) ).

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

cnf(refute_0_591,plain,
    bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),bigC(c,b,a)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,c,a)),product(product(a,c),bigC(c,b,a))) )],[refute_0_587,refute_0_590]) ).

cnf(refute_0_592,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(product(a,c),bigC(c,b,a))
    | product(product(a,c),bigC(c,b,a)) != product(product(a,c),bigC(c,a,b))
    | bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(a,c),product(c,b)))),bind(Y,$fot(product(product(a,c),bigC(c,b,a)))),bind(Z,$fot(product(product(a,c),bigC(c,a,b))))]]) ).

cnf(refute_0_593,plain,
    ( product(product(a,c),bigC(c,b,a)) != product(product(a,c),bigC(c,a,b))
    | bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(product(a,c),bigC(c,b,a))) )],[refute_0_591,refute_0_592]) ).

cnf(refute_0_594,plain,
    bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,b,a)),product(product(a,c),bigC(c,a,b))) )],[refute_0_524,refute_0_593]) ).

cnf(refute_0_595,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),bigC(c,a,b))
    | product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(a,product(b,c))) ),[0],$fot(product(product(a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_596,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(a,product(b,c))
    | product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(product(a,c),bigC(c,a,b))) )],[refute_0_594,refute_0_595]) ).

cnf(refute_0_597,plain,
    product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(a,product(b,c))) )],[refute_0_520,refute_0_596]) ).

cnf(refute_0_598,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),product(a,c),bigC(c,a,b))) != product(a,c)
    | product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),product(a,c),bigC(c,a,b))),product(a,c)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_599,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),product(a,c),bigC(c,a,b))) != product(a,c)
    | difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_598]) ).

cnf(refute_0_600,plain,
    difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),product(a,c),bigC(c,a,b))),product(a,c)) )],[refute_0_501,refute_0_599]) ).

cnf(refute_0_601,plain,
    bigC(c,c,a) = bigC(c,a,c),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_602,plain,
    product(product(a,bigC(c,a,b)),bigC(c,c,a)) = product(product(a,bigC(c,a,b)),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(c,a,b)),bigC(c,c,a)))]]) ).

cnf(refute_0_603,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,bigC(c,a,b)),bigC(c,c,a)) != product(product(a,bigC(c,a,b)),bigC(c,c,a))
    | product(product(a,bigC(c,a,b)),bigC(c,c,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,c,a)),product(product(a,bigC(c,a,b)),bigC(c,c,a))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_604,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,bigC(c,a,b)),bigC(c,c,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,c,a)),product(product(a,bigC(c,a,b)),bigC(c,c,a))) )],[refute_0_602,refute_0_603]) ).

cnf(refute_0_605,plain,
    product(product(a,bigC(c,a,b)),bigC(c,c,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_601,refute_0_604]) ).

cnf(refute_0_606,plain,
    bigC(product(a,c),product(a,c),bigC(c,a,b)) = product(product(a,bigC(c,a,b)),bigC(c,c,a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_607,plain,
    ( bigC(product(a,c),product(a,c),bigC(c,a,b)) != product(product(a,bigC(c,a,b)),bigC(c,c,a))
    | product(product(a,bigC(c,a,b)),bigC(c,c,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,c))
    | bigC(product(a,c),product(a,c),bigC(c,a,b)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(a,c),bigC(c,a,b)))),bind(Y,$fot(product(product(a,bigC(c,a,b)),bigC(c,c,a)))),bind(Z,$fot(product(product(a,bigC(c,a,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_608,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,c,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,c))
    | bigC(product(a,c),product(a,c),bigC(c,a,b)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),bigC(c,a,b)),product(product(a,bigC(c,a,b)),bigC(c,c,a))) )],[refute_0_606,refute_0_607]) ).

cnf(refute_0_609,plain,
    bigC(product(a,c),product(a,c),bigC(c,a,b)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,c,a)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_605,refute_0_608]) ).

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

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

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

cnf(refute_0_613,plain,
    difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) = difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),bigC(c,a,b)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_609,refute_0_612]) ).

cnf(refute_0_614,plain,
    ( difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) != difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c)))
    | difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) != product(a,c)
    | difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))),product(a,c)) ),[0],$fot(difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_615,plain,
    ( difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) != product(a,c)
    | difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))),difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c)))) )],[refute_0_613,refute_0_614]) ).

cnf(refute_0_616,plain,
    difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))),product(a,c)) )],[refute_0_600,refute_0_615]) ).

cnf(refute_0_617,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_50:[bind(X_17,$fot(product(a,c))),bind(X_18,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_618,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_619,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_597,refute_0_618]) ).

cnf(refute_0_620,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_617,refute_0_619]) ).

cnf(refute_0_621,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = bigC(product(a,c),product(a,c),bigC(c,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_622,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != bigC(product(a,c),product(a,c),bigC(c,a,b))
    | bigC(product(a,c),product(a,c),bigC(c,a,b)) != product(product(a,bigC(c,a,b)),bigC(c,c,a))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),bigC(c,a,b),product(a,c)))),bind(Y,$fot(bigC(product(a,c),product(a,c),bigC(c,a,b)))),bind(Z,$fot(product(product(a,bigC(c,a,b)),bigC(c,c,a))))]]) ).

cnf(refute_0_623,plain,
    ( bigC(product(a,c),product(a,c),bigC(c,a,b)) != product(product(a,bigC(c,a,b)),bigC(c,c,a))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),bigC(product(a,c),product(a,c),bigC(c,a,b))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),bigC(c,a,b)),product(product(a,bigC(c,a,b)),bigC(c,c,a))) )],[refute_0_606,refute_0_623]) ).

cnf(refute_0_625,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,bigC(c,a,b)),bigC(c,c,a))
    | product(product(a,bigC(c,a,b)),bigC(c,c,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),bigC(c,a,b),product(a,c)))),bind(Y,$fot(product(product(a,bigC(c,a,b)),bigC(c,c,a)))),bind(Z,$fot(product(product(a,bigC(c,a,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_626,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,c,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(product(a,bigC(c,a,b)),bigC(c,c,a))) )],[refute_0_624,refute_0_625]) ).

cnf(refute_0_627,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,bigC(c,a,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,c,a)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_605,refute_0_626]) ).

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

cnf(refute_0_629,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,bigC(c,a,b)),bigC(c,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(a,bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_627,refute_0_628]) ).

cnf(refute_0_630,plain,
    product(product(a,product(b,c)),product(a,c)) = product(a,product(product(b,c),c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_631,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,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(product(a,bigC(c,a,b)),bigC(c,a,c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(c,a,b)),bigC(c,a,c)),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_632,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,bigC(c,a,b)),bigC(c,a,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_630,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,bigC(c,a,b)),bigC(c,a,c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,c)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_629,refute_0_632]) ).

cnf(refute_0_634,plain,
    product(product(a,bigC(c,a,b)),bigC(c,a,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_620,refute_0_633]) ).

cnf(refute_0_635,plain,
    difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_636,plain,
    ( difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) != difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c)))
    | product(product(a,bigC(c,a,b)),bigC(c,a,c)) != product(a,product(product(b,c),c))
    | difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))),difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c)))) ),[1,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_637,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,c)) != product(a,product(product(b,c),c))
    | difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))),difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c)))) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,c)),product(a,product(product(b,c),c))) )],[refute_0_634,refute_0_637]) ).

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

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

cnf(refute_0_641,plain,
    difference(product(a,product(b,c)),product(a,product(product(b,c),c))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,bigC(c,a,b)),bigC(c,a,c))),product(a,c)) )],[refute_0_616,refute_0_640]) ).

cnf(refute_0_642,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) ),[0,1,1,0],$fot(product(a,c))]]) ).

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

cnf(refute_0_644,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) )],[refute_0_490,refute_0_643]) ).

cnf(refute_0_645,plain,
    product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(product(product(b,c),c),c))),bind(X_26,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_646,plain,
    product(product(a,c),product(a,bigC(c,b,c))) = product(a,product(c,bigC(c,b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(c)),bind(X_26,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_647,plain,
    bigC(c,c,b) = bigC(c,b,c),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_648,plain,
    product(c,product(b,c)) = bigC(c,c,b),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(b))]]) ).

cnf(refute_0_649,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_32:[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_650,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_648,refute_0_649]) ).

cnf(refute_0_651,plain,
    product(c,product(b,c)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_647,refute_0_650]) ).

cnf(refute_0_652,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_653,plain,
    ( product(a,product(c,product(b,c))) != product(a,product(c,product(b,c)))
    | product(c,product(b,c)) != bigC(c,b,c)
    | product(a,product(c,product(b,c))) = product(a,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_654,plain,
    ( product(c,product(b,c)) != bigC(c,b,c)
    | product(a,product(c,product(b,c))) = product(a,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    product(a,product(c,product(b,c))) = product(a,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,b,c)) )],[refute_0_651,refute_0_654]) ).

cnf(refute_0_656,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_657,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_658,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_656,refute_0_657]) ).

cnf(refute_0_659,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_479,refute_0_658]) ).

cnf(refute_0_660,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(c,b,c))
    | 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,b,c)) ),
    inference(subst,[],[refute_0_32:[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,b,c))))]]) ).

cnf(refute_0_661,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(c,b,c))
    | product(product(a,a),product(c,product(b,c))) = product(a,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_659,refute_0_660]) ).

cnf(refute_0_662,plain,
    product(product(a,a),product(c,product(b,c))) = product(a,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,bigC(c,b,c))) )],[refute_0_655,refute_0_661]) ).

cnf(refute_0_663,plain,
    product(product(a,c),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(product(a,a),product(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(a,a),product(c,product(b,c)))))]]) ).

cnf(refute_0_664,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(c,b,c))
    | product(product(a,c),product(product(a,a),product(c,product(b,c)))) != product(product(a,c),product(product(a,a),product(c,product(b,c))))
    | product(product(a,c),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(a,a),product(c,product(b,c)))),product(product(a,c),product(product(a,a),product(c,product(b,c))))) ),[1,1],$fot(product(a,bigC(c,b,c)))]]) ).

cnf(refute_0_665,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(c,b,c))
    | product(product(a,c),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,a),product(c,product(b,c)))),product(product(a,c),product(product(a,a),product(c,product(b,c))))) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    product(product(a,c),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,bigC(c,b,c))) )],[refute_0_662,refute_0_665]) ).

cnf(refute_0_667,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))))]]) ).

cnf(refute_0_668,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) != product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c))))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(product(a,a),product(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c))))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_669,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(product(a,a),product(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c))))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(product(a,a),product(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,c)) )],[refute_0_641,refute_0_669]) ).

cnf(refute_0_671,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) != product(product(a,c),product(product(a,a),product(c,product(b,c))))
    | product(product(a,c),product(product(a,a),product(c,product(b,c)))) != product(product(a,c),product(a,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))))),bind(Y,$fot(product(product(a,c),product(product(a,a),product(c,product(b,c)))))),bind(Z,$fot(product(product(a,c),product(a,bigC(c,b,c)))))]]) ).

cnf(refute_0_672,plain,
    ( product(product(a,c),product(product(a,a),product(c,product(b,c)))) != product(product(a,c),product(a,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),product(product(a,c),product(product(a,a),product(c,product(b,c))))) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(product(a,c),product(a,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,a),product(c,product(b,c)))),product(product(a,c),product(a,bigC(c,b,c)))) )],[refute_0_666,refute_0_672]) ).

cnf(refute_0_674,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) != product(product(a,c),product(a,bigC(c,b,c)))
    | product(product(a,c),product(a,bigC(c,b,c))) != product(a,product(c,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(a,product(c,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))))),bind(Y,$fot(product(product(a,c),product(a,bigC(c,b,c))))),bind(Z,$fot(product(a,product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_675,plain,
    ( product(product(a,c),product(a,bigC(c,b,c))) != product(a,product(c,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(a,product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),product(product(a,c),product(a,bigC(c,b,c)))) )],[refute_0_673,refute_0_674]) ).

cnf(refute_0_676,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) = product(a,product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,bigC(c,b,c))),product(a,product(c,bigC(c,b,c)))) )],[refute_0_646,refute_0_675]) ).

cnf(refute_0_677,plain,
    bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) = product(X_47,product(product(A,C),product(B,D))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(X_47)),bind(X_17,$fot(product(B,D))),bind(X_19,$fot(product(A,C)))]]) ).

cnf(refute_0_678,plain,
    ( bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) != product(X_47,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),difference(product(B,D),X_47),product(A,C)) = product(X_47,product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(B,D),difference(product(B,D),X_47),product(A,C)),product(X_47,product(product(A,C),product(B,D)))) ),[1,1],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_679,plain,
    ( bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) != product(X_47,product(product(A,C),product(B,D)))
    | bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) = product(X_47,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_29,refute_0_678]) ).

cnf(refute_0_680,plain,
    bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) = product(X_47,product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),difference(product(B,D),X_47),product(A,C)),product(X_47,product(product(A,C),product(B,D)))) )],[refute_0_677,refute_0_679]) ).

cnf(refute_0_681,plain,
    ( bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) != product(X_47,product(product(A,B),product(C,D)))
    | bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) != product(X_47,product(product(A,C),product(B,D)))
    | product(X_47,product(product(A,C),product(B,D))) = product(X_47,product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(B,D),difference(product(B,D),X_47),product(A,C)),product(X_47,product(product(A,B),product(C,D)))) ),[0],$fot(product(X_47,product(product(A,C),product(B,D))))]]) ).

cnf(refute_0_682,plain,
    ( bigC(product(B,D),difference(product(B,D),X_47),product(A,C)) != product(X_47,product(product(A,B),product(C,D)))
    | product(X_47,product(product(A,C),product(B,D))) = product(X_47,product(product(A,B),product(C,D))) ),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),difference(product(B,D),X_47),product(A,C)),product(X_47,product(product(A,C),product(B,D)))) )],[refute_0_677,refute_0_681]) ).

cnf(refute_0_683,plain,
    product(X_47,product(product(A,C),product(B,D))) = product(X_47,product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),difference(product(B,D),X_47),product(A,C)),product(X_47,product(product(A,B),product(C,D)))) )],[refute_0_680,refute_0_682]) ).

cnf(refute_0_684,plain,
    ( product(X_47,product(product(A,C),product(B,D))) != product(X_47,product(product(A,B),product(C,D)))
    | product(X_47,product(product(A,B),product(C,D))) = product(X_47,product(product(A,C),product(B,D))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_47,product(product(A,C),product(B,D))))),bind(Y,$fot(product(X_47,product(product(A,B),product(C,D)))))]]) ).

cnf(refute_0_685,plain,
    product(X_47,product(product(A,B),product(C,D))) = product(X_47,product(product(A,C),product(B,D))),
    inference(resolve,[$cnf( $equal(product(X_47,product(product(A,C),product(B,D))),product(X_47,product(product(A,B),product(C,D)))) )],[refute_0_683,refute_0_684]) ).

cnf(refute_0_686,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) = product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(product(b,c))),bind(X_47,$fot(difference(product(a,product(b,c)),product(a,product(product(b,c),c)))))]]) ).

cnf(refute_0_687,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) != product(a,product(c,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) != product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c))))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) = product(a,product(c,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))),bind(Y,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))))),bind(Z,$fot(product(a,product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_688,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))) != product(a,product(c,bigC(c,b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) = product(a,product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c))))) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) = product(a,product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(c,product(b,c)))),product(a,product(c,bigC(c,b,c)))) )],[refute_0_676,refute_0_688]) ).

cnf(refute_0_690,plain,
    product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))))]]) ).

cnf(refute_0_691,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) != product(a,product(c,bigC(c,b,c)))
    | product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))
    | product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))) ),[1,1],$fot(product(a,product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_692,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))) != product(a,product(c,bigC(c,b,c)))
    | product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))) )],[refute_0_690,refute_0_691]) ).

cnf(refute_0_693,plain,
    product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))),product(a,product(c,bigC(c,b,c)))) )],[refute_0_689,refute_0_692]) ).

cnf(refute_0_694,plain,
    product(product(a,product(product(b,c),c)),product(a,c)) = product(a,product(product(product(b,c),c),c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(product(b,c),c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_695,plain,
    product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))))]]) ).

cnf(refute_0_696,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) != product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c))))
    | product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(product(a,product(product(b,c),c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_697,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(product(a,product(product(b,c),c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c))))) )],[refute_0_695,refute_0_696]) ).

cnf(refute_0_698,plain,
    product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(product(a,product(product(b,c),c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,c)) )],[refute_0_641,refute_0_697]) ).

cnf(refute_0_699,plain,
    ( product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) != product(product(a,product(product(b,c),c)),product(a,c))
    | product(product(a,product(product(b,c),c)),product(a,c)) != product(a,product(product(product(b,c),c),c))
    | product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(a,product(product(product(b,c),c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))))),bind(Y,$fot(product(product(a,product(product(b,c),c)),product(a,c)))),bind(Z,$fot(product(a,product(product(product(b,c),c),c))))]]) ).

cnf(refute_0_700,plain,
    ( product(product(a,product(product(b,c),c)),product(a,c)) != product(a,product(product(product(b,c),c),c))
    | product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(a,product(product(product(b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(product(a,product(product(b,c),c)),product(a,c))) )],[refute_0_698,refute_0_699]) ).

cnf(refute_0_701,plain,
    product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) = product(a,product(product(product(b,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(a,c)),product(a,product(product(product(b,c),c),c))) )],[refute_0_694,refute_0_700]) ).

cnf(refute_0_702,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))))]]) ).

cnf(refute_0_703,plain,
    ( product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) != product(a,product(product(product(b,c),c),c))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))) ),[1,0],$fot(product(a,product(product(product(b,c),c),c)))]]) ).

cnf(refute_0_704,plain,
    ( product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) != product(a,product(product(product(b,c),c),c))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))) )],[refute_0_702,refute_0_703]) ).

cnf(refute_0_705,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(a,product(product(product(b,c),c),c))) )],[refute_0_701,refute_0_704]) ).

cnf(refute_0_706,plain,
    ( product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))))),bind(Y,$fot(product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))))),bind(Z,$fot(product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_707,plain,
    ( product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c)))))) )],[refute_0_705,refute_0_706]) ).

cnf(refute_0_708,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(product(b,c),c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))) )],[refute_0_693,refute_0_707]) ).

cnf(refute_0_709,plain,
    ( product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))))),bind(Y,$fot(product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))))),bind(Z,$fot(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_710,plain,
    ( product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c))))) )],[refute_0_708,refute_0_709]) ).

cnf(refute_0_711,plain,
    product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(product(b,c),c),c)),product(a,product(c,bigC(c,b,c)))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_645,refute_0_710]) ).

cnf(refute_0_712,plain,
    ( product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) ),[0],$fot(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_713,plain,
    ( product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = difference(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_711,refute_0_712]) ).

cnf(refute_0_714,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,c)
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_715,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,c)) )],[refute_0_641,refute_0_714]) ).

cnf(refute_0_716,plain,
    ( product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) )],[refute_0_713,refute_0_715]) ).

cnf(refute_0_717,plain,
    product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,c),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,c),c)))) )],[refute_0_644,refute_0_716]) ).

cnf(refute_0_718,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) != product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(B,D))
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(B,D))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_719,plain,
    ( product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) != product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(B,D))
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_718]) ).

cnf(refute_0_720,plain,
    product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(B,D))) )],[refute_0_484,refute_0_719]) ).

cnf(refute_0_721,plain,
    difference(a,product(a,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))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_722,plain,
    ( difference(a,product(a,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(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | difference(a,product(a,c)) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_723,plain,
    ( difference(a,product(a,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)))
    | difference(a,product(a,c)) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_722]) ).

cnf(refute_0_724,plain,
    difference(a,product(a,c)) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,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_721,refute_0_723]) ).

cnf(refute_0_725,plain,
    difference(a,product(a,c)) = c,
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(c))]]) ).

cnf(refute_0_726,plain,
    ( difference(a,product(a,c)) != c
    | difference(a,product(a,c)) != 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))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,c)),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_727,plain,
    ( difference(a,product(a,c)) != 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))) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,c)),c) )],[refute_0_725,refute_0_726]) ).

cnf(refute_0_728,plain,
    c = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,c)),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) )],[refute_0_724,refute_0_727]) ).

cnf(refute_0_729,plain,
    ( 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 ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_730,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = c,
    inference(resolve,[$cnf( $equal(c,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) = product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D),
    introduced(tautology,[refl,[$fot(product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D))]]) ).

cnf(refute_0_732,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) != product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)
    | product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_733,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) = product(c,D),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),c) )],[refute_0_730,refute_0_733]) ).

cnf(refute_0_735,plain,
    product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),
    introduced(tautology,[refl,[$fot(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)))]]) ).

cnf(refute_0_736,plain,
    ( product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) != product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D))
    | product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) != product(c,D)
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_737,plain,
    ( product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D) != product(c,D)
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D))) )],[refute_0_735,refute_0_736]) ).

cnf(refute_0_738,plain,
    product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) = product(product(a,B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D),product(c,D)) )],[refute_0_734,refute_0_737]) ).

cnf(refute_0_739,plain,
    ( product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)) != product(product(a,B),product(c,D))
    | product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),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( $equal(product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,c),product(B,D))) ),[0],$fot(product(product(a,B),product(c,D)))]]) ).

cnf(refute_0_740,plain,
    ( product(product(a,B),product(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),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(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,B),product(c,D))) )],[refute_0_738,refute_0_739]) ).

cnf(refute_0_741,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(product(product(b,c),c),c),product(c,bigC(c,b,c))),D)),product(product(a,c),product(B,D))) )],[refute_0_720,refute_0_740]) ).

cnf(refute_0_742,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_16:[bind(X,$fot(product(product(a,B),product(c,D)))),bind(Y,$fot(product(product(a,c),product(B,D))))]]) ).

cnf(refute_0_743,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_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    product(product(a,c),product(a,product(c,b))) = product(product(a,a),product(c,product(c,b))),
    inference(subst,[],[refute_0_743:[bind(B,$fot(a)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_745,plain,
    ( product(product(a,a),product(c,product(c,b))) != product(a,product(c,product(c,b)))
    | 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))) = product(a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(a,product(c,b))))),bind(Y,$fot(product(product(a,a),product(c,product(c,b))))),bind(Z,$fot(product(a,product(c,product(c,b)))))]]) ).

cnf(refute_0_746,plain,
    ( product(product(a,a),product(c,product(c,b))) != product(a,product(c,product(c,b)))
    | product(product(a,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(product(a,a),product(c,product(c,b)))) )],[refute_0_744,refute_0_745]) ).

cnf(refute_0_747,plain,
    product(product(a,c),product(a,product(c,b))) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(c,b))),product(a,product(c,product(c,b)))) )],[refute_0_483,refute_0_746]) ).

cnf(refute_0_748,plain,
    ( product(a,product(product(c,a),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(a,product(product(c,a),b)) = product(a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(product(c,a),b)),product(a,product(c,product(c,b)))) ),[0],$fot(product(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_749,plain,
    ( product(a,product(product(c,a),b)) != product(product(a,c),product(a,product(c,b)))
    | product(a,product(product(c,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_747,refute_0_748]) ).

cnf(refute_0_750,plain,
    ( bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,c),product(a,product(c,b)))
    | product(a,product(product(c,a),b)) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,a),b)),product(product(a,c),product(a,product(c,b)))) )],[refute_0_478,refute_0_749]) ).

cnf(refute_0_751,plain,
    product(a,product(product(c,a),b)) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,c),product(a,product(c,b)))) )],[refute_0_371,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( difference(a,product(a,product(product(c,a),b))) != product(product(c,a),b)
    | product(a,product(product(c,a),b)) != product(a,product(c,product(c,b)))
    | difference(a,product(a,product(c,product(c,b)))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(c,a),b))),product(product(c,a),b)) ),[0,1],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_753,plain,
    ( difference(a,product(a,product(product(c,a),b))) != product(product(c,a),b)
    | difference(a,product(a,product(c,product(c,b)))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,a),b)),product(a,product(c,product(c,b)))) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    difference(a,product(a,product(c,product(c,b)))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(c,a),b))),product(product(c,a),b)) )],[refute_0_236,refute_0_753]) ).

cnf(refute_0_755,plain,
    difference(a,product(a,product(c,product(c,b)))) = product(c,product(c,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_756,plain,
    ( difference(a,product(a,product(c,product(c,b)))) != product(c,product(c,b))
    | difference(a,product(a,product(c,product(c,b)))) != product(product(c,a),b)
    | product(c,product(c,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(c,product(c,b)))),product(product(c,a),b)) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_757,plain,
    ( difference(a,product(a,product(c,product(c,b)))) != product(product(c,a),b)
    | product(c,product(c,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,product(c,b)))),product(c,product(c,b))) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    product(c,product(c,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,product(c,b)))),product(product(c,a),b)) )],[refute_0_754,refute_0_757]) ).

cnf(refute_0_759,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_16:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_760,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_758,refute_0_759]) ).

cnf(refute_0_761,plain,
    quotient(product(product(c,a),b),product(c,b)) = quotient(product(product(c,a),b),product(c,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),product(c,b)))]]) ).

cnf(refute_0_762,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),product(c,b)) != quotient(product(product(c,a),b),product(c,b))
    | quotient(product(product(c,a),b),product(c,b)) = quotient(product(c,product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),quotient(product(product(c,a),b),product(c,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_763,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),product(c,b)) = quotient(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),quotient(product(product(c,a),b),product(c,b))) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    quotient(product(product(c,a),b),product(c,b)) = quotient(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_763]) ).

cnf(refute_0_765,plain,
    ( quotient(product(c,product(c,b)),product(c,b)) != c
    | quotient(product(product(c,a),b),product(c,b)) != quotient(product(c,product(c,b)),product(c,b))
    | quotient(product(product(c,a),b),product(c,b)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),product(c,b)))),bind(Y,$fot(quotient(product(c,product(c,b)),product(c,b)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_766,plain,
    ( quotient(product(c,product(c,b)),product(c,b)) != c
    | quotient(product(product(c,a),b),product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),quotient(product(c,product(c,b)),product(c,b))) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    quotient(product(product(c,a),b),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(c,b)),c) )],[refute_0_235,refute_0_766]) ).

cnf(refute_0_768,plain,
    ( quotient(product(product(c,a),b),product(c,b)) != bigC(c,a,b)
    | quotient(product(product(c,a),b),product(c,b)) != c
    | c = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),bigC(c,a,b)) ),[0],$fot(c)]]) ).

cnf(refute_0_769,plain,
    ( quotient(product(product(c,a),b),product(c,b)) != bigC(c,a,b)
    | c = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),c) )],[refute_0_767,refute_0_768]) ).

cnf(refute_0_770,plain,
    c = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),bigC(c,a,b)) )],[refute_0_218,refute_0_769]) ).

cnf(refute_0_771,plain,
    ( c != bigC(c,a,b)
    | bigC(c,a,b) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_772,plain,
    bigC(c,a,b) = c,
    inference(resolve,[$cnf( $equal(c,bigC(c,a,b)) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,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_774,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_772,refute_0_773]) ).

cnf(refute_0_775,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_100,refute_0_774]) ).

cnf(refute_0_776,plain,
    ( bigC(product(c,a),difference(product(c,a),c),X_19) != product(c,product(X_19,product(c,a)))
    | difference(product(c,a),c) != product(b,c)
    | bigC(product(c,a),product(b,c),X_19) = product(c,product(X_19,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),c),X_19),product(c,product(X_19,product(c,a)))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_777,plain,
    ( bigC(product(c,a),difference(product(c,a),c),X_19) != product(c,product(X_19,product(c,a)))
    | bigC(product(c,a),product(b,c),X_19) = product(c,product(X_19,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_775,refute_0_776]) ).

cnf(refute_0_778,plain,
    bigC(product(c,a),product(b,c),X_19) = product(c,product(X_19,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),c),X_19),product(c,product(X_19,product(c,a)))) )],[refute_0_99,refute_0_777]) ).

cnf(refute_0_779,plain,
    bigC(product(c,a),product(b,c),product(c,a)) = product(c,product(product(c,a),product(c,a))),
    inference(subst,[],[refute_0_778:[bind(X_19,$fot(product(c,a)))]]) ).

cnf(refute_0_780,plain,
    ( bigC(product(c,a),product(b,c),product(c,a)) != product(c,product(product(c,a),product(c,a)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),bigC(product(c,a),product(b,c),product(c,a)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),product(c,product(product(c,a),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,a),bigC(product(c,a),product(b,c),product(c,a)))) ),[1,1],$fot(product(c,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_781,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),bigC(product(c,a),product(b,c),product(c,a)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),product(c,product(product(c,a),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(c,a)),product(c,product(product(c,a),product(c,a)))) )],[refute_0_779,refute_0_780]) ).

cnf(refute_0_782,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),product(c,product(product(c,a),product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,a),bigC(product(c,a),product(b,c),product(c,a)))) )],[refute_0_93,refute_0_781]) ).

cnf(refute_0_783,plain,
    product(product(a,c),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(a,c))),bind(B,$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_784,plain,
    difference(product(product(bigC(c,a,b),a),product(a,b)),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = product(bigC(c,a,b),a),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(bigC(c,a,b),a))),bind(X_41,$fot(product(a,b)))]]) ).

cnf(refute_0_785,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(a,c),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_786,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,[],[refute_0_58:[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_787,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_788,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_76,refute_0_787]) ).

cnf(refute_0_789,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_786,refute_0_788]) ).

cnf(refute_0_790,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_789:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(a,c)))]]) ).

cnf(refute_0_791,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_792,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)) )],[refute_0_103,refute_0_791]) ).

cnf(refute_0_793,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_790,refute_0_792]) ).

cnf(refute_0_794,plain,
    product(product(a,c),product(a,b)) = product(a,product(c,b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_795,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_796,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_797,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_795,refute_0_796]) ).

cnf(refute_0_798,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_794,refute_0_797]) ).

cnf(refute_0_799,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_800,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_798,refute_0_799]) ).

cnf(refute_0_801,plain,
    product(product(product(A,B),product(C,A)),product(X_25,X_26)) = product(product(product(A,B),X_25),product(product(C,A),X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(A,B))),bind(B,$fot(product(C,A))),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_802,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(product(A,B),product(C,A)),product(X_25,X_26)) != product(product(product(A,B),X_25),product(product(C,A),X_26))
    | product(bigC(A,B,C),product(X_25,X_26)) = product(product(product(A,B),X_25),product(product(C,A),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,B),product(C,A)),product(X_25,X_26)),product(product(product(A,B),X_25),product(product(C,A),X_26))) ),[0,0],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_803,plain,
    ( product(product(product(A,B),product(C,A)),product(X_25,X_26)) != product(product(product(A,B),X_25),product(product(C,A),X_26))
    | product(bigC(A,B,C),product(X_25,X_26)) = product(product(product(A,B),X_25),product(product(C,A),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_802]) ).

cnf(refute_0_804,plain,
    product(bigC(A,B,C),product(X_25,X_26)) = product(product(product(A,B),X_25),product(product(C,A),X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,A)),product(X_25,X_26)),product(product(product(A,B),X_25),product(product(C,A),X_26))) )],[refute_0_801,refute_0_803]) ).

cnf(refute_0_805,plain,
    ( product(bigC(A,B,C),product(X_25,X_26)) != product(product(product(A,B),X_25),product(product(C,A),X_26))
    | product(product(product(A,B),X_25),product(product(C,A),X_26)) = product(bigC(A,B,C),product(X_25,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(A,B,C),product(X_25,X_26)))),bind(Y,$fot(product(product(product(A,B),X_25),product(product(C,A),X_26))))]]) ).

cnf(refute_0_806,plain,
    product(product(product(A,B),X_25),product(product(C,A),X_26)) = product(bigC(A,B,C),product(X_25,X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(A,B,C),product(X_25,X_26)),product(product(product(A,B),X_25),product(product(C,A),X_26))) )],[refute_0_804,refute_0_805]) ).

cnf(refute_0_807,plain,
    product(product(product(c,a),a),product(product(b,c),c)) = product(bigC(c,a,b),product(a,c)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_808,plain,
    product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) = product(product(product(X_23,X_24),product(X_25,X_26)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(X_23,X_24))),bind(C,$fot(product(X_25,X_26)))]]) ).

cnf(refute_0_809,plain,
    ( product(product(X_23,X_24),product(X_25,X_26)) != product(product(X_23,X_25),product(X_24,X_26))
    | product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) != product(product(product(X_23,X_24),product(X_25,X_26)),product(B,D))
    | product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)),product(product(product(X_23,X_24),product(X_25,X_26)),product(B,D))) ),[1,0],$fot(product(product(X_23,X_25),product(X_24,X_26)))]]) ).

cnf(refute_0_810,plain,
    ( product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) != product(product(product(X_23,X_24),product(X_25,X_26)),product(B,D))
    | product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,X_26)),product(product(X_23,X_25),product(X_24,X_26))) )],[refute_0_134,refute_0_809]) ).

cnf(refute_0_811,plain,
    product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) = product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)),product(product(product(X_23,X_24),product(X_25,X_26)),product(B,D))) )],[refute_0_808,refute_0_810]) ).

cnf(refute_0_812,plain,
    ( product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) != product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D)) = product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)))),bind(Y,$fot(product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D))))]]) ).

cnf(refute_0_813,plain,
    product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D)) = product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_23,X_24),B),product(product(X_25,X_26),D)),product(product(product(X_23,X_25),product(X_24,X_26)),product(B,D))) )],[refute_0_811,refute_0_812]) ).

cnf(refute_0_814,plain,
    product(product(product(c,b),product(a,c)),product(a,c)) = product(product(product(c,a),a),product(product(b,c),c)),
    inference(subst,[],[refute_0_813:[bind(B,$fot(a)),bind(D,$fot(c)),bind(X_23,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(b)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_815,plain,
    ( product(product(product(c,a),a),product(product(b,c),c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(c,b),product(a,c)),product(a,c)) != product(product(product(c,a),a),product(product(b,c),c))
    | product(product(product(c,b),product(a,c)),product(a,c)) = product(bigC(c,a,b),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(a,c)),product(a,c)))),bind(Y,$fot(product(product(product(c,a),a),product(product(b,c),c)))),bind(Z,$fot(product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_816,plain,
    ( product(product(product(c,a),a),product(product(b,c),c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(c,b),product(a,c)),product(a,c)) = product(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(a,c)),product(product(product(c,a),a),product(product(b,c),c))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    product(product(product(c,b),product(a,c)),product(a,c)) = product(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(product(b,c),c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_807,refute_0_816]) ).

cnf(refute_0_818,plain,
    ( product(product(product(c,b),product(a,c)),product(a,c)) != product(bigC(c,a,b),product(a,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(bigC(c,a,b),product(a,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(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_819,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(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,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(bigC(c,a,b),product(a,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_800,refute_0_819]) ).

cnf(refute_0_821,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(product(a,c),product(a,b))),product(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_793,refute_0_820]) ).

cnf(refute_0_822,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,a,b),product(a,c))
    | product(product(bigC(c,a,b),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,a,b),product(a,c)))]]) ).

cnf(refute_0_823,plain,
    ( product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(a,c)
    | product(product(bigC(c,a,b),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,a,b),product(a,c))) )],[refute_0_821,refute_0_822]) ).

cnf(refute_0_824,plain,
    product(product(bigC(c,a,b),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_785,refute_0_823]) ).

cnf(refute_0_825,plain,
    product(product(X_23,X_24),product(product(a,c),product(c,b))) = product(product(X_23,product(a,c)),product(X_24,product(c,b))),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(product(a,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_826,plain,
    ( product(product(X_23,X_24),product(product(a,c),product(c,b))) != product(product(X_23,product(a,c)),product(X_24,product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(product(X_23,X_24),product(a,b)) = product(product(X_23,product(a,c)),product(X_24,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(product(a,c),product(c,b))),product(product(X_23,product(a,c)),product(X_24,product(c,b)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_827,plain,
    ( product(product(X_23,X_24),product(product(a,c),product(c,b))) != product(product(X_23,product(a,c)),product(X_24,product(c,b)))
    | product(product(X_23,X_24),product(a,b)) = product(product(X_23,product(a,c)),product(X_24,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_826]) ).

cnf(refute_0_828,plain,
    product(product(X_23,X_24),product(a,b)) = product(product(X_23,product(a,c)),product(X_24,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(product(a,c),product(c,b))),product(product(X_23,product(a,c)),product(X_24,product(c,b)))) )],[refute_0_825,refute_0_827]) ).

cnf(refute_0_829,plain,
    ( product(product(X_23,X_24),product(a,b)) != product(product(X_23,product(a,c)),product(X_24,product(c,b)))
    | product(product(X_23,product(a,c)),product(X_24,product(c,b))) = product(product(X_23,X_24),product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),product(a,b)))),bind(Y,$fot(product(product(X_23,product(a,c)),product(X_24,product(c,b)))))]]) ).

cnf(refute_0_830,plain,
    product(product(X_23,product(a,c)),product(X_24,product(c,b))) = product(product(X_23,X_24),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(a,b)),product(product(X_23,product(a,c)),product(X_24,product(c,b)))) )],[refute_0_828,refute_0_829]) ).

cnf(refute_0_831,plain,
    product(product(bigC(c,a,b),product(a,c)),product(a,product(c,b))) = product(product(bigC(c,a,b),a),product(a,b)),
    inference(subst,[],[refute_0_830:[bind(X_23,$fot(bigC(c,a,b))),bind(X_24,$fot(a))]]) ).

cnf(refute_0_832,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(a,product(c,b))) != product(a,c)
    | product(product(bigC(c,a,b),product(a,c)),product(a,product(c,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( $equal(product(product(bigC(c,a,b),product(a,c)),product(a,product(c,b))),product(a,c)) ),[0],$fot(product(product(bigC(c,a,b),a),product(a,b)))]]) ).

cnf(refute_0_833,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(a,product(c,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,a,b),product(a,c)),product(a,product(c,b))),product(product(bigC(c,a,b),a),product(a,b))) )],[refute_0_831,refute_0_832]) ).

cnf(refute_0_834,plain,
    product(product(bigC(c,a,b),a),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(a,product(c,b))),product(a,c)) )],[refute_0_824,refute_0_833]) ).

cnf(refute_0_835,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,b)),bigC(product(bigC(c,a,b),a),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)
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,b)),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),product(bigC(c,a,b),a)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_836,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,b)),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) != product(bigC(c,a,b),a)
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = 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_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,b)),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),product(bigC(c,a,b),a)) )],[refute_0_784,refute_0_836]) ).

cnf(refute_0_838,plain,
    product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_582:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_839,plain,
    product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) = product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(a)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_840,plain,
    ( product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) != product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b))
    | product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))))),bind(Y,$fot(product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)))),bind(Z,$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_841,plain,
    ( product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))),product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b))) )],[refute_0_839,refute_0_840]) ).

cnf(refute_0_842,plain,
    product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),bigC(c,a,b),a),bigC(a,a,b)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_838,refute_0_841]) ).

cnf(refute_0_843,plain,
    bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) = product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_551:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_844,plain,
    ( bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) != product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b)))
    | product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)))),bind(Y,$fot(product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))))),bind(Z,$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_845,plain,
    ( product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b)))) )],[refute_0_843,refute_0_844]) ).

cnf(refute_0_846,plain,
    bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,b)),bigC(a,a,bigC(c,a,b))),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_842,refute_0_845]) ).

cnf(refute_0_847,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))))]]) ).

cnf(refute_0_848,plain,
    ( bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) != difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)))) ),[1,1],$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_849,plain,
    ( bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)))) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) = difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_846,refute_0_849]) ).

cnf(refute_0_851,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) != difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) != product(bigC(c,a,b),a)
    | difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),product(bigC(c,a,b),a)) ),[0],$fot(difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_852,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))) != product(bigC(c,a,b),a)
    | difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) = product(bigC(c,a,b),a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))) )],[refute_0_850,refute_0_851]) ).

cnf(refute_0_853,plain,
    difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),product(a,b))),product(bigC(c,a,b),a)) )],[refute_0_837,refute_0_852]) ).

cnf(refute_0_854,plain,
    ( difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) != product(bigC(c,a,b),a)
    | product(product(a,c),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(a,c),product(bigC(c,a,b),a)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[0,1],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_855,plain,
    ( product(product(a,c),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(a,c),product(bigC(c,a,b),a)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))),product(bigC(c,a,b),a)) )],[refute_0_853,refute_0_854]) ).

cnf(refute_0_856,plain,
    product(product(a,c),product(bigC(c,a,b),a)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(a,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_783,refute_0_855]) ).

cnf(refute_0_857,plain,
    product(product(a,c),product(bigC(c,a,b),a)) = bigC(a,c,bigC(c,a,b)),
    inference(subst,[],[refute_0_117:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_858,plain,
    ( product(product(a,c),product(bigC(c,a,b),a)) != bigC(a,c,bigC(c,a,b))
    | product(product(a,c),product(bigC(c,a,b),a)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,bigC(c,a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[0],$fot(bigC(a,c,bigC(c,a,b)))]]) ).

cnf(refute_0_859,plain,
    ( product(product(a,c),product(bigC(c,a,b),a)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,bigC(c,a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,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_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    bigC(a,c,bigC(c,a,b)) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_856,refute_0_859]) ).

cnf(refute_0_861,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_862,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_863,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_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    bigC(a,c,bigC(c,a,b)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_863]) ).

cnf(refute_0_865,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | bigC(a,c,bigC(c,a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,c) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[0],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_866,plain,
    ( bigC(a,c,bigC(c,a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,c) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,c)) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,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_868,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_869,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_867,refute_0_868]) ).

cnf(refute_0_870,plain,
    bigC(a,b,bigC(c,a,b)) = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_869]) ).

cnf(refute_0_871,plain,
    product(product(c,a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_872,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(c,a),bigC(a,b,bigC(c,a,b))) != product(product(c,a),bigC(a,b,bigC(c,a,b)))
    | product(product(c,a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(a,b,bigC(c,a,b))),product(product(c,a),bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_873,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(c,a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,b,bigC(c,a,b))),product(product(c,a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_871,refute_0_872]) ).

cnf(refute_0_874,plain,
    product(product(c,a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_873]) ).

cnf(refute_0_875,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_876,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_877,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_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    product(bigC(c,a,b),a) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_877]) ).

cnf(refute_0_879,plain,
    product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_880,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_881,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_879,refute_0_880]) ).

cnf(refute_0_882,plain,
    product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(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_878,refute_0_881]) ).

cnf(refute_0_883,plain,
    ( product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != product(product(c,a),bigC(a,b,bigC(c,a,b)))
    | product(product(c,a),bigC(a,b,bigC(c,a,b))) != product(product(c,a),bigC(a,b,c))
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(product(product(c,a),bigC(a,b,bigC(c,a,b))))),bind(Z,$fot(product(product(c,a),bigC(a,b,c))))]]) ).

cnf(refute_0_884,plain,
    ( product(product(c,a),bigC(a,b,bigC(c,a,b))) != product(product(c,a),bigC(a,b,c))
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(c,a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_882,refute_0_883]) ).

cnf(refute_0_885,plain,
    product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,b,bigC(c,a,b))),product(product(c,a),bigC(a,b,c))) )],[refute_0_874,refute_0_884]) ).

cnf(refute_0_886,plain,
    ( bigC(a,c,c) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != product(product(c,a),bigC(a,b,c))
    | bigC(a,c,c) = product(product(c,a),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,c),product(product(c,a),bigC(a,b,c))) ),[0],$fot(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_887,plain,
    ( bigC(a,c,c) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,c) = product(product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(c,a),bigC(a,b,c))) )],[refute_0_885,refute_0_886]) ).

cnf(refute_0_888,plain,
    ( bigC(a,c,bigC(c,a,b)) != product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(a,c,c) = product(product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_866,refute_0_887]) ).

cnf(refute_0_889,plain,
    bigC(a,c,c) = product(product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),product(product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_860,refute_0_888]) ).

cnf(refute_0_890,plain,
    product(product(c,a),c) = bigC(c,a,c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(a))]]) ).

cnf(refute_0_891,plain,
    quotient(product(c,product(a,b)),product(a,b)) = c,
    inference(subst,[],[refute_0_58:[bind(A,$fot(c)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_892,plain,
    quotient(product(c,product(c,product(c,b))),c) = product(c,quotient(product(c,product(c,b)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_893,plain,
    difference(c,product(c,product(c,product(c,product(c,b))))) = product(c,product(c,product(c,b))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_894,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_79:[bind(X_15,$fot(b)),bind(X_16,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_895,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_85:[bind(X_18,$fot(product(c,b))),bind(X_19,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_896,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_897,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_215,refute_0_896]) ).

cnf(refute_0_898,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_895,refute_0_897]) ).

cnf(refute_0_899,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_551:[bind(A,$fot(c)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(b))]]) ).

cnf(refute_0_900,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_901,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_899,refute_0_900]) ).

cnf(refute_0_902,plain,
    product(product(c,b),product(product(c,a),b)) = product(product(c,product(c,a)),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(c)),bind(X_24,$fot(product(c,a))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_903,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_904,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_902,refute_0_903]) ).

cnf(refute_0_905,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_901,refute_0_904]) ).

cnf(refute_0_906,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_898,refute_0_905]) ).

cnf(refute_0_907,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_908,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_909,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_907,refute_0_908]) ).

cnf(refute_0_910,plain,
    product(c,bigC(c,a,b)) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_909]) ).

cnf(refute_0_911,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_32:[bind(X,$fot(product(c,bigC(c,a,b)))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_912,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_910,refute_0_911]) ).

cnf(refute_0_913,plain,
    product(c,bigC(c,a,b)) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_912]) ).

cnf(refute_0_914,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_915,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_916,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_914,refute_0_915]) ).

cnf(refute_0_917,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_913,refute_0_916]) ).

cnf(refute_0_918,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_919,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_917,refute_0_918]) ).

cnf(refute_0_920,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_906,refute_0_919]) ).

cnf(refute_0_921,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_16:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_922,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_920,refute_0_921]) ).

cnf(refute_0_923,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)),b) != product(c,bigC(b,b,c))
    | 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(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_924,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))) = product(product(c,product(c,a)),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_922,refute_0_923]) ).

cnf(refute_0_925,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(c,bigC(b,b,c))),
    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_894,refute_0_924]) ).

cnf(refute_0_926,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_927,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_928,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_926,refute_0_927]) ).

cnf(refute_0_929,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_760,refute_0_928]) ).

cnf(refute_0_930,plain,
    product(product(c,c),product(product(c,a),b)) = product(product(c,c),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,a),b)))]]) ).

cnf(refute_0_931,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),b)) != product(product(c,c),product(product(c,a),b))
    | product(product(c,c),product(product(c,a),b)) = product(c,product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,a),b)),product(product(c,c),product(product(c,a),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_932,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),b)) = product(c,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),b)),product(product(c,c),product(product(c,a),b))) )],[refute_0_930,refute_0_931]) ).

cnf(refute_0_933,plain,
    product(product(c,c),product(product(c,a),b)) = product(c,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_932]) ).

cnf(refute_0_934,plain,
    ( product(c,product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(product(c,c),product(product(c,a),b)) != product(c,product(product(c,a),b))
    | product(product(c,c),product(product(c,a),b)) = product(c,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(c,a),b)))),bind(Y,$fot(product(c,product(product(c,a),b)))),bind(Z,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_935,plain,
    ( product(c,product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(product(c,c),product(product(c,a),b)) = product(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),b)),product(c,product(product(c,a),b))) )],[refute_0_933,refute_0_934]) ).

cnf(refute_0_936,plain,
    product(product(c,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(c,product(c,b)))) )],[refute_0_929,refute_0_935]) ).

cnf(refute_0_937,plain,
    product(c,product(product(c,c),product(product(c,a),b))) = product(c,product(product(c,c),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,c),product(product(c,a),b))))]]) ).

cnf(refute_0_938,plain,
    ( product(c,product(product(c,c),product(product(c,a),b))) != product(c,product(product(c,c),product(product(c,a),b)))
    | product(product(c,c),product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(c,product(product(c,c),product(product(c,a),b))) = product(c,product(c,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,c),product(product(c,a),b))),product(c,product(product(c,c),product(product(c,a),b)))) ),[1,1],$fot(product(c,product(c,product(c,b))))]]) ).

cnf(refute_0_939,plain,
    ( product(product(c,c),product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(c,product(product(c,c),product(product(c,a),b))) = product(c,product(c,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(product(c,a),b))),product(c,product(product(c,c),product(product(c,a),b)))) )],[refute_0_937,refute_0_938]) ).

cnf(refute_0_940,plain,
    product(c,product(product(c,c),product(product(c,a),b))) = product(c,product(c,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),b)),product(c,product(c,product(c,b)))) )],[refute_0_936,refute_0_939]) ).

cnf(refute_0_941,plain,
    product(c,product(product(c,product(c,a)),product(c,b))) = product(c,product(product(c,c),product(product(c,a),b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,a))),bind(D,$fot(b)),bind(X_65,$fot(c))]]) ).

cnf(refute_0_942,plain,
    product(product(c,product(c,a)),product(X_25,b)) = product(product(product(c,product(c,a)),X_25),product(product(c,product(c,a)),b)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,product(c,a)))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_943,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | product(product(c,product(c,a)),product(X_25,b)) != product(product(product(c,product(c,a)),X_25),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),product(X_25,b)) = product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,a)),product(X_25,b)),product(product(product(c,product(c,a)),X_25),product(product(c,product(c,a)),b))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_944,plain,
    ( product(product(c,product(c,a)),product(X_25,b)) != product(product(product(c,product(c,a)),X_25),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),product(X_25,b)) = product(product(product(c,product(c,a)),X_25),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_922,refute_0_943]) ).

cnf(refute_0_945,plain,
    product(product(c,product(c,a)),product(X_25,b)) = product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(X_25,b)),product(product(product(c,product(c,a)),X_25),product(product(c,product(c,a)),b))) )],[refute_0_942,refute_0_944]) ).

cnf(refute_0_946,plain,
    product(product(c,X_25),product(c,product(c,b))) = product(c,product(X_25,product(c,b))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_947,plain,
    product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(bigC(c,a,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(c,a,c))),bind(D,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_948,plain,
    product(c,product(a,c)) = bigC(c,c,a),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(a))]]) ).

cnf(refute_0_949,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_32:[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_950,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_948,refute_0_949]) ).

cnf(refute_0_951,plain,
    product(c,product(a,c)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_601,refute_0_950]) ).

cnf(refute_0_952,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_953,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_954,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_952,refute_0_953]) ).

cnf(refute_0_955,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_951,refute_0_954]) ).

cnf(refute_0_956,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_551:[bind(A,$fot(c)),bind(B,$fot(product(a,c))),bind(C,$fot(b))]]) ).

cnf(refute_0_957,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_32:[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_958,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_956,refute_0_957]) ).

cnf(refute_0_959,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_955,refute_0_958]) ).

cnf(refute_0_960,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_961,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_959,refute_0_960]) ).

cnf(refute_0_962,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_963,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_211,refute_0_962]) ).

cnf(refute_0_964,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_961,refute_0_963]) ).

cnf(refute_0_965,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_111,refute_0_964]) ).

cnf(refute_0_966,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) != product(product(A,C),product(bigC(c,a,c),bigC(b,b,c)))
    | product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))),product(product(A,C),product(bigC(c,a,c),bigC(b,b,c)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_967,plain,
    ( product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) != product(product(A,C),product(bigC(c,a,c),bigC(b,b,c)))
    | product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) )],[refute_0_965,refute_0_966]) ).

cnf(refute_0_968,plain,
    product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))),product(product(A,C),product(bigC(c,a,c),bigC(b,b,c)))) )],[refute_0_947,refute_0_967]) ).

cnf(refute_0_969,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_970,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_971,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_969,refute_0_970]) ).

cnf(refute_0_972,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_760,refute_0_971]) ).

cnf(refute_0_973,plain,
    ( product(product(A,C),product(product(c,a),b)) != product(product(A,C),product(c,product(c,b)))
    | product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),b))) ),[1],$fot(product(product(A,C),product(c,product(c,b))))]]) ).

cnf(refute_0_974,plain,
    ( product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(c,a,c)),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_972,refute_0_973]) ).

cnf(refute_0_975,plain,
    product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,c)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),b))) )],[refute_0_968,refute_0_974]) ).

cnf(refute_0_976,plain,
    product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) = product(product(c,X_25),product(c,product(c,b))),
    inference(subst,[],[refute_0_975:[bind(A,$fot(c)),bind(C,$fot(X_25))]]) ).

cnf(refute_0_977,plain,
    ( product(product(c,X_25),product(c,product(c,b))) != product(c,product(X_25,product(c,b)))
    | product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) != product(product(c,X_25),product(c,product(c,b)))
    | product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))))),bind(Y,$fot(product(product(c,X_25),product(c,product(c,b))))),bind(Z,$fot(product(c,product(X_25,product(c,b)))))]]) ).

cnf(refute_0_978,plain,
    ( product(product(c,X_25),product(c,product(c,b))) != product(c,product(X_25,product(c,b)))
    | product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))),product(product(c,X_25),product(c,product(c,b)))) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(c,product(c,b))),product(c,product(X_25,product(c,b)))) )],[refute_0_946,refute_0_978]) ).

cnf(refute_0_980,plain,
    bigC(c,c,product(c,a)) = product(c,bigC(c,a,c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(a)),bind(X_35,$fot(c))]]) ).

cnf(refute_0_981,plain,
    bigC(c,product(c,a),c) = bigC(c,c,product(c,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_982,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_32:[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_983,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_981,refute_0_982]) ).

cnf(refute_0_984,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_980,refute_0_983]) ).

cnf(refute_0_985,plain,
    product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))))]]) ).

cnf(refute_0_986,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) != product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c)))
    | product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c)))) ),[1,0],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_987,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c)))) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(c,a,c))) )],[refute_0_984,refute_0_987]) ).

cnf(refute_0_989,plain,
    ( product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) != product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c)))
    | product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) != product(c,product(X_25,product(c,b)))
    | product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))))),bind(Y,$fot(product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))))),bind(Z,$fot(product(c,product(X_25,product(c,b)))))]]) ).

cnf(refute_0_990,plain,
    ( product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))) != product(c,product(X_25,product(c,b)))
    | product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c)))) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) = product(c,product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,c)),product(X_25,bigC(b,b,c))),product(c,product(X_25,product(c,b)))) )],[refute_0_979,refute_0_990]) ).

cnf(refute_0_992,plain,
    product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) = product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(c,a))),bind(X_24,$fot(c)),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_993,plain,
    ( product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) != product(c,product(X_25,product(c,b)))
    | product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) != product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c)))
    | product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))))),bind(Y,$fot(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))))),bind(Z,$fot(product(c,product(X_25,product(c,b)))))]]) ).

cnf(refute_0_994,plain,
    ( product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))) != product(c,product(X_25,product(c,b)))
    | product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) = product(c,product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))),product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c)))) )],[refute_0_992,refute_0_993]) ).

cnf(refute_0_995,plain,
    product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) = product(c,product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(X_25,bigC(b,b,c))),product(c,product(X_25,product(c,b)))) )],[refute_0_991,refute_0_994]) ).

cnf(refute_0_996,plain,
    ( product(product(c,product(c,a)),product(X_25,b)) != product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c)))
    | product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))) != product(c,product(X_25,product(c,b)))
    | product(product(c,product(c,a)),product(X_25,b)) = product(c,product(X_25,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,product(c,a)),product(X_25,b)),product(c,product(X_25,product(c,b)))) ),[0],$fot(product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_997,plain,
    ( product(product(c,product(c,a)),product(X_25,b)) != product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c)))
    | product(product(c,product(c,a)),product(X_25,b)) = product(c,product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c))),product(c,product(X_25,product(c,b)))) )],[refute_0_995,refute_0_996]) ).

cnf(refute_0_998,plain,
    product(product(c,product(c,a)),product(X_25,b)) = product(c,product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(X_25,b)),product(product(product(c,product(c,a)),X_25),product(c,bigC(b,b,c)))) )],[refute_0_945,refute_0_997]) ).

cnf(refute_0_999,plain,
    product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = product(c,product(product(c,product(c,a)),product(c,b))),
    inference(subst,[],[refute_0_998:[bind(X_25,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_1000,plain,
    ( product(c,product(product(c,product(c,a)),product(c,b))) != product(c,product(product(c,c),product(product(c,a),b)))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != product(c,product(product(c,product(c,a)),product(c,b)))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = product(c,product(product(c,c),product(product(c,a),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),product(product(c,product(c,a)),b)))),bind(Y,$fot(product(c,product(product(c,product(c,a)),product(c,b))))),bind(Z,$fot(product(c,product(product(c,c),product(product(c,a),b)))))]]) ).

cnf(refute_0_1001,plain,
    ( product(c,product(product(c,product(c,a)),product(c,b))) != product(c,product(product(c,c),product(product(c,a),b)))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = product(c,product(product(c,c),product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(c,product(c,a)),b)),product(c,product(product(c,product(c,a)),product(c,b)))) )],[refute_0_999,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = product(c,product(product(c,c),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,a)),product(c,b))),product(c,product(product(c,c),product(product(c,a),b)))) )],[refute_0_941,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    difference(product(product(X_29,product(B,D)),product(B,D)),product(B,D)) = product(product(B,D),product(product(B,D),X_29)),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(X_29)),bind(X_16,$fot(product(B,D)))]]) ).

cnf(refute_0_1004,plain,
    product(product(X_29,B),product(product(B,D),D)) = product(product(X_29,product(B,D)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_29)),bind(C,$fot(product(B,D)))]]) ).

cnf(refute_0_1005,plain,
    ( product(product(X_29,B),product(product(B,D),D)) != product(product(X_29,product(B,D)),product(B,D))
    | product(product(X_29,product(B,D)),product(B,D)) = product(product(X_29,B),product(product(B,D),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_29,B),product(product(B,D),D)))),bind(Y,$fot(product(product(X_29,product(B,D)),product(B,D))))]]) ).

cnf(refute_0_1006,plain,
    product(product(X_29,product(B,D)),product(B,D)) = product(product(X_29,B),product(product(B,D),D)),
    inference(resolve,[$cnf( $equal(product(product(X_29,B),product(product(B,D),D)),product(product(X_29,product(B,D)),product(B,D))) )],[refute_0_1004,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    ( difference(product(product(X_29,product(B,D)),product(B,D)),product(B,D)) != product(product(B,D),product(product(B,D),X_29))
    | product(product(X_29,product(B,D)),product(B,D)) != product(product(X_29,B),product(product(B,D),D))
    | difference(product(product(X_29,B),product(product(B,D),D)),product(B,D)) = product(product(B,D),product(product(B,D),X_29)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_29,product(B,D)),product(B,D)),product(B,D)),product(product(B,D),product(product(B,D),X_29))) ),[0,0],$fot(product(product(X_29,B),product(product(B,D),D)))]]) ).

cnf(refute_0_1008,plain,
    ( difference(product(product(X_29,product(B,D)),product(B,D)),product(B,D)) != product(product(B,D),product(product(B,D),X_29))
    | difference(product(product(X_29,B),product(product(B,D),D)),product(B,D)) = product(product(B,D),product(product(B,D),X_29)) ),
    inference(resolve,[$cnf( $equal(product(product(X_29,product(B,D)),product(B,D)),product(product(X_29,B),product(product(B,D),D))) )],[refute_0_1006,refute_0_1007]) ).

cnf(refute_0_1009,plain,
    difference(product(product(X_29,B),product(product(B,D),D)),product(B,D)) = product(product(B,D),product(product(B,D),X_29)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_29,product(B,D)),product(B,D)),product(B,D)),product(product(B,D),product(product(B,D),X_29))) )],[refute_0_1003,refute_0_1008]) ).

cnf(refute_0_1010,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_1009:[bind(B,$fot(c)),bind(D,$fot(product(c,a))),bind(X_29,$fot(b))]]) ).

cnf(refute_0_1011,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(c,product(product(c,c),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(c,product(product(c,c),product(product(c,a),b))) ),
    inference(subst,[],[refute_0_32:[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(c,product(product(c,c),product(product(c,a),b)))))]]) ).

cnf(refute_0_1012,plain,
    ( product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != product(c,product(product(c,c),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(c,product(product(c,c),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_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) = product(c,product(product(c,c),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(c,product(c,a)),b)),product(c,product(product(c,c),product(product(c,a),b)))) )],[refute_0_1002,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    difference(product(product(A,C),product(B,D)),product(B,D)) = product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(A,C))),bind(X_30,$fot(product(B,D)))]]) ).

cnf(refute_0_1015,plain,
    ( difference(product(product(A,C),product(B,D)),product(B,D)) != product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))
    | product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | difference(product(product(A,B),product(C,D)),product(B,D)) = product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(A,C),product(B,D)),product(B,D)),product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))) ),[0,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_1016,plain,
    ( difference(product(product(A,C),product(B,D)),product(B,D)) != product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))
    | difference(product(product(A,B),product(C,D)),product(B,D)) = product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    difference(product(product(A,B),product(C,D)),product(B,D)) = product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))),
    inference(resolve,[$cnf( $equal(difference(product(product(A,C),product(B,D)),product(B,D)),product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))) )],[refute_0_1014,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))) = difference(product(product(A,C),product(B,D)),product(B,D)),
    inference(subst,[],[refute_0_296:[bind(A,$fot(product(A,C))),bind(X_30,$fot(product(B,D)))]]) ).

cnf(refute_0_1019,plain,
    ( difference(product(product(A,B),product(C,D)),product(B,D)) != product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))
    | product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))) != difference(product(product(A,C),product(B,D)),product(B,D))
    | difference(product(product(A,B),product(C,D)),product(B,D)) = difference(product(product(A,C),product(B,D)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(A,B),product(C,D)),product(B,D)),difference(product(product(A,C),product(B,D)),product(B,D))) ),[0],$fot(product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))))]]) ).

cnf(refute_0_1020,plain,
    ( difference(product(product(A,B),product(C,D)),product(B,D)) != product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))
    | difference(product(product(A,B),product(C,D)),product(B,D)) = difference(product(product(A,C),product(B,D)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D)))),difference(product(product(A,C),product(B,D)),product(B,D))) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    difference(product(product(A,B),product(C,D)),product(B,D)) = difference(product(product(A,C),product(B,D)),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(product(product(A,B),product(C,D)),product(B,D)),product(product(B,D),product(product(B,D),quotient(product(A,C),product(B,D))))) )],[refute_0_1017,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    ( difference(product(product(A,B),product(C,D)),product(B,D)) != difference(product(product(A,C),product(B,D)),product(B,D))
    | difference(product(product(A,C),product(B,D)),product(B,D)) = difference(product(product(A,B),product(C,D)),product(B,D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(product(A,B),product(C,D)),product(B,D)))),bind(Y,$fot(difference(product(product(A,C),product(B,D)),product(B,D))))]]) ).

cnf(refute_0_1023,plain,
    difference(product(product(A,C),product(B,D)),product(B,D)) = difference(product(product(A,B),product(C,D)),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(product(product(A,B),product(C,D)),product(B,D)),difference(product(product(A,C),product(B,D)),product(B,D))) )],[refute_0_1021,refute_0_1022]) ).

cnf(refute_0_1024,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_1023:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,a)))),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_1025,plain,
    ( difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) != product(c,product(product(c,c),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(c,product(product(c,c),product(product(c,a),b))) ),
    inference(subst,[],[refute_0_32:[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(c,product(product(c,c),product(product(c,a),b)))))]]) ).

cnf(refute_0_1026,plain,
    ( difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) != product(c,product(product(c,c),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(c,product(product(c,c),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_1024,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(product(c,c),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(c,product(product(c,c),product(product(c,a),b)))) )],[refute_0_1013,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(c,product(product(c,c),product(product(c,a),b)))
    | product(c,product(product(c,c),product(product(c,a),b))) != product(c,product(c,product(c,product(c,b))))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(c,product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[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(c,product(product(c,c),product(product(c,a),b))))),bind(Z,$fot(product(c,product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_1029,plain,
    ( product(c,product(product(c,c),product(product(c,a),b))) != product(c,product(c,product(c,product(c,b))))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(c,product(c,product(c,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(c,product(product(c,c),product(product(c,a),b)))) )],[refute_0_1027,refute_0_1028]) ).

cnf(refute_0_1030,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(c,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(product(c,a),b))),product(c,product(c,product(c,product(c,b))))) )],[refute_0_940,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(c,product(c,product(c,product(c,b))))
    | 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(c,bigC(b,b,c)))
    | product(c,product(c,product(c,product(c,b)))) = product(product(c,product(c,a)),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) ),[0],$fot(product(c,product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_1032,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(c,bigC(b,b,c)))
    | product(c,product(c,product(c,product(c,b)))) = product(product(c,product(c,a)),product(c,bigC(b,b,c))) ),
    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(c,product(c,product(c,b))))) )],[refute_0_1030,refute_0_1031]) ).

cnf(refute_0_1033,plain,
    bigC(c,product(a,c),product(c,b)) = product(product(c,product(a,c)),product(product(c,b),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_1034,plain,
    bigC(product(c,b),c,product(a,c)) = product(product(product(c,b),c),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_1035,plain,
    bigC(c,b,c) = product(product(c,b),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(b))]]) ).

cnf(refute_0_1036,plain,
    ( bigC(c,b,c) != product(product(c,b),c)
    | product(product(c,b),c) = bigC(c,b,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,b,c))),bind(Y,$fot(product(product(c,b),c)))]]) ).

cnf(refute_0_1037,plain,
    product(product(c,b),c) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),product(product(c,b),c)) )],[refute_0_1035,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(product(product(c,b),c),product(a,b))
    | product(product(c,b),c) != bigC(c,b,c)
    | bigC(product(c,b),c,product(a,c)) = product(bigC(c,b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),product(product(product(c,b),c),product(a,b))) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_1039,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(product(product(c,b),c),product(a,b))
    | bigC(product(c,b),c,product(a,c)) = product(bigC(c,b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_1037,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    bigC(product(c,b),c,product(a,c)) = product(bigC(c,b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),product(product(product(c,b),c),product(a,b))) )],[refute_0_1034,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    product(product(c,b),difference(product(c,b),product(bigC(c,b,c),product(a,b)))) = product(bigC(c,b,c),product(a,b)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(c,b))),bind(B,$fot(product(bigC(c,b,c),product(a,b))))]]) ).

cnf(refute_0_1042,plain,
    difference(A,product(A,product(X_36,A))) = product(X_36,A),
    inference(subst,[],[refute_0_9:[bind(B,$fot(product(X_36,A)))]]) ).

cnf(refute_0_1043,plain,
    ( difference(A,product(A,product(X_36,A))) != product(X_36,A)
    | product(A,product(X_36,A)) != bigC(A,A,X_36)
    | difference(A,bigC(A,A,X_36)) = product(X_36,A) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(A,product(A,product(X_36,A))),product(X_36,A)) ),[0,1],$fot(bigC(A,A,X_36))]]) ).

cnf(refute_0_1044,plain,
    ( difference(A,product(A,product(X_36,A))) != product(X_36,A)
    | difference(A,bigC(A,A,X_36)) = product(X_36,A) ),
    inference(resolve,[$cnf( $equal(product(A,product(X_36,A)),bigC(A,A,X_36)) )],[refute_0_389,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    difference(A,bigC(A,A,X_36)) = product(X_36,A),
    inference(resolve,[$cnf( $equal(difference(A,product(A,product(X_36,A))),product(X_36,A)) )],[refute_0_1042,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    difference(X_52,bigC(X_52,X_52,X_53)) = product(X_53,X_52),
    inference(subst,[],[refute_0_1045:[bind(A,$fot(X_52)),bind(X_36,$fot(X_53))]]) ).

cnf(refute_0_1047,plain,
    bigC(X_52,X_53,X_52) = bigC(X_52,X_52,X_53),
    inference(subst,[],[refute_0_121:[bind(A,$fot(X_52)),bind(B,$fot(X_53)),bind(C,$fot(X_52))]]) ).

cnf(refute_0_1048,plain,
    ( bigC(X_52,X_53,X_52) != bigC(X_52,X_52,X_53)
    | bigC(X_52,X_52,X_53) = bigC(X_52,X_53,X_52) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_52,X_53,X_52))),bind(Y,$fot(bigC(X_52,X_52,X_53)))]]) ).

cnf(refute_0_1049,plain,
    bigC(X_52,X_52,X_53) = bigC(X_52,X_53,X_52),
    inference(resolve,[$cnf( $equal(bigC(X_52,X_53,X_52),bigC(X_52,X_52,X_53)) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    ( bigC(X_52,X_52,X_53) != bigC(X_52,X_53,X_52)
    | difference(X_52,bigC(X_52,X_52,X_53)) != product(X_53,X_52)
    | difference(X_52,bigC(X_52,X_53,X_52)) = product(X_53,X_52) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_52,bigC(X_52,X_52,X_53)),product(X_53,X_52)) ),[0,1],$fot(bigC(X_52,X_53,X_52))]]) ).

cnf(refute_0_1051,plain,
    ( difference(X_52,bigC(X_52,X_52,X_53)) != product(X_53,X_52)
    | difference(X_52,bigC(X_52,X_53,X_52)) = product(X_53,X_52) ),
    inference(resolve,[$cnf( $equal(bigC(X_52,X_52,X_53),bigC(X_52,X_53,X_52)) )],[refute_0_1049,refute_0_1050]) ).

cnf(refute_0_1052,plain,
    difference(X_52,bigC(X_52,X_53,X_52)) = product(X_53,X_52),
    inference(resolve,[$cnf( $equal(difference(X_52,bigC(X_52,X_52,X_53)),product(X_53,X_52)) )],[refute_0_1046,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    difference(product(c,b),bigC(product(c,b),a,product(c,b))) = product(a,product(c,b)),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(product(c,b))),bind(X_53,$fot(a))]]) ).

cnf(refute_0_1054,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_106:[bind(X_18,$fot(product(C,c)))]]) ).

cnf(refute_0_1055,plain,
    bigC(c,b,C) = product(product(c,b),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(b))]]) ).

cnf(refute_0_1056,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_16:[bind(X,$fot(bigC(c,b,C))),bind(Y,$fot(product(product(c,b),product(C,c))))]]) ).

cnf(refute_0_1057,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_1055,refute_0_1056]) ).

cnf(refute_0_1058,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_1059,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_1057,refute_0_1058]) ).

cnf(refute_0_1060,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_1054,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    bigC(product(c,b),product(C,b),a) = bigC(product(c,b),a,product(C,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(C,$fot(product(C,b)))]]) ).

cnf(refute_0_1062,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_24),product(X_25,X_26)),product(C,product(X_23,X_24))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(X_23,X_24))),bind(B,$fot(product(X_25,X_26)))]]) ).

cnf(refute_0_1063,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),C) != product(product(product(X_23,X_24),product(X_25,X_26)),product(C,product(X_23,X_24)))
    | product(product(X_23,X_24),product(X_25,X_26)) != product(product(X_23,X_25),product(X_24,X_26))
    | bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),C),product(product(product(X_23,X_24),product(X_25,X_26)),product(C,product(X_23,X_24)))) ),[1,0],$fot(product(product(X_23,X_25),product(X_24,X_26)))]]) ).

cnf(refute_0_1064,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),C) != product(product(product(X_23,X_24),product(X_25,X_26)),product(C,product(X_23,X_24)))
    | bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,X_26)),product(product(X_23,X_25),product(X_24,X_26))) )],[refute_0_134,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),C),product(product(product(X_23,X_24),product(X_25,X_26)),product(C,product(X_23,X_24)))) )],[refute_0_1062,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    product(product(X_23,X_24),product(product(A,B),product(C,A))) = product(product(X_23,product(A,B)),product(X_24,product(C,A))),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(product(A,B))),bind(D,$fot(product(C,A)))]]) ).

cnf(refute_0_1067,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(X_23,X_24),product(product(A,B),product(C,A))) != product(product(X_23,product(A,B)),product(X_24,product(C,A)))
    | product(product(X_23,X_24),bigC(A,B,C)) = product(product(X_23,product(A,B)),product(X_24,product(C,A))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(product(A,B),product(C,A))),product(product(X_23,product(A,B)),product(X_24,product(C,A)))) ),[0,1],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_1068,plain,
    ( product(product(X_23,X_24),product(product(A,B),product(C,A))) != product(product(X_23,product(A,B)),product(X_24,product(C,A)))
    | product(product(X_23,X_24),bigC(A,B,C)) = product(product(X_23,product(A,B)),product(X_24,product(C,A))) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    product(product(X_23,X_24),bigC(A,B,C)) = product(product(X_23,product(A,B)),product(X_24,product(C,A))),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(product(A,B),product(C,A))),product(product(X_23,product(A,B)),product(X_24,product(C,A)))) )],[refute_0_1066,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    ( product(product(X_23,X_24),bigC(A,B,C)) != product(product(X_23,product(A,B)),product(X_24,product(C,A)))
    | product(product(X_23,product(A,B)),product(X_24,product(C,A))) = product(product(X_23,X_24),bigC(A,B,C)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),bigC(A,B,C)))),bind(Y,$fot(product(product(X_23,product(A,B)),product(X_24,product(C,A)))))]]) ).

cnf(refute_0_1071,plain,
    product(product(X_23,product(A,B)),product(X_24,product(C,A))) = product(product(X_23,X_24),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),bigC(A,B,C)),product(product(X_23,product(A,B)),product(X_24,product(C,A)))) )],[refute_0_1069,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))) = product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(X_24)),bind(B,$fot(X_26)),bind(C,$fot(X_23)),bind(X_23,$fot(product(X_23,X_25))),bind(X_24,$fot(C))]]) ).

cnf(refute_0_1073,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),C) != product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24)))
    | product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))) != product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))
    | bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_23,X_24),product(X_25,X_26),C),product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))) ),[0],$fot(product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))))]]) ).

cnf(refute_0_1074,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),C) != product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24)))
    | bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24))),product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))) )],[refute_0_1072,refute_0_1073]) ).

cnf(refute_0_1075,plain,
    bigC(product(X_23,X_24),product(X_25,X_26),C) = product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),C),product(product(product(X_23,X_25),product(X_24,X_26)),product(C,product(X_23,X_24)))) )],[refute_0_1065,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    ( bigC(product(X_23,X_24),product(X_25,X_26),C) != product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))
    | product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)) = bigC(product(X_23,X_24),product(X_25,X_26),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(X_23,X_24),product(X_25,X_26),C))),bind(Y,$fot(product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))))]]) ).

cnf(refute_0_1077,plain,
    product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23)) = bigC(product(X_23,X_24),product(X_25,X_26),C),
    inference(resolve,[$cnf( $equal(bigC(product(X_23,X_24),product(X_25,X_26),C),product(product(product(X_23,X_25),C),bigC(X_24,X_26,X_23))) )],[refute_0_1075,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    product(product(product(c,C),a),bigC(b,b,c)) = bigC(product(c,b),product(C,b),a),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(a)),bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(C)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1079,plain,
    ( bigC(product(c,b),product(C,b),a) != bigC(product(c,b),a,product(C,b))
    | product(product(product(c,C),a),bigC(b,b,c)) != bigC(product(c,b),product(C,b),a)
    | product(product(product(c,C),a),bigC(b,b,c)) = bigC(product(c,b),a,product(C,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,C),a),bigC(b,b,c)))),bind(Y,$fot(bigC(product(c,b),product(C,b),a))),bind(Z,$fot(bigC(product(c,b),a,product(C,b))))]]) ).

cnf(refute_0_1080,plain,
    ( bigC(product(c,b),product(C,b),a) != bigC(product(c,b),a,product(C,b))
    | product(product(product(c,C),a),bigC(b,b,c)) = bigC(product(c,b),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,C),a),bigC(b,b,c)),bigC(product(c,b),product(C,b),a)) )],[refute_0_1078,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    product(product(product(c,C),a),bigC(b,b,c)) = bigC(product(c,b),a,product(C,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,b),a),bigC(product(c,b),a,product(C,b))) )],[refute_0_1061,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    bigC(b,c,b) = bigC(b,b,c),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_1083,plain,
    product(product(product(c,C),a),bigC(b,c,b)) = product(product(product(c,C),a),bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,C),a),bigC(b,c,b)))]]) ).

cnf(refute_0_1084,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(product(c,C),a),bigC(b,c,b)) != product(product(product(c,C),a),bigC(b,c,b))
    | product(product(product(c,C),a),bigC(b,c,b)) = product(product(product(c,C),a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,C),a),bigC(b,c,b)),product(product(product(c,C),a),bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_1085,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(product(c,C),a),bigC(b,c,b)) = product(product(product(c,C),a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,C),a),bigC(b,c,b)),product(product(product(c,C),a),bigC(b,c,b))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    product(product(product(c,C),a),bigC(b,c,b)) = product(product(product(c,C),a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1082,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    ( product(product(product(c,C),a),bigC(b,b,c)) != bigC(product(c,b),a,product(C,b))
    | product(product(product(c,C),a),bigC(b,c,b)) != product(product(product(c,C),a),bigC(b,b,c))
    | product(product(product(c,C),a),bigC(b,c,b)) = bigC(product(c,b),a,product(C,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,C),a),bigC(b,c,b)))),bind(Y,$fot(product(product(product(c,C),a),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),a,product(C,b))))]]) ).

cnf(refute_0_1088,plain,
    ( product(product(product(c,C),a),bigC(b,b,c)) != bigC(product(c,b),a,product(C,b))
    | product(product(product(c,C),a),bigC(b,c,b)) = bigC(product(c,b),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,C),a),bigC(b,c,b)),product(product(product(c,C),a),bigC(b,b,c))) )],[refute_0_1086,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    product(product(product(c,C),a),bigC(b,c,b)) = bigC(product(c,b),a,product(C,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,C),a),bigC(b,b,c)),bigC(product(c,b),a,product(C,b))) )],[refute_0_1081,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,b),product(B,D)),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(product(B,D)))]]) ).

cnf(refute_0_1091,plain,
    product(product(c,B),product(b,D)) = product(product(c,b),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_1092,plain,
    ( product(product(c,B),product(b,D)) != product(product(c,b),product(B,D))
    | product(product(c,b),product(B,D)) = product(product(c,B),product(b,D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,B),product(b,D)))),bind(Y,$fot(product(product(c,b),product(B,D))))]]) ).

cnf(refute_0_1093,plain,
    product(product(c,b),product(B,D)) = product(product(c,B),product(b,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(b,D)),product(product(c,b),product(B,D))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,b),product(B,D)),product(a,b))
    | product(product(c,b),product(B,D)) != product(product(c,B),product(b,D))
    | bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),product(b,D)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,b),product(B,D)),product(a,b))) ),[1,0],$fot(product(product(c,B),product(b,D)))]]) ).

cnf(refute_0_1095,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,b),product(B,D)),product(a,b))
    | bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),product(b,D)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(B,D)),product(product(c,B),product(b,D))) )],[refute_0_1093,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),product(b,D)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,b),product(B,D)),product(a,b))) )],[refute_0_1090,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    product(product(X_23,X_24),product(product(X_26,X_18),X_26)) = product(product(X_23,product(X_26,X_18)),product(X_24,X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(product(X_26,X_18))),bind(D,$fot(X_26))]]) ).

cnf(refute_0_1098,plain,
    bigC(X_26,X_18,X_26) = product(product(X_26,X_18),X_26),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_26))]]) ).

cnf(refute_0_1099,plain,
    ( bigC(X_26,X_18,X_26) != product(product(X_26,X_18),X_26)
    | product(product(X_26,X_18),X_26) = bigC(X_26,X_18,X_26) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_26,X_18,X_26))),bind(Y,$fot(product(product(X_26,X_18),X_26)))]]) ).

cnf(refute_0_1100,plain,
    product(product(X_26,X_18),X_26) = bigC(X_26,X_18,X_26),
    inference(resolve,[$cnf( $equal(bigC(X_26,X_18,X_26),product(product(X_26,X_18),X_26)) )],[refute_0_1098,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    ( product(product(X_23,X_24),product(product(X_26,X_18),X_26)) != product(product(X_23,product(X_26,X_18)),product(X_24,X_26))
    | product(product(X_26,X_18),X_26) != bigC(X_26,X_18,X_26)
    | product(product(X_23,X_24),bigC(X_26,X_18,X_26)) = product(product(X_23,product(X_26,X_18)),product(X_24,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(product(X_26,X_18),X_26)),product(product(X_23,product(X_26,X_18)),product(X_24,X_26))) ),[0,1],$fot(bigC(X_26,X_18,X_26))]]) ).

cnf(refute_0_1102,plain,
    ( product(product(X_23,X_24),product(product(X_26,X_18),X_26)) != product(product(X_23,product(X_26,X_18)),product(X_24,X_26))
    | product(product(X_23,X_24),bigC(X_26,X_18,X_26)) = product(product(X_23,product(X_26,X_18)),product(X_24,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_26,X_18),X_26),bigC(X_26,X_18,X_26)) )],[refute_0_1100,refute_0_1101]) ).

cnf(refute_0_1103,plain,
    product(product(X_23,X_24),bigC(X_26,X_18,X_26)) = product(product(X_23,product(X_26,X_18)),product(X_24,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(product(X_26,X_18),X_26)),product(product(X_23,product(X_26,X_18)),product(X_24,X_26))) )],[refute_0_1097,refute_0_1102]) ).

cnf(refute_0_1104,plain,
    ( product(product(X_23,X_24),bigC(X_26,X_18,X_26)) != product(product(X_23,product(X_26,X_18)),product(X_24,X_26))
    | product(product(X_23,product(X_26,X_18)),product(X_24,X_26)) = product(product(X_23,X_24),bigC(X_26,X_18,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),bigC(X_26,X_18,X_26)))),bind(Y,$fot(product(product(X_23,product(X_26,X_18)),product(X_24,X_26))))]]) ).

cnf(refute_0_1105,plain,
    product(product(X_23,product(X_26,X_18)),product(X_24,X_26)) = product(product(X_23,X_24),bigC(X_26,X_18,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),bigC(X_26,X_18,X_26)),product(product(X_23,product(X_26,X_18)),product(X_24,X_26))) )],[refute_0_1103,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    product(product(product(c,B),product(b,D)),product(a,b)) = product(product(product(c,B),a),bigC(b,D,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(D)),bind(X_23,$fot(product(c,B))),bind(X_24,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1107,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,B),product(b,D)),product(a,b))
    | product(product(product(c,B),product(b,D)),product(a,b)) != product(product(product(c,B),a),bigC(b,D,b))
    | bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),a),bigC(b,D,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,B),a),bigC(b,D,b))) ),[0],$fot(product(product(product(c,B),product(b,D)),product(a,b)))]]) ).

cnf(refute_0_1108,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,B),product(b,D)),product(a,b))
    | bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),a),bigC(b,D,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,B),product(b,D)),product(a,b)),product(product(product(c,B),a),bigC(b,D,b))) )],[refute_0_1106,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    bigC(product(c,b),product(B,D),product(a,c)) = product(product(product(c,B),a),bigC(b,D,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,B),product(b,D)),product(a,b))) )],[refute_0_1096,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    bigC(product(c,b),product(C,c),product(a,c)) = product(product(product(c,C),a),bigC(b,c,b)),
    inference(subst,[],[refute_0_1109:[bind(B,$fot(C)),bind(D,$fot(c))]]) ).

cnf(refute_0_1111,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != product(product(product(c,C),a),bigC(b,c,b))
    | product(product(product(c,C),a),bigC(b,c,b)) != bigC(product(c,b),a,product(C,b))
    | bigC(product(c,b),product(C,c),product(a,c)) = bigC(product(c,b),a,product(C,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(C,c),product(a,c)))),bind(Y,$fot(product(product(product(c,C),a),bigC(b,c,b)))),bind(Z,$fot(bigC(product(c,b),a,product(C,b))))]]) ).

cnf(refute_0_1112,plain,
    ( product(product(product(c,C),a),bigC(b,c,b)) != bigC(product(c,b),a,product(C,b))
    | bigC(product(c,b),product(C,c),product(a,c)) = bigC(product(c,b),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),product(product(product(c,C),a),bigC(b,c,b))) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    bigC(product(c,b),product(C,c),product(a,c)) = bigC(product(c,b),a,product(C,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,C),a),bigC(b,c,b)),bigC(product(c,b),a,product(C,b))) )],[refute_0_1089,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != bigC(product(c,b),a,product(C,b))
    | bigC(product(c,b),product(C,c),product(a,c)) != product(bigC(c,b,C),product(a,b))
    | bigC(product(c,b),a,product(C,b)) = 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(product(c,b),a,product(C,b)))]]) ).

cnf(refute_0_1115,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != product(bigC(c,b,C),product(a,b))
    | bigC(product(c,b),a,product(C,b)) = product(bigC(c,b,C),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),bigC(product(c,b),a,product(C,b))) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    bigC(product(c,b),a,product(C,b)) = 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_1060,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    bigC(product(c,b),a,product(c,b)) = product(bigC(c,b,c),product(a,b)),
    inference(subst,[],[refute_0_1116:[bind(C,$fot(c))]]) ).

cnf(refute_0_1118,plain,
    ( bigC(product(c,b),a,product(c,b)) != product(bigC(c,b,c),product(a,b))
    | difference(product(c,b),bigC(product(c,b),a,product(c,b))) != product(a,product(c,b))
    | difference(product(c,b),product(bigC(c,b,c),product(a,b))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),a,product(c,b))),product(a,product(c,b))) ),[0,1],$fot(product(bigC(c,b,c),product(a,b)))]]) ).

cnf(refute_0_1119,plain,
    ( difference(product(c,b),bigC(product(c,b),a,product(c,b))) != product(a,product(c,b))
    | difference(product(c,b),product(bigC(c,b,c),product(a,b))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(c,b)),product(bigC(c,b,c),product(a,b))) )],[refute_0_1117,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    difference(product(c,b),product(bigC(c,b,c),product(a,b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),a,product(c,b))),product(a,product(c,b))) )],[refute_0_1053,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    ( difference(product(c,b),product(bigC(c,b,c),product(a,b))) != product(a,product(c,b))
    | product(product(c,b),difference(product(c,b),product(bigC(c,b,c),product(a,b)))) != product(bigC(c,b,c),product(a,b))
    | product(product(c,b),product(a,product(c,b))) = product(bigC(c,b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),difference(product(c,b),product(bigC(c,b,c),product(a,b)))),product(bigC(c,b,c),product(a,b))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_1122,plain,
    ( product(product(c,b),difference(product(c,b),product(bigC(c,b,c),product(a,b)))) != product(bigC(c,b,c),product(a,b))
    | product(product(c,b),product(a,product(c,b))) = product(bigC(c,b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(bigC(c,b,c),product(a,b))),product(a,product(c,b))) )],[refute_0_1120,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    product(product(c,b),product(a,product(c,b))) = product(bigC(c,b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(c,b),product(bigC(c,b,c),product(a,b)))),product(bigC(c,b,c),product(a,b))) )],[refute_0_1041,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    product(product(c,b),product(a,product(c,b))) = product(product(c,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_1125,plain,
    ( product(product(c,b),product(a,product(c,b))) != product(bigC(c,b,c),product(a,b))
    | product(product(c,b),product(a,product(c,b))) != product(product(c,a),bigC(b,b,c))
    | product(product(c,a),bigC(b,b,c)) = product(bigC(c,b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(a,product(c,b))),product(bigC(c,b,c),product(a,b))) ),[0],$fot(product(product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_1126,plain,
    ( product(product(c,b),product(a,product(c,b))) != product(bigC(c,b,c),product(a,b))
    | product(product(c,a),bigC(b,b,c)) = product(bigC(c,b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,product(c,b))),product(product(c,a),bigC(b,b,c))) )],[refute_0_1124,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    product(product(c,a),bigC(b,b,c)) = product(bigC(c,b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,product(c,b))),product(bigC(c,b,c),product(a,b))) )],[refute_0_1123,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    ( product(product(c,a),bigC(b,b,c)) != product(bigC(c,b,c),product(a,b))
    | product(bigC(c,b,c),product(a,b)) = product(product(c,a),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,a),bigC(b,b,c)))),bind(Y,$fot(product(bigC(c,b,c),product(a,b))))]]) ).

cnf(refute_0_1129,plain,
    product(bigC(c,b,c),product(a,b)) = product(product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),product(bigC(c,b,c),product(a,b))) )],[refute_0_1127,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(bigC(c,b,c),product(a,b))
    | product(bigC(c,b,c),product(a,b)) != product(product(c,a),bigC(b,b,c))
    | bigC(product(c,b),c,product(a,c)) = product(product(c,a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),c,product(a,c)),product(product(c,a),bigC(b,b,c))) ),[0],$fot(product(bigC(c,b,c),product(a,b)))]]) ).

cnf(refute_0_1131,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(bigC(c,b,c),product(a,b))
    | bigC(product(c,b),c,product(a,c)) = product(product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),product(product(c,a),bigC(b,b,c))) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    bigC(product(c,b),c,product(a,c)) = product(product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),product(bigC(c,b,c),product(a,b))) )],[refute_0_1040,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    bigC(b,product(a,b),a) = bigC(b,a,product(a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_1134,plain,
    bigC(X_17,difference(X_17,bigC(X_17,X_60,X_17)),X_19) = product(bigC(X_17,X_60,X_17),product(X_19,X_17)),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(X_17,X_60,X_17)))]]) ).

cnf(refute_0_1135,plain,
    difference(X_17,bigC(X_17,X_60,X_17)) = product(X_60,X_17),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(X_17)),bind(X_53,$fot(X_60))]]) ).

cnf(refute_0_1136,plain,
    ( bigC(X_17,difference(X_17,bigC(X_17,X_60,X_17)),X_19) != product(bigC(X_17,X_60,X_17),product(X_19,X_17))
    | difference(X_17,bigC(X_17,X_60,X_17)) != product(X_60,X_17)
    | bigC(X_17,product(X_60,X_17),X_19) = product(bigC(X_17,X_60,X_17),product(X_19,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,difference(X_17,bigC(X_17,X_60,X_17)),X_19),product(bigC(X_17,X_60,X_17),product(X_19,X_17))) ),[0,1],$fot(product(X_60,X_17))]]) ).

cnf(refute_0_1137,plain,
    ( bigC(X_17,difference(X_17,bigC(X_17,X_60,X_17)),X_19) != product(bigC(X_17,X_60,X_17),product(X_19,X_17))
    | bigC(X_17,product(X_60,X_17),X_19) = product(bigC(X_17,X_60,X_17),product(X_19,X_17)) ),
    inference(resolve,[$cnf( $equal(difference(X_17,bigC(X_17,X_60,X_17)),product(X_60,X_17)) )],[refute_0_1135,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    bigC(X_17,product(X_60,X_17),X_19) = product(bigC(X_17,X_60,X_17),product(X_19,X_17)),
    inference(resolve,[$cnf( $equal(bigC(X_17,difference(X_17,bigC(X_17,X_60,X_17)),X_19),product(bigC(X_17,X_60,X_17),product(X_19,X_17))) )],[refute_0_1134,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    ( bigC(X_17,product(X_60,X_17),X_19) != product(bigC(X_17,X_60,X_17),product(X_19,X_17))
    | product(bigC(X_17,X_60,X_17),product(X_19,X_17)) = bigC(X_17,product(X_60,X_17),X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_17,product(X_60,X_17),X_19))),bind(Y,$fot(product(bigC(X_17,X_60,X_17),product(X_19,X_17))))]]) ).

cnf(refute_0_1140,plain,
    product(bigC(X_17,X_60,X_17),product(X_19,X_17)) = bigC(X_17,product(X_60,X_17),X_19),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_60,X_17),X_19),product(bigC(X_17,X_60,X_17),product(X_19,X_17))) )],[refute_0_1138,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    product(bigC(b,a,b),product(a,b)) = bigC(b,product(a,b),a),
    inference(subst,[],[refute_0_1140:[bind(X_17,$fot(b)),bind(X_19,$fot(a)),bind(X_60,$fot(a))]]) ).

cnf(refute_0_1142,plain,
    ( bigC(b,product(a,b),a) != bigC(b,a,product(a,b))
    | product(bigC(b,a,b),product(a,b)) != bigC(b,product(a,b),a)
    | product(bigC(b,a,b),product(a,b)) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(a,b)))),bind(Y,$fot(bigC(b,product(a,b),a))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_1143,plain,
    ( bigC(b,product(a,b),a) != bigC(b,a,product(a,b))
    | product(bigC(b,a,b),product(a,b)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,b)),bigC(b,product(a,b),a)) )],[refute_0_1141,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    product(bigC(b,a,b),product(a,b)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),a),bigC(b,a,product(a,b))) )],[refute_0_1133,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    difference(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))) = bigC(c,b,c),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(c,b,c))),bind(X_11,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_1146,plain,
    quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(product(c,b),bigC(c,a,b)))),bind(X_44,$fot(product(c,b)))]]) ).

cnf(refute_0_1147,plain,
    quotient(product(c,b),difference(product(product(a,c),b),product(c,b))) = product(product(a,c),b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(product(a,c),b))),bind(X_8,$fot(product(c,b)))]]) ).

cnf(refute_0_1148,plain,
    difference(product(product(product(a,c),product(c,b)),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(product(c,b)))]]) ).

cnf(refute_0_1149,plain,
    ( difference(product(product(product(a,c),product(c,b)),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(a,c)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) ),[0,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_1150,plain,
    ( difference(product(product(product(a,c),product(c,b)),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(a,c)))
    | difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) )],[refute_0_1148,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    product(product(a,b),product(c,b)) = product(product(a,c),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(a)),bind(X_24,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1153,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_1154,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_1155,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_1153,refute_0_1154]) ).

cnf(refute_0_1156,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_1152,refute_0_1155]) ).

cnf(refute_0_1157,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),product(product(c,b),product(a,c)))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) ),[0],$fot(difference(product(product(a,c),b),product(c,b)))]]) ).

cnf(refute_0_1158,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(a,c)))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),product(product(c,b),product(a,c))) ),
    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_1156,refute_0_1157]) ).

cnf(refute_0_1159,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_1160,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,a,b)
    | 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,a,b)) ),
    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,a,b))]]) ).

cnf(refute_0_1161,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,a,b)
    | product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),bigC(c,a,b)) ),
    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_1159,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_285,refute_0_1161]) ).

cnf(refute_0_1163,plain,
    ( difference(product(product(a,c),b),product(c,b)) != 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,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),product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_1164,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),product(product(c,b),product(a,c)))
    | 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),product(product(c,b),product(a,c))),product(product(c,b),bigC(c,a,b))) )],[refute_0_1162,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(a,c)))
    | 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),product(product(c,b),product(a,c)))) )],[refute_0_1158,refute_0_1164]) ).

cnf(refute_0_1166,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),product(product(c,b),product(a,c)))) )],[refute_0_1151,refute_0_1165]) ).

cnf(refute_0_1167,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_1168,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_1166,refute_0_1167]) ).

cnf(refute_0_1169,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_1147,refute_0_1168]) ).

cnf(refute_0_1170,plain,
    ( quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(a,c),b)
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_1171,plain,
    ( quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),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_1169,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))) )],[refute_0_1146,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    ( 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,product(c,a)),b)
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,product(c,a)),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),bigC(c,a,b)))),bind(Y,$fot(product(product(c,bigC(c,a,b)),bigC(b,b,c)))),bind(Z,$fot(product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_1174,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,product(c,a)),b)
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) = 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,bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_899,refute_0_1173]) ).

cnf(refute_0_1175,plain,
    bigC(product(c,b),product(c,b),bigC(c,a,b)) = 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_906,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    bigC(product(c,b),bigC(c,a,b),product(c,b)) = bigC(product(c,b),product(c,b),bigC(c,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,b))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1177,plain,
    ( bigC(product(c,b),bigC(c,a,b),product(c,b)) != bigC(product(c,b),product(c,b),bigC(c,a,b))
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,product(c,a)),b)
    | bigC(product(c,b),bigC(c,a,b),product(c,b)) = product(product(c,product(c,a)),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),bigC(c,a,b),product(c,b)))),bind(Y,$fot(bigC(product(c,b),product(c,b),bigC(c,a,b)))),bind(Z,$fot(product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_1178,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,product(c,a)),b)
    | bigC(product(c,b),bigC(c,a,b),product(c,b)) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),product(c,b)),bigC(product(c,b),product(c,b),bigC(c,a,b))) )],[refute_0_1176,refute_0_1177]) ).

cnf(refute_0_1179,plain,
    bigC(product(c,b),bigC(c,a,b),product(c,b)) = 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,product(c,a)),b)) )],[refute_0_1175,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1181,plain,
    ( bigC(product(c,b),bigC(c,a,b),product(c,b)) != product(product(c,product(c,a)),b)
    | quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) != quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_1182,plain,
    ( bigC(product(c,b),bigC(c,a,b),product(c,b)) != product(product(c,product(c,a)),b)
    | quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,product(c,a)),b)) )],[refute_0_1179,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    quotient(product(product(X_55,X_18),X_55),product(X_55,X_18)) = product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(X_55,X_18))),bind(X_44,$fot(X_55))]]) ).

cnf(refute_0_1185,plain,
    bigC(X_55,X_18,X_55) = product(product(X_55,X_18),X_55),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_55))]]) ).

cnf(refute_0_1186,plain,
    ( bigC(X_55,X_18,X_55) != product(product(X_55,X_18),X_55)
    | product(product(X_55,X_18),X_55) = bigC(X_55,X_18,X_55) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_55,X_18,X_55))),bind(Y,$fot(product(product(X_55,X_18),X_55)))]]) ).

cnf(refute_0_1187,plain,
    product(product(X_55,X_18),X_55) = bigC(X_55,X_18,X_55),
    inference(resolve,[$cnf( $equal(bigC(X_55,X_18,X_55),product(product(X_55,X_18),X_55)) )],[refute_0_1185,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    ( product(product(X_55,X_18),X_55) != bigC(X_55,X_18,X_55)
    | quotient(product(product(X_55,X_18),X_55),product(X_55,X_18)) != product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))
    | quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)) = product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_55,X_18),X_55),product(X_55,X_18)),product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))) ),[0,0],$fot(bigC(X_55,X_18,X_55))]]) ).

cnf(refute_0_1189,plain,
    ( quotient(product(product(X_55,X_18),X_55),product(X_55,X_18)) != product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))
    | quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)) = product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))) ),
    inference(resolve,[$cnf( $equal(product(product(X_55,X_18),X_55),bigC(X_55,X_18,X_55)) )],[refute_0_1187,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)) = product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_55,X_18),X_55),product(X_55,X_18)),product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))) )],[refute_0_1184,refute_0_1189]) ).

cnf(refute_0_1191,plain,
    ( quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)) != product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))
    | product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))) = quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)))),bind(Y,$fot(product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))))]]) ).

cnf(refute_0_1192,plain,
    product(product(X_55,X_18),quotient(X_55,product(X_55,X_18))) = quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_55,X_18,X_55),product(X_55,X_18)),product(product(X_55,X_18),quotient(X_55,product(X_55,X_18)))) )],[refute_0_1190,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))) = quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_1192:[bind(X_18,$fot(bigC(c,a,b))),bind(X_55,$fot(product(c,b)))]]) ).

cnf(refute_0_1194,plain,
    ( product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))) != quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))))),bind(Z,$fot(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_1195,plain,
    ( product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))) != quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))) )],[refute_0_1146,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))),quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1193,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    ( quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) != quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_1198,plain,
    ( quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))) != quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,b),bigC(c,a,b))),quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1183,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    ( quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))
    | quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) ),[0],$fot(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1201,plain,
    ( quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1199,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    product(bigC(c,b,a),product(bigC(c,a,b),b)) = product(bigC(c,b,a),product(bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_1203,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(bigC(c,a,b),b)) != product(bigC(c,b,a),product(bigC(c,a,b),b))
    | product(bigC(c,b,a),product(bigC(c,a,b),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),product(bigC(c,a,b),b)),product(bigC(c,b,a),product(bigC(c,a,b),b))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_1204,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(bigC(c,a,b),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(bigC(c,a,b),b)),product(bigC(c,b,a),product(bigC(c,a,b),b))) )],[refute_0_1202,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    product(bigC(c,b,a),product(bigC(c,a,b),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_124,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,b,a),product(bigC(c,a,b),b)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1207,plain,
    ( product(bigC(c,b,a),product(bigC(c,a,b),b)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(c,b,a),product(bigC(c,a,b),b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,b,a),product(bigC(c,a,b),b)))),bind(Z,$fot(product(bigC(c,a,b),product(bigC(c,a,b),b))))]]) ).

cnf(refute_0_1208,plain,
    ( product(bigC(c,b,a),product(bigC(c,a,b),b)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(c,b,a),product(bigC(c,a,b),b))) )],[refute_0_1206,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(bigC(c,a,b),b)),product(bigC(c,a,b),product(bigC(c,a,b),b))) )],[refute_0_1205,refute_0_1208]) ).

cnf(refute_0_1210,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) ),[1],$fot(product(bigC(c,a,b),product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_1211,plain,
    ( quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(c,a,b),product(bigC(c,a,b),b))) )],[refute_0_1209,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    ( quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_1201,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = product(bigC(c,a,b),product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_1172,refute_0_1212]) ).

cnf(refute_0_1214,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_1215,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_1216,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_1214,refute_0_1215]) ).

cnf(refute_0_1217,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_772,refute_0_1216]) ).

cnf(refute_0_1218,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_32:[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_1219,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_1217,refute_0_1218]) ).

cnf(refute_0_1220,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_1037,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1222,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) != quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))),quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_1223,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))),quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1221,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1220,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1226,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_1227,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1225,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),b),product(c,bigC(b,b,c))) )],[refute_0_922,refute_0_1227]) ).

cnf(refute_0_1229,plain,
    ( quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) != quotient(product(c,bigC(b,b,c)),bigC(c,b,c))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(quotient(product(c,bigC(b,b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_1230,plain,
    ( quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))) != quotient(product(c,bigC(b,b,c)),bigC(c,b,c))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_1228,refute_0_1229]) ).

cnf(refute_0_1231,plain,
    quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(c,b),bigC(c,a,b))),quotient(product(c,bigC(b,b,c)),bigC(c,b,c))) )],[refute_0_1224,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    ( quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != quotient(product(c,bigC(b,b,c)),bigC(c,b,c))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),product(bigC(c,a,b),product(bigC(c,a,b),b))) ),[0],$fot(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_1233,plain,
    ( quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(bigC(c,a,b),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),quotient(product(c,bigC(b,b,c)),bigC(c,b,c))) )],[refute_0_1231,refute_0_1232]) ).

cnf(refute_0_1234,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_1235,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_1236,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_1234,refute_0_1235]) ).

cnf(refute_0_1237,plain,
    product(bigC(c,a,b),b) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1236]) ).

cnf(refute_0_1238,plain,
    product(c,product(bigC(c,a,b),b)) = product(c,product(bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_1239,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(c,product(bigC(c,a,b),b)) != product(c,product(bigC(c,a,b),b))
    | product(c,product(bigC(c,a,b),b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(c,a,b),b)),product(c,product(bigC(c,a,b),b))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_1240,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(c,product(bigC(c,a,b),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(c,a,b),b)),product(c,product(bigC(c,a,b),b))) )],[refute_0_1238,refute_0_1239]) ).

cnf(refute_0_1241,plain,
    product(c,product(bigC(c,a,b),b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),b),product(c,b)) )],[refute_0_1237,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(bigC(c,a,b),product(bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_1243,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(bigC(c,a,b),b)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),b)),product(bigC(c,a,b),product(bigC(c,a,b),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1244,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),b)),product(bigC(c,a,b),product(bigC(c,a,b),b))) )],[refute_0_1242,refute_0_1243]) ).

cnf(refute_0_1245,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1244]) ).

cnf(refute_0_1246,plain,
    ( product(bigC(c,a,b),product(bigC(c,a,b),b)) != product(c,product(bigC(c,a,b),b))
    | product(c,product(bigC(c,a,b),b)) != product(c,product(c,b))
    | product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,b),product(bigC(c,a,b),b)))),bind(Y,$fot(product(c,product(bigC(c,a,b),b)))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_1247,plain,
    ( product(c,product(bigC(c,a,b),b)) != product(c,product(c,b))
    | product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),b)),product(c,product(bigC(c,a,b),b))) )],[refute_0_1245,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(c,a,b),b)),product(c,product(c,b))) )],[refute_0_1241,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    ( product(bigC(c,a,b),product(bigC(c,a,b),b)) != product(c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(bigC(c,a,b),product(bigC(c,a,b),b))) ),[1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1250,plain,
    ( quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),b)),product(c,product(c,b))) )],[refute_0_1248,refute_0_1249]) ).

cnf(refute_0_1251,plain,
    ( quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))) != product(bigC(c,a,b),product(bigC(c,a,b),b))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(bigC(c,a,b),product(bigC(c,a,b),b))) )],[refute_0_1233,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),product(product(c,b),bigC(c,a,b))),product(bigC(c,a,b),product(bigC(c,a,b),b))) )],[refute_0_1213,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    ( difference(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))) != bigC(c,b,c)
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) != product(c,product(c,b))
    | difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))),bigC(c,b,c)) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1254,plain,
    ( difference(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))) != bigC(c,b,c)
    | difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,product(c,b))) )],[refute_0_1252,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(difference(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))),bigC(c,b,c)) )],[refute_0_1145,refute_0_1254]) ).

cnf(refute_0_1256,plain,
    difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1257,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(a,b),product(b,bigC(c,a,b))),X_44),
    inference(subst,[],[refute_0_256:[bind(A,$fot(X_44)),bind(X_17,$fot(product(a,b))),bind(X_18,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1258,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,[],[refute_0_11:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_1259,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_1260,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)) )],[refute_0_103,refute_0_1259]) ).

cnf(refute_0_1261,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_1258,refute_0_1260]) ).

cnf(refute_0_1262,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_1263,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_1159,refute_0_1262]) ).

cnf(refute_0_1264,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_282,refute_0_1263]) ).

cnf(refute_0_1265,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_1266,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_1267,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_1265,refute_0_1266]) ).

cnf(refute_0_1268,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_1264,refute_0_1267]) ).

cnf(refute_0_1269,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_1270,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_1268,refute_0_1269]) ).

cnf(refute_0_1271,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_1261,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    product(product(product(a,c),product(c,b)),product(X_25,X_26)) = product(product(product(a,c),X_25),product(product(c,b),X_26)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(X_25)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_1273,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(a,c),product(c,b)),product(X_25,X_26)) != product(product(product(a,c),X_25),product(product(c,b),X_26))
    | product(product(a,b),product(X_25,X_26)) = product(product(product(a,c),X_25),product(product(c,b),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(X_25,X_26)),product(product(product(a,c),X_25),product(product(c,b),X_26))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_1274,plain,
    ( product(product(product(a,c),product(c,b)),product(X_25,X_26)) != product(product(product(a,c),X_25),product(product(c,b),X_26))
    | product(product(a,b),product(X_25,X_26)) = product(product(product(a,c),X_25),product(product(c,b),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    product(product(a,b),product(X_25,X_26)) = product(product(product(a,c),X_25),product(product(c,b),X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(X_25,X_26)),product(product(product(a,c),X_25),product(product(c,b),X_26))) )],[refute_0_1272,refute_0_1274]) ).

cnf(refute_0_1276,plain,
    ( product(product(a,b),product(X_25,X_26)) != product(product(product(a,c),X_25),product(product(c,b),X_26))
    | product(product(product(a,c),X_25),product(product(c,b),X_26)) = product(product(a,b),product(X_25,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,b),product(X_25,X_26)))),bind(Y,$fot(product(product(product(a,c),X_25),product(product(c,b),X_26))))]]) ).

cnf(refute_0_1277,plain,
    product(product(product(a,c),X_25),product(product(c,b),X_26)) = product(product(a,b),product(X_25,X_26)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_25,X_26)),product(product(product(a,c),X_25),product(product(c,b),X_26))) )],[refute_0_1275,refute_0_1276]) ).

cnf(refute_0_1278,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_1277:[bind(X_25,$fot(b)),bind(X_26,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1279,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_1280,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_1281,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_1279,refute_0_1280]) ).

cnf(refute_0_1282,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_124,refute_0_1281]) ).

cnf(refute_0_1283,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_1284,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_1285,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_1283,refute_0_1284]) ).

cnf(refute_0_1286,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_1282,refute_0_1285]) ).

cnf(refute_0_1287,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_1288,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_1289,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_1287,refute_0_1288]) ).

cnf(refute_0_1290,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_1152,refute_0_1289]) ).

cnf(refute_0_1291,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_32:[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_1292,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_1290,refute_0_1291]) ).

cnf(refute_0_1293,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_1286,refute_0_1292]) ).

cnf(refute_0_1294,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_32:[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_1295,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_1293,refute_0_1294]) ).

cnf(refute_0_1296,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_1278,refute_0_1295]) ).

cnf(refute_0_1297,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_1298,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_1296,refute_0_1297]) ).

cnf(refute_0_1299,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_1271,refute_0_1298]) ).

cnf(refute_0_1300,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(a,b),product(b,bigC(c,a,b))),X_44)
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(c,b),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(a,b),product(b,bigC(c,a,b))),X_44)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_1301,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(a,b),product(b,bigC(c,a,b))),X_44)
    | bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(c,b),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_1299,refute_0_1300]) ).

cnf(refute_0_1302,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(c,b),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(a,b),product(b,bigC(c,a,b))),X_44)) )],[refute_0_1257,refute_0_1301]) ).

cnf(refute_0_1303,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,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1304,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_1305,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_1299,refute_0_1304]) ).

cnf(refute_0_1306,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_1303,refute_0_1305]) ).

cnf(refute_0_1307,plain,
    bigC(b,b,a) = bigC(b,a,b),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_1308,plain,
    product(product(c,C),bigC(b,b,a)) = product(product(c,C),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(c,C),bigC(b,b,a)))]]) ).

cnf(refute_0_1309,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(c,C),bigC(b,b,a)) != product(product(c,C),bigC(b,b,a))
    | product(product(c,C),bigC(b,b,a)) = product(product(c,C),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,C),bigC(b,b,a)),product(product(c,C),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1310,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(c,C),bigC(b,b,a)) = product(product(c,C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,C),bigC(b,b,a)),product(product(c,C),bigC(b,b,a))) )],[refute_0_1308,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    product(product(c,C),bigC(b,b,a)) = product(product(c,C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    product(product(c,b),product(C,product(a,b))) = product(product(c,C),bigC(b,b,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_1313,plain,
    ( product(product(c,C),bigC(b,b,a)) != product(product(c,C),bigC(b,a,b))
    | product(product(c,b),product(C,product(a,b))) != product(product(c,C),bigC(b,b,a))
    | product(product(c,b),product(C,product(a,b))) = product(product(c,C),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(C,product(a,b))))),bind(Y,$fot(product(product(c,C),bigC(b,b,a)))),bind(Z,$fot(product(product(c,C),bigC(b,a,b))))]]) ).

cnf(refute_0_1314,plain,
    ( product(product(c,C),bigC(b,b,a)) != product(product(c,C),bigC(b,a,b))
    | product(product(c,b),product(C,product(a,b))) = 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,b,a))) )],[refute_0_1312,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    product(product(c,b),product(C,product(a,b))) = product(product(c,C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,C),bigC(b,b,a)),product(product(c,C),bigC(b,a,b))) )],[refute_0_1311,refute_0_1314]) ).

cnf(refute_0_1316,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_1317,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_1315,refute_0_1316]) ).

cnf(refute_0_1318,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_1306,refute_0_1317]) ).

cnf(refute_0_1319,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b)),
    inference(subst,[],[refute_0_1318:[bind(C,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_1320,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(c,b),X_44)
    | bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b))
    | product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(c,b),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(c,b),X_44)) ),[0],$fot(product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_1321,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(c,b),X_44)
    | product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(c,b),X_44) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b))) )],[refute_0_1319,refute_0_1320]) ).

cnf(refute_0_1322,plain,
    product(product(c,quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(c,b),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(c,b),X_44)) )],[refute_0_1302,refute_0_1321]) ).

cnf(refute_0_1323,plain,
    product(product(c,quotient(product(product(c,a),b),product(a,b))),bigC(b,a,b)) = product(product(c,b),product(product(c,a),b)),
    inference(subst,[],[refute_0_1322:[bind(X_44,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1324,plain,
    quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))) = product(c,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(c,b))),bind(X_8,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1325,plain,
    difference(product(product(a,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = product(a,b),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(a,b))),bind(X_41,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1326,plain,
    ( difference(product(product(a,b),product(b,bigC(c,a,b))),bigC(product(a,b),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)
    | difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),product(a,b)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_1327,plain,
    ( difference(product(product(a,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) != product(a,b)
    | difference(product(c,b),bigC(product(a,b),product(a,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_1299,refute_0_1326]) ).

cnf(refute_0_1328,plain,
    difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),product(a,b)) )],[refute_0_1325,refute_0_1327]) ).

cnf(refute_0_1329,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_50:[bind(X_17,$fot(product(a,b))),bind(X_18,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1330,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_1331,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_1299,refute_0_1330]) ).

cnf(refute_0_1332,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_1329,refute_0_1331]) ).

cnf(refute_0_1333,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1334,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != bigC(product(a,b),product(a,b),product(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))
    | bigC(product(a,b),product(a,b),product(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(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_1335,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(c,b),product(a,b))
    | bigC(product(a,b),product(a,b),product(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)),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_1333,refute_0_1334]) ).

cnf(refute_0_1336,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,a),b)) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

cnf(refute_0_1337,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(c,b),product(a,b))
    | bigC(product(a,b),product(a,b),product(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_211,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(c,b),product(a,b))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,b),product(a,b))) )],[refute_0_1335,refute_0_1337]) ).

cnf(refute_0_1339,plain,
    bigC(product(a,b),product(a,b),product(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_1332,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_1341,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) != difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))
    | difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = difference(product(c,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1342,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = difference(product(c,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))) )],[refute_0_1340,refute_0_1341]) ).

cnf(refute_0_1343,plain,
    difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) = difference(product(c,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_1339,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    ( difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) != difference(product(c,b),product(product(c,a),b))
    | difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) != product(a,b)
    | difference(product(c,b),product(product(c,a),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),product(a,b)) ),[0],$fot(difference(product(c,b),product(product(c,a),b)))]]) ).

cnf(refute_0_1345,plain,
    ( difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))) != product(a,b)
    | difference(product(c,b),product(product(c,a),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),difference(product(c,b),product(product(c,a),b))) )],[refute_0_1343,refute_0_1344]) ).

cnf(refute_0_1346,plain,
    difference(product(c,b),product(product(c,a),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(a,b),product(a,b),product(b,bigC(c,a,b)))),product(a,b)) )],[refute_0_1328,refute_0_1345]) ).

cnf(refute_0_1347,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_1348,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_1346,refute_0_1347]) ).

cnf(refute_0_1349,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_1324,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    ( product(product(c,quotient(product(product(c,a),b),product(a,b))),bigC(b,a,b)) != product(product(c,b),product(product(c,a),b))
    | quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | product(product(c,product(c,b)),bigC(b,a,b)) = product(product(c,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,quotient(product(product(c,a),b),product(a,b))),bigC(b,a,b)),product(product(c,b),product(product(c,a),b))) ),[0,0,1],$fot(product(c,b))]]) ).

cnf(refute_0_1351,plain,
    ( product(product(c,quotient(product(product(c,a),b),product(a,b))),bigC(b,a,b)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,product(c,b)),bigC(b,a,b)) = product(product(c,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) )],[refute_0_1349,refute_0_1350]) ).

cnf(refute_0_1352,plain,
    product(product(c,product(c,b)),bigC(b,a,b)) = product(product(c,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(product(product(c,a),b),product(a,b))),bigC(b,a,b)),product(product(c,b),product(product(c,a),b))) )],[refute_0_1323,refute_0_1351]) ).

cnf(refute_0_1353,plain,
    ( product(product(c,b),product(product(c,a),b)) != product(product(c,product(c,a)),b)
    | product(product(c,product(c,b)),bigC(b,a,b)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,product(c,b)),bigC(b,a,b)) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,b),product(product(c,a),b))) ),[1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_1354,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,product(c,b)),bigC(b,a,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_902,refute_0_1353]) ).

cnf(refute_0_1355,plain,
    product(product(c,product(c,b)),bigC(b,a,b)) = product(product(c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,b),product(product(c,a),b))) )],[refute_0_1352,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))) != bigC(b,a,b)
    | product(product(c,product(c,b)),bigC(b,a,b)) != product(product(c,product(c,a)),b)
    | difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))),bigC(b,a,b)) ),[0,1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_1357,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))) != bigC(b,a,b)
    | difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,a)),b)) )],[refute_0_1355,refute_0_1356]) ).

cnf(refute_0_1358,plain,
    difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_1256,refute_0_1357]) ).

cnf(refute_0_1359,plain,
    difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_1360,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) != difference(product(c,product(c,b)),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = difference(product(c,product(c,b)),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),difference(product(c,product(c,b)),product(product(c,product(c,a)),b))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_1361,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = difference(product(c,product(c,b)),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),difference(product(c,product(c,b)),product(product(c,product(c,a)),b))) )],[refute_0_1359,refute_0_1360]) ).

cnf(refute_0_1362,plain,
    difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) = difference(product(c,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_922,refute_0_1361]) ).

cnf(refute_0_1363,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) != bigC(b,a,b)
    | difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) != difference(product(c,product(c,b)),product(c,bigC(b,b,c)))
    | difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),bigC(b,a,b)) ),[0],$fot(difference(product(c,product(c,b)),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_1364,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,a)),b)) != bigC(b,a,b)
    | difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),difference(product(c,product(c,b)),product(c,bigC(b,b,c)))) )],[refute_0_1362,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    difference(product(c,product(c,b)),product(c,bigC(b,b,c))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,a)),b)),bigC(b,a,b)) )],[refute_0_1358,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    ( difference(product(c,product(c,b)),product(c,bigC(b,b,c))) != bigC(b,a,b)
    | difference(product(c,product(c,b)),product(c,bigC(b,b,c))) != bigC(c,b,c)
    | bigC(b,a,b) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(c,bigC(b,b,c))),bigC(c,b,c)) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1367,plain,
    ( difference(product(c,product(c,b)),product(c,bigC(b,b,c))) != bigC(c,b,c)
    | bigC(b,a,b) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,bigC(b,b,c))),bigC(b,a,b)) )],[refute_0_1365,refute_0_1366]) ).

cnf(refute_0_1368,plain,
    bigC(b,a,b) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,bigC(b,b,c))),bigC(c,b,c)) )],[refute_0_1255,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    ( bigC(b,a,b) != bigC(c,b,c)
    | bigC(c,b,c) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_1370,plain,
    bigC(c,b,c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(c,b,c)) )],[refute_0_1368,refute_0_1369]) ).

cnf(refute_0_1371,plain,
    product(bigC(c,b,c),product(a,b)) = product(bigC(c,b,c),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(a,b)))]]) ).

cnf(refute_0_1372,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(a,b)) != product(bigC(c,b,c),product(a,b))
    | product(bigC(c,b,c),product(a,b)) = product(bigC(b,a,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),product(bigC(c,b,c),product(a,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1373,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(a,b)) = product(bigC(b,a,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),product(bigC(c,b,c),product(a,b))) )],[refute_0_1371,refute_0_1372]) ).

cnf(refute_0_1374,plain,
    product(bigC(c,b,c),product(a,b)) = product(bigC(b,a,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_1373]) ).

cnf(refute_0_1375,plain,
    ( product(bigC(b,a,b),product(a,b)) != bigC(b,a,product(a,b))
    | product(bigC(c,b,c),product(a,b)) != product(bigC(b,a,b),product(a,b))
    | product(bigC(c,b,c),product(a,b)) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,b,c),product(a,b)))),bind(Y,$fot(product(bigC(b,a,b),product(a,b)))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_1376,plain,
    ( product(bigC(b,a,b),product(a,b)) != bigC(b,a,product(a,b))
    | product(bigC(c,b,c),product(a,b)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),product(bigC(b,a,b),product(a,b))) )],[refute_0_1374,refute_0_1375]) ).

cnf(refute_0_1377,plain,
    product(bigC(c,b,c),product(a,b)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1144,refute_0_1376]) ).

cnf(refute_0_1378,plain,
    ( product(bigC(c,b,c),product(a,b)) != bigC(b,a,product(a,b))
    | product(product(c,a),bigC(b,b,c)) != product(bigC(c,b,c),product(a,b))
    | product(product(c,a),bigC(b,b,c)) = bigC(b,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),product(bigC(c,b,c),product(a,b))) ),[1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1379,plain,
    ( product(product(c,a),bigC(b,b,c)) != product(bigC(c,b,c),product(a,b))
    | product(product(c,a),bigC(b,b,c)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1377,refute_0_1378]) ).

cnf(refute_0_1380,plain,
    product(product(c,a),bigC(b,b,c)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),product(bigC(c,b,c),product(a,b))) )],[refute_0_1127,refute_0_1379]) ).

cnf(refute_0_1381,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(product(c,a),bigC(b,b,c))
    | product(product(c,a),bigC(b,b,c)) != bigC(b,a,product(a,b))
    | bigC(product(c,b),c,product(a,c)) = bigC(b,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),c,product(a,c)),bigC(b,a,product(a,b))) ),[0],$fot(product(product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_1382,plain,
    ( bigC(product(c,b),c,product(a,c)) != product(product(c,a),bigC(b,b,c))
    | bigC(product(c,b),c,product(a,c)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),bigC(b,a,product(a,b))) )],[refute_0_1380,refute_0_1381]) ).

cnf(refute_0_1383,plain,
    bigC(product(c,b),c,product(a,c)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),product(product(c,a),bigC(b,b,c))) )],[refute_0_1132,refute_0_1382]) ).

cnf(refute_0_1384,plain,
    bigC(difference(bigC(c,a,b),product(product(c,a),b)),X_71,bigC(c,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(product(c,a),b))),bind(X_18,$fot(X_71)),bind(X_19,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1385,plain,
    difference(bigC(c,a,b),product(bigC(c,a,b),product(c,b))) = product(c,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_1386,plain,
    ( difference(bigC(c,a,b),product(bigC(c,a,b),product(c,b))) != product(c,b)
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,b),product(bigC(c,a,b),product(c,b))),product(c,b)) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1387,plain,
    ( difference(bigC(c,a,b),product(bigC(c,a,b),product(c,b))) != product(c,b)
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_215,refute_0_1386]) ).

cnf(refute_0_1388,plain,
    difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(bigC(c,a,b),product(c,b))),product(c,b)) )],[refute_0_1385,refute_0_1387]) ).

cnf(refute_0_1389,plain,
    ( bigC(difference(bigC(c,a,b),product(product(c,a),b)),X_71,bigC(c,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | bigC(product(c,b),X_71,bigC(c,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(product(c,a),b)),X_71,bigC(c,a,b)),product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_1390,plain,
    ( bigC(difference(bigC(c,a,b),product(product(c,a),b)),X_71,bigC(c,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | bigC(product(c,b),X_71,bigC(c,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) )],[refute_0_1388,refute_0_1389]) ).

cnf(refute_0_1391,plain,
    bigC(product(c,b),X_71,bigC(c,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(product(c,a),b)),X_71,bigC(c,a,b)),product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))) )],[refute_0_1384,refute_0_1390]) ).

cnf(refute_0_1392,plain,
    bigC(product(c,b),B,bigC(c,a,b)) = product(product(product(c,b),B),product(bigC(c,a,b),product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1393,plain,
    ( bigC(product(c,b),B,bigC(c,a,b)) != product(product(product(c,b),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),B,bigC(c,a,b)) = product(product(product(c,b),B),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(product(c,b),B),product(bigC(c,a,b),product(c,b)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1394,plain,
    ( bigC(product(c,b),B,bigC(c,a,b)) != product(product(product(c,b),B),product(bigC(c,a,b),product(c,b)))
    | bigC(product(c,b),B,bigC(c,a,b)) = product(product(product(c,b),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_215,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    bigC(product(c,b),B,bigC(c,a,b)) = product(product(product(c,b),B),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(product(c,b),B),product(bigC(c,a,b),product(c,b)))) )],[refute_0_1392,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    product(product(c,product(b,a)),product(B,b)) = product(product(c,B),bigC(b,a,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(a)),bind(X_23,$fot(c)),bind(X_24,$fot(B)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1397,plain,
    product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) = product(product(product(X_65,X_66),product(X_65,X_67)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(X_65,X_66))),bind(C,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_1398,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) != product(product(product(X_65,X_66),product(X_65,X_67)),product(B,D))
    | product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) = product(product(X_65,product(X_66,X_67)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)),product(product(product(X_65,X_66),product(X_65,X_67)),product(B,D))) ),[1,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_1399,plain,
    ( product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) != product(product(product(X_65,X_66),product(X_65,X_67)),product(B,D))
    | product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) = product(product(X_65,product(X_66,X_67)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_1398]) ).

cnf(refute_0_1400,plain,
    product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)) = product(product(X_65,product(X_66,X_67)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_66),B),product(product(X_65,X_67),D)),product(product(product(X_65,X_66),product(X_65,X_67)),product(B,D))) )],[refute_0_1397,refute_0_1399]) ).

cnf(refute_0_1401,plain,
    product(product(product(c,b),B),product(product(c,a),b)) = product(product(c,product(b,a)),product(B,b)),
    inference(subst,[],[refute_0_1400:[bind(D,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_1402,plain,
    ( product(product(c,product(b,a)),product(B,b)) != product(product(c,B),bigC(b,a,b))
    | product(product(product(c,b),B),product(product(c,a),b)) != product(product(c,product(b,a)),product(B,b))
    | product(product(product(c,b),B),product(product(c,a),b)) = product(product(c,B),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),B),product(product(c,a),b)))),bind(Y,$fot(product(product(c,product(b,a)),product(B,b)))),bind(Z,$fot(product(product(c,B),bigC(b,a,b))))]]) ).

cnf(refute_0_1403,plain,
    ( product(product(c,product(b,a)),product(B,b)) != product(product(c,B),bigC(b,a,b))
    | product(product(product(c,b),B),product(product(c,a),b)) = product(product(c,B),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),B),product(product(c,a),b)),product(product(c,product(b,a)),product(B,b))) )],[refute_0_1401,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    product(product(product(c,b),B),product(product(c,a),b)) = product(product(c,B),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),product(B,b)),product(product(c,B),bigC(b,a,b))) )],[refute_0_1396,refute_0_1403]) ).

cnf(refute_0_1405,plain,
    ( bigC(product(c,b),B,bigC(c,a,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,B),bigC(b,a,b))
    | bigC(product(c,b),B,bigC(c,a,b)) = product(product(c,B),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(c,B),bigC(b,a,b))) ),[0],$fot(product(product(product(c,b),B),product(product(c,a),b)))]]) ).

cnf(refute_0_1406,plain,
    ( bigC(product(c,b),B,bigC(c,a,b)) != product(product(product(c,b),B),product(product(c,a),b))
    | bigC(product(c,b),B,bigC(c,a,b)) = product(product(c,B),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),B),product(product(c,a),b)),product(product(c,B),bigC(b,a,b))) )],[refute_0_1404,refute_0_1405]) ).

cnf(refute_0_1407,plain,
    bigC(product(c,b),B,bigC(c,a,b)) = product(product(c,B),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(product(c,b),B),product(product(c,a),b))) )],[refute_0_1395,refute_0_1406]) ).

cnf(refute_0_1408,plain,
    bigC(product(c,b),X_71,bigC(c,a,b)) = product(product(c,X_71),bigC(b,a,b)),
    inference(subst,[],[refute_0_1407:[bind(B,$fot(X_71))]]) ).

cnf(refute_0_1409,plain,
    ( bigC(product(c,b),X_71,bigC(c,a,b)) != product(product(c,X_71),bigC(b,a,b))
    | bigC(product(c,b),X_71,bigC(c,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | product(product(c,X_71),bigC(b,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_71,bigC(c,a,b)),product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))) ),[0],$fot(product(product(c,X_71),bigC(b,a,b)))]]) ).

cnf(refute_0_1410,plain,
    ( bigC(product(c,b),X_71,bigC(c,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | product(product(c,X_71),bigC(b,a,b)) = product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_71,bigC(c,a,b)),product(product(c,X_71),bigC(b,a,b))) )],[refute_0_1408,refute_0_1409]) ).

cnf(refute_0_1411,plain,
    bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) = bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71))]]) ).

cnf(refute_0_1412,plain,
    ( bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) != bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71)
    | difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71),bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_1413,plain,
    ( difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71),bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71)) )],[refute_0_1411,refute_0_1412]) ).

cnf(refute_0_1414,plain,
    bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) = bigC(product(c,b),bigC(c,a,b),X_71),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) )],[refute_0_1388,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    bigC(difference(B,X_70),B,C) = bigC(difference(B,X_70),C,B),
    inference(subst,[],[refute_0_121:[bind(A,$fot(difference(B,X_70)))]]) ).

cnf(refute_0_1416,plain,
    bigC(difference(B,X_70),C,B) = product(product(difference(B,X_70),C),X_70),
    inference(subst,[],[refute_0_7:[bind(B,$fot(X_70)),bind(X_18,$fot(C)),bind(X_19,$fot(B))]]) ).

cnf(refute_0_1417,plain,
    ( bigC(difference(B,X_70),B,C) != bigC(difference(B,X_70),C,B)
    | bigC(difference(B,X_70),C,B) != product(product(difference(B,X_70),C),X_70)
    | bigC(difference(B,X_70),B,C) = product(product(difference(B,X_70),C),X_70) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(B,X_70),B,C),product(product(difference(B,X_70),C),X_70)) ),[0],$fot(bigC(difference(B,X_70),C,B))]]) ).

cnf(refute_0_1418,plain,
    ( bigC(difference(B,X_70),B,C) != bigC(difference(B,X_70),C,B)
    | bigC(difference(B,X_70),B,C) = product(product(difference(B,X_70),C),X_70) ),
    inference(resolve,[$cnf( $equal(bigC(difference(B,X_70),C,B),product(product(difference(B,X_70),C),X_70)) )],[refute_0_1416,refute_0_1417]) ).

cnf(refute_0_1419,plain,
    bigC(difference(B,X_70),B,C) = product(product(difference(B,X_70),C),X_70),
    inference(resolve,[$cnf( $equal(bigC(difference(B,X_70),B,C),bigC(difference(B,X_70),C,B)) )],[refute_0_1415,refute_0_1418]) ).

cnf(refute_0_1420,plain,
    ( bigC(difference(B,X_70),B,C) != product(product(difference(B,X_70),C),X_70)
    | product(product(difference(B,X_70),C),X_70) = bigC(difference(B,X_70),B,C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(difference(B,X_70),B,C))),bind(Y,$fot(product(product(difference(B,X_70),C),X_70)))]]) ).

cnf(refute_0_1421,plain,
    product(product(difference(B,X_70),C),X_70) = bigC(difference(B,X_70),B,C),
    inference(resolve,[$cnf( $equal(bigC(difference(B,X_70),B,C),product(product(difference(B,X_70),C),X_70)) )],[refute_0_1419,refute_0_1420]) ).

cnf(refute_0_1422,plain,
    product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) = bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(bigC(c,a,b))),bind(C,$fot(X_71)),bind(X_70,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1423,plain,
    ( bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) != bigC(product(c,b),bigC(c,a,b),X_71)
    | product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) != bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71)
    | product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)))),bind(Y,$fot(bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71))),bind(Z,$fot(bigC(product(c,b),bigC(c,a,b),X_71)))]]) ).

cnf(refute_0_1424,plain,
    ( bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71) != bigC(product(c,b),bigC(c,a,b),X_71)
    | product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)),bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71)) )],[refute_0_1422,refute_0_1423]) ).

cnf(refute_0_1425,plain,
    product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) = bigC(product(c,b),bigC(c,a,b),X_71),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(product(c,a),b)),bigC(c,a,b),X_71),bigC(product(c,b),bigC(c,a,b),X_71)) )],[refute_0_1414,refute_0_1424]) ).

cnf(refute_0_1426,plain,
    ( product(product(c,X_71),bigC(b,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)) != bigC(product(c,b),bigC(c,a,b),X_71)
    | product(product(c,X_71),bigC(b,a,b)) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,X_71),bigC(b,a,b)),bigC(product(c,b),bigC(c,a,b),X_71)) ),[0],$fot(product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)))]]) ).

cnf(refute_0_1427,plain,
    ( product(product(c,X_71),bigC(b,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | product(product(c,X_71),bigC(b,a,b)) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b)),bigC(product(c,b),bigC(c,a,b),X_71)) )],[refute_0_1425,refute_0_1426]) ).

cnf(refute_0_1428,plain,
    ( bigC(product(c,b),X_71,bigC(c,a,b)) != product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))
    | product(product(c,X_71),bigC(b,a,b)) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_71),bigC(b,a,b)),product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))) )],[refute_0_1410,refute_0_1427]) ).

cnf(refute_0_1429,plain,
    product(product(c,X_71),bigC(b,a,b)) = bigC(product(c,b),bigC(c,a,b),X_71),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_71,bigC(c,a,b)),product(product(difference(bigC(c,a,b),product(product(c,a),b)),X_71),product(product(c,a),b))) )],[refute_0_1391,refute_0_1428]) ).

cnf(refute_0_1430,plain,
    bigC(product(c,b),B,bigC(c,a,b)) = bigC(product(c,b),B,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),B,bigC(c,a,b)))]]) ).

cnf(refute_0_1431,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),B,bigC(c,a,b)) != bigC(product(c,b),B,bigC(c,a,b))
    | bigC(product(c,b),B,bigC(c,a,b)) = bigC(product(c,b),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),bigC(product(c,b),B,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_1432,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),B,bigC(c,a,b)) = bigC(product(c,b),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),bigC(product(c,b),B,bigC(c,a,b))) )],[refute_0_1430,refute_0_1431]) ).

cnf(refute_0_1433,plain,
    bigC(product(c,b),B,bigC(c,a,b)) = bigC(product(c,b),B,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1432]) ).

cnf(refute_0_1434,plain,
    ( bigC(product(c,b),B,bigC(c,a,b)) != bigC(product(c,b),B,c)
    | bigC(product(c,b),B,bigC(c,a,b)) != product(product(c,B),bigC(b,a,b))
    | bigC(product(c,b),B,c) = product(product(c,B),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(c,B),bigC(b,a,b))) ),[0],$fot(bigC(product(c,b),B,c))]]) ).

cnf(refute_0_1435,plain,
    ( bigC(product(c,b),B,bigC(c,a,b)) != product(product(c,B),bigC(b,a,b))
    | bigC(product(c,b),B,c) = product(product(c,B),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),bigC(product(c,b),B,c)) )],[refute_0_1433,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    bigC(product(c,b),B,c) = product(product(c,B),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,bigC(c,a,b)),product(product(c,B),bigC(b,a,b))) )],[refute_0_1407,refute_0_1435]) ).

cnf(refute_0_1437,plain,
    ( bigC(product(c,b),B,c) != product(product(c,B),bigC(b,a,b))
    | product(product(c,B),bigC(b,a,b)) = bigC(product(c,b),B,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),B,c))),bind(Y,$fot(product(product(c,B),bigC(b,a,b))))]]) ).

cnf(refute_0_1438,plain,
    product(product(c,B),bigC(b,a,b)) = bigC(product(c,b),B,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,c),product(product(c,B),bigC(b,a,b))) )],[refute_0_1436,refute_0_1437]) ).

cnf(refute_0_1439,plain,
    product(product(c,X_71),bigC(b,a,b)) = bigC(product(c,b),X_71,c),
    inference(subst,[],[refute_0_1438:[bind(B,$fot(X_71))]]) ).

cnf(refute_0_1440,plain,
    ( product(product(c,X_71),bigC(b,a,b)) != bigC(product(c,b),X_71,c)
    | product(product(c,X_71),bigC(b,a,b)) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),X_71,c) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_71),bigC(b,a,b)),bigC(product(c,b),bigC(c,a,b),X_71)) ),[0],$fot(bigC(product(c,b),X_71,c))]]) ).

cnf(refute_0_1441,plain,
    ( product(product(c,X_71),bigC(b,a,b)) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),X_71,c) = bigC(product(c,b),bigC(c,a,b),X_71) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_71),bigC(b,a,b)),bigC(product(c,b),X_71,c)) )],[refute_0_1439,refute_0_1440]) ).

cnf(refute_0_1442,plain,
    bigC(product(c,b),bigC(c,a,b),X_71) = bigC(product(c,b),bigC(c,a,b),X_71),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),bigC(c,a,b),X_71))]]) ).

cnf(refute_0_1443,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),bigC(c,a,b),X_71) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),bigC(c,a,b),X_71) = bigC(product(c,b),c,X_71) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),X_71),bigC(product(c,b),bigC(c,a,b),X_71)) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1444,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),bigC(c,a,b),X_71) = bigC(product(c,b),c,X_71) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),X_71),bigC(product(c,b),bigC(c,a,b),X_71)) )],[refute_0_1442,refute_0_1443]) ).

cnf(refute_0_1445,plain,
    bigC(product(c,b),bigC(c,a,b),X_71) = bigC(product(c,b),c,X_71),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1444]) ).

cnf(refute_0_1446,plain,
    ( bigC(product(c,b),X_71,c) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),bigC(c,a,b),X_71) != bigC(product(c,b),c,X_71)
    | bigC(product(c,b),X_71,c) = bigC(product(c,b),c,X_71) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_71,c),bigC(product(c,b),c,X_71)) ),[0],$fot(bigC(product(c,b),bigC(c,a,b),X_71))]]) ).

cnf(refute_0_1447,plain,
    ( bigC(product(c,b),X_71,c) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),X_71,c) = bigC(product(c,b),c,X_71) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),X_71),bigC(product(c,b),c,X_71)) )],[refute_0_1445,refute_0_1446]) ).

cnf(refute_0_1448,plain,
    ( product(product(c,X_71),bigC(b,a,b)) != bigC(product(c,b),bigC(c,a,b),X_71)
    | bigC(product(c,b),X_71,c) = bigC(product(c,b),c,X_71) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_71,c),bigC(product(c,b),bigC(c,a,b),X_71)) )],[refute_0_1441,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    bigC(product(c,b),X_71,c) = bigC(product(c,b),c,X_71),
    inference(resolve,[$cnf( $equal(product(product(c,X_71),bigC(b,a,b)),bigC(product(c,b),bigC(c,a,b),X_71)) )],[refute_0_1429,refute_0_1448]) ).

cnf(refute_0_1450,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = product(product(difference(product(c,b),bigC(b,a,b)),X_18),bigC(b,a,b)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(bigC(b,a,b))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_1451,plain,
    difference(product(c,b),bigC(c,b,c)) = product(c,c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(b)),bind(X_19,$fot(c))]]) ).

cnf(refute_0_1452,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_1453,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_1370,refute_0_1452]) ).

cnf(refute_0_1454,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_1451,refute_0_1453]) ).

cnf(refute_0_1455,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_1456,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_219,refute_0_1455]) ).

cnf(refute_0_1457,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_1454,refute_0_1456]) ).

cnf(refute_0_1458,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != product(product(difference(product(c,b),bigC(b,a,b)),X_18),bigC(b,a,b))
    | difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = product(product(c,X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),product(product(difference(product(c,b),bigC(b,a,b)),X_18),bigC(b,a,b))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_1459,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != product(product(difference(product(c,b),bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = product(product(c,X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1457,refute_0_1458]) ).

cnf(refute_0_1460,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = product(product(c,X_18),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),product(product(difference(product(c,b),bigC(b,a,b)),X_18),bigC(b,a,b))) )],[refute_0_1450,refute_0_1459]) ).

cnf(refute_0_1461,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)))]]) ).

cnf(refute_0_1462,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b))
    | difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = bigC(c,X_18,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1463,plain,
    ( difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = bigC(c,X_18,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b))) )],[refute_0_1461,refute_0_1462]) ).

cnf(refute_0_1464,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) = bigC(c,X_18,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1457,refute_0_1463]) ).

cnf(refute_0_1465,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != bigC(c,X_18,product(c,b))
    | bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != product(product(c,X_18),bigC(b,a,b))
    | bigC(c,X_18,product(c,b)) = product(product(c,X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),product(product(c,X_18),bigC(b,a,b))) ),[0],$fot(bigC(c,X_18,product(c,b)))]]) ).

cnf(refute_0_1466,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != product(product(c,X_18),bigC(b,a,b))
    | bigC(c,X_18,product(c,b)) = product(product(c,X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),bigC(c,X_18,product(c,b))) )],[refute_0_1464,refute_0_1465]) ).

cnf(refute_0_1467,plain,
    product(product(c,X_18),bigC(b,a,b)) = bigC(product(c,b),X_18,c),
    inference(subst,[],[refute_0_1438:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_1468,plain,
    ( bigC(c,X_18,product(c,b)) != product(product(c,X_18),bigC(b,a,b))
    | product(product(c,X_18),bigC(b,a,b)) != bigC(product(c,b),X_18,c)
    | bigC(c,X_18,product(c,b)) = bigC(product(c,b),X_18,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(c,b)),bigC(product(c,b),X_18,c)) ),[0],$fot(product(product(c,X_18),bigC(b,a,b)))]]) ).

cnf(refute_0_1469,plain,
    ( bigC(c,X_18,product(c,b)) != product(product(c,X_18),bigC(b,a,b))
    | bigC(c,X_18,product(c,b)) = bigC(product(c,b),X_18,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),bigC(b,a,b)),bigC(product(c,b),X_18,c)) )],[refute_0_1467,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)) != product(product(c,X_18),bigC(b,a,b))
    | bigC(c,X_18,product(c,b)) = bigC(product(c,b),X_18,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(c,b)),product(product(c,X_18),bigC(b,a,b))) )],[refute_0_1466,refute_0_1469]) ).

cnf(refute_0_1471,plain,
    bigC(c,X_18,product(c,b)) = bigC(product(c,b),X_18,c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_18,product(c,b)),product(product(c,X_18),bigC(b,a,b))) )],[refute_0_1460,refute_0_1470]) ).

cnf(refute_0_1472,plain,
    ( bigC(c,X_18,product(c,b)) != bigC(product(c,b),X_18,c)
    | bigC(product(c,b),X_18,c) = bigC(c,X_18,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,X_18,product(c,b)))),bind(Y,$fot(bigC(product(c,b),X_18,c)))]]) ).

cnf(refute_0_1473,plain,
    bigC(product(c,b),X_18,c) = bigC(c,X_18,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(c,b)),bigC(product(c,b),X_18,c)) )],[refute_0_1471,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    bigC(product(c,b),X_71,c) = bigC(c,X_71,product(c,b)),
    inference(subst,[],[refute_0_1473:[bind(X_18,$fot(X_71))]]) ).

cnf(refute_0_1475,plain,
    ( bigC(product(c,b),X_71,c) != bigC(c,X_71,product(c,b))
    | bigC(product(c,b),X_71,c) != bigC(product(c,b),c,X_71)
    | bigC(c,X_71,product(c,b)) = bigC(product(c,b),c,X_71) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_71,c),bigC(product(c,b),c,X_71)) ),[0],$fot(bigC(c,X_71,product(c,b)))]]) ).

cnf(refute_0_1476,plain,
    ( bigC(product(c,b),X_71,c) != bigC(product(c,b),c,X_71)
    | bigC(c,X_71,product(c,b)) = bigC(product(c,b),c,X_71) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_71,c),bigC(c,X_71,product(c,b))) )],[refute_0_1474,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    bigC(c,X_71,product(c,b)) = bigC(product(c,b),c,X_71),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_71,c),bigC(product(c,b),c,X_71)) )],[refute_0_1449,refute_0_1476]) ).

cnf(refute_0_1478,plain,
    ( bigC(c,X_71,product(c,b)) != bigC(product(c,b),c,X_71)
    | bigC(product(c,b),c,X_71) = bigC(c,X_71,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,X_71,product(c,b)))),bind(Y,$fot(bigC(product(c,b),c,X_71)))]]) ).

cnf(refute_0_1479,plain,
    bigC(product(c,b),c,X_71) = bigC(c,X_71,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_71,product(c,b)),bigC(product(c,b),c,X_71)) )],[refute_0_1477,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    bigC(product(c,b),c,product(a,c)) = bigC(c,product(a,c),product(c,b)),
    inference(subst,[],[refute_0_1479:[bind(X_71,$fot(product(a,c)))]]) ).

cnf(refute_0_1481,plain,
    ( bigC(product(c,b),c,product(a,c)) != bigC(b,a,product(a,b))
    | bigC(product(c,b),c,product(a,c)) != bigC(c,product(a,c),product(c,b))
    | bigC(c,product(a,c),product(c,b)) = bigC(b,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),bigC(b,a,product(a,b))) ),[0],$fot(bigC(c,product(a,c),product(c,b)))]]) ).

cnf(refute_0_1482,plain,
    ( bigC(product(c,b),c,product(a,c)) != bigC(b,a,product(a,b))
    | bigC(c,product(a,c),product(c,b)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),bigC(c,product(a,c),product(c,b))) )],[refute_0_1480,refute_0_1481]) ).

cnf(refute_0_1483,plain,
    bigC(c,product(a,c),product(c,b)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(a,c)),bigC(b,a,product(a,b))) )],[refute_0_1383,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    ( bigC(c,product(a,c),product(c,b)) != bigC(b,a,product(a,b))
    | bigC(c,product(a,c),product(c,b)) != product(product(c,product(a,c)),product(product(c,b),c))
    | bigC(b,a,product(a,b)) = product(product(c,product(a,c)),product(product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,c),product(c,b)),product(product(c,product(a,c)),product(product(c,b),c))) ),[0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1485,plain,
    ( bigC(c,product(a,c),product(c,b)) != product(product(c,product(a,c)),product(product(c,b),c))
    | bigC(b,a,product(a,b)) = product(product(c,product(a,c)),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(c,b)),bigC(b,a,product(a,b))) )],[refute_0_1483,refute_0_1484]) ).

cnf(refute_0_1486,plain,
    bigC(b,a,product(a,b)) = product(product(c,product(a,c)),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(c,b)),product(product(c,product(a,c)),product(product(c,b),c))) )],[refute_0_1033,refute_0_1485]) ).

cnf(refute_0_1487,plain,
    bigC(c,product(a,b),c) = bigC(c,c,product(a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_1488,plain,
    product(product(c,product(a,b)),c) = bigC(c,product(a,b),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_1489,plain,
    ( bigC(c,product(a,b),c) != bigC(c,c,product(a,b))
    | product(product(c,product(a,b)),c) != bigC(c,product(a,b),c)
    | product(product(c,product(a,b)),c) = bigC(c,c,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,b)),c))),bind(Y,$fot(bigC(c,product(a,b),c))),bind(Z,$fot(bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_1490,plain,
    ( bigC(c,product(a,b),c) != bigC(c,c,product(a,b))
    | product(product(c,product(a,b)),c) = bigC(c,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),c),bigC(c,product(a,b),c)) )],[refute_0_1488,refute_0_1489]) ).

cnf(refute_0_1491,plain,
    product(product(c,product(a,b)),c) = bigC(c,c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(c,c,product(a,b))) )],[refute_0_1487,refute_0_1490]) ).

cnf(refute_0_1492,plain,
    product(product(c,c),product(product(a,b),c)) = product(product(c,product(a,b)),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(c)),bind(X_24,$fot(product(a,b))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_1493,plain,
    ( product(product(c,c),product(product(a,b),c)) != product(product(c,product(a,b)),c)
    | product(product(c,product(a,b)),c) != bigC(c,c,product(a,b))
    | product(product(c,c),product(product(a,b),c)) = bigC(c,c,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(a,b),c)))),bind(Y,$fot(product(product(c,product(a,b)),c))),bind(Z,$fot(bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_1494,plain,
    ( product(product(c,product(a,b)),c) != bigC(c,c,product(a,b))
    | product(product(c,c),product(product(a,b),c)) = bigC(c,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),c)),product(product(c,product(a,b)),c)) )],[refute_0_1492,refute_0_1493]) ).

cnf(refute_0_1495,plain,
    product(product(c,c),product(product(a,b),c)) = bigC(c,c,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),c),bigC(c,c,product(a,b))) )],[refute_0_1491,refute_0_1494]) ).

cnf(refute_0_1496,plain,
    product(product(A,C),product(product(B,D),X_67)) = product(product(product(A,C),product(B,D)),product(product(A,C),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(A,C))),bind(X_25,$fot(product(B,D))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_1497,plain,
    ( product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | product(product(A,C),product(product(B,D),X_67)) != product(product(product(A,C),product(B,D)),product(product(A,C),X_67))
    | product(product(A,C),product(product(B,D),X_67)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(product(B,D),X_67)),product(product(product(A,C),product(B,D)),product(product(A,C),X_67))) ),[1,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_1498,plain,
    ( product(product(A,C),product(product(B,D),X_67)) != product(product(product(A,C),product(B,D)),product(product(A,C),X_67))
    | product(product(A,C),product(product(B,D),X_67)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_1497]) ).

cnf(refute_0_1499,plain,
    product(product(A,C),product(product(B,D),X_67)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_67)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_67)),product(product(product(A,C),product(B,D)),product(product(A,C),X_67))) )],[refute_0_1496,refute_0_1498]) ).

cnf(refute_0_1500,plain,
    product(product(product(A,B),product(C,D)),product(product(A,C),X_67)) = product(product(A,product(B,C)),product(product(C,D),X_67)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(product(C,D))),bind(D,$fot(X_67)),bind(X_65,$fot(A)),bind(X_66,$fot(B)),bind(X_67,$fot(C))]]) ).

cnf(refute_0_1501,plain,
    ( product(product(A,C),product(product(B,D),X_67)) != product(product(product(A,B),product(C,D)),product(product(A,C),X_67))
    | product(product(product(A,B),product(C,D)),product(product(A,C),X_67)) != product(product(A,product(B,C)),product(product(C,D),X_67))
    | product(product(A,C),product(product(B,D),X_67)) = product(product(A,product(B,C)),product(product(C,D),X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(A,C),product(product(B,D),X_67)),product(product(A,product(B,C)),product(product(C,D),X_67))) ),[0],$fot(product(product(product(A,B),product(C,D)),product(product(A,C),X_67)))]]) ).

cnf(refute_0_1502,plain,
    ( product(product(A,C),product(product(B,D),X_67)) != product(product(product(A,B),product(C,D)),product(product(A,C),X_67))
    | product(product(A,C),product(product(B,D),X_67)) = product(product(A,product(B,C)),product(product(C,D),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),product(product(A,C),X_67)),product(product(A,product(B,C)),product(product(C,D),X_67))) )],[refute_0_1500,refute_0_1501]) ).

cnf(refute_0_1503,plain,
    product(product(A,C),product(product(B,D),X_67)) = product(product(A,product(B,C)),product(product(C,D),X_67)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_67)),product(product(product(A,B),product(C,D)),product(product(A,C),X_67))) )],[refute_0_1499,refute_0_1502]) ).

cnf(refute_0_1504,plain,
    ( product(product(A,C),product(product(B,D),X_67)) != product(product(A,product(B,C)),product(product(C,D),X_67))
    | product(product(A,product(B,C)),product(product(C,D),X_67)) = product(product(A,C),product(product(B,D),X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,C),product(product(B,D),X_67)))),bind(Y,$fot(product(product(A,product(B,C)),product(product(C,D),X_67))))]]) ).

cnf(refute_0_1505,plain,
    product(product(A,product(B,C)),product(product(C,D),X_67)) = product(product(A,C),product(product(B,D),X_67)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_67)),product(product(A,product(B,C)),product(product(C,D),X_67))) )],[refute_0_1503,refute_0_1504]) ).

cnf(refute_0_1506,plain,
    product(product(c,product(a,c)),product(product(c,b),c)) = product(product(c,c),product(product(a,b),c)),
    inference(subst,[],[refute_0_1505:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_1507,plain,
    ( product(product(c,c),product(product(a,b),c)) != bigC(c,c,product(a,b))
    | product(product(c,product(a,c)),product(product(c,b),c)) != product(product(c,c),product(product(a,b),c))
    | product(product(c,product(a,c)),product(product(c,b),c)) = bigC(c,c,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,c)),product(product(c,b),c)))),bind(Y,$fot(product(product(c,c),product(product(a,b),c)))),bind(Z,$fot(bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_1508,plain,
    ( product(product(c,c),product(product(a,b),c)) != bigC(c,c,product(a,b))
    | product(product(c,product(a,c)),product(product(c,b),c)) = bigC(c,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),product(product(c,b),c)),product(product(c,c),product(product(a,b),c))) )],[refute_0_1506,refute_0_1507]) ).

cnf(refute_0_1509,plain,
    product(product(c,product(a,c)),product(product(c,b),c)) = bigC(c,c,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),c)),bigC(c,c,product(a,b))) )],[refute_0_1495,refute_0_1508]) ).

cnf(refute_0_1510,plain,
    ( bigC(b,a,product(a,b)) != product(product(c,product(a,c)),product(product(c,b),c))
    | product(product(c,product(a,c)),product(product(c,b),c)) != bigC(c,c,product(a,b))
    | bigC(b,a,product(a,b)) = bigC(c,c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,product(a,b)),bigC(c,c,product(a,b))) ),[0],$fot(product(product(c,product(a,c)),product(product(c,b),c)))]]) ).

cnf(refute_0_1511,plain,
    ( bigC(b,a,product(a,b)) != product(product(c,product(a,c)),product(product(c,b),c))
    | bigC(b,a,product(a,b)) = bigC(c,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),product(product(c,b),c)),bigC(c,c,product(a,b))) )],[refute_0_1509,refute_0_1510]) ).

cnf(refute_0_1512,plain,
    bigC(b,a,product(a,b)) = bigC(c,c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(product(c,product(a,c)),product(product(c,b),c))) )],[refute_0_1486,refute_0_1511]) ).

cnf(refute_0_1513,plain,
    ( bigC(b,a,product(a,b)) != bigC(c,c,product(a,b))
    | bigC(c,c,product(a,b)) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,product(a,b)))),bind(Y,$fot(bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_1514,plain,
    bigC(c,c,product(a,b)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(c,c,product(a,b))) )],[refute_0_1512,refute_0_1513]) ).

cnf(refute_0_1515,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | bigC(c,product(a,b),c) != bigC(c,c,product(a,b))
    | bigC(c,product(a,b),c) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,b),c))),bind(Y,$fot(bigC(c,c,product(a,b)))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_1516,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | bigC(c,product(a,b),c) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(c,c,product(a,b))) )],[refute_0_1487,refute_0_1515]) ).

cnf(refute_0_1517,plain,
    bigC(c,product(a,b),c) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1514,refute_0_1516]) ).

cnf(refute_0_1518,plain,
    product(c,bigC(c,product(a,b),c)) = product(c,bigC(c,product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,product(a,b),c)))]]) ).

cnf(refute_0_1519,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | product(c,bigC(c,product(a,b),c)) != product(c,bigC(c,product(a,b),c))
    | product(c,bigC(c,product(a,b),c)) = product(c,bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,product(a,b),c)),product(c,bigC(c,product(a,b),c))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1520,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | product(c,bigC(c,product(a,b),c)) = product(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(a,b),c)),product(c,bigC(c,product(a,b),c))) )],[refute_0_1518,refute_0_1519]) ).

cnf(refute_0_1521,plain,
    product(c,bigC(c,product(a,b),c)) = product(c,bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(b,a,product(a,b))) )],[refute_0_1517,refute_0_1520]) ).

cnf(refute_0_1522,plain,
    bigC(c,c,product(c,product(a,b))) = product(c,bigC(c,product(a,b),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(a,b))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_1523,plain,
    bigC(c,X_18,quotient(bigC(b,a,product(a,b)),c)) = product(product(c,X_18),bigC(b,a,product(a,b))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(bigC(b,a,product(a,b)))),bind(X_17,$fot(c))]]) ).

cnf(refute_0_1524,plain,
    quotient(bigC(c,c,product(a,b)),c) = product(c,product(a,b)),
    inference(subst,[],[refute_0_250:[bind(B,$fot(c)),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_1525,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | quotient(bigC(c,c,product(a,b)),c) != product(c,product(a,b))
    | quotient(bigC(b,a,product(a,b)),c) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,c,product(a,b)),c),product(c,product(a,b))) ),[0,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1526,plain,
    ( quotient(bigC(c,c,product(a,b)),c) != product(c,product(a,b))
    | quotient(bigC(b,a,product(a,b)),c) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1514,refute_0_1525]) ).

cnf(refute_0_1527,plain,
    quotient(bigC(b,a,product(a,b)),c) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,c,product(a,b)),c),product(c,product(a,b))) )],[refute_0_1524,refute_0_1526]) ).

cnf(refute_0_1528,plain,
    ( bigC(c,X_18,quotient(bigC(b,a,product(a,b)),c)) != product(product(c,X_18),bigC(b,a,product(a,b)))
    | quotient(bigC(b,a,product(a,b)),c) != product(c,product(a,b))
    | bigC(c,X_18,product(c,product(a,b))) = product(product(c,X_18),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,quotient(bigC(b,a,product(a,b)),c)),product(product(c,X_18),bigC(b,a,product(a,b)))) ),[0,2],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_1529,plain,
    ( bigC(c,X_18,quotient(bigC(b,a,product(a,b)),c)) != product(product(c,X_18),bigC(b,a,product(a,b)))
    | bigC(c,X_18,product(c,product(a,b))) = product(product(c,X_18),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),c),product(c,product(a,b))) )],[refute_0_1527,refute_0_1528]) ).

cnf(refute_0_1530,plain,
    bigC(c,X_18,product(c,product(a,b))) = product(product(c,X_18),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,quotient(bigC(b,a,product(a,b)),c)),product(product(c,X_18),bigC(b,a,product(a,b)))) )],[refute_0_1523,refute_0_1529]) ).

cnf(refute_0_1531,plain,
    ( bigC(c,X_18,product(c,product(a,b))) != product(product(c,X_18),bigC(b,a,product(a,b)))
    | product(product(c,X_18),bigC(b,a,product(a,b))) = bigC(c,X_18,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,X_18,product(c,product(a,b))))),bind(Y,$fot(product(product(c,X_18),bigC(b,a,product(a,b)))))]]) ).

cnf(refute_0_1532,plain,
    product(product(c,X_18),bigC(b,a,product(a,b))) = bigC(c,X_18,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(c,product(a,b))),product(product(c,X_18),bigC(b,a,product(a,b)))) )],[refute_0_1530,refute_0_1531]) ).

cnf(refute_0_1533,plain,
    product(product(c,c),bigC(b,a,product(a,b))) = bigC(c,c,product(c,product(a,b))),
    inference(subst,[],[refute_0_1532:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_1534,plain,
    ( bigC(c,c,product(c,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | product(product(c,c),bigC(b,a,product(a,b))) != bigC(c,c,product(c,product(a,b)))
    | product(product(c,c),bigC(b,a,product(a,b))) = product(c,bigC(c,product(a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),bigC(b,a,product(a,b))))),bind(Y,$fot(bigC(c,c,product(c,product(a,b))))),bind(Z,$fot(product(c,bigC(c,product(a,b),c))))]]) ).

cnf(refute_0_1535,plain,
    ( bigC(c,c,product(c,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | product(product(c,c),bigC(b,a,product(a,b))) = product(c,bigC(c,product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,a,product(a,b))),bigC(c,c,product(c,product(a,b)))) )],[refute_0_1533,refute_0_1534]) ).

cnf(refute_0_1536,plain,
    product(product(c,c),bigC(b,a,product(a,b))) = product(c,bigC(c,product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(a,b))),product(c,bigC(c,product(a,b),c))) )],[refute_0_1522,refute_0_1535]) ).

cnf(refute_0_1537,plain,
    product(product(A,product(c,a)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),bigC(b,b,c))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,a))),bind(D,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_1538,plain,
    ( product(product(A,product(c,a)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),bigC(b,b,c)))
    | product(product(c,a),bigC(b,b,c)) != bigC(b,a,product(a,b))
    | product(product(A,product(c,a)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,a)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),bigC(b,b,c)))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1539,plain,
    ( product(product(A,product(c,a)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),bigC(b,b,c)))
    | product(product(A,product(c,a)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),bigC(b,a,product(a,b))) )],[refute_0_1380,refute_0_1538]) ).

cnf(refute_0_1540,plain,
    product(product(A,product(c,a)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,a)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),bigC(b,b,c)))) )],[refute_0_1537,refute_0_1539]) ).

cnf(refute_0_1541,plain,
    product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(product(c,c),bigC(b,a,product(a,b))),
    inference(subst,[],[refute_0_1540:[bind(A,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_1542,plain,
    ( product(product(c,c),bigC(b,a,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) != product(product(c,c),bigC(b,a,product(a,b)))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(c,product(a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),product(c,bigC(b,b,c))))),bind(Y,$fot(product(product(c,c),bigC(b,a,product(a,b))))),bind(Z,$fot(product(c,bigC(c,product(a,b),c))))]]) ).

cnf(refute_0_1543,plain,
    ( product(product(c,c),bigC(b,a,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(c,product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,bigC(b,b,c))),product(product(c,c),bigC(b,a,product(a,b)))) )],[refute_0_1541,refute_0_1542]) ).

cnf(refute_0_1544,plain,
    product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(c,product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,a,product(a,b))),product(c,bigC(c,product(a,b),c))) )],[refute_0_1536,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    ( product(c,bigC(c,product(a,b),c)) != product(c,bigC(b,a,product(a,b)))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) != product(c,bigC(c,product(a,b),c))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(b,a,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),product(c,bigC(b,b,c))))),bind(Y,$fot(product(c,bigC(c,product(a,b),c)))),bind(Z,$fot(product(c,bigC(b,a,product(a,b)))))]]) ).

cnf(refute_0_1546,plain,
    ( product(c,bigC(c,product(a,b),c)) != product(c,bigC(b,a,product(a,b)))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,bigC(b,b,c))),product(c,bigC(c,product(a,b),c))) )],[refute_0_1544,refute_0_1545]) ).

cnf(refute_0_1547,plain,
    product(product(c,product(c,a)),product(c,bigC(b,b,c))) = product(c,bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(a,b),c)),product(c,bigC(b,a,product(a,b)))) )],[refute_0_1521,refute_0_1546]) ).

cnf(refute_0_1548,plain,
    ( product(c,product(c,product(c,product(c,b)))) != product(product(c,product(c,a)),product(c,bigC(b,b,c)))
    | product(product(c,product(c,a)),product(c,bigC(b,b,c))) != product(c,bigC(b,a,product(a,b)))
    | product(c,product(c,product(c,product(c,b)))) = product(c,bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,product(c,product(c,b)))),product(c,bigC(b,a,product(a,b)))) ),[0],$fot(product(product(c,product(c,a)),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_1549,plain,
    ( product(c,product(c,product(c,product(c,b)))) != product(product(c,product(c,a)),product(c,bigC(b,b,c)))
    | product(c,product(c,product(c,product(c,b)))) = product(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,bigC(b,b,c))),product(c,bigC(b,a,product(a,b)))) )],[refute_0_1547,refute_0_1548]) ).

cnf(refute_0_1550,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(c,bigC(b,b,c)))
    | product(c,product(c,product(c,product(c,b)))) = product(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,product(c,b)))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) )],[refute_0_1032,refute_0_1549]) ).

cnf(refute_0_1551,plain,
    product(c,product(c,product(c,product(c,b)))) = product(c,bigC(b,a,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))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) )],[refute_0_925,refute_0_1550]) ).

cnf(refute_0_1552,plain,
    ( difference(c,product(c,product(c,product(c,product(c,b))))) != product(c,product(c,product(c,b)))
    | product(c,product(c,product(c,product(c,b)))) != product(c,bigC(b,a,product(a,b)))
    | difference(c,product(c,bigC(b,a,product(a,b)))) = product(c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(c,product(c,product(c,b))))),product(c,product(c,product(c,b)))) ),[0,1],$fot(product(c,bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_1553,plain,
    ( difference(c,product(c,product(c,product(c,product(c,b))))) != product(c,product(c,product(c,b)))
    | difference(c,product(c,bigC(b,a,product(a,b)))) = product(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,product(c,b)))),product(c,bigC(b,a,product(a,b)))) )],[refute_0_1551,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    difference(c,product(c,bigC(b,a,product(a,b)))) = product(c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(c,product(c,product(c,b))))),product(c,product(c,product(c,b)))) )],[refute_0_893,refute_0_1553]) ).

cnf(refute_0_1555,plain,
    difference(c,product(c,bigC(b,a,product(a,b)))) = bigC(b,a,product(a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_1556,plain,
    ( difference(c,product(c,bigC(b,a,product(a,b)))) != bigC(b,a,product(a,b))
    | difference(c,product(c,bigC(b,a,product(a,b)))) != product(c,product(c,product(c,b)))
    | bigC(b,a,product(a,b)) = product(c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,bigC(b,a,product(a,b)))),product(c,product(c,product(c,b)))) ),[0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1557,plain,
    ( difference(c,product(c,bigC(b,a,product(a,b)))) != product(c,product(c,product(c,b)))
    | bigC(b,a,product(a,b)) = product(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(b,a,product(a,b)))),bigC(b,a,product(a,b))) )],[refute_0_1555,refute_0_1556]) ).

cnf(refute_0_1558,plain,
    bigC(b,a,product(a,b)) = product(c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(b,a,product(a,b)))),product(c,product(c,product(c,b)))) )],[refute_0_1554,refute_0_1557]) ).

cnf(refute_0_1559,plain,
    ( bigC(b,a,product(a,b)) != product(c,product(c,product(c,b)))
    | product(c,product(c,product(c,b))) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,product(a,b)))),bind(Y,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_1560,plain,
    product(c,product(c,product(c,b))) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(c,product(c,product(c,b)))) )],[refute_0_1558,refute_0_1559]) ).

cnf(refute_0_1561,plain,
    ( product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | quotient(product(c,product(c,product(c,b))),c) != product(c,quotient(product(c,product(c,b)),c))
    | quotient(bigC(b,a,product(a,b)),c) = product(c,quotient(product(c,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,product(c,b))),c),product(c,quotient(product(c,product(c,b)),c))) ),[0,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_1562,plain,
    ( quotient(product(c,product(c,product(c,b))),c) != product(c,quotient(product(c,product(c,b)),c))
    | quotient(bigC(b,a,product(a,b)),c) = product(c,quotient(product(c,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    quotient(bigC(b,a,product(a,b)),c) = product(c,quotient(product(c,product(c,b)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,product(c,b))),c),product(c,quotient(product(c,product(c,b)),c))) )],[refute_0_892,refute_0_1562]) ).

cnf(refute_0_1564,plain,
    ( quotient(bigC(b,a,product(a,b)),c) != product(c,product(a,b))
    | quotient(bigC(b,a,product(a,b)),c) != product(c,quotient(product(c,product(c,b)),c))
    | product(c,product(a,b)) = product(c,quotient(product(c,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),c),product(c,quotient(product(c,product(c,b)),c))) ),[0],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_1565,plain,
    ( quotient(bigC(b,a,product(a,b)),c) != product(c,quotient(product(c,product(c,b)),c))
    | product(c,product(a,b)) = product(c,quotient(product(c,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),c),product(c,product(a,b))) )],[refute_0_1527,refute_0_1564]) ).

cnf(refute_0_1566,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_1052:[bind(X_52,$fot(bigC(b,a,b))),bind(X_53,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_1567,plain,
    bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(b,a,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(bigC(b,a,b))),bind(X_18,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_1568,plain,
    product(product(c,a),difference(product(c,a),product(c,product(c,a)))) = product(c,product(c,a)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(c,a))),bind(B,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_1569,plain,
    difference(product(c,a),bigC(product(c,a),product(b,c),product(c,a))) = product(product(b,c),product(c,a)),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(product(c,a))),bind(X_53,$fot(product(b,c)))]]) ).

cnf(refute_0_1570,plain,
    ( bigC(product(c,a),product(b,c),product(c,a)) != product(c,product(product(c,a),product(c,a)))
    | difference(product(c,a),bigC(product(c,a),product(b,c),product(c,a))) != product(product(b,c),product(c,a))
    | difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),bigC(product(c,a),product(b,c),product(c,a))),product(product(b,c),product(c,a))) ),[0,1],$fot(product(c,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_1571,plain,
    ( difference(product(c,a),bigC(product(c,a),product(b,c),product(c,a))) != product(product(b,c),product(c,a))
    | difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(c,a)),product(c,product(product(c,a),product(c,a)))) )],[refute_0_779,refute_0_1570]) ).

cnf(refute_0_1572,plain,
    difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(product(c,a),product(b,c),product(c,a))),product(product(b,c),product(c,a))) )],[refute_0_1569,refute_0_1571]) ).

cnf(refute_0_1573,plain,
    product(c,product(a,a)) = product(c,product(a,a)),
    introduced(tautology,[refl,[$fot(product(c,product(a,a)))]]) ).

cnf(refute_0_1574,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_1575,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_1573,refute_0_1574]) ).

cnf(refute_0_1576,plain,
    product(c,product(a,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_1575]) ).

cnf(refute_0_1577,plain,
    product(product(c,a),product(c,a)) = product(c,product(a,a)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_1578,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_32:[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_1579,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_1577,refute_0_1578]) ).

cnf(refute_0_1580,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_1576,refute_0_1579]) ).

cnf(refute_0_1581,plain,
    product(c,product(product(c,a),product(c,a))) = product(c,product(product(c,a),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_1582,plain,
    ( product(c,product(product(c,a),product(c,a))) != product(c,product(product(c,a),product(c,a)))
    | product(product(c,a),product(c,a)) != product(c,a)
    | product(c,product(product(c,a),product(c,a))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),product(c,a))),product(c,product(product(c,a),product(c,a)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_1583,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | product(c,product(product(c,a),product(c,a))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(c,a))),product(c,product(product(c,a),product(c,a)))) )],[refute_0_1581,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    product(c,product(product(c,a),product(c,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,a)) )],[refute_0_1580,refute_0_1583]) ).

cnf(refute_0_1585,plain,
    difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = difference(product(c,a),product(c,product(product(c,a),product(c,a)))),
    introduced(tautology,[refl,[$fot(difference(product(c,a),product(c,product(product(c,a),product(c,a)))))]]) ).

cnf(refute_0_1586,plain,
    ( difference(product(c,a),product(c,product(product(c,a),product(c,a)))) != difference(product(c,a),product(c,product(product(c,a),product(c,a))))
    | product(c,product(product(c,a),product(c,a))) != product(c,product(c,a))
    | difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = difference(product(c,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(c,product(product(c,a),product(c,a)))),difference(product(c,a),product(c,product(product(c,a),product(c,a))))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_1587,plain,
    ( product(c,product(product(c,a),product(c,a))) != product(c,product(c,a))
    | difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = difference(product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(product(c,a),product(c,a)))),difference(product(c,a),product(c,product(product(c,a),product(c,a))))) )],[refute_0_1585,refute_0_1586]) ).

cnf(refute_0_1588,plain,
    difference(product(c,a),product(c,product(product(c,a),product(c,a)))) = difference(product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(c,a))),product(c,product(c,a))) )],[refute_0_1584,refute_0_1587]) ).

cnf(refute_0_1589,plain,
    ( difference(product(c,a),product(c,product(product(c,a),product(c,a)))) != difference(product(c,a),product(c,product(c,a)))
    | difference(product(c,a),product(c,product(product(c,a),product(c,a)))) != product(product(b,c),product(c,a))
    | difference(product(c,a),product(c,product(c,a))) = product(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(c,product(product(c,a),product(c,a)))),product(product(b,c),product(c,a))) ),[0],$fot(difference(product(c,a),product(c,product(c,a))))]]) ).

cnf(refute_0_1590,plain,
    ( difference(product(c,a),product(c,product(product(c,a),product(c,a)))) != product(product(b,c),product(c,a))
    | difference(product(c,a),product(c,product(c,a))) = product(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(product(c,a),product(c,a)))),difference(product(c,a),product(c,product(c,a)))) )],[refute_0_1588,refute_0_1589]) ).

cnf(refute_0_1591,plain,
    difference(product(c,a),product(c,product(c,a))) = product(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(product(c,a),product(c,a)))),product(product(b,c),product(c,a))) )],[refute_0_1572,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    ( difference(product(c,a),product(c,product(c,a))) != product(product(b,c),product(c,a))
    | product(product(c,a),difference(product(c,a),product(c,product(c,a)))) != product(c,product(c,a))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(c,a),product(c,product(c,a)))),product(c,product(c,a))) ),[0,1],$fot(product(product(b,c),product(c,a)))]]) ).

cnf(refute_0_1593,plain,
    ( product(product(c,a),difference(product(c,a),product(c,product(c,a)))) != product(c,product(c,a))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(c,a))),product(product(b,c),product(c,a))) )],[refute_0_1591,refute_0_1592]) ).

cnf(refute_0_1594,plain,
    product(product(c,a),product(product(b,c),product(c,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(c,a),product(c,product(c,a)))),product(c,product(c,a))) )],[refute_0_1568,refute_0_1593]) ).

cnf(refute_0_1595,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_32:[bind(X,$fot(bigC(c,c,b))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1596,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_647,refute_0_1595]) ).

cnf(refute_0_1597,plain,
    bigC(c,c,b) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_1596]) ).

cnf(refute_0_1598,plain,
    product(bigC(c,c,b),bigC(a,a,c)) = product(bigC(c,c,b),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,b),bigC(a,a,c)))]]) ).

cnf(refute_0_1599,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),bigC(a,a,c)) != product(bigC(c,c,b),bigC(a,a,c))
    | product(bigC(c,c,b),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,c)),product(bigC(c,c,b),bigC(a,a,c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1600,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,c)),product(bigC(c,c,b),bigC(a,a,c))) )],[refute_0_1598,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    product(bigC(c,c,b),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_1597,refute_0_1600]) ).

cnf(refute_0_1602,plain,
    product(product(c,product(b,c)),bigC(a,a,c)) = product(bigC(c,c,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_1603,plain,
    product(product(c,a),product(product(b,c),product(c,a))) = product(product(c,product(b,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(b,c))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_1604,plain,
    ( product(product(c,a),product(product(b,c),product(c,a))) != product(product(c,product(b,c)),bigC(a,a,c))
    | product(product(c,product(b,c)),bigC(a,a,c)) != product(bigC(c,c,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(c,c,b),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(b,c),product(c,a))))),bind(Y,$fot(product(product(c,product(b,c)),bigC(a,a,c)))),bind(Z,$fot(product(bigC(c,c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_1605,plain,
    ( product(product(c,product(b,c)),bigC(a,a,c)) != product(bigC(c,c,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(c,c,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),product(c,a))),product(product(c,product(b,c)),bigC(a,a,c))) )],[refute_0_1603,refute_0_1604]) ).

cnf(refute_0_1606,plain,
    product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(c,c,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,c)),bigC(a,a,c)),product(bigC(c,c,b),bigC(a,a,c))) )],[refute_0_1602,refute_0_1605]) ).

cnf(refute_0_1607,plain,
    ( product(bigC(c,c,b),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) != product(bigC(c,c,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(b,c),product(c,a))))),bind(Y,$fot(product(bigC(c,c,b),bigC(a,a,c)))),bind(Z,$fot(product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_1608,plain,
    ( product(bigC(c,c,b),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),product(c,a))),product(bigC(c,c,b),bigC(a,a,c))) )],[refute_0_1606,refute_0_1607]) ).

cnf(refute_0_1609,plain,
    product(product(c,a),product(product(b,c),product(c,a))) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_1601,refute_0_1608]) ).

cnf(refute_0_1610,plain,
    ( product(product(c,a),product(product(b,c),product(c,a))) != product(bigC(b,a,b),bigC(a,a,c))
    | product(product(c,a),product(product(b,c),product(c,a))) != product(c,product(c,a))
    | product(bigC(b,a,b),bigC(a,a,c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(b,c),product(c,a))),product(c,product(c,a))) ),[0],$fot(product(bigC(b,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_1611,plain,
    ( product(product(c,a),product(product(b,c),product(c,a))) != product(c,product(c,a))
    | product(bigC(b,a,b),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),product(c,a))),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_1609,refute_0_1610]) ).

cnf(refute_0_1612,plain,
    product(bigC(b,a,b),bigC(a,a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),product(c,a))),product(c,product(c,a))) )],[refute_0_1594,refute_0_1611]) ).

cnf(refute_0_1613,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(b,a,b))
    | product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(product(c,product(c,a)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(b,a,b))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_1614,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(product(c,product(c,a)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_1613]) ).

cnf(refute_0_1615,plain,
    bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(product(c,product(c,a)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_1567,refute_0_1614]) ).

cnf(refute_0_1616,plain,
    product(quotient(c,bigC(c,a,c)),bigC(c,a,c)) = c,
    inference(subst,[],[refute_0_52:[bind(A,$fot(c)),bind(B,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_1617,plain,
    quotient(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = product(bigC(c,a,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_246:[bind(B,$fot(bigC(c,a,c))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_1618,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_50:[bind(X_17,$fot(bigC(c,a,c))),bind(X_18,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_1619,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_1620,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_965,refute_0_1619]) ).

cnf(refute_0_1621,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_1618,refute_0_1620]) ).

cnf(refute_0_1622,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_1623,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_1624,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_1622,refute_0_1623]) ).

cnf(refute_0_1625,plain,
    bigC(c,b,product(a,a)) = bigC(c,b,a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_1624]) ).

cnf(refute_0_1626,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_1627,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_1628,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_1626,refute_0_1627]) ).

cnf(refute_0_1629,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_219,refute_0_1628]) ).

cnf(refute_0_1630,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_32:[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_1631,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_1629,refute_0_1630]) ).

cnf(refute_0_1632,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_1625,refute_0_1631]) ).

cnf(refute_0_1633,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_32:[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_1634,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_1632,refute_0_1633]) ).

cnf(refute_0_1635,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_124,refute_0_1634]) ).

cnf(refute_0_1636,plain,
    bigC(product(c,c),product(a,a),b) = bigC(product(c,c),b,product(a,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,c))),bind(B,$fot(b)),bind(C,$fot(product(a,a)))]]) ).

cnf(refute_0_1637,plain,
    product(product(product(c,a),b),bigC(c,a,c)) = bigC(product(c,c),product(a,a),b),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(b)),bind(X_23,$fot(c)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_1638,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_32:[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_1639,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_1637,refute_0_1638]) ).

cnf(refute_0_1640,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_1636,refute_0_1639]) ).

cnf(refute_0_1641,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_32:[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_1642,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_1640,refute_0_1641]) ).

cnf(refute_0_1643,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_1635,refute_0_1642]) ).

cnf(refute_0_1644,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_1645,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_1643,refute_0_1644]) ).

cnf(refute_0_1646,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_1621,refute_0_1645]) ).

cnf(refute_0_1647,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(c,a,b)
    | quotient(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | quotient(bigC(c,a,b),bigC(c,a,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),product(bigC(c,a,c),bigC(b,b,c))) ),[0,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_1648,plain,
    ( quotient(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | quotient(bigC(c,a,b),bigC(c,a,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,b)) )],[refute_0_1646,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    quotient(bigC(c,a,b),bigC(c,a,c)) = product(bigC(c,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),product(bigC(c,a,c),bigC(b,b,c))) )],[refute_0_1617,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | quotient(bigC(c,a,b),bigC(c,a,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | quotient(bigC(c,a,b),bigC(c,a,c)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),product(bigC(c,a,c),bigC(b,b,c))) ),[1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1651,plain,
    ( quotient(bigC(c,a,b),bigC(c,a,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | quotient(bigC(c,a,b),bigC(c,a,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) )],[refute_0_965,refute_0_1650]) ).

cnf(refute_0_1652,plain,
    quotient(bigC(c,a,b),bigC(c,a,c)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),product(bigC(c,a,c),bigC(b,b,c))) )],[refute_0_1649,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    quotient(bigC(c,a,b),bigC(c,a,c)) = quotient(bigC(c,a,b),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_1654,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),bigC(c,a,c)) != quotient(bigC(c,a,b),bigC(c,a,c))
    | quotient(bigC(c,a,b),bigC(c,a,c)) = quotient(c,bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),quotient(bigC(c,a,b),bigC(c,a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1655,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),bigC(c,a,c)) = quotient(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),quotient(bigC(c,a,b),bigC(c,a,c))) )],[refute_0_1653,refute_0_1654]) ).

cnf(refute_0_1656,plain,
    quotient(bigC(c,a,b),bigC(c,a,c)) = quotient(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1655]) ).

cnf(refute_0_1657,plain,
    ( quotient(bigC(c,a,b),bigC(c,a,c)) != product(product(c,a),b)
    | quotient(bigC(c,a,b),bigC(c,a,c)) != quotient(c,bigC(c,a,c))
    | quotient(c,bigC(c,a,c)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),product(product(c,a),b)) ),[0],$fot(quotient(c,bigC(c,a,c)))]]) ).

cnf(refute_0_1658,plain,
    ( quotient(bigC(c,a,b),bigC(c,a,c)) != product(product(c,a),b)
    | quotient(c,bigC(c,a,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),quotient(c,bigC(c,a,c))) )],[refute_0_1656,refute_0_1657]) ).

cnf(refute_0_1659,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(c,bigC(c,a,c)) != product(product(c,a),b)
    | quotient(c,bigC(c,a,c)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,a,c)),product(product(c,a),b)) ),[1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1660,plain,
    ( quotient(c,bigC(c,a,c)) != product(product(c,a),b)
    | quotient(c,bigC(c,a,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_1659]) ).

cnf(refute_0_1661,plain,
    ( quotient(bigC(c,a,b),bigC(c,a,c)) != product(product(c,a),b)
    | quotient(c,bigC(c,a,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,a,c)),product(product(c,a),b)) )],[refute_0_1658,refute_0_1660]) ).

cnf(refute_0_1662,plain,
    quotient(c,bigC(c,a,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),product(product(c,a),b)) )],[refute_0_1652,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    ( product(quotient(c,bigC(c,a,c)),bigC(c,a,c)) != c
    | quotient(c,bigC(c,a,c)) != product(c,product(c,b))
    | product(product(c,product(c,b)),bigC(c,a,c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(c,a,c)),bigC(c,a,c)),c) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1664,plain,
    ( product(quotient(c,bigC(c,a,c)),bigC(c,a,c)) != c
    | product(product(c,product(c,b)),bigC(c,a,c)) = c ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,a,c)),product(c,product(c,b))) )],[refute_0_1662,refute_0_1663]) ).

cnf(refute_0_1665,plain,
    product(product(c,product(c,b)),bigC(c,a,c)) = c,
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(c,a,c)),bigC(c,a,c)),c) )],[refute_0_1616,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    bigC(bigC(c,a,b),product(c,b),C) = product(product(bigC(c,a,b),product(c,b)),product(C,bigC(c,a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_1667,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(bigC(c,a,b),product(c,b)),product(C,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),C) = product(product(product(c,a),b),product(C,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(bigC(c,a,b),product(c,b)),product(C,bigC(c,a,b)))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1668,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(bigC(c,a,b),product(c,b)),product(C,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(c,b),C) = product(product(product(c,a),b),product(C,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_215,refute_0_1667]) ).

cnf(refute_0_1669,plain,
    bigC(bigC(c,a,b),product(c,b),C) = product(product(product(c,a),b),product(C,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(bigC(c,a,b),product(c,b)),product(C,bigC(c,a,b)))) )],[refute_0_1666,refute_0_1668]) ).

cnf(refute_0_1670,plain,
    product(product(product(c,a),b),product(C,bigC(c,a,b))) = product(product(product(c,a),b),product(C,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),product(C,bigC(c,a,b))))]]) ).

cnf(refute_0_1671,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(C,bigC(c,a,b))) != product(product(product(c,a),b),product(C,bigC(c,a,b)))
    | product(product(product(c,a),b),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),product(C,bigC(c,a,b))),product(product(product(c,a),b),product(C,bigC(c,a,b)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1672,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(C,bigC(c,a,b))),product(product(product(c,a),b),product(C,bigC(c,a,b)))) )],[refute_0_1670,refute_0_1671]) ).

cnf(refute_0_1673,plain,
    product(product(product(c,a),b),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_1672]) ).

cnf(refute_0_1674,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(product(c,a),b),product(C,bigC(c,a,b)))
    | product(product(product(c,a),b),product(C,bigC(c,a,b))) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(c,b),C) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) ),[0],$fot(product(product(product(c,a),b),product(C,bigC(c,a,b))))]]) ).

cnf(refute_0_1675,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(product(c,a),b),product(C,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(c,b),C) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(C,bigC(c,a,b))),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) )],[refute_0_1673,refute_0_1674]) ).

cnf(refute_0_1676,plain,
    bigC(bigC(c,a,b),product(c,b),C) = product(product(c,product(c,b)),product(C,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(product(c,a),b),product(C,bigC(c,a,b)))) )],[refute_0_1669,refute_0_1675]) ).

cnf(refute_0_1677,plain,
    bigC(bigC(c,a,b),product(c,b),C) = bigC(bigC(c,a,b),product(c,b),C),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),product(c,b),C))]]) ).

cnf(refute_0_1678,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != bigC(bigC(c,a,b),product(c,b),C)
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),C) = bigC(c,product(c,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),bigC(bigC(c,a,b),product(c,b),C)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1679,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),C) = bigC(c,product(c,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),bigC(bigC(c,a,b),product(c,b),C)) )],[refute_0_1677,refute_0_1678]) ).

cnf(refute_0_1680,plain,
    bigC(bigC(c,a,b),product(c,b),C) = bigC(c,product(c,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1679]) ).

cnf(refute_0_1681,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != bigC(c,product(c,b),C)
    | bigC(bigC(c,a,b),product(c,b),C) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | bigC(c,product(c,b),C) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) ),[0],$fot(bigC(c,product(c,b),C))]]) ).

cnf(refute_0_1682,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | bigC(c,product(c,b),C) = product(product(c,product(c,b)),product(C,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),bigC(c,product(c,b),C)) )],[refute_0_1680,refute_0_1681]) ).

cnf(refute_0_1683,plain,
    bigC(A,B,product(A,X_22)) = product(product(A,B),product(product(A,X_22),A)),
    inference(subst,[],[refute_0_1:[bind(C,$fot(product(A,X_22)))]]) ).

cnf(refute_0_1684,plain,
    bigC(A,X_22,A) = product(product(A,X_22),A),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(A)),bind(X_18,$fot(X_22))]]) ).

cnf(refute_0_1685,plain,
    ( bigC(A,X_22,A) != product(product(A,X_22),A)
    | product(product(A,X_22),A) = bigC(A,X_22,A) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,X_22,A))),bind(Y,$fot(product(product(A,X_22),A)))]]) ).

cnf(refute_0_1686,plain,
    product(product(A,X_22),A) = bigC(A,X_22,A),
    inference(resolve,[$cnf( $equal(bigC(A,X_22,A),product(product(A,X_22),A)) )],[refute_0_1684,refute_0_1685]) ).

cnf(refute_0_1687,plain,
    ( bigC(A,B,product(A,X_22)) != product(product(A,B),product(product(A,X_22),A))
    | product(product(A,X_22),A) != bigC(A,X_22,A)
    | bigC(A,B,product(A,X_22)) = product(product(A,B),bigC(A,X_22,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,B,product(A,X_22)),product(product(A,B),product(product(A,X_22),A))) ),[1,1],$fot(bigC(A,X_22,A))]]) ).

cnf(refute_0_1688,plain,
    ( bigC(A,B,product(A,X_22)) != product(product(A,B),product(product(A,X_22),A))
    | bigC(A,B,product(A,X_22)) = product(product(A,B),bigC(A,X_22,A)) ),
    inference(resolve,[$cnf( $equal(product(product(A,X_22),A),bigC(A,X_22,A)) )],[refute_0_1686,refute_0_1687]) ).

cnf(refute_0_1689,plain,
    bigC(A,B,product(A,X_22)) = product(product(A,B),bigC(A,X_22,A)),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(A,X_22)),product(product(A,B),product(product(A,X_22),A))) )],[refute_0_1683,refute_0_1688]) ).

cnf(refute_0_1690,plain,
    ( bigC(A,B,product(A,X_22)) != product(product(A,B),bigC(A,X_22,A))
    | product(product(A,B),bigC(A,X_22,A)) = bigC(A,B,product(A,X_22)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,B,product(A,X_22)))),bind(Y,$fot(product(product(A,B),bigC(A,X_22,A))))]]) ).

cnf(refute_0_1691,plain,
    product(product(A,B),bigC(A,X_22,A)) = bigC(A,B,product(A,X_22)),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(A,X_22)),product(product(A,B),bigC(A,X_22,A))) )],[refute_0_1689,refute_0_1690]) ).

cnf(refute_0_1692,plain,
    product(product(c,C),bigC(c,b,c)) = bigC(c,C,product(c,b)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(c)),bind(B,$fot(C)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_1693,plain,
    product(product(c,product(c,b)),product(C,c)) = product(product(c,C),bigC(c,b,c)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(b)),bind(X_23,$fot(c)),bind(X_24,$fot(C)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_1694,plain,
    ( product(product(c,C),bigC(c,b,c)) != bigC(c,C,product(c,b))
    | product(product(c,product(c,b)),product(C,c)) != product(product(c,C),bigC(c,b,c))
    | product(product(c,product(c,b)),product(C,c)) = bigC(c,C,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(C,c)))),bind(Y,$fot(product(product(c,C),bigC(c,b,c)))),bind(Z,$fot(bigC(c,C,product(c,b))))]]) ).

cnf(refute_0_1695,plain,
    ( product(product(c,C),bigC(c,b,c)) != bigC(c,C,product(c,b))
    | product(product(c,product(c,b)),product(C,c)) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,c)),product(product(c,C),bigC(c,b,c))) )],[refute_0_1693,refute_0_1694]) ).

cnf(refute_0_1696,plain,
    product(product(c,product(c,b)),product(C,c)) = bigC(c,C,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,C),bigC(c,b,c)),bigC(c,C,product(c,b))) )],[refute_0_1692,refute_0_1695]) ).

cnf(refute_0_1697,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_1698,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_1699,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_1697,refute_0_1698]) ).

cnf(refute_0_1700,plain,
    product(C,bigC(c,a,b)) = product(C,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1699]) ).

cnf(refute_0_1701,plain,
    product(product(c,product(c,b)),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),product(C,bigC(c,a,b))))]]) ).

cnf(refute_0_1702,plain,
    ( product(C,bigC(c,a,b)) != product(C,c)
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(C,bigC(c,a,b))),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) ),[1,1],$fot(product(C,c))]]) ).

cnf(refute_0_1703,plain,
    ( product(C,bigC(c,a,b)) != product(C,c)
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,bigC(c,a,b))),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) )],[refute_0_1701,refute_0_1702]) ).

cnf(refute_0_1704,plain,
    product(product(c,product(c,b)),product(C,bigC(c,a,b))) = product(product(c,product(c,b)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,a,b)),product(C,c)) )],[refute_0_1700,refute_0_1703]) ).

cnf(refute_0_1705,plain,
    ( product(product(c,product(c,b)),product(C,bigC(c,a,b))) != product(product(c,product(c,b)),product(C,c))
    | product(product(c,product(c,b)),product(C,c)) != bigC(c,C,product(c,b))
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) = bigC(c,C,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(C,bigC(c,a,b))))),bind(Y,$fot(product(product(c,product(c,b)),product(C,c)))),bind(Z,$fot(bigC(c,C,product(c,b))))]]) ).

cnf(refute_0_1706,plain,
    ( product(product(c,product(c,b)),product(C,c)) != bigC(c,C,product(c,b))
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,bigC(c,a,b))),product(product(c,product(c,b)),product(C,c))) )],[refute_0_1704,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    product(product(c,product(c,b)),product(C,bigC(c,a,b))) = bigC(c,C,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,c)),bigC(c,C,product(c,b))) )],[refute_0_1696,refute_0_1706]) ).

cnf(refute_0_1708,plain,
    ( bigC(c,product(c,b),C) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | product(product(c,product(c,b)),product(C,bigC(c,a,b))) != bigC(c,C,product(c,b))
    | bigC(c,product(c,b),C) = bigC(c,C,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,b),C),bigC(c,C,product(c,b))) ),[0],$fot(product(product(c,product(c,b)),product(C,bigC(c,a,b))))]]) ).

cnf(refute_0_1709,plain,
    ( bigC(c,product(c,b),C) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | bigC(c,product(c,b),C) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,bigC(c,a,b))),bigC(c,C,product(c,b))) )],[refute_0_1707,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    ( bigC(bigC(c,a,b),product(c,b),C) != product(product(c,product(c,b)),product(C,bigC(c,a,b)))
    | bigC(c,product(c,b),C) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),C),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) )],[refute_0_1682,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    bigC(c,product(c,b),C) = bigC(c,C,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),C),product(product(c,product(c,b)),product(C,bigC(c,a,b)))) )],[refute_0_1676,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    bigC(c,product(c,b),product(c,a)) = bigC(c,product(c,a),product(c,b)),
    inference(subst,[],[refute_0_1711:[bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_1713,plain,
    product(product(c,product(c,b)),bigC(c,a,c)) = bigC(c,product(c,b),product(c,a)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(c)),bind(B,$fot(product(c,b))),bind(X_22,$fot(a))]]) ).

cnf(refute_0_1714,plain,
    ( bigC(c,product(c,b),product(c,a)) != bigC(c,product(c,a),product(c,b))
    | product(product(c,product(c,b)),bigC(c,a,c)) != bigC(c,product(c,b),product(c,a))
    | product(product(c,product(c,b)),bigC(c,a,c)) = bigC(c,product(c,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),bigC(c,a,c)))),bind(Y,$fot(bigC(c,product(c,b),product(c,a)))),bind(Z,$fot(bigC(c,product(c,a),product(c,b))))]]) ).

cnf(refute_0_1715,plain,
    ( bigC(c,product(c,b),product(c,a)) != bigC(c,product(c,a),product(c,b))
    | product(product(c,product(c,b)),bigC(c,a,c)) = bigC(c,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,a,c)),bigC(c,product(c,b),product(c,a))) )],[refute_0_1713,refute_0_1714]) ).

cnf(refute_0_1716,plain,
    product(product(c,product(c,b)),bigC(c,a,c)) = bigC(c,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,a)),bigC(c,product(c,a),product(c,b))) )],[refute_0_1712,refute_0_1715]) ).

cnf(refute_0_1717,plain,
    ( product(product(c,product(c,b)),bigC(c,a,c)) != bigC(c,product(c,a),product(c,b))
    | product(product(c,product(c,b)),bigC(c,a,c)) != c
    | bigC(c,product(c,a),product(c,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,a,c)),c) ),[0],$fot(bigC(c,product(c,a),product(c,b)))]]) ).

cnf(refute_0_1718,plain,
    ( product(product(c,product(c,b)),bigC(c,a,c)) != c
    | bigC(c,product(c,a),product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,a,c)),bigC(c,product(c,a),product(c,b))) )],[refute_0_1716,refute_0_1717]) ).

cnf(refute_0_1719,plain,
    bigC(c,product(c,a),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,a,c)),c) )],[refute_0_1665,refute_0_1718]) ).

cnf(refute_0_1720,plain,
    bigC(product(c,b),B,c) = bigC(c,B,product(c,b)),
    inference(subst,[],[refute_0_1473:[bind(X_18,$fot(B))]]) ).

cnf(refute_0_1721,plain,
    ( bigC(product(c,b),B,c) != bigC(c,B,product(c,b))
    | bigC(product(c,b),B,c) != product(product(c,B),bigC(b,a,b))
    | bigC(c,B,product(c,b)) = product(product(c,B),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),B,c),product(product(c,B),bigC(b,a,b))) ),[0],$fot(bigC(c,B,product(c,b)))]]) ).

cnf(refute_0_1722,plain,
    ( bigC(product(c,b),B,c) != product(product(c,B),bigC(b,a,b))
    | bigC(c,B,product(c,b)) = product(product(c,B),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,c),bigC(c,B,product(c,b))) )],[refute_0_1720,refute_0_1721]) ).

cnf(refute_0_1723,plain,
    bigC(c,B,product(c,b)) = product(product(c,B),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,c),product(product(c,B),bigC(b,a,b))) )],[refute_0_1436,refute_0_1722]) ).

cnf(refute_0_1724,plain,
    ( bigC(c,B,product(c,b)) != product(product(c,B),bigC(b,a,b))
    | product(product(c,B),bigC(b,a,b)) = bigC(c,B,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,B,product(c,b)))),bind(Y,$fot(product(product(c,B),bigC(b,a,b))))]]) ).

cnf(refute_0_1725,plain,
    product(product(c,B),bigC(b,a,b)) = bigC(c,B,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(c,b)),product(product(c,B),bigC(b,a,b))) )],[refute_0_1723,refute_0_1724]) ).

cnf(refute_0_1726,plain,
    product(product(c,product(c,a)),bigC(b,a,b)) = bigC(c,product(c,a),product(c,b)),
    inference(subst,[],[refute_0_1725:[bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_1727,plain,
    ( bigC(c,product(c,a),product(c,b)) != c
    | product(product(c,product(c,a)),bigC(b,a,b)) != bigC(c,product(c,a),product(c,b))
    | product(product(c,product(c,a)),bigC(b,a,b)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),bigC(b,a,b)))),bind(Y,$fot(bigC(c,product(c,a),product(c,b)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_1728,plain,
    ( bigC(c,product(c,a),product(c,b)) != c
    | product(product(c,product(c,a)),bigC(b,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(b,a,b)),bigC(c,product(c,a),product(c,b))) )],[refute_0_1726,refute_0_1727]) ).

cnf(refute_0_1729,plain,
    product(product(c,product(c,a)),bigC(b,a,b)) = c,
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,b)),c) )],[refute_0_1719,refute_0_1728]) ).

cnf(refute_0_1730,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(product(c,product(c,a)),bigC(b,a,b))
    | product(product(c,product(c,a)),bigC(b,a,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(product(product(c,product(c,a)),bigC(b,a,b)))]]) ).

cnf(refute_0_1731,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(product(c,product(c,a)),bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(b,a,b)),c) )],[refute_0_1729,refute_0_1730]) ).

cnf(refute_0_1732,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)),product(product(c,product(c,a)),bigC(b,a,b))) )],[refute_0_1615,refute_0_1731]) ).

cnf(refute_0_1733,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_1734,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_1732,refute_0_1733]) ).

cnf(refute_0_1735,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_1566,refute_0_1734]) ).

cnf(refute_0_1736,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_85:[bind(X_18,$fot(product(a,b))),bind(X_19,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_1737,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_1738,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_834,refute_0_1737]) ).

cnf(refute_0_1739,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_1736,refute_0_1738]) ).

cnf(refute_0_1740,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_1741,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_1742,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_1740,refute_0_1741]) ).

cnf(refute_0_1743,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_1307,refute_0_1742]) ).

cnf(refute_0_1744,plain,
    product(a,product(bigC(c,a,b),a)) = bigC(a,a,bigC(c,a,b)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(a)),bind(X_19,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1745,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_1746,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_1747,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_1745,refute_0_1746]) ).

cnf(refute_0_1748,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_1744,refute_0_1747]) ).

cnf(refute_0_1749,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_32:[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_1750,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_1748,refute_0_1749]) ).

cnf(refute_0_1751,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_1743,refute_0_1750]) ).

cnf(refute_0_1752,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_551:[bind(A,$fot(a)),bind(B,$fot(product(bigC(c,a,b),a))),bind(C,$fot(b))]]) ).

cnf(refute_0_1753,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_32:[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_1754,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_1752,refute_0_1753]) ).

cnf(refute_0_1755,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_1751,refute_0_1754]) ).

cnf(refute_0_1756,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_1757,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_1755,refute_0_1756]) ).

cnf(refute_0_1758,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_1759,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_513,refute_0_1758]) ).

cnf(refute_0_1760,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_1757,refute_0_1759]) ).

cnf(refute_0_1761,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_1739,refute_0_1760]) ).

cnf(refute_0_1762,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_1763,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_1764,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_1762,refute_0_1763]) ).

cnf(refute_0_1765,plain,
    bigC(a,a,bigC(c,a,b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1764]) ).

cnf(refute_0_1766,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_1767,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_1768,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_1766,refute_0_1767]) ).

cnf(refute_0_1769,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_1765,refute_0_1768]) ).

cnf(refute_0_1770,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_1771,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_1769,refute_0_1770]) ).

cnf(refute_0_1772,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_1761,refute_0_1771]) ).

cnf(refute_0_1773,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_1774,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_1772,refute_0_1773]) ).

cnf(refute_0_1775,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_1735,refute_0_1774]) ).

cnf(refute_0_1776,plain,
    difference(bigC(c,b,c),c) = difference(bigC(c,b,c),c),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,c),c))]]) ).

cnf(refute_0_1777,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(c,b,c),c) != difference(bigC(c,b,c),c)
    | difference(bigC(c,b,c),c) = difference(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,c),c),difference(bigC(c,b,c),c)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1778,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(c,b,c),c) = difference(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),c),difference(bigC(c,b,c),c)) )],[refute_0_1776,refute_0_1777]) ).

cnf(refute_0_1779,plain,
    difference(bigC(c,b,c),c) = difference(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_1778]) ).

cnf(refute_0_1780,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(c,b,c),c) != difference(bigC(b,a,b),c)
    | difference(bigC(c,b,c),c) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(c,b,c),c))),bind(Y,$fot(difference(bigC(b,a,b),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_1781,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(c,b,c),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),c),difference(bigC(b,a,b),c)) )],[refute_0_1779,refute_0_1780]) ).

cnf(refute_0_1782,plain,
    difference(bigC(c,b,c),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_1775,refute_0_1781]) ).

cnf(refute_0_1783,plain,
    difference(product(product(X_57,X_44),X_57),X_57) = product(X_57,product(X_57,quotient(product(X_57,X_44),X_57))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(X_57,X_44))),bind(X_30,$fot(X_57))]]) ).

cnf(refute_0_1784,plain,
    quotient(product(X_57,X_44),X_57) = product(X_57,quotient(X_44,X_57)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(X_57))]]) ).

cnf(refute_0_1785,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != product(X_57,product(X_57,quotient(product(X_57,X_44),X_57)))
    | quotient(product(X_57,X_44),X_57) != product(X_57,quotient(X_44,X_57))
    | difference(product(product(X_57,X_44),X_57),X_57) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),product(X_57,product(X_57,quotient(product(X_57,X_44),X_57)))) ),[1,1,1],$fot(product(X_57,quotient(X_44,X_57)))]]) ).

cnf(refute_0_1786,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != product(X_57,product(X_57,quotient(product(X_57,X_44),X_57)))
    | difference(product(product(X_57,X_44),X_57),X_57) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_57,X_44),X_57),product(X_57,quotient(X_44,X_57))) )],[refute_0_1784,refute_0_1785]) ).

cnf(refute_0_1787,plain,
    difference(product(product(X_57,X_44),X_57),X_57) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))),
    inference(resolve,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),product(X_57,product(X_57,quotient(product(X_57,X_44),X_57)))) )],[refute_0_1783,refute_0_1786]) ).

cnf(refute_0_1788,plain,
    product(product(X_57,X_44),X_57) = bigC(X_57,X_44,X_57),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(X_57)),bind(X_18,$fot(X_44))]]) ).

cnf(refute_0_1789,plain,
    difference(product(product(X_57,X_44),X_57),X_57) = difference(product(product(X_57,X_44),X_57),X_57),
    introduced(tautology,[refl,[$fot(difference(product(product(X_57,X_44),X_57),X_57))]]) ).

cnf(refute_0_1790,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != difference(product(product(X_57,X_44),X_57),X_57)
    | product(product(X_57,X_44),X_57) != bigC(X_57,X_44,X_57)
    | difference(product(product(X_57,X_44),X_57),X_57) = difference(bigC(X_57,X_44,X_57),X_57) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),difference(product(product(X_57,X_44),X_57),X_57)) ),[1,0],$fot(bigC(X_57,X_44,X_57))]]) ).

cnf(refute_0_1791,plain,
    ( product(product(X_57,X_44),X_57) != bigC(X_57,X_44,X_57)
    | difference(product(product(X_57,X_44),X_57),X_57) = difference(bigC(X_57,X_44,X_57),X_57) ),
    inference(resolve,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),difference(product(product(X_57,X_44),X_57),X_57)) )],[refute_0_1789,refute_0_1790]) ).

cnf(refute_0_1792,plain,
    difference(product(product(X_57,X_44),X_57),X_57) = difference(bigC(X_57,X_44,X_57),X_57),
    inference(resolve,[$cnf( $equal(product(product(X_57,X_44),X_57),bigC(X_57,X_44,X_57)) )],[refute_0_1788,refute_0_1791]) ).

cnf(refute_0_1793,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != difference(bigC(X_57,X_44,X_57),X_57)
    | difference(product(product(X_57,X_44),X_57),X_57) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))) ),[0],$fot(difference(bigC(X_57,X_44,X_57),X_57))]]) ).

cnf(refute_0_1794,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),difference(bigC(X_57,X_44,X_57),X_57)) )],[refute_0_1792,refute_0_1793]) ).

cnf(refute_0_1795,plain,
    product(X_57,product(X_57,quotient(X_44,X_57))) = difference(product(X_44,X_57),X_57),
    inference(subst,[],[refute_0_296:[bind(A,$fot(X_44)),bind(X_30,$fot(X_57))]]) ).

cnf(refute_0_1796,plain,
    product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) = product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))),
    introduced(tautology,[refl,[$fot(product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))))]]) ).

cnf(refute_0_1797,plain,
    ( product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | product(X_57,product(X_57,quotient(X_44,X_57))) != difference(product(X_44,X_57),X_57)
    | product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) = product(X_57,difference(product(X_44,X_57),X_57)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))),product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))) ),[1,1],$fot(difference(product(X_44,X_57),X_57))]]) ).

cnf(refute_0_1798,plain,
    ( product(X_57,product(X_57,quotient(X_44,X_57))) != difference(product(X_44,X_57),X_57)
    | product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) = product(X_57,difference(product(X_44,X_57),X_57)) ),
    inference(resolve,[$cnf( $equal(product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))),product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))) )],[refute_0_1796,refute_0_1797]) ).

cnf(refute_0_1799,plain,
    product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) = product(X_57,difference(product(X_44,X_57),X_57)),
    inference(resolve,[$cnf( $equal(product(X_57,product(X_57,quotient(X_44,X_57))),difference(product(X_44,X_57),X_57)) )],[refute_0_1795,refute_0_1798]) ).

cnf(refute_0_1800,plain,
    ( difference(bigC(X_57,X_44,X_57),X_57) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))) != product(X_57,difference(product(X_44,X_57),X_57))
    | difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,difference(product(X_44,X_57),X_57)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(X_57,X_44,X_57),X_57),product(X_57,difference(product(X_44,X_57),X_57))) ),[0],$fot(product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))))]]) ).

cnf(refute_0_1801,plain,
    ( difference(bigC(X_57,X_44,X_57),X_57) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,difference(product(X_44,X_57),X_57)) ),
    inference(resolve,[$cnf( $equal(product(X_57,product(X_57,product(X_57,quotient(X_44,X_57)))),product(X_57,difference(product(X_44,X_57),X_57))) )],[refute_0_1799,refute_0_1800]) ).

cnf(refute_0_1802,plain,
    ( difference(product(product(X_57,X_44),X_57),X_57) != product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))
    | difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,difference(product(X_44,X_57),X_57)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(X_57,X_44,X_57),X_57),product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))) )],[refute_0_1794,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    difference(bigC(X_57,X_44,X_57),X_57) = product(X_57,difference(product(X_44,X_57),X_57)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_57,X_44),X_57),X_57),product(X_57,product(X_57,product(X_57,quotient(X_44,X_57))))) )],[refute_0_1787,refute_0_1802]) ).

cnf(refute_0_1804,plain,
    ( difference(bigC(X_57,X_44,X_57),X_57) != product(X_57,difference(product(X_44,X_57),X_57))
    | product(X_57,difference(product(X_44,X_57),X_57)) = difference(bigC(X_57,X_44,X_57),X_57) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(X_57,X_44,X_57),X_57))),bind(Y,$fot(product(X_57,difference(product(X_44,X_57),X_57))))]]) ).

cnf(refute_0_1805,plain,
    product(X_57,difference(product(X_44,X_57),X_57)) = difference(bigC(X_57,X_44,X_57),X_57),
    inference(resolve,[$cnf( $equal(difference(bigC(X_57,X_44,X_57),X_57),product(X_57,difference(product(X_44,X_57),X_57))) )],[refute_0_1803,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    product(c,difference(product(b,c),c)) = difference(bigC(c,b,c),c),
    inference(subst,[],[refute_0_1805:[bind(X_44,$fot(b)),bind(X_57,$fot(c))]]) ).

cnf(refute_0_1807,plain,
    ( difference(bigC(c,b,c),c) != product(a,product(b,c))
    | product(c,difference(product(b,c),c)) != difference(bigC(c,b,c),c)
    | product(c,difference(product(b,c),c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,difference(product(b,c),c)))),bind(Y,$fot(difference(bigC(c,b,c),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_1808,plain,
    ( difference(bigC(c,b,c),c) != product(a,product(b,c))
    | product(c,difference(product(b,c),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,c),c)),difference(bigC(c,b,c),c)) )],[refute_0_1806,refute_0_1807]) ).

cnf(refute_0_1809,plain,
    product(c,difference(product(b,c),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),c),product(a,product(b,c))) )],[refute_0_1782,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    product(c,product(c,quotient(b,c))) = difference(product(b,c),c),
    inference(subst,[],[refute_0_296:[bind(A,$fot(b)),bind(X_30,$fot(c))]]) ).

cnf(refute_0_1811,plain,
    quotient(product(c,b),c) = product(c,quotient(b,c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(b))]]) ).

cnf(refute_0_1812,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_1813,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_1814,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_1812,refute_0_1813]) ).

cnf(refute_0_1815,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_1811,refute_0_1814]) ).

cnf(refute_0_1816,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_32:[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_1817,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_1815,refute_0_1816]) ).

cnf(refute_0_1818,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_1810,refute_0_1817]) ).

cnf(refute_0_1819,plain,
    quotient(product(c,product(c,b)),c) = product(c,quotient(product(c,b),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(product(c,b)))]]) ).

cnf(refute_0_1820,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_32:[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_1821,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_1819,refute_0_1820]) ).

cnf(refute_0_1822,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_1818,refute_0_1821]) ).

cnf(refute_0_1823,plain,
    product(c,quotient(product(c,product(c,b)),c)) = product(c,quotient(product(c,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_1824,plain,
    ( product(c,quotient(product(c,product(c,b)),c)) != product(c,quotient(product(c,product(c,b)),c))
    | quotient(product(c,product(c,b)),c) != difference(product(b,c),c)
    | product(c,quotient(product(c,product(c,b)),c)) = product(c,difference(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,product(c,b)),c)),product(c,quotient(product(c,product(c,b)),c))) ),[1,1],$fot(difference(product(b,c),c))]]) ).

cnf(refute_0_1825,plain,
    ( quotient(product(c,product(c,b)),c) != difference(product(b,c),c)
    | product(c,quotient(product(c,product(c,b)),c)) = product(c,difference(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,b)),c)),product(c,quotient(product(c,product(c,b)),c))) )],[refute_0_1823,refute_0_1824]) ).

cnf(refute_0_1826,plain,
    product(c,quotient(product(c,product(c,b)),c)) = product(c,difference(product(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),difference(product(b,c),c)) )],[refute_0_1822,refute_0_1825]) ).

cnf(refute_0_1827,plain,
    ( product(c,difference(product(b,c),c)) != product(a,product(b,c))
    | product(c,quotient(product(c,product(c,b)),c)) != product(c,difference(product(b,c),c))
    | product(c,quotient(product(c,product(c,b)),c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(product(c,product(c,b)),c)))),bind(Y,$fot(product(c,difference(product(b,c),c)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_1828,plain,
    ( product(c,difference(product(b,c),c)) != product(a,product(b,c))
    | product(c,quotient(product(c,product(c,b)),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,b)),c)),product(c,difference(product(b,c),c))) )],[refute_0_1826,refute_0_1827]) ).

cnf(refute_0_1829,plain,
    product(c,quotient(product(c,product(c,b)),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,c),c)),product(a,product(b,c))) )],[refute_0_1809,refute_0_1828]) ).

cnf(refute_0_1830,plain,
    ( product(c,product(a,b)) != product(c,quotient(product(c,product(c,b)),c))
    | product(c,quotient(product(c,product(c,b)),c)) != product(a,product(b,c))
    | product(c,product(a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(a,b)),product(a,product(b,c))) ),[0],$fot(product(c,quotient(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_1831,plain,
    ( product(c,product(a,b)) != product(c,quotient(product(c,product(c,b)),c))
    | product(c,product(a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,b)),c)),product(a,product(b,c))) )],[refute_0_1829,refute_0_1830]) ).

cnf(refute_0_1832,plain,
    ( quotient(bigC(b,a,product(a,b)),c) != product(c,quotient(product(c,product(c,b)),c))
    | product(c,product(a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(c,quotient(product(c,product(c,b)),c))) )],[refute_0_1565,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    product(c,product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),c),product(c,quotient(product(c,product(c,b)),c))) )],[refute_0_1563,refute_0_1832]) ).

cnf(refute_0_1834,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(product(c,product(a,b)),product(a,b)) != c
    | quotient(product(a,product(b,c)),product(a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(a,b)),product(a,b)),c) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1835,plain,
    ( quotient(product(c,product(a,b)),product(a,b)) != c
    | quotient(product(a,product(b,c)),product(a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_1834]) ).

cnf(refute_0_1836,plain,
    quotient(product(a,product(b,c)),product(a,b)) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,b)),product(a,b)),c) )],[refute_0_891,refute_0_1835]) ).

cnf(refute_0_1837,plain,
    quotient(product(product(a,b),product(a,c)),product(a,b)) = product(product(a,b),quotient(product(a,c),product(a,b))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(a,b))),bind(X_44,$fot(product(a,c)))]]) ).

cnf(refute_0_1838,plain,
    quotient(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)) = product(bigC(c,a,b),a),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(bigC(c,a,b),a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_1839,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | quotient(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)) != product(bigC(c,a,b),a)
    | quotient(product(a,c),product(a,b)) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(bigC(c,a,b),a)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_1840,plain,
    ( quotient(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)) != product(bigC(c,a,b),a)
    | quotient(product(a,c),product(a,b)) = 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_834,refute_0_1839]) ).

cnf(refute_0_1841,plain,
    quotient(product(a,c),product(a,b)) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(bigC(c,a,b),a)) )],[refute_0_1838,refute_0_1840]) ).

cnf(refute_0_1842,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_1843,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_878,refute_0_1842]) ).

cnf(refute_0_1844,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_1841,refute_0_1843]) ).

cnf(refute_0_1845,plain,
    ( quotient(product(a,c),product(a,b)) != product(c,a)
    | quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),quotient(product(a,c),product(a,b)))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) = product(product(a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),product(product(a,b),quotient(product(a,c),product(a,b)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_1846,plain,
    ( quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),quotient(product(a,c),product(a,b)))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) = product(product(a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(c,a)) )],[refute_0_1844,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    quotient(product(product(a,b),product(a,c)),product(a,b)) = product(product(a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),product(product(a,b),quotient(product(a,c),product(a,b)))) )],[refute_0_1837,refute_0_1846]) ).

cnf(refute_0_1848,plain,
    product(product(a,b),quotient(product(a,c),product(a,b))) = quotient(product(a,product(b,c)),product(a,b)),
    inference(subst,[],[refute_0_445:[bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_1849,plain,
    ( product(product(a,b),quotient(product(a,c),product(a,b))) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),quotient(product(a,c),product(a,b)))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(a,b),product(a,c)),product(a,b)))),bind(Y,$fot(product(product(a,b),quotient(product(a,c),product(a,b))))),bind(Z,$fot(quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_1850,plain,
    ( product(product(a,b),quotient(product(a,c),product(a,b))) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),product(product(a,b),quotient(product(a,c),product(a,b)))) )],[refute_0_1837,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    quotient(product(product(a,b),product(a,c)),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,c),product(a,b))),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_1848,refute_0_1850]) ).

cnf(refute_0_1852,plain,
    ( quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),product(c,a))
    | quotient(product(product(a,b),product(a,c)),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),product(product(a,b),product(c,a))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_1853,plain,
    ( quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),product(c,a))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_1851,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    product(product(a,b),product(c,a)) = bigC(a,b,c),
    inference(subst,[],[refute_0_117:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_1855,plain,
    ( product(product(a,b),product(c,a)) != bigC(a,b,c)
    | quotient(product(a,product(b,c)),product(a,b)) != product(product(a,b),product(c,a))
    | quotient(product(a,product(b,c)),product(a,b)) = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(a,b),product(c,a))) ),[1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_1856,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != product(product(a,b),product(c,a))
    | quotient(product(a,product(b,c)),product(a,b)) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,a)),bigC(a,b,c)) )],[refute_0_1854,refute_0_1855]) ).

cnf(refute_0_1857,plain,
    ( quotient(product(product(a,b),product(a,c)),product(a,b)) != product(product(a,b),product(c,a))
    | quotient(product(a,product(b,c)),product(a,b)) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(a,b),product(c,a))) )],[refute_0_1853,refute_0_1856]) ).

cnf(refute_0_1858,plain,
    quotient(product(a,product(b,c)),product(a,b)) = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(a,c)),product(a,b)),product(product(a,b),product(c,a))) )],[refute_0_1847,refute_0_1857]) ).

cnf(refute_0_1859,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != bigC(a,b,c)
    | quotient(product(a,product(b,c)),product(a,b)) != c
    | bigC(a,b,c) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),c) ),[0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_1860,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != c
    | bigC(a,b,c) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),bigC(a,b,c)) )],[refute_0_1858,refute_0_1859]) ).

cnf(refute_0_1861,plain,
    bigC(a,b,c) = c,
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),c) )],[refute_0_1836,refute_0_1860]) ).

cnf(refute_0_1862,plain,
    product(product(c,a),bigC(a,b,c)) = product(product(c,a),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,a),bigC(a,b,c)))]]) ).

cnf(refute_0_1863,plain,
    ( bigC(a,b,c) != c
    | product(product(c,a),bigC(a,b,c)) != product(product(c,a),bigC(a,b,c))
    | product(product(c,a),bigC(a,b,c)) = product(product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(a,b,c)),product(product(c,a),bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1864,plain,
    ( bigC(a,b,c) != c
    | product(product(c,a),bigC(a,b,c)) = product(product(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,b,c)),product(product(c,a),bigC(a,b,c))) )],[refute_0_1862,refute_0_1863]) ).

cnf(refute_0_1865,plain,
    product(product(c,a),bigC(a,b,c)) = product(product(c,a),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    ( product(product(c,a),bigC(a,b,c)) != product(product(c,a),c)
    | product(product(c,a),c) != bigC(c,a,c)
    | product(product(c,a),bigC(a,b,c)) = bigC(c,a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),bigC(a,b,c)))),bind(Y,$fot(product(product(c,a),c))),bind(Z,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_1867,plain,
    ( product(product(c,a),c) != bigC(c,a,c)
    | product(product(c,a),bigC(a,b,c)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,b,c)),product(product(c,a),c)) )],[refute_0_1865,refute_0_1866]) ).

cnf(refute_0_1868,plain,
    product(product(c,a),bigC(a,b,c)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(c,a,c)) )],[refute_0_890,refute_0_1867]) ).

cnf(refute_0_1869,plain,
    ( bigC(a,c,c) != product(product(c,a),bigC(a,b,c))
    | product(product(c,a),bigC(a,b,c)) != bigC(c,a,c)
    | bigC(a,c,c) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,c),bigC(c,a,c)) ),[0],$fot(product(product(c,a),bigC(a,b,c)))]]) ).

cnf(refute_0_1870,plain,
    ( bigC(a,c,c) != product(product(c,a),bigC(a,b,c))
    | bigC(a,c,c) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,b,c)),bigC(c,a,c)) )],[refute_0_1868,refute_0_1869]) ).

cnf(refute_0_1871,plain,
    bigC(a,c,c) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),product(product(c,a),bigC(a,b,c))) )],[refute_0_889,refute_0_1870]) ).

cnf(refute_0_1872,plain,
    difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) = bigC(a,a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(bigC(c,a,b),a,bigC(c,a,b)))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_1873,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_50:[bind(X_17,$fot(product(bigC(c,a,b),a))),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_1874,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_1875,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_834,refute_0_1874]) ).

cnf(refute_0_1876,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_1873,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    bigC(a,b,a) = bigC(a,a,b),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_1878,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)))]]) ).

cnf(refute_0_1879,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1880,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(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)),bigC(a,b,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a))) )],[refute_0_1878,refute_0_1879]) ).

cnf(refute_0_1881,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,b,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_1877,refute_0_1880]) ).

cnf(refute_0_1882,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,b,a)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(bigC(c,a,b))),bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_1883,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_152:[bind(X_18,$fot(product(a,b))),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_1884,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,b,a))
    | 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,b,a)) ),
    inference(subst,[],[refute_0_32:[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,b,a))))]]) ).

cnf(refute_0_1885,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,b,a))
    | 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,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)),product(product(a,b),a))) )],[refute_0_1883,refute_0_1884]) ).

cnf(refute_0_1886,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,b,a)),
    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,b,a))) )],[refute_0_1882,refute_0_1885]) ).

cnf(refute_0_1887,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,b,a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(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_32:[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)),bigC(a,b,a)))),bind(Z,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_1888,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(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)),bigC(a,b,a))) )],[refute_0_1886,refute_0_1887]) ).

cnf(refute_0_1889,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)),bigC(a,b,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) )],[refute_0_1881,refute_0_1888]) ).

cnf(refute_0_1890,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_1891,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_1889,refute_0_1890]) ).

cnf(refute_0_1892,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_1893,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_857,refute_0_1892]) ).

cnf(refute_0_1894,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_1891,refute_0_1893]) ).

cnf(refute_0_1895,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_1876,refute_0_1894]) ).

cnf(refute_0_1896,plain,
    ( difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) != bigC(a,a,b)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))),bigC(a,a,b)) ),[0,1],$fot(bigC(a,c,bigC(c,a,b)))]]) ).

cnf(refute_0_1897,plain,
    ( difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) != bigC(a,a,b)
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = bigC(a,a,b) ),
    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_1895,refute_0_1896]) ).

cnf(refute_0_1898,plain,
    difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_1872,refute_0_1897]) ).

cnf(refute_0_1899,plain,
    difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))))]]) ).

cnf(refute_0_1900,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) != difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b)))
    | difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))),difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_1901,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))),difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b)))) )],[refute_0_1899,refute_0_1900]) ).

cnf(refute_0_1902,plain,
    difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,c)) )],[refute_0_864,refute_0_1901]) ).

cnf(refute_0_1903,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_1904,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_1905,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_1903,refute_0_1904]) ).

cnf(refute_0_1906,plain,
    bigC(c,a,bigC(c,a,b)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_1905]) ).

cnf(refute_0_1907,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_1908,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_1909,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_1907,refute_0_1908]) ).

cnf(refute_0_1910,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_772,refute_0_1909]) ).

cnf(refute_0_1911,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_32:[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_1912,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_1910,refute_0_1911]) ).

cnf(refute_0_1913,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_1906,refute_0_1912]) ).

cnf(refute_0_1914,plain,
    difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))))]]) ).

cnf(refute_0_1915,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) != difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b)))
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b)))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_1916,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b)))) )],[refute_0_1914,refute_0_1915]) ).

cnf(refute_0_1917,plain,
    difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_1913,refute_0_1916]) ).

cnf(refute_0_1918,plain,
    ( difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) != difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b)))
    | difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) != difference(bigC(c,a,c),bigC(a,c,c))
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))))),bind(Y,$fot(difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))))),bind(Z,$fot(difference(bigC(c,a,c),bigC(a,c,c))))]]) ).

cnf(refute_0_1919,plain,
    ( difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))) != difference(bigC(c,a,c),bigC(a,c,c))
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b)))) )],[refute_0_1917,refute_0_1918]) ).

cnf(refute_0_1920,plain,
    difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) = difference(bigC(c,a,c),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,bigC(c,a,b))),difference(bigC(c,a,c),bigC(a,c,c))) )],[refute_0_1902,refute_0_1919]) ).

cnf(refute_0_1921,plain,
    ( difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) != bigC(a,a,b)
    | difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) != difference(bigC(c,a,c),bigC(a,c,c))
    | difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),bigC(a,a,b)) ),[0],$fot(difference(bigC(c,a,c),bigC(a,c,c)))]]) ).

cnf(refute_0_1922,plain,
    ( difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) != bigC(a,a,b)
    | difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),difference(bigC(c,a,c),bigC(a,c,c))) )],[refute_0_1920,refute_0_1921]) ).

cnf(refute_0_1923,plain,
    difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))),bigC(a,a,b)) )],[refute_0_1898,refute_0_1922]) ).

cnf(refute_0_1924,plain,
    difference(X_2,product(X_2,X_2)) = X_2,
    inference(subst,[],[refute_0_9:[bind(A,$fot(X_2)),bind(B,$fot(X_2))]]) ).

cnf(refute_0_1925,plain,
    product(X_2,X_2) = X_2,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_2))]]) ).

cnf(refute_0_1926,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_1927,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_1925,refute_0_1926]) ).

cnf(refute_0_1928,plain,
    difference(X_2,X_2) = X_2,
    inference(resolve,[$cnf( $equal(difference(X_2,product(X_2,X_2)),X_2) )],[refute_0_1924,refute_0_1927]) ).

cnf(refute_0_1929,plain,
    difference(bigC(a,c,c),bigC(a,c,c)) = bigC(a,c,c),
    inference(subst,[],[refute_0_1928:[bind(X_2,$fot(bigC(a,c,c)))]]) ).

cnf(refute_0_1930,plain,
    ( bigC(a,c,c) != bigC(c,a,c)
    | bigC(c,a,c) = bigC(a,c,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,c,c))),bind(Y,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_1931,plain,
    bigC(c,a,c) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(c,a,c)) )],[refute_0_1871,refute_0_1930]) ).

cnf(refute_0_1932,plain,
    difference(bigC(c,a,c),bigC(a,c,c)) = difference(bigC(c,a,c),bigC(a,c,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),bigC(a,c,c)))]]) ).

cnf(refute_0_1933,plain,
    ( bigC(c,a,c) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,c)) != difference(bigC(c,a,c),bigC(a,c,c))
    | difference(bigC(c,a,c),bigC(a,c,c)) = difference(bigC(a,c,c),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),difference(bigC(c,a,c),bigC(a,c,c))) ),[1,0],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_1934,plain,
    ( bigC(c,a,c) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,c)) = difference(bigC(a,c,c),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),difference(bigC(c,a,c),bigC(a,c,c))) )],[refute_0_1932,refute_0_1933]) ).

cnf(refute_0_1935,plain,
    difference(bigC(c,a,c),bigC(a,c,c)) = difference(bigC(a,c,c),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,c,c)) )],[refute_0_1931,refute_0_1934]) ).

cnf(refute_0_1936,plain,
    ( difference(bigC(a,c,c),bigC(a,c,c)) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,c)) != difference(bigC(a,c,c),bigC(a,c,c))
    | difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,c,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(c,a,c),bigC(a,c,c)))),bind(Y,$fot(difference(bigC(a,c,c),bigC(a,c,c)))),bind(Z,$fot(bigC(a,c,c)))]]) ).

cnf(refute_0_1937,plain,
    ( difference(bigC(a,c,c),bigC(a,c,c)) != bigC(a,c,c)
    | difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),difference(bigC(a,c,c),bigC(a,c,c))) )],[refute_0_1935,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    difference(bigC(c,a,c),bigC(a,c,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,c),bigC(a,c,c)),bigC(a,c,c)) )],[refute_0_1929,refute_0_1937]) ).

cnf(refute_0_1939,plain,
    ( difference(bigC(c,a,c),bigC(a,c,c)) != bigC(a,a,b)
    | difference(bigC(c,a,c),bigC(a,c,c)) != bigC(a,c,c)
    | bigC(a,c,c) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),bigC(a,a,b)) ),[0],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_1940,plain,
    ( difference(bigC(c,a,c),bigC(a,c,c)) != bigC(a,a,b)
    | bigC(a,c,c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),bigC(a,c,c)) )],[refute_0_1938,refute_0_1939]) ).

cnf(refute_0_1941,plain,
    bigC(a,c,c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(a,c,c)),bigC(a,a,b)) )],[refute_0_1923,refute_0_1940]) ).

cnf(refute_0_1942,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | bigC(a,c,c) != bigC(c,a,c)
    | bigC(a,a,b) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,c),bigC(c,a,c)) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1943,plain,
    ( bigC(a,c,c) != bigC(c,a,c)
    | bigC(a,a,b) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_1941,refute_0_1942]) ).

cnf(refute_0_1944,plain,
    bigC(a,a,b) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(c,a,c)) )],[refute_0_1871,refute_0_1943]) ).

cnf(refute_0_1945,plain,
    ( bigC(a,a,b) != bigC(c,a,c)
    | bigC(c,a,c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_1946,plain,
    bigC(c,a,c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),bigC(c,a,c)) )],[refute_0_1944,refute_0_1945]) ).

cnf(refute_0_1947,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_1948,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_1949,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_1947,refute_0_1948]) ).

cnf(refute_0_1950,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_1946,refute_0_1949]) ).

cnf(refute_0_1951,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(c,a,c))
    | product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,c,product(c,a)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,a)))),bind(Y,$fot(product(c,bigC(c,a,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_1952,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,c,product(c,a)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,a)),product(c,bigC(c,a,c))) )],[refute_0_980,refute_0_1951]) ).

cnf(refute_0_1953,plain,
    bigC(c,c,product(c,a)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_1950,refute_0_1952]) ).

cnf(refute_0_1954,plain,
    product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) = product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_1955,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) != product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))
    | product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_1956,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))) )],[refute_0_1954,refute_0_1955]) ).

cnf(refute_0_1957,plain,
    product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,a)),product(c,bigC(a,a,b))) )],[refute_0_1953,refute_0_1956]) ).

cnf(refute_0_1958,plain,
    product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)) = product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(product(c,a))),bind(B,$fot(c)),bind(C,$fot(product(b,c))),bind(D,$fot(a))]]) ).

cnf(refute_0_1959,plain,
    bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(product(X_65,X_66),product(X_65,X_67)),product(C,product(X_65,X_66))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(X_65,X_66))),bind(B,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_1960,plain,
    ( bigC(product(X_65,X_66),product(X_65,X_67),C) != product(product(product(X_65,X_66),product(X_65,X_67)),product(C,product(X_65,X_66)))
    | product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_65,X_66),product(X_65,X_67),C),product(product(product(X_65,X_66),product(X_65,X_67)),product(C,product(X_65,X_66)))) ),[1,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_1961,plain,
    ( bigC(product(X_65,X_66),product(X_65,X_67),C) != product(product(product(X_65,X_66),product(X_65,X_67)),product(C,product(X_65,X_66)))
    | bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_1960]) ).

cnf(refute_0_1962,plain,
    bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),product(X_65,X_67),C),product(product(product(X_65,X_66),product(X_65,X_67)),product(C,product(X_65,X_66)))) )],[refute_0_1959,refute_0_1961]) ).

cnf(refute_0_1963,plain,
    product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))) = product(product(X_65,C),bigC(X_66,X_67,X_65)),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(X_66)),bind(B,$fot(X_67)),bind(C,$fot(X_65)),bind(X_23,$fot(X_65)),bind(X_24,$fot(C))]]) ).

cnf(refute_0_1964,plain,
    ( bigC(product(X_65,X_66),product(X_65,X_67),C) != product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66)))
    | product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))) != product(product(X_65,C),bigC(X_66,X_67,X_65))
    | bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,C),bigC(X_66,X_67,X_65)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_65,X_66),product(X_65,X_67),C),product(product(X_65,C),bigC(X_66,X_67,X_65))) ),[0],$fot(product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))))]]) ).

cnf(refute_0_1965,plain,
    ( bigC(product(X_65,X_66),product(X_65,X_67),C) != product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66)))
    | bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,C),bigC(X_66,X_67,X_65)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66))),product(product(X_65,C),bigC(X_66,X_67,X_65))) )],[refute_0_1963,refute_0_1964]) ).

cnf(refute_0_1966,plain,
    bigC(product(X_65,X_66),product(X_65,X_67),C) = product(product(X_65,C),bigC(X_66,X_67,X_65)),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),product(X_65,X_67),C),product(product(X_65,product(X_66,X_67)),product(C,product(X_65,X_66)))) )],[refute_0_1962,refute_0_1965]) ).

cnf(refute_0_1967,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(c,a),product(b,c)))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_1968,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c))
    | product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)) != product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))))),bind(Y,$fot(product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)))),bind(Z,$fot(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))))]]) ).

cnf(refute_0_1969,plain,
    ( product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)) != product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c))) )],[refute_0_1967,refute_0_1968]) ).

cnf(refute_0_1970,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),product(b,c))),bigC(a,a,c)),product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))) )],[refute_0_1958,refute_0_1969]) ).

cnf(refute_0_1971,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))
    | product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) != product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))))),bind(Y,$fot(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))))),bind(Z,$fot(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))))]]) ).

cnf(refute_0_1972,plain,
    ( product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))) != product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c)))) )],[refute_0_1970,refute_0_1971]) ).

cnf(refute_0_1973,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) = product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,a)),bigC(a,a,product(b,c))),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))) )],[refute_0_1957,refute_0_1972]) ).

cnf(refute_0_1974,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),product(c,product(product(c,a),product(c,a))))
    | bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,a),product(c,product(product(c,a),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,a),product(c,product(product(c,a),product(c,a))))) ),[0],$fot(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_1975,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),product(c,product(product(c,a),product(c,a))))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,a),product(c,product(product(c,a),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))) )],[refute_0_1973,refute_0_1974]) ).

cnf(refute_0_1976,plain,
    product(c,bigC(a,c,a)) = product(c,bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,c,a)))]]) ).

cnf(refute_0_1977,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(c,bigC(a,c,a)) != product(c,bigC(a,c,a))
    | product(c,bigC(a,c,a)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,c,a)),product(c,bigC(a,c,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_1978,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(c,bigC(a,c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,a)),product(c,bigC(a,c,a))) )],[refute_0_1976,refute_0_1977]) ).

cnf(refute_0_1979,plain,
    product(c,bigC(a,c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_407,refute_0_1978]) ).

cnf(refute_0_1980,plain,
    bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,quotient(bigC(X_74,X_74,X_22),X_74)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),
    inference(subst,[],[refute_0_56:[bind(A,$fot(bigC(X_74,X_74,X_22))),bind(X_22,$fot(X_74))]]) ).

cnf(refute_0_1981,plain,
    quotient(bigC(X_74,X_74,X_22),X_74) = product(X_74,X_22),
    inference(subst,[],[refute_0_250:[bind(B,$fot(X_74))]]) ).

cnf(refute_0_1982,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,quotient(bigC(X_74,X_74,X_22),X_74)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | quotient(bigC(X_74,X_74,X_22),X_74) != product(X_74,X_22)
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,quotient(bigC(X_74,X_74,X_22),X_74)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) ),[0,2],$fot(product(X_74,X_22))]]) ).

cnf(refute_0_1983,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,quotient(bigC(X_74,X_74,X_22),X_74)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_74,X_74,X_22),X_74),product(X_74,X_22)) )],[refute_0_1981,refute_0_1982]) ).

cnf(refute_0_1984,plain,
    bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,quotient(bigC(X_74,X_74,X_22),X_74)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) )],[refute_0_1980,refute_0_1983]) ).

cnf(refute_0_1985,plain,
    bigC(product(X_74,X_22),X_74,product(X_74,X_22)) = product(bigC(X_74,X_22,X_74),product(X_74,X_22)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(X_74)),bind(X_25,$fot(X_74)),bind(X_26,$fot(X_22))]]) ).

cnf(refute_0_1986,plain,
    bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)))]]) ).

cnf(refute_0_1987,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22))
    | quotient(bigC(X_74,X_74,X_22),X_74) != product(X_74,X_22)
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = bigC(product(X_74,X_22),X_74,product(X_74,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22))) ),[1,0],$fot(product(X_74,X_22))]]) ).

cnf(refute_0_1988,plain,
    ( quotient(bigC(X_74,X_74,X_22),X_74) != product(X_74,X_22)
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = bigC(product(X_74,X_22),X_74,product(X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22))) )],[refute_0_1986,refute_0_1987]) ).

cnf(refute_0_1989,plain,
    bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = bigC(product(X_74,X_22),X_74,product(X_74,X_22)),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_74,X_74,X_22),X_74),product(X_74,X_22)) )],[refute_0_1981,refute_0_1988]) ).

cnf(refute_0_1990,plain,
    ( bigC(product(X_74,X_22),X_74,product(X_74,X_22)) != product(bigC(X_74,X_22,X_74),product(X_74,X_22))
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != bigC(product(X_74,X_22),X_74,product(X_74,X_22))
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_22,X_74),product(X_74,X_22)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)))),bind(Y,$fot(bigC(product(X_74,X_22),X_74,product(X_74,X_22)))),bind(Z,$fot(product(bigC(X_74,X_22,X_74),product(X_74,X_22))))]]) ).

cnf(refute_0_1991,plain,
    ( bigC(product(X_74,X_22),X_74,product(X_74,X_22)) != product(bigC(X_74,X_22,X_74),product(X_74,X_22))
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_22,X_74),product(X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),bigC(product(X_74,X_22),X_74,product(X_74,X_22))) )],[refute_0_1989,refute_0_1990]) ).

cnf(refute_0_1992,plain,
    bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) = product(bigC(X_74,X_22,X_74),product(X_74,X_22)),
    inference(resolve,[$cnf( $equal(bigC(product(X_74,X_22),X_74,product(X_74,X_22)),product(bigC(X_74,X_22,X_74),product(X_74,X_22))) )],[refute_0_1985,refute_0_1991]) ).

cnf(refute_0_1993,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != product(bigC(X_74,X_22,X_74),product(X_74,X_22))
    | bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) ),[0],$fot(product(bigC(X_74,X_22,X_74),product(X_74,X_22)))]]) ).

cnf(refute_0_1994,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),product(bigC(X_74,X_22,X_74),product(X_74,X_22))) )],[refute_0_1992,refute_0_1993]) ).

cnf(refute_0_1995,plain,
    product(product(X_22,X_74),X_22) = bigC(X_22,X_74,X_22),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(X_22)),bind(X_18,$fot(X_74))]]) ).

cnf(refute_0_1996,plain,
    product(X_74,product(product(X_22,X_74),X_22)) = product(X_74,product(product(X_22,X_74),X_22)),
    introduced(tautology,[refl,[$fot(product(X_74,product(product(X_22,X_74),X_22)))]]) ).

cnf(refute_0_1997,plain,
    ( product(X_74,product(product(X_22,X_74),X_22)) != product(X_74,product(product(X_22,X_74),X_22))
    | product(product(X_22,X_74),X_22) != bigC(X_22,X_74,X_22)
    | product(X_74,product(product(X_22,X_74),X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_74,product(product(X_22,X_74),X_22)),product(X_74,product(product(X_22,X_74),X_22))) ),[1,1],$fot(bigC(X_22,X_74,X_22))]]) ).

cnf(refute_0_1998,plain,
    ( product(product(X_22,X_74),X_22) != bigC(X_22,X_74,X_22)
    | product(X_74,product(product(X_22,X_74),X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(X_74,product(product(X_22,X_74),X_22)),product(X_74,product(product(X_22,X_74),X_22))) )],[refute_0_1996,refute_0_1997]) ).

cnf(refute_0_1999,plain,
    product(X_74,product(product(X_22,X_74),X_22)) = product(X_74,bigC(X_22,X_74,X_22)),
    inference(resolve,[$cnf( $equal(product(product(X_22,X_74),X_22),bigC(X_22,X_74,X_22)) )],[refute_0_1995,refute_0_1998]) ).

cnf(refute_0_2000,plain,
    product(bigC(X_74,X_74,X_22),product(X_74,X_22)) = product(X_74,product(product(X_22,X_74),X_22)),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(X_22)),bind(X_65,$fot(X_74)),bind(X_67,$fot(X_22))]]) ).

cnf(refute_0_2001,plain,
    ( product(X_74,product(product(X_22,X_74),X_22)) != product(X_74,bigC(X_22,X_74,X_22))
    | product(bigC(X_74,X_74,X_22),product(X_74,X_22)) != product(X_74,product(product(X_22,X_74),X_22))
    | product(bigC(X_74,X_74,X_22),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(X_74,X_74,X_22),product(X_74,X_22)))),bind(Y,$fot(product(X_74,product(product(X_22,X_74),X_22)))),bind(Z,$fot(product(X_74,bigC(X_22,X_74,X_22))))]]) ).

cnf(refute_0_2002,plain,
    ( product(X_74,product(product(X_22,X_74),X_22)) != product(X_74,bigC(X_22,X_74,X_22))
    | product(bigC(X_74,X_74,X_22),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_74,X_22),product(X_74,X_22)),product(X_74,product(product(X_22,X_74),X_22))) )],[refute_0_2000,refute_0_2001]) ).

cnf(refute_0_2003,plain,
    product(bigC(X_74,X_74,X_22),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)),
    inference(resolve,[$cnf( $equal(product(X_74,product(product(X_22,X_74),X_22)),product(X_74,bigC(X_22,X_74,X_22))) )],[refute_0_1999,refute_0_2002]) ).

cnf(refute_0_2004,plain,
    product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),
    introduced(tautology,[refl,[$fot(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)))]]) ).

cnf(refute_0_2005,plain,
    ( product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | quotient(bigC(X_74,X_74,X_22),X_74) != product(X_74,X_22)
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(bigC(X_74,X_74,X_22),product(X_74,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) ),[1,1],$fot(product(X_74,X_22))]]) ).

cnf(refute_0_2006,plain,
    ( quotient(bigC(X_74,X_74,X_22),X_74) != product(X_74,X_22)
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(bigC(X_74,X_74,X_22),product(X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) )],[refute_0_2004,refute_0_2005]) ).

cnf(refute_0_2007,plain,
    product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(bigC(X_74,X_74,X_22),product(X_74,X_22)),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_74,X_74,X_22),X_74),product(X_74,X_22)) )],[refute_0_1981,refute_0_2006]) ).

cnf(refute_0_2008,plain,
    ( product(bigC(X_74,X_74,X_22),product(X_74,X_22)) != product(X_74,bigC(X_22,X_74,X_22))
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) != product(bigC(X_74,X_74,X_22),product(X_74,X_22))
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)))),bind(Y,$fot(product(bigC(X_74,X_74,X_22),product(X_74,X_22)))),bind(Z,$fot(product(X_74,bigC(X_22,X_74,X_22))))]]) ).

cnf(refute_0_2009,plain,
    ( product(bigC(X_74,X_74,X_22),product(X_74,X_22)) != product(X_74,bigC(X_22,X_74,X_22))
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),product(bigC(X_74,X_74,X_22),product(X_74,X_22))) )],[refute_0_2007,refute_0_2008]) ).

cnf(refute_0_2010,plain,
    product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) = product(X_74,bigC(X_22,X_74,X_22)),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_74,X_22),product(X_74,X_22)),product(X_74,bigC(X_22,X_74,X_22))) )],[refute_0_2003,refute_0_2009]) ).

cnf(refute_0_2011,plain,
    ( product(bigC(X_74,X_22,X_74),product(X_74,X_22)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)) != product(X_74,bigC(X_22,X_74,X_22))
    | product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_74,X_22,X_74),product(X_74,X_22)),product(X_74,bigC(X_22,X_74,X_22))) ),[0],$fot(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)))]]) ).

cnf(refute_0_2012,plain,
    ( product(bigC(X_74,X_22,X_74),product(X_74,X_22)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74)),product(X_74,bigC(X_22,X_74,X_22))) )],[refute_0_2010,refute_0_2011]) ).

cnf(refute_0_2013,plain,
    ( bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)) != product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))
    | product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_74,X_22,X_74),product(X_74,X_22)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) )],[refute_0_1994,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    product(bigC(X_74,X_22,X_74),product(X_74,X_22)) = product(X_74,bigC(X_22,X_74,X_22)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(X_74,X_74,X_22),X_74),X_74,product(X_74,X_22)),product(bigC(X_74,X_74,X_22),quotient(bigC(X_74,X_74,X_22),X_74))) )],[refute_0_1984,refute_0_2013]) ).

cnf(refute_0_2015,plain,
    product(bigC(c,a,c),product(c,a)) = product(c,bigC(a,c,a)),
    inference(subst,[],[refute_0_2014:[bind(X_22,$fot(a)),bind(X_74,$fot(c))]]) ).

cnf(refute_0_2016,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,c,a))
    | product(c,bigC(a,c,a)) != product(c,bigC(a,a,c))
    | product(bigC(c,a,c),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,c),product(c,a)))),bind(Y,$fot(product(c,bigC(a,c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_2017,plain,
    ( product(c,bigC(a,c,a)) != product(c,bigC(a,a,c))
    | product(bigC(c,a,c),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,a)),product(c,bigC(a,c,a))) )],[refute_0_2015,refute_0_2016]) ).

cnf(refute_0_2018,plain,
    product(bigC(c,a,c),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,a)),product(c,bigC(a,a,c))) )],[refute_0_1979,refute_0_2017]) ).

cnf(refute_0_2019,plain,
    bigC(product(c,a),c,product(c,a)) = product(bigC(c,a,c),product(c,a)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_2020,plain,
    ( bigC(product(c,a),c,product(c,a)) != product(bigC(c,a,c),product(c,a))
    | product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,a,c))
    | bigC(product(c,a),c,product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),c,product(c,a)))),bind(Y,$fot(product(bigC(c,a,c),product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_2021,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,a,c))
    | bigC(product(c,a),c,product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,product(c,a)),product(bigC(c,a,c),product(c,a))) )],[refute_0_2019,refute_0_2020]) ).

cnf(refute_0_2022,plain,
    bigC(product(c,a),c,product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_2018,refute_0_2021]) ).

cnf(refute_0_2023,plain,
    bigC(product(c,a),c,product(product(c,a),product(c,a))) = bigC(product(c,a),c,product(product(c,a),product(c,a))),
    introduced(tautology,[refl,[$fot(bigC(product(c,a),c,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_2024,plain,
    ( bigC(product(c,a),c,product(product(c,a),product(c,a))) != bigC(product(c,a),c,product(product(c,a),product(c,a)))
    | product(product(c,a),product(c,a)) != product(c,a)
    | bigC(product(c,a),c,product(product(c,a),product(c,a))) = bigC(product(c,a),c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),c,product(product(c,a),product(c,a))),bigC(product(c,a),c,product(product(c,a),product(c,a)))) ),[1,2],$fot(product(c,a))]]) ).

cnf(refute_0_2025,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | bigC(product(c,a),c,product(product(c,a),product(c,a))) = bigC(product(c,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,product(product(c,a),product(c,a))),bigC(product(c,a),c,product(product(c,a),product(c,a)))) )],[refute_0_2023,refute_0_2024]) ).

cnf(refute_0_2026,plain,
    bigC(product(c,a),c,product(product(c,a),product(c,a))) = bigC(product(c,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,a)) )],[refute_0_1580,refute_0_2025]) ).

cnf(refute_0_2027,plain,
    ( bigC(product(c,a),c,product(c,a)) != product(c,bigC(a,a,c))
    | bigC(product(c,a),c,product(product(c,a),product(c,a))) != bigC(product(c,a),c,product(c,a))
    | bigC(product(c,a),c,product(product(c,a),product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),c,product(product(c,a),product(c,a))))),bind(Y,$fot(bigC(product(c,a),c,product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_2028,plain,
    ( bigC(product(c,a),c,product(c,a)) != product(c,bigC(a,a,c))
    | bigC(product(c,a),c,product(product(c,a),product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,product(product(c,a),product(c,a))),bigC(product(c,a),c,product(c,a))) )],[refute_0_2026,refute_0_2027]) ).

cnf(refute_0_2029,plain,
    bigC(product(c,a),c,product(product(c,a),product(c,a))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_2022,refute_0_2028]) ).

cnf(refute_0_2030,plain,
    product(X_65,product(X_66,product(X_19,X_65))) = product(product(X_65,X_66),product(X_65,product(X_19,X_65))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(X_19,X_65)))]]) ).

cnf(refute_0_2031,plain,
    ( product(X_65,product(X_19,X_65)) != bigC(X_65,X_65,X_19)
    | product(X_65,product(X_66,product(X_19,X_65))) != product(product(X_65,X_66),product(X_65,product(X_19,X_65)))
    | product(X_65,product(X_66,product(X_19,X_65))) = product(product(X_65,X_66),bigC(X_65,X_65,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_65,product(X_66,product(X_19,X_65))),product(product(X_65,X_66),product(X_65,product(X_19,X_65)))) ),[1,1],$fot(bigC(X_65,X_65,X_19))]]) ).

cnf(refute_0_2032,plain,
    ( product(X_65,product(X_66,product(X_19,X_65))) != product(product(X_65,X_66),product(X_65,product(X_19,X_65)))
    | product(X_65,product(X_66,product(X_19,X_65))) = product(product(X_65,X_66),bigC(X_65,X_65,X_19)) ),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_19,X_65)),bigC(X_65,X_65,X_19)) )],[refute_0_375,refute_0_2031]) ).

cnf(refute_0_2033,plain,
    product(X_65,product(X_66,product(X_19,X_65))) = product(product(X_65,X_66),bigC(X_65,X_65,X_19)),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_66,product(X_19,X_65))),product(product(X_65,X_66),product(X_65,product(X_19,X_65)))) )],[refute_0_2030,refute_0_2032]) ).

cnf(refute_0_2034,plain,
    bigC(X_45,X_46,quotient(bigC(X_45,X_45,X_22),X_45)) = product(product(X_45,X_46),bigC(X_45,X_45,X_22)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(bigC(X_45,X_45,X_22))),bind(X_17,$fot(X_45)),bind(X_18,$fot(X_46))]]) ).

cnf(refute_0_2035,plain,
    quotient(bigC(X_45,X_45,X_22),X_45) = product(X_45,X_22),
    inference(subst,[],[refute_0_250:[bind(B,$fot(X_45))]]) ).

cnf(refute_0_2036,plain,
    ( bigC(X_45,X_46,quotient(bigC(X_45,X_45,X_22),X_45)) != product(product(X_45,X_46),bigC(X_45,X_45,X_22))
    | quotient(bigC(X_45,X_45,X_22),X_45) != product(X_45,X_22)
    | bigC(X_45,X_46,product(X_45,X_22)) = product(product(X_45,X_46),bigC(X_45,X_45,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_45,X_46,quotient(bigC(X_45,X_45,X_22),X_45)),product(product(X_45,X_46),bigC(X_45,X_45,X_22))) ),[0,2],$fot(product(X_45,X_22))]]) ).

cnf(refute_0_2037,plain,
    ( bigC(X_45,X_46,quotient(bigC(X_45,X_45,X_22),X_45)) != product(product(X_45,X_46),bigC(X_45,X_45,X_22))
    | bigC(X_45,X_46,product(X_45,X_22)) = product(product(X_45,X_46),bigC(X_45,X_45,X_22)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_45,X_45,X_22),X_45),product(X_45,X_22)) )],[refute_0_2035,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    bigC(X_45,X_46,product(X_45,X_22)) = product(product(X_45,X_46),bigC(X_45,X_45,X_22)),
    inference(resolve,[$cnf( $equal(bigC(X_45,X_46,quotient(bigC(X_45,X_45,X_22),X_45)),product(product(X_45,X_46),bigC(X_45,X_45,X_22))) )],[refute_0_2034,refute_0_2037]) ).

cnf(refute_0_2039,plain,
    ( bigC(X_45,X_46,product(X_45,X_22)) != product(product(X_45,X_46),bigC(X_45,X_45,X_22))
    | product(product(X_45,X_46),bigC(X_45,X_45,X_22)) = bigC(X_45,X_46,product(X_45,X_22)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_45,X_46,product(X_45,X_22)))),bind(Y,$fot(product(product(X_45,X_46),bigC(X_45,X_45,X_22))))]]) ).

cnf(refute_0_2040,plain,
    product(product(X_45,X_46),bigC(X_45,X_45,X_22)) = bigC(X_45,X_46,product(X_45,X_22)),
    inference(resolve,[$cnf( $equal(bigC(X_45,X_46,product(X_45,X_22)),product(product(X_45,X_46),bigC(X_45,X_45,X_22))) )],[refute_0_2038,refute_0_2039]) ).

cnf(refute_0_2041,plain,
    product(product(X_65,X_66),bigC(X_65,X_65,X_19)) = bigC(X_65,X_66,product(X_65,X_19)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(X_19)),bind(X_45,$fot(X_65)),bind(X_46,$fot(X_66))]]) ).

cnf(refute_0_2042,plain,
    ( product(X_65,product(X_66,product(X_19,X_65))) != product(product(X_65,X_66),bigC(X_65,X_65,X_19))
    | product(product(X_65,X_66),bigC(X_65,X_65,X_19)) != bigC(X_65,X_66,product(X_65,X_19))
    | product(X_65,product(X_66,product(X_19,X_65))) = bigC(X_65,X_66,product(X_65,X_19)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(X_65,product(X_66,product(X_19,X_65))),bigC(X_65,X_66,product(X_65,X_19))) ),[0],$fot(product(product(X_65,X_66),bigC(X_65,X_65,X_19)))]]) ).

cnf(refute_0_2043,plain,
    ( product(X_65,product(X_66,product(X_19,X_65))) != product(product(X_65,X_66),bigC(X_65,X_65,X_19))
    | product(X_65,product(X_66,product(X_19,X_65))) = bigC(X_65,X_66,product(X_65,X_19)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),bigC(X_65,X_65,X_19)),bigC(X_65,X_66,product(X_65,X_19))) )],[refute_0_2041,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    product(X_65,product(X_66,product(X_19,X_65))) = bigC(X_65,X_66,product(X_65,X_19)),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_66,product(X_19,X_65))),product(product(X_65,X_66),bigC(X_65,X_65,X_19))) )],[refute_0_2033,refute_0_2043]) ).

cnf(refute_0_2045,plain,
    product(product(c,a),product(c,product(product(c,a),product(c,a)))) = bigC(product(c,a),c,product(product(c,a),product(c,a))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(product(c,a))),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_2046,plain,
    ( bigC(product(c,a),c,product(product(c,a),product(c,a))) != product(c,bigC(a,a,c))
    | product(product(c,a),product(c,product(product(c,a),product(c,a)))) != bigC(product(c,a),c,product(product(c,a),product(c,a)))
    | product(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(c,product(product(c,a),product(c,a)))))),bind(Y,$fot(bigC(product(c,a),c,product(product(c,a),product(c,a))))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_2047,plain,
    ( bigC(product(c,a),c,product(product(c,a),product(c,a))) != product(c,bigC(a,a,c))
    | product(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(product(c,a),product(c,a)))),bigC(product(c,a),c,product(product(c,a),product(c,a)))) )],[refute_0_2045,refute_0_2046]) ).

cnf(refute_0_2048,plain,
    product(product(c,a),product(c,product(product(c,a),product(c,a)))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,product(product(c,a),product(c,a))),product(c,bigC(a,a,c))) )],[refute_0_2029,refute_0_2047]) ).

cnf(refute_0_2049,plain,
    ( product(product(c,a),product(c,product(product(c,a),product(c,a)))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(product(c,a),product(c,product(product(c,a),product(c,a))))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(product(c,a),product(c,product(product(c,a),product(c,a))))) ),[1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_2050,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(product(c,a),product(c,product(product(c,a),product(c,a))))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(product(c,a),product(c,a)))),product(c,bigC(a,a,c))) )],[refute_0_2048,refute_0_2049]) ).

cnf(refute_0_2051,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),product(c,product(product(c,a),product(c,a))))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(product(c,a),product(c,product(product(c,a),product(c,a))))) )],[refute_0_1975,refute_0_2050]) ).

cnf(refute_0_2052,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),product(b,c))),product(product(c,a),product(c,product(product(c,a),product(c,a))))) )],[refute_0_782,refute_0_2051]) ).

cnf(refute_0_2053,plain,
    difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(X_97,X_98))),bind(X_16,$fot(product(X_96,X_98)))]]) ).

cnf(refute_0_2054,plain,
    product(product(X_96,X_97),X_98) = product(product(X_96,X_98),product(X_97,X_98)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(X_97)),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_2055,plain,
    ( product(product(X_96,X_97),X_98) != product(product(X_96,X_98),product(X_97,X_98))
    | product(product(X_96,X_98),product(X_97,X_98)) = product(product(X_96,X_97),X_98) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,X_97),X_98))),bind(Y,$fot(product(product(X_96,X_98),product(X_97,X_98))))]]) ).

cnf(refute_0_2056,plain,
    product(product(X_96,X_98),product(X_97,X_98)) = product(product(X_96,X_97),X_98),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_97),X_98),product(product(X_96,X_98),product(X_97,X_98))) )],[refute_0_2054,refute_0_2055]) ).

cnf(refute_0_2057,plain,
    ( difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(X_97,X_98)) != product(product(X_96,X_97),X_98)
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,X_98),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))) ),[1,1],$fot(product(product(X_96,X_97),X_98))]]) ).

cnf(refute_0_2058,plain,
    ( difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,X_98),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_97,X_98)),product(product(X_96,X_97),X_98)) )],[refute_0_2056,refute_0_2057]) ).

cnf(refute_0_2059,plain,
    difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,X_98),product(product(X_96,X_97),X_98)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))) )],[refute_0_2053,refute_0_2058]) ).

cnf(refute_0_2060,plain,
    product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(X_96)),bind(B,$fot(X_98)),bind(C,$fot(product(X_96,X_98))),bind(X_36,$fot(X_97))]]) ).

cnf(refute_0_2061,plain,
    difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) = product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))),
    inference(subst,[],[refute_0_1009:[bind(B,$fot(X_96)),bind(D,$fot(X_98)),bind(X_29,$fot(product(X_97,X_98)))]]) ).

cnf(refute_0_2062,plain,
    ( difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))) != product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))
    | difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)))),bind(Y,$fot(product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))))),bind(Z,$fot(product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))))]]) ).

cnf(refute_0_2063,plain,
    ( product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))) != product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))
    | difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)),product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98)))) )],[refute_0_2061,refute_0_2062]) ).

cnf(refute_0_2064,plain,
    difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(product(X_96,X_98),product(X_97,X_98))),product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))) )],[refute_0_2060,refute_0_2063]) ).

cnf(refute_0_2065,plain,
    difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(product(X_97,X_98))),bind(B,$fot(X_96)),bind(C,$fot(product(X_96,X_98))),bind(D,$fot(X_98))]]) ).

cnf(refute_0_2066,plain,
    ( difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) != product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98))
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)))),bind(Y,$fot(difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)))),bind(Z,$fot(product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))))]]) ).

cnf(refute_0_2067,plain,
    ( difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)) != product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98))) )],[refute_0_2065,refute_0_2066]) ).

cnf(refute_0_2068,plain,
    difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) = product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),X_96),product(product(X_96,X_98),X_98)),product(X_96,X_98)),product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))) )],[refute_0_2064,refute_0_2067]) ).

cnf(refute_0_2069,plain,
    ( difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_97),X_98))
    | difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,X_98),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),product(product(X_96,X_98),product(product(X_96,X_97),X_98))) ),[0],$fot(product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)))]]) ).

cnf(refute_0_2070,plain,
    ( difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_97),X_98))
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,X_98),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97))) )],[refute_0_2068,refute_0_2069]) ).

cnf(refute_0_2071,plain,
    product(product(X_96,X_98),product(product(X_96,X_97),X_98)) = product(product(X_96,product(X_96,X_97)),X_98),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(X_96,X_97))),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_2072,plain,
    ( product(product(X_96,X_98),product(product(X_96,X_97),X_98)) != product(product(X_96,product(X_96,X_97)),X_98)
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) != product(product(X_96,X_98),product(product(X_96,X_97),X_98))
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,product(X_96,X_97)),X_98) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)),product(product(X_96,X_98),product(product(X_96,X_97),X_98))) ),[1],$fot(product(product(X_96,product(X_96,X_97)),X_98))]]) ).

cnf(refute_0_2073,plain,
    ( product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) != product(product(X_96,X_98),product(product(X_96,X_97),X_98))
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,product(X_96,X_97)),X_98) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(product(X_96,X_97),X_98)),product(product(X_96,product(X_96,X_97)),X_98)) )],[refute_0_2071,refute_0_2072]) ).

cnf(refute_0_2074,plain,
    ( difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)) != product(product(X_96,X_98),product(product(X_96,X_97),X_98))
    | product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,product(X_96,X_97)),X_98) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)),product(product(X_96,X_98),product(product(X_96,X_97),X_98))) )],[refute_0_2070,refute_0_2073]) ).

cnf(refute_0_2075,plain,
    product(product(X_96,product(X_96,X_98)),bigC(X_98,X_98,X_97)) = product(product(X_96,product(X_96,X_97)),X_98),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_97,X_98),product(X_96,X_98)),product(X_96,X_98)),product(X_96,X_98)),product(product(X_96,X_98),product(product(X_96,X_97),X_98))) )],[refute_0_2059,refute_0_2074]) ).

cnf(refute_0_2076,plain,
    product(product(c,product(c,a)),bigC(a,a,b)) = product(product(c,product(c,b)),a),
    inference(subst,[],[refute_0_2075:[bind(X_96,$fot(c)),bind(X_97,$fot(b)),bind(X_98,$fot(a))]]) ).

cnf(refute_0_2077,plain,
    product(product(X_96,product(c,a)),bigC(a,a,b)) = product(product(X_96,bigC(a,a,b)),product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(c,a))),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2078,plain,
    difference(product(product(product(X_30,X_18),X_30),X_30),X_30) = product(X_30,product(X_30,product(X_30,X_18))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(X_30,X_18))),bind(X_16,$fot(X_30))]]) ).

cnf(refute_0_2079,plain,
    bigC(X_30,X_18,X_30) = product(product(X_30,X_18),X_30),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_30))]]) ).

cnf(refute_0_2080,plain,
    ( bigC(X_30,X_18,X_30) != product(product(X_30,X_18),X_30)
    | product(product(X_30,X_18),X_30) = bigC(X_30,X_18,X_30) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_30,X_18,X_30))),bind(Y,$fot(product(product(X_30,X_18),X_30)))]]) ).

cnf(refute_0_2081,plain,
    product(product(X_30,X_18),X_30) = bigC(X_30,X_18,X_30),
    inference(resolve,[$cnf( $equal(bigC(X_30,X_18,X_30),product(product(X_30,X_18),X_30)) )],[refute_0_2079,refute_0_2080]) ).

cnf(refute_0_2082,plain,
    ( difference(product(product(product(X_30,X_18),X_30),X_30),X_30) != product(X_30,product(X_30,product(X_30,X_18)))
    | product(product(X_30,X_18),X_30) != bigC(X_30,X_18,X_30)
    | difference(product(bigC(X_30,X_18,X_30),X_30),X_30) = product(X_30,product(X_30,product(X_30,X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(X_30,X_18),X_30),X_30),X_30),product(X_30,product(X_30,product(X_30,X_18)))) ),[0,0,0],$fot(bigC(X_30,X_18,X_30))]]) ).

cnf(refute_0_2083,plain,
    ( difference(product(product(product(X_30,X_18),X_30),X_30),X_30) != product(X_30,product(X_30,product(X_30,X_18)))
    | difference(product(bigC(X_30,X_18,X_30),X_30),X_30) = product(X_30,product(X_30,product(X_30,X_18))) ),
    inference(resolve,[$cnf( $equal(product(product(X_30,X_18),X_30),bigC(X_30,X_18,X_30)) )],[refute_0_2081,refute_0_2082]) ).

cnf(refute_0_2084,plain,
    difference(product(bigC(X_30,X_18,X_30),X_30),X_30) = product(X_30,product(X_30,product(X_30,X_18))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_30,X_18),X_30),X_30),X_30),product(X_30,product(X_30,product(X_30,X_18)))) )],[refute_0_2078,refute_0_2083]) ).

cnf(refute_0_2085,plain,
    difference(product(bigC(product(c,a),product(b,c),product(c,a)),product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),
    inference(subst,[],[refute_0_2084:[bind(X_18,$fot(product(b,c))),bind(X_30,$fot(product(c,a)))]]) ).

cnf(refute_0_2086,plain,
    ( bigC(product(c,a),product(b,c),product(c,a)) != product(c,product(product(c,a),product(c,a)))
    | difference(product(bigC(product(c,a),product(b,c),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(product(c,a),product(b,c),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) ),[0,0,0],$fot(product(c,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_2087,plain,
    ( difference(product(bigC(product(c,a),product(b,c),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(c,a)),product(c,product(product(c,a),product(c,a)))) )],[refute_0_779,refute_0_2086]) ).

cnf(refute_0_2088,plain,
    difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(c,a),product(b,c),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) )],[refute_0_2085,refute_0_2087]) ).

cnf(refute_0_2089,plain,
    product(c,product(a,product(a,c))) = bigC(c,a,product(c,a)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_2090,plain,
    difference(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(X_65,X_66))),bind(X_16,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_2091,plain,
    ( difference(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_67)),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) ),[0,0,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_2092,plain,
    ( difference(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_2091]) ).

cnf(refute_0_2093,plain,
    difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(X_65,X_67)),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_2090,refute_0_2092]) ).

cnf(refute_0_2094,plain,
    product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) = product(X_65,product(product(X_66,X_67),X_67)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_65)),bind(X_25,$fot(product(X_66,X_67))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_2095,plain,
    difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),
    introduced(tautology,[refl,[$fot(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)))]]) ).

cnf(refute_0_2096,plain,
    ( difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) != difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67))
    | product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) != product(X_65,product(product(X_66,X_67),X_67))
    | difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67))) ),[1,0],$fot(product(X_65,product(product(X_66,X_67),X_67)))]]) ).

cnf(refute_0_2097,plain,
    ( product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) != product(X_65,product(product(X_66,X_67),X_67))
    | difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67))) )],[refute_0_2095,refute_0_2096]) ).

cnf(refute_0_2098,plain,
    difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) = difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)),
    inference(resolve,[$cnf( $equal(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,product(product(X_66,X_67),X_67))) )],[refute_0_2094,refute_0_2097]) ).

cnf(refute_0_2099,plain,
    ( difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) != difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67))
    | difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) ),[0],$fot(difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)))]]) ).

cnf(refute_0_2100,plain,
    ( difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67))) )],[refute_0_2098,refute_0_2099]) ).

cnf(refute_0_2101,plain,
    product(product(X_65,X_67),product(X_65,product(X_67,X_66))) = product(X_65,product(X_67,product(X_67,X_66))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_67)),bind(X_26,$fot(product(X_67,X_66)))]]) ).

cnf(refute_0_2102,plain,
    product(product(X_65,X_67),product(X_65,X_66)) = product(X_65,product(X_67,X_66)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_67)),bind(X_26,$fot(X_66))]]) ).

cnf(refute_0_2103,plain,
    product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),
    introduced(tautology,[refl,[$fot(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))))]]) ).

cnf(refute_0_2104,plain,
    ( product(product(X_65,X_67),product(X_65,X_66)) != product(X_65,product(X_67,X_66))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(product(X_65,X_67),product(X_65,product(X_67,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) ),[1,1],$fot(product(X_65,product(X_67,X_66)))]]) ).

cnf(refute_0_2105,plain,
    ( product(product(X_65,X_67),product(X_65,X_66)) != product(X_65,product(X_67,X_66))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(product(X_65,X_67),product(X_65,product(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_2103,refute_0_2104]) ).

cnf(refute_0_2106,plain,
    product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(product(X_65,X_67),product(X_65,product(X_67,X_66))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,product(X_67,X_66))) )],[refute_0_2102,refute_0_2105]) ).

cnf(refute_0_2107,plain,
    ( product(product(X_65,X_67),product(X_65,product(X_67,X_66))) != product(X_65,product(X_67,product(X_67,X_66)))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) != product(product(X_65,X_67),product(X_65,product(X_67,X_66)))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(X_65,product(X_67,product(X_67,X_66))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))))),bind(Y,$fot(product(product(X_65,X_67),product(X_65,product(X_67,X_66))))),bind(Z,$fot(product(X_65,product(X_67,product(X_67,X_66)))))]]) ).

cnf(refute_0_2108,plain,
    ( product(product(X_65,X_67),product(X_65,product(X_67,X_66))) != product(X_65,product(X_67,product(X_67,X_66)))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(X_65,product(X_67,product(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),product(product(X_65,X_67),product(X_65,product(X_67,X_66)))) )],[refute_0_2106,refute_0_2107]) ).

cnf(refute_0_2109,plain,
    product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) = product(X_65,product(X_67,product(X_67,X_66))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_67),product(X_65,product(X_67,X_66))),product(X_65,product(X_67,product(X_67,X_66)))) )],[refute_0_2101,refute_0_2108]) ).

cnf(refute_0_2110,plain,
    ( difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))) != product(X_65,product(X_67,product(X_67,X_66)))
    | difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(X_65,product(X_67,product(X_67,X_66))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)),product(X_65,product(X_67,product(X_67,X_66)))) ),[0],$fot(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))))]]) ).

cnf(refute_0_2111,plain,
    ( difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(X_65,product(X_67,product(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66))),product(X_65,product(X_67,product(X_67,X_66)))) )],[refute_0_2109,refute_0_2110]) ).

cnf(refute_0_2112,plain,
    ( difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)) != product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))
    | difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(X_65,product(X_67,product(X_67,X_66))) ),
    inference(resolve,[$cnf( $equal(difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_2100,refute_0_2111]) ).

cnf(refute_0_2113,plain,
    difference(product(X_65,product(product(X_66,X_67),X_67)),product(X_65,X_67)) = product(X_65,product(X_67,product(X_67,X_66))),
    inference(resolve,[$cnf( $equal(difference(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,X_67)),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) )],[refute_0_2093,refute_0_2112]) ).

cnf(refute_0_2114,plain,
    difference(product(c,product(product(c,a),a)),product(c,a)) = product(c,product(a,product(a,c))),
    inference(subst,[],[refute_0_2113:[bind(X_65,$fot(c)),bind(X_66,$fot(c)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_2115,plain,
    ( difference(product(c,product(product(c,a),a)),product(c,a)) != product(c,product(a,product(a,c)))
    | product(c,product(a,product(a,c))) != bigC(c,a,product(c,a))
    | difference(product(c,product(product(c,a),a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,product(product(c,a),a)),product(c,a)))),bind(Y,$fot(product(c,product(a,product(a,c))))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_2116,plain,
    ( product(c,product(a,product(a,c))) != bigC(c,a,product(c,a))
    | difference(product(c,product(product(c,a),a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(c,a),a)),product(c,a)),product(c,product(a,product(a,c)))) )],[refute_0_2114,refute_0_2115]) ).

cnf(refute_0_2117,plain,
    difference(product(c,product(product(c,a),a)),product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(a,c))),bigC(c,a,product(c,a))) )],[refute_0_2089,refute_0_2116]) ).

cnf(refute_0_2118,plain,
    product(product(product(c,a),product(c,a)),a) = product(product(product(c,a),product(c,a)),a),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),product(c,a)),a))]]) ).

cnf(refute_0_2119,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | product(product(product(c,a),product(c,a)),a) != product(product(product(c,a),product(c,a)),a)
    | product(product(product(c,a),product(c,a)),a) = product(product(c,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),product(c,a)),a),product(product(product(c,a),product(c,a)),a)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_2120,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | product(product(product(c,a),product(c,a)),a) = product(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(c,a)),a),product(product(product(c,a),product(c,a)),a)) )],[refute_0_2118,refute_0_2119]) ).

cnf(refute_0_2121,plain,
    product(product(product(c,a),product(c,a)),a) = product(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,a)) )],[refute_0_1580,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    product(c,product(product(product(c,a),product(c,a)),a)) = product(c,product(product(product(c,a),product(c,a)),a)),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(c,a),product(c,a)),a)))]]) ).

cnf(refute_0_2123,plain,
    ( product(c,product(product(product(c,a),product(c,a)),a)) != product(c,product(product(product(c,a),product(c,a)),a))
    | product(product(product(c,a),product(c,a)),a) != product(product(c,a),a)
    | product(c,product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(c,a),product(c,a)),a)),product(c,product(product(product(c,a),product(c,a)),a))) ),[1,1],$fot(product(product(c,a),a))]]) ).

cnf(refute_0_2124,plain,
    ( product(product(product(c,a),product(c,a)),a) != product(product(c,a),a)
    | product(c,product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,a),product(c,a)),a)),product(c,product(product(product(c,a),product(c,a)),a))) )],[refute_0_2122,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    product(c,product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(c,a)),a),product(product(c,a),a)) )],[refute_0_2121,refute_0_2124]) ).

cnf(refute_0_2126,plain,
    product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(product(c,c),product(product(product(c,a),product(c,a)),a)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(product(c,a),product(c,a)),a)))]]) ).

cnf(refute_0_2127,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) != product(product(c,c),product(product(product(c,a),product(c,a)),a))
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(product(c,a),product(c,a)),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(product(c,c),product(product(product(c,a),product(c,a)),a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2128,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(product(c,a),product(c,a)),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(product(c,c),product(product(product(c,a),product(c,a)),a))) )],[refute_0_2126,refute_0_2127]) ).

cnf(refute_0_2129,plain,
    product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(product(c,a),product(c,a)),a)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_2128]) ).

cnf(refute_0_2130,plain,
    ( product(c,product(product(product(c,a),product(c,a)),a)) != product(c,product(product(c,a),a))
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) != product(c,product(product(product(c,a),product(c,a)),a))
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(product(c,a),product(c,a)),a)))),bind(Y,$fot(product(c,product(product(product(c,a),product(c,a)),a)))),bind(Z,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_2131,plain,
    ( product(c,product(product(product(c,a),product(c,a)),a)) != product(c,product(product(c,a),a))
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,product(product(product(c,a),product(c,a)),a))) )],[refute_0_2129,refute_0_2130]) ).

cnf(refute_0_2132,plain,
    product(product(c,c),product(product(product(c,a),product(c,a)),a)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,a),product(c,a)),a)),product(c,product(product(c,a),a))) )],[refute_0_2125,refute_0_2131]) ).

cnf(refute_0_2133,plain,
    difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)))]]) ).

cnf(refute_0_2134,plain,
    ( difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) != difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a))
    | product(product(c,c),product(product(product(c,a),product(c,a)),a)) != product(c,product(product(c,a),a))
    | difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = difference(product(c,product(product(c,a),a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a))) ),[1,0],$fot(product(c,product(product(c,a),a)))]]) ).

cnf(refute_0_2135,plain,
    ( product(product(c,c),product(product(product(c,a),product(c,a)),a)) != product(c,product(product(c,a),a))
    | difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = difference(product(c,product(product(c,a),a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a))) )],[refute_0_2133,refute_0_2134]) ).

cnf(refute_0_2136,plain,
    difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = difference(product(c,product(product(c,a),a)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,product(product(c,a),a))) )],[refute_0_2132,refute_0_2135]) ).

cnf(refute_0_2137,plain,
    ( difference(product(c,product(product(c,a),a)),product(c,a)) != bigC(c,a,product(c,a))
    | difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) != difference(product(c,product(product(c,a),a)),product(c,a))
    | difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)))),bind(Y,$fot(difference(product(c,product(product(c,a),a)),product(c,a)))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_2138,plain,
    ( difference(product(c,product(product(c,a),a)),product(c,a)) != bigC(c,a,product(c,a))
    | difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),difference(product(c,product(product(c,a),a)),product(c,a))) )],[refute_0_2136,refute_0_2137]) ).

cnf(refute_0_2139,plain,
    difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(c,a),a)),product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_2117,refute_0_2138]) ).

cnf(refute_0_2140,plain,
    difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(product(c,a),product(c,a)))),bind(D,$fot(a))]]) ).

cnf(refute_0_2141,plain,
    ( difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) != bigC(c,a,product(c,a))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) != difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)))),bind(Y,$fot(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_2142,plain,
    ( difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)) != bigC(c,a,product(c,a))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)),difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a))) )],[refute_0_2140,refute_0_2141]) ).

cnf(refute_0_2143,plain,
    difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(product(product(c,a),product(c,a)),a)),product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_2139,refute_0_2142]) ).

cnf(refute_0_2144,plain,
    ( difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) != bigC(c,a,product(c,a))
    | difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | bigC(c,a,product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) ),[0],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_2145,plain,
    ( difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | bigC(c,a,product(c,a)) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_2143,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(c,a),c) != bigC(c,a,c)
    | product(product(c,a),c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),c))),bind(Y,$fot(bigC(c,a,c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2147,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(c,a),c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(c,a,c)) )],[refute_0_890,refute_0_2146]) ).

cnf(refute_0_2148,plain,
    product(product(c,a),c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_2147]) ).

cnf(refute_0_2149,plain,
    product(product(c,a),product(b,c)) = bigC(c,a,b),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_2150,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_32:[bind(X,$fot(product(product(c,a),product(b,c)))),bind(Y,$fot(bigC(c,a,b))),bind(Z,$fot(c))]]) ).

cnf(refute_0_2151,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_2149,refute_0_2150]) ).

cnf(refute_0_2152,plain,
    product(product(c,a),product(b,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    product(product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),product(product(c,a),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(c,a),product(b,c))))]]) ).

cnf(refute_0_2154,plain,
    ( product(product(c,a),product(b,c)) != c
    | product(product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),product(product(c,a),product(b,c)))
    | product(product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(c,a),product(b,c))),product(product(c,a),product(product(c,a),product(b,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2155,plain,
    ( product(product(c,a),product(b,c)) != c
    | product(product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(b,c))),product(product(c,a),product(product(c,a),product(b,c)))) )],[refute_0_2153,refute_0_2154]) ).

cnf(refute_0_2156,plain,
    product(product(c,a),product(product(c,a),product(b,c))) = product(product(c,a),c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,c)),c) )],[refute_0_2152,refute_0_2155]) ).

cnf(refute_0_2157,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | product(product(c,a),product(product(c,a),product(b,c))) != product(product(c,a),c)
    | product(product(c,a),product(product(c,a),product(b,c))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,a),product(b,c))))),bind(Y,$fot(product(product(c,a),c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2158,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | product(product(c,a),product(product(c,a),product(b,c))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(b,c))),product(product(c,a),c)) )],[refute_0_2156,refute_0_2157]) ).

cnf(refute_0_2159,plain,
    product(product(c,a),product(product(c,a),product(b,c))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_2158]) ).

cnf(refute_0_2160,plain,
    product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))))]]) ).

cnf(refute_0_2161,plain,
    ( product(product(c,a),product(product(c,a),product(b,c))) != bigC(a,a,b)
    | product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2162,plain,
    ( product(product(c,a),product(product(c,a),product(b,c))) != bigC(a,a,b)
    | product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) )],[refute_0_2160,refute_0_2161]) ).

cnf(refute_0_2163,plain,
    product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(b,c))),bigC(a,a,b)) )],[refute_0_2159,refute_0_2162]) ).

cnf(refute_0_2164,plain,
    ( bigC(c,a,product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(c,a),bigC(a,a,b))
    | bigC(c,a,product(c,a)) = product(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,a,product(c,a)),product(product(c,a),bigC(a,a,b))) ),[0],$fot(product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))))]]) ).

cnf(refute_0_2165,plain,
    ( bigC(c,a,product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | bigC(c,a,product(c,a)) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(c,a),bigC(a,a,b))) )],[refute_0_2163,refute_0_2164]) ).

cnf(refute_0_2166,plain,
    ( difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))
    | bigC(c,a,product(c,a)) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) )],[refute_0_2145,refute_0_2165]) ).

cnf(refute_0_2167,plain,
    bigC(c,a,product(c,a)) = product(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),product(c,a))),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),product(b,c))))) )],[refute_0_2088,refute_0_2166]) ).

cnf(refute_0_2168,plain,
    product(quotient(bigC(c,a,product(c,a)),product(c,a)),product(c,a)) = bigC(c,a,product(c,a)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(bigC(c,a,product(c,a)))),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_2169,plain,
    quotient(product(product(c,a),bigC(a,a,b)),product(c,a)) = product(product(c,a),quotient(bigC(a,a,b),product(c,a))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(c,a))),bind(X_44,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2170,plain,
    ( bigC(c,a,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | product(product(c,a),bigC(a,a,b)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,a,product(c,a)))),bind(Y,$fot(product(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_2171,plain,
    product(product(c,a),bigC(a,a,b)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),product(product(c,a),bigC(a,a,b))) )],[refute_0_2167,refute_0_2170]) ).

cnf(refute_0_2172,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | quotient(product(product(c,a),bigC(a,a,b)),product(c,a)) != product(product(c,a),quotient(bigC(a,a,b),product(c,a)))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) = product(product(c,a),quotient(bigC(a,a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),bigC(a,a,b)),product(c,a)),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) ),[0,0],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_2173,plain,
    ( quotient(product(product(c,a),bigC(a,a,b)),product(c,a)) != product(product(c,a),quotient(bigC(a,a,b),product(c,a)))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) = product(product(c,a),quotient(bigC(a,a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(c,a,product(c,a))) )],[refute_0_2171,refute_0_2172]) ).

cnf(refute_0_2174,plain,
    quotient(bigC(c,a,product(c,a)),product(c,a)) = product(product(c,a),quotient(bigC(a,a,b),product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),bigC(a,a,b)),product(c,a)),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) )],[refute_0_2169,refute_0_2173]) ).

cnf(refute_0_2175,plain,
    product(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(a,a,c),
    inference(subst,[],[refute_0_11:[bind(A,$fot(bigC(b,a,b))),bind(B,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_2176,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | product(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != bigC(a,a,c)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),bigC(a,a,c)) ),[0,0,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_2177,plain,
    ( product(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != bigC(a,a,c)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_2176]) ).

cnf(refute_0_2178,plain,
    product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),bigC(a,a,c)) )],[refute_0_2175,refute_0_2177]) ).

cnf(refute_0_2179,plain,
    product(product(c,a),product(a,c)) = bigC(c,a,a),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_2180,plain,
    product(a,product(product(c,a),product(b,c))) = product(a,product(product(c,a),product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,a),product(b,c))))]]) ).

cnf(refute_0_2181,plain,
    ( product(a,product(product(c,a),product(b,c))) != product(a,product(product(c,a),product(b,c)))
    | product(product(c,a),product(b,c)) != c
    | product(a,product(product(c,a),product(b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,a),product(b,c))),product(a,product(product(c,a),product(b,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2182,plain,
    ( product(product(c,a),product(b,c)) != c
    | product(a,product(product(c,a),product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,a),product(b,c))),product(a,product(product(c,a),product(b,c)))) )],[refute_0_2180,refute_0_2181]) ).

cnf(refute_0_2183,plain,
    product(a,product(product(c,a),product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,c)),c) )],[refute_0_2152,refute_0_2182]) ).

cnf(refute_0_2184,plain,
    product(bigC(a,a,c),product(a,product(b,c))) = product(a,product(product(c,a),product(b,c))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(c)),bind(X_65,$fot(a)),bind(X_67,$fot(product(b,c)))]]) ).

cnf(refute_0_2185,plain,
    ( product(a,product(product(c,a),product(b,c))) != product(a,c)
    | product(bigC(a,a,c),product(a,product(b,c))) != product(a,product(product(c,a),product(b,c)))
    | product(bigC(a,a,c),product(a,product(b,c))) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(a,product(b,c))))),bind(Y,$fot(product(a,product(product(c,a),product(b,c))))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_2186,plain,
    ( product(a,product(product(c,a),product(b,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(a,product(product(c,a),product(b,c)))) )],[refute_0_2184,refute_0_2185]) ).

cnf(refute_0_2187,plain,
    product(bigC(a,a,c),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,a),product(b,c))),product(a,c)) )],[refute_0_2183,refute_0_2186]) ).

cnf(refute_0_2188,plain,
    product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_2189,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(bigC(a,a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_2190,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(bigC(a,a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) )],[refute_0_2188,refute_0_2189]) ).

cnf(refute_0_2191,plain,
    product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(bigC(a,a,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_1772,refute_0_2190]) ).

cnf(refute_0_2192,plain,
    ( product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != product(bigC(a,a,c),product(a,product(b,c)))
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))),bind(Y,$fot(product(bigC(a,a,c),product(a,product(b,c))))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_2193,plain,
    ( product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),product(bigC(a,a,c),product(a,product(b,c)))) )],[refute_0_2191,refute_0_2192]) ).

cnf(refute_0_2194,plain,
    product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,product(b,c))),product(a,c)) )],[refute_0_2187,refute_0_2193]) ).

cnf(refute_0_2195,plain,
    product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))))]]) ).

cnf(refute_0_2196,plain,
    ( product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != product(a,c)
    | product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))
    | product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2197,plain,
    ( product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != product(a,c)
    | product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))) )],[refute_0_2195,refute_0_2196]) ).

cnf(refute_0_2198,plain,
    product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),product(a,c)) )],[refute_0_2194,refute_0_2197]) ).

cnf(refute_0_2199,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_2200,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_2201,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_2199,refute_0_2200]) ).

cnf(refute_0_2202,plain,
    product(c,bigC(a,a,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_2201]) ).

cnf(refute_0_2203,plain,
    bigC(c,c,c) = c,
    inference(subst,[],[refute_0_329:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_2204,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_2205,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_2206,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_2204,refute_0_2205]) ).

cnf(refute_0_2207,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_2203,refute_0_2206]) ).

cnf(refute_0_2208,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_32:[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_2209,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_2207,refute_0_2208]) ).

cnf(refute_0_2210,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_2202,refute_0_2209]) ).

cnf(refute_0_2211,plain,
    product(product(c,product(c,a)),bigC(a,a,c)) = product(bigC(c,c,c),bigC(a,a,a)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(a))]]) ).

cnf(refute_0_2212,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_32:[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_2213,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_2211,refute_0_2212]) ).

cnf(refute_0_2214,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_2210,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))))]]) ).

cnf(refute_0_2216,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_2217,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))) )],[refute_0_2215,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,c)),product(c,a)) )],[refute_0_2214,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    ( product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(c,a),product(a,c))
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))))),bind(Y,$fot(product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))))),bind(Z,$fot(product(product(c,a),product(a,c))))]]) ).

cnf(refute_0_2220,plain,
    ( product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(c,a),product(a,c))
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))) )],[refute_0_2218,refute_0_2219]) ).

cnf(refute_0_2221,plain,
    product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(c,a),product(a,c))) )],[refute_0_2198,refute_0_2220]) ).

cnf(refute_0_2222,plain,
    ( product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(c,a),product(a,c))
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(c,a,a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))))),bind(Y,$fot(product(product(c,a),product(a,c)))),bind(Z,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_2223,plain,
    ( product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(c,a),product(a,c))) )],[refute_0_2221,refute_0_2222]) ).

cnf(refute_0_2224,plain,
    product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(c,a,a)) )],[refute_0_2179,refute_0_2223]) ).

cnf(refute_0_2225,plain,
    ( product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != bigC(a,a,c)
    | product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != bigC(c,a,a)
    | bigC(c,a,a) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),bigC(a,a,c)) ),[0],$fot(bigC(c,a,a))]]) ).

cnf(refute_0_2226,plain,
    ( product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != bigC(a,a,c)
    | bigC(c,a,a) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),bigC(c,a,a)) )],[refute_0_2224,refute_0_2225]) ).

cnf(refute_0_2227,plain,
    bigC(c,a,a) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),bigC(a,a,c)) )],[refute_0_2178,refute_0_2226]) ).

cnf(refute_0_2228,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_32:[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_2229,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_2179,refute_0_2228]) ).

cnf(refute_0_2230,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_2227,refute_0_2229]) ).

cnf(refute_0_2231,plain,
    quotient(product(product(c,a),c),product(c,a)) = product(product(c,a),quotient(c,product(c,a))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(c,a))),bind(X_44,$fot(c))]]) ).

cnf(refute_0_2232,plain,
    quotient(c,difference(product(a,b),c)) = product(a,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(a,b))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_2233,plain,
    difference(product(a,b),bigC(a,b,c)) = product(c,a),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(a)),bind(X_18,$fot(b)),bind(X_19,$fot(c))]]) ).

cnf(refute_0_2234,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_2235,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_1861,refute_0_2234]) ).

cnf(refute_0_2236,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_2233,refute_0_2235]) ).

cnf(refute_0_2237,plain,
    ( difference(product(a,b),c) != product(c,a)
    | quotient(c,difference(product(a,b),c)) != product(a,b)
    | quotient(c,product(c,a)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(a,b),c)),product(a,b)) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_2238,plain,
    ( quotient(c,difference(product(a,b),c)) != product(a,b)
    | quotient(c,product(c,a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),c),product(c,a)) )],[refute_0_2236,refute_0_2237]) ).

cnf(refute_0_2239,plain,
    quotient(c,product(c,a)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(a,b),c)),product(a,b)) )],[refute_0_2232,refute_0_2238]) ).

cnf(refute_0_2240,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),quotient(c,product(c,a)))
    | quotient(product(product(c,a),c),product(c,a)) = product(product(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),product(product(c,a),quotient(c,product(c,a)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_2241,plain,
    ( quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),quotient(c,product(c,a)))
    | quotient(product(product(c,a),c),product(c,a)) = product(product(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_2239,refute_0_2240]) ).

cnf(refute_0_2242,plain,
    quotient(product(product(c,a),c),product(c,a)) = product(product(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),product(product(c,a),quotient(c,product(c,a)))) )],[refute_0_2231,refute_0_2241]) ).

cnf(refute_0_2243,plain,
    quotient(bigC(c,a,c),product(c,a)) = quotient(bigC(c,a,c),product(c,a)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,c),product(c,a)))]]) ).

cnf(refute_0_2244,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(bigC(c,a,c),product(c,a)) != quotient(bigC(c,a,c),product(c,a))
    | quotient(bigC(c,a,c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(c,a)),quotient(bigC(c,a,c),product(c,a))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2245,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(bigC(c,a,c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,a)),quotient(bigC(c,a,c),product(c,a))) )],[refute_0_2243,refute_0_2244]) ).

cnf(refute_0_2246,plain,
    quotient(bigC(c,a,c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_2245]) ).

cnf(refute_0_2247,plain,
    product(product(c,a),quotient(c,product(c,a))) = quotient(bigC(c,a,c),product(c,a)),
    inference(subst,[],[refute_0_1192:[bind(X_18,$fot(a)),bind(X_55,$fot(c))]]) ).

cnf(refute_0_2248,plain,
    ( product(product(c,a),quotient(c,product(c,a))) != quotient(bigC(c,a,c),product(c,a))
    | quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),quotient(c,product(c,a)))
    | quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(c,a,c),product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),c),product(c,a)))),bind(Y,$fot(product(product(c,a),quotient(c,product(c,a))))),bind(Z,$fot(quotient(bigC(c,a,c),product(c,a))))]]) ).

cnf(refute_0_2249,plain,
    ( product(product(c,a),quotient(c,product(c,a))) != quotient(bigC(c,a,c),product(c,a))
    | quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(c,a,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),product(product(c,a),quotient(c,product(c,a)))) )],[refute_0_2231,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(c,a,c),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(c,product(c,a))),quotient(bigC(c,a,c),product(c,a))) )],[refute_0_2247,refute_0_2249]) ).

cnf(refute_0_2251,plain,
    ( quotient(bigC(c,a,c),product(c,a)) != quotient(bigC(a,a,b),product(c,a))
    | quotient(product(product(c,a),c),product(c,a)) != quotient(bigC(c,a,c),product(c,a))
    | quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),c),product(c,a)))),bind(Y,$fot(quotient(bigC(c,a,c),product(c,a)))),bind(Z,$fot(quotient(bigC(a,a,b),product(c,a))))]]) ).

cnf(refute_0_2252,plain,
    ( quotient(bigC(c,a,c),product(c,a)) != quotient(bigC(a,a,b),product(c,a))
    | quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),quotient(bigC(c,a,c),product(c,a))) )],[refute_0_2250,refute_0_2251]) ).

cnf(refute_0_2253,plain,
    quotient(product(product(c,a),c),product(c,a)) = quotient(bigC(a,a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,a)),quotient(bigC(a,a,b),product(c,a))) )],[refute_0_2246,refute_0_2252]) ).

cnf(refute_0_2254,plain,
    ( quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),product(a,b))
    | quotient(product(product(c,a),c),product(c,a)) != quotient(bigC(a,a,b),product(c,a))
    | quotient(bigC(a,a,b),product(c,a)) = product(product(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),product(product(c,a),product(a,b))) ),[0],$fot(quotient(bigC(a,a,b),product(c,a)))]]) ).

cnf(refute_0_2255,plain,
    ( quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),product(a,b))
    | quotient(bigC(a,a,b),product(c,a)) = product(product(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),quotient(bigC(a,a,b),product(c,a))) )],[refute_0_2253,refute_0_2254]) ).

cnf(refute_0_2256,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_2257,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_2258,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_2256,refute_0_2257]) ).

cnf(refute_0_2259,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_878,refute_0_2258]) ).

cnf(refute_0_2260,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_2261,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_2259,refute_0_2260]) ).

cnf(refute_0_2262,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_834,refute_0_2261]) ).

cnf(refute_0_2263,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | quotient(bigC(a,a,b),product(c,a)) != product(product(c,a),product(a,b))
    | quotient(bigC(a,a,b),product(c,a)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(c,a)),product(product(c,a),product(a,b))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_2264,plain,
    ( quotient(bigC(a,a,b),product(c,a)) != product(product(c,a),product(a,b))
    | quotient(bigC(a,a,b),product(c,a)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_2262,refute_0_2263]) ).

cnf(refute_0_2265,plain,
    ( quotient(product(product(c,a),c),product(c,a)) != product(product(c,a),product(a,b))
    | quotient(bigC(a,a,b),product(c,a)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(c,a)),product(product(c,a),product(a,b))) )],[refute_0_2255,refute_0_2264]) ).

cnf(refute_0_2266,plain,
    quotient(bigC(a,a,b),product(c,a)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),c),product(c,a)),product(product(c,a),product(a,b))) )],[refute_0_2242,refute_0_2265]) ).

cnf(refute_0_2267,plain,
    product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = product(product(c,a),quotient(bigC(a,a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,a),quotient(bigC(a,a,b),product(c,a))))]]) ).

cnf(refute_0_2268,plain,
    ( product(product(c,a),quotient(bigC(a,a,b),product(c,a))) != product(product(c,a),quotient(bigC(a,a,b),product(c,a)))
    | quotient(bigC(a,a,b),product(c,a)) != product(a,c)
    | product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),quotient(bigC(a,a,b),product(c,a))),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2269,plain,
    ( quotient(bigC(a,a,b),product(c,a)) != product(a,c)
    | product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(bigC(a,a,b),product(c,a))),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) )],[refute_0_2267,refute_0_2268]) ).

cnf(refute_0_2270,plain,
    product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(c,a)),product(a,c)) )],[refute_0_2266,refute_0_2269]) ).

cnf(refute_0_2271,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | product(product(c,a),quotient(bigC(a,a,b),product(c,a))) != product(product(c,a),product(a,c))
    | product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),quotient(bigC(a,a,b),product(c,a))))),bind(Y,$fot(product(product(c,a),product(a,c)))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_2272,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(bigC(a,a,b),product(c,a))),product(product(c,a),product(a,c))) )],[refute_0_2270,refute_0_2271]) ).

cnf(refute_0_2273,plain,
    product(product(c,a),quotient(bigC(a,a,b),product(c,a))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(a,a,c)) )],[refute_0_2230,refute_0_2272]) ).

cnf(refute_0_2274,plain,
    ( product(product(c,a),quotient(bigC(a,a,b),product(c,a))) != bigC(a,a,c)
    | quotient(bigC(c,a,product(c,a)),product(c,a)) != product(product(c,a),quotient(bigC(a,a,b),product(c,a)))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),product(c,a)),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) ),[1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_2275,plain,
    ( quotient(bigC(c,a,product(c,a)),product(c,a)) != product(product(c,a),quotient(bigC(a,a,b),product(c,a)))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(bigC(a,a,b),product(c,a))),bigC(a,a,c)) )],[refute_0_2273,refute_0_2274]) ).

cnf(refute_0_2276,plain,
    quotient(bigC(c,a,product(c,a)),product(c,a)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),product(c,a)),product(product(c,a),quotient(bigC(a,a,b),product(c,a)))) )],[refute_0_2174,refute_0_2275]) ).

cnf(refute_0_2277,plain,
    ( product(quotient(bigC(c,a,product(c,a)),product(c,a)),product(c,a)) != bigC(c,a,product(c,a))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) != bigC(a,a,c)
    | product(bigC(a,a,c),product(c,a)) = bigC(c,a,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(bigC(c,a,product(c,a)),product(c,a)),product(c,a)),bigC(c,a,product(c,a))) ),[0,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_2278,plain,
    ( product(quotient(bigC(c,a,product(c,a)),product(c,a)),product(c,a)) != bigC(c,a,product(c,a))
    | product(bigC(a,a,c),product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),product(c,a)),bigC(a,a,c)) )],[refute_0_2276,refute_0_2277]) ).

cnf(refute_0_2279,plain,
    product(bigC(a,a,c),product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(c,a,product(c,a)),product(c,a)),product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_2168,refute_0_2278]) ).

cnf(refute_0_2280,plain,
    bigC(a,product(c,a),c) = bigC(a,c,product(c,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_2281,plain,
    bigC(A,product(X_36,A),C) = product(product(A,product(X_36,A)),product(C,A)),
    inference(subst,[],[refute_0_1:[bind(B,$fot(product(X_36,A)))]]) ).

cnf(refute_0_2282,plain,
    ( bigC(A,product(X_36,A),C) != product(product(A,product(X_36,A)),product(C,A))
    | product(A,product(X_36,A)) != bigC(A,A,X_36)
    | bigC(A,product(X_36,A),C) = product(bigC(A,A,X_36),product(C,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,product(X_36,A),C),product(product(A,product(X_36,A)),product(C,A))) ),[1,0],$fot(bigC(A,A,X_36))]]) ).

cnf(refute_0_2283,plain,
    ( bigC(A,product(X_36,A),C) != product(product(A,product(X_36,A)),product(C,A))
    | bigC(A,product(X_36,A),C) = product(bigC(A,A,X_36),product(C,A)) ),
    inference(resolve,[$cnf( $equal(product(A,product(X_36,A)),bigC(A,A,X_36)) )],[refute_0_389,refute_0_2282]) ).

cnf(refute_0_2284,plain,
    bigC(A,product(X_36,A),C) = product(bigC(A,A,X_36),product(C,A)),
    inference(resolve,[$cnf( $equal(bigC(A,product(X_36,A),C),product(product(A,product(X_36,A)),product(C,A))) )],[refute_0_2281,refute_0_2283]) ).

cnf(refute_0_2285,plain,
    ( bigC(A,product(X_36,A),C) != product(bigC(A,A,X_36),product(C,A))
    | product(bigC(A,A,X_36),product(C,A)) = bigC(A,product(X_36,A),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(A,product(X_36,A),C))),bind(Y,$fot(product(bigC(A,A,X_36),product(C,A))))]]) ).

cnf(refute_0_2286,plain,
    product(bigC(A,A,X_36),product(C,A)) = bigC(A,product(X_36,A),C),
    inference(resolve,[$cnf( $equal(bigC(A,product(X_36,A),C),product(bigC(A,A,X_36),product(C,A))) )],[refute_0_2284,refute_0_2285]) ).

cnf(refute_0_2287,plain,
    product(bigC(a,a,c),product(c,a)) = bigC(a,product(c,a),c),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(a)),bind(C,$fot(c)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_2288,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_32:[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_2289,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_2287,refute_0_2288]) ).

cnf(refute_0_2290,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_2280,refute_0_2289]) ).

cnf(refute_0_2291,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,c),product(c,a)) != bigC(c,a,product(c,a))
    | bigC(a,c,product(c,a)) = bigC(c,a,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(c,a)),bigC(c,a,product(c,a))) ),[0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_2292,plain,
    ( product(bigC(a,a,c),product(c,a)) != 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,c),product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2290,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    bigC(a,c,product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_2279,refute_0_2292]) ).

cnf(refute_0_2294,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_16:[bind(X,$fot(bigC(a,c,product(c,a)))),bind(Y,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_2295,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_2293,refute_0_2294]) ).

cnf(refute_0_2296,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | bigC(c,a,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | bigC(a,c,product(c,a)) = product(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,a,product(c,a)),product(product(c,a),bigC(a,a,b))) ),[0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_2297,plain,
    ( bigC(c,a,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | bigC(a,c,product(c,a)) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2295,refute_0_2296]) ).

cnf(refute_0_2298,plain,
    bigC(a,c,product(c,a)) = product(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),product(product(c,a),bigC(a,a,b))) )],[refute_0_2167,refute_0_2297]) ).

cnf(refute_0_2299,plain,
    difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) = bigC(a,c,product(c,a)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,bigC(a,a,b)))),bind(B,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2300,plain,
    bigC(quotient(product(c,a),bigC(c,a,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(c,a))),bind(X_22,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_2301,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b)))) = product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(product(a,b))),bind(X_16,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_2302,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b)))) != product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b)))),product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))) ),[0,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2303,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b)))) != product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(product(product(a,b),product(bigC(c,a,b),a)),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_834,refute_0_2302]) ).

cnf(refute_0_2304,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(product(product(a,b),product(bigC(c,a,b),a)),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(product(bigC(c,a,b),a),product(a,b)))),product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))) )],[refute_0_2301,refute_0_2303]) ).

cnf(refute_0_2305,plain,
    product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b))),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_2306,plain,
    product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)) = product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(bigC(c,a,b),a))),bind(D,$fot(a))]]) ).

cnf(refute_0_2307,plain,
    ( product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)) != product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a))
    | product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)))),bind(Y,$fot(product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)))),bind(Z,$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_2308,plain,
    ( product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(product(product(a,b),product(bigC(c,a,b),a)),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(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)),product(product(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a))) )],[refute_0_2306,refute_0_2307]) ).

cnf(refute_0_2309,plain,
    product(product(product(a,b),product(bigC(c,a,b),a)),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(product(a,b),bigC(c,a,b)),product(product(bigC(c,a,b),a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_2305,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    ( product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),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(product(product(a,b),product(bigC(c,a,b),a)),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,a,b)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))) ),[1],$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_2311,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != product(product(product(a,b),product(bigC(c,a,b),a)),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,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_2309,refute_0_2310]) ).

cnf(refute_0_2312,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,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(product(product(a,b),product(bigC(c,a,b),a)),product(bigC(c,a,b),a))) )],[refute_0_2304,refute_0_2311]) ).

cnf(refute_0_2313,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_2314,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_2315,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_2313,refute_0_2314]) ).

cnf(refute_0_2316,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_878,refute_0_2315]) ).

cnf(refute_0_2317,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_32:[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_2318,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_2316,refute_0_2317]) ).

cnf(refute_0_2319,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_2179,refute_0_2318]) ).

cnf(refute_0_2320,plain,
    quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_2321,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != bigC(c,a,a)
    | quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c)))) ),[1,1],$fot(bigC(c,a,a))]]) ).

cnf(refute_0_2322,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != bigC(c,a,a)
    | quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_2320,refute_0_2321]) ).

cnf(refute_0_2323,plain,
    quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,a,a)) )],[refute_0_2319,refute_0_2322]) ).

cnf(refute_0_2324,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_2325,plain,
    ( product(bigC(c,a,b),a) != product(c,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),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(c,a),product(product(bigC(c,a,b),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_2326,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,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,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_2324,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_878,refute_0_2326]) ).

cnf(refute_0_2328,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(c,a),bigC(c,a,a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))))),bind(Y,$fot(quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))))),bind(Z,$fot(quotient(product(c,a),bigC(c,a,a))))]]) ).

cnf(refute_0_2329,plain,
    ( quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(c,a),bigC(c,a,a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_2327,refute_0_2328]) ).

cnf(refute_0_2330,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(c,a),bigC(c,a,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(c,a),bigC(c,a,a))) )],[refute_0_2323,refute_0_2329]) ).

cnf(refute_0_2331,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(c,a),bigC(c,a,a))
    | quotient(product(c,a),bigC(c,a,a)) = 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(c,a),bigC(c,a,a)))]]) ).

cnf(refute_0_2332,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(c,a),bigC(c,a,a)) = 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(c,a),bigC(c,a,a))) )],[refute_0_2330,refute_0_2331]) ).

cnf(refute_0_2333,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_2334,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_2335,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_2333,refute_0_2334]) ).

cnf(refute_0_2336,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_878,refute_0_2335]) ).

cnf(refute_0_2337,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_2338,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_2339,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_2337,refute_0_2338]) ).

cnf(refute_0_2340,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_870,refute_0_2339]) ).

cnf(refute_0_2341,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_32:[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_2342,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_2340,refute_0_2341]) ).

cnf(refute_0_2343,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_2336,refute_0_2342]) ).

cnf(refute_0_2344,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),bigC(c,a,a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),[1],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_2345,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),bigC(c,a,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(c,a))) )],[refute_0_2343,refute_0_2344]) ).

cnf(refute_0_2346,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(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_2332,refute_0_2345]) ).

cnf(refute_0_2347,plain,
    quotient(product(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,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_2312,refute_0_2346]) ).

cnf(refute_0_2348,plain,
    ( bigC(quotient(product(c,a),bigC(c,a,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),bigC(c,a,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) ),[0,0],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_2349,plain,
    ( bigC(quotient(product(c,a),bigC(c,a,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,c),product(c,a))) )],[refute_0_2347,refute_0_2348]) ).

cnf(refute_0_2350,plain,
    bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(c,a,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) )],[refute_0_2300,refute_0_2349]) ).

cnf(refute_0_2351,plain,
    bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(bigC(c,a,a))),bind(X_25,$fot(bigC(a,b,c))),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_2352,plain,
    bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),
    introduced(tautology,[refl,[$fot(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))]]) ).

cnf(refute_0_2353,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a)))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a)))) ),[1,2],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_2354,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a)))) )],[refute_0_2352,refute_0_2353]) ).

cnf(refute_0_2355,plain,
    bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,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_2347,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a)))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))),bind(Y,$fot(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))))),bind(Z,$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))))]]) ).

cnf(refute_0_2357,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) )],[refute_0_2355,refute_0_2356]) ).

cnf(refute_0_2358,plain,
    bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),product(bigC(a,b,c),product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))) )],[refute_0_2351,refute_0_2357]) ).

cnf(refute_0_2359,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))
    | bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) ),[0],$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))))]]) ).

cnf(refute_0_2360,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))) )],[refute_0_2358,refute_0_2359]) ).

cnf(refute_0_2361,plain,
    product(product(c,a),product(bigC(a,b,c),product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(bigC(a,b,c))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_2362,plain,
    product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),quotient(product(c,a),bigC(c,a,a))),
    introduced(tautology,[refl,[$fot(product(product(c,a),quotient(product(c,a),bigC(c,a,a))))]]) ).

cnf(refute_0_2363,plain,
    ( product(product(c,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),product(bigC(a,b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) ),[1,1],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_2364,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),product(bigC(a,b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) )],[refute_0_2362,refute_0_2363]) ).

cnf(refute_0_2365,plain,
    product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,a),product(bigC(a,b,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_2347,refute_0_2364]) ).

cnf(refute_0_2366,plain,
    ( product(product(c,a),product(bigC(a,b,c),product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),product(bigC(a,b,c),product(c,a)))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),quotient(product(c,a),bigC(c,a,a))))),bind(Y,$fot(product(product(c,a),product(bigC(a,b,c),product(c,a))))),bind(Z,$fot(product(product(c,bigC(a,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_2367,plain,
    ( product(product(c,a),product(bigC(a,b,c),product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),product(bigC(a,b,c),product(c,a)))) )],[refute_0_2365,refute_0_2366]) ).

cnf(refute_0_2368,plain,
    product(product(c,a),quotient(product(c,a),bigC(c,a,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,b,c),product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_2361,refute_0_2367]) ).

cnf(refute_0_2369,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | product(product(c,a),quotient(product(c,a),bigC(c,a,a))) != 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,a),product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[0],$fot(product(product(c,a),quotient(product(c,a),bigC(c,a,a))))]]) ).

cnf(refute_0_2370,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_2368,refute_0_2369]) ).

cnf(refute_0_2371,plain,
    ( bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))) != product(product(c,a),quotient(product(c,a),bigC(c,a,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = 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,a),product(c,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) )],[refute_0_2360,refute_0_2370]) ).

cnf(refute_0_2372,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,c),product(c,a)),bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))),product(product(c,a),quotient(product(c,a),bigC(c,a,a)))) )],[refute_0_2350,refute_0_2371]) ).

cnf(refute_0_2373,plain,
    product(bigC(c,a,a),product(c,a)) = product(bigC(c,a,a),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),product(c,a)))]]) ).

cnf(refute_0_2374,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),product(c,a)) != product(bigC(c,a,a),product(c,a))
    | product(bigC(c,a,a),product(c,a)) = product(bigC(a,a,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),product(c,a)),product(bigC(c,a,a),product(c,a))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_2375,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),product(c,a)) = product(bigC(a,a,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(c,a)),product(bigC(c,a,a),product(c,a))) )],[refute_0_2373,refute_0_2374]) ).

cnf(refute_0_2376,plain,
    product(bigC(c,a,a),product(c,a)) = product(bigC(a,a,c),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_2375]) ).

cnf(refute_0_2377,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,a),product(c,a)) != product(bigC(a,a,c),product(c,a))
    | product(bigC(c,a,a),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,a),product(c,a)))),bind(Y,$fot(product(bigC(a,a,c),product(c,a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2378,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,a),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(c,a)),product(bigC(a,a,c),product(c,a))) )],[refute_0_2376,refute_0_2377]) ).

cnf(refute_0_2379,plain,
    product(bigC(c,a,a),product(c,a)) = 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_2290,refute_0_2378]) ).

cnf(refute_0_2380,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))))]]) ).

cnf(refute_0_2381,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))
    | product(bigC(c,a,a),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_2382,plain,
    ( product(bigC(c,a,a),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a)))) )],[refute_0_2380,refute_0_2381]) ).

cnf(refute_0_2383,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2379,refute_0_2382]) ).

cnf(refute_0_2384,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[0],$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2385,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,a),product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = 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,a),product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a)))) )],[refute_0_2383,refute_0_2384]) ).

cnf(refute_0_2386,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = 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,a),product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_2372,refute_0_2385]) ).

cnf(refute_0_2387,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(a,a,b))
    | bigC(c,product(c,a),c) != bigC(c,c,product(c,a))
    | bigC(c,product(c,a),c) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,a),c))),bind(Y,$fot(bigC(c,c,product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_2388,plain,
    ( bigC(c,c,product(c,a)) != 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),bigC(c,c,product(c,a))) )],[refute_0_981,refute_0_2387]) ).

cnf(refute_0_2389,plain,
    bigC(c,product(c,a),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,a)),product(c,bigC(a,a,b))) )],[refute_0_1953,refute_0_2388]) ).

cnf(refute_0_2390,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_2391,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_2392,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_2390,refute_0_2391]) ).

cnf(refute_0_2393,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_1861,refute_0_2392]) ).

cnf(refute_0_2394,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_2395,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_2396,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_2394,refute_0_2395]) ).

cnf(refute_0_2397,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_1861,refute_0_2396]) ).

cnf(refute_0_2398,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_32:[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_2399,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_2397,refute_0_2398]) ).

cnf(refute_0_2400,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_2393,refute_0_2399]) ).

cnf(refute_0_2401,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_32:[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_2402,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_2400,refute_0_2401]) ).

cnf(refute_0_2403,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_2389,refute_0_2402]) ).

cnf(refute_0_2404,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2405,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)),bigC(a,c,product(c,a))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_2406,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)),bigC(a,c,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a)))) )],[refute_0_2404,refute_0_2405]) ).

cnf(refute_0_2407,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(c,bigC(a,a,b))) )],[refute_0_2403,refute_0_2406]) ).

cnf(refute_0_2408,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) != product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[0],$fot(product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2409,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = 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)),bigC(a,c,product(c,a))),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) )],[refute_0_2407,refute_0_2408]) ).

cnf(refute_0_2410,plain,
    product(c,bigC(a,b,c)) = product(c,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,b,c)))]]) ).

cnf(refute_0_2411,plain,
    ( bigC(a,b,c) != c
    | product(c,bigC(a,b,c)) != product(c,bigC(a,b,c))
    | product(c,bigC(a,b,c)) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,b,c)),product(c,bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2412,plain,
    ( bigC(a,b,c) != c
    | product(c,bigC(a,b,c)) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,c)),product(c,bigC(a,b,c))) )],[refute_0_2410,refute_0_2411]) ).

cnf(refute_0_2413,plain,
    product(c,bigC(a,b,c)) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_2412]) ).

cnf(refute_0_2414,plain,
    ( product(c,bigC(a,b,c)) != product(c,c)
    | product(c,c) != c
    | product(c,bigC(a,b,c)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,bigC(a,b,c)))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_2415,plain,
    ( product(c,c) != c
    | product(c,bigC(a,b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,c)),product(c,c)) )],[refute_0_2413,refute_0_2414]) ).

cnf(refute_0_2416,plain,
    product(c,bigC(a,b,c)) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_2415]) ).

cnf(refute_0_2417,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_2418,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_2419,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_2417,refute_0_2418]) ).

cnf(refute_0_2420,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_2416,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) != 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(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))),product(c,bigC(a,a,c))) ),[0],$fot(product(product(c,bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_2422,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) != product(product(c,bigC(a,b,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,b,c)),bigC(a,a,c)),product(c,bigC(a,a,c))) )],[refute_0_2420,refute_0_2421]) ).

cnf(refute_0_2423,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))) != product(product(c,bigC(a,b,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)),bigC(a,c,product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_2409,refute_0_2422]) ).

cnf(refute_0_2424,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(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(a,c,product(c,a))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_2386,refute_0_2423]) ).

cnf(refute_0_2425,plain,
    ( difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) != 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))
    | difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))),bigC(a,c,product(c,a))) ),[0,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_2426,plain,
    ( difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) != bigC(a,c,product(c,a))
    | difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,c,product(c,a)) ),
    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_2424,refute_0_2425]) ).

cnf(refute_0_2427,plain,
    difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))),bigC(a,c,product(c,a))) )],[refute_0_2299,refute_0_2426]) ).

cnf(refute_0_2428,plain,
    difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))) = bigC(a,a,product(b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,bigC(a,a,b)))),bind(B,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_2429,plain,
    ( difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))) != bigC(a,a,product(b,c))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(c,bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))),bigC(a,a,product(b,c))) ),[0,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_2430,plain,
    ( difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))) != bigC(a,a,product(b,c))
    | difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(c,bigC(a,a,c))) )],[refute_0_2052,refute_0_2429]) ).

cnf(refute_0_2431,plain,
    difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c)))),bigC(a,a,product(b,c))) )],[refute_0_2428,refute_0_2430]) ).

cnf(refute_0_2432,plain,
    ( difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) != bigC(a,a,product(b,c))
    | difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) != bigC(a,c,product(c,a))
    | bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))),bigC(a,c,product(c,a))) ),[0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_2433,plain,
    ( difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))) != bigC(a,c,product(c,a))
    | bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))),bigC(a,a,product(b,c))) )],[refute_0_2431,refute_0_2432]) ).

cnf(refute_0_2434,plain,
    bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(c,bigC(a,a,c))),bigC(a,c,product(c,a))) )],[refute_0_2427,refute_0_2433]) ).

cnf(refute_0_2435,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_16:[bind(X,$fot(bigC(a,a,product(b,c)))),bind(Y,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_2436,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_2434,refute_0_2435]) ).

cnf(refute_0_2437,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | bigC(a,c,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | bigC(a,a,product(b,c)) = product(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,product(c,a)),product(product(c,a),bigC(a,a,b))) ),[0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_2438,plain,
    ( bigC(a,c,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | bigC(a,a,product(b,c)) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_2437]) ).

cnf(refute_0_2439,plain,
    bigC(a,a,product(b,c)) = product(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),product(product(c,a),bigC(a,a,b))) )],[refute_0_2298,refute_0_2438]) ).

cnf(refute_0_2440,plain,
    ( bigC(a,a,product(b,c)) != product(product(c,a),bigC(a,a,b))
    | product(product(c,a),bigC(a,a,b)) = bigC(a,a,product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,a,product(b,c)))),bind(Y,$fot(product(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_2441,plain,
    product(product(c,a),bigC(a,a,b)) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(b,c)),product(product(c,a),bigC(a,a,b))) )],[refute_0_2439,refute_0_2440]) ).

cnf(refute_0_2442,plain,
    ( product(product(X_96,product(c,a)),bigC(a,a,b)) != product(product(X_96,bigC(a,a,b)),product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(a,a,b)) != bigC(a,a,product(b,c))
    | product(product(X_96,product(c,a)),bigC(a,a,b)) = product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(c,a)),bigC(a,a,b)),product(product(X_96,bigC(a,a,b)),product(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_2443,plain,
    ( product(product(X_96,product(c,a)),bigC(a,a,b)) != product(product(X_96,bigC(a,a,b)),product(product(c,a),bigC(a,a,b)))
    | product(product(X_96,product(c,a)),bigC(a,a,b)) = product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(a,a,product(b,c))) )],[refute_0_2441,refute_0_2442]) ).

cnf(refute_0_2444,plain,
    product(product(X_96,product(c,a)),bigC(a,a,b)) = product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(c,a)),bigC(a,a,b)),product(product(X_96,bigC(a,a,b)),product(product(c,a),bigC(a,a,b)))) )],[refute_0_2077,refute_0_2443]) ).

cnf(refute_0_2445,plain,
    ( product(product(X_96,product(c,a)),bigC(a,a,b)) != product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c)))
    | product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(X_96,product(c,a)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,product(c,a)),bigC(a,a,b)))),bind(Y,$fot(product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c)))))]]) ).

cnf(refute_0_2446,plain,
    product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(X_96,product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(c,a)),bigC(a,a,b)),product(product(X_96,bigC(a,a,b)),bigC(a,a,product(b,c)))) )],[refute_0_2444,refute_0_2445]) ).

cnf(refute_0_2447,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,product(c,a)),bigC(a,a,b)),
    inference(subst,[],[refute_0_2446:[bind(X_96,$fot(c))]]) ).

cnf(refute_0_2448,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,product(c,a)),bigC(a,a,b)) != product(product(c,product(c,b)),a)
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,product(c,b)),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,a,b)))),bind(Z,$fot(product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_2449,plain,
    ( product(product(c,product(c,a)),bigC(a,a,b)) != product(product(c,product(c,b)),a)
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,product(c,b)),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(product(c,product(c,a)),bigC(a,a,b))) )],[refute_0_2447,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) = product(product(c,product(c,b)),a),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,b)),product(product(c,product(c,b)),a)) )],[refute_0_2076,refute_0_2449]) ).

cnf(refute_0_2451,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(product(c,product(c,b)),a)
    | product(product(c,product(c,b)),a) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(c,bigC(a,a,c))) ),[0],$fot(product(product(c,product(c,b)),a))]]) ).

cnf(refute_0_2452,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))) != product(c,bigC(a,a,c))
    | product(product(c,product(c,b)),a) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(product(c,product(c,b)),a)) )],[refute_0_2450,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    product(product(c,product(c,b)),a) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,product(b,c))),product(c,bigC(a,a,c))) )],[refute_0_2052,refute_0_2452]) ).

cnf(refute_0_2454,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),a))
    | product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_2455,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),a))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_2454]) ).

cnf(refute_0_2456,plain,
    difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) )],[refute_0_80,refute_0_2455]) ).

cnf(refute_0_2457,plain,
    bigC(quotient(product(b,product(a,c)),product(b,a)),product(b,a),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(b,product(a,c)))),bind(X_22,$fot(product(b,a)))]]) ).

cnf(refute_0_2458,plain,
    quotient(product(product(b,a),product(b,c)),product(b,a)) = product(product(b,a),quotient(product(b,c),product(b,a))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(b,a))),bind(X_44,$fot(product(b,c)))]]) ).

cnf(refute_0_2459,plain,
    quotient(product(product(c,b),product(b,a)),product(b,a)) = product(c,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_2460,plain,
    quotient(bigC(b,a,b),difference(product(b,c),bigC(b,a,b))) = product(b,c),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(b,c))),bind(X_8,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_2461,plain,
    difference(product(b,c),bigC(b,c,c)) = product(c,b),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(b)),bind(X_18,$fot(c)),bind(X_19,$fot(c))]]) ).

cnf(refute_0_2462,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_85:[bind(X_18,$fot(product(b,bigC(c,a,b)))),bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_2463,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_2464,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_1299,refute_0_2463]) ).

cnf(refute_0_2465,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_2462,refute_0_2464]) ).

cnf(refute_0_2466,plain,
    bigC(b,bigC(c,a,b),a) = bigC(b,a,bigC(c,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_2467,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_2468,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_2469,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_2467,refute_0_2468]) ).

cnf(refute_0_2470,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_2466,refute_0_2469]) ).

cnf(refute_0_2471,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_185:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_2472,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_32:[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_2473,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_2471,refute_0_2472]) ).

cnf(refute_0_2474,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_2470,refute_0_2473]) ).

cnf(refute_0_2475,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_123:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_2476,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_2477,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_2478,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_2476,refute_0_2477]) ).

cnf(refute_0_2479,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_2475,refute_0_2478]) ).

cnf(refute_0_2480,plain,
    product(b,product(a,b)) = bigC(b,b,a),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(b)),bind(X_19,$fot(a))]]) ).

cnf(refute_0_2481,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_32:[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_2482,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_2480,refute_0_2481]) ).

cnf(refute_0_2483,plain,
    product(b,product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_2482]) ).

cnf(refute_0_2484,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_2485,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_2486,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_2484,refute_0_2485]) ).

cnf(refute_0_2487,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_2483,refute_0_2486]) ).

cnf(refute_0_2488,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_32:[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_2489,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_2487,refute_0_2488]) ).

cnf(refute_0_2490,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_2479,refute_0_2489]) ).

cnf(refute_0_2491,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_32:[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_2492,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_2490,refute_0_2491]) ).

cnf(refute_0_2493,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_2474,refute_0_2492]) ).

cnf(refute_0_2494,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_551:[bind(A,$fot(b)),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_2495,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_32:[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_2496,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_2494,refute_0_2495]) ).

cnf(refute_0_2497,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_2493,refute_0_2496]) ).

cnf(refute_0_2498,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_2499,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_2497,refute_0_2498]) ).

cnf(refute_0_2500,plain,
    bigC(b,bigC(c,a,b),c) = bigC(b,c,bigC(c,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_2501,plain,
    product(product(b,bigC(c,a,b)),product(c,b)) = bigC(b,bigC(c,a,b),c),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_2502,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_32:[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_2503,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_2501,refute_0_2502]) ).

cnf(refute_0_2504,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_2500,refute_0_2503]) ).

cnf(refute_0_2505,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_2506,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_2504,refute_0_2505]) ).

cnf(refute_0_2507,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_2499,refute_0_2506]) ).

cnf(refute_0_2508,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_2465,refute_0_2507]) ).

cnf(refute_0_2509,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_2510,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_2511,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_2509,refute_0_2510]) ).

cnf(refute_0_2512,plain,
    product(b,bigC(c,a,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2511]) ).

cnf(refute_0_2513,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_2514,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_2515,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_2513,refute_0_2514]) ).

cnf(refute_0_2516,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_2512,refute_0_2515]) ).

cnf(refute_0_2517,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_2518,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_2519,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_2517,refute_0_2518]) ).

cnf(refute_0_2520,plain,
    bigC(b,a,bigC(c,a,b)) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2519]) ).

cnf(refute_0_2521,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_2522,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_2523,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_2521,refute_0_2522]) ).

cnf(refute_0_2524,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_2520,refute_0_2523]) ).

cnf(refute_0_2525,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_32:[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_2526,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_2524,refute_0_2525]) ).

cnf(refute_0_2527,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_2516,refute_0_2526]) ).

cnf(refute_0_2528,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_2529,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_2527,refute_0_2528]) ).

cnf(refute_0_2530,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_2531,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_2532,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_2530,refute_0_2531]) ).

cnf(refute_0_2533,plain,
    bigC(b,c,bigC(c,a,b)) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2532]) ).

cnf(refute_0_2534,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_2535,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_2533,refute_0_2534]) ).

cnf(refute_0_2536,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_2529,refute_0_2535]) ).

cnf(refute_0_2537,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_2508,refute_0_2536]) ).

cnf(refute_0_2538,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(c,product(b,c)) != bigC(c,c,b)
    | product(c,product(b,c)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(b,c)))),bind(Y,$fot(bigC(c,c,b))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_2539,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(c,product(b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,c,b)) )],[refute_0_648,refute_0_2538]) ).

cnf(refute_0_2540,plain,
    product(c,product(b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_1597,refute_0_2539]) ).

cnf(refute_0_2541,plain,
    quotient(product(bigC(b,a,c),c),c) = bigC(b,a,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(b,a,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_2542,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c))) = product(bigC(b,a,bigC(c,a,b)),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(bigC(b,a,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_2543,plain,
    bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) = product(X_47,product(product(bigC(c,a,b),a),product(a,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(X_47)),bind(X_17,$fot(product(a,b))),bind(X_19,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_2544,plain,
    ( bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) != product(X_47,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),difference(product(a,b),X_47),product(bigC(c,a,b),a)) = product(X_47,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)),product(X_47,product(product(bigC(c,a,b),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2545,plain,
    ( bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) != product(X_47,product(product(bigC(c,a,b),a),product(a,b)))
    | bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) = product(X_47,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_834,refute_0_2544]) ).

cnf(refute_0_2546,plain,
    bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) = product(X_47,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)),product(X_47,product(product(bigC(c,a,b),a),product(a,b)))) )],[refute_0_2543,refute_0_2545]) ).

cnf(refute_0_2547,plain,
    bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(product(product(a,b),B),product(product(bigC(c,a,b),a),product(a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(C,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_2548,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(product(product(a,b),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),B,product(bigC(c,a,b),a)) = product(product(product(a,b),B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(product(product(a,b),B),product(product(bigC(c,a,b),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2549,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(product(product(a,b),B),product(product(bigC(c,a,b),a),product(a,b)))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(product(product(a,b),B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_834,refute_0_2548]) ).

cnf(refute_0_2550,plain,
    bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(product(product(a,b),B),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(product(product(a,b),B),product(product(bigC(c,a,b),a),product(a,b)))) )],[refute_0_2547,refute_0_2549]) ).

cnf(refute_0_2551,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_2552,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_2553,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_2551,refute_0_2552]) ).

cnf(refute_0_2554,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_1877,refute_0_2553]) ).

cnf(refute_0_2555,plain,
    product(product(product(a,b),B),product(a,c)) = product(bigC(a,b,a),product(B,c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(B)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_2556,plain,
    ( product(bigC(a,b,a),product(B,c)) != product(bigC(a,a,b),product(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)) = product(bigC(a,a,b),product(B,c)) ),
    inference(subst,[],[refute_0_32:[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(bigC(a,a,b),product(B,c))))]]) ).

cnf(refute_0_2557,plain,
    ( product(bigC(a,b,a),product(B,c)) != product(bigC(a,a,b),product(B,c))
    | product(product(product(a,b),B),product(a,c)) = product(bigC(a,a,b),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_2555,refute_0_2556]) ).

cnf(refute_0_2558,plain,
    product(product(product(a,b),B),product(a,c)) = 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_2554,refute_0_2557]) ).

cnf(refute_0_2559,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(product(product(a,b),B),product(a,c))
    | product(product(product(a,b),B),product(a,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(product(product(a,b),B),product(a,c)))]]) ).

cnf(refute_0_2560,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(product(product(a,b),B),product(a,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(product(product(a,b),B),product(a,c)),product(bigC(a,a,b),product(B,c))) )],[refute_0_2558,refute_0_2559]) ).

cnf(refute_0_2561,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,a,b),a)),product(product(product(a,b),B),product(a,c))) )],[refute_0_2550,refute_0_2560]) ).

cnf(refute_0_2562,plain,
    bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) = product(bigC(a,a,b),product(difference(product(a,b),X_47),c)),
    inference(subst,[],[refute_0_2561:[bind(B,$fot(difference(product(a,b),X_47)))]]) ).

cnf(refute_0_2563,plain,
    ( bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) != product(X_47,product(a,c))
    | bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) != product(bigC(a,a,b),product(difference(product(a,b),X_47),c))
    | product(bigC(a,a,b),product(difference(product(a,b),X_47),c)) = product(X_47,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)),product(X_47,product(a,c))) ),[0],$fot(product(bigC(a,a,b),product(difference(product(a,b),X_47),c)))]]) ).

cnf(refute_0_2564,plain,
    ( bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)) != product(X_47,product(a,c))
    | product(bigC(a,a,b),product(difference(product(a,b),X_47),c)) = product(X_47,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)),product(bigC(a,a,b),product(difference(product(a,b),X_47),c))) )],[refute_0_2562,refute_0_2563]) ).

cnf(refute_0_2565,plain,
    product(bigC(a,a,b),product(difference(product(a,b),X_47),c)) = product(X_47,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_47),product(bigC(c,a,b),a)),product(X_47,product(a,c))) )],[refute_0_2546,refute_0_2564]) ).

cnf(refute_0_2566,plain,
    product(bigC(a,a,b),product(difference(product(a,b),product(product(c,a),b)),c)) = product(product(product(c,a),b),product(a,c)),
    inference(subst,[],[refute_0_2565:[bind(X_47,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_2567,plain,
    difference(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = bigC(b,a,bigC(c,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_2568,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_2569,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_2570,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_2568,refute_0_2569]) ).

cnf(refute_0_2571,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_2466,refute_0_2570]) ).

cnf(refute_0_2572,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_582:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_2573,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_2574,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,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),bigC(b,bigC(c,a,b),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)))),bind(Y,$fot(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(product(product(a,b),bigC(b,bigC(c,a,b),a))))]]) ).

cnf(refute_0_2575,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,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),bigC(b,bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_2573,refute_0_2574]) ).

cnf(refute_0_2576,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),bigC(b,bigC(c,a,b),a)),
    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_2572,refute_0_2575]) ).

cnf(refute_0_2577,plain,
    bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(product(b,bigC(c,a,b)))),bind(C,$fot(b))]]) ).

cnf(refute_0_2578,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,b),bigC(b,bigC(c,a,b),a))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),bigC(b,bigC(c,a,b),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))),bind(Y,$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(a,b),bigC(b,bigC(c,a,b),a))))]]) ).

cnf(refute_0_2579,plain,
    ( product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,b),bigC(b,bigC(c,a,b),a))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),bigC(b,bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_2577,refute_0_2578]) ).

cnf(refute_0_2580,plain,
    bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),bigC(b,bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,b),bigC(b,bigC(c,a,b),a))) )],[refute_0_2576,refute_0_2579]) ).

cnf(refute_0_2581,plain,
    ( bigC(product(a,b),product(a,b),product(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)))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))))),bind(Y,$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_2582,plain,
    ( product(product(a,b),bigC(b,bigC(c,a,b),a)) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(a,b),bigC(b,bigC(c,a,b),a))) )],[refute_0_2580,refute_0_2581]) ).

cnf(refute_0_2583,plain,
    bigC(product(a,b),product(a,b),product(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_2571,refute_0_2582]) ).

cnf(refute_0_2584,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | bigC(product(a,b),product(a,b),product(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( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,a),b)) ),[0],$fot(product(product(a,b),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_2585,plain,
    ( bigC(product(a,b),product(a,b),product(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(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(a,b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_2583,refute_0_2584]) ).

cnf(refute_0_2586,plain,
    product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_1339,refute_0_2585]) ).

cnf(refute_0_2587,plain,
    ( difference(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) != bigC(b,a,bigC(c,a,b))
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(a,b),product(product(c,a),b)) = bigC(b,a,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),bigC(b,a,bigC(c,a,b))) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_2588,plain,
    ( difference(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) != bigC(b,a,bigC(c,a,b))
    | difference(product(a,b),product(product(c,a),b)) = bigC(b,a,bigC(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_2586,refute_0_2587]) ).

cnf(refute_0_2589,plain,
    difference(product(a,b),product(product(c,a),b)) = bigC(b,a,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),bigC(b,a,bigC(c,a,b))) )],[refute_0_2567,refute_0_2588]) ).

cnf(refute_0_2590,plain,
    ( difference(product(a,b),product(product(c,a),b)) != bigC(b,a,bigC(c,a,b))
    | product(bigC(a,a,b),product(difference(product(a,b),product(product(c,a),b)),c)) != product(product(product(c,a),b),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(product(c,a),b)),c)),product(product(product(c,a),b),product(a,c))) ),[0,1,0],$fot(bigC(b,a,bigC(c,a,b)))]]) ).

cnf(refute_0_2591,plain,
    ( product(bigC(a,a,b),product(difference(product(a,b),product(product(c,a),b)),c)) != product(product(product(c,a),b),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(c,a),b)),bigC(b,a,bigC(c,a,b))) )],[refute_0_2589,refute_0_2590]) ).

cnf(refute_0_2592,plain,
    product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(product(c,a),b)),c)),product(product(product(c,a),b),product(a,c))) )],[refute_0_2566,refute_0_2591]) ).

cnf(refute_0_2593,plain,
    product(product(product(c,a),b),product(a,c)) = product(product(product(c,a),a),product(b,c)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(product(c,a))),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_2594,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) != product(product(product(c,a),b),product(a,c))
    | product(product(product(c,a),b),product(a,c)) != product(product(product(c,a),a),product(b,c))
    | product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)),product(product(product(c,a),a),product(b,c))) ),[0],$fot(product(product(product(c,a),b),product(a,c)))]]) ).

cnf(refute_0_2595,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) != product(product(product(c,a),b),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(a,c)),product(product(product(c,a),a),product(b,c))) )],[refute_0_2593,refute_0_2594]) ).

cnf(refute_0_2596,plain,
    product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) = product(product(product(c,a),a),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)),product(product(product(c,a),b),product(a,c))) )],[refute_0_2592,refute_0_2595]) ).

cnf(refute_0_2597,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c))) != product(bigC(b,a,bigC(c,a,b)),c)
    | product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)) != product(product(product(c,a),a),product(b,c))
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,bigC(c,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c))),product(bigC(b,a,bigC(c,a,b)),c)) ),[0,1],$fot(product(product(product(c,a),a),product(b,c)))]]) ).

cnf(refute_0_2598,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c))) != product(bigC(b,a,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,bigC(c,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c)),product(product(product(c,a),a),product(b,c))) )],[refute_0_2596,refute_0_2597]) ).

cnf(refute_0_2599,plain,
    difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,bigC(c,a,b)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(bigC(b,a,bigC(c,a,b)),c))),product(bigC(b,a,bigC(c,a,b)),c)) )],[refute_0_2542,refute_0_2598]) ).

cnf(refute_0_2600,plain,
    product(bigC(b,a,bigC(c,a,b)),c) = product(bigC(b,a,bigC(c,a,b)),c),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),c))]]) ).

cnf(refute_0_2601,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),c) != product(bigC(b,a,bigC(c,a,b)),c)
    | product(bigC(b,a,bigC(c,a,b)),c) = product(bigC(b,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),c),product(bigC(b,a,bigC(c,a,b)),c)) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_2602,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),c) = product(bigC(b,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),c),product(bigC(b,a,bigC(c,a,b)),c)) )],[refute_0_2600,refute_0_2601]) ).

cnf(refute_0_2603,plain,
    product(bigC(b,a,bigC(c,a,b)),c) = product(bigC(b,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_2602]) ).

cnf(refute_0_2604,plain,
    ( difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != product(bigC(b,a,bigC(c,a,b)),c)
    | product(bigC(b,a,bigC(c,a,b)),c) != product(bigC(b,a,c),c)
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),product(bigC(b,a,c),c)) ),[0],$fot(product(bigC(b,a,bigC(c,a,b)),c))]]) ).

cnf(refute_0_2605,plain,
    ( difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != product(bigC(b,a,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),c),product(bigC(b,a,c),c)) )],[refute_0_2603,refute_0_2604]) ).

cnf(refute_0_2606,plain,
    difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = product(bigC(b,a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),product(bigC(b,a,bigC(c,a,b)),c)) )],[refute_0_2599,refute_0_2605]) ).

cnf(refute_0_2607,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_85:[bind(X_18,$fot(bigC(c,a,b))),bind(X_19,$fot(product(a,c)))]]) ).

cnf(refute_0_2608,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_2609,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_597,refute_0_2608]) ).

cnf(refute_0_2610,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_2607,refute_0_2609]) ).

cnf(refute_0_2611,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_123:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_2612,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_2613,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_2611,refute_0_2612]) ).

cnf(refute_0_2614,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_2610,refute_0_2613]) ).

cnf(refute_0_2615,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_2616,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_2617,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_2615,refute_0_2616]) ).

cnf(refute_0_2618,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_601,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    bigC(X_17,product(X_36,X_17),X_17) = product(product(X_17,product(X_36,X_17)),X_17),
    inference(subst,[],[refute_0_50:[bind(X_18,$fot(product(X_36,X_17)))]]) ).

cnf(refute_0_2620,plain,
    bigC(X_17,X_17,X_36) = product(X_17,product(X_36,X_17)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(X_17)),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_2621,plain,
    ( bigC(X_17,X_17,X_36) != product(X_17,product(X_36,X_17))
    | product(X_17,product(X_36,X_17)) = bigC(X_17,X_17,X_36) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_17,X_17,X_36))),bind(Y,$fot(product(X_17,product(X_36,X_17))))]]) ).

cnf(refute_0_2622,plain,
    product(X_17,product(X_36,X_17)) = bigC(X_17,X_17,X_36),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_17,X_36),product(X_17,product(X_36,X_17))) )],[refute_0_2620,refute_0_2621]) ).

cnf(refute_0_2623,plain,
    ( bigC(X_17,product(X_36,X_17),X_17) != product(product(X_17,product(X_36,X_17)),X_17)
    | product(X_17,product(X_36,X_17)) != bigC(X_17,X_17,X_36)
    | bigC(X_17,product(X_36,X_17),X_17) = product(bigC(X_17,X_17,X_36),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,product(X_36,X_17),X_17),product(product(X_17,product(X_36,X_17)),X_17)) ),[1,0],$fot(bigC(X_17,X_17,X_36))]]) ).

cnf(refute_0_2624,plain,
    ( bigC(X_17,product(X_36,X_17),X_17) != product(product(X_17,product(X_36,X_17)),X_17)
    | bigC(X_17,product(X_36,X_17),X_17) = product(bigC(X_17,X_17,X_36),X_17) ),
    inference(resolve,[$cnf( $equal(product(X_17,product(X_36,X_17)),bigC(X_17,X_17,X_36)) )],[refute_0_2622,refute_0_2623]) ).

cnf(refute_0_2625,plain,
    bigC(X_17,product(X_36,X_17),X_17) = product(bigC(X_17,X_17,X_36),X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_36,X_17),X_17),product(product(X_17,product(X_36,X_17)),X_17)) )],[refute_0_2619,refute_0_2624]) ).

cnf(refute_0_2626,plain,
    bigC(X_17,product(X_36,X_17),X_17) = bigC(X_17,X_17,product(X_36,X_17)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(X_17)),bind(B,$fot(X_17)),bind(C,$fot(product(X_36,X_17)))]]) ).

cnf(refute_0_2627,plain,
    ( bigC(X_17,product(X_36,X_17),X_17) != bigC(X_17,X_17,product(X_36,X_17))
    | bigC(X_17,product(X_36,X_17),X_17) != product(bigC(X_17,X_17,X_36),X_17)
    | bigC(X_17,X_17,product(X_36,X_17)) = product(bigC(X_17,X_17,X_36),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,product(X_36,X_17),X_17),product(bigC(X_17,X_17,X_36),X_17)) ),[0],$fot(bigC(X_17,X_17,product(X_36,X_17)))]]) ).

cnf(refute_0_2628,plain,
    ( bigC(X_17,product(X_36,X_17),X_17) != product(bigC(X_17,X_17,X_36),X_17)
    | bigC(X_17,X_17,product(X_36,X_17)) = product(bigC(X_17,X_17,X_36),X_17) ),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_36,X_17),X_17),bigC(X_17,X_17,product(X_36,X_17))) )],[refute_0_2626,refute_0_2627]) ).

cnf(refute_0_2629,plain,
    bigC(X_17,X_17,product(X_36,X_17)) = product(bigC(X_17,X_17,X_36),X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_36,X_17),X_17),product(bigC(X_17,X_17,X_36),X_17)) )],[refute_0_2625,refute_0_2628]) ).

cnf(refute_0_2630,plain,
    bigC(c,c,product(a,c)) = product(bigC(c,c,a),c),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(c)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_2631,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_32:[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_2632,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_2630,refute_0_2631]) ).

cnf(refute_0_2633,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_2618,refute_0_2632]) ).

cnf(refute_0_2634,plain,
    bigC(c,product(a,c),c) = bigC(c,c,product(a,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_2635,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | bigC(c,product(a,c),c) != bigC(c,c,product(a,c))
    | bigC(c,product(a,c),c) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,c),c))),bind(Y,$fot(bigC(c,c,product(a,c)))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2636,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | bigC(c,product(a,c),c) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),bigC(c,c,product(a,c))) )],[refute_0_2634,refute_0_2635]) ).

cnf(refute_0_2637,plain,
    bigC(c,product(a,c),c) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,a,c),c)) )],[refute_0_2633,refute_0_2636]) ).

cnf(refute_0_2638,plain,
    bigC(c,product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_2639,plain,
    ( bigC(c,a,b) != c
    | bigC(c,product(a,c),bigC(c,a,b)) != bigC(c,product(a,c),bigC(c,a,b))
    | bigC(c,product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,c),bigC(c,a,b)),bigC(c,product(a,c),bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_2640,plain,
    ( bigC(c,a,b) != c
    | bigC(c,product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(c,a,b)),bigC(c,product(a,c),bigC(c,a,b))) )],[refute_0_2638,refute_0_2639]) ).

cnf(refute_0_2641,plain,
    bigC(c,product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2640]) ).

cnf(refute_0_2642,plain,
    bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_2643,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != bigC(bigC(c,a,b),product(a,c),bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),bigC(bigC(c,a,b),product(a,c),bigC(c,a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2644,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),bigC(bigC(c,a,b),product(a,c),bigC(c,a,b))) )],[refute_0_2642,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2644]) ).

cnf(refute_0_2646,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != bigC(c,product(a,c),bigC(c,a,b))
    | bigC(c,product(a,c),bigC(c,a,b)) != bigC(c,product(a,c),c)
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)))),bind(Y,$fot(bigC(c,product(a,c),bigC(c,a,b)))),bind(Z,$fot(bigC(c,product(a,c),c)))]]) ).

cnf(refute_0_2647,plain,
    ( bigC(c,product(a,c),bigC(c,a,b)) != bigC(c,product(a,c),c)
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),bigC(c,product(a,c),bigC(c,a,b))) )],[refute_0_2645,refute_0_2646]) ).

cnf(refute_0_2648,plain,
    bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = bigC(c,product(a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(c,a,b)),bigC(c,product(a,c),c)) )],[refute_0_2641,refute_0_2647]) ).

cnf(refute_0_2649,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != bigC(c,product(a,c),c)
    | bigC(c,product(a,c),c) != product(bigC(c,a,c),c)
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)))),bind(Y,$fot(bigC(c,product(a,c),c))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2650,plain,
    ( bigC(c,product(a,c),c) != product(bigC(c,a,c),c)
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),bigC(c,product(a,c),c)) )],[refute_0_2648,refute_0_2649]) ).

cnf(refute_0_2651,plain,
    bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),product(bigC(c,a,c),c)) )],[refute_0_2637,refute_0_2650]) ).

cnf(refute_0_2652,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != 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,c),c)
    | product(bigC(c,a,c),c) = product(bigC(c,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(bigC(c,a,b),product(a,product(b,c)))) ),[0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_2653,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(c,a,c),c) = product(bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(bigC(c,a,c),c)) )],[refute_0_2651,refute_0_2652]) ).

cnf(refute_0_2654,plain,
    product(c,product(a,product(b,c))) = bigC(c,a,product(c,b)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_2655,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_2656,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_2657,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_2655,refute_0_2656]) ).

cnf(refute_0_2658,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_772,refute_0_2657]) ).

cnf(refute_0_2659,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))) != bigC(c,a,product(c,b))
    | product(bigC(c,a,b),product(a,product(b,c))) = bigC(c,a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[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(bigC(c,a,product(c,b))))]]) ).

cnf(refute_0_2660,plain,
    ( product(c,product(a,product(b,c))) != bigC(c,a,product(c,b))
    | product(bigC(c,a,b),product(a,product(b,c))) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),product(c,product(a,product(b,c)))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    product(bigC(c,a,b),product(a,product(b,c))) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),bigC(c,a,product(c,b))) )],[refute_0_2654,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    ( product(bigC(c,a,b),product(a,product(b,c))) != bigC(c,a,product(c,b))
    | product(bigC(c,a,c),c) != product(bigC(c,a,b),product(a,product(b,c)))
    | product(bigC(c,a,c),c) = bigC(c,a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(c,a,b),product(a,product(b,c)))) ),[1],$fot(bigC(c,a,product(c,b)))]]) ).

cnf(refute_0_2663,plain,
    ( product(bigC(c,a,c),c) != product(bigC(c,a,b),product(a,product(b,c)))
    | product(bigC(c,a,c),c) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),bigC(c,a,product(c,b))) )],[refute_0_2661,refute_0_2662]) ).

cnf(refute_0_2664,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(c,a,c),c) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_2653,refute_0_2663]) ).

cnf(refute_0_2665,plain,
    product(bigC(c,a,c),c) = bigC(c,a,product(c,b)),
    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_2614,refute_0_2664]) ).

cnf(refute_0_2666,plain,
    ( product(bigC(c,a,c),c) != bigC(c,a,product(c,b))
    | bigC(c,a,product(c,b)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(c,a,c),c))),bind(Y,$fot(bigC(c,a,product(c,b))))]]) ).

cnf(refute_0_2667,plain,
    bigC(c,a,product(c,b)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),bigC(c,a,product(c,b))) )],[refute_0_2665,refute_0_2666]) ).

cnf(refute_0_2668,plain,
    product(product(c,a),product(product(c,b),c)) = bigC(c,a,product(c,b)),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_2669,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(c,a,c),c)
    | product(product(c,a),product(product(c,b),c)) != bigC(c,a,product(c,b))
    | product(product(c,a),product(product(c,b),c)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,b),c)))),bind(Y,$fot(bigC(c,a,product(c,b)))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2670,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(c,a,c),c)
    | product(product(c,a),product(product(c,b),c)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),c)),bigC(c,a,product(c,b))) )],[refute_0_2668,refute_0_2669]) ).

cnf(refute_0_2671,plain,
    product(product(c,a),product(product(c,b),c)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,b)),product(bigC(c,a,c),c)) )],[refute_0_2667,refute_0_2670]) ).

cnf(refute_0_2672,plain,
    product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,C),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(a)),bind(D,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_2673,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(A,C),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,C),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,C),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2674,plain,
    ( product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(A,C),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,C),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_2673]) ).

cnf(refute_0_2675,plain,
    product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,C),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,C),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_2672,refute_0_2674]) ).

cnf(refute_0_2676,plain,
    product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_2677,plain,
    ( product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(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
    | product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(C,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2678,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(C,c) ),
    inference(resolve,[$cnf( $equal(product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_2676,refute_0_2677]) ).

cnf(refute_0_2679,plain,
    product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = product(C,c),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),c) )],[refute_0_730,refute_0_2678]) ).

cnf(refute_0_2680,plain,
    product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_2681,plain,
    ( product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(C,c)
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,a),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,1],$fot(product(C,c))]]) ).

cnf(refute_0_2682,plain,
    ( product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(C,c)
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,a),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_2680,refute_0_2681]) ).

cnf(refute_0_2683,plain,
    product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(A,a),product(C,c)),
    inference(resolve,[$cnf( $equal(product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(C,c)) )],[refute_0_2679,refute_0_2682]) ).

cnf(refute_0_2684,plain,
    ( product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(A,C),product(a,c))
    | product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != 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( $equal(product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,C),product(a,c))) ),[0],$fot(product(product(A,a),product(C,c)))]]) ).

cnf(refute_0_2685,plain,
    ( product(product(A,a),product(C,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != 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(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,a),product(C,c))) )],[refute_0_2683,refute_0_2684]) ).

cnf(refute_0_2686,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(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(A,C),product(a,c))) )],[refute_0_2675,refute_0_2685]) ).

cnf(refute_0_2687,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_16:[bind(X,$fot(product(product(A,a),product(C,c)))),bind(Y,$fot(product(product(A,C),product(a,c))))]]) ).

cnf(refute_0_2688,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_2686,refute_0_2687]) ).

cnf(refute_0_2689,plain,
    product(product(c,product(c,b)),product(a,c)) = product(product(c,a),product(product(c,b),c)),
    inference(subst,[],[refute_0_2688:[bind(A,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_2690,plain,
    ( product(product(c,a),product(product(c,b),c)) != product(bigC(c,a,c),c)
    | product(product(c,product(c,b)),product(a,c)) != product(product(c,a),product(product(c,b),c))
    | product(product(c,product(c,b)),product(a,c)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(a,c)))),bind(Y,$fot(product(product(c,a),product(product(c,b),c)))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2691,plain,
    ( product(product(c,a),product(product(c,b),c)) != product(bigC(c,a,c),c)
    | product(product(c,product(c,b)),product(a,c)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),product(product(c,a),product(product(c,b),c))) )],[refute_0_2689,refute_0_2690]) ).

cnf(refute_0_2692,plain,
    product(product(c,product(c,b)),product(a,c)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),c)),product(bigC(c,a,c),c)) )],[refute_0_2671,refute_0_2691]) ).

cnf(refute_0_2693,plain,
    product(product(product(c,a),B),product(b,D)) = product(product(product(c,a),b),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(c,a))),bind(C,$fot(b))]]) ).

cnf(refute_0_2694,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_2695,plain,
    ( 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)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_2694]) ).

cnf(refute_0_2696,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(product(c,a),B),product(b,D)),product(product(product(c,a),b),product(B,D))) )],[refute_0_2693,refute_0_2695]) ).

cnf(refute_0_2697,plain,
    product(product(product(c,a),a),product(b,c)) = product(product(c,product(c,b)),product(a,c)),
    inference(subst,[],[refute_0_2696:[bind(B,$fot(a)),bind(D,$fot(c))]]) ).

cnf(refute_0_2698,plain,
    ( product(product(c,product(c,b)),product(a,c)) != product(bigC(c,a,c),c)
    | product(product(product(c,a),a),product(b,c)) != product(product(c,product(c,b)),product(a,c))
    | product(product(product(c,a),a),product(b,c)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),a),product(b,c)))),bind(Y,$fot(product(product(c,product(c,b)),product(a,c)))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2699,plain,
    ( product(product(c,product(c,b)),product(a,c)) != product(bigC(c,a,c),c)
    | product(product(product(c,a),a),product(b,c)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(b,c)),product(product(c,product(c,b)),product(a,c))) )],[refute_0_2697,refute_0_2698]) ).

cnf(refute_0_2700,plain,
    product(product(product(c,a),a),product(b,c)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),product(bigC(c,a,c),c)) )],[refute_0_2692,refute_0_2699]) ).

cnf(refute_0_2701,plain,
    difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))))]]) ).

cnf(refute_0_2702,plain,
    ( difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c)))
    | product(product(product(c,a),a),product(b,c)) != product(bigC(c,a,c),c)
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = difference(bigC(a,a,b),product(bigC(c,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c)))) ),[1,1],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_2703,plain,
    ( product(product(product(c,a),a),product(b,c)) != product(bigC(c,a,c),c)
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = difference(bigC(a,a,b),product(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c)))) )],[refute_0_2701,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) = difference(bigC(a,a,b),product(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(b,c)),product(bigC(c,a,c),c)) )],[refute_0_2700,refute_0_2703]) ).

cnf(refute_0_2705,plain,
    ( difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != difference(bigC(a,a,b),product(bigC(c,a,c),c))
    | difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != product(bigC(b,a,c),c)
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = product(bigC(b,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),product(bigC(b,a,c),c)) ),[0],$fot(difference(bigC(a,a,b),product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2706,plain,
    ( difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))) != product(bigC(b,a,c),c)
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = product(bigC(b,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),difference(bigC(a,a,b),product(bigC(c,a,c),c))) )],[refute_0_2704,refute_0_2705]) ).

cnf(refute_0_2707,plain,
    difference(bigC(a,a,b),product(bigC(c,a,c),c)) = product(bigC(b,a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(c,a),a),product(b,c))),product(bigC(b,a,c),c)) )],[refute_0_2606,refute_0_2706]) ).

cnf(refute_0_2708,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),c)) = c,
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_2709,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_2710,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_2711,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_2709,refute_0_2710]) ).

cnf(refute_0_2712,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_1946,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    difference(bigC(a,a,b),product(bigC(c,a,c),c)) = difference(bigC(a,a,b),product(bigC(c,a,c),c)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_2714,plain,
    ( difference(bigC(a,a,b),product(bigC(c,a,c),c)) != difference(bigC(a,a,b),product(bigC(c,a,c),c))
    | product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = difference(bigC(a,a,b),product(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),difference(bigC(a,a,b),product(bigC(c,a,c),c))) ),[1,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_2715,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = difference(bigC(a,a,b),product(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),difference(bigC(a,a,b),product(bigC(c,a,c),c))) )],[refute_0_2713,refute_0_2714]) ).

cnf(refute_0_2716,plain,
    difference(bigC(a,a,b),product(bigC(c,a,c),c)) = difference(bigC(a,a,b),product(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_2712,refute_0_2715]) ).

cnf(refute_0_2717,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),c)) != c
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) != difference(bigC(a,a,b),product(bigC(a,a,b),c))
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(a,a,b),product(bigC(c,a,c),c)))),bind(Y,$fot(difference(bigC(a,a,b),product(bigC(a,a,b),c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_2718,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),c)) != c
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) = c ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),difference(bigC(a,a,b),product(bigC(a,a,b),c))) )],[refute_0_2716,refute_0_2717]) ).

cnf(refute_0_2719,plain,
    difference(bigC(a,a,b),product(bigC(c,a,c),c)) = c,
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),c)),c) )],[refute_0_2708,refute_0_2718]) ).

cnf(refute_0_2720,plain,
    ( difference(bigC(a,a,b),product(bigC(c,a,c),c)) != c
    | difference(bigC(a,a,b),product(bigC(c,a,c),c)) != product(bigC(b,a,c),c)
    | c = product(bigC(b,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),product(bigC(b,a,c),c)) ),[0],$fot(c)]]) ).

cnf(refute_0_2721,plain,
    ( difference(bigC(a,a,b),product(bigC(c,a,c),c)) != product(bigC(b,a,c),c)
    | c = product(bigC(b,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),c) )],[refute_0_2719,refute_0_2720]) ).

cnf(refute_0_2722,plain,
    c = product(bigC(b,a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(c,a,c),c)),product(bigC(b,a,c),c)) )],[refute_0_2707,refute_0_2721]) ).

cnf(refute_0_2723,plain,
    ( c != product(bigC(b,a,c),c)
    | product(bigC(b,a,c),c) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(bigC(b,a,c),c)))]]) ).

cnf(refute_0_2724,plain,
    product(bigC(b,a,c),c) = c,
    inference(resolve,[$cnf( $equal(c,product(bigC(b,a,c),c)) )],[refute_0_2722,refute_0_2723]) ).

cnf(refute_0_2725,plain,
    ( product(bigC(b,a,c),c) != c
    | quotient(product(bigC(b,a,c),c),c) != bigC(b,a,c)
    | quotient(c,c) = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,a,c),c),c),bigC(b,a,c)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_2726,plain,
    ( quotient(product(bigC(b,a,c),c),c) != bigC(b,a,c)
    | quotient(c,c) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),c),c) )],[refute_0_2724,refute_0_2725]) ).

cnf(refute_0_2727,plain,
    quotient(c,c) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,a,c),c),c),bigC(b,a,c)) )],[refute_0_2541,refute_0_2726]) ).

cnf(refute_0_2728,plain,
    quotient(product(X_5,X_5),X_5) = X_5,
    inference(subst,[],[refute_0_58:[bind(A,$fot(X_5)),bind(B,$fot(X_5))]]) ).

cnf(refute_0_2729,plain,
    product(X_5,X_5) = X_5,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_5))]]) ).

cnf(refute_0_2730,plain,
    ( product(X_5,X_5) != X_5
    | quotient(product(X_5,X_5),X_5) != X_5
    | quotient(X_5,X_5) = X_5 ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_5,X_5),X_5),X_5) ),[0,0],$fot(X_5)]]) ).

cnf(refute_0_2731,plain,
    ( quotient(product(X_5,X_5),X_5) != X_5
    | quotient(X_5,X_5) = X_5 ),
    inference(resolve,[$cnf( $equal(product(X_5,X_5),X_5) )],[refute_0_2729,refute_0_2730]) ).

cnf(refute_0_2732,plain,
    quotient(X_5,X_5) = X_5,
    inference(resolve,[$cnf( $equal(quotient(product(X_5,X_5),X_5),X_5) )],[refute_0_2728,refute_0_2731]) ).

cnf(refute_0_2733,plain,
    quotient(c,c) = c,
    inference(subst,[],[refute_0_2732:[bind(X_5,$fot(c))]]) ).

cnf(refute_0_2734,plain,
    ( quotient(c,c) != bigC(b,a,c)
    | quotient(c,c) != c
    | c = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,c),bigC(b,a,c)) ),[0],$fot(c)]]) ).

cnf(refute_0_2735,plain,
    ( quotient(c,c) != bigC(b,a,c)
    | c = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(c,c),c) )],[refute_0_2733,refute_0_2734]) ).

cnf(refute_0_2736,plain,
    c = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(quotient(c,c),bigC(b,a,c)) )],[refute_0_2727,refute_0_2735]) ).

cnf(refute_0_2737,plain,
    ( c != bigC(b,a,c)
    | bigC(b,a,c) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_2738,plain,
    bigC(b,a,c) = c,
    inference(resolve,[$cnf( $equal(c,bigC(b,a,c)) )],[refute_0_2736,refute_0_2737]) ).

cnf(refute_0_2739,plain,
    product(bigC(b,a,c),product(b,c)) = product(bigC(b,a,c),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(b,c)))]]) ).

cnf(refute_0_2740,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(b,c)) != product(bigC(b,a,c),product(b,c))
    | product(bigC(b,a,c),product(b,c)) = product(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),product(bigC(b,a,c),product(b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2741,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(b,c)) = product(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),product(bigC(b,a,c),product(b,c))) )],[refute_0_2739,refute_0_2740]) ).

cnf(refute_0_2742,plain,
    product(bigC(b,a,c),product(b,c)) = product(c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_2741]) ).

cnf(refute_0_2743,plain,
    ( product(bigC(b,a,c),product(b,c)) != product(c,product(b,c))
    | product(c,product(b,c)) != bigC(b,a,b)
    | product(bigC(b,a,c),product(b,c)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,c),product(b,c)))),bind(Y,$fot(product(c,product(b,c)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_2744,plain,
    ( product(c,product(b,c)) != bigC(b,a,b)
    | product(bigC(b,a,c),product(b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),product(c,product(b,c))) )],[refute_0_2742,refute_0_2743]) ).

cnf(refute_0_2745,plain,
    product(bigC(b,a,c),product(b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(b,a,b)) )],[refute_0_2540,refute_0_2744]) ).

cnf(refute_0_2746,plain,
    ( product(bigC(b,a,c),product(b,c)) != bigC(b,a,b)
    | product(bigC(b,a,c),product(b,c)) != bigC(b,c,c)
    | bigC(b,a,b) = bigC(b,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,c)) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_2747,plain,
    ( product(bigC(b,a,c),product(b,c)) != bigC(b,c,c)
    | bigC(b,a,b) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,a,b)) )],[refute_0_2745,refute_0_2746]) ).

cnf(refute_0_2748,plain,
    bigC(b,a,b) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,c)) )],[refute_0_2537,refute_0_2747]) ).

cnf(refute_0_2749,plain,
    ( bigC(b,a,b) != bigC(b,c,c)
    | bigC(b,c,c) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(bigC(b,c,c)))]]) ).

cnf(refute_0_2750,plain,
    bigC(b,c,c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(b,c,c)) )],[refute_0_2748,refute_0_2749]) ).

cnf(refute_0_2751,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_2752,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_2750,refute_0_2751]) ).

cnf(refute_0_2753,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_2461,refute_0_2752]) ).

cnf(refute_0_2754,plain,
    ( difference(product(b,c),bigC(b,a,b)) != product(c,b)
    | quotient(bigC(b,a,b),difference(product(b,c),bigC(b,a,b))) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),difference(product(b,c),bigC(b,a,b))),product(b,c)) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_2755,plain,
    ( quotient(bigC(b,a,b),difference(product(b,c),bigC(b,a,b))) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),product(c,b)) )],[refute_0_2753,refute_0_2754]) ).

cnf(refute_0_2756,plain,
    quotient(bigC(b,a,b),product(c,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),difference(product(b,c),bigC(b,a,b))),product(b,c)) )],[refute_0_2460,refute_0_2755]) ).

cnf(refute_0_2757,plain,
    quotient(product(product(c,b),c),product(c,b)) = product(product(c,b),quotient(c,product(c,b))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(c,b))),bind(X_44,$fot(c))]]) ).

cnf(refute_0_2758,plain,
    quotient(c,difference(product(b,a),c)) = product(b,a),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(b,a))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_2759,plain,
    difference(product(b,a),bigC(b,a,c)) = product(c,b),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(b)),bind(X_18,$fot(a)),bind(X_19,$fot(c))]]) ).

cnf(refute_0_2760,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_2761,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_2738,refute_0_2760]) ).

cnf(refute_0_2762,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_2759,refute_0_2761]) ).

cnf(refute_0_2763,plain,
    ( difference(product(b,a),c) != product(c,b)
    | quotient(c,difference(product(b,a),c)) != product(b,a)
    | quotient(c,product(c,b)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(b,a),c)),product(b,a)) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_2764,plain,
    ( quotient(c,difference(product(b,a),c)) != product(b,a)
    | quotient(c,product(c,b)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_2762,refute_0_2763]) ).

cnf(refute_0_2765,plain,
    quotient(c,product(c,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(b,a),c)),product(b,a)) )],[refute_0_2758,refute_0_2764]) ).

cnf(refute_0_2766,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | quotient(product(product(c,b),c),product(c,b)) != product(product(c,b),quotient(c,product(c,b)))
    | quotient(product(product(c,b),c),product(c,b)) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),product(product(c,b),quotient(c,product(c,b)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_2767,plain,
    ( quotient(product(product(c,b),c),product(c,b)) != product(product(c,b),quotient(c,product(c,b)))
    | quotient(product(product(c,b),c),product(c,b)) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2765,refute_0_2766]) ).

cnf(refute_0_2768,plain,
    quotient(product(product(c,b),c),product(c,b)) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),product(product(c,b),quotient(c,product(c,b)))) )],[refute_0_2757,refute_0_2767]) ).

cnf(refute_0_2769,plain,
    quotient(bigC(c,b,c),product(c,b)) = quotient(bigC(c,b,c),product(c,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,b,c),product(c,b)))]]) ).

cnf(refute_0_2770,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(c,b,c),product(c,b)) != quotient(bigC(c,b,c),product(c,b))
    | quotient(bigC(c,b,c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,c),product(c,b)),quotient(bigC(c,b,c),product(c,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_2771,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(c,b,c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,c),product(c,b)),quotient(bigC(c,b,c),product(c,b))) )],[refute_0_2769,refute_0_2770]) ).

cnf(refute_0_2772,plain,
    quotient(bigC(c,b,c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_2771]) ).

cnf(refute_0_2773,plain,
    product(product(c,b),quotient(c,product(c,b))) = quotient(bigC(c,b,c),product(c,b)),
    inference(subst,[],[refute_0_1192:[bind(X_18,$fot(b)),bind(X_55,$fot(c))]]) ).

cnf(refute_0_2774,plain,
    ( product(product(c,b),quotient(c,product(c,b))) != quotient(bigC(c,b,c),product(c,b))
    | quotient(product(product(c,b),c),product(c,b)) != product(product(c,b),quotient(c,product(c,b)))
    | quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(c,b,c),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,b),c),product(c,b)))),bind(Y,$fot(product(product(c,b),quotient(c,product(c,b))))),bind(Z,$fot(quotient(bigC(c,b,c),product(c,b))))]]) ).

cnf(refute_0_2775,plain,
    ( product(product(c,b),quotient(c,product(c,b))) != quotient(bigC(c,b,c),product(c,b))
    | quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(c,b,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),product(product(c,b),quotient(c,product(c,b)))) )],[refute_0_2757,refute_0_2774]) ).

cnf(refute_0_2776,plain,
    quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(c,b,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(c,product(c,b))),quotient(bigC(c,b,c),product(c,b))) )],[refute_0_2773,refute_0_2775]) ).

cnf(refute_0_2777,plain,
    ( quotient(bigC(c,b,c),product(c,b)) != quotient(bigC(b,a,b),product(c,b))
    | quotient(product(product(c,b),c),product(c,b)) != quotient(bigC(c,b,c),product(c,b))
    | quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,b),c),product(c,b)))),bind(Y,$fot(quotient(bigC(c,b,c),product(c,b)))),bind(Z,$fot(quotient(bigC(b,a,b),product(c,b))))]]) ).

cnf(refute_0_2778,plain,
    ( quotient(bigC(c,b,c),product(c,b)) != quotient(bigC(b,a,b),product(c,b))
    | quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),quotient(bigC(c,b,c),product(c,b))) )],[refute_0_2776,refute_0_2777]) ).

cnf(refute_0_2779,plain,
    quotient(product(product(c,b),c),product(c,b)) = quotient(bigC(b,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,c),product(c,b)),quotient(bigC(b,a,b),product(c,b))) )],[refute_0_2772,refute_0_2778]) ).

cnf(refute_0_2780,plain,
    ( quotient(product(product(c,b),c),product(c,b)) != product(product(c,b),product(b,a))
    | quotient(product(product(c,b),c),product(c,b)) != quotient(bigC(b,a,b),product(c,b))
    | quotient(bigC(b,a,b),product(c,b)) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),product(product(c,b),product(b,a))) ),[0],$fot(quotient(bigC(b,a,b),product(c,b)))]]) ).

cnf(refute_0_2781,plain,
    ( quotient(product(product(c,b),c),product(c,b)) != product(product(c,b),product(b,a))
    | quotient(bigC(b,a,b),product(c,b)) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),quotient(bigC(b,a,b),product(c,b))) )],[refute_0_2779,refute_0_2780]) ).

cnf(refute_0_2782,plain,
    quotient(bigC(b,a,b),product(c,b)) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),c),product(c,b)),product(product(c,b),product(b,a))) )],[refute_0_2768,refute_0_2781]) ).

cnf(refute_0_2783,plain,
    ( quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) != product(product(c,b),product(b,a))
    | product(product(c,b),product(b,a)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) ),[0],$fot(product(product(c,b),product(b,a)))]]) ).

cnf(refute_0_2784,plain,
    ( quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | product(product(c,b),product(b,a)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(product(c,b),product(b,a))) )],[refute_0_2782,refute_0_2783]) ).

cnf(refute_0_2785,plain,
    product(product(c,b),product(b,a)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_2756,refute_0_2784]) ).

cnf(refute_0_2786,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_2787,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_2785,refute_0_2786]) ).

cnf(refute_0_2788,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_2459,refute_0_2787]) ).

cnf(refute_0_2789,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),quotient(product(b,c),product(b,a)))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) = product(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),product(product(b,a),quotient(product(b,c),product(b,a)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_2790,plain,
    ( quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),quotient(product(b,c),product(b,a)))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) = product(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_2788,refute_0_2789]) ).

cnf(refute_0_2791,plain,
    quotient(product(product(b,a),product(b,c)),product(b,a)) = product(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),product(product(b,a),quotient(product(b,c),product(b,a)))) )],[refute_0_2458,refute_0_2790]) ).

cnf(refute_0_2792,plain,
    product(product(b,a),quotient(product(b,c),product(b,a))) = quotient(product(b,product(a,c)),product(b,a)),
    inference(subst,[],[refute_0_445:[bind(X_65,$fot(b)),bind(X_66,$fot(a)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_2793,plain,
    ( product(product(b,a),quotient(product(b,c),product(b,a))) != quotient(product(b,product(a,c)),product(b,a))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),quotient(product(b,c),product(b,a)))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) = quotient(product(b,product(a,c)),product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(b,a),product(b,c)),product(b,a)))),bind(Y,$fot(product(product(b,a),quotient(product(b,c),product(b,a))))),bind(Z,$fot(quotient(product(b,product(a,c)),product(b,a))))]]) ).

cnf(refute_0_2794,plain,
    ( product(product(b,a),quotient(product(b,c),product(b,a))) != quotient(product(b,product(a,c)),product(b,a))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) = quotient(product(b,product(a,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),product(product(b,a),quotient(product(b,c),product(b,a)))) )],[refute_0_2458,refute_0_2793]) ).

cnf(refute_0_2795,plain,
    quotient(product(product(b,a),product(b,c)),product(b,a)) = quotient(product(b,product(a,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(b,c),product(b,a))),quotient(product(b,product(a,c)),product(b,a))) )],[refute_0_2792,refute_0_2794]) ).

cnf(refute_0_2796,plain,
    ( quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),product(c,b))
    | quotient(product(product(b,a),product(b,c)),product(b,a)) != quotient(product(b,product(a,c)),product(b,a))
    | quotient(product(b,product(a,c)),product(b,a)) = product(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),product(product(b,a),product(c,b))) ),[0],$fot(quotient(product(b,product(a,c)),product(b,a)))]]) ).

cnf(refute_0_2797,plain,
    ( quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),product(c,b))
    | quotient(product(b,product(a,c)),product(b,a)) = product(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),quotient(product(b,product(a,c)),product(b,a))) )],[refute_0_2795,refute_0_2796]) ).

cnf(refute_0_2798,plain,
    product(product(b,a),product(c,b)) = bigC(b,a,c),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_2799,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_32:[bind(X,$fot(product(product(b,a),product(c,b)))),bind(Y,$fot(bigC(b,a,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_2800,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_2798,refute_0_2799]) ).

cnf(refute_0_2801,plain,
    product(product(b,a),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_2800]) ).

cnf(refute_0_2802,plain,
    ( product(product(b,a),product(c,b)) != c
    | quotient(product(b,product(a,c)),product(b,a)) != product(product(b,a),product(c,b))
    | quotient(product(b,product(a,c)),product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),product(product(b,a),product(c,b))) ),[1],$fot(c)]]) ).

cnf(refute_0_2803,plain,
    ( quotient(product(b,product(a,c)),product(b,a)) != product(product(b,a),product(c,b))
    | quotient(product(b,product(a,c)),product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),c) )],[refute_0_2801,refute_0_2802]) ).

cnf(refute_0_2804,plain,
    ( quotient(product(product(b,a),product(b,c)),product(b,a)) != product(product(b,a),product(c,b))
    | quotient(product(b,product(a,c)),product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),product(product(b,a),product(c,b))) )],[refute_0_2797,refute_0_2803]) ).

cnf(refute_0_2805,plain,
    quotient(product(b,product(a,c)),product(b,a)) = c,
    inference(resolve,[$cnf( $equal(quotient(product(product(b,a),product(b,c)),product(b,a)),product(product(b,a),product(c,b))) )],[refute_0_2791,refute_0_2804]) ).

cnf(refute_0_2806,plain,
    ( bigC(quotient(product(b,product(a,c)),product(b,a)),product(b,a),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,product(a,c)),product(b,a)),product(b,a),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_2807,plain,
    ( bigC(quotient(product(b,product(a,c)),product(b,a)),product(b,a),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_2806]) ).

cnf(refute_0_2808,plain,
    bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,product(a,c)),product(b,a)),product(b,a),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) )],[refute_0_2457,refute_0_2807]) ).

cnf(refute_0_2809,plain,
    product(bigC(b,a,c),product(X_25,c)) = product(product(bigC(b,a,c),X_25),product(bigC(b,a,c),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(b,a,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_2810,plain,
    ( product(bigC(b,a,c),c) != c
    | product(bigC(b,a,c),product(X_25,c)) != product(product(bigC(b,a,c),X_25),product(bigC(b,a,c),c))
    | product(bigC(b,a,c),product(X_25,c)) = product(product(bigC(b,a,c),X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(product(bigC(b,a,c),X_25),product(bigC(b,a,c),c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2811,plain,
    ( product(bigC(b,a,c),product(X_25,c)) != product(product(bigC(b,a,c),X_25),product(bigC(b,a,c),c))
    | product(bigC(b,a,c),product(X_25,c)) = product(product(bigC(b,a,c),X_25),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),c),c) )],[refute_0_2724,refute_0_2810]) ).

cnf(refute_0_2812,plain,
    product(bigC(b,a,c),product(X_25,c)) = product(product(bigC(b,a,c),X_25),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(product(bigC(b,a,c),X_25),product(bigC(b,a,c),c))) )],[refute_0_2809,refute_0_2811]) ).

cnf(refute_0_2813,plain,
    product(c,product(X_25,c)) = bigC(c,c,X_25),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(X_25))]]) ).

cnf(refute_0_2814,plain,
    product(bigC(b,a,c),product(X_25,c)) = product(bigC(b,a,c),product(X_25,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(X_25,c)))]]) ).

cnf(refute_0_2815,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(X_25,c)) != product(bigC(b,a,c),product(X_25,c))
    | product(bigC(b,a,c),product(X_25,c)) = product(c,product(X_25,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(bigC(b,a,c),product(X_25,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2816,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(X_25,c)) = product(c,product(X_25,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(bigC(b,a,c),product(X_25,c))) )],[refute_0_2814,refute_0_2815]) ).

cnf(refute_0_2817,plain,
    product(bigC(b,a,c),product(X_25,c)) = product(c,product(X_25,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_2816]) ).

cnf(refute_0_2818,plain,
    ( product(bigC(b,a,c),product(X_25,c)) != product(c,product(X_25,c))
    | product(c,product(X_25,c)) != bigC(c,c,X_25)
    | product(bigC(b,a,c),product(X_25,c)) = bigC(c,c,X_25) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,c),product(X_25,c)))),bind(Y,$fot(product(c,product(X_25,c)))),bind(Z,$fot(bigC(c,c,X_25)))]]) ).

cnf(refute_0_2819,plain,
    ( product(c,product(X_25,c)) != bigC(c,c,X_25)
    | product(bigC(b,a,c),product(X_25,c)) = bigC(c,c,X_25) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(c,product(X_25,c))) )],[refute_0_2817,refute_0_2818]) ).

cnf(refute_0_2820,plain,
    product(bigC(b,a,c),product(X_25,c)) = bigC(c,c,X_25),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,c)),bigC(c,c,X_25)) )],[refute_0_2813,refute_0_2819]) ).

cnf(refute_0_2821,plain,
    ( product(bigC(b,a,c),product(X_25,c)) != bigC(c,c,X_25)
    | product(bigC(b,a,c),product(X_25,c)) != product(product(bigC(b,a,c),X_25),c)
    | bigC(c,c,X_25) = product(product(bigC(b,a,c),X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(product(bigC(b,a,c),X_25),c)) ),[0],$fot(bigC(c,c,X_25))]]) ).

cnf(refute_0_2822,plain,
    ( product(bigC(b,a,c),product(X_25,c)) != product(product(bigC(b,a,c),X_25),c)
    | bigC(c,c,X_25) = product(product(bigC(b,a,c),X_25),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),bigC(c,c,X_25)) )],[refute_0_2820,refute_0_2821]) ).

cnf(refute_0_2823,plain,
    product(product(c,X_25),c) = bigC(c,X_25,c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(X_25))]]) ).

cnf(refute_0_2824,plain,
    product(bigC(b,a,c),X_25) = product(bigC(b,a,c),X_25),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),X_25))]]) ).

cnf(refute_0_2825,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),X_25) != product(bigC(b,a,c),X_25)
    | product(bigC(b,a,c),X_25) = product(c,X_25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),X_25),product(bigC(b,a,c),X_25)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2826,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),X_25) = product(c,X_25) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),X_25),product(bigC(b,a,c),X_25)) )],[refute_0_2824,refute_0_2825]) ).

cnf(refute_0_2827,plain,
    product(bigC(b,a,c),X_25) = product(c,X_25),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_2826]) ).

cnf(refute_0_2828,plain,
    product(product(bigC(b,a,c),X_25),c) = product(product(bigC(b,a,c),X_25),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,c),X_25),c))]]) ).

cnf(refute_0_2829,plain,
    ( product(bigC(b,a,c),X_25) != product(c,X_25)
    | product(product(bigC(b,a,c),X_25),c) != product(product(bigC(b,a,c),X_25),c)
    | product(product(bigC(b,a,c),X_25),c) = product(product(c,X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,c),X_25),c),product(product(bigC(b,a,c),X_25),c)) ),[1,0],$fot(product(c,X_25))]]) ).

cnf(refute_0_2830,plain,
    ( product(bigC(b,a,c),X_25) != product(c,X_25)
    | product(product(bigC(b,a,c),X_25),c) = product(product(c,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),X_25),c),product(product(bigC(b,a,c),X_25),c)) )],[refute_0_2828,refute_0_2829]) ).

cnf(refute_0_2831,plain,
    product(product(bigC(b,a,c),X_25),c) = product(product(c,X_25),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),X_25),product(c,X_25)) )],[refute_0_2827,refute_0_2830]) ).

cnf(refute_0_2832,plain,
    ( product(product(bigC(b,a,c),X_25),c) != product(product(c,X_25),c)
    | product(product(c,X_25),c) != bigC(c,X_25,c)
    | product(product(bigC(b,a,c),X_25),c) = bigC(c,X_25,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,c),X_25),c))),bind(Y,$fot(product(product(c,X_25),c))),bind(Z,$fot(bigC(c,X_25,c)))]]) ).

cnf(refute_0_2833,plain,
    ( product(product(c,X_25),c) != bigC(c,X_25,c)
    | product(product(bigC(b,a,c),X_25),c) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),X_25),c),product(product(c,X_25),c)) )],[refute_0_2831,refute_0_2832]) ).

cnf(refute_0_2834,plain,
    product(product(bigC(b,a,c),X_25),c) = bigC(c,X_25,c),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),c),bigC(c,X_25,c)) )],[refute_0_2823,refute_0_2833]) ).

cnf(refute_0_2835,plain,
    ( bigC(c,c,X_25) != product(product(bigC(b,a,c),X_25),c)
    | product(product(bigC(b,a,c),X_25),c) != bigC(c,X_25,c)
    | bigC(c,c,X_25) = bigC(c,X_25,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,X_25),bigC(c,X_25,c)) ),[0],$fot(product(product(bigC(b,a,c),X_25),c))]]) ).

cnf(refute_0_2836,plain,
    ( bigC(c,c,X_25) != product(product(bigC(b,a,c),X_25),c)
    | bigC(c,c,X_25) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),X_25),c),bigC(c,X_25,c)) )],[refute_0_2834,refute_0_2835]) ).

cnf(refute_0_2837,plain,
    ( product(bigC(b,a,c),product(X_25,c)) != product(product(bigC(b,a,c),X_25),c)
    | bigC(c,c,X_25) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,X_25),product(product(bigC(b,a,c),X_25),c)) )],[refute_0_2822,refute_0_2836]) ).

cnf(refute_0_2838,plain,
    bigC(c,c,X_25) = bigC(c,X_25,c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(X_25,c)),product(product(bigC(b,a,c),X_25),c)) )],[refute_0_2812,refute_0_2837]) ).

cnf(refute_0_2839,plain,
    ( bigC(c,c,X_25) != bigC(c,X_25,c)
    | bigC(c,X_25,c) = bigC(c,c,X_25) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,c,X_25))),bind(Y,$fot(bigC(c,X_25,c)))]]) ).

cnf(refute_0_2840,plain,
    bigC(c,X_25,c) = bigC(c,c,X_25),
    inference(resolve,[$cnf( $equal(bigC(c,c,X_25),bigC(c,X_25,c)) )],[refute_0_2838,refute_0_2839]) ).

cnf(refute_0_2841,plain,
    bigC(c,product(b,a),c) = bigC(c,c,product(b,a)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(b,a)))]]) ).

cnf(refute_0_2842,plain,
    bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))))]]) ).

cnf(refute_0_2843,plain,
    ( bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a)))
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a)))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_2844,plain,
    ( quotient(product(b,product(a,c)),product(b,a)) != c
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,product(b,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a)))) )],[refute_0_2842,refute_0_2843]) ).

cnf(refute_0_2845,plain,
    bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,product(b,a),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_2844]) ).

cnf(refute_0_2846,plain,
    ( bigC(c,product(b,a),c) != bigC(c,c,product(b,a))
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != bigC(c,product(b,a),c)
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))))),bind(Y,$fot(bigC(c,product(b,a),c))),bind(Z,$fot(bigC(c,c,product(b,a))))]]) ).

cnf(refute_0_2847,plain,
    ( bigC(c,product(b,a),c) != bigC(c,c,product(b,a))
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),bigC(c,product(b,a),c)) )],[refute_0_2845,refute_0_2846]) ).

cnf(refute_0_2848,plain,
    bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) = bigC(c,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),c),bigC(c,c,product(b,a))) )],[refute_0_2841,refute_0_2847]) ).

cnf(refute_0_2849,plain,
    ( bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != bigC(c,c,product(b,a))
    | bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | bigC(c,c,product(b,a)) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) ),[0],$fot(bigC(c,c,product(b,a)))]]) ).

cnf(refute_0_2850,plain,
    ( bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | bigC(c,c,product(b,a)) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),bigC(c,c,product(b,a))) )],[refute_0_2848,refute_0_2849]) ).

cnf(refute_0_2851,plain,
    quotient(product(product(product(b,product(a,c)),c),c),c) = product(product(b,product(a,c)),c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(b,product(a,c)),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_2852,plain,
    quotient(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(product(b,product(a,c)),c),c))),bind(B,$fot(bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_2853,plain,
    product(product(product(product(b,product(a,c)),c),product(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(product(product(b,product(a,c)),c))),bind(X_18,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_2854,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_2855,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_2856,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_2854,refute_0_2855]) ).

cnf(refute_0_2857,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_1370,refute_0_2856]) ).

cnf(refute_0_2858,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_2859,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_2860,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_2858,refute_0_2859]) ).

cnf(refute_0_2861,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_2857,refute_0_2860]) ).

cnf(refute_0_2862,plain,
    ( 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)))
    | c = product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))) ),[0],$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_2863,plain,
    ( c != 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))) ),
    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_2861,refute_0_2862]) ).

cnf(refute_0_2864,plain,
    c = product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(c,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) )],[refute_0_728,refute_0_2863]) ).

cnf(refute_0_2865,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_85:[bind(X_18,$fot(product(b,a))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_2866,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_2867,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_2785,refute_0_2866]) ).

cnf(refute_0_2868,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_2865,refute_0_2867]) ).

cnf(refute_0_2869,plain,
    difference(bigC(c,a,c),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))) = product(bigC(b,b,c),bigC(c,a,c)),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(bigC(c,a,c))),bind(X_53,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_2870,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(c,a,b)
    | difference(bigC(c,a,c),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))) != product(bigC(b,b,c),bigC(c,a,c))
    | difference(bigC(c,a,c),bigC(c,a,b)) = product(bigC(b,b,c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))),product(bigC(b,b,c),bigC(c,a,c))) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_2871,plain,
    ( difference(bigC(c,a,c),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))) != product(bigC(b,b,c),bigC(c,a,c))
    | difference(bigC(c,a,c),bigC(c,a,b)) = product(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(c,a,b)) )],[refute_0_1646,refute_0_2870]) ).

cnf(refute_0_2872,plain,
    difference(bigC(c,a,c),bigC(c,a,b)) = product(bigC(b,b,c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2869,refute_0_2871]) ).

cnf(refute_0_2873,plain,
    difference(bigC(c,a,c),bigC(c,a,b)) = difference(bigC(c,a,c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_2874,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),bigC(c,a,b))
    | difference(bigC(c,a,c),bigC(c,a,b)) = difference(bigC(c,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2875,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(c,a,c),bigC(c,a,b)) = difference(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),bigC(c,a,b))) )],[refute_0_2873,refute_0_2874]) ).

cnf(refute_0_2876,plain,
    difference(bigC(c,a,c),bigC(c,a,b)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_2875]) ).

cnf(refute_0_2877,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | difference(bigC(c,a,c),bigC(c,a,b)) != product(bigC(b,b,c),bigC(c,a,c))
    | difference(bigC(c,a,c),c) = product(bigC(b,b,c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),product(bigC(b,b,c),bigC(c,a,c))) ),[0],$fot(difference(bigC(c,a,c),c))]]) ).

cnf(refute_0_2878,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != product(bigC(b,b,c),bigC(c,a,c))
    | difference(bigC(c,a,c),c) = product(bigC(b,b,c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),c)) )],[refute_0_2876,refute_0_2877]) ).

cnf(refute_0_2879,plain,
    difference(bigC(c,a,c),c) = product(bigC(b,b,c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2872,refute_0_2878]) ).

cnf(refute_0_2880,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,[],[refute_0_9:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_2881,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_2565:[bind(X_47,$fot(product(c,b)))]]) ).

cnf(refute_0_2882,plain,
    difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))) = product(b,bigC(c,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_2883,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_2884,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_1299,refute_0_2883]) ).

cnf(refute_0_2885,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_2882,refute_0_2884]) ).

cnf(refute_0_2886,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_2887,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_2885,refute_0_2886]) ).

cnf(refute_0_2888,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_2881,refute_0_2887]) ).

cnf(refute_0_2889,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_2890,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_285,refute_0_2889]) ).

cnf(refute_0_2891,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_2888,refute_0_2890]) ).

cnf(refute_0_2892,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_2893,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_2891,refute_0_2892]) ).

cnf(refute_0_2894,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_2880,refute_0_2893]) ).

cnf(refute_0_2895,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_2896,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_2897,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_2895,refute_0_2896]) ).

cnf(refute_0_2898,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_772,refute_0_2897]) ).

cnf(refute_0_2899,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_2900,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_2898,refute_0_2899]) ).

cnf(refute_0_2901,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_2902,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_2903,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_2901,refute_0_2902]) ).

cnf(refute_0_2904,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_2512,refute_0_2903]) ).

cnf(refute_0_2905,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_2906,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_2904,refute_0_2905]) ).

cnf(refute_0_2907,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_2900,refute_0_2906]) ).

cnf(refute_0_2908,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_2894,refute_0_2907]) ).

cnf(refute_0_2909,plain,
    difference(bigC(c,a,c),c) = difference(bigC(c,a,c),c),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),c))]]) ).

cnf(refute_0_2910,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),c) != difference(bigC(c,a,c),c)
    | difference(bigC(c,a,c),c) = difference(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),c),difference(bigC(c,a,c),c)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2911,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),c) = difference(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),difference(bigC(c,a,c),c)) )],[refute_0_2909,refute_0_2910]) ).

cnf(refute_0_2912,plain,
    difference(bigC(c,a,c),c) = difference(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_2911]) ).

cnf(refute_0_2913,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,c),c)
    | difference(bigC(c,a,c),c) != difference(bigC(a,a,b),c)
    | difference(bigC(c,a,c),c) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(c,a,c),c))),bind(Y,$fot(difference(bigC(a,a,b),c))),bind(Z,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_2914,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,c),c)
    | difference(bigC(c,a,c),c) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),difference(bigC(a,a,b),c)) )],[refute_0_2912,refute_0_2913]) ).

cnf(refute_0_2915,plain,
    difference(bigC(c,a,c),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),c),product(product(b,c),c)) )],[refute_0_2908,refute_0_2914]) ).

cnf(refute_0_2916,plain,
    ( difference(bigC(c,a,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(product(b,c),c) = product(bigC(b,b,c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),c),product(bigC(b,b,c),bigC(c,a,c))) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_2917,plain,
    ( difference(bigC(c,a,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | product(product(b,c),c) = product(bigC(b,b,c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_2916]) ).

cnf(refute_0_2918,plain,
    product(bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),bigC(c,a,c)))]]) ).

cnf(refute_0_2919,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),bigC(c,a,c))
    | product(bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2920,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2918,refute_0_2919]) ).

cnf(refute_0_2921,plain,
    product(bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_2920]) ).

cnf(refute_0_2922,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),bigC(a,a,b))
    | product(product(b,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | product(product(b,c),c) = product(bigC(b,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),c),product(bigC(b,b,c),bigC(c,a,c))) ),[1],$fot(product(bigC(b,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_2923,plain,
    ( product(product(b,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | product(product(b,c),c) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),bigC(a,a,b))) )],[refute_0_2921,refute_0_2922]) ).

cnf(refute_0_2924,plain,
    ( difference(bigC(c,a,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | product(product(b,c),c) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2917,refute_0_2923]) ).

cnf(refute_0_2925,plain,
    product(product(b,c),c) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2879,refute_0_2924]) ).

cnf(refute_0_2926,plain,
    ( product(product(b,c),c) != product(bigC(b,b,c),bigC(a,a,b))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,c),c))),bind(Y,$fot(product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_2927,plain,
    product(bigC(b,b,c),bigC(a,a,b)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(bigC(b,b,c),bigC(a,a,b))) )],[refute_0_2925,refute_0_2926]) ).

cnf(refute_0_2928,plain,
    product(product(b,product(c,b)),bigC(a,a,b)) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_2929,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(product(b,c),c)
    | product(product(b,product(c,b)),bigC(a,a,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | product(product(b,product(c,b)),bigC(a,a,b)) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(product(bigC(b,b,c),bigC(a,a,b)))),bind(Z,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_2930,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(product(b,c),c)
    | product(product(b,product(c,b)),bigC(a,a,b)) = product(product(b,c),c) ),
    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_2928,refute_0_2929]) ).

cnf(refute_0_2931,plain,
    product(product(b,product(c,b)),bigC(a,a,b)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(product(b,c),c)) )],[refute_0_2927,refute_0_2930]) ).

cnf(refute_0_2932,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_1966:[bind(C,$fot(product(c,b))),bind(X_65,$fot(b)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_2933,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(product(b,c),c)
    | bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_32:[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(product(b,c),c)))]]) ).

cnf(refute_0_2934,plain,
    ( product(product(b,product(c,b)),bigC(a,a,b)) != product(product(b,c),c)
    | bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,c),c) ),
    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_2932,refute_0_2933]) ).

cnf(refute_0_2935,plain,
    bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,b)),bigC(a,a,b)),product(product(b,c),c)) )],[refute_0_2931,refute_0_2934]) ).

cnf(refute_0_2936,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,c),c)
    | product(product(b,c),c) = 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(product(b,c),c))]]) ).

cnf(refute_0_2937,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | product(product(b,c),c) = product(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,c),c)) )],[refute_0_2935,refute_0_2936]) ).

cnf(refute_0_2938,plain,
    product(product(b,a),product(b,c)) = product(b,product(a,c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_2939,plain,
    ( product(product(b,a),product(b,c)) != product(b,product(a,c))
    | product(product(b,c),c) != product(product(b,a),product(b,c))
    | product(product(b,c),c) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),c),product(product(b,a),product(b,c))) ),[1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_2940,plain,
    ( product(product(b,c),c) != product(product(b,a),product(b,c))
    | product(product(b,c),c) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,c)),product(b,product(a,c))) )],[refute_0_2938,refute_0_2939]) ).

cnf(refute_0_2941,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | product(product(b,c),c) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(product(b,a),product(b,c))) )],[refute_0_2937,refute_0_2940]) ).

cnf(refute_0_2942,plain,
    product(product(b,c),c) = 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_2868,refute_0_2941]) ).

cnf(refute_0_2943,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_2944,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_2945,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_2943,refute_0_2944]) ).

cnf(refute_0_2946,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_2942,refute_0_2945]) ).

cnf(refute_0_2947,plain,
    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))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_2948,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(b,a,b))) != 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))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))) ),[1,0],$fot(product(product(b,product(a,c)),c))]]) ).

cnf(refute_0_2949,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(b,a,b))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(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)))) )],[refute_0_2947,refute_0_2948]) ).

cnf(refute_0_2950,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),c),product(product(b,product(a,c)),c)) )],[refute_0_2946,refute_0_2949]) ).

cnf(refute_0_2951,plain,
    ( 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))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | c = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) ),[0],$fot(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_2952,plain,
    ( c != product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))
    | c = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) )],[refute_0_2950,refute_0_2951]) ).

cnf(refute_0_2953,plain,
    c = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(c,product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))) )],[refute_0_2864,refute_0_2952]) ).

cnf(refute_0_2954,plain,
    ( c != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_2955,plain,
    product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) = c,
    inference(resolve,[$cnf( $equal(c,product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) )],[refute_0_2953,refute_0_2954]) ).

cnf(refute_0_2956,plain,
    ( product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) != c
    | product(product(product(product(b,product(a,c)),c),product(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) ),[0,0,1,0],$fot(c)]]) ).

cnf(refute_0_2957,plain,
    ( product(product(product(product(b,product(a,c)),c),product(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),c) )],[refute_0_2955,refute_0_2956]) ).

cnf(refute_0_2958,plain,
    product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) )],[refute_0_2853,refute_0_2957]) ).

cnf(refute_0_2959,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = product(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),product(bigC(b,a,b),c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(bigC(b,a,b),c))),bind(X_18,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_2960,plain,
    product(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c)) = c,
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(bigC(b,a,b),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_2961,plain,
    difference(product(bigC(b,a,b),c),c) = product(c,product(c,quotient(bigC(b,a,b),c))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(bigC(b,a,b))),bind(X_30,$fot(c))]]) ).

cnf(refute_0_2962,plain,
    quotient(bigC(c,b,c),c) = product(c,b),
    inference(subst,[],[refute_0_246:[bind(B,$fot(c)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_2963,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_2964,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_1370,refute_0_2963]) ).

cnf(refute_0_2965,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_2962,refute_0_2964]) ).

cnf(refute_0_2966,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_2967,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_2965,refute_0_2966]) ).

cnf(refute_0_2968,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_2961,refute_0_2967]) ).

cnf(refute_0_2969,plain,
    ( difference(product(bigC(b,a,b),c),c) != product(c,product(c,product(c,b)))
    | product(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c)) != c
    | product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c)),c) ),[0,1],$fot(product(c,product(c,product(c,b))))]]) ).

cnf(refute_0_2970,plain,
    ( product(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c)) != c
    | product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))) = c ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),product(c,product(c,product(c,b)))) )],[refute_0_2968,refute_0_2969]) ).

cnf(refute_0_2971,plain,
    product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))) = c,
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c)),c) )],[refute_0_2960,refute_0_2970]) ).

cnf(refute_0_2972,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != product(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),product(bigC(b,a,b),c))
    | product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))) != c
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = product(c,product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),product(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),product(bigC(b,a,b),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2973,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != product(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),product(bigC(b,a,b),c))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = product(c,product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),c) )],[refute_0_2971,refute_0_2972]) ).

cnf(refute_0_2974,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = product(c,product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),product(product(product(bigC(b,a,b),c),product(c,product(c,product(c,b)))),product(bigC(b,a,b),c))) )],[refute_0_2959,refute_0_2973]) ).

cnf(refute_0_2975,plain,
    bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(c,bigC(b,a,b)))),bind(C,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2976,plain,
    bigC(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c),X_19) = product(c,product(X_19,product(bigC(b,a,b),c))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(c)),bind(X_17,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2977,plain,
    ( bigC(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c),X_19) != product(c,product(X_19,product(bigC(b,a,b),c)))
    | difference(product(bigC(b,a,b),c),c) != product(c,product(c,product(c,b)))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = product(c,product(X_19,product(bigC(b,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c),X_19),product(c,product(X_19,product(bigC(b,a,b),c)))) ),[0,1],$fot(product(c,product(c,product(c,b))))]]) ).

cnf(refute_0_2978,plain,
    ( bigC(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c),X_19) != product(c,product(X_19,product(bigC(b,a,b),c)))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = product(c,product(X_19,product(bigC(b,a,b),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),product(c,product(c,product(c,b)))) )],[refute_0_2968,refute_0_2977]) ).

cnf(refute_0_2979,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = product(c,product(X_19,product(bigC(b,a,b),c))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),difference(product(bigC(b,a,b),c),c),X_19),product(c,product(X_19,product(bigC(b,a,b),c)))) )],[refute_0_2976,refute_0_2978]) ).

cnf(refute_0_2980,plain,
    product(c,product(X_19,product(bigC(b,a,b),c))) = bigC(c,X_19,product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(bigC(b,a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(X_19))]]) ).

cnf(refute_0_2981,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) != product(c,product(X_19,product(bigC(b,a,b),c)))
    | product(c,product(X_19,product(bigC(b,a,b),c))) != bigC(c,X_19,product(c,bigC(b,a,b)))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = bigC(c,X_19,product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19),bigC(c,X_19,product(c,bigC(b,a,b)))) ),[0],$fot(product(c,product(X_19,product(bigC(b,a,b),c))))]]) ).

cnf(refute_0_2982,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) != product(c,product(X_19,product(bigC(b,a,b),c)))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = bigC(c,X_19,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_19,product(bigC(b,a,b),c))),bigC(c,X_19,product(c,bigC(b,a,b)))) )],[refute_0_2980,refute_0_2981]) ).

cnf(refute_0_2983,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19) = bigC(c,X_19,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),X_19),product(c,product(X_19,product(bigC(b,a,b),c)))) )],[refute_0_2979,refute_0_2982]) ).

cnf(refute_0_2984,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_2983:[bind(X_19,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2985,plain,
    ( bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))) != bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b)))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)))),bind(Y,$fot(bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))))),bind(Z,$fot(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))))]]) ).

cnf(refute_0_2986,plain,
    ( bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))) != bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b)))) )],[refute_0_2984,refute_0_2985]) ).

cnf(refute_0_2987,plain,
    bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(bigC(b,a,b),c),product(c,bigC(b,a,b))),bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))) )],[refute_0_2975,refute_0_2986]) ).

cnf(refute_0_2988,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))
    | bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != product(c,product(bigC(b,a,b),c))
    | bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = product(c,product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),product(c,product(bigC(b,a,b),c))) ),[0],$fot(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2989,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != product(c,product(bigC(b,a,b),c))
    | bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = product(c,product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))) )],[refute_0_2987,refute_0_2988]) ).

cnf(refute_0_2990,plain,
    product(c,product(bigC(b,a,b),c)) = bigC(c,c,bigC(b,a,b)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_2991,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) != product(c,product(bigC(b,a,b),c))
    | product(c,product(bigC(b,a,b),c)) != bigC(c,c,bigC(b,a,b))
    | bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)),bigC(c,c,bigC(b,a,b))) ),[0],$fot(product(c,product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2992,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) != product(c,product(bigC(b,a,b),c))
    | bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,a,b),c)),bigC(c,c,bigC(b,a,b))) )],[refute_0_2990,refute_0_2991]) ).

cnf(refute_0_2993,plain,
    ( bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)) != product(c,product(bigC(b,a,b),c))
    | bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)),product(c,product(bigC(b,a,b),c))) )],[refute_0_2989,refute_0_2992]) ).

cnf(refute_0_2994,plain,
    bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(b,a,b),c),product(c,product(c,product(c,b))),product(bigC(b,a,b),c)),product(c,product(bigC(b,a,b),c))) )],[refute_0_2974,refute_0_2993]) ).

cnf(refute_0_2995,plain,
    bigC(c,c,product(b,c)) = product(c,product(product(b,c),c)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(c)),bind(X_19,$fot(product(b,c)))]]) ).

cnf(refute_0_2996,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_2997,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_2942,refute_0_2996]) ).

cnf(refute_0_2998,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_2995,refute_0_2997]) ).

cnf(refute_0_2999,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_3000,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_3001,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_2999,refute_0_3000]) ).

cnf(refute_0_3002,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_1597,refute_0_3001]) ).

cnf(refute_0_3003,plain,
    bigC(c,c,product(b,c)) = product(bigC(c,c,b),c),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(c)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_3004,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_32:[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_3005,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_3003,refute_0_3004]) ).

cnf(refute_0_3006,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_3002,refute_0_3005]) ).

cnf(refute_0_3007,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_3008,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_3006,refute_0_3007]) ).

cnf(refute_0_3009,plain,
    product(c,product(b,product(a,c))) = bigC(c,b,product(c,a)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_3010,plain,
    ( product(bigC(b,a,b),c) != product(c,product(b,product(a,c)))
    | product(c,product(b,product(a,c))) != bigC(c,b,product(c,a))
    | product(bigC(b,a,b),c) = bigC(c,b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,b),c),bigC(c,b,product(c,a))) ),[0],$fot(product(c,product(b,product(a,c))))]]) ).

cnf(refute_0_3011,plain,
    ( product(bigC(b,a,b),c) != product(c,product(b,product(a,c)))
    | product(bigC(b,a,b),c) = bigC(c,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,c))),bigC(c,b,product(c,a))) )],[refute_0_3009,refute_0_3010]) ).

cnf(refute_0_3012,plain,
    ( bigC(c,c,product(b,c)) != product(c,product(b,product(a,c)))
    | product(bigC(b,a,b),c) = bigC(c,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(c,product(b,product(a,c)))) )],[refute_0_3008,refute_0_3011]) ).

cnf(refute_0_3013,plain,
    product(bigC(b,a,b),c) = bigC(c,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(c,product(b,product(a,c)))) )],[refute_0_2998,refute_0_3012]) ).

cnf(refute_0_3014,plain,
    ( product(bigC(b,a,b),c) != bigC(c,b,product(c,a))
    | bigC(c,b,product(c,a)) = product(bigC(b,a,b),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(b,a,b),c))),bind(Y,$fot(bigC(c,b,product(c,a))))]]) ).

cnf(refute_0_3015,plain,
    bigC(c,b,product(c,a)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),bigC(c,b,product(c,a))) )],[refute_0_3013,refute_0_3014]) ).

cnf(refute_0_3016,plain,
    ( bigC(c,b,product(c,a)) != product(bigC(b,a,b),c)
    | product(c,product(b,product(a,c))) != bigC(c,b,product(c,a))
    | product(c,product(b,product(a,c))) = product(bigC(b,a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(b,product(a,c))))),bind(Y,$fot(bigC(c,b,product(c,a)))),bind(Z,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_3017,plain,
    ( bigC(c,b,product(c,a)) != product(bigC(b,a,b),c)
    | product(c,product(b,product(a,c))) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,c))),bigC(c,b,product(c,a))) )],[refute_0_3009,refute_0_3016]) ).

cnf(refute_0_3018,plain,
    product(c,product(b,product(a,c))) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,a)),product(bigC(b,a,b),c)) )],[refute_0_3015,refute_0_3017]) ).

cnf(refute_0_3019,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_3020,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) != bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c))))
    | product(c,product(b,product(a,c))) != product(bigC(b,a,b),c)
    | bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c))))) ),[1,2],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_3021,plain,
    ( product(c,product(b,product(a,c))) != product(bigC(b,a,b),c)
    | bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c))))) )],[refute_0_3019,refute_0_3020]) ).

cnf(refute_0_3022,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,product(c,bigC(b,a,b)),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_3018,refute_0_3021]) ).

cnf(refute_0_3023,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) != bigC(c,c,bigC(b,a,b))
    | bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) != bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))
    | bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))))),bind(Y,$fot(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)))),bind(Z,$fot(bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_3024,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)) != bigC(c,c,bigC(b,a,b))
    | bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c))) )],[refute_0_3022,refute_0_3023]) ).

cnf(refute_0_3025,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) = bigC(c,c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(bigC(b,a,b),c)),bigC(c,c,bigC(b,a,b))) )],[refute_0_2994,refute_0_3024]) ).

cnf(refute_0_3026,plain,
    product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) = bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(product(b,product(a,c)))),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3027,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) != bigC(c,c,bigC(b,a,b))
    | product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) != bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c))))
    | product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) = bigC(c,c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))),bind(Y,$fot(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))))),bind(Z,$fot(bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_3028,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))) != bigC(c,c,bigC(b,a,b))
    | product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))),bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c))))) )],[refute_0_3026,refute_0_3027]) ).

cnf(refute_0_3029,plain,
    product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) = bigC(c,c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,product(b,product(a,c)))),bigC(c,c,bigC(b,a,b))) )],[refute_0_3025,refute_0_3028]) ).

cnf(refute_0_3030,plain,
    product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) = product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))))]]) ).

cnf(refute_0_3031,plain,
    ( product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) != bigC(c,c,bigC(b,a,b))
    | product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) != product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))
    | product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))),product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))) ),[1,1],$fot(bigC(c,c,bigC(b,a,b)))]]) ).

cnf(refute_0_3032,plain,
    ( product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))) != bigC(c,c,bigC(b,a,b))
    | product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))),product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))) )],[refute_0_3030,refute_0_3031]) ).

cnf(refute_0_3033,plain,
    product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))),bigC(c,c,bigC(b,a,b))) )],[refute_0_3029,refute_0_3032]) ).

cnf(refute_0_3034,plain,
    product(product(A,B),product(X_66,product(C,A))) = product(product(product(A,B),X_66),product(product(A,B),product(C,A))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(A,B))),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(C,A)))]]) ).

cnf(refute_0_3035,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(A,B),product(X_66,product(C,A))) != product(product(product(A,B),X_66),product(product(A,B),product(C,A)))
    | product(product(A,B),product(X_66,product(C,A))) = product(product(product(A,B),X_66),bigC(A,B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(X_66,product(C,A))),product(product(product(A,B),X_66),product(product(A,B),product(C,A)))) ),[1,1],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_3036,plain,
    ( product(product(A,B),product(X_66,product(C,A))) != product(product(product(A,B),X_66),product(product(A,B),product(C,A)))
    | product(product(A,B),product(X_66,product(C,A))) = product(product(product(A,B),X_66),bigC(A,B,C)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_3035]) ).

cnf(refute_0_3037,plain,
    product(product(A,B),product(X_66,product(C,A))) = product(product(product(A,B),X_66),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(X_66,product(C,A))),product(product(product(A,B),X_66),product(product(A,B),product(C,A)))) )],[refute_0_3034,refute_0_3036]) ).

cnf(refute_0_3038,plain,
    ( product(product(A,B),product(X_66,product(C,A))) != product(product(product(A,B),X_66),bigC(A,B,C))
    | product(product(product(A,B),X_66),bigC(A,B,C)) = product(product(A,B),product(X_66,product(C,A))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,B),product(X_66,product(C,A))))),bind(Y,$fot(product(product(product(A,B),X_66),bigC(A,B,C))))]]) ).

cnf(refute_0_3039,plain,
    product(product(product(A,B),X_66),bigC(A,B,C)) = product(product(A,B),product(X_66,product(C,A))),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(X_66,product(C,A))),product(product(product(A,B),X_66),bigC(A,B,C))) )],[refute_0_3037,refute_0_3038]) ).

cnf(refute_0_3040,plain,
    product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))),
    inference(subst,[],[refute_0_3039:[bind(A,$fot(product(product(b,product(a,c)),c))),bind(B,$fot(c)),bind(C,$fot(product(c,bigC(b,a,b)))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3041,plain,
    ( product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) != product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))))),bind(Y,$fot(product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))))),bind(Z,$fot(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3042,plain,
    ( product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))) != product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))),product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c))))) )],[refute_0_3040,refute_0_3041]) ).

cnf(refute_0_3043,plain,
    product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),product(c,product(product(c,bigC(b,a,b)),product(product(b,product(a,c)),c)))),product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))) )],[refute_0_3033,refute_0_3042]) ).

cnf(refute_0_3044,plain,
    bigC(product(X_36,C),B,C) = product(product(product(X_36,C),B),product(C,product(X_36,C))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(X_36,C)))]]) ).

cnf(refute_0_3045,plain,
    bigC(C,C,X_36) = product(C,product(X_36,C)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(C)),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_3046,plain,
    ( bigC(C,C,X_36) != product(C,product(X_36,C))
    | product(C,product(X_36,C)) = bigC(C,C,X_36) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(C,C,X_36))),bind(Y,$fot(product(C,product(X_36,C))))]]) ).

cnf(refute_0_3047,plain,
    product(C,product(X_36,C)) = bigC(C,C,X_36),
    inference(resolve,[$cnf( $equal(bigC(C,C,X_36),product(C,product(X_36,C))) )],[refute_0_3045,refute_0_3046]) ).

cnf(refute_0_3048,plain,
    ( bigC(product(X_36,C),B,C) != product(product(product(X_36,C),B),product(C,product(X_36,C)))
    | product(C,product(X_36,C)) != bigC(C,C,X_36)
    | bigC(product(X_36,C),B,C) = product(product(product(X_36,C),B),bigC(C,C,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_36,C),B,C),product(product(product(X_36,C),B),product(C,product(X_36,C)))) ),[1,1],$fot(bigC(C,C,X_36))]]) ).

cnf(refute_0_3049,plain,
    ( bigC(product(X_36,C),B,C) != product(product(product(X_36,C),B),product(C,product(X_36,C)))
    | bigC(product(X_36,C),B,C) = product(product(product(X_36,C),B),bigC(C,C,X_36)) ),
    inference(resolve,[$cnf( $equal(product(C,product(X_36,C)),bigC(C,C,X_36)) )],[refute_0_3047,refute_0_3048]) ).

cnf(refute_0_3050,plain,
    bigC(product(X_36,C),B,C) = product(product(product(X_36,C),B),bigC(C,C,X_36)),
    inference(resolve,[$cnf( $equal(bigC(product(X_36,C),B,C),product(product(product(X_36,C),B),product(C,product(X_36,C)))) )],[refute_0_3044,refute_0_3049]) ).

cnf(refute_0_3051,plain,
    product(C,C) = C,
    inference(subst,[],[refute_0_22:[bind(A,$fot(C))]]) ).

cnf(refute_0_3052,plain,
    bigC(product(X_36,C),product(C,C),B) = bigC(product(X_36,C),product(C,C),B),
    introduced(tautology,[refl,[$fot(bigC(product(X_36,C),product(C,C),B))]]) ).

cnf(refute_0_3053,plain,
    ( bigC(product(X_36,C),product(C,C),B) != bigC(product(X_36,C),product(C,C),B)
    | product(C,C) != C
    | bigC(product(X_36,C),product(C,C),B) = bigC(product(X_36,C),C,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_36,C),product(C,C),B),bigC(product(X_36,C),product(C,C),B)) ),[1,1],$fot(C)]]) ).

cnf(refute_0_3054,plain,
    ( product(C,C) != C
    | bigC(product(X_36,C),product(C,C),B) = bigC(product(X_36,C),C,B) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_36,C),product(C,C),B),bigC(product(X_36,C),product(C,C),B)) )],[refute_0_3052,refute_0_3053]) ).

cnf(refute_0_3055,plain,
    bigC(product(X_36,C),product(C,C),B) = bigC(product(X_36,C),C,B),
    inference(resolve,[$cnf( $equal(product(C,C),C) )],[refute_0_3051,refute_0_3054]) ).

cnf(refute_0_3056,plain,
    product(product(product(X_36,C),B),bigC(C,C,X_36)) = bigC(product(X_36,C),product(C,C),B),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(B)),bind(X_23,$fot(X_36)),bind(X_24,$fot(C)),bind(X_25,$fot(C)),bind(X_26,$fot(C))]]) ).

cnf(refute_0_3057,plain,
    ( bigC(product(X_36,C),product(C,C),B) != bigC(product(X_36,C),C,B)
    | product(product(product(X_36,C),B),bigC(C,C,X_36)) != bigC(product(X_36,C),product(C,C),B)
    | product(product(product(X_36,C),B),bigC(C,C,X_36)) = bigC(product(X_36,C),C,B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_36,C),B),bigC(C,C,X_36)))),bind(Y,$fot(bigC(product(X_36,C),product(C,C),B))),bind(Z,$fot(bigC(product(X_36,C),C,B)))]]) ).

cnf(refute_0_3058,plain,
    ( bigC(product(X_36,C),product(C,C),B) != bigC(product(X_36,C),C,B)
    | product(product(product(X_36,C),B),bigC(C,C,X_36)) = bigC(product(X_36,C),C,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_36,C),B),bigC(C,C,X_36)),bigC(product(X_36,C),product(C,C),B)) )],[refute_0_3056,refute_0_3057]) ).

cnf(refute_0_3059,plain,
    product(product(product(X_36,C),B),bigC(C,C,X_36)) = bigC(product(X_36,C),C,B),
    inference(resolve,[$cnf( $equal(bigC(product(X_36,C),product(C,C),B),bigC(product(X_36,C),C,B)) )],[refute_0_3055,refute_0_3058]) ).

cnf(refute_0_3060,plain,
    ( bigC(product(X_36,C),B,C) != product(product(product(X_36,C),B),bigC(C,C,X_36))
    | product(product(product(X_36,C),B),bigC(C,C,X_36)) != bigC(product(X_36,C),C,B)
    | bigC(product(X_36,C),B,C) = bigC(product(X_36,C),C,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_36,C),B,C),bigC(product(X_36,C),C,B)) ),[0],$fot(product(product(product(X_36,C),B),bigC(C,C,X_36)))]]) ).

cnf(refute_0_3061,plain,
    ( bigC(product(X_36,C),B,C) != product(product(product(X_36,C),B),bigC(C,C,X_36))
    | bigC(product(X_36,C),B,C) = bigC(product(X_36,C),C,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_36,C),B),bigC(C,C,X_36)),bigC(product(X_36,C),C,B)) )],[refute_0_3059,refute_0_3060]) ).

cnf(refute_0_3062,plain,
    bigC(product(X_36,C),B,C) = bigC(product(X_36,C),C,B),
    inference(resolve,[$cnf( $equal(bigC(product(X_36,C),B,C),product(product(product(X_36,C),B),bigC(C,C,X_36))) )],[refute_0_3050,refute_0_3061]) ).

cnf(refute_0_3063,plain,
    bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c) = bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_3062:[bind(B,$fot(product(c,bigC(b,a,b)))),bind(C,$fot(c)),bind(X_36,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_3064,plain,
    bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),
    introduced(tautology,[refl,[$fot(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3065,plain,
    ( bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) != bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))
    | product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) != c
    | bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_3066,plain,
    ( product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) != c
    | bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) )],[refute_0_3064,refute_0_3065]) ).

cnf(refute_0_3067,plain,
    bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),c) )],[refute_0_2955,refute_0_3066]) ).

cnf(refute_0_3068,plain,
    ( bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c) != bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))
    | bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) != bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c)
    | bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))),bind(Y,$fot(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c))),bind(Z,$fot(bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3069,plain,
    ( bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c) != bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))
    | bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c)) )],[refute_0_3067,refute_0_3068]) ).

cnf(refute_0_3070,plain,
    bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) = bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) )],[refute_0_3063,refute_0_3069]) ).

cnf(refute_0_3071,plain,
    product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))))]]) ).

cnf(refute_0_3072,plain,
    ( bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) != bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))) ),[1,1],$fot(bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3073,plain,
    ( bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) != bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))) )],[refute_0_3071,refute_0_3072]) ).

cnf(refute_0_3074,plain,
    product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) )],[refute_0_3070,refute_0_3073]) ).

cnf(refute_0_3075,plain,
    product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),X_25),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(b,product(a,c)),c))),bind(X_26,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3076,plain,
    ( product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),X_25),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))
    | product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) != c
    | product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))),product(product(product(product(b,product(a,c)),c),X_25),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3077,plain,
    ( product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),X_25),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))
    | product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),X_25),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),c) )],[refute_0_2955,refute_0_3076]) ).

cnf(refute_0_3078,plain,
    product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),X_25),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(X_25,product(c,bigC(b,a,b)))),product(product(product(product(b,product(a,c)),c),X_25),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) )],[refute_0_3075,refute_0_3077]) ).

cnf(refute_0_3079,plain,
    product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))) = product(product(product(product(b,product(a,c)),c),c),c),
    inference(subst,[],[refute_0_3078:[bind(X_25,$fot(c))]]) ).

cnf(refute_0_3080,plain,
    product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))))]]) ).

cnf(refute_0_3081,plain,
    ( product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),c),c)
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))) ),[1,0],$fot(product(product(product(product(b,product(a,c)),c),c),c))]]) ).

cnf(refute_0_3082,plain,
    ( product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),c),c)
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))) )],[refute_0_3080,refute_0_3081]) ).

cnf(refute_0_3083,plain,
    product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),product(product(product(product(b,product(a,c)),c),c),c)) )],[refute_0_3079,refute_0_3082]) ).

cnf(refute_0_3084,plain,
    ( product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))))),bind(Y,$fot(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))))),bind(Z,$fot(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))))]]) ).

cnf(refute_0_3085,plain,
    ( product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))))) )],[refute_0_3083,refute_0_3084]) ).

cnf(refute_0_3086,plain,
    product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))) )],[refute_0_3074,refute_0_3085]) ).

cnf(refute_0_3087,plain,
    ( product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))
    | product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))))),bind(Y,$fot(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))))),bind(Z,$fot(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3088,plain,
    ( product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))) != product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b))))) )],[refute_0_3086,refute_0_3087]) ).

cnf(refute_0_3089,plain,
    product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) = product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(a,c)),c),c),c),bigC(product(product(b,product(a,c)),c),c,product(c,bigC(b,a,b)))),product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))) )],[refute_0_3043,refute_0_3088]) ).

cnf(refute_0_3090,plain,
    ( product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) ),[0],$fot(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_3091,plain,
    ( product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b)))) )],[refute_0_3089,refute_0_3090]) ).

cnf(refute_0_3092,plain,
    ( product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))) != c
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) ),[1],$fot(c)]]) ).

cnf(refute_0_3093,plain,
    ( product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))),c) )],[refute_0_2955,refute_0_3092]) ).

cnf(refute_0_3094,plain,
    ( product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))) != product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) )],[refute_0_3091,refute_0_3093]) ).

cnf(refute_0_3095,plain,
    product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),product(c,product(c,bigC(b,a,b)))),bigC(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b))))),product(product(product(b,product(a,c)),c),product(c,bigC(b,a,b)))) )],[refute_0_2958,refute_0_3094]) ).

cnf(refute_0_3096,plain,
    ( product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))) != c
    | quotient(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),c)
    | quotient(c,bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),c)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_3097,plain,
    ( quotient(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),c)
    | quotient(c,bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),c) )],[refute_0_3095,refute_0_3096]) ).

cnf(refute_0_3098,plain,
    quotient(c,bigC(c,c,bigC(b,a,b))) = product(product(product(b,product(a,c)),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(b,product(a,c)),c),c),bigC(c,c,bigC(b,a,b))),bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),c)) )],[refute_0_2852,refute_0_3097]) ).

cnf(refute_0_3099,plain,
    quotient(c,difference(product(c,product(c,bigC(a,a,b))),c)) = product(c,product(c,bigC(a,a,b))),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(c,product(c,bigC(a,a,b))))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_3100,plain,
    difference(product(c,product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))) = product(product(c,bigC(b,a,b)),c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,bigC(a,a,b)))),bind(X_19,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3101,plain,
    product(product(product(product(c,product(a,b)),c),c),product(c,product(c,product(c,product(a,b))))) = c,
    inference(subst,[],[refute_0_11:[bind(A,$fot(product(c,product(a,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_3102,plain,
    quotient(product(c,product(c,product(c,product(c,b)))),c) = product(c,quotient(product(c,product(c,product(c,b))),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_3103,plain,
    ( product(c,product(c,product(c,product(c,b)))) != product(c,bigC(b,a,product(a,b)))
    | quotient(product(c,product(c,product(c,product(c,b)))),c) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,quotient(product(c,product(c,product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,product(c,product(c,b)))),c),product(c,quotient(product(c,product(c,product(c,b))),c))) ),[0,0],$fot(product(c,bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_3104,plain,
    ( quotient(product(c,product(c,product(c,product(c,b)))),c) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,quotient(product(c,product(c,product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,product(c,b)))),product(c,bigC(b,a,product(a,b)))) )],[refute_0_1551,refute_0_3103]) ).

cnf(refute_0_3105,plain,
    quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,quotient(product(c,product(c,product(c,b))),c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,product(c,product(c,b)))),c),product(c,quotient(product(c,product(c,product(c,b))),c))) )],[refute_0_3102,refute_0_3104]) ).

cnf(refute_0_3106,plain,
    product(c,quotient(bigC(b,a,product(a,b)),c)) = product(c,quotient(bigC(b,a,product(a,b)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(bigC(b,a,product(a,b)),c)))]]) ).

cnf(refute_0_3107,plain,
    ( product(c,quotient(bigC(b,a,product(a,b)),c)) != product(c,quotient(bigC(b,a,product(a,b)),c))
    | quotient(bigC(b,a,product(a,b)),c) != product(c,product(a,b))
    | product(c,quotient(bigC(b,a,product(a,b)),c)) = product(c,product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(bigC(b,a,product(a,b)),c)),product(c,quotient(bigC(b,a,product(a,b)),c))) ),[1,1],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_3108,plain,
    ( quotient(bigC(b,a,product(a,b)),c) != product(c,product(a,b))
    | product(c,quotient(bigC(b,a,product(a,b)),c)) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(b,a,product(a,b)),c)),product(c,quotient(bigC(b,a,product(a,b)),c))) )],[refute_0_3106,refute_0_3107]) ).

cnf(refute_0_3109,plain,
    product(c,quotient(bigC(b,a,product(a,b)),c)) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),c),product(c,product(a,b))) )],[refute_0_1527,refute_0_3108]) ).

cnf(refute_0_3110,plain,
    quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,quotient(bigC(b,a,product(a,b)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_3111,plain,
    ( product(c,quotient(bigC(b,a,product(a,b)),c)) != product(c,product(c,product(a,b)))
    | quotient(product(c,bigC(b,a,product(a,b))),c) != product(c,quotient(bigC(b,a,product(a,b)),c))
    | quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,bigC(b,a,product(a,b))),c))),bind(Y,$fot(product(c,quotient(bigC(b,a,product(a,b)),c)))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_3112,plain,
    ( product(c,quotient(bigC(b,a,product(a,b)),c)) != product(c,product(c,product(a,b)))
    | quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,a,product(a,b))),c),product(c,quotient(bigC(b,a,product(a,b)),c))) )],[refute_0_3110,refute_0_3111]) ).

cnf(refute_0_3113,plain,
    quotient(product(c,bigC(b,a,product(a,b))),c) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(b,a,product(a,b)),c)),product(c,product(c,product(a,b)))) )],[refute_0_3109,refute_0_3112]) ).

cnf(refute_0_3114,plain,
    ( quotient(product(c,bigC(b,a,product(a,b))),c) != product(c,product(c,product(a,b)))
    | quotient(product(c,bigC(b,a,product(a,b))),c) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | product(c,product(c,product(a,b))) = product(c,quotient(product(c,product(c,product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,a,product(a,b))),c),product(c,quotient(product(c,product(c,product(c,b))),c))) ),[0],$fot(product(c,product(c,product(a,b))))]]) ).

cnf(refute_0_3115,plain,
    ( quotient(product(c,bigC(b,a,product(a,b))),c) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | product(c,product(c,product(a,b))) = product(c,quotient(product(c,product(c,product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,a,product(a,b))),c),product(c,product(c,product(a,b)))) )],[refute_0_3113,refute_0_3114]) ).

cnf(refute_0_3116,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(c,a,c),c)
    | product(c,product(a,product(b,c))) != bigC(c,a,product(c,b))
    | product(c,product(a,product(b,c))) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(a,product(b,c))))),bind(Y,$fot(bigC(c,a,product(c,b)))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_3117,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(c,a,c),c)
    | product(c,product(a,product(b,c))) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),bigC(c,a,product(c,b))) )],[refute_0_2654,refute_0_3116]) ).

cnf(refute_0_3118,plain,
    product(c,product(a,product(b,c))) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,b)),product(bigC(c,a,c),c)) )],[refute_0_2667,refute_0_3117]) ).

cnf(refute_0_3119,plain,
    ( product(c,quotient(product(c,product(c,b)),c)) != product(a,product(b,c))
    | quotient(product(c,product(c,product(c,b))),c) != product(c,quotient(product(c,product(c,b)),c))
    | quotient(product(c,product(c,product(c,b))),c) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,product(c,b))),c))),bind(Y,$fot(product(c,quotient(product(c,product(c,b)),c)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_3120,plain,
    ( product(c,quotient(product(c,product(c,b)),c)) != product(a,product(b,c))
    | quotient(product(c,product(c,product(c,b))),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,product(c,b))),c),product(c,quotient(product(c,product(c,b)),c))) )],[refute_0_892,refute_0_3119]) ).

cnf(refute_0_3121,plain,
    quotient(product(c,product(c,product(c,b))),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,b)),c)),product(a,product(b,c))) )],[refute_0_1829,refute_0_3120]) ).

cnf(refute_0_3122,plain,
    product(c,quotient(product(c,product(c,product(c,b))),c)) = product(c,quotient(product(c,product(c,product(c,b))),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,product(c,product(c,b))),c)))]]) ).

cnf(refute_0_3123,plain,
    ( product(c,quotient(product(c,product(c,product(c,b))),c)) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | quotient(product(c,product(c,product(c,b))),c) != product(a,product(b,c))
    | product(c,quotient(product(c,product(c,product(c,b))),c)) = product(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,product(c,product(c,b))),c)),product(c,quotient(product(c,product(c,product(c,b))),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_3124,plain,
    ( quotient(product(c,product(c,product(c,b))),c) != product(a,product(b,c))
    | product(c,quotient(product(c,product(c,product(c,b))),c)) = product(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,product(c,b))),c)),product(c,quotient(product(c,product(c,product(c,b))),c))) )],[refute_0_3122,refute_0_3123]) ).

cnf(refute_0_3125,plain,
    product(c,quotient(product(c,product(c,product(c,b))),c)) = product(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,product(c,b))),c),product(a,product(b,c))) )],[refute_0_3121,refute_0_3124]) ).

cnf(refute_0_3126,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(c,quotient(product(c,product(c,product(c,b))),c)) != product(c,product(a,product(b,c)))
    | product(c,quotient(product(c,product(c,product(c,b))),c)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(product(c,product(c,product(c,b))),c)))),bind(Y,$fot(product(c,product(a,product(b,c))))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_3127,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(c,quotient(product(c,product(c,product(c,b))),c)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,product(c,b))),c)),product(c,product(a,product(b,c)))) )],[refute_0_3125,refute_0_3126]) ).

cnf(refute_0_3128,plain,
    product(c,quotient(product(c,product(c,product(c,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_3118,refute_0_3127]) ).

cnf(refute_0_3129,plain,
    ( product(c,product(c,product(a,b))) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | product(c,quotient(product(c,product(c,product(c,b))),c)) != product(bigC(c,a,c),c)
    | product(c,product(c,product(a,b))) = product(bigC(c,a,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,product(a,b))),product(bigC(c,a,c),c)) ),[0],$fot(product(c,quotient(product(c,product(c,product(c,b))),c)))]]) ).

cnf(refute_0_3130,plain,
    ( product(c,product(c,product(a,b))) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | product(c,product(c,product(a,b))) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,product(c,product(c,b))),c)),product(bigC(c,a,c),c)) )],[refute_0_3128,refute_0_3129]) ).

cnf(refute_0_3131,plain,
    ( quotient(product(c,bigC(b,a,product(a,b))),c) != product(c,quotient(product(c,product(c,product(c,b))),c))
    | product(c,product(c,product(a,b))) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,b))),product(c,quotient(product(c,product(c,product(c,b))),c))) )],[refute_0_3115,refute_0_3130]) ).

cnf(refute_0_3132,plain,
    product(c,product(c,product(a,b))) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,a,product(a,b))),c),product(c,quotient(product(c,product(c,product(c,b))),c))) )],[refute_0_3105,refute_0_3131]) ).

cnf(refute_0_3133,plain,
    ( product(c,product(c,product(a,b))) != product(bigC(c,a,c),c)
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(c,product(c,product(a,b))))) != c
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(c,product(c,product(a,b))))),c) ),[0,1,1],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_3134,plain,
    ( product(product(product(product(c,product(a,b)),c),c),product(c,product(c,product(c,product(a,b))))) != c
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,b))),product(bigC(c,a,c),c)) )],[refute_0_3132,refute_0_3133]) ).

cnf(refute_0_3135,plain,
    product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(c,product(c,product(a,b))))),c) )],[refute_0_3101,refute_0_3134]) ).

cnf(refute_0_3136,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | product(product(c,product(a,b)),c) != bigC(c,product(a,b),c)
    | product(product(c,product(a,b)),c) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,b)),c))),bind(Y,$fot(bigC(c,product(a,b),c))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_3137,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | product(product(c,product(a,b)),c) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),c),bigC(c,product(a,b),c)) )],[refute_0_1488,refute_0_3136]) ).

cnf(refute_0_3138,plain,
    product(product(c,product(a,b)),c) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(b,a,product(a,b))) )],[refute_0_1517,refute_0_3137]) ).

cnf(refute_0_3139,plain,
    product(product(product(c,product(a,b)),c),c) = product(product(product(c,product(a,b)),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(a,b)),c),c))]]) ).

cnf(refute_0_3140,plain,
    ( product(product(c,product(a,b)),c) != bigC(b,a,product(a,b))
    | product(product(product(c,product(a,b)),c),c) != product(product(product(c,product(a,b)),c),c)
    | product(product(product(c,product(a,b)),c),c) = product(bigC(b,a,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(a,b)),c),c),product(product(product(c,product(a,b)),c),c)) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_3141,plain,
    ( product(product(c,product(a,b)),c) != bigC(b,a,product(a,b))
    | product(product(product(c,product(a,b)),c),c) = product(bigC(b,a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,b)),c),c),product(product(product(c,product(a,b)),c),c)) )],[refute_0_3139,refute_0_3140]) ).

cnf(refute_0_3142,plain,
    product(product(product(c,product(a,b)),c),c) = product(bigC(b,a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),c),bigC(b,a,product(a,b))) )],[refute_0_3138,refute_0_3141]) ).

cnf(refute_0_3143,plain,
    product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) = product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))))]]) ).

cnf(refute_0_3144,plain,
    ( product(product(product(c,product(a,b)),c),c) != product(bigC(b,a,product(a,b)),c)
    | product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) != product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c)))
    | product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))),product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c)))) ),[1,0],$fot(product(bigC(b,a,product(a,b)),c))]]) ).

cnf(refute_0_3145,plain,
    ( product(product(product(c,product(a,b)),c),c) != product(bigC(b,a,product(a,b)),c)
    | product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))),product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3143,refute_0_3144]) ).

cnf(refute_0_3146,plain,
    product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,b)),c),c),product(bigC(b,a,product(a,b)),c)) )],[refute_0_3142,refute_0_3145]) ).

cnf(refute_0_3147,plain,
    product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(product(c,product(a,b)),c))),bind(B,$fot(c)),bind(C,$fot(c)),bind(X_36,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_3148,plain,
    ( product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) != product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) != product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c)))
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))))),bind(Y,$fot(product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))))),bind(Z,$fot(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))))]]) ).

cnf(refute_0_3149,plain,
    ( product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))) != product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))),product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3147,refute_0_3148]) ).

cnf(refute_0_3150,plain,
    product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),bigC(c,c,bigC(c,a,c))),product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3146,refute_0_3149]) ).

cnf(refute_0_3151,plain,
    ( product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) != c
    | product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) != product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))),c) ),[0],$fot(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))))]]) ).

cnf(refute_0_3152,plain,
    ( product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))) != c
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))),product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3150,refute_0_3151]) ).

cnf(refute_0_3153,plain,
    product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(a,b)),c),c),product(c,product(bigC(c,a,c),c))),c) )],[refute_0_3135,refute_0_3152]) ).

cnf(refute_0_3154,plain,
    product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(bigC(c,a,c))),bind(X_45,$fot(c)),bind(X_46,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3155,plain,
    bigC(c,product(c,product(c,b)),c) = product(product(c,product(c,product(c,b))),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_3156,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(product(c,product(c,product(c,b))),c)
    | product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | bigC(c,product(c,product(c,b)),c) = product(bigC(b,a,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(product(c,product(c,product(c,b))),c)) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_3157,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(product(c,product(c,product(c,b))),c)
    | bigC(c,product(c,product(c,b)),c) = product(bigC(b,a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_3156]) ).

cnf(refute_0_3158,plain,
    bigC(c,product(c,product(c,b)),c) = product(bigC(b,a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(product(c,product(c,product(c,b))),c)) )],[refute_0_3155,refute_0_3157]) ).

cnf(refute_0_3159,plain,
    bigC(bigC(c,a,b),X_18,quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b))) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(product(c,a),product(b,product(b,c))))),bind(X_17,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_3160,plain,
    quotient(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,a,b),product(c,b)),
    inference(subst,[],[refute_0_246:[bind(B,$fot(bigC(c,a,b))),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_3161,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_50:[bind(X_17,$fot(bigC(c,a,b))),bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_3162,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_3163,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_215,refute_0_3162]) ).

cnf(refute_0_3164,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_3161,refute_0_3163]) ).

cnf(refute_0_3165,plain,
    product(product(product(c,a),b),bigC(c,a,b)) = product(product(c,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_3039:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_3166,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(product(c,a),b),bigC(c,a,b))
    | product(product(product(c,a),b),bigC(c,a,b)) != product(product(c,a),product(b,product(b,c)))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(c,a),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(c,a),product(b,product(b,c)))) ),[0],$fot(product(product(product(c,a),b),bigC(c,a,b)))]]) ).

cnf(refute_0_3167,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(product(c,a),b),bigC(c,a,b))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(c,a),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,a),product(b,product(b,c)))) )],[refute_0_3165,refute_0_3166]) ).

cnf(refute_0_3168,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(c,a),product(b,product(b,c))),
    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_3164,refute_0_3167]) ).

cnf(refute_0_3169,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(c,a),product(b,product(b,c)))
    | quotient(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,a,b),product(c,b))
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) = product(bigC(c,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,a,b),product(c,b))) ),[0,0],$fot(product(product(c,a),product(b,product(b,c))))]]) ).

cnf(refute_0_3170,plain,
    ( quotient(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,a,b),product(c,b))
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) = product(bigC(c,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(c,a),product(b,product(b,c)))) )],[refute_0_3168,refute_0_3169]) ).

cnf(refute_0_3171,plain,
    quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) = product(bigC(c,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,a,b),product(c,b))) )],[refute_0_3160,refute_0_3170]) ).

cnf(refute_0_3172,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) != product(bigC(c,a,b),product(c,b))
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)),product(bigC(c,a,b),product(c,b))) ),[1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_3173,plain,
    ( quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) != product(bigC(c,a,b),product(c,b))
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(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_215,refute_0_3172]) ).

cnf(refute_0_3174,plain,
    quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)),product(bigC(c,a,b),product(c,b))) )],[refute_0_3171,refute_0_3173]) ).

cnf(refute_0_3175,plain,
    ( bigC(bigC(c,a,b),X_18,quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b))) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)) != product(product(c,a),b)
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),X_18,quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b))),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) ),[0,2],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_3176,plain,
    ( bigC(bigC(c,a,b),X_18,quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b))) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b)),product(product(c,a),b)) )],[refute_0_3174,refute_0_3175]) ).

cnf(refute_0_3177,plain,
    bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_18,quotient(product(product(c,a),product(b,product(b,c))),bigC(c,a,b))),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3159,refute_0_3176]) ).

cnf(refute_0_3178,plain,
    bigC(c,X_18,product(product(c,a),b)) = bigC(c,X_18,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(bigC(c,X_18,product(product(c,a),b)))]]) ).

cnf(refute_0_3179,plain,
    ( bigC(c,X_18,product(product(c,a),b)) != bigC(c,X_18,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(c,X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,product(product(c,a),b)),bigC(c,X_18,product(product(c,a),b))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_3180,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | bigC(c,X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(product(c,a),b)),bigC(c,X_18,product(product(c,a),b))) )],[refute_0_3178,refute_0_3179]) ).

cnf(refute_0_3181,plain,
    bigC(c,X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_3180]) ).

cnf(refute_0_3182,plain,
    bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(bigC(c,a,b),X_18,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),X_18,product(product(c,a),b)))]]) ).

cnf(refute_0_3183,plain,
    ( bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != bigC(bigC(c,a,b),X_18,product(product(c,a),b))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),bigC(bigC(c,a,b),X_18,product(product(c,a),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3184,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),bigC(bigC(c,a,b),X_18,product(product(c,a),b))) )],[refute_0_3182,refute_0_3183]) ).

cnf(refute_0_3185,plain,
    bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3184]) ).

cnf(refute_0_3186,plain,
    ( bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != bigC(c,X_18,product(product(c,a),b))
    | bigC(c,X_18,product(product(c,a),b)) != bigC(c,X_18,product(c,product(c,b)))
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(c,a,b),X_18,product(product(c,a),b)))),bind(Y,$fot(bigC(c,X_18,product(product(c,a),b)))),bind(Z,$fot(bigC(c,X_18,product(c,product(c,b)))))]]) ).

cnf(refute_0_3187,plain,
    ( bigC(c,X_18,product(product(c,a),b)) != bigC(c,X_18,product(c,product(c,b)))
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),bigC(c,X_18,product(product(c,a),b))) )],[refute_0_3185,refute_0_3186]) ).

cnf(refute_0_3188,plain,
    bigC(bigC(c,a,b),X_18,product(product(c,a),b)) = bigC(c,X_18,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(product(c,a),b)),bigC(c,X_18,product(c,product(c,b)))) )],[refute_0_3181,refute_0_3187]) ).

cnf(refute_0_3189,plain,
    ( bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != bigC(c,X_18,product(c,product(c,b)))
    | bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | bigC(c,X_18,product(c,product(c,b))) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) ),[0],$fot(bigC(c,X_18,product(c,product(c,b))))]]) ).

cnf(refute_0_3190,plain,
    ( bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | bigC(c,X_18,product(c,product(c,b))) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),bigC(c,X_18,product(c,product(c,b)))) )],[refute_0_3188,refute_0_3189]) ).

cnf(refute_0_3191,plain,
    product(product(c,X_18),product(c,bigC(c,b,c))) = product(c,product(X_18,bigC(c,b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(X_18)),bind(X_26,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_3192,plain,
    bigC(c,c,product(c,b)) = product(c,bigC(c,b,c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(b)),bind(X_35,$fot(c))]]) ).

cnf(refute_0_3193,plain,
    bigC(c,product(c,b),c) = bigC(c,c,product(c,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_3194,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_32:[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_3195,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_3193,refute_0_3194]) ).

cnf(refute_0_3196,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_3192,refute_0_3195]) ).

cnf(refute_0_3197,plain,
    bigC(c,product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_3198,plain,
    ( bigC(c,a,b) != c
    | bigC(c,product(c,b),bigC(c,a,b)) != bigC(c,product(c,b),bigC(c,a,b))
    | bigC(c,product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,b),bigC(c,a,b)),bigC(c,product(c,b),bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_3199,plain,
    ( bigC(c,a,b) != c
    | bigC(c,product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(c,a,b)),bigC(c,product(c,b),bigC(c,a,b))) )],[refute_0_3197,refute_0_3198]) ).

cnf(refute_0_3200,plain,
    bigC(c,product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3199]) ).

cnf(refute_0_3201,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_3202,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3203,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))) )],[refute_0_3201,refute_0_3202]) ).

cnf(refute_0_3204,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3203]) ).

cnf(refute_0_3205,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != bigC(c,product(c,b),bigC(c,a,b))
    | bigC(c,product(c,b),bigC(c,a,b)) != bigC(c,product(c,b),c)
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)))),bind(Y,$fot(bigC(c,product(c,b),bigC(c,a,b)))),bind(Z,$fot(bigC(c,product(c,b),c)))]]) ).

cnf(refute_0_3206,plain,
    ( bigC(c,product(c,b),bigC(c,a,b)) != bigC(c,product(c,b),c)
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,product(c,b),bigC(c,a,b))) )],[refute_0_3204,refute_0_3205]) ).

cnf(refute_0_3207,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = bigC(c,product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(c,a,b)),bigC(c,product(c,b),c)) )],[refute_0_3200,refute_0_3206]) ).

cnf(refute_0_3208,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != bigC(c,product(c,b),c)
    | bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)))),bind(Y,$fot(bigC(c,product(c,b),c))),bind(Z,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_3209,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),bigC(c,product(c,b),c)) )],[refute_0_3207,refute_0_3208]) ).

cnf(refute_0_3210,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(c,b,c))) )],[refute_0_3196,refute_0_3209]) ).

cnf(refute_0_3211,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(c,bigC(c,b,c))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(c,a),product(b,product(b,c)))
    | product(c,bigC(c,b,c)) = product(product(c,a),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(c,a),product(b,product(b,c)))) ),[0],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_3212,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(c,a),product(b,product(b,c)))
    | product(c,bigC(c,b,c)) = product(product(c,a),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(c,bigC(c,b,c))) )],[refute_0_3210,refute_0_3211]) ).

cnf(refute_0_3213,plain,
    product(c,bigC(c,b,c)) = product(product(c,a),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(c,a),product(b,product(b,c)))) )],[refute_0_3168,refute_0_3212]) ).

cnf(refute_0_3214,plain,
    ( product(c,bigC(c,b,c)) != product(product(c,a),product(b,product(b,c)))
    | product(product(c,a),product(b,product(b,c))) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(c,b,c)))),bind(Y,$fot(product(product(c,a),product(b,product(b,c)))))]]) ).

cnf(refute_0_3215,plain,
    product(product(c,a),product(b,product(b,c))) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(product(c,a),product(b,product(b,c)))) )],[refute_0_3213,refute_0_3214]) ).

cnf(refute_0_3216,plain,
    product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(product(c,a),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,X_18),product(product(c,a),product(b,product(b,c)))))]]) ).

cnf(refute_0_3217,plain,
    ( product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) != product(product(c,X_18),product(product(c,a),product(b,product(b,c))))
    | product(product(c,a),product(b,product(b,c))) != product(c,bigC(c,b,c))
    | product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_18),product(product(c,a),product(b,product(b,c)))),product(product(c,X_18),product(product(c,a),product(b,product(b,c))))) ),[1,1],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_3218,plain,
    ( product(product(c,a),product(b,product(b,c))) != product(c,bigC(c,b,c))
    | product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),product(product(c,a),product(b,product(b,c)))),product(product(c,X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3216,refute_0_3217]) ).

cnf(refute_0_3219,plain,
    product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,product(b,c))),product(c,bigC(c,b,c))) )],[refute_0_3215,refute_0_3218]) ).

cnf(refute_0_3220,plain,
    product(bigC(c,a,b),X_18) = product(bigC(c,a,b),X_18),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),X_18))]]) ).

cnf(refute_0_3221,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),X_18) != product(bigC(c,a,b),X_18)
    | product(bigC(c,a,b),X_18) = product(c,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),X_18),product(bigC(c,a,b),X_18)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3222,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),X_18) = product(c,X_18) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),X_18),product(bigC(c,a,b),X_18)) )],[refute_0_3220,refute_0_3221]) ).

cnf(refute_0_3223,plain,
    product(bigC(c,a,b),X_18) = product(c,X_18),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3222]) ).

cnf(refute_0_3224,plain,
    product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))))]]) ).

cnf(refute_0_3225,plain,
    ( product(bigC(c,a,b),X_18) != product(c,X_18)
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) ),[1,0],$fot(product(c,X_18))]]) ).

cnf(refute_0_3226,plain,
    ( product(bigC(c,a,b),X_18) != product(c,X_18)
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3224,refute_0_3225]) ).

cnf(refute_0_3227,plain,
    product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(product(c,a),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),X_18),product(c,X_18)) )],[refute_0_3223,refute_0_3226]) ).

cnf(refute_0_3228,plain,
    ( product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) != product(product(c,X_18),product(product(c,a),product(b,product(b,c))))
    | product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) != product(product(c,X_18),product(c,bigC(c,b,c)))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))))),bind(Y,$fot(product(product(c,X_18),product(product(c,a),product(b,product(b,c)))))),bind(Z,$fot(product(product(c,X_18),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_3229,plain,
    ( product(product(c,X_18),product(product(c,a),product(b,product(b,c)))) != product(product(c,X_18),product(c,bigC(c,b,c)))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),product(product(c,X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3227,refute_0_3228]) ).

cnf(refute_0_3230,plain,
    product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(product(c,X_18),product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),product(product(c,a),product(b,product(b,c)))),product(product(c,X_18),product(c,bigC(c,b,c)))) )],[refute_0_3219,refute_0_3229]) ).

cnf(refute_0_3231,plain,
    ( product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) != product(product(c,X_18),product(c,bigC(c,b,c)))
    | product(product(c,X_18),product(c,bigC(c,b,c))) != product(c,product(X_18,bigC(c,b,c)))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(c,product(X_18,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))))),bind(Y,$fot(product(product(c,X_18),product(c,bigC(c,b,c))))),bind(Z,$fot(product(c,product(X_18,bigC(c,b,c)))))]]) ).

cnf(refute_0_3232,plain,
    ( product(product(c,X_18),product(c,bigC(c,b,c))) != product(c,product(X_18,bigC(c,b,c)))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(c,product(X_18,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),product(product(c,X_18),product(c,bigC(c,b,c)))) )],[refute_0_3230,refute_0_3231]) ).

cnf(refute_0_3233,plain,
    product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) = product(c,product(X_18,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),product(c,bigC(c,b,c))),product(c,product(X_18,bigC(c,b,c)))) )],[refute_0_3191,refute_0_3232]) ).

cnf(refute_0_3234,plain,
    ( bigC(c,X_18,product(c,product(c,b))) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))) != product(c,product(X_18,bigC(c,b,c)))
    | bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(c,product(c,b))),product(c,product(X_18,bigC(c,b,c)))) ),[0],$fot(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))))]]) ).

cnf(refute_0_3235,plain,
    ( bigC(c,X_18,product(c,product(c,b))) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c)))),product(c,product(X_18,bigC(c,b,c)))) )],[refute_0_3233,refute_0_3234]) ).

cnf(refute_0_3236,plain,
    ( bigC(bigC(c,a,b),X_18,product(product(c,a),b)) != product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))
    | bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(c,product(c,b))),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3190,refute_0_3235]) ).

cnf(refute_0_3237,plain,
    bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_18,product(product(c,a),b)),product(product(bigC(c,a,b),X_18),product(product(c,a),product(b,product(b,c))))) )],[refute_0_3177,refute_0_3236]) ).

cnf(refute_0_3238,plain,
    product(X_18,bigC(c,b,c)) = product(X_18,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(X_18,bigC(c,b,c)))]]) ).

cnf(refute_0_3239,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(X_18,bigC(c,b,c)) != product(X_18,bigC(c,b,c))
    | product(X_18,bigC(c,b,c)) = product(X_18,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_18,bigC(c,b,c)),product(X_18,bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_3240,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(X_18,bigC(c,b,c)) = product(X_18,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(X_18,bigC(c,b,c)),product(X_18,bigC(c,b,c))) )],[refute_0_3238,refute_0_3239]) ).

cnf(refute_0_3241,plain,
    product(X_18,bigC(c,b,c)) = product(X_18,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_3240]) ).

cnf(refute_0_3242,plain,
    product(c,product(X_18,bigC(c,b,c))) = product(c,product(X_18,bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(c,product(X_18,bigC(c,b,c))))]]) ).

cnf(refute_0_3243,plain,
    ( product(X_18,bigC(c,b,c)) != product(X_18,bigC(b,a,b))
    | product(c,product(X_18,bigC(c,b,c))) != product(c,product(X_18,bigC(c,b,c)))
    | product(c,product(X_18,bigC(c,b,c))) = product(c,product(X_18,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_18,bigC(c,b,c))),product(c,product(X_18,bigC(c,b,c)))) ),[1,1],$fot(product(X_18,bigC(b,a,b)))]]) ).

cnf(refute_0_3244,plain,
    ( product(X_18,bigC(c,b,c)) != product(X_18,bigC(b,a,b))
    | product(c,product(X_18,bigC(c,b,c))) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_18,bigC(c,b,c))),product(c,product(X_18,bigC(c,b,c)))) )],[refute_0_3242,refute_0_3243]) ).

cnf(refute_0_3245,plain,
    product(c,product(X_18,bigC(c,b,c))) = product(c,product(X_18,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(X_18,bigC(c,b,c)),product(X_18,bigC(b,a,b))) )],[refute_0_3241,refute_0_3244]) ).

cnf(refute_0_3246,plain,
    ( bigC(c,X_18,product(c,product(c,b))) != product(c,product(X_18,bigC(c,b,c)))
    | product(c,product(X_18,bigC(c,b,c))) != product(c,product(X_18,bigC(b,a,b)))
    | bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(c,product(c,b))),product(c,product(X_18,bigC(b,a,b)))) ),[0],$fot(product(c,product(X_18,bigC(c,b,c))))]]) ).

cnf(refute_0_3247,plain,
    ( bigC(c,X_18,product(c,product(c,b))) != product(c,product(X_18,bigC(c,b,c)))
    | bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_18,bigC(c,b,c))),product(c,product(X_18,bigC(b,a,b)))) )],[refute_0_3245,refute_0_3246]) ).

cnf(refute_0_3248,plain,
    bigC(c,X_18,product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(c,product(c,b))),product(c,product(X_18,bigC(c,b,c)))) )],[refute_0_3237,refute_0_3247]) ).

cnf(refute_0_3249,plain,
    bigC(c,c,product(c,product(c,b))) = product(c,product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_3248:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_3250,plain,
    bigC(c,product(c,product(c,b)),c) = bigC(c,c,product(c,product(c,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_3251,plain,
    ( bigC(c,c,product(c,product(c,b))) != product(c,product(c,bigC(b,a,b)))
    | 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,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[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,product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3252,plain,
    ( bigC(c,c,product(c,product(c,b))) != product(c,product(c,bigC(b,a,b)))
    | bigC(c,product(c,product(c,b)),c) = product(c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),bigC(c,c,product(c,product(c,b)))) )],[refute_0_3250,refute_0_3251]) ).

cnf(refute_0_3253,plain,
    bigC(c,product(c,product(c,b)),c) = product(c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,b))),product(c,product(c,bigC(b,a,b)))) )],[refute_0_3249,refute_0_3252]) ).

cnf(refute_0_3254,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(bigC(b,a,product(a,b)),c)
    | bigC(c,product(c,product(c,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(c,product(c,bigC(b,a,b))) = product(bigC(b,a,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(bigC(b,a,product(a,b)),c)) ),[0],$fot(product(c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3255,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(bigC(b,a,product(a,b)),c)
    | product(c,product(c,bigC(b,a,b))) = product(bigC(b,a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_3253,refute_0_3254]) ).

cnf(refute_0_3256,plain,
    product(c,product(c,bigC(b,a,b))) = product(bigC(b,a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(bigC(b,a,product(a,b)),c)) )],[refute_0_3158,refute_0_3255]) ).

cnf(refute_0_3257,plain,
    ( product(c,product(c,bigC(b,a,b))) != product(bigC(b,a,product(a,b)),c)
    | product(bigC(b,a,product(a,b)),c) = product(c,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,bigC(b,a,b))))),bind(Y,$fot(product(bigC(b,a,product(a,b)),c)))]]) ).

cnf(refute_0_3258,plain,
    product(bigC(b,a,product(a,b)),c) = product(c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,a,b))),product(bigC(b,a,product(a,b)),c)) )],[refute_0_3256,refute_0_3257]) ).

cnf(refute_0_3259,plain,
    product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))))]]) ).

cnf(refute_0_3260,plain,
    ( product(bigC(b,a,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) != product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))) ),[1,0],$fot(product(c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3261,plain,
    ( product(bigC(b,a,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3259,refute_0_3260]) ).

cnf(refute_0_3262,plain,
    product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_3258,refute_0_3261]) ).

cnf(refute_0_3263,plain,
    ( product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) != product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c)))
    | product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))) != bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))))),bind(Y,$fot(product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))))),bind(Z,$fot(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_3264,plain,
    ( product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))) != bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c)))) )],[refute_0_3262,refute_0_3263]) ).

cnf(refute_0_3265,plain,
    product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(b,a,b))),bigC(c,c,bigC(c,a,c))),bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))) )],[refute_0_3154,refute_0_3264]) ).

cnf(refute_0_3266,plain,
    ( product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) != bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))
    | product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) != c
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),c) ),[0],$fot(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_3267,plain,
    ( product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))) != c
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))) )],[refute_0_3265,refute_0_3266]) ).

cnf(refute_0_3268,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(a,b)),c),bigC(c,c,bigC(c,a,c))),c) )],[refute_0_3153,refute_0_3267]) ).

cnf(refute_0_3269,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))) = bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(c,bigC(a,a,b)))),bind(C,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3270,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_3271,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) != bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))
    | product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))) ),[1,2],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_3272,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c)))) )],[refute_0_3270,refute_0_3271]) ).

cnf(refute_0_3273,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_1950,refute_0_3272]) ).

cnf(refute_0_3274,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))) != bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) != bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b)))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))))),bind(Y,$fot(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))))),bind(Z,$fot(bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_3275,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))) != bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b)))) )],[refute_0_3273,refute_0_3274]) ).

cnf(refute_0_3276,plain,
    bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) = bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))) )],[refute_0_3269,refute_0_3275]) ).

cnf(refute_0_3277,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) != bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))
    | bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) != c
    | bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),c) ),[0],$fot(bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3278,plain,
    ( bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))) != c
    | bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))) )],[refute_0_3276,refute_0_3277]) ).

cnf(refute_0_3279,plain,
    bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) = c,
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(b,a,b)),product(c,bigC(c,a,c))),c) )],[refute_0_3268,refute_0_3278]) ).

cnf(refute_0_3280,plain,
    ( bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))) != c
    | difference(product(c,product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))) != product(product(c,bigC(b,a,b)),c)
    | difference(product(c,product(c,bigC(a,a,b))),c) = product(product(c,bigC(b,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))),product(product(c,bigC(b,a,b)),c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_3281,plain,
    ( difference(product(c,product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))) != product(product(c,bigC(b,a,b)),c)
    | difference(product(c,product(c,bigC(a,a,b))),c) = product(product(c,bigC(b,a,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b))),c) )],[refute_0_3279,refute_0_3280]) ).

cnf(refute_0_3282,plain,
    difference(product(c,product(c,bigC(a,a,b))),c) = product(product(c,bigC(b,a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(a,a,b))),bigC(c,product(c,bigC(a,a,b)),product(c,bigC(b,a,b)))),product(product(c,bigC(b,a,b)),c)) )],[refute_0_3100,refute_0_3281]) ).

cnf(refute_0_3283,plain,
    bigC(c,bigC(b,a,b),c) = bigC(c,c,bigC(b,a,b)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3284,plain,
    product(product(c,bigC(b,a,b)),c) = bigC(c,bigC(b,a,b),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3285,plain,
    ( bigC(c,bigC(b,a,b),c) != bigC(c,c,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),c) != bigC(c,bigC(b,a,b),c)
    | product(product(c,bigC(b,a,b)),c) = bigC(c,c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,a,b)),c))),bind(Y,$fot(bigC(c,bigC(b,a,b),c))),bind(Z,$fot(bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_3286,plain,
    ( bigC(c,bigC(b,a,b),c) != bigC(c,c,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),c) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),c),bigC(c,bigC(b,a,b),c)) )],[refute_0_3284,refute_0_3285]) ).

cnf(refute_0_3287,plain,
    product(product(c,bigC(b,a,b)),c) = bigC(c,c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),c),bigC(c,c,bigC(b,a,b))) )],[refute_0_3283,refute_0_3286]) ).

cnf(refute_0_3288,plain,
    ( difference(product(c,product(c,bigC(a,a,b))),c) != product(product(c,bigC(b,a,b)),c)
    | product(product(c,bigC(b,a,b)),c) != bigC(c,c,bigC(b,a,b))
    | difference(product(c,product(c,bigC(a,a,b))),c) = bigC(c,c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,bigC(a,a,b))),c),bigC(c,c,bigC(b,a,b))) ),[0],$fot(product(product(c,bigC(b,a,b)),c))]]) ).

cnf(refute_0_3289,plain,
    ( difference(product(c,product(c,bigC(a,a,b))),c) != product(product(c,bigC(b,a,b)),c)
    | difference(product(c,product(c,bigC(a,a,b))),c) = bigC(c,c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),c),bigC(c,c,bigC(b,a,b))) )],[refute_0_3287,refute_0_3288]) ).

cnf(refute_0_3290,plain,
    difference(product(c,product(c,bigC(a,a,b))),c) = bigC(c,c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(a,a,b))),c),product(product(c,bigC(b,a,b)),c)) )],[refute_0_3282,refute_0_3289]) ).

cnf(refute_0_3291,plain,
    ( difference(product(c,product(c,bigC(a,a,b))),c) != bigC(c,c,bigC(b,a,b))
    | quotient(c,difference(product(c,product(c,bigC(a,a,b))),c)) != product(c,product(c,bigC(a,a,b)))
    | quotient(c,bigC(c,c,bigC(b,a,b))) = product(c,product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(c,product(c,bigC(a,a,b))),c)),product(c,product(c,bigC(a,a,b)))) ),[0,1],$fot(bigC(c,c,bigC(b,a,b)))]]) ).

cnf(refute_0_3292,plain,
    ( quotient(c,difference(product(c,product(c,bigC(a,a,b))),c)) != product(c,product(c,bigC(a,a,b)))
    | quotient(c,bigC(c,c,bigC(b,a,b))) = product(c,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(a,a,b))),c),bigC(c,c,bigC(b,a,b))) )],[refute_0_3290,refute_0_3291]) ).

cnf(refute_0_3293,plain,
    quotient(c,bigC(c,c,bigC(b,a,b))) = product(c,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(c,product(c,bigC(a,a,b))),c)),product(c,product(c,bigC(a,a,b)))) )],[refute_0_3099,refute_0_3292]) ).

cnf(refute_0_3294,plain,
    ( quotient(c,bigC(c,c,bigC(b,a,b))) != product(c,product(c,bigC(a,a,b)))
    | quotient(c,bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),c)
    | product(c,product(c,bigC(a,a,b))) = product(product(product(b,product(a,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),c)) ),[0],$fot(product(c,product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_3295,plain,
    ( quotient(c,bigC(c,c,bigC(b,a,b))) != product(product(product(b,product(a,c)),c),c)
    | product(c,product(c,bigC(a,a,b))) = product(product(product(b,product(a,c)),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,a,b))),product(c,product(c,bigC(a,a,b)))) )],[refute_0_3293,refute_0_3294]) ).

cnf(refute_0_3296,plain,
    product(c,product(c,bigC(a,a,b))) = product(product(product(b,product(a,c)),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,a,b))),product(product(product(b,product(a,c)),c),c)) )],[refute_0_3098,refute_0_3295]) ).

cnf(refute_0_3297,plain,
    ( product(c,product(c,bigC(a,a,b))) != product(product(product(b,product(a,c)),c),c)
    | product(product(product(b,product(a,c)),c),c) = product(c,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,bigC(a,a,b))))),bind(Y,$fot(product(product(product(b,product(a,c)),c),c)))]]) ).

cnf(refute_0_3298,plain,
    product(product(product(b,product(a,c)),c),c) = product(c,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,a,b))),product(product(product(b,product(a,c)),c),c)) )],[refute_0_3296,refute_0_3297]) ).

cnf(refute_0_3299,plain,
    ( product(product(product(b,product(a,c)),c),c) != product(c,product(c,bigC(a,a,b)))
    | quotient(product(product(product(b,product(a,c)),c),c),c) != product(product(b,product(a,c)),c)
    | quotient(product(c,product(c,bigC(a,a,b))),c) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(b,product(a,c)),c),c),c),product(product(b,product(a,c)),c)) ),[0,0],$fot(product(c,product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_3300,plain,
    ( quotient(product(product(product(b,product(a,c)),c),c),c) != product(product(b,product(a,c)),c)
    | quotient(product(c,product(c,bigC(a,a,b))),c) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),c),product(c,product(c,bigC(a,a,b)))) )],[refute_0_3298,refute_0_3299]) ).

cnf(refute_0_3301,plain,
    quotient(product(c,product(c,bigC(a,a,b))),c) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(b,product(a,c)),c),c),c),product(product(b,product(a,c)),c)) )],[refute_0_2851,refute_0_3300]) ).

cnf(refute_0_3302,plain,
    difference(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(bigC(a,a,b),bigC(c,a,b)))),bind(B,$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))))]]) ).

cnf(refute_0_3303,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),
    inference(subst,[],[refute_0_42:[bind(A,$fot(bigC(a,a,b))),bind(X_18,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_3304,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)))),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) ),[0,1,2],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3305,plain,
    ( product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_2891,refute_0_3304]) ).

cnf(refute_0_3306,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_3303,refute_0_3305]) ).

cnf(refute_0_3307,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_123:[bind(A,$fot(product(b,a))),bind(B,$fot(c)),bind(C,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_3308,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_1077:[bind(C,$fot(c)),bind(X_23,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3309,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_32:[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_3310,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_3308,refute_0_3309]) ).

cnf(refute_0_3311,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_3307,refute_0_3310]) ).

cnf(refute_0_3312,plain,
    product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_3313,plain,
    ( product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | 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(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) ),[1,1],$fot(bigC(product(b,a),c,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_3314,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(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_3312,refute_0_3313]) ).

cnf(refute_0_3315,plain,
    product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,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),c,product(bigC(c,a,b),a))) )],[refute_0_3311,refute_0_3314]) ).

cnf(refute_0_3316,plain,
    product(bigC(c,a,b),bigC(c,a,b)) = bigC(c,a,b),
    inference(subst,[],[refute_0_22:[bind(A,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_3317,plain,
    product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_3318,plain,
    ( product(bigC(c,a,b),bigC(c,a,b)) != bigC(c,a,b)
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3319,plain,
    ( product(bigC(c,a,b),bigC(c,a,b)) != bigC(c,a,b)
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_3317,refute_0_3318]) ).

cnf(refute_0_3320,plain,
    product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(c,a,b)),bigC(c,a,b)) )],[refute_0_3316,refute_0_3319]) ).

cnf(refute_0_3321,plain,
    ( product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))),bind(Y,$fot(product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))),bind(Z,$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))))]]) ).

cnf(refute_0_3322,plain,
    ( product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_3320,refute_0_3321]) ).

cnf(refute_0_3323,plain,
    product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3315,refute_0_3322]) ).

cnf(refute_0_3324,plain,
    product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))))]]) ).

cnf(refute_0_3325,plain,
    ( product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))
    | product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))) ),[1,1],$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_3326,plain,
    ( product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))) )],[refute_0_3324,refute_0_3325]) ).

cnf(refute_0_3327,plain,
    product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3323,refute_0_3326]) ).

cnf(refute_0_3328,plain,
    product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) = product(product(A,C),product(product(X_23,X_24),product(X_25,X_26))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(X_23,X_24))),bind(D,$fot(product(X_25,X_26)))]]) ).

cnf(refute_0_3329,plain,
    ( product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) != product(product(A,C),product(product(X_23,X_24),product(X_25,X_26)))
    | product(product(X_23,X_24),product(X_25,X_26)) != product(product(X_23,X_25),product(X_24,X_26))
    | product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) = product(product(A,C),product(product(X_23,X_25),product(X_24,X_26))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))),product(product(A,C),product(product(X_23,X_24),product(X_25,X_26)))) ),[1,1],$fot(product(product(X_23,X_25),product(X_24,X_26)))]]) ).

cnf(refute_0_3330,plain,
    ( product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) != product(product(A,C),product(product(X_23,X_24),product(X_25,X_26)))
    | product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) = product(product(A,C),product(product(X_23,X_25),product(X_24,X_26))) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,X_26)),product(product(X_23,X_25),product(X_24,X_26))) )],[refute_0_134,refute_0_3329]) ).

cnf(refute_0_3331,plain,
    product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) = product(product(A,C),product(product(X_23,X_25),product(X_24,X_26))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))),product(product(A,C),product(product(X_23,X_24),product(X_25,X_26)))) )],[refute_0_3328,refute_0_3330]) ).

cnf(refute_0_3332,plain,
    product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),
    inference(subst,[],[refute_0_3331:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(bigC(c,a,b))),bind(X_23,$fot(bigC(c,a,b))),bind(X_24,$fot(product(product(b,bigC(c,a,b)),c))),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_3333,plain,
    ( product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))))),bind(Y,$fot(product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))))),bind(Z,$fot(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))))]]) ).

cnf(refute_0_3334,plain,
    ( product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))),product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))) )],[refute_0_3332,refute_0_3333]) ).

cnf(refute_0_3335,plain,
    product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(c,a,b),bigC(c,a,b)),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) )],[refute_0_3327,refute_0_3334]) ).

cnf(refute_0_3336,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(C,bigC(a,a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_3337,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(C,bigC(a,a,b)))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = product(bigC(c,a,b),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(C,bigC(a,a,b)))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3338,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = product(bigC(c,a,b),product(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_2891,refute_0_3337]) ).

cnf(refute_0_3339,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = product(bigC(c,a,b),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(C,bigC(a,a,b)))) )],[refute_0_3336,refute_0_3338]) ).

cnf(refute_0_3340,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)) = product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))),
    inference(subst,[],[refute_0_3339:[bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_3341,plain,
    product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))))]]) ).

cnf(refute_0_3342,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)) != product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))) ),[1,1],$fot(product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_3343,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)) != product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))
    | product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))) )],[refute_0_3341,refute_0_3342]) ).

cnf(refute_0_3344,plain,
    product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) )],[refute_0_3340,refute_0_3343]) ).

cnf(refute_0_3345,plain,
    product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_3346,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) = product(bigC(c,a,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(B,D))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3347,plain,
    ( product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) = product(bigC(c,a,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_2891,refute_0_3346]) ).

cnf(refute_0_3348,plain,
    product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)) = product(bigC(c,a,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(product(b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(B,D))) )],[refute_0_3345,refute_0_3347]) ).

cnf(refute_0_3349,plain,
    product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)) = product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),
    inference(subst,[],[refute_0_3348:[bind(B,$fot(product(b,bigC(c,a,b)))),bind(D,$fot(c))]]) ).

cnf(refute_0_3350,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) = product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))))]]) ).

cnf(refute_0_3351,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) != product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)))
    | product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)) != product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) = product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))),product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)))) ),[1,1],$fot(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_3352,plain,
    ( product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)) != product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) = product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))),product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)))) )],[refute_0_3350,refute_0_3351]) ).

cnf(refute_0_3353,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) = product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_3349,refute_0_3352]) ).

cnf(refute_0_3354,plain,
    product(bigC(a,a,b),product(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(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(b,bigC(c,a,b)),c))),bind(C,$fot(product(b,bigC(c,a,b)))),bind(D,$fot(c)),bind(X_47,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_3355,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) != product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))
    | product(bigC(a,a,b),product(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(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)))
    | product(bigC(a,a,b),product(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))))),bind(Y,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))))]]) ).

cnf(refute_0_3356,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))) != product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))
    | product(bigC(a,a,b),product(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(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(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c)))) )],[refute_0_3354,refute_0_3355]) ).

cnf(refute_0_3357,plain,
    product(bigC(a,a,b),product(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),product(b,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),c),c))),product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))) )],[refute_0_3353,refute_0_3356]) ).

cnf(refute_0_3358,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))))]]) ).

cnf(refute_0_3359,plain,
    ( product(bigC(a,a,b),product(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))) ),[1,0],$fot(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))))]]) ).

cnf(refute_0_3360,plain,
    ( product(bigC(a,a,b),product(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))) )],[refute_0_3358,refute_0_3359]) ).

cnf(refute_0_3361,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(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(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(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))) )],[refute_0_3357,refute_0_3360]) ).

cnf(refute_0_3362,plain,
    ( product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))))),bind(Y,$fot(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))))),bind(Z,$fot(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))))]]) ).

cnf(refute_0_3363,plain,
    ( product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b)))) )],[refute_0_3361,refute_0_3362]) ).

cnf(refute_0_3364,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))) )],[refute_0_3344,refute_0_3363]) ).

cnf(refute_0_3365,plain,
    ( product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))))),bind(Y,$fot(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))))),bind(Z,$fot(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))))]]) ).

cnf(refute_0_3366,plain,
    ( product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))
    | product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b))))) )],[refute_0_3364,refute_0_3365]) ).

cnf(refute_0_3367,plain,
    product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) = product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))),product(bigC(c,a,b),product(bigC(c,a,b),bigC(a,a,b)))),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) )],[refute_0_3335,refute_0_3366]) ).

cnf(refute_0_3368,plain,
    ( product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))) != product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) ),[0],$fot(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))))]]) ).

cnf(refute_0_3369,plain,
    ( product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(c,a,b))),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) )],[refute_0_3367,refute_0_3368]) ).

cnf(refute_0_3370,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) != product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) ),[1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3371,plain,
    ( product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) != product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = bigC(c,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_2891,refute_0_3370]) ).

cnf(refute_0_3372,plain,
    ( product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_3369,refute_0_3371]) ).

cnf(refute_0_3373,plain,
    product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))),bigC(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))) )],[refute_0_3306,refute_0_3372]) ).

cnf(refute_0_3374,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) != bigC(c,a,b)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3375,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))),bigC(c,a,b)) )],[refute_0_3373,refute_0_3374]) ).

cnf(refute_0_3376,plain,
    difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),product(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3302,refute_0_3375]) ).

cnf(refute_0_3377,plain,
    difference(product(bigC(a,a,b),c),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),c),bigC(c,a,b)))]]) ).

cnf(refute_0_3378,plain,
    ( bigC(c,a,b) != c
    | difference(product(bigC(a,a,b),c),bigC(c,a,b)) != difference(product(bigC(a,a,b),c),bigC(c,a,b))
    | difference(product(bigC(a,a,b),c),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),c),bigC(c,a,b)),difference(product(bigC(a,a,b),c),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3379,plain,
    ( bigC(c,a,b) != c
    | difference(product(bigC(a,a,b),c),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),bigC(c,a,b)),difference(product(bigC(a,a,b),c),bigC(c,a,b))) )],[refute_0_3377,refute_0_3378]) ).

cnf(refute_0_3380,plain,
    difference(product(bigC(a,a,b),c),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3379]) ).

cnf(refute_0_3381,plain,
    product(bigC(a,a,b),bigC(c,a,b)) = product(bigC(a,a,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(c,a,b)))]]) ).

cnf(refute_0_3382,plain,
    ( bigC(c,a,b) != c
    | product(bigC(a,a,b),bigC(c,a,b)) != product(bigC(a,a,b),bigC(c,a,b))
    | product(bigC(a,a,b),bigC(c,a,b)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(a,a,b),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3383,plain,
    ( bigC(c,a,b) != c
    | product(bigC(a,a,b),bigC(c,a,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(a,a,b),bigC(c,a,b))) )],[refute_0_3381,refute_0_3382]) ).

cnf(refute_0_3384,plain,
    product(bigC(a,a,b),bigC(c,a,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3383]) ).

cnf(refute_0_3385,plain,
    difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_3386,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b))
    | product(bigC(a,a,b),bigC(c,a,b)) != product(bigC(a,a,b),c)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_3387,plain,
    ( product(bigC(a,a,b),bigC(c,a,b)) != product(bigC(a,a,b),c)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b))) )],[refute_0_3385,refute_0_3386]) ).

cnf(refute_0_3388,plain,
    difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,a,b)),product(bigC(a,a,b),c)) )],[refute_0_3384,refute_0_3387]) ).

cnf(refute_0_3389,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != difference(product(bigC(a,a,b),c),bigC(c,a,b))
    | difference(product(bigC(a,a,b),c),bigC(c,a,b)) != difference(product(bigC(a,a,b),c),c)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)))),bind(Y,$fot(difference(product(bigC(a,a,b),c),bigC(c,a,b)))),bind(Z,$fot(difference(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_3390,plain,
    ( difference(product(bigC(a,a,b),c),bigC(c,a,b)) != difference(product(bigC(a,a,b),c),c)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),difference(product(bigC(a,a,b),c),bigC(c,a,b))) )],[refute_0_3388,refute_0_3389]) ).

cnf(refute_0_3391,plain,
    difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) = difference(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),bigC(c,a,b)),difference(product(bigC(a,a,b),c),c)) )],[refute_0_3380,refute_0_3390]) ).

cnf(refute_0_3392,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != difference(product(bigC(a,a,b),c),c)
    | difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(a,a,b),c),c) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[0],$fot(difference(product(bigC(a,a,b),c),c))]]) ).

cnf(refute_0_3393,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(a,a,b),c),c) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),difference(product(bigC(a,a,b),c),c)) )],[refute_0_3391,refute_0_3392]) ).

cnf(refute_0_3394,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_3395,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_3396,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_3394,refute_0_3395]) ).

cnf(refute_0_3397,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_878,refute_0_3396]) ).

cnf(refute_0_3398,plain,
    product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_3399,plain,
    ( bigC(product(b,a),c,product(bigC(c,a,b),a)) != bigC(product(b,a),c,product(c,a))
    | product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(c,bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))),product(c,bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[1,1],$fot(bigC(product(b,a),c,product(c,a)))]]) ).

cnf(refute_0_3400,plain,
    ( bigC(product(b,a),c,product(bigC(c,a,b),a)) != bigC(product(b,a),c,product(c,a))
    | product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))),product(c,bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3398,refute_0_3399]) ).

cnf(refute_0_3401,plain,
    product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(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_3397,refute_0_3400]) ).

cnf(refute_0_3402,plain,
    product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_3403,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3404,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3402,refute_0_3403]) ).

cnf(refute_0_3405,plain,
    product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3404]) ).

cnf(refute_0_3406,plain,
    ( product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(c,bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(c,bigC(product(b,a),c,product(c,a)))
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))),bind(Y,$fot(product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))))),bind(Z,$fot(product(c,bigC(product(b,a),c,product(c,a)))))]]) ).

cnf(refute_0_3407,plain,
    ( product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(c,bigC(product(b,a),c,product(c,a)))
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(c,bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3405,refute_0_3406]) ).

cnf(refute_0_3408,plain,
    product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(c,bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),c,product(bigC(c,a,b),a))),product(c,bigC(product(b,a),c,product(c,a)))) )],[refute_0_3401,refute_0_3407]) ).

cnf(refute_0_3409,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(c,bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(a,a,b),c),c) = product(c,bigC(product(b,a),c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,a,b),c),c),product(c,bigC(product(b,a),c,product(c,a)))) ),[0],$fot(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_3410,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(a,a,b),c),c) = product(c,bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(c,bigC(product(b,a),c,product(c,a)))) )],[refute_0_3408,refute_0_3409]) ).

cnf(refute_0_3411,plain,
    ( difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(a,a,b),c),c) = product(c,bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),c),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3393,refute_0_3410]) ).

cnf(refute_0_3412,plain,
    difference(product(bigC(a,a,b),c),c) = product(c,bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,a,b),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_3376,refute_0_3411]) ).

cnf(refute_0_3413,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,[],[refute_0_11:[bind(A,$fot(b)),bind(B,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_3414,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_3415,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_922,refute_0_3414]) ).

cnf(refute_0_3416,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_3413,refute_0_3415]) ).

cnf(refute_0_3417,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_3418,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_3419,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_3417,refute_0_3418]) ).

cnf(refute_0_3420,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_2262,refute_0_3419]) ).

cnf(refute_0_3421,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(c,product(product(c,a),product(a,b))) != product(c,product(a,c))
    | product(c,product(product(c,a),product(a,b))) = bigC(c,a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,a),product(a,b))))),bind(Y,$fot(product(c,product(a,c)))),bind(Z,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_3422,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(c,product(product(c,a),product(a,b))) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(a,b))),product(c,product(a,c))) )],[refute_0_3420,refute_0_3421]) ).

cnf(refute_0_3423,plain,
    product(c,product(product(c,a),product(a,b))) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,a,c)) )],[refute_0_951,refute_0_3422]) ).

cnf(refute_0_3424,plain,
    product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) = product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))))]]) ).

cnf(refute_0_3425,plain,
    ( product(c,product(product(c,a),product(a,b))) != bigC(c,a,c)
    | product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) != product(product(product(b,c),c),product(c,product(product(c,a),product(a,b))))
    | product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))),product(product(product(b,c),c),product(c,product(product(c,a),product(a,b))))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_3426,plain,
    ( product(c,product(product(c,a),product(a,b))) != bigC(c,a,c)
    | product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))),product(product(product(b,c),c),product(c,product(product(c,a),product(a,b))))) )],[refute_0_3424,refute_0_3425]) ).

cnf(refute_0_3427,plain,
    product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(a,b))),bigC(c,a,c)) )],[refute_0_3423,refute_0_3426]) ).

cnf(refute_0_3428,plain,
    product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) = product(product(A,C),product(product(X_65,X_66),product(X_65,X_67))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(X_65,X_66))),bind(D,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_3429,plain,
    ( product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) != product(product(A,C),product(product(X_65,X_66),product(X_65,X_67)))
    | product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) = product(product(A,C),product(X_65,product(X_66,X_67))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))),product(product(A,C),product(product(X_65,X_66),product(X_65,X_67)))) ),[1,1],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_3430,plain,
    ( product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) != product(product(A,C),product(product(X_65,X_66),product(X_65,X_67)))
    | product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) = product(product(A,C),product(X_65,product(X_66,X_67))) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_3429]) ).

cnf(refute_0_3431,plain,
    product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))) = product(product(A,C),product(X_65,product(X_66,X_67))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_65,X_66)),product(C,product(X_65,X_67))),product(product(A,C),product(product(X_65,X_66),product(X_65,X_67)))) )],[refute_0_3428,refute_0_3430]) ).

cnf(refute_0_3432,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(c,product(product(c,a),product(a,b)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(product(b,c))),bind(C,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a))),bind(X_67,$fot(product(a,b)))]]) ).

cnf(refute_0_3433,plain,
    ( product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) != product(product(product(b,c),c),bigC(c,a,c))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != product(product(product(b,c),c),product(c,product(product(c,a),product(a,b))))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[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(c,product(product(c,a),product(a,b)))))),bind(Z,$fot(product(product(product(b,c),c),bigC(c,a,c))))]]) ).

cnf(refute_0_3434,plain,
    ( product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))) != product(product(product(b,c),c),bigC(c,a,c))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)) ),
    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(c,product(product(c,a),product(a,b))))) )],[refute_0_3432,refute_0_3433]) ).

cnf(refute_0_3435,plain,
    product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = product(product(product(b,c),c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(product(c,a),product(a,b)))),product(product(product(b,c),c),bigC(c,a,c))) )],[refute_0_3427,refute_0_3434]) ).

cnf(refute_0_3436,plain,
    bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_19) = product(product(c,product(c,b)),product(X_19,product(c,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(product(c,product(c,b)))),bind(X_17,$fot(product(c,b)))]]) ).

cnf(refute_0_3437,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_3438,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_3439,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_3437,refute_0_3438]) ).

cnf(refute_0_3440,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_760,refute_0_3439]) ).

cnf(refute_0_3441,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_3442,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_3440,refute_0_3441]) ).

cnf(refute_0_3443,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_1346,refute_0_3442]) ).

cnf(refute_0_3444,plain,
    ( bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_19) != product(product(c,product(c,b)),product(X_19,product(c,b)))
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(product(c,b),product(a,b),X_19) = product(product(c,product(c,b)),product(X_19,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_19),product(product(c,product(c,b)),product(X_19,product(c,b)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_3445,plain,
    ( bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_19) != product(product(c,product(c,b)),product(X_19,product(c,b)))
    | bigC(product(c,b),product(a,b),X_19) = product(product(c,product(c,b)),product(X_19,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_3443,refute_0_3444]) ).

cnf(refute_0_3446,plain,
    bigC(product(c,b),product(a,b),X_19) = product(product(c,product(c,b)),product(X_19,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_19),product(product(c,product(c,b)),product(X_19,product(c,b)))) )],[refute_0_3436,refute_0_3445]) ).

cnf(refute_0_3447,plain,
    product(b,b) = b,
    inference(subst,[],[refute_0_22:[bind(A,$fot(b))]]) ).

cnf(refute_0_3448,plain,
    product(X_19,product(b,b)) = product(X_19,product(b,b)),
    introduced(tautology,[refl,[$fot(product(X_19,product(b,b)))]]) ).

cnf(refute_0_3449,plain,
    ( product(X_19,product(b,b)) != product(X_19,product(b,b))
    | product(b,b) != b
    | product(X_19,product(b,b)) = product(X_19,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_19,product(b,b)),product(X_19,product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_3450,plain,
    ( product(b,b) != b
    | product(X_19,product(b,b)) = product(X_19,b) ),
    inference(resolve,[$cnf( $equal(product(X_19,product(b,b)),product(X_19,product(b,b))) )],[refute_0_3448,refute_0_3449]) ).

cnf(refute_0_3451,plain,
    product(X_19,product(b,b)) = product(X_19,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_3450]) ).

cnf(refute_0_3452,plain,
    product(c,product(X_19,product(b,b))) = product(c,product(X_19,product(b,b))),
    introduced(tautology,[refl,[$fot(product(c,product(X_19,product(b,b))))]]) ).

cnf(refute_0_3453,plain,
    ( product(X_19,product(b,b)) != product(X_19,b)
    | product(c,product(X_19,product(b,b))) != product(c,product(X_19,product(b,b)))
    | product(c,product(X_19,product(b,b))) = product(c,product(X_19,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_19,product(b,b))),product(c,product(X_19,product(b,b)))) ),[1,1],$fot(product(X_19,b))]]) ).

cnf(refute_0_3454,plain,
    ( product(X_19,product(b,b)) != product(X_19,b)
    | product(c,product(X_19,product(b,b))) = product(c,product(X_19,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_19,product(b,b))),product(c,product(X_19,product(b,b)))) )],[refute_0_3452,refute_0_3453]) ).

cnf(refute_0_3455,plain,
    product(c,product(X_19,product(b,b))) = product(c,product(X_19,b)),
    inference(resolve,[$cnf( $equal(product(X_19,product(b,b)),product(X_19,b)) )],[refute_0_3451,refute_0_3454]) ).

cnf(refute_0_3456,plain,
    product(product(c,X_19),product(c,product(b,b))) = product(c,product(X_19,product(b,b))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(X_19)),bind(X_26,$fot(product(b,b)))]]) ).

cnf(refute_0_3457,plain,
    product(product(c,product(c,b)),product(X_19,product(c,b))) = product(product(c,X_19),product(c,product(b,b))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(C,$fot(X_19)),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_3458,plain,
    ( product(product(c,X_19),product(c,product(b,b))) != product(c,product(X_19,product(b,b)))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) != product(product(c,X_19),product(c,product(b,b)))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,product(b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(X_19,product(c,b))))),bind(Y,$fot(product(product(c,X_19),product(c,product(b,b))))),bind(Z,$fot(product(c,product(X_19,product(b,b)))))]]) ).

cnf(refute_0_3459,plain,
    ( product(product(c,X_19),product(c,product(b,b))) != product(c,product(X_19,product(b,b)))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,product(b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_19,product(c,b))),product(product(c,X_19),product(c,product(b,b)))) )],[refute_0_3457,refute_0_3458]) ).

cnf(refute_0_3460,plain,
    product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,product(b,b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_19),product(c,product(b,b))),product(c,product(X_19,product(b,b)))) )],[refute_0_3456,refute_0_3459]) ).

cnf(refute_0_3461,plain,
    ( product(c,product(X_19,product(b,b))) != product(c,product(X_19,b))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) != product(c,product(X_19,product(b,b)))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(X_19,product(c,b))))),bind(Y,$fot(product(c,product(X_19,product(b,b))))),bind(Z,$fot(product(c,product(X_19,b))))]]) ).

cnf(refute_0_3462,plain,
    ( product(c,product(X_19,product(b,b))) != product(c,product(X_19,b))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_19,product(c,b))),product(c,product(X_19,product(b,b)))) )],[refute_0_3460,refute_0_3461]) ).

cnf(refute_0_3463,plain,
    product(product(c,product(c,b)),product(X_19,product(c,b))) = product(c,product(X_19,b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_19,product(b,b))),product(c,product(X_19,b))) )],[refute_0_3455,refute_0_3462]) ).

cnf(refute_0_3464,plain,
    ( bigC(product(c,b),product(a,b),X_19) != product(product(c,product(c,b)),product(X_19,product(c,b)))
    | product(product(c,product(c,b)),product(X_19,product(c,b))) != product(c,product(X_19,b))
    | bigC(product(c,b),product(a,b),X_19) = product(c,product(X_19,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,b),X_19),product(c,product(X_19,b))) ),[0],$fot(product(product(c,product(c,b)),product(X_19,product(c,b))))]]) ).

cnf(refute_0_3465,plain,
    ( bigC(product(c,b),product(a,b),X_19) != product(product(c,product(c,b)),product(X_19,product(c,b)))
    | bigC(product(c,b),product(a,b),X_19) = product(c,product(X_19,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_19,product(c,b))),product(c,product(X_19,b))) )],[refute_0_3463,refute_0_3464]) ).

cnf(refute_0_3466,plain,
    bigC(product(c,b),product(a,b),X_19) = product(c,product(X_19,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),X_19),product(product(c,product(c,b)),product(X_19,product(c,b)))) )],[refute_0_3446,refute_0_3465]) ).

cnf(refute_0_3467,plain,
    bigC(product(c,b),product(a,b),a) = product(c,product(a,b)),
    inference(subst,[],[refute_0_3466:[bind(X_19,$fot(a))]]) ).

cnf(refute_0_3468,plain,
    product(product(product(c,a),a),bigC(b,b,c)) = bigC(product(c,b),product(a,b),a),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(a)),bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_3469,plain,
    ( bigC(product(c,b),product(a,b),a) != product(c,product(a,b))
    | product(product(product(c,a),a),bigC(b,b,c)) != bigC(product(c,b),product(a,b),a)
    | product(product(product(c,a),a),bigC(b,b,c)) = product(c,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),a),bigC(b,b,c)))),bind(Y,$fot(bigC(product(c,b),product(a,b),a))),bind(Z,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_3470,plain,
    ( bigC(product(c,b),product(a,b),a) != product(c,product(a,b))
    | product(product(product(c,a),a),bigC(b,b,c)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),bigC(b,b,c)),bigC(product(c,b),product(a,b),a)) )],[refute_0_3468,refute_0_3469]) ).

cnf(refute_0_3471,plain,
    product(product(product(c,a),a),bigC(b,b,c)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),a),product(c,product(a,b))) )],[refute_0_3467,refute_0_3470]) ).

cnf(refute_0_3472,plain,
    product(c,product(product(product(c,a),a),bigC(b,b,c))) = product(c,product(product(product(c,a),a),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(c,a),a),bigC(b,b,c))))]]) ).

cnf(refute_0_3473,plain,
    ( product(c,product(product(product(c,a),a),bigC(b,b,c))) != product(c,product(product(product(c,a),a),bigC(b,b,c)))
    | product(product(product(c,a),a),bigC(b,b,c)) != product(c,product(a,b))
    | product(c,product(product(product(c,a),a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(c,a),a),bigC(b,b,c))),product(c,product(product(product(c,a),a),bigC(b,b,c)))) ),[1,1],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_3474,plain,
    ( product(product(product(c,a),a),bigC(b,b,c)) != product(c,product(a,b))
    | product(c,product(product(product(c,a),a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,a),a),bigC(b,b,c))),product(c,product(product(product(c,a),a),bigC(b,b,c)))) )],[refute_0_3472,refute_0_3473]) ).

cnf(refute_0_3475,plain,
    product(c,product(product(product(c,a),a),bigC(b,b,c))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),bigC(b,b,c)),product(c,product(a,b))) )],[refute_0_3471,refute_0_3474]) ).

cnf(refute_0_3476,plain,
    product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c))) = product(c,product(product(product(c,a),a),bigC(b,b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(product(product(c,a),a))),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3477,plain,
    product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c))),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(c)),bind(D,$fot(bigC(b,b,c))),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a))),bind(X_67,$fot(a))]]) ).

cnf(refute_0_3478,plain,
    ( product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c))) != product(c,product(product(product(c,a),a),bigC(b,b,c)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) != product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(product(product(c,a),a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[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,product(product(c,a),a)),product(c,bigC(b,b,c))))),bind(Z,$fot(product(c,product(product(product(c,a),a),bigC(b,b,c)))))]]) ).

cnf(refute_0_3479,plain,
    ( product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c))) != product(c,product(product(product(c,a),a),bigC(b,b,c)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(product(product(c,a),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(c,product(product(c,a),a)),product(c,bigC(b,b,c)))) )],[refute_0_3477,refute_0_3478]) ).

cnf(refute_0_3480,plain,
    product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(product(product(c,a),a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),product(c,bigC(b,b,c))),product(c,product(product(product(c,a),a),bigC(b,b,c)))) )],[refute_0_3476,refute_0_3479]) ).

cnf(refute_0_3481,plain,
    ( product(c,product(product(product(c,a),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(product(product(c,a),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_32:[bind(X,$fot(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))),bind(Y,$fot(product(c,product(product(product(c,a),a),bigC(b,b,c))))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_3482,plain,
    ( product(c,product(product(product(c,a),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(c,product(product(product(c,a),a),bigC(b,b,c)))) )],[refute_0_3480,refute_0_3481]) ).

cnf(refute_0_3483,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(c,product(product(product(c,a),a),bigC(b,b,c))),product(c,product(c,product(a,b)))) )],[refute_0_3475,refute_0_3482]) ).

cnf(refute_0_3484,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_3485,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_3486,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_3484,refute_0_3485]) ).

cnf(refute_0_3487,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_3483,refute_0_3486]) ).

cnf(refute_0_3488,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != product(product(product(b,c),c),bigC(c,a,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(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)))) = product(product(product(b,c),c),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[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(product(product(product(b,c),c),bigC(c,a,c))))]]) ).

cnf(refute_0_3489,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != product(product(product(b,c),c),bigC(c,a,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),c),bigC(c,a,c)) ),
    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_3487,refute_0_3488]) ).

cnf(refute_0_3490,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),c),bigC(c,a,c)),
    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),bigC(c,a,c))) )],[refute_0_3435,refute_0_3489]) ).

cnf(refute_0_3491,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_434:[bind(A,$fot(product(c,product(c,a)))),bind(B,$fot(c)),bind(C,$fot(product(c,a))),bind(D,$fot(bigC(b,b,c))),bind(X_65,$fot(product(product(b,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_3492,plain,
    ( product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) != product(product(A,C),product(product(X_23,X_25),product(X_24,X_26)))
    | product(product(A,C),product(product(X_23,X_25),product(X_24,X_26))) = product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))))),bind(Y,$fot(product(product(A,C),product(product(X_23,X_25),product(X_24,X_26)))))]]) ).

cnf(refute_0_3493,plain,
    product(product(A,C),product(product(X_23,X_25),product(X_24,X_26))) = product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_23,X_24)),product(C,product(X_25,X_26))),product(product(A,C),product(product(X_23,X_25),product(X_24,X_26)))) )],[refute_0_3331,refute_0_3492]) ).

cnf(refute_0_3494,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_3493:[bind(A,$fot(product(b,c))),bind(C,$fot(product(product(c,product(c,a)),product(c,a)))),bind(X_23,$fot(c)),bind(X_24,$fot(product(c,a))),bind(X_25,$fot(c)),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3495,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_32:[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_3496,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_3494,refute_0_3495]) ).

cnf(refute_0_3497,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_3491,refute_0_3496]) ).

cnf(refute_0_3498,plain,
    product(product(product(b,product(c,product(c,a))),product(c,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,c),product(product(c,a),bigC(b,b,c)))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(b)),bind(B,$fot(product(c,product(c,a)))),bind(C,$fot(c)),bind(D,$fot(product(c,a))),bind(X_44,$fot(product(product(c,c),product(product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_3499,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,product(c,product(c,a))),product(c,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,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,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_32:[bind(X,$fot(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))))),bind(Y,$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_3500,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,product(c,product(c,a))),product(c,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,product(c,product(c,a))),product(c,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,c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_3498,refute_0_3499]) ).

cnf(refute_0_3501,plain,
    product(product(product(b,product(c,product(c,a))),product(c,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)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_3497,refute_0_3500]) ).

cnf(refute_0_3502,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,product(c,product(c,a))),product(c,product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,a))),bind(D,$fot(bigC(b,b,c))),bind(X_65,$fot(product(product(b,product(c,product(c,a))),product(c,product(c,a)))))]]) ).

cnf(refute_0_3503,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,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,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,product(c,product(c,a))),product(c,product(c,a))),product(product(c,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(subst,[],[refute_0_32:[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,product(c,product(c,a))),product(c,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_3504,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,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,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,product(c,product(c,a))),product(c,product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_3502,refute_0_3503]) ).

cnf(refute_0_3505,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,product(c,product(c,a))),product(c,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_3501,refute_0_3504]) ).

cnf(refute_0_3506,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),c),bigC(c,a,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))))
    | 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),c),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[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(product(product(product(b,c),c),bigC(c,a,c))))]]) ).

cnf(refute_0_3507,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),c),bigC(c,a,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),c),bigC(c,a,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(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_3505,refute_0_3506]) ).

cnf(refute_0_3508,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),c),bigC(c,a,c)),
    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),c),bigC(c,a,c))) )],[refute_0_3490,refute_0_3507]) ).

cnf(refute_0_3509,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))
    | 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),c),bigC(c,a,c))
    | product(product(product(b,c),c),bigC(c,a,c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(c,product(c,a))) ),[0],$fot(product(product(product(b,c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_3510,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))
    | product(product(product(b,c),c),bigC(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))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),c),bigC(c,a,c))) )],[refute_0_3508,refute_0_3509]) ).

cnf(refute_0_3511,plain,
    product(product(product(b,c),c),bigC(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))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(c,product(c,a))) )],[refute_0_3416,refute_0_3510]) ).

cnf(refute_0_3512,plain,
    bigC(product(b,a),product(c,a),c) = bigC(product(b,a),c,product(c,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(b,a))),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_3513,plain,
    product(product(product(b,c),c),bigC(a,a,b)) = bigC(product(b,a),product(c,a),c),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(c)),bind(X_23,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3514,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_32:[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_3515,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_3513,refute_0_3514]) ).

cnf(refute_0_3516,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_3512,refute_0_3515]) ).

cnf(refute_0_3517,plain,
    product(product(product(b,c),c),bigC(c,a,c)) = product(product(product(b,c),c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_3518,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(product(b,c),c),bigC(c,a,c)) != product(product(product(b,c),c),bigC(c,a,c))
    | product(product(product(b,c),c),bigC(c,a,c)) = product(product(product(b,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(c,a,c)),product(product(product(b,c),c),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_3519,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(product(b,c),c),bigC(c,a,c)) = product(product(product(b,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(c,a,c)),product(product(product(b,c),c),bigC(c,a,c))) )],[refute_0_3517,refute_0_3518]) ).

cnf(refute_0_3520,plain,
    product(product(product(b,c),c),bigC(c,a,c)) = product(product(product(b,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_3519]) ).

cnf(refute_0_3521,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),bigC(c,a,c)) != product(product(product(b,c),c),bigC(a,a,b))
    | product(product(product(b,c),c),bigC(c,a,c)) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),c),bigC(c,a,c)))),bind(Y,$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_3522,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),bigC(c,a,c)) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(c,a,c)),product(product(product(b,c),c),bigC(a,a,b))) )],[refute_0_3520,refute_0_3521]) ).

cnf(refute_0_3523,plain,
    product(product(product(b,c),c),bigC(c,a,c)) = 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_3516,refute_0_3522]) ).

cnf(refute_0_3524,plain,
    ( product(product(product(b,c),c),bigC(c,a,c)) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),bigC(c,a,c)) != product(c,product(c,a))
    | bigC(product(b,a),c,product(c,a)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(c,a,c)),product(c,product(c,a))) ),[0],$fot(bigC(product(b,a),c,product(c,a)))]]) ).

cnf(refute_0_3525,plain,
    ( product(product(product(b,c),c),bigC(c,a,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,c),c),bigC(c,a,c)),bigC(product(b,a),c,product(c,a))) )],[refute_0_3523,refute_0_3524]) ).

cnf(refute_0_3526,plain,
    bigC(product(b,a),c,product(c,a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(c,a,c)),product(c,product(c,a))) )],[refute_0_3511,refute_0_3525]) ).

cnf(refute_0_3527,plain,
    product(c,bigC(product(b,a),c,product(c,a))) = product(c,bigC(product(b,a),c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_3528,plain,
    ( bigC(product(b,a),c,product(c,a)) != product(c,product(c,a))
    | product(c,bigC(product(b,a),c,product(c,a))) != product(c,bigC(product(b,a),c,product(c,a)))
    | product(c,bigC(product(b,a),c,product(c,a))) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(product(b,a),c,product(c,a))),product(c,bigC(product(b,a),c,product(c,a)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_3529,plain,
    ( bigC(product(b,a),c,product(c,a)) != product(c,product(c,a))
    | product(c,bigC(product(b,a),c,product(c,a))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),c,product(c,a))),product(c,bigC(product(b,a),c,product(c,a)))) )],[refute_0_3527,refute_0_3528]) ).

cnf(refute_0_3530,plain,
    product(c,bigC(product(b,a),c,product(c,a))) = product(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_3526,refute_0_3529]) ).

cnf(refute_0_3531,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,bigC(product(b,a),c,product(c,a)))
    | product(c,bigC(product(b,a),c,product(c,a))) != 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(c,bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_3532,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(a,a,b),c),c) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),c,product(c,a))),product(c,product(c,product(c,a)))) )],[refute_0_3530,refute_0_3531]) ).

cnf(refute_0_3533,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(c,bigC(product(b,a),c,product(c,a)))) )],[refute_0_3412,refute_0_3532]) ).

cnf(refute_0_3534,plain,
    product(c,product(c,quotient(bigC(a,a,b),c))) = difference(product(bigC(a,a,b),c),c),
    inference(subst,[],[refute_0_296:[bind(A,$fot(bigC(a,a,b))),bind(X_30,$fot(c))]]) ).

cnf(refute_0_3535,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | product(c,product(c,quotient(bigC(a,a,b),c))) != difference(product(bigC(a,a,b),c),c)
    | product(c,product(c,quotient(bigC(a,a,b),c))) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(c,quotient(bigC(a,a,b),c))))),bind(Y,$fot(difference(product(bigC(a,a,b),c),c))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3536,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | product(c,product(c,quotient(bigC(a,a,b),c))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(bigC(a,a,b),c))),difference(product(bigC(a,a,b),c),c)) )],[refute_0_3534,refute_0_3535]) ).

cnf(refute_0_3537,plain,
    product(c,product(c,quotient(bigC(a,a,b),c))) = 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_3533,refute_0_3536]) ).

cnf(refute_0_3538,plain,
    quotient(product(c,bigC(a,a,b)),c) = product(c,quotient(bigC(a,a,b),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_3539,plain,
    product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,quotient(product(c,bigC(a,a,b)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,bigC(a,a,b)),c)))]]) ).

cnf(refute_0_3540,plain,
    ( product(c,quotient(product(c,bigC(a,a,b)),c)) != product(c,quotient(product(c,bigC(a,a,b)),c))
    | quotient(product(c,bigC(a,a,b)),c) != product(c,quotient(bigC(a,a,b),c))
    | product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,quotient(bigC(a,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,b)),c)),product(c,quotient(product(c,bigC(a,a,b)),c))) ),[1,1],$fot(product(c,quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_3541,plain,
    ( quotient(product(c,bigC(a,a,b)),c) != product(c,quotient(bigC(a,a,b),c))
    | product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,quotient(bigC(a,a,b),c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,b)),c)),product(c,quotient(product(c,bigC(a,a,b)),c))) )],[refute_0_3539,refute_0_3540]) ).

cnf(refute_0_3542,plain,
    product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,quotient(bigC(a,a,b),c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,b)),c),product(c,quotient(bigC(a,a,b),c))) )],[refute_0_3538,refute_0_3541]) ).

cnf(refute_0_3543,plain,
    ( product(c,product(c,quotient(bigC(a,a,b),c))) != product(c,product(c,product(c,a)))
    | product(c,quotient(product(c,bigC(a,a,b)),c)) != product(c,product(c,quotient(bigC(a,a,b),c)))
    | product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(product(c,bigC(a,a,b)),c)))),bind(Y,$fot(product(c,product(c,quotient(bigC(a,a,b),c))))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3544,plain,
    ( product(c,product(c,quotient(bigC(a,a,b),c))) != product(c,product(c,product(c,a)))
    | product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,b)),c)),product(c,product(c,quotient(bigC(a,a,b),c)))) )],[refute_0_3542,refute_0_3543]) ).

cnf(refute_0_3545,plain,
    product(c,quotient(product(c,bigC(a,a,b)),c)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(bigC(a,a,b),c))),product(c,product(c,product(c,a)))) )],[refute_0_3537,refute_0_3544]) ).

cnf(refute_0_3546,plain,
    quotient(product(c,product(c,bigC(a,a,b))),c) = product(c,quotient(product(c,bigC(a,a,b)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_3547,plain,
    ( product(c,quotient(product(c,bigC(a,a,b)),c)) != product(c,product(c,product(c,a)))
    | quotient(product(c,product(c,bigC(a,a,b))),c) != product(c,quotient(product(c,bigC(a,a,b)),c))
    | quotient(product(c,product(c,bigC(a,a,b))),c) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,bigC(a,a,b))),c))),bind(Y,$fot(product(c,quotient(product(c,bigC(a,a,b)),c)))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3548,plain,
    ( product(c,quotient(product(c,bigC(a,a,b)),c)) != product(c,product(c,product(c,a)))
    | quotient(product(c,product(c,bigC(a,a,b))),c) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,b))),c),product(c,quotient(product(c,bigC(a,a,b)),c))) )],[refute_0_3546,refute_0_3547]) ).

cnf(refute_0_3549,plain,
    quotient(product(c,product(c,bigC(a,a,b))),c) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,b)),c)),product(c,product(c,product(c,a)))) )],[refute_0_3545,refute_0_3548]) ).

cnf(refute_0_3550,plain,
    ( quotient(product(c,product(c,bigC(a,a,b))),c) != product(c,product(c,product(c,a)))
    | quotient(product(c,product(c,bigC(a,a,b))),c) != product(product(b,product(a,c)),c)
    | product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,b))),c),product(product(b,product(a,c)),c)) ),[0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_3551,plain,
    ( quotient(product(c,product(c,bigC(a,a,b))),c) != product(product(b,product(a,c)),c)
    | product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,b))),c),product(c,product(c,product(c,a)))) )],[refute_0_3549,refute_0_3550]) ).

cnf(refute_0_3552,plain,
    product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,b))),c),product(product(b,product(a,c)),c)) )],[refute_0_3301,refute_0_3551]) ).

cnf(refute_0_3553,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_16:[bind(X,$fot(product(c,product(c,product(c,a))))),bind(Y,$fot(product(product(b,product(a,c)),c)))]]) ).

cnf(refute_0_3554,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_3552,refute_0_3553]) ).

cnf(refute_0_3555,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))))]]) ).

cnf(refute_0_3556,plain,
    ( product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3557,plain,
    ( quotient(product(b,product(a,c)),product(b,a)) != c
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) )],[refute_0_3555,refute_0_3556]) ).

cnf(refute_0_3558,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_3557]) ).

cnf(refute_0_3559,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),c)
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))))),bind(Y,$fot(product(product(b,product(a,c)),c))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3560,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),c)) )],[refute_0_3558,refute_0_3559]) ).

cnf(refute_0_3561,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),product(c,product(c,product(c,a)))) )],[refute_0_3554,refute_0_3560]) ).

cnf(refute_0_3562,plain,
    ( bigC(c,c,product(b,a)) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))) != product(c,product(c,product(c,a)))
    | bigC(c,c,product(b,a)) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,product(b,a)),product(c,product(c,product(c,a)))) ),[0],$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))))]]) ).

cnf(refute_0_3563,plain,
    ( bigC(c,c,product(b,a)) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | bigC(c,c,product(b,a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a))),product(c,product(c,product(c,a)))) )],[refute_0_3561,refute_0_3562]) ).

cnf(refute_0_3564,plain,
    ( bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))
    | bigC(c,c,product(b,a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) )],[refute_0_2850,refute_0_3563]) ).

cnf(refute_0_3565,plain,
    bigC(c,c,product(b,a)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),quotient(product(b,product(a,c)),product(b,a))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,a)))) )],[refute_0_2808,refute_0_3564]) ).

cnf(refute_0_3566,plain,
    bigC(product(c,a),b,product(c,a)) = product(product(product(c,a),b),product(c,a)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,a))),bind(X_18,$fot(b))]]) ).

cnf(refute_0_3567,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_3568,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_760,refute_0_3567]) ).

cnf(refute_0_3569,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_3566,refute_0_3568]) ).

cnf(refute_0_3570,plain,
    bigC(product(c,a),b,product(c,a)) = product(bigC(c,a,c),product(b,a)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3571,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(bigC(c,a,c),product(b,a))
    | bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | product(bigC(c,a,c),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(product(bigC(c,a,c),product(b,a)))]]) ).

cnf(refute_0_3572,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | product(bigC(c,a,c),product(b,a)) = product(product(c,product(c,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(bigC(c,a,c),product(b,a))) )],[refute_0_3570,refute_0_3571]) ).

cnf(refute_0_3573,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_3574,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_3575,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_3573,refute_0_3574]) ).

cnf(refute_0_3576,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_219,refute_0_3575]) ).

cnf(refute_0_3577,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,[],[refute_0_27:[bind(A,$fot(bigC(c,a,b))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_3578,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_3579,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_215,refute_0_3578]) ).

cnf(refute_0_3580,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_3577,refute_0_3579]) ).

cnf(refute_0_3581,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_3582,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_3583,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_3581,refute_0_3582]) ).

cnf(refute_0_3584,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_760,refute_0_3583]) ).

cnf(refute_0_3585,plain,
    ( product(product(bigC(c,a,b),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(bigC(c,a,b),B),product(product(c,b),D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(product(c,a),b),product(B,D)))]]) ).

cnf(refute_0_3586,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(bigC(c,a,b),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_3584,refute_0_3585]) ).

cnf(refute_0_3587,plain,
    product(product(bigC(c,a,b),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_3580,refute_0_3586]) ).

cnf(refute_0_3588,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_3589,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_3590,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_3588,refute_0_3589]) ).

cnf(refute_0_3591,plain,
    product(bigC(c,a,b),B) = product(c,B),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3590]) ).

cnf(refute_0_3592,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_3593,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_3594,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_3592,refute_0_3593]) ).

cnf(refute_0_3595,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_3591,refute_0_3594]) ).

cnf(refute_0_3596,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(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( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(c,B),product(product(c,b),D)))]]) ).

cnf(refute_0_3597,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,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)) ),
    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_3595,refute_0_3596]) ).

cnf(refute_0_3598,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(c,product(c,b)),product(B,D))) )],[refute_0_3587,refute_0_3597]) ).

cnf(refute_0_3599,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_16:[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_3600,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_3598,refute_0_3599]) ).

cnf(refute_0_3601,plain,
    product(product(c,product(c,b)),product(c,a)) = product(product(c,c),product(product(c,b),a)),
    inference(subst,[],[refute_0_3600:[bind(B,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_3602,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_32:[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_3603,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_3601,refute_0_3602]) ).

cnf(refute_0_3604,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_3576,refute_0_3603]) ).

cnf(refute_0_3605,plain,
    ( product(bigC(c,a,c),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))
    | product(bigC(c,a,c),product(b,a)) = product(c,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,c),product(b,a)),product(c,product(product(c,b),a))) ),[0],$fot(product(product(c,product(c,b)),product(c,a)))]]) ).

cnf(refute_0_3606,plain,
    ( product(bigC(c,a,c),product(b,a)) != product(product(c,product(c,b)),product(c,a))
    | product(bigC(c,a,c),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_3604,refute_0_3605]) ).

cnf(refute_0_3607,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | product(bigC(c,a,c),product(b,a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),product(product(c,product(c,b)),product(c,a))) )],[refute_0_3572,refute_0_3606]) ).

cnf(refute_0_3608,plain,
    product(bigC(c,a,c),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_3569,refute_0_3607]) ).

cnf(refute_0_3609,plain,
    bigC(a,product(b,a),b) = bigC(a,b,product(b,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_3610,plain,
    product(bigC(a,a,b),product(b,a)) = bigC(a,product(b,a),b),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(a)),bind(C,$fot(b)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_3611,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_32:[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_3612,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_3610,refute_0_3611]) ).

cnf(refute_0_3613,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_3609,refute_0_3612]) ).

cnf(refute_0_3614,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_3615,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_3616,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_3614,refute_0_3615]) ).

cnf(refute_0_3617,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_1946,refute_0_3616]) ).

cnf(refute_0_3618,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_32:[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_3619,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_3617,refute_0_3618]) ).

cnf(refute_0_3620,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_3613,refute_0_3619]) ).

cnf(refute_0_3621,plain,
    ( product(bigC(c,a,c),product(b,a)) != bigC(a,b,product(b,a))
    | product(bigC(c,a,c),product(b,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( $equal(product(bigC(c,a,c),product(b,a)),product(c,product(product(c,b),a))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_3622,plain,
    ( product(bigC(c,a,c),product(b,a)) != product(c,product(product(c,b),a))
    | bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_3620,refute_0_3621]) ).

cnf(refute_0_3623,plain,
    bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),product(c,product(product(c,b),a))) )],[refute_0_3608,refute_0_3622]) ).

cnf(refute_0_3624,plain,
    ( bigC(c,c,product(b,a)) != product(c,product(c,product(c,a)))
    | product(c,product(c,product(c,a))) = bigC(c,c,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,c,product(b,a)))),bind(Y,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3625,plain,
    product(c,product(c,product(c,a))) = bigC(c,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),product(c,product(c,product(c,a)))) )],[refute_0_3565,refute_0_3624]) ).

cnf(refute_0_3626,plain,
    quotient(product(product(product(c,b),a),b),b) = product(product(c,b),a),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(b))]]) ).

cnf(refute_0_3627,plain,
    bigC(product(c,b),b,product(a,c)) = product(product(product(c,b),b),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_3628,plain,
    product(product(product(c,b),a),product(C,b)) = product(product(product(c,b),C),product(a,b)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_3629,plain,
    bigC(product(c,b),C,product(a,c)) = product(product(product(c,b),C),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(C))]]) ).

cnf(refute_0_3630,plain,
    ( bigC(product(c,b),C,product(a,c)) != product(product(product(c,b),C),product(a,b))
    | product(product(product(c,b),C),product(a,b)) = bigC(product(c,b),C,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),C,product(a,c)))),bind(Y,$fot(product(product(product(c,b),C),product(a,b))))]]) ).

cnf(refute_0_3631,plain,
    product(product(product(c,b),C),product(a,b)) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,product(a,c)),product(product(product(c,b),C),product(a,b))) )],[refute_0_3629,refute_0_3630]) ).

cnf(refute_0_3632,plain,
    ( product(product(product(c,b),C),product(a,b)) != bigC(product(c,b),C,product(a,c))
    | product(product(product(c,b),a),product(C,b)) != product(product(product(c,b),C),product(a,b))
    | product(product(product(c,b),a),product(C,b)) = bigC(product(c,b),C,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),product(C,b)),product(product(product(c,b),C),product(a,b))) ),[1],$fot(bigC(product(c,b),C,product(a,c)))]]) ).

cnf(refute_0_3633,plain,
    ( product(product(product(c,b),a),product(C,b)) != product(product(product(c,b),C),product(a,b))
    | product(product(product(c,b),a),product(C,b)) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),C),product(a,b)),bigC(product(c,b),C,product(a,c))) )],[refute_0_3631,refute_0_3632]) ).

cnf(refute_0_3634,plain,
    product(product(product(c,b),a),product(C,b)) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(C,b)),product(product(product(c,b),C),product(a,b))) )],[refute_0_3628,refute_0_3633]) ).

cnf(refute_0_3635,plain,
    product(product(product(c,b),a),product(b,b)) = bigC(product(c,b),b,product(a,c)),
    inference(subst,[],[refute_0_3634:[bind(C,$fot(b))]]) ).

cnf(refute_0_3636,plain,
    ( product(b,b) != b
    | product(product(product(c,b),a),product(b,b)) != bigC(product(c,b),b,product(a,c))
    | product(product(product(c,b),a),b) = bigC(product(c,b),b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),product(b,b)),bigC(product(c,b),b,product(a,c))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_3637,plain,
    ( product(product(product(c,b),a),product(b,b)) != bigC(product(c,b),b,product(a,c))
    | product(product(product(c,b),a),b) = bigC(product(c,b),b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_3636]) ).

cnf(refute_0_3638,plain,
    product(product(product(c,b),a),b) = bigC(product(c,b),b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(b,b)),bigC(product(c,b),b,product(a,c))) )],[refute_0_3635,refute_0_3637]) ).

cnf(refute_0_3639,plain,
    ( product(product(product(c,b),a),b) != bigC(product(c,b),b,product(a,c))
    | bigC(product(c,b),b,product(a,c)) = product(product(product(c,b),a),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(c,b),a),b))),bind(Y,$fot(bigC(product(c,b),b,product(a,c))))]]) ).

cnf(refute_0_3640,plain,
    bigC(product(c,b),b,product(a,c)) = product(product(product(c,b),a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),b),bigC(product(c,b),b,product(a,c))) )],[refute_0_3638,refute_0_3639]) ).

cnf(refute_0_3641,plain,
    ( bigC(product(c,b),b,product(a,c)) != product(product(product(c,b),a),b)
    | bigC(product(c,b),b,product(a,c)) != product(product(product(c,b),b),product(product(a,c),product(c,b)))
    | product(product(product(c,b),a),b) = product(product(product(c,b),b),product(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),b,product(a,c)),product(product(product(c,b),b),product(product(a,c),product(c,b)))) ),[0],$fot(product(product(product(c,b),a),b))]]) ).

cnf(refute_0_3642,plain,
    ( bigC(product(c,b),b,product(a,c)) != product(product(product(c,b),b),product(product(a,c),product(c,b)))
    | product(product(product(c,b),a),b) = product(product(product(c,b),b),product(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(a,c)),product(product(product(c,b),a),b)) )],[refute_0_3640,refute_0_3641]) ).

cnf(refute_0_3643,plain,
    product(product(product(c,b),a),b) = product(product(product(c,b),b),product(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(a,c)),product(product(product(c,b),b),product(product(a,c),product(c,b)))) )],[refute_0_3627,refute_0_3642]) ).

cnf(refute_0_3644,plain,
    product(product(product(c,a),product(b,c)),bigC(b,b,c)) = bigC(product(c,b),product(a,b),product(b,c)),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(product(b,c))),bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_3645,plain,
    product(product(product(c,b),product(a,c)),bigC(b,b,c)) = product(product(product(c,a),product(b,c)),bigC(b,b,c)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_44,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3646,plain,
    ( product(product(product(c,a),product(b,c)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),product(a,c)),bigC(b,b,c)) != product(product(product(c,a),product(b,c)),bigC(b,b,c))
    | product(product(product(c,b),product(a,c)),bigC(b,b,c)) = bigC(product(c,b),product(a,b),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(a,c)),bigC(b,b,c)))),bind(Y,$fot(product(product(product(c,a),product(b,c)),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),product(a,b),product(b,c))))]]) ).

cnf(refute_0_3647,plain,
    ( product(product(product(c,a),product(b,c)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),product(a,c)),bigC(b,b,c)) = bigC(product(c,b),product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),bigC(b,b,c)),product(product(product(c,a),product(b,c)),bigC(b,b,c))) )],[refute_0_3645,refute_0_3646]) ).

cnf(refute_0_3648,plain,
    product(product(product(c,b),product(a,c)),bigC(b,b,c)) = bigC(product(c,b),product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(b,c)),bigC(b,b,c)),bigC(product(c,b),product(a,b),product(b,c))) )],[refute_0_3644,refute_0_3647]) ).

cnf(refute_0_3649,plain,
    product(product(product(c,b),b),product(product(a,c),product(c,b))) = product(product(product(c,b),product(a,c)),bigC(b,b,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(c,b))),bind(B,$fot(b)),bind(C,$fot(product(a,c))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_3650,plain,
    ( product(product(product(c,b),b),product(product(a,c),product(c,b))) != product(product(product(c,b),product(a,c)),bigC(b,b,c))
    | product(product(product(c,b),product(a,c)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),b),product(product(a,c),product(c,b))) = bigC(product(c,b),product(a,b),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),b),product(product(a,c),product(c,b))))),bind(Y,$fot(product(product(product(c,b),product(a,c)),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),product(a,b),product(b,c))))]]) ).

cnf(refute_0_3651,plain,
    ( product(product(product(c,b),product(a,c)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),b),product(product(a,c),product(c,b))) = bigC(product(c,b),product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,c),product(c,b))),product(product(product(c,b),product(a,c)),bigC(b,b,c))) )],[refute_0_3649,refute_0_3650]) ).

cnf(refute_0_3652,plain,
    product(product(product(c,b),b),product(product(a,c),product(c,b))) = bigC(product(c,b),product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),bigC(b,b,c)),bigC(product(c,b),product(a,b),product(b,c))) )],[refute_0_3648,refute_0_3651]) ).

cnf(refute_0_3653,plain,
    ( product(product(product(c,b),a),b) != product(product(product(c,b),b),product(product(a,c),product(c,b)))
    | product(product(product(c,b),b),product(product(a,c),product(c,b))) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),a),b) = bigC(product(c,b),product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(c,b),a),b),bigC(product(c,b),product(a,b),product(b,c))) ),[0],$fot(product(product(product(c,b),b),product(product(a,c),product(c,b))))]]) ).

cnf(refute_0_3654,plain,
    ( product(product(product(c,b),a),b) != product(product(product(c,b),b),product(product(a,c),product(c,b)))
    | product(product(product(c,b),a),b) = bigC(product(c,b),product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,c),product(c,b))),bigC(product(c,b),product(a,b),product(b,c))) )],[refute_0_3652,refute_0_3653]) ).

cnf(refute_0_3655,plain,
    product(product(product(c,b),a),b) = bigC(product(c,b),product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),b),product(product(product(c,b),b),product(product(a,c),product(c,b)))) )],[refute_0_3643,refute_0_3654]) ).

cnf(refute_0_3656,plain,
    product(product(b,c),b) = bigC(b,c,b),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(b)),bind(X_18,$fot(c))]]) ).

cnf(refute_0_3657,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_32:[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_3658,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_3656,refute_0_3657]) ).

cnf(refute_0_3659,plain,
    product(product(b,c),b) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1082,refute_0_3658]) ).

cnf(refute_0_3660,plain,
    product(c,product(product(b,c),b)) = product(c,product(product(b,c),b)),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,c),b)))]]) ).

cnf(refute_0_3661,plain,
    ( product(c,product(product(b,c),b)) != product(c,product(product(b,c),b))
    | product(product(b,c),b) != bigC(b,b,c)
    | product(c,product(product(b,c),b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),b)),product(c,product(product(b,c),b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3662,plain,
    ( product(product(b,c),b) != bigC(b,b,c)
    | product(c,product(product(b,c),b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),b)),product(c,product(product(b,c),b))) )],[refute_0_3660,refute_0_3661]) ).

cnf(refute_0_3663,plain,
    product(c,product(product(b,c),b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),b),bigC(b,b,c)) )],[refute_0_3659,refute_0_3662]) ).

cnf(refute_0_3664,plain,
    bigC(product(c,b),product(a,b),product(b,c)) = product(c,product(product(b,c),b)),
    inference(subst,[],[refute_0_3466:[bind(X_19,$fot(product(b,c)))]]) ).

cnf(refute_0_3665,plain,
    ( bigC(product(c,b),product(a,b),product(b,c)) != product(c,product(product(b,c),b))
    | product(c,product(product(b,c),b)) != product(c,bigC(b,b,c))
    | bigC(product(c,b),product(a,b),product(b,c)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(a,b),product(b,c)))),bind(Y,$fot(product(c,product(product(b,c),b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_3666,plain,
    ( product(c,product(product(b,c),b)) != product(c,bigC(b,b,c))
    | bigC(product(c,b),product(a,b),product(b,c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(b,c)),product(c,product(product(b,c),b))) )],[refute_0_3664,refute_0_3665]) ).

cnf(refute_0_3667,plain,
    bigC(product(c,b),product(a,b),product(b,c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),b)),product(c,bigC(b,b,c))) )],[refute_0_3663,refute_0_3666]) ).

cnf(refute_0_3668,plain,
    ( bigC(product(c,b),product(a,b),product(b,c)) != product(c,bigC(b,b,c))
    | product(product(product(c,b),a),b) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),a),b) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),b),bigC(product(c,b),product(a,b),product(b,c))) ),[1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_3669,plain,
    ( product(product(product(c,b),a),b) != bigC(product(c,b),product(a,b),product(b,c))
    | product(product(product(c,b),a),b) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(b,c)),product(c,bigC(b,b,c))) )],[refute_0_3667,refute_0_3668]) ).

cnf(refute_0_3670,plain,
    product(product(product(c,b),a),b) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),b),bigC(product(c,b),product(a,b),product(b,c))) )],[refute_0_3655,refute_0_3669]) ).

cnf(refute_0_3671,plain,
    ( product(product(product(c,b),a),b) != product(c,bigC(b,b,c))
    | quotient(product(product(product(c,b),a),b),b) != product(product(c,b),a)
    | quotient(product(c,bigC(b,b,c)),b) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),a),b),b),product(product(c,b),a)) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_3672,plain,
    ( quotient(product(product(product(c,b),a),b),b) != product(product(c,b),a)
    | quotient(product(c,bigC(b,b,c)),b) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),b),product(c,bigC(b,b,c))) )],[refute_0_3670,refute_0_3671]) ).

cnf(refute_0_3673,plain,
    quotient(product(c,bigC(b,b,c)),b) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),a),b),b),product(product(c,b),a)) )],[refute_0_3626,refute_0_3672]) ).

cnf(refute_0_3674,plain,
    quotient(product(product(c,product(c,a)),b),b) = product(c,product(c,a)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,product(c,a)))),bind(B,$fot(b))]]) ).

cnf(refute_0_3675,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | quotient(product(product(c,product(c,a)),b),b) != product(c,product(c,a))
    | quotient(product(c,bigC(b,b,c)),b) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),b),product(c,product(c,a))) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_3676,plain,
    ( quotient(product(product(c,product(c,a)),b),b) != product(c,product(c,a))
    | quotient(product(c,bigC(b,b,c)),b) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),b),product(c,bigC(b,b,c))) )],[refute_0_922,refute_0_3675]) ).

cnf(refute_0_3677,plain,
    quotient(product(c,bigC(b,b,c)),b) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,a)),b),b),product(c,product(c,a))) )],[refute_0_3674,refute_0_3676]) ).

cnf(refute_0_3678,plain,
    ( quotient(product(c,bigC(b,b,c)),b) != product(c,product(c,a))
    | quotient(product(c,bigC(b,b,c)),b) != product(product(c,b),a)
    | product(c,product(c,a)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),b),product(product(c,b),a)) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_3679,plain,
    ( quotient(product(c,bigC(b,b,c)),b) != product(product(c,b),a)
    | product(c,product(c,a)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),b),product(c,product(c,a))) )],[refute_0_3677,refute_0_3678]) ).

cnf(refute_0_3680,plain,
    product(c,product(c,a)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),b),product(product(c,b),a)) )],[refute_0_3673,refute_0_3679]) ).

cnf(refute_0_3681,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_16:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_3682,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_3680,refute_0_3681]) ).

cnf(refute_0_3683,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_3684,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_3685,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_3683,refute_0_3684]) ).

cnf(refute_0_3686,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_3682,refute_0_3685]) ).

cnf(refute_0_3687,plain,
    ( product(c,product(c,product(c,a))) != bigC(c,c,product(b,a))
    | product(c,product(product(c,b),a)) != product(c,product(c,product(c,a)))
    | product(c,product(product(c,b),a)) = bigC(c,c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,b),a)))),bind(Y,$fot(product(c,product(c,product(c,a))))),bind(Z,$fot(bigC(c,c,product(b,a))))]]) ).

cnf(refute_0_3688,plain,
    ( product(c,product(c,product(c,a))) != bigC(c,c,product(b,a))
    | product(c,product(product(c,b),a)) = bigC(c,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),product(c,product(c,product(c,a)))) )],[refute_0_3686,refute_0_3687]) ).

cnf(refute_0_3689,plain,
    product(c,product(product(c,b),a)) = bigC(c,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(c,c,product(b,a))) )],[refute_0_3625,refute_0_3688]) ).

cnf(refute_0_3690,plain,
    ( bigC(a,b,product(b,a)) != product(c,product(product(c,b),a))
    | product(c,product(product(c,b),a)) != bigC(c,c,product(b,a))
    | bigC(a,b,product(b,a)) = bigC(c,c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(b,a)),bigC(c,c,product(b,a))) ),[0],$fot(product(c,product(product(c,b),a)))]]) ).

cnf(refute_0_3691,plain,
    ( bigC(a,b,product(b,a)) != product(c,product(product(c,b),a))
    | bigC(a,b,product(b,a)) = bigC(c,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),bigC(c,c,product(b,a))) )],[refute_0_3689,refute_0_3690]) ).

cnf(refute_0_3692,plain,
    bigC(a,b,product(b,a)) = bigC(c,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(c,product(product(c,b),a))) )],[refute_0_3623,refute_0_3691]) ).

cnf(refute_0_3693,plain,
    ( bigC(a,b,product(b,a)) != bigC(c,c,product(b,a))
    | bigC(c,c,product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(bigC(c,c,product(b,a))))]]) ).

cnf(refute_0_3694,plain,
    bigC(c,c,product(b,a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),bigC(c,c,product(b,a))) )],[refute_0_3692,refute_0_3693]) ).

cnf(refute_0_3695,plain,
    ( bigC(c,c,product(b,a)) != bigC(a,b,product(b,a))
    | bigC(c,c,product(b,a)) != product(c,product(c,product(c,a)))
    | bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,a)),product(c,product(c,product(c,a)))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_3696,plain,
    ( bigC(c,c,product(b,a)) != product(c,product(c,product(c,a)))
    | bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_3694,refute_0_3695]) ).

cnf(refute_0_3697,plain,
    bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),product(c,product(c,product(c,a)))) )],[refute_0_3565,refute_0_3696]) ).

cnf(refute_0_3698,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_16:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_3699,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_3697,refute_0_3698]) ).

cnf(refute_0_3700,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_32:[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_3701,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_3576,refute_0_3700]) ).

cnf(refute_0_3702,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_3686,refute_0_3701]) ).

cnf(refute_0_3703,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_32:[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_3704,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_3702,refute_0_3703]) ).

cnf(refute_0_3705,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_3699,refute_0_3704]) ).

cnf(refute_0_3706,plain,
    product(c,product(product(c,c),product(product(c,b),a))) = product(c,product(product(c,c),product(product(c,b),a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,c),product(product(c,b),a))))]]) ).

cnf(refute_0_3707,plain,
    ( product(c,product(product(c,c),product(product(c,b),a))) != product(c,product(product(c,c),product(product(c,b),a)))
    | product(product(c,c),product(product(c,b),a)) != bigC(a,b,product(b,a))
    | product(c,product(product(c,c),product(product(c,b),a))) = product(c,bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,c),product(product(c,b),a))),product(c,product(product(c,c),product(product(c,b),a)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_3708,plain,
    ( product(product(c,c),product(product(c,b),a)) != bigC(a,b,product(b,a))
    | product(c,product(product(c,c),product(product(c,b),a))) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(product(c,b),a))),product(c,product(product(c,c),product(product(c,b),a)))) )],[refute_0_3706,refute_0_3707]) ).

cnf(refute_0_3709,plain,
    product(c,product(product(c,c),product(product(c,b),a))) = product(c,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_3705,refute_0_3708]) ).

cnf(refute_0_3710,plain,
    bigC(product(c,a),product(b,c),product(A,C)) = product(c,product(product(A,C),product(c,a))),
    inference(subst,[],[refute_0_778:[bind(X_19,$fot(product(A,C)))]]) ).

cnf(refute_0_3711,plain,
    product(product(A,c),product(C,a)) = product(product(A,C),product(c,a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_3712,plain,
    ( product(product(A,c),product(C,a)) != product(product(A,C),product(c,a))
    | product(product(A,C),product(c,a)) = product(product(A,c),product(C,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,c),product(C,a)))),bind(Y,$fot(product(product(A,C),product(c,a))))]]) ).

cnf(refute_0_3713,plain,
    product(product(A,C),product(c,a)) = product(product(A,c),product(C,a)),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,a)),product(product(A,C),product(c,a))) )],[refute_0_3711,refute_0_3712]) ).

cnf(refute_0_3714,plain,
    ( bigC(product(c,a),product(b,c),product(A,C)) != product(c,product(product(A,C),product(c,a)))
    | product(product(A,C),product(c,a)) != product(product(A,c),product(C,a))
    | bigC(product(c,a),product(b,c),product(A,C)) = product(c,product(product(A,c),product(C,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(b,c),product(A,C)),product(c,product(product(A,C),product(c,a)))) ),[1,1],$fot(product(product(A,c),product(C,a)))]]) ).

cnf(refute_0_3715,plain,
    ( bigC(product(c,a),product(b,c),product(A,C)) != product(c,product(product(A,C),product(c,a)))
    | bigC(product(c,a),product(b,c),product(A,C)) = product(c,product(product(A,c),product(C,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(c,a)),product(product(A,c),product(C,a))) )],[refute_0_3713,refute_0_3714]) ).

cnf(refute_0_3716,plain,
    bigC(product(c,a),product(b,c),product(A,C)) = product(c,product(product(A,c),product(C,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(A,C)),product(c,product(product(A,C),product(c,a)))) )],[refute_0_3710,refute_0_3715]) ).

cnf(refute_0_3717,plain,
    ( bigC(product(c,a),product(b,c),product(A,C)) != product(c,product(product(A,C),product(c,a)))
    | bigC(product(c,a),product(b,c),product(A,C)) != product(c,product(product(A,c),product(C,a)))
    | product(c,product(product(A,C),product(c,a))) = product(c,product(product(A,c),product(C,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(b,c),product(A,C)),product(c,product(product(A,c),product(C,a)))) ),[0],$fot(product(c,product(product(A,C),product(c,a))))]]) ).

cnf(refute_0_3718,plain,
    ( bigC(product(c,a),product(b,c),product(A,C)) != product(c,product(product(A,c),product(C,a)))
    | product(c,product(product(A,C),product(c,a))) = product(c,product(product(A,c),product(C,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(A,C)),product(c,product(product(A,C),product(c,a)))) )],[refute_0_3710,refute_0_3717]) ).

cnf(refute_0_3719,plain,
    product(c,product(product(A,C),product(c,a))) = product(c,product(product(A,c),product(C,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,c),product(A,C)),product(c,product(product(A,c),product(C,a)))) )],[refute_0_3716,refute_0_3718]) ).

cnf(refute_0_3720,plain,
    product(c,product(product(c,product(c,b)),product(c,a))) = product(c,product(product(c,c),product(product(c,b),a))),
    inference(subst,[],[refute_0_3719:[bind(A,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_3721,plain,
    product(product(c,product(c,b)),product(X_25,a)) = product(product(product(c,product(c,b)),X_25),product(product(c,product(c,b)),a)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,product(c,b)))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3722,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(product(c,product(c,b)),product(X_25,a)) != product(product(product(c,product(c,b)),X_25),product(product(c,product(c,b)),a))
    | product(product(c,product(c,b)),product(X_25,a)) = product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(X_25,a)),product(product(product(c,product(c,b)),X_25),product(product(c,product(c,b)),a))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_3723,plain,
    ( product(product(c,product(c,b)),product(X_25,a)) != product(product(product(c,product(c,b)),X_25),product(product(c,product(c,b)),a))
    | product(product(c,product(c,b)),product(X_25,a)) = product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_3722]) ).

cnf(refute_0_3724,plain,
    product(product(c,product(c,b)),product(X_25,a)) = product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_25,a)),product(product(product(c,product(c,b)),X_25),product(product(c,product(c,b)),a))) )],[refute_0_3721,refute_0_3723]) ).

cnf(refute_0_3725,plain,
    product(product(c,X_25),product(c,product(c,a))) = product(c,product(X_25,product(c,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_3726,plain,
    product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) = product(product(A,C),product(bigC(b,a,b),bigC(a,a,c))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,a,b))),bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3727,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) != product(product(A,C),product(bigC(b,a,b),bigC(a,a,c)))
    | product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) = product(product(A,C),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))),product(product(A,C),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_3728,plain,
    ( product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) != product(product(A,C),product(bigC(b,a,b),bigC(a,a,c)))
    | product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) = product(product(A,C),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_3727]) ).

cnf(refute_0_3729,plain,
    product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))) = product(product(A,C),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,a,b)),product(C,bigC(a,a,c))),product(product(A,C),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_3726,refute_0_3728]) ).

cnf(refute_0_3730,plain,
    product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) = product(product(c,X_25),product(c,product(c,a))),
    inference(subst,[],[refute_0_3729:[bind(A,$fot(c)),bind(C,$fot(X_25))]]) ).

cnf(refute_0_3731,plain,
    ( product(product(c,X_25),product(c,product(c,a))) != product(c,product(X_25,product(c,a)))
    | product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) != product(product(c,X_25),product(c,product(c,a)))
    | product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))))),bind(Y,$fot(product(product(c,X_25),product(c,product(c,a))))),bind(Z,$fot(product(c,product(X_25,product(c,a)))))]]) ).

cnf(refute_0_3732,plain,
    ( product(product(c,X_25),product(c,product(c,a))) != product(c,product(X_25,product(c,a)))
    | product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))),product(product(c,X_25),product(c,product(c,a)))) )],[refute_0_3730,refute_0_3731]) ).

cnf(refute_0_3733,plain,
    product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(c,product(c,a))),product(c,product(X_25,product(c,a)))) )],[refute_0_3725,refute_0_3732]) ).

cnf(refute_0_3734,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(c,c,product(c,b)) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,b)))),bind(Y,$fot(product(c,bigC(c,b,c)))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_3735,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(c,c,product(c,b)) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(c,b,c))) )],[refute_0_3192,refute_0_3734]) ).

cnf(refute_0_3736,plain,
    bigC(c,c,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_2857,refute_0_3735]) ).

cnf(refute_0_3737,plain,
    product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))))]]) ).

cnf(refute_0_3738,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(b,a,b))
    | product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) != product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))
    | product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_3739,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(b,a,b))
    | product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))) )],[refute_0_3737,refute_0_3738]) ).

cnf(refute_0_3740,plain,
    product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(b,a,b))) )],[refute_0_3736,refute_0_3739]) ).

cnf(refute_0_3741,plain,
    ( product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) != product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c)))
    | product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) != product(c,product(X_25,product(c,a)))
    | product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))))),bind(Y,$fot(product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))))),bind(Z,$fot(product(c,product(X_25,product(c,a)))))]]) ).

cnf(refute_0_3742,plain,
    ( product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))) != product(c,product(X_25,product(c,a)))
    | product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c)))) )],[refute_0_3740,refute_0_3741]) ).

cnf(refute_0_3743,plain,
    product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(X_25,bigC(a,a,c))),product(c,product(X_25,product(c,a)))) )],[refute_0_3733,refute_0_3742]) ).

cnf(refute_0_3744,plain,
    product(product(product(X_24,X_25),X_97),product(X_24,X_26)) = product(product(product(X_24,X_25),product(X_24,X_26)),product(X_97,product(X_24,X_26))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(X_24,X_25))),bind(X_24,$fot(X_97)),bind(X_26,$fot(product(X_24,X_26)))]]) ).

cnf(refute_0_3745,plain,
    ( product(product(X_24,X_25),product(X_24,X_26)) != product(X_24,product(X_25,X_26))
    | product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(product(product(X_24,X_25),product(X_24,X_26)),product(X_97,product(X_24,X_26)))
    | product(product(product(X_24,X_25),X_97),product(X_24,X_26)) = product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_24,X_25),X_97),product(X_24,X_26)),product(product(product(X_24,X_25),product(X_24,X_26)),product(X_97,product(X_24,X_26)))) ),[1,0],$fot(product(X_24,product(X_25,X_26)))]]) ).

cnf(refute_0_3746,plain,
    ( product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(product(product(X_24,X_25),product(X_24,X_26)),product(X_97,product(X_24,X_26)))
    | product(product(product(X_24,X_25),X_97),product(X_24,X_26)) = product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) ),
    inference(resolve,[$cnf( $equal(product(product(X_24,X_25),product(X_24,X_26)),product(X_24,product(X_25,X_26))) )],[refute_0_428,refute_0_3745]) ).

cnf(refute_0_3747,plain,
    product(product(product(X_24,X_25),X_97),product(X_24,X_26)) = product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))),
    inference(resolve,[$cnf( $equal(product(product(product(X_24,X_25),X_97),product(X_24,X_26)),product(product(product(X_24,X_25),product(X_24,X_26)),product(X_97,product(X_24,X_26)))) )],[refute_0_3744,refute_0_3746]) ).

cnf(refute_0_3748,plain,
    product(product(product(X_24,X_25),X_97),product(X_24,X_26)) = product(bigC(X_24,X_25,X_24),product(X_97,X_26)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_25)),bind(X_25,$fot(X_97))]]) ).

cnf(refute_0_3749,plain,
    ( product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(bigC(X_24,X_25,X_24),product(X_97,X_26))
    | product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))
    | product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_24,X_25),X_97),product(X_24,X_26)),product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))) ),[0],$fot(product(bigC(X_24,X_25,X_24),product(X_97,X_26)))]]) ).

cnf(refute_0_3750,plain,
    ( product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))
    | product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_24,X_25),X_97),product(X_24,X_26)),product(bigC(X_24,X_25,X_24),product(X_97,X_26))) )],[refute_0_3748,refute_0_3749]) ).

cnf(refute_0_3751,plain,
    product(product(X_24,X_97),product(product(X_25,X_24),X_26)) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(X_24)),bind(B,$fot(X_97)),bind(D,$fot(X_26)),bind(X_36,$fot(X_25))]]) ).

cnf(refute_0_3752,plain,
    product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) = product(product(A,C),product(product(X_96,X_98),product(X_97,X_98))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(X_96,X_98))),bind(D,$fot(product(X_97,X_98)))]]) ).

cnf(refute_0_3753,plain,
    ( product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) != product(product(A,C),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(X_97,X_98)) != product(product(X_96,X_97),X_98)
    | product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) = product(product(A,C),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))),product(product(A,C),product(product(X_96,X_98),product(X_97,X_98)))) ),[1,1],$fot(product(product(X_96,X_97),X_98))]]) ).

cnf(refute_0_3754,plain,
    ( product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) != product(product(A,C),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) = product(product(A,C),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_97,X_98)),product(product(X_96,X_97),X_98)) )],[refute_0_2056,refute_0_3753]) ).

cnf(refute_0_3755,plain,
    product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))) = product(product(A,C),product(product(X_96,X_97),X_98)),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_96,X_98)),product(C,product(X_97,X_98))),product(product(A,C),product(product(X_96,X_98),product(X_97,X_98)))) )],[refute_0_3752,refute_0_3754]) ).

cnf(refute_0_3756,plain,
    product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) = product(product(X_24,X_97),product(product(X_25,X_24),X_26)),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(X_24)),bind(C,$fot(X_97)),bind(X_96,$fot(X_25)),bind(X_97,$fot(X_24)),bind(X_98,$fot(X_26))]]) ).

cnf(refute_0_3757,plain,
    ( product(product(X_24,X_97),product(product(X_25,X_24),X_26)) != product(bigC(X_24,X_24,X_25),product(X_97,X_26))
    | product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) != product(product(X_24,X_97),product(product(X_25,X_24),X_26))
    | product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))))),bind(Y,$fot(product(product(X_24,X_97),product(product(X_25,X_24),X_26)))),bind(Z,$fot(product(bigC(X_24,X_24,X_25),product(X_97,X_26))))]]) ).

cnf(refute_0_3758,plain,
    ( product(product(X_24,X_97),product(product(X_25,X_24),X_26)) != product(bigC(X_24,X_24,X_25),product(X_97,X_26))
    | product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))),product(product(X_24,X_97),product(product(X_25,X_24),X_26))) )],[refute_0_3756,refute_0_3757]) ).

cnf(refute_0_3759,plain,
    product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_24,X_97),product(product(X_25,X_24),X_26)),product(bigC(X_24,X_24,X_25),product(X_97,X_26))) )],[refute_0_3751,refute_0_3758]) ).

cnf(refute_0_3760,plain,
    ( product(bigC(X_24,X_25,X_24),product(X_97,X_26)) != product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))
    | product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))) != product(bigC(X_24,X_24,X_25),product(X_97,X_26))
    | product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_24,X_25,X_24),product(X_97,X_26)),product(bigC(X_24,X_24,X_25),product(X_97,X_26))) ),[0],$fot(product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))))]]) ).

cnf(refute_0_3761,plain,
    ( product(bigC(X_24,X_25,X_24),product(X_97,X_26)) != product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))
    | product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26))),product(bigC(X_24,X_24,X_25),product(X_97,X_26))) )],[refute_0_3759,refute_0_3760]) ).

cnf(refute_0_3762,plain,
    ( product(product(product(X_24,X_25),X_97),product(X_24,X_26)) != product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))
    | product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_24,X_25,X_24),product(X_97,X_26)),product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))) )],[refute_0_3750,refute_0_3761]) ).

cnf(refute_0_3763,plain,
    product(bigC(X_24,X_25,X_24),product(X_97,X_26)) = product(bigC(X_24,X_24,X_25),product(X_97,X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(X_24,X_25),X_97),product(X_24,X_26)),product(product(X_24,product(X_25,X_26)),product(X_97,product(X_24,X_26)))) )],[refute_0_3747,refute_0_3762]) ).

cnf(refute_0_3764,plain,
    product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))) = product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(bigC(a,a,c))),bind(X_97,$fot(X_25))]]) ).

cnf(refute_0_3765,plain,
    product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(c,b))),bind(X_24,$fot(c)),bind(X_26,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3766,plain,
    ( product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))) != product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) != product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))))),bind(Y,$fot(product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))))),bind(Z,$fot(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))))]]) ).

cnf(refute_0_3767,plain,
    ( product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))) != product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))),product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c)))) )],[refute_0_3765,refute_0_3766]) ).

cnf(refute_0_3768,plain,
    product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),product(X_25,bigC(a,a,c))),product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))) )],[refute_0_3764,refute_0_3767]) ).

cnf(refute_0_3769,plain,
    ( product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) != product(c,product(X_25,product(c,a)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) != product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))))),bind(Y,$fot(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))))),bind(Z,$fot(product(c,product(X_25,product(c,a)))))]]) ).

cnf(refute_0_3770,plain,
    ( product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))) != product(c,product(X_25,product(c,a)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))),product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c)))) )],[refute_0_3768,refute_0_3769]) ).

cnf(refute_0_3771,plain,
    product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(X_25,bigC(a,a,c))),product(c,product(X_25,product(c,a)))) )],[refute_0_3743,refute_0_3770]) ).

cnf(refute_0_3772,plain,
    ( product(product(c,product(c,b)),product(X_25,a)) != product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c)))
    | product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))) != product(c,product(X_25,product(c,a)))
    | product(product(c,product(c,b)),product(X_25,a)) = product(c,product(X_25,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,product(c,b)),product(X_25,a)),product(c,product(X_25,product(c,a)))) ),[0],$fot(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_3773,plain,
    ( product(product(c,product(c,b)),product(X_25,a)) != product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c)))
    | product(product(c,product(c,b)),product(X_25,a)) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c))),product(c,product(X_25,product(c,a)))) )],[refute_0_3771,refute_0_3772]) ).

cnf(refute_0_3774,plain,
    product(product(c,product(c,b)),product(X_25,a)) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_25,a)),product(product(product(c,product(c,b)),X_25),product(c,bigC(a,a,c)))) )],[refute_0_3724,refute_0_3773]) ).

cnf(refute_0_3775,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),a)) = product(c,product(product(c,product(c,b)),product(c,a))),
    inference(subst,[],[refute_0_3774:[bind(X_25,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_3776,plain,
    ( product(c,product(product(c,product(c,b)),product(c,a))) != product(c,product(product(c,c),product(product(c,b),a)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),a)) != product(c,product(product(c,product(c,b)),product(c,a)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),a)) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),a)))),bind(Y,$fot(product(c,product(product(c,product(c,b)),product(c,a))))),bind(Z,$fot(product(c,product(product(c,c),product(product(c,b),a)))))]]) ).

cnf(refute_0_3777,plain,
    ( product(c,product(product(c,product(c,b)),product(c,a))) != product(c,product(product(c,c),product(product(c,b),a)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),a)) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),a)),product(c,product(product(c,product(c,b)),product(c,a)))) )],[refute_0_3775,refute_0_3776]) ).

cnf(refute_0_3778,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),a)) = product(c,product(product(c,c),product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),product(c,a))),product(c,product(product(c,c),product(product(c,b),a)))) )],[refute_0_3720,refute_0_3777]) ).

cnf(refute_0_3779,plain,
    difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),a)),
    inference(subst,[],[refute_0_1009:[bind(B,$fot(c)),bind(D,$fot(product(c,b))),bind(X_29,$fot(a))]]) ).

cnf(refute_0_3780,plain,
    ( difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),a))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),a)) != product(c,product(product(c,c),product(product(c,b),a)))
    | difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))))),bind(Y,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),a)))),bind(Z,$fot(product(c,product(product(c,c),product(product(c,b),a)))))]]) ).

cnf(refute_0_3781,plain,
    ( product(product(c,product(c,b)),product(product(c,product(c,b)),a)) != product(c,product(product(c,c),product(product(c,b),a)))
    | difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) )],[refute_0_3779,refute_0_3780]) ).

cnf(refute_0_3782,plain,
    difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),a)),product(c,product(product(c,c),product(product(c,b),a)))) )],[refute_0_3778,refute_0_3781]) ).

cnf(refute_0_3783,plain,
    difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,b)))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_3784,plain,
    ( difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) != product(c,product(product(c,c),product(product(c,b),a)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))))),bind(Y,$fot(difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))))),bind(Z,$fot(product(c,product(product(c,c),product(product(c,b),a)))))]]) ).

cnf(refute_0_3785,plain,
    ( difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))) != product(c,product(product(c,c),product(product(c,b),a)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b)))) )],[refute_0_3783,refute_0_3784]) ).

cnf(refute_0_3786,plain,
    difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,product(product(c,c),product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(product(c,product(c,b)),product(c,b))),product(c,product(c,b))),product(c,product(product(c,c),product(product(c,b),a)))) )],[refute_0_3782,refute_0_3785]) ).

cnf(refute_0_3787,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(c,product(product(c,c),product(product(c,b),a)))
    | product(c,product(product(c,c),product(product(c,b),a))) != product(c,bigC(a,b,product(b,a)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,bigC(a,b,product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))))),bind(Y,$fot(product(c,product(product(c,c),product(product(c,b),a))))),bind(Z,$fot(product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_3788,plain,
    ( product(c,product(product(c,c),product(product(c,b),a))) != product(c,bigC(a,b,product(b,a)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(c,product(product(c,c),product(product(c,b),a)))) )],[refute_0_3786,refute_0_3787]) ).

cnf(refute_0_3789,plain,
    difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(product(c,b),a))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_3709,refute_0_3788]) ).

cnf(refute_0_3790,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(c,bigC(a,b,product(b,a)))
    | difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(c,bigC(a,a,c)))
    | product(c,bigC(a,b,product(b,a))) = product(product(c,product(c,b)),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) ),[0],$fot(product(c,bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_3791,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(c,bigC(a,a,c)))
    | product(c,bigC(a,b,product(b,a))) = product(product(c,product(c,b)),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_3789,refute_0_3790]) ).

cnf(refute_0_3792,plain,
    bigC(product(c,a),B,bigC(b,b,c)) = product(product(product(c,a),B),product(bigC(b,b,c),product(c,a))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,a))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3793,plain,
    difference(c,product(c,product(bigC(b,b,c),product(c,a)))) = product(bigC(b,b,c),product(c,a)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(bigC(b,b,c),product(c,a))))]]) ).

cnf(refute_0_3794,plain,
    bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(product(product(c,product(c,a)),b),product(c,product(c,a))),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,product(c,a)))),bind(X_18,$fot(b))]]) ).

cnf(refute_0_3795,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(product(product(c,product(c,a)),b),product(c,product(c,a)))
    | product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(product(c,bigC(b,b,c)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(product(product(c,product(c,a)),b),product(c,product(c,a)))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_3796,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(product(product(c,product(c,a)),b),product(c,product(c,a)))
    | bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(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_922,refute_0_3795]) ).

cnf(refute_0_3797,plain,
    bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(product(c,bigC(b,b,c)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(product(product(c,product(c,a)),b),product(c,product(c,a)))) )],[refute_0_3794,refute_0_3796]) ).

cnf(refute_0_3798,plain,
    product(product(c,b),product(c,bigC(a,a,c))) = product(c,product(b,bigC(a,a,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(b)),bind(X_26,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3799,plain,
    product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(product(c,b),product(bigC(c,a,c),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(bigC(c,a,c),product(c,a))))]]) ).

cnf(refute_0_3800,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,a,c))
    | product(product(c,b),product(bigC(c,a,c),product(c,a))) != product(product(c,b),product(bigC(c,a,c),product(c,a)))
    | product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(product(c,b),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(bigC(c,a,c),product(c,a))),product(product(c,b),product(bigC(c,a,c),product(c,a)))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_3801,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,a,c))
    | product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(product(c,b),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(c,a,c),product(c,a))),product(product(c,b),product(bigC(c,a,c),product(c,a)))) )],[refute_0_3799,refute_0_3800]) ).

cnf(refute_0_3802,plain,
    product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(product(c,b),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_2018,refute_0_3801]) ).

cnf(refute_0_3803,plain,
    ( product(product(c,b),product(bigC(c,a,c),product(c,a))) != product(product(c,b),product(c,bigC(a,a,c)))
    | product(product(c,b),product(c,bigC(a,a,c))) != product(c,product(b,bigC(a,a,c)))
    | product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(bigC(c,a,c),product(c,a))))),bind(Y,$fot(product(product(c,b),product(c,bigC(a,a,c))))),bind(Z,$fot(product(c,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_3804,plain,
    ( product(product(c,b),product(c,bigC(a,a,c))) != product(c,product(b,bigC(a,a,c)))
    | product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(c,a,c),product(c,a))),product(product(c,b),product(c,bigC(a,a,c)))) )],[refute_0_3802,refute_0_3803]) ).

cnf(refute_0_3805,plain,
    product(product(c,b),product(bigC(c,a,c),product(c,a))) = product(c,product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,bigC(a,a,c))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3798,refute_0_3804]) ).

cnf(refute_0_3806,plain,
    product(product(c,bigC(c,a,c)),product(b,product(c,a))) = product(product(c,b),product(bigC(c,a,c),product(c,a))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,c))),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_3807,plain,
    ( product(product(c,b),product(bigC(c,a,c),product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | product(product(c,bigC(c,a,c)),product(b,product(c,a))) != product(product(c,b),product(bigC(c,a,c),product(c,a)))
    | product(product(c,bigC(c,a,c)),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(c,a,c)),product(b,product(c,a))))),bind(Y,$fot(product(product(c,b),product(bigC(c,a,c),product(c,a))))),bind(Z,$fot(product(c,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_3808,plain,
    ( product(product(c,b),product(bigC(c,a,c),product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | product(product(c,bigC(c,a,c)),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,c)),product(b,product(c,a))),product(product(c,b),product(bigC(c,a,c),product(c,a)))) )],[refute_0_3806,refute_0_3807]) ).

cnf(refute_0_3809,plain,
    product(product(c,bigC(c,a,c)),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(c,a,c),product(c,a))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3805,refute_0_3808]) ).

cnf(refute_0_3810,plain,
    product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(bigC(c,product(c,a),c),product(b,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,a),c),product(b,product(c,a))))]]) ).

cnf(refute_0_3811,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) != product(bigC(c,product(c,a),c),product(b,product(c,a)))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(product(c,bigC(c,a,c)),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,a),c),product(b,product(c,a))),product(bigC(c,product(c,a),c),product(b,product(c,a)))) ),[1,0],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_3812,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(product(c,bigC(c,a,c)),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(b,product(c,a))),product(bigC(c,product(c,a),c),product(b,product(c,a)))) )],[refute_0_3810,refute_0_3811]) ).

cnf(refute_0_3813,plain,
    product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(product(c,bigC(c,a,c)),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(c,a,c))) )],[refute_0_984,refute_0_3812]) ).

cnf(refute_0_3814,plain,
    ( product(bigC(c,product(c,a),c),product(b,product(c,a))) != product(product(c,bigC(c,a,c)),product(b,product(c,a)))
    | product(product(c,bigC(c,a,c)),product(b,product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(c,a),c),product(b,product(c,a))))),bind(Y,$fot(product(product(c,bigC(c,a,c)),product(b,product(c,a))))),bind(Z,$fot(product(c,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_3815,plain,
    ( product(product(c,bigC(c,a,c)),product(b,product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(b,product(c,a))),product(product(c,bigC(c,a,c)),product(b,product(c,a)))) )],[refute_0_3813,refute_0_3814]) ).

cnf(refute_0_3816,plain,
    product(bigC(c,product(c,a),c),product(b,product(c,a))) = product(c,product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,c)),product(b,product(c,a))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3809,refute_0_3815]) ).

cnf(refute_0_3817,plain,
    bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(bigC(c,product(c,a),c),product(b,product(c,a))),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_3818,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(bigC(c,product(c,a),c),product(b,product(c,a)))
    | product(bigC(c,product(c,a),c),product(b,product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,a)),b,product(c,product(c,a))))),bind(Y,$fot(product(bigC(c,product(c,a),c),product(b,product(c,a))))),bind(Z,$fot(product(c,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_3819,plain,
    ( product(bigC(c,product(c,a),c),product(b,product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(bigC(c,product(c,a),c),product(b,product(c,a)))) )],[refute_0_3817,refute_0_3818]) ).

cnf(refute_0_3820,plain,
    bigC(product(c,product(c,a)),b,product(c,product(c,a))) = product(c,product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(b,product(c,a))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3816,refute_0_3819]) ).

cnf(refute_0_3821,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(product(c,bigC(b,b,c)),product(c,product(c,a)))
    | product(c,product(b,bigC(a,a,c))) = product(product(c,bigC(b,b,c)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(product(c,bigC(b,b,c)),product(c,product(c,a)))) ),[0],$fot(product(c,product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_3822,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(product(c,bigC(b,b,c)),product(c,product(c,a)))
    | product(c,product(b,bigC(a,a,c))) = product(product(c,bigC(b,b,c)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3820,refute_0_3821]) ).

cnf(refute_0_3823,plain,
    product(product(c,bigC(b,b,c)),product(c,product(c,a))) = product(c,product(bigC(b,b,c),product(c,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(bigC(b,b,c))),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_3824,plain,
    ( product(c,product(b,bigC(a,a,c))) != product(product(c,bigC(b,b,c)),product(c,product(c,a)))
    | product(product(c,bigC(b,b,c)),product(c,product(c,a))) != product(c,product(bigC(b,b,c),product(c,a)))
    | product(c,product(b,bigC(a,a,c))) = product(c,product(bigC(b,b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(b,bigC(a,a,c))),product(c,product(bigC(b,b,c),product(c,a)))) ),[0],$fot(product(product(c,bigC(b,b,c)),product(c,product(c,a))))]]) ).

cnf(refute_0_3825,plain,
    ( product(c,product(b,bigC(a,a,c))) != product(product(c,bigC(b,b,c)),product(c,product(c,a)))
    | product(c,product(b,bigC(a,a,c))) = product(c,product(bigC(b,b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(c,product(c,a))),product(c,product(bigC(b,b,c),product(c,a)))) )],[refute_0_3823,refute_0_3824]) ).

cnf(refute_0_3826,plain,
    ( bigC(product(c,product(c,a)),b,product(c,product(c,a))) != product(product(c,bigC(b,b,c)),product(c,product(c,a)))
    | product(c,product(b,bigC(a,a,c))) = product(c,product(bigC(b,b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,bigC(a,a,c))),product(product(c,bigC(b,b,c)),product(c,product(c,a)))) )],[refute_0_3822,refute_0_3825]) ).

cnf(refute_0_3827,plain,
    product(c,product(b,bigC(a,a,c))) = product(c,product(bigC(b,b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),b,product(c,product(c,a))),product(product(c,bigC(b,b,c)),product(c,product(c,a)))) )],[refute_0_3797,refute_0_3826]) ).

cnf(refute_0_3828,plain,
    ( product(c,product(b,bigC(a,a,c))) != product(c,product(bigC(b,b,c),product(c,a)))
    | product(c,product(bigC(b,b,c),product(c,a))) = product(c,product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(b,bigC(a,a,c))))),bind(Y,$fot(product(c,product(bigC(b,b,c),product(c,a)))))]]) ).

cnf(refute_0_3829,plain,
    product(c,product(bigC(b,b,c),product(c,a))) = product(c,product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(b,bigC(a,a,c))),product(c,product(bigC(b,b,c),product(c,a)))) )],[refute_0_3827,refute_0_3828]) ).

cnf(refute_0_3830,plain,
    ( difference(c,product(c,product(bigC(b,b,c),product(c,a)))) != product(bigC(b,b,c),product(c,a))
    | product(c,product(bigC(b,b,c),product(c,a))) != product(c,product(b,bigC(a,a,c)))
    | difference(c,product(c,product(b,bigC(a,a,c)))) = product(bigC(b,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(bigC(b,b,c),product(c,a)))),product(bigC(b,b,c),product(c,a))) ),[0,1],$fot(product(c,product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_3831,plain,
    ( difference(c,product(c,product(bigC(b,b,c),product(c,a)))) != product(bigC(b,b,c),product(c,a))
    | difference(c,product(c,product(b,bigC(a,a,c)))) = product(bigC(b,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,b,c),product(c,a))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3829,refute_0_3830]) ).

cnf(refute_0_3832,plain,
    difference(c,product(c,product(b,bigC(a,a,c)))) = product(bigC(b,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(bigC(b,b,c),product(c,a)))),product(bigC(b,b,c),product(c,a))) )],[refute_0_3793,refute_0_3831]) ).

cnf(refute_0_3833,plain,
    difference(c,product(c,product(b,bigC(a,a,c)))) = product(b,bigC(a,a,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_3834,plain,
    ( difference(c,product(c,product(b,bigC(a,a,c)))) != product(b,bigC(a,a,c))
    | difference(c,product(c,product(b,bigC(a,a,c)))) != product(bigC(b,b,c),product(c,a))
    | product(b,bigC(a,a,c)) = product(bigC(b,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(b,bigC(a,a,c)))),product(bigC(b,b,c),product(c,a))) ),[0],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_3835,plain,
    ( difference(c,product(c,product(b,bigC(a,a,c)))) != product(bigC(b,b,c),product(c,a))
    | product(b,bigC(a,a,c)) = product(bigC(b,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(b,bigC(a,a,c)))),product(b,bigC(a,a,c))) )],[refute_0_3833,refute_0_3834]) ).

cnf(refute_0_3836,plain,
    product(b,bigC(a,a,c)) = product(bigC(b,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(b,bigC(a,a,c)))),product(bigC(b,b,c),product(c,a))) )],[refute_0_3832,refute_0_3835]) ).

cnf(refute_0_3837,plain,
    ( product(b,bigC(a,a,c)) != product(bigC(b,b,c),product(c,a))
    | product(bigC(b,b,c),product(c,a)) = product(b,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,bigC(a,a,c)))),bind(Y,$fot(product(bigC(b,b,c),product(c,a))))]]) ).

cnf(refute_0_3838,plain,
    product(bigC(b,b,c),product(c,a)) = product(b,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,a,c)),product(bigC(b,b,c),product(c,a))) )],[refute_0_3836,refute_0_3837]) ).

cnf(refute_0_3839,plain,
    ( bigC(product(c,a),B,bigC(b,b,c)) != product(product(product(c,a),B),product(bigC(b,b,c),product(c,a)))
    | product(bigC(b,b,c),product(c,a)) != product(b,bigC(a,a,c))
    | bigC(product(c,a),B,bigC(b,b,c)) = product(product(product(c,a),B),product(b,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),B,bigC(b,b,c)),product(product(product(c,a),B),product(bigC(b,b,c),product(c,a)))) ),[1,1],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_3840,plain,
    ( bigC(product(c,a),B,bigC(b,b,c)) != product(product(product(c,a),B),product(bigC(b,b,c),product(c,a)))
    | bigC(product(c,a),B,bigC(b,b,c)) = product(product(product(c,a),B),product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,a)),product(b,bigC(a,a,c))) )],[refute_0_3838,refute_0_3839]) ).

cnf(refute_0_3841,plain,
    bigC(product(c,a),B,bigC(b,b,c)) = product(product(product(c,a),B),product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),B,bigC(b,b,c)),product(product(product(c,a),B),product(bigC(b,b,c),product(c,a)))) )],[refute_0_3792,refute_0_3840]) ).

cnf(refute_0_3842,plain,
    product(product(product(c,a),B),product(b,bigC(a,a,c))) = product(product(c,product(c,b)),product(B,bigC(a,a,c))),
    inference(subst,[],[refute_0_2696:[bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3843,plain,
    ( bigC(product(c,a),B,bigC(b,b,c)) != product(product(product(c,a),B),product(b,bigC(a,a,c)))
    | product(product(product(c,a),B),product(b,bigC(a,a,c))) != product(product(c,product(c,b)),product(B,bigC(a,a,c)))
    | bigC(product(c,a),B,bigC(b,b,c)) = product(product(c,product(c,b)),product(B,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),B,bigC(b,b,c)),product(product(c,product(c,b)),product(B,bigC(a,a,c)))) ),[0],$fot(product(product(product(c,a),B),product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_3844,plain,
    ( bigC(product(c,a),B,bigC(b,b,c)) != product(product(product(c,a),B),product(b,bigC(a,a,c)))
    | bigC(product(c,a),B,bigC(b,b,c)) = product(product(c,product(c,b)),product(B,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),B),product(b,bigC(a,a,c))),product(product(c,product(c,b)),product(B,bigC(a,a,c)))) )],[refute_0_3842,refute_0_3843]) ).

cnf(refute_0_3845,plain,
    bigC(product(c,a),B,bigC(b,b,c)) = product(product(c,product(c,b)),product(B,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),B,bigC(b,b,c)),product(product(product(c,a),B),product(b,bigC(a,a,c)))) )],[refute_0_3841,refute_0_3844]) ).

cnf(refute_0_3846,plain,
    ( bigC(product(c,a),B,bigC(b,b,c)) != product(product(c,product(c,b)),product(B,bigC(a,a,c)))
    | product(product(c,product(c,b)),product(B,bigC(a,a,c))) = bigC(product(c,a),B,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,a),B,bigC(b,b,c)))),bind(Y,$fot(product(product(c,product(c,b)),product(B,bigC(a,a,c)))))]]) ).

cnf(refute_0_3847,plain,
    product(product(c,product(c,b)),product(B,bigC(a,a,c))) = bigC(product(c,a),B,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),B,bigC(b,b,c)),product(product(c,product(c,b)),product(B,bigC(a,a,c)))) )],[refute_0_3845,refute_0_3846]) ).

cnf(refute_0_3848,plain,
    product(product(c,product(c,b)),product(c,bigC(a,a,c))) = bigC(product(c,a),c,bigC(b,b,c)),
    inference(subst,[],[refute_0_3847:[bind(B,$fot(c))]]) ).

cnf(refute_0_3849,plain,
    ( product(c,bigC(a,b,product(b,a))) != product(product(c,product(c,b)),product(c,bigC(a,a,c)))
    | product(product(c,product(c,b)),product(c,bigC(a,a,c))) != bigC(product(c,a),c,bigC(b,b,c))
    | product(c,bigC(a,b,product(b,a))) = bigC(product(c,a),c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,b,product(b,a))),bigC(product(c,a),c,bigC(b,b,c))) ),[0],$fot(product(product(c,product(c,b)),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_3850,plain,
    ( product(c,bigC(a,b,product(b,a))) != product(product(c,product(c,b)),product(c,bigC(a,a,c)))
    | product(c,bigC(a,b,product(b,a))) = bigC(product(c,a),c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,bigC(a,a,c))),bigC(product(c,a),c,bigC(b,b,c))) )],[refute_0_3848,refute_0_3849]) ).

cnf(refute_0_3851,plain,
    ( difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(c,bigC(a,a,c)))
    | product(c,bigC(a,b,product(b,a))) = bigC(product(c,a),c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(b,a))),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) )],[refute_0_3791,refute_0_3850]) ).

cnf(refute_0_3852,plain,
    product(c,bigC(a,b,product(b,a))) = bigC(product(c,a),c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) )],[refute_0_2456,refute_0_3851]) ).

cnf(refute_0_3853,plain,
    ( product(c,bigC(a,b,product(b,a))) != bigC(product(c,a),c,bigC(b,b,c))
    | bigC(product(c,a),c,bigC(b,b,c)) = product(c,bigC(a,b,product(b,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(a,b,product(b,a))))),bind(Y,$fot(bigC(product(c,a),c,bigC(b,b,c))))]]) ).

cnf(refute_0_3854,plain,
    bigC(product(c,a),c,bigC(b,b,c)) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(b,a))),bigC(product(c,a),c,bigC(b,b,c))) )],[refute_0_3852,refute_0_3853]) ).

cnf(refute_0_3855,plain,
    ( bigC(product(c,a),c,bigC(b,b,c)) != product(c,bigC(a,b,product(b,a)))
    | difference(product(product(c,a),c),bigC(product(c,a),c,bigC(b,b,c))) != product(bigC(b,b,c),product(c,a))
    | difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = product(bigC(b,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),c),bigC(product(c,a),c,bigC(b,b,c))),product(bigC(b,b,c),product(c,a))) ),[0,1],$fot(product(c,bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_3856,plain,
    ( difference(product(product(c,a),c),bigC(product(c,a),c,bigC(b,b,c))) != product(bigC(b,b,c),product(c,a))
    | difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = product(bigC(b,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,bigC(b,b,c)),product(c,bigC(a,b,product(b,a)))) )],[refute_0_3854,refute_0_3855]) ).

cnf(refute_0_3857,plain,
    difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = product(bigC(b,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),c),bigC(product(c,a),c,bigC(b,b,c))),product(bigC(b,b,c),product(c,a))) )],[refute_0_74,refute_0_3856]) ).

cnf(refute_0_3858,plain,
    difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_3859,plain,
    ( difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) != difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a))))
    | product(product(c,a),c) != bigC(a,a,b)
    | difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a))))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_3860,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a))))) )],[refute_0_3858,refute_0_3859]) ).

cnf(refute_0_3861,plain,
    difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) = difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_3860]) ).

cnf(refute_0_3862,plain,
    ( difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) != difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))
    | difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) != product(bigC(b,b,c),product(c,a))
    | difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(bigC(b,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),product(bigC(b,b,c),product(c,a))) ),[0],$fot(difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_3863,plain,
    ( difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) != product(bigC(b,b,c),product(c,a))
    | difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(bigC(b,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))) )],[refute_0_3861,refute_0_3862]) ).

cnf(refute_0_3864,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) != product(bigC(b,b,c),product(c,a))
    | product(bigC(b,b,c),product(c,a)) != product(b,bigC(a,a,c))
    | difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(b,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))),product(b,bigC(a,a,c))) ),[0],$fot(product(bigC(b,b,c),product(c,a)))]]) ).

cnf(refute_0_3865,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) != product(bigC(b,b,c),product(c,a))
    | difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(b,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,a)),product(b,bigC(a,a,c))) )],[refute_0_3838,refute_0_3864]) ).

cnf(refute_0_3866,plain,
    ( difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))) != product(bigC(b,b,c),product(c,a))
    | difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(b,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))),product(bigC(b,b,c),product(c,a))) )],[refute_0_3863,refute_0_3865]) ).

cnf(refute_0_3867,plain,
    difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) = product(b,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),c),product(c,bigC(a,b,product(b,a)))),product(bigC(b,b,c),product(c,a))) )],[refute_0_3857,refute_0_3866]) ).

cnf(refute_0_3868,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))) != product(b,bigC(a,a,c))
    | product(bigC(a,a,b),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))) != product(c,bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),product(b,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))),product(c,bigC(a,b,product(b,a)))) ),[0,1],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_3869,plain,
    ( product(bigC(a,a,b),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))) != product(c,bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),product(b,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a)))),product(b,bigC(a,a,c))) )],[refute_0_3867,refute_0_3868]) ).

cnf(refute_0_3870,plain,
    product(bigC(a,a,b),product(b,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(c,bigC(a,b,product(b,a))))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_73,refute_0_3869]) ).

cnf(refute_0_3871,plain,
    product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(a,a,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(a,a,b))),bind(X_26,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3872,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_2629:[bind(X_17,$fot(bigC(a,a,c))),bind(X_36,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3873,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(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) ),[0,2],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_3874,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))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_3873]) ).

cnf(refute_0_3875,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),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_3872,refute_0_3874]) ).

cnf(refute_0_3876,plain,
    product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) = product(bigC(a,a,c),product(c,a)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(bigC(a,a,c))),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3877,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) != product(bigC(a,a,c),product(c,a))
    | product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)))),bind(Y,$fot(product(bigC(a,a,c),product(c,a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_3878,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)),product(bigC(a,a,c),product(c,a))) )],[refute_0_3876,refute_0_3877]) ).

cnf(refute_0_3879,plain,
    product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) = 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_2290,refute_0_3878]) ).

cnf(refute_0_3880,plain,
    product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) = product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(c)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(a))]]) ).

cnf(refute_0_3881,plain,
    ( product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) != product(product(bigC(a,a,c),c),product(bigC(a,a,c),a))
    | product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)))),bind(Y,$fot(product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_3882,plain,
    ( product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)),product(product(bigC(a,a,c),c),product(bigC(a,a,c),a))) )],[refute_0_3880,refute_0_3881]) ).

cnf(refute_0_3883,plain,
    product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(bigC(a,a,c),a)),bigC(a,c,product(c,a))) )],[refute_0_3879,refute_0_3882]) ).

cnf(refute_0_3884,plain,
    bigC(bigC(c,a,a),X_18,quotient(product(c,a),bigC(c,a,a))) = product(product(bigC(c,a,a),X_18),product(c,a)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(c,a))),bind(X_17,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_3885,plain,
    ( bigC(bigC(c,a,a),X_18,quotient(product(c,a),bigC(c,a,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(c,a,a),X_18),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,a),X_18,quotient(product(c,a),bigC(c,a,a))),product(product(bigC(c,a,a),X_18),product(c,a))) ),[0,2],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_3886,plain,
    ( bigC(bigC(c,a,a),X_18,quotient(product(c,a),bigC(c,a,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(c,a,a),X_18),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_2347,refute_0_3885]) ).

cnf(refute_0_3887,plain,
    bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(c,a,a),X_18),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,a),X_18,quotient(product(c,a),bigC(c,a,a))),product(product(bigC(c,a,a),X_18),product(c,a))) )],[refute_0_3884,refute_0_3886]) ).

cnf(refute_0_3888,plain,
    bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))))]]) ).

cnf(refute_0_3889,plain,
    ( bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) != bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a)))
    | bigC(c,a,a) != bigC(a,a,c)
    | bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_3890,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a)))) )],[refute_0_3888,refute_0_3889]) ).

cnf(refute_0_3891,plain,
    bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_3890]) ).

cnf(refute_0_3892,plain,
    ( bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) != bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a)))
    | bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(c,a,a),X_18),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(c,a,a),X_18),product(c,a))) ),[0],$fot(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))))]]) ).

cnf(refute_0_3893,plain,
    ( bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(c,a,a),X_18),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a)))) )],[refute_0_3891,refute_0_3892]) ).

cnf(refute_0_3894,plain,
    product(bigC(c,a,a),X_18) = product(bigC(c,a,a),X_18),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),X_18))]]) ).

cnf(refute_0_3895,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),X_18) != product(bigC(c,a,a),X_18)
    | product(bigC(c,a,a),X_18) = product(bigC(a,a,c),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),X_18),product(bigC(c,a,a),X_18)) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_3896,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),X_18) = product(bigC(a,a,c),X_18) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),X_18),product(bigC(c,a,a),X_18)) )],[refute_0_3894,refute_0_3895]) ).

cnf(refute_0_3897,plain,
    product(bigC(c,a,a),X_18) = product(bigC(a,a,c),X_18),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_3896]) ).

cnf(refute_0_3898,plain,
    product(product(bigC(c,a,a),X_18),product(c,a)) = product(product(bigC(c,a,a),X_18),product(c,a)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,a),X_18),product(c,a)))]]) ).

cnf(refute_0_3899,plain,
    ( product(bigC(c,a,a),X_18) != product(bigC(a,a,c),X_18)
    | product(product(bigC(c,a,a),X_18),product(c,a)) != product(product(bigC(c,a,a),X_18),product(c,a))
    | product(product(bigC(c,a,a),X_18),product(c,a)) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,a),X_18),product(c,a)),product(product(bigC(c,a,a),X_18),product(c,a))) ),[1,0],$fot(product(bigC(a,a,c),X_18))]]) ).

cnf(refute_0_3900,plain,
    ( product(bigC(c,a,a),X_18) != product(bigC(a,a,c),X_18)
    | product(product(bigC(c,a,a),X_18),product(c,a)) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,a),X_18),product(c,a)),product(product(bigC(c,a,a),X_18),product(c,a))) )],[refute_0_3898,refute_0_3899]) ).

cnf(refute_0_3901,plain,
    product(product(bigC(c,a,a),X_18),product(c,a)) = product(product(bigC(a,a,c),X_18),product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),X_18),product(bigC(a,a,c),X_18)) )],[refute_0_3897,refute_0_3900]) ).

cnf(refute_0_3902,plain,
    ( bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | product(product(bigC(c,a,a),X_18),product(c,a)) != product(product(bigC(a,a,c),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(a,a,c),X_18),product(c,a))) ),[0],$fot(product(product(bigC(c,a,a),X_18),product(c,a)))]]) ).

cnf(refute_0_3903,plain,
    ( bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,a),X_18),product(c,a)),product(product(bigC(a,a,c),X_18),product(c,a))) )],[refute_0_3901,refute_0_3902]) ).

cnf(refute_0_3904,plain,
    ( bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(c,a,a),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(c,a,a),X_18),product(c,a))) )],[refute_0_3893,refute_0_3903]) ).

cnf(refute_0_3905,plain,
    bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,a),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(c,a,a),X_18),product(c,a))) )],[refute_0_3887,refute_0_3904]) ).

cnf(refute_0_3906,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_3907,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_3908,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_3906,refute_0_3907]) ).

cnf(refute_0_3909,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_1861,refute_0_3908]) ).

cnf(refute_0_3910,plain,
    bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))))]]) ).

cnf(refute_0_3911,plain,
    ( bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a)))
    | product(bigC(a,b,c),product(c,a)) != product(c,product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a)))) ),[1,2],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_3912,plain,
    ( product(bigC(a,b,c),product(c,a)) != product(c,product(c,a))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a)))) )],[refute_0_3910,refute_0_3911]) ).

cnf(refute_0_3913,plain,
    bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) = bigC(bigC(a,a,c),X_18,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,a)),product(c,product(c,a))) )],[refute_0_3909,refute_0_3912]) ).

cnf(refute_0_3914,plain,
    ( bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != bigC(bigC(a,a,c),X_18,product(c,product(c,a)))
    | bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(a,a,c),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(c,product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(a,a,c),X_18),product(c,a))) ),[0],$fot(bigC(bigC(a,a,c),X_18,product(c,product(c,a))))]]) ).

cnf(refute_0_3915,plain,
    ( bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))) != product(product(bigC(a,a,c),X_18),product(c,a))
    | bigC(bigC(a,a,c),X_18,product(c,product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),bigC(bigC(a,a,c),X_18,product(c,product(c,a)))) )],[refute_0_3913,refute_0_3914]) ).

cnf(refute_0_3916,plain,
    bigC(bigC(a,a,c),X_18,product(c,product(c,a))) = product(product(bigC(a,a,c),X_18),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),X_18,product(bigC(a,b,c),product(c,a))),product(product(bigC(a,a,c),X_18),product(c,a))) )],[refute_0_3905,refute_0_3915]) ).

cnf(refute_0_3917,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)),
    inference(subst,[],[refute_0_3916:[bind(X_18,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3918,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) != product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a))
    | product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) != bigC(a,c,product(c,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))))),bind(Y,$fot(product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_3919,plain,
    ( product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)) != bigC(a,c,product(c,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))),product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a))) )],[refute_0_3917,refute_0_3918]) ).

cnf(refute_0_3920,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_3883,refute_0_3919]) ).

cnf(refute_0_3921,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) != bigC(a,c,product(c,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | bigC(a,c,product(c,a)) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_3922,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | bigC(a,c,product(c,a)) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))),bigC(a,c,product(c,a))) )],[refute_0_3920,refute_0_3921]) ).

cnf(refute_0_3923,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = product(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),bigC(a,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(bigC(a,a,bigC(c,a,b)))),bind(X_18,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3924,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != product(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),bigC(a,a,bigC(c,a,b)))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),product(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),bigC(a,a,bigC(c,a,b)))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_3925,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != product(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),bigC(a,a,bigC(c,a,b)))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_1761,refute_0_3924]) ).

cnf(refute_0_3926,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),product(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),bigC(a,a,bigC(c,a,b)))) )],[refute_0_3923,refute_0_3925]) ).

cnf(refute_0_3927,plain,
    product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,bigC(c,a,b))),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(bigC(c,a,b))),bind(X_45,$fot(a)),bind(X_46,$fot(product(b,c)))]]) ).

cnf(refute_0_3928,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b)))
    | product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_3929,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b)))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) )],[refute_0_3927,refute_0_3928]) ).

cnf(refute_0_3930,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),product(product(a,product(b,c)),bigC(a,a,bigC(c,a,b)))) )],[refute_0_3926,refute_0_3929]) ).

cnf(refute_0_3931,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_123:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3932,plain,
    bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_3933,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))) ),[1,2],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_3934,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))) )],[refute_0_3932,refute_0_3933]) ).

cnf(refute_0_3935,plain,
    bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,c)) )],[refute_0_1765,refute_0_3934]) ).

cnf(refute_0_3936,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_3937,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_3938,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))) )],[refute_0_3936,refute_0_3937]) ).

cnf(refute_0_3939,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,c)) )],[refute_0_1765,refute_0_3938]) ).

cnf(refute_0_3940,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_3941,plain,
    ( bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b)))) )],[refute_0_3939,refute_0_3940]) ).

cnf(refute_0_3942,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c))) )],[refute_0_3935,refute_0_3941]) ).

cnf(refute_0_3943,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(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)) != bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)))),bind(Z,$fot(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_3944,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,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c))) )],[refute_0_3942,refute_0_3943]) ).

cnf(refute_0_3945,plain,
    bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) = bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),
    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_3931,refute_0_3944]) ).

cnf(refute_0_3946,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(b,c),product(a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) ),[0],$fot(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_3947,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(b,c),product(a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))) )],[refute_0_3945,refute_0_3946]) ).

cnf(refute_0_3948,plain,
    bigC(a,product(b,c),product(a,c)) = bigC(a,product(a,c),product(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(a,c))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_3949,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_3950,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_3951,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_3949,refute_0_3950]) ).

cnf(refute_0_3952,plain,
    product(a,bigC(c,a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_3951]) ).

cnf(refute_0_3953,plain,
    bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(a,product(b,c),product(a,bigC(c,a,b))))]]) ).

cnf(refute_0_3954,plain,
    ( bigC(a,product(b,c),product(a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | product(a,bigC(c,a,b)) != product(a,c)
    | bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(b,c),product(a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) ),[1,2],$fot(product(a,c))]]) ).

cnf(refute_0_3955,plain,
    ( product(a,bigC(c,a,b)) != product(a,c)
    | bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) )],[refute_0_3953,refute_0_3954]) ).

cnf(refute_0_3956,plain,
    bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,a,b)),product(a,c)) )],[refute_0_3952,refute_0_3955]) ).

cnf(refute_0_3957,plain,
    ( bigC(a,product(b,c),product(a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,c))
    | bigC(a,product(b,c),product(a,c)) != bigC(a,product(a,c),product(b,c))
    | bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(a,c),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(b,c),product(a,bigC(c,a,b))))),bind(Y,$fot(bigC(a,product(b,c),product(a,c)))),bind(Z,$fot(bigC(a,product(a,c),product(b,c))))]]) ).

cnf(refute_0_3958,plain,
    ( bigC(a,product(b,c),product(a,c)) != bigC(a,product(a,c),product(b,c))
    | bigC(a,product(b,c),product(a,bigC(c,a,b))) = bigC(a,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,bigC(c,a,b))),bigC(a,product(b,c),product(a,c))) )],[refute_0_3956,refute_0_3957]) ).

cnf(refute_0_3959,plain,
    bigC(a,product(b,c),product(a,bigC(c,a,b))) = 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_3948,refute_0_3958]) ).

cnf(refute_0_3960,plain,
    ( bigC(a,product(b,c),product(a,bigC(c,a,b))) != bigC(a,product(a,c),product(b,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,product(b,c),product(a,bigC(c,a,b)))) ),[1],$fot(bigC(a,product(a,c),product(b,c)))]]) ).

cnf(refute_0_3961,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,bigC(c,a,b))),bigC(a,product(a,c),product(b,c))) )],[refute_0_3959,refute_0_3960]) ).

cnf(refute_0_3962,plain,
    ( bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))) != bigC(a,product(b,c),product(a,bigC(c,a,b)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,product(b,c),product(a,bigC(c,a,b)))) )],[refute_0_3947,refute_0_3961]) ).

cnf(refute_0_3963,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,bigC(c,a,b)),bigC(b,a,b),bigC(a,a,bigC(c,a,b))),bigC(a,product(b,c),product(a,bigC(c,a,b)))) )],[refute_0_3930,refute_0_3962]) ).

cnf(refute_0_3964,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_85:[bind(X_18,$fot(bigC(a,a,c))),bind(X_19,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3965,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)) != product(c,product(c,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),product(c,product(c,a))) ),
    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(product(c,product(c,a)))]]) ).

cnf(refute_0_3966,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),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_3965]) ).

cnf(refute_0_3967,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),product(c,product(c,a))),
    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_3964,refute_0_3966]) ).

cnf(refute_0_3968,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,product(a,c),product(b,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),product(c,product(c,a)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),product(c,product(c,a)))) ),[0],$fot(bigC(a,product(a,c),product(b,c)))]]) ).

cnf(refute_0_3969,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),product(c,product(c,a)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,product(a,c),product(b,c))) )],[refute_0_3963,refute_0_3968]) ).

cnf(refute_0_3970,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_3971,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_3972,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_3970,refute_0_3971]) ).

cnf(refute_0_3973,plain,
    bigC(a,c,product(c,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_3972]) ).

cnf(refute_0_3974,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_3975,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_3976,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_3974,refute_0_3975]) ).

cnf(refute_0_3977,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_479,refute_0_3976]) ).

cnf(refute_0_3978,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_32:[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_3979,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_3977,refute_0_3978]) ).

cnf(refute_0_3980,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_3973,refute_0_3979]) ).

cnf(refute_0_3981,plain,
    bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(product(product(X_25,X_26),B),product(product(X_23,X_24),product(X_25,X_26))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(X_25,X_26))),bind(C,$fot(product(X_23,X_24)))]]) ).

cnf(refute_0_3982,plain,
    ( bigC(product(X_25,X_26),B,product(X_23,X_24)) != product(product(product(X_25,X_26),B),product(product(X_23,X_24),product(X_25,X_26)))
    | product(product(X_23,X_24),product(X_25,X_26)) != product(product(X_23,X_25),product(X_24,X_26))
    | bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_25,X_26),B,product(X_23,X_24)),product(product(product(X_25,X_26),B),product(product(X_23,X_24),product(X_25,X_26)))) ),[1,1],$fot(product(product(X_23,X_25),product(X_24,X_26)))]]) ).

cnf(refute_0_3983,plain,
    ( bigC(product(X_25,X_26),B,product(X_23,X_24)) != product(product(product(X_25,X_26),B),product(product(X_23,X_24),product(X_25,X_26)))
    | bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,X_26)),product(product(X_23,X_25),product(X_24,X_26))) )],[refute_0_134,refute_0_3982]) ).

cnf(refute_0_3984,plain,
    bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))),
    inference(resolve,[$cnf( $equal(bigC(product(X_25,X_26),B,product(X_23,X_24)),product(product(product(X_25,X_26),B),product(product(X_23,X_24),product(X_25,X_26)))) )],[refute_0_3981,refute_0_3983]) ).

cnf(refute_0_3985,plain,
    product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))) = product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))),
    inference(subst,[],[refute_0_806:[bind(A,$fot(X_25)),bind(B,$fot(X_26)),bind(C,$fot(X_23)),bind(X_25,$fot(B)),bind(X_26,$fot(product(X_24,X_26)))]]) ).

cnf(refute_0_3986,plain,
    ( bigC(product(X_25,X_26),B,product(X_23,X_24)) != product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26)))
    | product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))) != product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))
    | bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_25,X_26),B,product(X_23,X_24)),product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))) ),[0],$fot(product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))))]]) ).

cnf(refute_0_3987,plain,
    ( bigC(product(X_25,X_26),B,product(X_23,X_24)) != product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26)))
    | bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26))),product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))) )],[refute_0_3985,refute_0_3986]) ).

cnf(refute_0_3988,plain,
    bigC(product(X_25,X_26),B,product(X_23,X_24)) = product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))),
    inference(resolve,[$cnf( $equal(bigC(product(X_25,X_26),B,product(X_23,X_24)),product(product(product(X_25,X_26),B),product(product(X_23,X_25),product(X_24,X_26)))) )],[refute_0_3984,refute_0_3987]) ).

cnf(refute_0_3989,plain,
    ( bigC(product(X_25,X_26),B,product(X_23,X_24)) != product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))
    | product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))) = bigC(product(X_25,X_26),B,product(X_23,X_24)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(X_25,X_26),B,product(X_23,X_24)))),bind(Y,$fot(product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))))]]) ).

cnf(refute_0_3990,plain,
    product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26))) = bigC(product(X_25,X_26),B,product(X_23,X_24)),
    inference(resolve,[$cnf( $equal(bigC(product(X_25,X_26),B,product(X_23,X_24)),product(bigC(X_25,X_26,X_23),product(B,product(X_24,X_26)))) )],[refute_0_3988,refute_0_3989]) ).

cnf(refute_0_3991,plain,
    product(bigC(a,a,c),product(c,product(c,a))) = bigC(product(a,a),c,product(c,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(c)),bind(X_23,$fot(c)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_3992,plain,
    ( bigC(product(a,a),c,product(c,c)) != bigC(a,c,c)
    | 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,c,c) ),
    inference(subst,[],[refute_0_32:[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,c,c)))]]) ).

cnf(refute_0_3993,plain,
    ( bigC(product(a,a),c,product(c,c)) != bigC(a,c,c)
    | product(bigC(a,a,c),product(c,product(c,a))) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,product(c,a))),bigC(product(a,a),c,product(c,c))) )],[refute_0_3991,refute_0_3992]) ).

cnf(refute_0_3994,plain,
    product(bigC(a,a,c),product(c,product(c,a))) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(a,c,c)) )],[refute_0_3980,refute_0_3993]) ).

cnf(refute_0_3995,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),product(c,product(c,a)))
    | product(bigC(a,a,c),product(c,product(c,a))) != bigC(a,c,c)
    | bigC(a,product(a,c),product(b,c)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(a,c),product(b,c)),bigC(a,c,c)) ),[0],$fot(product(bigC(a,a,c),product(c,product(c,a))))]]) ).

cnf(refute_0_3996,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),product(c,product(c,a)))
    | bigC(a,product(a,c),product(b,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,product(c,a))),bigC(a,c,c)) )],[refute_0_3994,refute_0_3995]) ).

cnf(refute_0_3997,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),product(c,product(c,a)))
    | bigC(a,product(a,c),product(b,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),product(bigC(a,a,c),product(c,product(c,a)))) )],[refute_0_3969,refute_0_3996]) ).

cnf(refute_0_3998,plain,
    bigC(a,product(a,c),product(b,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),product(c,product(c,a)))) )],[refute_0_3967,refute_0_3997]) ).

cnf(refute_0_3999,plain,
    ( bigC(a,product(a,c),product(b,c)) != bigC(a,c,c)
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,product(a,c),product(b,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,product(a,c),product(b,c))) ),[1],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_4000,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,product(a,c),product(b,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),bigC(a,c,c)) )],[refute_0_3998,refute_0_3999]) ).

cnf(refute_0_4001,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,product(a,c),product(b,c))) )],[refute_0_3963,refute_0_4000]) ).

cnf(refute_0_4002,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,c,c)
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,c,c)) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4003,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,c,c)
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_1941,refute_0_4002]) ).

cnf(refute_0_4004,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,c,c)) )],[refute_0_4001,refute_0_4003]) ).

cnf(refute_0_4005,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_4006,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,a,b)
    | 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(bigC(a,a,b),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(bigC(a,a,b))]]) ).

cnf(refute_0_4007,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != bigC(a,a,b)
    | product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(bigC(a,a,b),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_4005,refute_0_4006]) ).

cnf(refute_0_4008,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,b)) )],[refute_0_4004,refute_0_4007]) ).

cnf(refute_0_4009,plain,
    ( bigC(a,c,product(c,a)) != 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(a,a,b),bigC(a,a,c))
    | bigC(a,c,product(c,a)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,product(c,a)),product(bigC(a,a,b),bigC(a,a,c))) ),[0],$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_4010,plain,
    ( bigC(a,c,product(c,a)) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | bigC(a,c,product(c,a)) = product(bigC(a,a,b),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(a,a,b),bigC(a,a,c))) )],[refute_0_4008,refute_0_4009]) ).

cnf(refute_0_4011,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | bigC(a,c,product(c,a)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_3922,refute_0_4010]) ).

cnf(refute_0_4012,plain,
    bigC(a,c,product(c,a)) = product(bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(c,product(c,a))),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_3875,refute_0_4011]) ).

cnf(refute_0_4013,plain,
    ( bigC(a,c,product(c,a)) != product(bigC(a,a,b),bigC(a,a,c))
    | product(bigC(a,a,b),bigC(a,a,c)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,c,product(c,a)))),bind(Y,$fot(product(bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_4014,plain,
    product(bigC(a,a,b),bigC(a,a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),product(bigC(a,a,b),bigC(a,a,c))) )],[refute_0_4012,refute_0_4013]) ).

cnf(refute_0_4015,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,b),product(X_25,bigC(a,a,c))) != product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(a,a,c)))
    | product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(a,a,c))),product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_4016,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(a,a,c))) != product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(a,a,c)))
    | product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = product(product(bigC(a,a,b),X_25),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_4014,refute_0_4015]) ).

cnf(refute_0_4017,plain,
    product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(a,a,c))),product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(a,a,c)))) )],[refute_0_3871,refute_0_4016]) ).

cnf(refute_0_4018,plain,
    bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4019,plain,
    ( bigC(bigC(a,a,b),B,product(c,a)) != product(product(bigC(a,a,b),B),product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),B,product(c,a)),product(product(bigC(a,a,b),B),product(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_4020,plain,
    ( bigC(bigC(a,a,b),B,product(c,a)) != product(product(bigC(a,a,b),B),product(product(c,a),bigC(a,a,b)))
    | bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),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_2171,refute_0_4019]) ).

cnf(refute_0_4021,plain,
    bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(c,a)),product(product(bigC(a,a,b),B),product(product(c,a),bigC(a,a,b)))) )],[refute_0_4018,refute_0_4020]) ).

cnf(refute_0_4022,plain,
    product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_4023,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) != product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))
    | product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))),product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_4024,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))),product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))) )],[refute_0_4022,refute_0_4023]) ).

cnf(refute_0_4025,plain,
    product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),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_2295,refute_0_4024]) ).

cnf(refute_0_4026,plain,
    ( bigC(bigC(a,a,b),B,product(c,a)) != product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))
    | product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))
    | bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),B,product(c,a)),product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))) ),[0],$fot(product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_4027,plain,
    ( bigC(bigC(a,a,b),B,product(c,a)) != product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))
    | bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(c,a,product(c,a))),product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))) )],[refute_0_4025,refute_0_4026]) ).

cnf(refute_0_4028,plain,
    bigC(bigC(a,a,b),B,product(c,a)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(c,a)),product(product(bigC(a,a,b),B),bigC(c,a,product(c,a)))) )],[refute_0_4021,refute_0_4027]) ).

cnf(refute_0_4029,plain,
    ( bigC(bigC(a,a,b),B,product(c,a)) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) = bigC(bigC(a,a,b),B,product(c,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(bigC(a,a,b),B,product(c,a)))),bind(Y,$fot(product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))))]]) ).

cnf(refute_0_4030,plain,
    product(product(bigC(a,a,b),B),bigC(a,c,product(c,a))) = bigC(bigC(a,a,b),B,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(c,a)),product(product(bigC(a,a,b),B),bigC(a,c,product(c,a)))) )],[refute_0_4028,refute_0_4029]) ).

cnf(refute_0_4031,plain,
    product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))) = bigC(bigC(a,a,b),X_25,product(c,a)),
    inference(subst,[],[refute_0_4030:[bind(B,$fot(X_25))]]) ).

cnf(refute_0_4032,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(a,a,c))) != product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a)))
    | product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))) != bigC(bigC(a,a,b),X_25,product(c,a))
    | product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = bigC(bigC(a,a,b),X_25,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(X_25,bigC(a,a,c))),bigC(bigC(a,a,b),X_25,product(c,a))) ),[0],$fot(product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_4033,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(a,a,c))) != product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a)))
    | product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = bigC(bigC(a,a,b),X_25,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a))),bigC(bigC(a,a,b),X_25,product(c,a))) )],[refute_0_4031,refute_0_4032]) ).

cnf(refute_0_4034,plain,
    product(bigC(a,a,b),product(X_25,bigC(a,a,c))) = bigC(bigC(a,a,b),X_25,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(a,a,c))),product(product(bigC(a,a,b),X_25),bigC(a,c,product(c,a)))) )],[refute_0_4017,refute_0_4033]) ).

cnf(refute_0_4035,plain,
    product(bigC(a,a,b),product(b,bigC(a,a,c))) = bigC(bigC(a,a,b),b,product(c,a)),
    inference(subst,[],[refute_0_4034:[bind(X_25,$fot(b))]]) ).

cnf(refute_0_4036,plain,
    ( product(bigC(a,a,b),product(b,bigC(a,a,c))) != bigC(bigC(a,a,b),b,product(c,a))
    | product(bigC(a,a,b),product(b,bigC(a,a,c))) != product(c,bigC(a,b,product(b,a)))
    | bigC(bigC(a,a,b),b,product(c,a)) = product(c,bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(b,bigC(a,a,c))),product(c,bigC(a,b,product(b,a)))) ),[0],$fot(bigC(bigC(a,a,b),b,product(c,a)))]]) ).

cnf(refute_0_4037,plain,
    ( product(bigC(a,a,b),product(b,bigC(a,a,c))) != product(c,bigC(a,b,product(b,a)))
    | bigC(bigC(a,a,b),b,product(c,a)) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,bigC(a,a,c))),bigC(bigC(a,a,b),b,product(c,a))) )],[refute_0_4035,refute_0_4036]) ).

cnf(refute_0_4038,plain,
    bigC(bigC(a,a,b),b,product(c,a)) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,bigC(a,a,c))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_3870,refute_0_4037]) ).

cnf(refute_0_4039,plain,
    bigC(quotient(A,X_18),X_18,X_19) = product(product(quotient(A,X_18),X_18),product(X_19,quotient(A,X_18))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(quotient(A,X_18))),bind(B,$fot(X_18)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_4040,plain,
    product(quotient(A,X_18),X_18) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_4041,plain,
    ( bigC(quotient(A,X_18),X_18,X_19) != product(product(quotient(A,X_18),X_18),product(X_19,quotient(A,X_18)))
    | product(quotient(A,X_18),X_18) != A
    | bigC(quotient(A,X_18),X_18,X_19) = product(A,product(X_19,quotient(A,X_18))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(A,X_18),X_18,X_19),product(product(quotient(A,X_18),X_18),product(X_19,quotient(A,X_18)))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_4042,plain,
    ( bigC(quotient(A,X_18),X_18,X_19) != product(product(quotient(A,X_18),X_18),product(X_19,quotient(A,X_18)))
    | bigC(quotient(A,X_18),X_18,X_19) = product(A,product(X_19,quotient(A,X_18))) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_18),X_18),A) )],[refute_0_4040,refute_0_4041]) ).

cnf(refute_0_4043,plain,
    bigC(quotient(A,X_18),X_18,X_19) = product(A,product(X_19,quotient(A,X_18))),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_18),X_18,X_19),product(product(quotient(A,X_18),X_18),product(X_19,quotient(A,X_18)))) )],[refute_0_4039,refute_0_4042]) ).

cnf(refute_0_4044,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(product(c,bigC(a,a,c)))),bind(X_18,$fot(product(c,a)))]]) ).

cnf(refute_0_4045,plain,
    quotient(bigC(product(c,a),product(c,a),c),product(c,a)) = product(product(c,a),c),
    inference(subst,[],[refute_0_250:[bind(B,$fot(product(c,a))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_4046,plain,
    bigC(quotient(bigC(a,a,b),c),c,X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(bigC(a,a,b))),bind(X_18,$fot(c)),bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_4047,plain,
    quotient(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) = product(c,a),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(c,a))),bind(X_8,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4048,plain,
    quotient(product(difference(product(c,a),bigC(a,a,b)),a),a) = difference(product(c,a),bigC(a,a,b)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(difference(product(c,a),bigC(a,a,b)))),bind(B,$fot(a))]]) ).

cnf(refute_0_4049,plain,
    difference(product(a,c),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) = product(difference(product(c,a),bigC(a,a,b)),a),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(a)),bind(X_18,$fot(c)),bind(X_19,$fot(difference(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_4050,plain,
    product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_24,$fot(a)),bind(X_26,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_4051,plain,
    product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)),
    inference(subst,[],[refute_0_489:[bind(B,$fot(bigC(B,B,X_41))),bind(X_15,$fot(product(B,X_41)))]]) ).

cnf(refute_0_4052,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) ),[0,1,1,0],$fot(B)]]) ).

cnf(refute_0_4053,plain,
    ( product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)) ),
    inference(resolve,[$cnf( $equal(difference(product(B,X_41),bigC(B,B,X_41)),B) )],[refute_0_500,refute_0_4052]) ).

cnf(refute_0_4054,plain,
    product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) )],[refute_0_4051,refute_0_4053]) ).

cnf(refute_0_4055,plain,
    product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) = product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))),
    introduced(tautology,[refl,[$fot(product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))]]) ).

cnf(refute_0_4056,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) != product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))
    | product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) = product(B,product(B,product(B,X_41))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_4057,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) = product(B,product(B,product(B,X_41))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) )],[refute_0_4055,refute_0_4056]) ).

cnf(refute_0_4058,plain,
    product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) = product(B,product(B,product(B,X_41))),
    inference(resolve,[$cnf( $equal(difference(product(B,X_41),bigC(B,B,X_41)),B) )],[refute_0_500,refute_0_4057]) ).

cnf(refute_0_4059,plain,
    product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))))]]) ).

cnf(refute_0_4060,plain,
    ( product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) != product(B,product(B,product(B,X_41)))
    | product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))) ),[1,1],$fot(product(B,product(B,product(B,X_41))))]]) ).

cnf(refute_0_4061,plain,
    ( product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))) != product(B,product(B,product(B,X_41)))
    | product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))) )],[refute_0_4059,refute_0_4060]) ).

cnf(refute_0_4062,plain,
    product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))),
    inference(resolve,[$cnf( $equal(product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))),product(B,product(B,product(B,X_41)))) )],[refute_0_4058,refute_0_4061]) ).

cnf(refute_0_4063,plain,
    product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) = product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),
    introduced(tautology,[refl,[$fot(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))))]]) ).

cnf(refute_0_4064,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) != product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41)))
    | product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) = product(bigC(B,B,X_41),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_4065,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) = product(bigC(B,B,X_41),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41)))) )],[refute_0_4063,refute_0_4064]) ).

cnf(refute_0_4066,plain,
    product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) = product(bigC(B,B,X_41),B),
    inference(resolve,[$cnf( $equal(difference(product(B,X_41),bigC(B,B,X_41)),B) )],[refute_0_500,refute_0_4065]) ).

cnf(refute_0_4067,plain,
    product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))))]]) ).

cnf(refute_0_4068,plain,
    ( product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) != product(bigC(B,B,X_41),B)
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))) ),[1,0],$fot(product(bigC(B,B,X_41),B))]]) ).

cnf(refute_0_4069,plain,
    ( product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))) != product(bigC(B,B,X_41),B)
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))) )],[refute_0_4067,refute_0_4068]) ).

cnf(refute_0_4070,plain,
    product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),
    inference(resolve,[$cnf( $equal(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(bigC(B,B,X_41),B)) )],[refute_0_4066,refute_0_4069]) ).

cnf(refute_0_4071,plain,
    ( product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))))),bind(Y,$fot(product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))))),bind(Z,$fot(product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))))]]) ).

cnf(refute_0_4072,plain,
    ( product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41))))) )],[refute_0_4070,refute_0_4071]) ).

cnf(refute_0_4073,plain,
    product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) = product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),B),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))) )],[refute_0_4062,refute_0_4072]) ).

cnf(refute_0_4074,plain,
    ( product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) ),[0],$fot(product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))))]]) ).

cnf(refute_0_4075,plain,
    ( product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = difference(product(B,X_41),bigC(B,B,X_41)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41))))) )],[refute_0_4073,refute_0_4074]) ).

cnf(refute_0_4076,plain,
    ( difference(product(B,X_41),bigC(B,B,X_41)) != B
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = B ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) ),[1],$fot(B)]]) ).

cnf(refute_0_4077,plain,
    ( product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = B ),
    inference(resolve,[$cnf( $equal(difference(product(B,X_41),bigC(B,B,X_41)),B) )],[refute_0_500,refute_0_4076]) ).

cnf(refute_0_4078,plain,
    ( product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))) != difference(product(B,X_41),bigC(B,B,X_41))
    | product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = B ),
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) )],[refute_0_4075,refute_0_4077]) ).

cnf(refute_0_4079,plain,
    product(product(bigC(B,B,X_41),B),product(B,product(B,product(B,X_41)))) = B,
    inference(resolve,[$cnf( $equal(product(product(bigC(B,B,X_41),difference(product(B,X_41),bigC(B,B,X_41))),product(difference(product(B,X_41),bigC(B,B,X_41)),product(B,product(B,X_41)))),difference(product(B,X_41),bigC(B,B,X_41))) )],[refute_0_4054,refute_0_4078]) ).

cnf(refute_0_4080,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b))))) = bigC(a,a,b),
    inference(subst,[],[refute_0_4079:[bind(B,$fot(bigC(a,a,b))),bind(X_41,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_4081,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(product(a,b),bigC(product(a,b),product(b,c),product(a,b))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(b,c))),bind(X_35,$fot(product(a,b)))]]) ).

cnf(refute_0_4082,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_4083,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_4084,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_4082,refute_0_4083]) ).

cnf(refute_0_4085,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_2512,refute_0_4084]) ).

cnf(refute_0_4086,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_4087,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_4085,refute_0_4086]) ).

cnf(refute_0_4088,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_1318,refute_0_4087]) ).

cnf(refute_0_4089,plain,
    product(product(c,C),bigC(b,a,b)) = bigC(product(c,b),C,c),
    inference(subst,[],[refute_0_1438:[bind(B,$fot(C))]]) ).

cnf(refute_0_4090,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(product(c,b),C,c)
    | bigC(product(a,b),product(b,c),C) = bigC(product(c,b),C,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(b,c),C),bigC(product(c,b),C,c)) ),[0],$fot(product(product(c,C),bigC(b,a,b)))]]) ).

cnf(refute_0_4091,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(product(c,b),C,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,C),bigC(b,a,b)),bigC(product(c,b),C,c)) )],[refute_0_4089,refute_0_4090]) ).

cnf(refute_0_4092,plain,
    bigC(product(a,b),product(b,c),C) = bigC(product(c,b),C,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),C),product(product(c,C),bigC(b,a,b))) )],[refute_0_4088,refute_0_4091]) ).

cnf(refute_0_4093,plain,
    bigC(product(c,b),C,c) = bigC(c,C,product(c,b)),
    inference(subst,[],[refute_0_1473:[bind(X_18,$fot(C))]]) ).

cnf(refute_0_4094,plain,
    ( bigC(product(a,b),product(b,c),C) != bigC(product(c,b),C,c)
    | bigC(product(c,b),C,c) != 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(bigC(product(c,b),C,c))]]) ).

cnf(refute_0_4095,plain,
    ( bigC(product(a,b),product(b,c),C) != bigC(product(c,b),C,c)
    | bigC(product(a,b),product(b,c),C) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,c),bigC(c,C,product(c,b))) )],[refute_0_4093,refute_0_4094]) ).

cnf(refute_0_4096,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),bigC(product(c,b),C,c)) )],[refute_0_4092,refute_0_4095]) ).

cnf(refute_0_4097,plain,
    bigC(product(a,b),product(b,c),product(a,b)) = bigC(c,product(a,b),product(c,b)),
    inference(subst,[],[refute_0_4096:[bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4098,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,b),bigC(product(a,b),product(b,c),product(a,b)))
    | bigC(product(a,b),product(b,c),product(a,b)) != bigC(c,product(a,b),product(c,b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(product(a,b),bigC(c,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(product(a,b),bigC(product(a,b),product(b,c),product(a,b)))) ),[1,1],$fot(bigC(c,product(a,b),product(c,b)))]]) ).

cnf(refute_0_4099,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,b),bigC(product(a,b),product(b,c),product(a,b)))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(product(a,b),bigC(c,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),product(a,b)),bigC(c,product(a,b),product(c,b))) )],[refute_0_4097,refute_0_4098]) ).

cnf(refute_0_4100,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(product(a,b),bigC(c,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(product(a,b),bigC(product(a,b),product(b,c),product(a,b)))) )],[refute_0_4081,refute_0_4099]) ).

cnf(refute_0_4101,plain,
    bigC(c,c,quotient(b,c)) = product(product(c,c),b),
    inference(subst,[],[refute_0_256:[bind(A,$fot(b)),bind(X_17,$fot(c)),bind(X_18,$fot(c))]]) ).

cnf(refute_0_4102,plain,
    product(c,product(quotient(b,c),c)) = bigC(c,c,quotient(b,c)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(quotient(b,c)))]]) ).

cnf(refute_0_4103,plain,
    ( bigC(c,c,quotient(b,c)) != product(product(c,c),b)
    | product(c,product(quotient(b,c),c)) != bigC(c,c,quotient(b,c))
    | product(c,product(quotient(b,c),c)) = product(product(c,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(quotient(b,c),c)))),bind(Y,$fot(bigC(c,c,quotient(b,c)))),bind(Z,$fot(product(product(c,c),b)))]]) ).

cnf(refute_0_4104,plain,
    ( bigC(c,c,quotient(b,c)) != product(product(c,c),b)
    | product(c,product(quotient(b,c),c)) = product(product(c,c),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),c)),bigC(c,c,quotient(b,c))) )],[refute_0_4102,refute_0_4103]) ).

cnf(refute_0_4105,plain,
    product(c,product(quotient(b,c),c)) = product(product(c,c),b),
    inference(resolve,[$cnf( $equal(bigC(c,c,quotient(b,c)),product(product(c,c),b)) )],[refute_0_4101,refute_0_4104]) ).

cnf(refute_0_4106,plain,
    product(difference(b,product(c,b)),product(c,X_26)) = product(product(difference(b,product(c,b)),c),product(difference(b,product(c,b)),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(difference(b,product(c,b)))),bind(X_25,$fot(c))]]) ).

cnf(refute_0_4107,plain,
    bigC(c,quotient(b,c),c) = product(product(c,quotient(b,c)),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(quotient(b,c)))]]) ).

cnf(refute_0_4108,plain,
    difference(quotient(product(a,b),product(c,quotient(b,c))),product(a,b)) = product(c,quotient(b,c)),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(c,quotient(b,c)))),bind(X_11,$fot(product(a,b)))]]) ).

cnf(refute_0_4109,plain,
    quotient(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,a,b))) = bigC(c,a,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(quotient(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_4110,plain,
    quotient(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)) = product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(bigC(c,a,b))),bind(X_44,$fot(product(c,b)))]]) ).

cnf(refute_0_4111,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | quotient(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)) != product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(c,a,b)) = product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)),product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4112,plain,
    ( quotient(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)) != product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(c,a,b)) = product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_215,refute_0_4111]) ).

cnf(refute_0_4113,plain,
    quotient(product(product(c,a),b),bigC(c,a,b)) = product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)),product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))) )],[refute_0_4110,refute_0_4112]) ).

cnf(refute_0_4114,plain,
    ( quotient(product(product(c,a),b),bigC(c,a,b)) != product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))
    | product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(product(c,a),b),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(product(product(c,a),b),bigC(c,a,b)))),bind(Y,$fot(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_4115,plain,
    product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(product(c,a),b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b)))) )],[refute_0_4113,refute_0_4114]) ).

cnf(refute_0_4116,plain,
    ( product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))) != quotient(product(product(c,a),b),bigC(c,a,b))
    | quotient(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,a,b))),bigC(c,a,b)) ),[0,0],$fot(quotient(product(product(c,a),b),bigC(c,a,b)))]]) ).

cnf(refute_0_4117,plain,
    ( quotient(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(product(c,a),b),bigC(c,a,b))) )],[refute_0_4115,refute_0_4116]) ).

cnf(refute_0_4118,plain,
    quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,a,b))),bigC(c,a,b)) )],[refute_0_4109,refute_0_4117]) ).

cnf(refute_0_4119,plain,
    quotient(product(c,b),bigC(c,a,b)) = quotient(product(c,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_4120,plain,
    ( bigC(c,a,b) != c
    | quotient(product(c,b),bigC(c,a,b)) != quotient(product(c,b),bigC(c,a,b))
    | quotient(product(c,b),bigC(c,a,b)) = quotient(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4121,plain,
    ( bigC(c,a,b) != c
    | quotient(product(c,b),bigC(c,a,b)) = quotient(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) )],[refute_0_4119,refute_0_4120]) ).

cnf(refute_0_4122,plain,
    quotient(product(c,b),bigC(c,a,b)) = quotient(product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4121]) ).

cnf(refute_0_4123,plain,
    ( quotient(product(c,b),bigC(c,a,b)) != quotient(product(c,b),c)
    | quotient(product(c,b),c) != product(c,quotient(b,c))
    | quotient(product(c,b),bigC(c,a,b)) = product(c,quotient(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,b),bigC(c,a,b)))),bind(Y,$fot(quotient(product(c,b),c))),bind(Z,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_4124,plain,
    ( quotient(product(c,b),c) != product(c,quotient(b,c))
    | quotient(product(c,b),bigC(c,a,b)) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,a,b)),quotient(product(c,b),c)) )],[refute_0_4122,refute_0_4123]) ).

cnf(refute_0_4125,plain,
    quotient(product(c,b),bigC(c,a,b)) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),product(c,quotient(b,c))) )],[refute_0_1811,refute_0_4124]) ).

cnf(refute_0_4126,plain,
    quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_4127,plain,
    ( quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) != quotient(product(a,b),quotient(product(c,b),bigC(c,a,b)))
    | quotient(product(c,b),bigC(c,a,b)) != product(c,quotient(b,c))
    | quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(a,b),quotient(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(product(c,quotient(b,c)))]]) ).

cnf(refute_0_4128,plain,
    ( quotient(product(c,b),bigC(c,a,b)) != product(c,quotient(b,c))
    | quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(a,b),quotient(product(c,b),bigC(c,a,b)))) )],[refute_0_4126,refute_0_4127]) ).

cnf(refute_0_4129,plain,
    quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,a,b)),product(c,quotient(b,c))) )],[refute_0_4125,refute_0_4128]) ).

cnf(refute_0_4130,plain,
    quotient(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(b,a,bigC(c,a,b))) = product(a,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4131,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | quotient(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(b,a,bigC(c,a,b))) != product(a,b)
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(b,a,bigC(c,a,b))),product(a,b)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4132,plain,
    ( quotient(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(b,a,bigC(c,a,b))) != product(a,b)
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_4131]) ).

cnf(refute_0_4133,plain,
    quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(b,a,bigC(c,a,b))),product(a,b)) )],[refute_0_4130,refute_0_4132]) ).

cnf(refute_0_4134,plain,
    quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4135,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b)))
    | quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_4136,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_4134,refute_0_4135]) ).

cnf(refute_0_4137,plain,
    quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_4136]) ).

cnf(refute_0_4138,plain,
    quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4139,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) != quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_4140,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_4138,refute_0_4139]) ).

cnf(refute_0_4141,plain,
    quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_4140]) ).

cnf(refute_0_4142,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,a,c))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))))),bind(Y,$fot(quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))))),bind(Z,$fot(quotient(product(c,product(c,b)),bigC(b,a,c))))]]) ).

cnf(refute_0_4143,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,a,c))
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_4141,refute_0_4142]) ).

cnf(refute_0_4144,plain,
    quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,a,c))) )],[refute_0_4137,refute_0_4143]) ).

cnf(refute_0_4145,plain,
    ( quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) != product(a,b)
    | quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,a,c))
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),product(a,b)) ),[0],$fot(quotient(product(c,product(c,b)),bigC(b,a,c)))]]) ).

cnf(refute_0_4146,plain,
    ( quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))) != product(a,b)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,a,c))) )],[refute_0_4144,refute_0_4145]) ).

cnf(refute_0_4147,plain,
    quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,a,bigC(c,a,b))),product(a,b)) )],[refute_0_4133,refute_0_4146]) ).

cnf(refute_0_4148,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_4149,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_4150,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_4148,refute_0_4149]) ).

cnf(refute_0_4151,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_2738,refute_0_4150]) ).

cnf(refute_0_4152,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,c)) != quotient(product(c,product(c,b)),c)
    | quotient(product(c,product(c,b)),c) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = difference(product(b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,b)),bigC(b,a,c)))),bind(Y,$fot(quotient(product(c,product(c,b)),c))),bind(Z,$fot(difference(product(b,c),c)))]]) ).

cnf(refute_0_4153,plain,
    ( quotient(product(c,product(c,b)),c) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = difference(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),quotient(product(c,product(c,b)),c)) )],[refute_0_4151,refute_0_4152]) ).

cnf(refute_0_4154,plain,
    quotient(product(c,product(c,b)),bigC(b,a,c)) = difference(product(b,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),difference(product(b,c),c)) )],[refute_0_1822,refute_0_4153]) ).

cnf(refute_0_4155,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,c)) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) != product(a,b)
    | difference(product(b,c),c) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),product(a,b)) ),[0],$fot(difference(product(b,c),c))]]) ).

cnf(refute_0_4156,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,c)) != product(a,b)
    | difference(product(b,c),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),difference(product(b,c),c)) )],[refute_0_4154,refute_0_4155]) ).

cnf(refute_0_4157,plain,
    difference(product(b,c),c) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),product(a,b)) )],[refute_0_4147,refute_0_4156]) ).

cnf(refute_0_4158,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_32:[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_4159,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_1810,refute_0_4158]) ).

cnf(refute_0_4160,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_4157,refute_0_4159]) ).

cnf(refute_0_4161,plain,
    ( product(c,product(c,quotient(b,c))) != product(a,b)
    | product(c,quotient(product(c,b),c)) != product(c,product(c,quotient(b,c)))
    | product(c,quotient(product(c,b),c)) = product(a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(product(c,b),c)))),bind(Y,$fot(product(c,product(c,quotient(b,c))))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_4162,plain,
    ( product(c,product(c,quotient(b,c))) != product(a,b)
    | product(c,quotient(product(c,b),c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,b),c)),product(c,product(c,quotient(b,c)))) )],[refute_0_1815,refute_0_4161]) ).

cnf(refute_0_4163,plain,
    product(c,quotient(product(c,b),c)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(b,c))),product(a,b)) )],[refute_0_4160,refute_0_4162]) ).

cnf(refute_0_4164,plain,
    ( product(c,quotient(product(c,b),c)) != product(a,b)
    | quotient(product(c,product(c,b)),c) != product(c,quotient(product(c,b),c))
    | quotient(product(c,product(c,b)),c) = product(a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,b)),c))),bind(Y,$fot(product(c,quotient(product(c,b),c)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_4165,plain,
    ( product(c,quotient(product(c,b),c)) != product(a,b)
    | quotient(product(c,product(c,b)),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),product(c,quotient(product(c,b),c))) )],[refute_0_1819,refute_0_4164]) ).

cnf(refute_0_4166,plain,
    quotient(product(c,product(c,b)),c) = product(a,b),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,b),c)),product(a,b)) )],[refute_0_4163,refute_0_4165]) ).

cnf(refute_0_4167,plain,
    quotient(product(c,product(c,b)),bigC(c,a,b)) = quotient(product(c,product(c,b)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(c,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_4168,plain,
    ( bigC(c,a,b) != c
    | quotient(product(c,product(c,b)),bigC(c,a,b)) != quotient(product(c,product(c,b)),bigC(c,a,b))
    | quotient(product(c,product(c,b)),bigC(c,a,b)) = quotient(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(c,a,b)),quotient(product(c,product(c,b)),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4169,plain,
    ( bigC(c,a,b) != c
    | quotient(product(c,product(c,b)),bigC(c,a,b)) = quotient(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(c,a,b)),quotient(product(c,product(c,b)),bigC(c,a,b))) )],[refute_0_4167,refute_0_4168]) ).

cnf(refute_0_4170,plain,
    quotient(product(c,product(c,b)),bigC(c,a,b)) = quotient(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4169]) ).

cnf(refute_0_4171,plain,
    quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(product(c,a),b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),bigC(c,a,b)))]]) ).

cnf(refute_0_4172,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(c,a,b)) != quotient(product(product(c,a),b),bigC(c,a,b))
    | quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(product(c,a),b),bigC(c,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_4173,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(product(c,a),b),bigC(c,a,b))) )],[refute_0_4171,refute_0_4172]) ).

cnf(refute_0_4174,plain,
    quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_4173]) ).

cnf(refute_0_4175,plain,
    ( quotient(product(c,product(c,b)),bigC(c,a,b)) != quotient(product(c,product(c,b)),c)
    | quotient(product(product(c,a),b),bigC(c,a,b)) != quotient(product(c,product(c,b)),bigC(c,a,b))
    | quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),bigC(c,a,b)))),bind(Y,$fot(quotient(product(c,product(c,b)),bigC(c,a,b)))),bind(Z,$fot(quotient(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_4176,plain,
    ( quotient(product(c,product(c,b)),bigC(c,a,b)) != quotient(product(c,product(c,b)),c)
    | quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,product(c,b)),bigC(c,a,b))) )],[refute_0_4174,refute_0_4175]) ).

cnf(refute_0_4177,plain,
    quotient(product(product(c,a),b),bigC(c,a,b)) = quotient(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(c,a,b)),quotient(product(c,product(c,b)),c)) )],[refute_0_4170,refute_0_4176]) ).

cnf(refute_0_4178,plain,
    ( quotient(product(c,product(c,b)),c) != product(a,b)
    | quotient(product(product(c,a),b),bigC(c,a,b)) != quotient(product(c,product(c,b)),c)
    | quotient(product(product(c,a),b),bigC(c,a,b)) = product(a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),bigC(c,a,b)))),bind(Y,$fot(quotient(product(c,product(c,b)),c))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_4179,plain,
    ( quotient(product(c,product(c,b)),c) != product(a,b)
    | quotient(product(product(c,a),b),bigC(c,a,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,product(c,b)),c)) )],[refute_0_4177,refute_0_4178]) ).

cnf(refute_0_4180,plain,
    quotient(product(product(c,a),b),bigC(c,a,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),product(a,b)) )],[refute_0_4166,refute_0_4179]) ).

cnf(refute_0_4181,plain,
    quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_4182,plain,
    ( quotient(product(product(c,a),b),bigC(c,a,b)) != product(a,b)
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b)))
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_4183,plain,
    ( quotient(product(product(c,a),b),bigC(c,a,b)) != product(a,b)
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b)))) )],[refute_0_4181,refute_0_4182]) ).

cnf(refute_0_4184,plain,
    quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(c,a,b)),product(a,b)) )],[refute_0_4180,refute_0_4183]) ).

cnf(refute_0_4185,plain,
    ( quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) != quotient(product(a,b),product(c,quotient(b,c)))
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != quotient(product(a,b),quotient(product(c,b),bigC(c,a,b)))
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))))),bind(Y,$fot(quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))))),bind(Z,$fot(quotient(product(a,b),product(c,quotient(b,c)))))]]) ).

cnf(refute_0_4186,plain,
    ( quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))) != quotient(product(a,b),product(c,quotient(b,c)))
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),quotient(product(a,b),quotient(product(c,b),bigC(c,a,b)))) )],[refute_0_4184,refute_0_4185]) ).

cnf(refute_0_4187,plain,
    quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) = quotient(product(a,b),product(c,quotient(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),quotient(product(c,b),bigC(c,a,b))),quotient(product(a,b),product(c,quotient(b,c)))) )],[refute_0_4129,refute_0_4186]) ).

cnf(refute_0_4188,plain,
    ( quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != quotient(product(a,b),product(c,quotient(b,c)))
    | quotient(product(a,b),product(c,quotient(b,c))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),bigC(c,a,b)) ),[0],$fot(quotient(product(a,b),product(c,quotient(b,c))))]]) ).

cnf(refute_0_4189,plain,
    ( quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | quotient(product(a,b),product(c,quotient(b,c))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),quotient(product(a,b),product(c,quotient(b,c)))) )],[refute_0_4187,refute_0_4188]) ).

cnf(refute_0_4190,plain,
    ( bigC(c,a,b) != c
    | quotient(product(a,b),product(c,quotient(b,c))) != bigC(c,a,b)
    | quotient(product(a,b),product(c,quotient(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(c,quotient(b,c))),bigC(c,a,b)) ),[1],$fot(c)]]) ).

cnf(refute_0_4191,plain,
    ( quotient(product(a,b),product(c,quotient(b,c))) != bigC(c,a,b)
    | quotient(product(a,b),product(c,quotient(b,c))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4190]) ).

cnf(refute_0_4192,plain,
    ( quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | quotient(product(a,b),product(c,quotient(b,c))) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(c,quotient(b,c))),bigC(c,a,b)) )],[refute_0_4189,refute_0_4191]) ).

cnf(refute_0_4193,plain,
    quotient(product(a,b),product(c,quotient(b,c))) = c,
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(c,a),b),bigC(c,a,b)),quotient(product(c,b),bigC(c,a,b))),bigC(c,a,b)) )],[refute_0_4118,refute_0_4192]) ).

cnf(refute_0_4194,plain,
    ( difference(quotient(product(a,b),product(c,quotient(b,c))),product(a,b)) != product(c,quotient(b,c))
    | quotient(product(a,b),product(c,quotient(b,c))) != c
    | difference(c,product(a,b)) = product(c,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),product(c,quotient(b,c))),product(a,b)),product(c,quotient(b,c))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_4195,plain,
    ( difference(quotient(product(a,b),product(c,quotient(b,c))),product(a,b)) != product(c,quotient(b,c))
    | difference(c,product(a,b)) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(c,quotient(b,c))),c) )],[refute_0_4193,refute_0_4194]) ).

cnf(refute_0_4196,plain,
    difference(c,product(a,b)) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),product(c,quotient(b,c))),product(a,b)),product(c,quotient(b,c))) )],[refute_0_4108,refute_0_4195]) ).

cnf(refute_0_4197,plain,
    difference(c,product(c,difference(b,product(c,b)))) = difference(b,product(c,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_4198,plain,
    difference(X_59,bigC(X_59,difference(X_59,B),X_59)) = product(difference(X_59,B),X_59),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(X_59)),bind(X_53,$fot(difference(X_59,B)))]]) ).

cnf(refute_0_4199,plain,
    bigC(X_59,difference(X_59,B),X_59) = product(B,product(X_59,X_59)),
    inference(subst,[],[refute_0_98:[bind(X_17,$fot(X_59)),bind(X_19,$fot(X_59))]]) ).

cnf(refute_0_4200,plain,
    ( bigC(X_59,difference(X_59,B),X_59) != product(B,product(X_59,X_59))
    | difference(X_59,bigC(X_59,difference(X_59,B),X_59)) != product(difference(X_59,B),X_59)
    | difference(X_59,product(B,product(X_59,X_59))) = product(difference(X_59,B),X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_59,bigC(X_59,difference(X_59,B),X_59)),product(difference(X_59,B),X_59)) ),[0,1],$fot(product(B,product(X_59,X_59)))]]) ).

cnf(refute_0_4201,plain,
    ( difference(X_59,bigC(X_59,difference(X_59,B),X_59)) != product(difference(X_59,B),X_59)
    | difference(X_59,product(B,product(X_59,X_59))) = product(difference(X_59,B),X_59) ),
    inference(resolve,[$cnf( $equal(bigC(X_59,difference(X_59,B),X_59),product(B,product(X_59,X_59))) )],[refute_0_4199,refute_0_4200]) ).

cnf(refute_0_4202,plain,
    difference(X_59,product(B,product(X_59,X_59))) = product(difference(X_59,B),X_59),
    inference(resolve,[$cnf( $equal(difference(X_59,bigC(X_59,difference(X_59,B),X_59)),product(difference(X_59,B),X_59)) )],[refute_0_4198,refute_0_4201]) ).

cnf(refute_0_4203,plain,
    product(X_59,X_59) = X_59,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_59))]]) ).

cnf(refute_0_4204,plain,
    product(B,product(X_59,X_59)) = product(B,product(X_59,X_59)),
    introduced(tautology,[refl,[$fot(product(B,product(X_59,X_59)))]]) ).

cnf(refute_0_4205,plain,
    ( product(B,product(X_59,X_59)) != product(B,product(X_59,X_59))
    | product(X_59,X_59) != X_59
    | product(B,product(X_59,X_59)) = product(B,X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(X_59,X_59)),product(B,product(X_59,X_59))) ),[1,1],$fot(X_59)]]) ).

cnf(refute_0_4206,plain,
    ( product(X_59,X_59) != X_59
    | product(B,product(X_59,X_59)) = product(B,X_59) ),
    inference(resolve,[$cnf( $equal(product(B,product(X_59,X_59)),product(B,product(X_59,X_59))) )],[refute_0_4204,refute_0_4205]) ).

cnf(refute_0_4207,plain,
    product(B,product(X_59,X_59)) = product(B,X_59),
    inference(resolve,[$cnf( $equal(product(X_59,X_59),X_59) )],[refute_0_4203,refute_0_4206]) ).

cnf(refute_0_4208,plain,
    difference(X_59,product(B,product(X_59,X_59))) = difference(X_59,product(B,product(X_59,X_59))),
    introduced(tautology,[refl,[$fot(difference(X_59,product(B,product(X_59,X_59))))]]) ).

cnf(refute_0_4209,plain,
    ( difference(X_59,product(B,product(X_59,X_59))) != difference(X_59,product(B,product(X_59,X_59)))
    | product(B,product(X_59,X_59)) != product(B,X_59)
    | difference(X_59,product(B,product(X_59,X_59))) = difference(X_59,product(B,X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_59,product(B,product(X_59,X_59))),difference(X_59,product(B,product(X_59,X_59)))) ),[1,1],$fot(product(B,X_59))]]) ).

cnf(refute_0_4210,plain,
    ( product(B,product(X_59,X_59)) != product(B,X_59)
    | difference(X_59,product(B,product(X_59,X_59))) = difference(X_59,product(B,X_59)) ),
    inference(resolve,[$cnf( $equal(difference(X_59,product(B,product(X_59,X_59))),difference(X_59,product(B,product(X_59,X_59)))) )],[refute_0_4208,refute_0_4209]) ).

cnf(refute_0_4211,plain,
    difference(X_59,product(B,product(X_59,X_59))) = difference(X_59,product(B,X_59)),
    inference(resolve,[$cnf( $equal(product(B,product(X_59,X_59)),product(B,X_59)) )],[refute_0_4207,refute_0_4210]) ).

cnf(refute_0_4212,plain,
    ( difference(X_59,product(B,product(X_59,X_59))) != difference(X_59,product(B,X_59))
    | difference(X_59,product(B,product(X_59,X_59))) != product(difference(X_59,B),X_59)
    | difference(X_59,product(B,X_59)) = product(difference(X_59,B),X_59) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_59,product(B,product(X_59,X_59))),product(difference(X_59,B),X_59)) ),[0],$fot(difference(X_59,product(B,X_59)))]]) ).

cnf(refute_0_4213,plain,
    ( difference(X_59,product(B,product(X_59,X_59))) != product(difference(X_59,B),X_59)
    | difference(X_59,product(B,X_59)) = product(difference(X_59,B),X_59) ),
    inference(resolve,[$cnf( $equal(difference(X_59,product(B,product(X_59,X_59))),difference(X_59,product(B,X_59))) )],[refute_0_4211,refute_0_4212]) ).

cnf(refute_0_4214,plain,
    difference(X_59,product(B,X_59)) = product(difference(X_59,B),X_59),
    inference(resolve,[$cnf( $equal(difference(X_59,product(B,product(X_59,X_59))),product(difference(X_59,B),X_59)) )],[refute_0_4202,refute_0_4213]) ).

cnf(refute_0_4215,plain,
    ( difference(X_59,product(B,X_59)) != product(difference(X_59,B),X_59)
    | product(difference(X_59,B),X_59) = difference(X_59,product(B,X_59)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(X_59,product(B,X_59)))),bind(Y,$fot(product(difference(X_59,B),X_59)))]]) ).

cnf(refute_0_4216,plain,
    product(difference(X_59,B),X_59) = difference(X_59,product(B,X_59)),
    inference(resolve,[$cnf( $equal(difference(X_59,product(B,X_59)),product(difference(X_59,B),X_59)) )],[refute_0_4214,refute_0_4215]) ).

cnf(refute_0_4217,plain,
    product(difference(b,c),b) = difference(b,product(c,b)),
    inference(subst,[],[refute_0_4216:[bind(B,$fot(c)),bind(X_59,$fot(b))]]) ).

cnf(refute_0_4218,plain,
    product(c,product(difference(b,c),b)) = product(c,product(difference(b,c),b)),
    introduced(tautology,[refl,[$fot(product(c,product(difference(b,c),b)))]]) ).

cnf(refute_0_4219,plain,
    ( product(c,product(difference(b,c),b)) != product(c,product(difference(b,c),b))
    | product(difference(b,c),b) != difference(b,product(c,b))
    | product(c,product(difference(b,c),b)) = product(c,difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(b,c),b)),product(c,product(difference(b,c),b))) ),[1,1],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_4220,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(c,product(difference(b,c),b)) = product(c,difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),b)),product(c,product(difference(b,c),b))) )],[refute_0_4218,refute_0_4219]) ).

cnf(refute_0_4221,plain,
    product(c,product(difference(b,c),b)) = product(c,difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),difference(b,product(c,b))) )],[refute_0_4217,refute_0_4220]) ).

cnf(refute_0_4222,plain,
    product(c,product(difference(b,c),X_26)) = product(product(c,difference(b,c)),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(difference(b,c)))]]) ).

cnf(refute_0_4223,plain,
    difference(product(difference(c,product(a,b)),c),c) = product(c,product(c,quotient(difference(c,product(a,b)),c))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(difference(c,product(a,b)))),bind(X_30,$fot(c))]]) ).

cnf(refute_0_4224,plain,
    quotient(product(c,quotient(b,c)),c) = product(c,quotient(quotient(b,c),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(quotient(b,c)))]]) ).

cnf(refute_0_4225,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_16:[bind(X,$fot(difference(c,product(a,b)))),bind(Y,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_4226,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_4196,refute_0_4225]) ).

cnf(refute_0_4227,plain,
    ( product(c,quotient(b,c)) != difference(c,product(a,b))
    | quotient(product(c,quotient(b,c)),c) != product(c,quotient(quotient(b,c),c))
    | quotient(difference(c,product(a,b)),c) = product(c,quotient(quotient(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,quotient(b,c)),c),product(c,quotient(quotient(b,c),c))) ),[0,0],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_4228,plain,
    ( quotient(product(c,quotient(b,c)),c) != product(c,quotient(quotient(b,c),c))
    | quotient(difference(c,product(a,b)),c) = product(c,quotient(quotient(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_4226,refute_0_4227]) ).

cnf(refute_0_4229,plain,
    quotient(difference(c,product(a,b)),c) = product(c,quotient(quotient(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,quotient(b,c)),c),product(c,quotient(quotient(b,c),c))) )],[refute_0_4224,refute_0_4228]) ).

cnf(refute_0_4230,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != product(c,product(c,quotient(difference(c,product(a,b)),c)))
    | quotient(difference(c,product(a,b)),c) != product(c,quotient(quotient(b,c),c))
    | difference(product(difference(c,product(a,b)),c),c) = product(c,product(c,product(c,quotient(quotient(b,c),c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),product(c,product(c,quotient(difference(c,product(a,b)),c)))) ),[1,1,1],$fot(product(c,quotient(quotient(b,c),c)))]]) ).

cnf(refute_0_4231,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != product(c,product(c,quotient(difference(c,product(a,b)),c)))
    | difference(product(difference(c,product(a,b)),c),c) = product(c,product(c,product(c,quotient(quotient(b,c),c)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,b)),c),product(c,quotient(quotient(b,c),c))) )],[refute_0_4229,refute_0_4230]) ).

cnf(refute_0_4232,plain,
    difference(product(difference(c,product(a,b)),c),c) = product(c,product(c,product(c,quotient(quotient(b,c),c)))),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),product(c,product(c,quotient(difference(c,product(a,b)),c)))) )],[refute_0_4223,refute_0_4231]) ).

cnf(refute_0_4233,plain,
    difference(quotient(bigC(c,a,b),product(a,c)),bigC(c,a,b)) = product(a,c),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(a,c))),bind(X_11,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_4234,plain,
    difference(product(a,c),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) = quotient(bigC(c,a,b),product(a,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,c))),bind(B,$fot(quotient(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_4235,plain,
    quotient(product(product(a,c),bigC(c,a,b)),product(a,c)) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(a,c))),bind(X_44,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_4236,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | quotient(product(product(a,c),bigC(c,a,b)),product(a,c)) != product(product(a,c),quotient(bigC(c,a,b),product(a,c)))
    | quotient(product(a,product(b,c)),product(a,c)) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),bigC(c,a,b)),product(a,c)),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4237,plain,
    ( quotient(product(product(a,c),bigC(c,a,b)),product(a,c)) != product(product(a,c),quotient(bigC(c,a,b),product(a,c)))
    | quotient(product(a,product(b,c)),product(a,c)) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_4236]) ).

cnf(refute_0_4238,plain,
    quotient(product(a,product(b,c)),product(a,c)) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),bigC(c,a,b)),product(a,c)),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) )],[refute_0_4235,refute_0_4237]) ).

cnf(refute_0_4239,plain,
    quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))) = product(a,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(a,b))),bind(X_8,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_4240,plain,
    difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(a,c),product(c,b))) = product(a,c),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(a,c))),bind(X_41,$fot(product(c,b)))]]) ).

cnf(refute_0_4241,plain,
    ( difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(a,c),product(c,b))) != product(a,c)
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(a,c),product(c,b))),product(a,c)) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_4242,plain,
    ( difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(a,c),product(c,b))) != product(a,c)
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_4241]) ).

cnf(refute_0_4243,plain,
    difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(a,c),product(c,b))),product(a,c)) )],[refute_0_4240,refute_0_4242]) ).

cnf(refute_0_4244,plain,
    difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))))]]) ).

cnf(refute_0_4245,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(a,product(b,c))
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) != difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b)))
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = difference(product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4246,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(a,product(b,c))
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = difference(product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b)))) )],[refute_0_4244,refute_0_4245]) ).

cnf(refute_0_4247,plain,
    difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) = difference(product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(a,product(b,c))) )],[refute_0_520,refute_0_4246]) ).

cnf(refute_0_4248,plain,
    ( difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) != difference(product(a,b),product(a,product(b,c)))
    | difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) != product(a,c)
    | difference(product(a,b),product(a,product(b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),product(a,c)) ),[0],$fot(difference(product(a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_4249,plain,
    ( difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))) != product(a,c)
    | difference(product(a,b),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),difference(product(a,b),product(a,product(b,c)))) )],[refute_0_4247,refute_0_4248]) ).

cnf(refute_0_4250,plain,
    difference(product(a,b),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(a,c),product(c,b))),product(a,c)) )],[refute_0_4243,refute_0_4249]) ).

cnf(refute_0_4251,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_4252,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_4250,refute_0_4251]) ).

cnf(refute_0_4253,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_4239,refute_0_4252]) ).

cnf(refute_0_4254,plain,
    ( quotient(product(a,product(b,c)),product(a,c)) != product(a,b)
    | quotient(product(a,product(b,c)),product(a,c)) != product(product(a,c),quotient(bigC(c,a,b),product(a,c)))
    | product(a,b) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,c)),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(a,b))]]) ).

cnf(refute_0_4255,plain,
    ( quotient(product(a,product(b,c)),product(a,c)) != product(product(a,c),quotient(bigC(c,a,b),product(a,c)))
    | product(a,b) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,c)),product(a,b)) )],[refute_0_4253,refute_0_4254]) ).

cnf(refute_0_4256,plain,
    product(a,b) = product(product(a,c),quotient(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,c)),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) )],[refute_0_4238,refute_0_4255]) ).

cnf(refute_0_4257,plain,
    ( product(a,b) != product(product(a,c),quotient(bigC(c,a,b),product(a,c)))
    | product(product(a,c),quotient(bigC(c,a,b),product(a,c))) = product(a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,b))),bind(Y,$fot(product(product(a,c),quotient(bigC(c,a,b),product(a,c)))))]]) ).

cnf(refute_0_4258,plain,
    product(product(a,c),quotient(bigC(c,a,b),product(a,c))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,b),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) )],[refute_0_4256,refute_0_4257]) ).

cnf(refute_0_4259,plain,
    ( difference(product(a,c),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) != quotient(bigC(c,a,b),product(a,c))
    | product(product(a,c),quotient(bigC(c,a,b),product(a,c))) != product(a,b)
    | difference(product(a,c),product(a,b)) = quotient(bigC(c,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))),quotient(bigC(c,a,b),product(a,c))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_4260,plain,
    ( difference(product(a,c),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))) != quotient(bigC(c,a,b),product(a,c))
    | difference(product(a,c),product(a,b)) = quotient(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(a,b)) )],[refute_0_4258,refute_0_4259]) ).

cnf(refute_0_4261,plain,
    difference(product(a,c),product(a,b)) = quotient(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),quotient(bigC(c,a,b),product(a,c)))),quotient(bigC(c,a,b),product(a,c))) )],[refute_0_4234,refute_0_4260]) ).

cnf(refute_0_4262,plain,
    difference(product(a,c),product(product(a,c),product(c,b))) = product(c,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_4263,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_4264,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)) )],[refute_0_103,refute_0_4263]) ).

cnf(refute_0_4265,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_4262,refute_0_4264]) ).

cnf(refute_0_4266,plain,
    ( difference(product(a,c),product(a,b)) != product(c,b)
    | difference(product(a,c),product(a,b)) != quotient(bigC(c,a,b),product(a,c))
    | product(c,b) = quotient(bigC(c,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(a,b)),quotient(bigC(c,a,b),product(a,c))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_4267,plain,
    ( difference(product(a,c),product(a,b)) != quotient(bigC(c,a,b),product(a,c))
    | product(c,b) = quotient(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,b)),product(c,b)) )],[refute_0_4265,refute_0_4266]) ).

cnf(refute_0_4268,plain,
    product(c,b) = quotient(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,b)),quotient(bigC(c,a,b),product(a,c))) )],[refute_0_4261,refute_0_4267]) ).

cnf(refute_0_4269,plain,
    ( product(c,b) != quotient(bigC(c,a,b),product(a,c))
    | quotient(bigC(c,a,b),product(a,c)) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(quotient(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_4270,plain,
    quotient(bigC(c,a,b),product(a,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),quotient(bigC(c,a,b),product(a,c))) )],[refute_0_4268,refute_0_4269]) ).

cnf(refute_0_4271,plain,
    ( difference(quotient(bigC(c,a,b),product(a,c)),bigC(c,a,b)) != product(a,c)
    | quotient(bigC(c,a,b),product(a,c)) != product(c,b)
    | difference(product(c,b),bigC(c,a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(c,a,b),product(a,c)),bigC(c,a,b)),product(a,c)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_4272,plain,
    ( difference(quotient(bigC(c,a,b),product(a,c)),bigC(c,a,b)) != product(a,c)
    | difference(product(c,b),bigC(c,a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(a,c)),product(c,b)) )],[refute_0_4270,refute_0_4271]) ).

cnf(refute_0_4273,plain,
    difference(product(c,b),bigC(c,a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(c,a,b),product(a,c)),bigC(c,a,b)),product(a,c)) )],[refute_0_4233,refute_0_4272]) ).

cnf(refute_0_4274,plain,
    difference(product(c,b),bigC(c,a,b)) = difference(product(c,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_4275,plain,
    ( bigC(c,a,b) != c
    | difference(product(c,b),bigC(c,a,b)) != difference(product(c,b),bigC(c,a,b))
    | difference(product(c,b),bigC(c,a,b)) = difference(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),difference(product(c,b),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4276,plain,
    ( bigC(c,a,b) != c
    | difference(product(c,b),bigC(c,a,b)) = difference(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),difference(product(c,b),bigC(c,a,b))) )],[refute_0_4274,refute_0_4275]) ).

cnf(refute_0_4277,plain,
    difference(product(c,b),bigC(c,a,b)) = difference(product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4276]) ).

cnf(refute_0_4278,plain,
    ( difference(product(c,b),bigC(c,a,b)) != difference(product(c,b),c)
    | difference(product(c,b),bigC(c,a,b)) != product(a,c)
    | difference(product(c,b),c) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),product(a,c)) ),[0],$fot(difference(product(c,b),c))]]) ).

cnf(refute_0_4279,plain,
    ( difference(product(c,b),bigC(c,a,b)) != product(a,c)
    | difference(product(c,b),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),difference(product(c,b),c)) )],[refute_0_4277,refute_0_4278]) ).

cnf(refute_0_4280,plain,
    difference(product(c,b),c) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),product(a,c)) )],[refute_0_4273,refute_0_4279]) ).

cnf(refute_0_4281,plain,
    difference(c,product(c,product(c,b))) = product(c,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_4282,plain,
    difference(c,product(c,product(c,product(c,b)))) = product(c,product(c,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_4283,plain,
    ( difference(c,product(c,product(c,product(c,b)))) != product(c,product(c,b))
    | product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | difference(c,bigC(b,a,product(a,b))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(c,product(c,b)))),product(c,product(c,b))) ),[0,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_4284,plain,
    ( difference(c,product(c,product(c,product(c,b)))) != product(c,product(c,b))
    | difference(c,bigC(b,a,product(a,b))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_4283]) ).

cnf(refute_0_4285,plain,
    difference(c,bigC(b,a,product(a,b))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(c,product(c,b)))),product(c,product(c,b))) )],[refute_0_4282,refute_0_4284]) ).

cnf(refute_0_4286,plain,
    difference(product(c,c),bigC(c,c,product(a,b))) = product(product(a,b),c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(c)),bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_4287,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | difference(product(c,c),bigC(c,c,product(a,b))) != product(product(a,b),c)
    | difference(product(c,c),bigC(b,a,product(a,b))) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,c),bigC(c,c,product(a,b))),product(product(a,b),c)) ),[0,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_4288,plain,
    ( difference(product(c,c),bigC(c,c,product(a,b))) != product(product(a,b),c)
    | difference(product(c,c),bigC(b,a,product(a,b))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1514,refute_0_4287]) ).

cnf(refute_0_4289,plain,
    difference(product(c,c),bigC(b,a,product(a,b))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,c),bigC(c,c,product(a,b))),product(product(a,b),c)) )],[refute_0_4286,refute_0_4288]) ).

cnf(refute_0_4290,plain,
    difference(product(c,c),bigC(b,a,product(a,b))) = difference(product(c,c),bigC(b,a,product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,c),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_4291,plain,
    ( difference(product(c,c),bigC(b,a,product(a,b))) != difference(product(c,c),bigC(b,a,product(a,b)))
    | product(c,c) != c
    | difference(product(c,c),bigC(b,a,product(a,b))) = difference(c,bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,c),bigC(b,a,product(a,b))),difference(product(c,c),bigC(b,a,product(a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4292,plain,
    ( product(c,c) != c
    | difference(product(c,c),bigC(b,a,product(a,b))) = difference(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,c),bigC(b,a,product(a,b))),difference(product(c,c),bigC(b,a,product(a,b)))) )],[refute_0_4290,refute_0_4291]) ).

cnf(refute_0_4293,plain,
    difference(product(c,c),bigC(b,a,product(a,b))) = difference(c,bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_4292]) ).

cnf(refute_0_4294,plain,
    ( difference(product(c,c),bigC(b,a,product(a,b))) != difference(c,bigC(b,a,product(a,b)))
    | difference(product(c,c),bigC(b,a,product(a,b))) != product(product(a,b),c)
    | difference(c,bigC(b,a,product(a,b))) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,c),bigC(b,a,product(a,b))),product(product(a,b),c)) ),[0],$fot(difference(c,bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_4295,plain,
    ( difference(product(c,c),bigC(b,a,product(a,b))) != product(product(a,b),c)
    | difference(c,bigC(b,a,product(a,b))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,c),bigC(b,a,product(a,b))),difference(c,bigC(b,a,product(a,b)))) )],[refute_0_4293,refute_0_4294]) ).

cnf(refute_0_4296,plain,
    difference(c,bigC(b,a,product(a,b))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,c),bigC(b,a,product(a,b))),product(product(a,b),c)) )],[refute_0_4289,refute_0_4295]) ).

cnf(refute_0_4297,plain,
    ( difference(c,bigC(b,a,product(a,b))) != product(c,product(c,b))
    | difference(c,bigC(b,a,product(a,b))) != product(product(a,b),c)
    | product(product(a,b),c) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(b,a,product(a,b))),product(c,product(c,b))) ),[0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_4298,plain,
    ( difference(c,bigC(b,a,product(a,b))) != product(c,product(c,b))
    | product(product(a,b),c) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,product(a,b))),product(product(a,b),c)) )],[refute_0_4296,refute_0_4297]) ).

cnf(refute_0_4299,plain,
    product(product(a,b),c) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,product(a,b))),product(c,product(c,b))) )],[refute_0_4285,refute_0_4298]) ).

cnf(refute_0_4300,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_4301,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_4302,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_4300,refute_0_4301]) ).

cnf(refute_0_4303,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_4299,refute_0_4302]) ).

cnf(refute_0_4304,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_32:[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_4305,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_4303,refute_0_4304]) ).

cnf(refute_0_4306,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_4281,refute_0_4305]) ).

cnf(refute_0_4307,plain,
    product(difference(c,product(a,b)),c) = difference(c,product(product(a,b),c)),
    inference(subst,[],[refute_0_4216:[bind(B,$fot(product(a,b))),bind(X_59,$fot(c))]]) ).

cnf(refute_0_4308,plain,
    ( difference(c,product(product(a,b),c)) != product(c,b)
    | product(difference(c,product(a,b)),c) != difference(c,product(product(a,b),c))
    | product(difference(c,product(a,b)),c) = product(c,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(c,product(a,b)),c))),bind(Y,$fot(difference(c,product(product(a,b),c)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_4309,plain,
    ( difference(c,product(product(a,b),c)) != product(c,b)
    | product(difference(c,product(a,b)),c) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),c),difference(c,product(product(a,b),c))) )],[refute_0_4307,refute_0_4308]) ).

cnf(refute_0_4310,plain,
    product(difference(c,product(a,b)),c) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,b),c)),product(c,b)) )],[refute_0_4306,refute_0_4309]) ).

cnf(refute_0_4311,plain,
    difference(product(difference(c,product(a,b)),c),c) = difference(product(difference(c,product(a,b)),c),c),
    introduced(tautology,[refl,[$fot(difference(product(difference(c,product(a,b)),c),c))]]) ).

cnf(refute_0_4312,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != difference(product(difference(c,product(a,b)),c),c)
    | product(difference(c,product(a,b)),c) != product(c,b)
    | difference(product(difference(c,product(a,b)),c),c) = difference(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),difference(product(difference(c,product(a,b)),c),c)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_4313,plain,
    ( product(difference(c,product(a,b)),c) != product(c,b)
    | difference(product(difference(c,product(a,b)),c),c) = difference(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),difference(product(difference(c,product(a,b)),c),c)) )],[refute_0_4311,refute_0_4312]) ).

cnf(refute_0_4314,plain,
    difference(product(difference(c,product(a,b)),c),c) = difference(product(c,b),c),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),c),product(c,b)) )],[refute_0_4310,refute_0_4313]) ).

cnf(refute_0_4315,plain,
    ( difference(product(c,b),c) != product(a,c)
    | difference(product(difference(c,product(a,b)),c),c) != difference(product(c,b),c)
    | difference(product(difference(c,product(a,b)),c),c) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(difference(c,product(a,b)),c),c))),bind(Y,$fot(difference(product(c,b),c))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_4316,plain,
    ( difference(product(c,b),c) != product(a,c)
    | difference(product(difference(c,product(a,b)),c),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),difference(product(c,b),c)) )],[refute_0_4314,refute_0_4315]) ).

cnf(refute_0_4317,plain,
    difference(product(difference(c,product(a,b)),c),c) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),c),product(a,c)) )],[refute_0_4280,refute_0_4316]) ).

cnf(refute_0_4318,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != product(a,c)
    | difference(product(difference(c,product(a,b)),c),c) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(a,c) = product(c,product(c,product(c,quotient(quotient(b,c),c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),product(c,product(c,product(c,quotient(quotient(b,c),c))))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_4319,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(a,c) = product(c,product(c,product(c,quotient(quotient(b,c),c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),product(a,c)) )],[refute_0_4317,refute_0_4318]) ).

cnf(refute_0_4320,plain,
    product(quotient(b,c),c) = b,
    inference(subst,[],[refute_0_52:[bind(A,$fot(b)),bind(B,$fot(c))]]) ).

cnf(refute_0_4321,plain,
    difference(product(quotient(b,c),c),c) = difference(product(quotient(b,c),c),c),
    introduced(tautology,[refl,[$fot(difference(product(quotient(b,c),c),c))]]) ).

cnf(refute_0_4322,plain,
    ( difference(product(quotient(b,c),c),c) != difference(product(quotient(b,c),c),c)
    | product(quotient(b,c),c) != b
    | difference(product(quotient(b,c),c),c) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(b,c),c),c),difference(product(quotient(b,c),c),c)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_4323,plain,
    ( product(quotient(b,c),c) != b
    | difference(product(quotient(b,c),c),c) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,c),c),c),difference(product(quotient(b,c),c),c)) )],[refute_0_4321,refute_0_4322]) ).

cnf(refute_0_4324,plain,
    difference(product(quotient(b,c),c),c) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(quotient(b,c),c),b) )],[refute_0_4320,refute_0_4323]) ).

cnf(refute_0_4325,plain,
    product(c,product(c,quotient(quotient(b,c),c))) = difference(product(quotient(b,c),c),c),
    inference(subst,[],[refute_0_296:[bind(A,$fot(quotient(b,c))),bind(X_30,$fot(c))]]) ).

cnf(refute_0_4326,plain,
    ( difference(product(quotient(b,c),c),c) != difference(b,c)
    | product(c,product(c,quotient(quotient(b,c),c))) != difference(product(quotient(b,c),c),c)
    | product(c,product(c,quotient(quotient(b,c),c))) = difference(b,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(c,quotient(quotient(b,c),c))))),bind(Y,$fot(difference(product(quotient(b,c),c),c))),bind(Z,$fot(difference(b,c)))]]) ).

cnf(refute_0_4327,plain,
    ( difference(product(quotient(b,c),c),c) != difference(b,c)
    | product(c,product(c,quotient(quotient(b,c),c))) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(quotient(b,c),c))),difference(product(quotient(b,c),c),c)) )],[refute_0_4325,refute_0_4326]) ).

cnf(refute_0_4328,plain,
    product(c,product(c,quotient(quotient(b,c),c))) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,c),c),c),difference(b,c)) )],[refute_0_4324,refute_0_4327]) ).

cnf(refute_0_4329,plain,
    product(c,product(c,product(c,quotient(quotient(b,c),c)))) = product(c,product(c,product(c,quotient(quotient(b,c),c)))),
    introduced(tautology,[refl,[$fot(product(c,product(c,product(c,quotient(quotient(b,c),c)))))]]) ).

cnf(refute_0_4330,plain,
    ( product(c,product(c,product(c,quotient(quotient(b,c),c)))) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(c,product(c,quotient(quotient(b,c),c))) != difference(b,c)
    | product(c,product(c,product(c,quotient(quotient(b,c),c)))) = product(c,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,quotient(quotient(b,c),c)))),product(c,product(c,product(c,quotient(quotient(b,c),c))))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_4331,plain,
    ( product(c,product(c,quotient(quotient(b,c),c))) != difference(b,c)
    | product(c,product(c,product(c,quotient(quotient(b,c),c)))) = product(c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,quotient(quotient(b,c),c)))),product(c,product(c,product(c,quotient(quotient(b,c),c))))) )],[refute_0_4329,refute_0_4330]) ).

cnf(refute_0_4332,plain,
    product(c,product(c,product(c,quotient(quotient(b,c),c)))) = product(c,difference(b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(quotient(b,c),c))),difference(b,c)) )],[refute_0_4328,refute_0_4331]) ).

cnf(refute_0_4333,plain,
    ( product(a,c) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(c,product(c,product(c,quotient(quotient(b,c),c)))) != product(c,difference(b,c))
    | product(a,c) = product(c,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,c),product(c,difference(b,c))) ),[0],$fot(product(c,product(c,product(c,quotient(quotient(b,c),c)))))]]) ).

cnf(refute_0_4334,plain,
    ( product(a,c) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(a,c) = product(c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,quotient(quotient(b,c),c)))),product(c,difference(b,c))) )],[refute_0_4332,refute_0_4333]) ).

cnf(refute_0_4335,plain,
    ( difference(product(difference(c,product(a,b)),c),c) != product(c,product(c,product(c,quotient(quotient(b,c),c))))
    | product(a,c) = product(c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,c),product(c,product(c,product(c,quotient(quotient(b,c),c))))) )],[refute_0_4319,refute_0_4334]) ).

cnf(refute_0_4336,plain,
    product(a,c) = product(c,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(a,b)),c),c),product(c,product(c,product(c,quotient(quotient(b,c),c))))) )],[refute_0_4232,refute_0_4335]) ).

cnf(refute_0_4337,plain,
    ( product(a,c) != product(c,difference(b,c))
    | product(c,difference(b,c)) = product(a,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(c,difference(b,c))))]]) ).

cnf(refute_0_4338,plain,
    product(c,difference(b,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(c,difference(b,c))) )],[refute_0_4336,refute_0_4337]) ).

cnf(refute_0_4339,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | product(c,product(difference(b,c),X_26)) != product(product(c,difference(b,c)),product(c,X_26))
    | product(c,product(difference(b,c),X_26)) = product(product(a,c),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(b,c),X_26)),product(product(c,difference(b,c)),product(c,X_26))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_4340,plain,
    ( product(c,product(difference(b,c),X_26)) != product(product(c,difference(b,c)),product(c,X_26))
    | product(c,product(difference(b,c),X_26)) = product(product(a,c),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_4339]) ).

cnf(refute_0_4341,plain,
    product(c,product(difference(b,c),X_26)) = product(product(a,c),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),X_26)),product(product(c,difference(b,c)),product(c,X_26))) )],[refute_0_4222,refute_0_4340]) ).

cnf(refute_0_4342,plain,
    ( product(c,product(difference(b,c),X_26)) != product(product(a,c),product(c,X_26))
    | product(product(a,c),product(c,X_26)) = product(c,product(difference(b,c),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(difference(b,c),X_26)))),bind(Y,$fot(product(product(a,c),product(c,X_26))))]]) ).

cnf(refute_0_4343,plain,
    product(product(a,c),product(c,X_26)) = product(c,product(difference(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),X_26)),product(product(a,c),product(c,X_26))) )],[refute_0_4341,refute_0_4342]) ).

cnf(refute_0_4344,plain,
    product(product(a,c),product(c,b)) = product(c,product(difference(b,c),b)),
    inference(subst,[],[refute_0_4343:[bind(X_26,$fot(b))]]) ).

cnf(refute_0_4345,plain,
    ( product(c,product(difference(b,c),b)) != product(c,difference(b,product(c,b)))
    | product(product(a,c),product(c,b)) != product(c,product(difference(b,c),b))
    | product(product(a,c),product(c,b)) = product(c,difference(b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(c,b)))),bind(Y,$fot(product(c,product(difference(b,c),b)))),bind(Z,$fot(product(c,difference(b,product(c,b)))))]]) ).

cnf(refute_0_4346,plain,
    ( product(c,product(difference(b,c),b)) != product(c,difference(b,product(c,b)))
    | product(product(a,c),product(c,b)) = product(c,difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(c,product(difference(b,c),b))) )],[refute_0_4344,refute_0_4345]) ).

cnf(refute_0_4347,plain,
    product(product(a,c),product(c,b)) = product(c,difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),b)),product(c,difference(b,product(c,b)))) )],[refute_0_4221,refute_0_4346]) ).

cnf(refute_0_4348,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,c),product(c,b)) != product(c,difference(b,product(c,b)))
    | product(c,difference(b,product(c,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) ),[0],$fot(product(c,difference(b,product(c,b))))]]) ).

cnf(refute_0_4349,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(c,difference(b,product(c,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(c,difference(b,product(c,b)))) )],[refute_0_4347,refute_0_4348]) ).

cnf(refute_0_4350,plain,
    product(c,difference(b,product(c,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_4349]) ).

cnf(refute_0_4351,plain,
    ( difference(c,product(c,difference(b,product(c,b)))) != difference(b,product(c,b))
    | product(c,difference(b,product(c,b))) != product(a,b)
    | difference(c,product(a,b)) = difference(b,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(b,product(c,b)))),difference(b,product(c,b))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_4352,plain,
    ( difference(c,product(c,difference(b,product(c,b)))) != difference(b,product(c,b))
    | difference(c,product(a,b)) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_4351]) ).

cnf(refute_0_4353,plain,
    difference(c,product(a,b)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(b,product(c,b)))),difference(b,product(c,b))) )],[refute_0_4197,refute_0_4352]) ).

cnf(refute_0_4354,plain,
    ( difference(c,product(a,b)) != difference(b,product(c,b))
    | difference(c,product(a,b)) != product(c,quotient(b,c))
    | difference(b,product(c,b)) = product(c,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(a,b)),product(c,quotient(b,c))) ),[0],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_4355,plain,
    ( difference(c,product(a,b)) != product(c,quotient(b,c))
    | difference(b,product(c,b)) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),difference(b,product(c,b))) )],[refute_0_4353,refute_0_4354]) ).

cnf(refute_0_4356,plain,
    difference(b,product(c,b)) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),product(c,quotient(b,c))) )],[refute_0_4196,refute_0_4355]) ).

cnf(refute_0_4357,plain,
    ( difference(b,product(c,b)) != product(c,quotient(b,c))
    | product(c,quotient(b,c)) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(b,product(c,b)))),bind(Y,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_4358,plain,
    product(c,quotient(b,c)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),product(c,quotient(b,c))) )],[refute_0_4356,refute_0_4357]) ).

cnf(refute_0_4359,plain,
    ( bigC(c,quotient(b,c),c) != product(product(c,quotient(b,c)),c)
    | product(c,quotient(b,c)) != difference(b,product(c,b))
    | bigC(c,quotient(b,c),c) = product(difference(b,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(b,c),c),product(product(c,quotient(b,c)),c)) ),[1,0],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_4360,plain,
    ( bigC(c,quotient(b,c),c) != product(product(c,quotient(b,c)),c)
    | bigC(c,quotient(b,c),c) = product(difference(b,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(b,product(c,b))) )],[refute_0_4358,refute_0_4359]) ).

cnf(refute_0_4361,plain,
    bigC(c,quotient(b,c),c) = product(difference(b,product(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),c),product(product(c,quotient(b,c)),c)) )],[refute_0_4107,refute_0_4360]) ).

cnf(refute_0_4362,plain,
    bigC(c,quotient(b,c),c) = bigC(c,c,quotient(b,c)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(quotient(b,c)))]]) ).

cnf(refute_0_4363,plain,
    ( bigC(c,c,quotient(b,c)) != product(product(c,c),b)
    | bigC(c,quotient(b,c),c) != bigC(c,c,quotient(b,c))
    | bigC(c,quotient(b,c),c) = product(product(c,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,quotient(b,c),c))),bind(Y,$fot(bigC(c,c,quotient(b,c)))),bind(Z,$fot(product(product(c,c),b)))]]) ).

cnf(refute_0_4364,plain,
    ( bigC(c,c,quotient(b,c)) != product(product(c,c),b)
    | bigC(c,quotient(b,c),c) = product(product(c,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),c),bigC(c,c,quotient(b,c))) )],[refute_0_4362,refute_0_4363]) ).

cnf(refute_0_4365,plain,
    bigC(c,quotient(b,c),c) = product(product(c,c),b),
    inference(resolve,[$cnf( $equal(bigC(c,c,quotient(b,c)),product(product(c,c),b)) )],[refute_0_4101,refute_0_4364]) ).

cnf(refute_0_4366,plain,
    ( bigC(c,quotient(b,c),c) != product(product(c,c),b)
    | product(product(c,c),b) != product(c,b)
    | bigC(c,quotient(b,c),c) = product(c,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,quotient(b,c),c))),bind(Y,$fot(product(product(c,c),b))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_4367,plain,
    ( product(product(c,c),b) != product(c,b)
    | bigC(c,quotient(b,c),c) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),c),product(product(c,c),b)) )],[refute_0_4365,refute_0_4366]) ).

cnf(refute_0_4368,plain,
    bigC(c,quotient(b,c),c) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(c,c),b),product(c,b)) )],[refute_0_315,refute_0_4367]) ).

cnf(refute_0_4369,plain,
    ( bigC(c,quotient(b,c),c) != product(c,b)
    | bigC(c,quotient(b,c),c) != product(difference(b,product(c,b)),c)
    | product(c,b) = product(difference(b,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(b,c),c),product(difference(b,product(c,b)),c)) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_4370,plain,
    ( bigC(c,quotient(b,c),c) != product(difference(b,product(c,b)),c)
    | product(c,b) = product(difference(b,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),c),product(c,b)) )],[refute_0_4368,refute_0_4369]) ).

cnf(refute_0_4371,plain,
    product(c,b) = product(difference(b,product(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),c),product(difference(b,product(c,b)),c)) )],[refute_0_4361,refute_0_4370]) ).

cnf(refute_0_4372,plain,
    ( product(c,b) != product(difference(b,product(c,b)),c)
    | product(difference(b,product(c,b)),c) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(difference(b,product(c,b)),c)))]]) ).

cnf(refute_0_4373,plain,
    product(difference(b,product(c,b)),c) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(difference(b,product(c,b)),c)) )],[refute_0_4371,refute_0_4372]) ).

cnf(refute_0_4374,plain,
    ( product(difference(b,product(c,b)),c) != product(c,b)
    | product(difference(b,product(c,b)),product(c,X_26)) != product(product(difference(b,product(c,b)),c),product(difference(b,product(c,b)),X_26))
    | product(difference(b,product(c,b)),product(c,X_26)) = product(product(c,b),product(difference(b,product(c,b)),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(product(difference(b,product(c,b)),c),product(difference(b,product(c,b)),X_26))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_4375,plain,
    ( product(difference(b,product(c,b)),product(c,X_26)) != product(product(difference(b,product(c,b)),c),product(difference(b,product(c,b)),X_26))
    | product(difference(b,product(c,b)),product(c,X_26)) = product(product(c,b),product(difference(b,product(c,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),c),product(c,b)) )],[refute_0_4373,refute_0_4374]) ).

cnf(refute_0_4376,plain,
    product(difference(b,product(c,b)),product(c,X_26)) = product(product(c,b),product(difference(b,product(c,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(product(difference(b,product(c,b)),c),product(difference(b,product(c,b)),X_26))) )],[refute_0_4106,refute_0_4375]) ).

cnf(refute_0_4377,plain,
    product(product(c,c),product(quotient(b,c),X_26)) = product(product(c,c),product(quotient(b,c),X_26)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(quotient(b,c),X_26)))]]) ).

cnf(refute_0_4378,plain,
    ( product(c,c) != c
    | product(product(c,c),product(quotient(b,c),X_26)) != product(product(c,c),product(quotient(b,c),X_26))
    | product(product(c,c),product(quotient(b,c),X_26)) = product(c,product(quotient(b,c),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(quotient(b,c),X_26)),product(product(c,c),product(quotient(b,c),X_26))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4379,plain,
    ( product(c,c) != c
    | product(product(c,c),product(quotient(b,c),X_26)) = product(c,product(quotient(b,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(quotient(b,c),X_26)),product(product(c,c),product(quotient(b,c),X_26))) )],[refute_0_4377,refute_0_4378]) ).

cnf(refute_0_4380,plain,
    product(product(c,c),product(quotient(b,c),X_26)) = product(c,product(quotient(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_4379]) ).

cnf(refute_0_4381,plain,
    product(product(c,B),product(quotient(b,c),D)) = product(product(c,quotient(b,c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(quotient(b,c)))]]) ).

cnf(refute_0_4382,plain,
    ( product(c,quotient(b,c)) != difference(b,product(c,b))
    | product(product(c,B),product(quotient(b,c),D)) != product(product(c,quotient(b,c)),product(B,D))
    | product(product(c,B),product(quotient(b,c),D)) = product(difference(b,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(quotient(b,c),D)),product(product(c,quotient(b,c)),product(B,D))) ),[1,0],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_4383,plain,
    ( product(product(c,B),product(quotient(b,c),D)) != product(product(c,quotient(b,c)),product(B,D))
    | product(product(c,B),product(quotient(b,c),D)) = product(difference(b,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(b,product(c,b))) )],[refute_0_4358,refute_0_4382]) ).

cnf(refute_0_4384,plain,
    product(product(c,B),product(quotient(b,c),D)) = product(difference(b,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(quotient(b,c),D)),product(product(c,quotient(b,c)),product(B,D))) )],[refute_0_4381,refute_0_4383]) ).

cnf(refute_0_4385,plain,
    ( product(product(c,B),product(quotient(b,c),D)) != product(difference(b,product(c,b)),product(B,D))
    | product(difference(b,product(c,b)),product(B,D)) = product(product(c,B),product(quotient(b,c),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,B),product(quotient(b,c),D)))),bind(Y,$fot(product(difference(b,product(c,b)),product(B,D))))]]) ).

cnf(refute_0_4386,plain,
    product(difference(b,product(c,b)),product(B,D)) = product(product(c,B),product(quotient(b,c),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(quotient(b,c),D)),product(difference(b,product(c,b)),product(B,D))) )],[refute_0_4384,refute_0_4385]) ).

cnf(refute_0_4387,plain,
    product(difference(b,product(c,b)),product(c,X_26)) = product(product(c,c),product(quotient(b,c),X_26)),
    inference(subst,[],[refute_0_4386:[bind(B,$fot(c)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_4388,plain,
    ( product(difference(b,product(c,b)),product(c,X_26)) != product(product(c,c),product(quotient(b,c),X_26))
    | product(product(c,c),product(quotient(b,c),X_26)) != product(c,product(quotient(b,c),X_26))
    | product(difference(b,product(c,b)),product(c,X_26)) = product(c,product(quotient(b,c),X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(b,product(c,b)),product(c,X_26)))),bind(Y,$fot(product(product(c,c),product(quotient(b,c),X_26)))),bind(Z,$fot(product(c,product(quotient(b,c),X_26))))]]) ).

cnf(refute_0_4389,plain,
    ( product(product(c,c),product(quotient(b,c),X_26)) != product(c,product(quotient(b,c),X_26))
    | product(difference(b,product(c,b)),product(c,X_26)) = product(c,product(quotient(b,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(product(c,c),product(quotient(b,c),X_26))) )],[refute_0_4387,refute_0_4388]) ).

cnf(refute_0_4390,plain,
    product(difference(b,product(c,b)),product(c,X_26)) = product(c,product(quotient(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(quotient(b,c),X_26)),product(c,product(quotient(b,c),X_26))) )],[refute_0_4380,refute_0_4389]) ).

cnf(refute_0_4391,plain,
    ( product(difference(b,product(c,b)),product(c,X_26)) != product(c,product(quotient(b,c),X_26))
    | product(difference(b,product(c,b)),product(c,X_26)) != product(product(c,b),product(difference(b,product(c,b)),X_26))
    | product(c,product(quotient(b,c),X_26)) = product(product(c,b),product(difference(b,product(c,b)),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(product(c,b),product(difference(b,product(c,b)),X_26))) ),[0],$fot(product(c,product(quotient(b,c),X_26)))]]) ).

cnf(refute_0_4392,plain,
    ( product(difference(b,product(c,b)),product(c,X_26)) != product(product(c,b),product(difference(b,product(c,b)),X_26))
    | product(c,product(quotient(b,c),X_26)) = product(product(c,b),product(difference(b,product(c,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(c,product(quotient(b,c),X_26))) )],[refute_0_4390,refute_0_4391]) ).

cnf(refute_0_4393,plain,
    product(product(c,B),product(difference(b,product(c,b)),D)) = product(product(c,difference(b,product(c,b))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_4394,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(product(c,B),product(difference(b,product(c,b)),D)) != product(product(c,difference(b,product(c,b))),product(B,D))
    | product(product(c,B),product(difference(b,product(c,b)),D)) = product(product(a,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(b,product(c,b)),D)),product(product(c,difference(b,product(c,b))),product(B,D))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_4395,plain,
    ( product(product(c,B),product(difference(b,product(c,b)),D)) != product(product(c,difference(b,product(c,b))),product(B,D))
    | product(product(c,B),product(difference(b,product(c,b)),D)) = product(product(a,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_4394]) ).

cnf(refute_0_4396,plain,
    product(product(c,B),product(difference(b,product(c,b)),D)) = product(product(a,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(b,product(c,b)),D)),product(product(c,difference(b,product(c,b))),product(B,D))) )],[refute_0_4393,refute_0_4395]) ).

cnf(refute_0_4397,plain,
    product(product(c,b),product(difference(b,product(c,b)),X_26)) = product(product(a,b),product(b,X_26)),
    inference(subst,[],[refute_0_4396:[bind(B,$fot(b)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_4398,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(product(c,b),product(difference(b,product(c,b)),X_26))
    | product(product(c,b),product(difference(b,product(c,b)),X_26)) != product(product(a,b),product(b,X_26))
    | product(c,product(quotient(b,c),X_26)) = product(product(a,b),product(b,X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(quotient(b,c),X_26)),product(product(a,b),product(b,X_26))) ),[0],$fot(product(product(c,b),product(difference(b,product(c,b)),X_26)))]]) ).

cnf(refute_0_4399,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(product(c,b),product(difference(b,product(c,b)),X_26))
    | product(c,product(quotient(b,c),X_26)) = product(product(a,b),product(b,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(difference(b,product(c,b)),X_26)),product(product(a,b),product(b,X_26))) )],[refute_0_4397,refute_0_4398]) ).

cnf(refute_0_4400,plain,
    ( product(difference(b,product(c,b)),product(c,X_26)) != product(product(c,b),product(difference(b,product(c,b)),X_26))
    | product(c,product(quotient(b,c),X_26)) = product(product(a,b),product(b,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),X_26)),product(product(c,b),product(difference(b,product(c,b)),X_26))) )],[refute_0_4392,refute_0_4399]) ).

cnf(refute_0_4401,plain,
    product(c,product(quotient(b,c),X_26)) = product(product(a,b),product(b,X_26)),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),product(c,X_26)),product(product(c,b),product(difference(b,product(c,b)),X_26))) )],[refute_0_4376,refute_0_4400]) ).

cnf(refute_0_4402,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(product(a,b),product(b,X_26))
    | product(product(a,b),product(b,X_26)) = product(c,product(quotient(b,c),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(quotient(b,c),X_26)))),bind(Y,$fot(product(product(a,b),product(b,X_26))))]]) ).

cnf(refute_0_4403,plain,
    product(product(a,b),product(b,X_26)) = product(c,product(quotient(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),X_26)),product(product(a,b),product(b,X_26))) )],[refute_0_4401,refute_0_4402]) ).

cnf(refute_0_4404,plain,
    product(product(a,b),product(b,c)) = product(c,product(quotient(b,c),c)),
    inference(subst,[],[refute_0_4403:[bind(X_26,$fot(c))]]) ).

cnf(refute_0_4405,plain,
    ( product(c,product(quotient(b,c),c)) != product(product(c,c),b)
    | product(product(a,b),product(b,c)) != product(c,product(quotient(b,c),c))
    | product(product(a,b),product(b,c)) = product(product(c,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(b,c)))),bind(Y,$fot(product(c,product(quotient(b,c),c)))),bind(Z,$fot(product(product(c,c),b)))]]) ).

cnf(refute_0_4406,plain,
    ( product(c,product(quotient(b,c),c)) != product(product(c,c),b)
    | product(product(a,b),product(b,c)) = product(product(c,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,c)),product(c,product(quotient(b,c),c))) )],[refute_0_4404,refute_0_4405]) ).

cnf(refute_0_4407,plain,
    product(product(a,b),product(b,c)) = product(product(c,c),b),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),c)),product(product(c,c),b)) )],[refute_0_4105,refute_0_4406]) ).

cnf(refute_0_4408,plain,
    ( product(product(a,b),product(b,c)) != product(product(c,c),b)
    | product(product(c,c),b) != product(c,b)
    | product(product(a,b),product(b,c)) = product(c,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(b,c)))),bind(Y,$fot(product(product(c,c),b))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_4409,plain,
    ( product(product(c,c),b) != product(c,b)
    | product(product(a,b),product(b,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,c)),product(product(c,c),b)) )],[refute_0_4407,refute_0_4408]) ).

cnf(refute_0_4410,plain,
    product(product(a,b),product(b,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(c,c),b),product(c,b)) )],[refute_0_315,refute_0_4409]) ).

cnf(refute_0_4411,plain,
    product(product(product(a,b),product(b,c)),b) = product(product(product(a,b),product(b,c)),b),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(b,c)),b))]]) ).

cnf(refute_0_4412,plain,
    ( product(product(a,b),product(b,c)) != product(c,b)
    | product(product(product(a,b),product(b,c)),b) != product(product(product(a,b),product(b,c)),b)
    | product(product(product(a,b),product(b,c)),b) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(b,c)),b),product(product(product(a,b),product(b,c)),b)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_4413,plain,
    ( product(product(a,b),product(b,c)) != product(c,b)
    | product(product(product(a,b),product(b,c)),b) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(b,c)),b),product(product(product(a,b),product(b,c)),b)) )],[refute_0_4411,refute_0_4412]) ).

cnf(refute_0_4414,plain,
    product(product(product(a,b),product(b,c)),b) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,c)),product(c,b)) )],[refute_0_4410,refute_0_4413]) ).

cnf(refute_0_4415,plain,
    product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)))]]) ).

cnf(refute_0_4416,plain,
    ( product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | product(product(product(a,b),product(b,c)),b) != product(product(c,b),b)
    | product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_4417,plain,
    ( product(product(product(a,b),product(b,c)),b) != product(product(c,b),b)
    | product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))) )],[refute_0_4415,refute_0_4416]) ).

cnf(refute_0_4418,plain,
    product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(b,c)),b),product(product(c,b),b)) )],[refute_0_4414,refute_0_4417]) ).

cnf(refute_0_4419,plain,
    product(product(c,X_97),product(product(a,c),b)) = product(product(c,product(product(a,c),b)),product(X_97,product(product(a,c),b))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_24,$fot(X_97)),bind(X_26,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_4420,plain,
    bigC(c,product(a,b),product(a,b)) = product(product(c,product(a,b)),product(product(a,b),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4421,plain,
    bigC(product(a,b),product(a,b),c) = product(product(a,b),product(c,product(a,b))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(a,b))),bind(X_19,$fot(c))]]) ).

cnf(refute_0_4422,plain,
    bigC(product(c,b),difference(product(c,b),B),product(a,c)) = product(product(product(c,b),difference(product(c,b),B)),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(difference(product(c,b),B)))]]) ).

cnf(refute_0_4423,plain,
    product(product(c,b),difference(product(c,b),B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(c,b)))]]) ).

cnf(refute_0_4424,plain,
    ( bigC(product(c,b),difference(product(c,b),B),product(a,c)) != product(product(product(c,b),difference(product(c,b),B)),product(a,b))
    | product(product(c,b),difference(product(c,b),B)) != B
    | bigC(product(c,b),difference(product(c,b),B),product(a,c)) = product(B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),B),product(a,c)),product(product(product(c,b),difference(product(c,b),B)),product(a,b))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_4425,plain,
    ( bigC(product(c,b),difference(product(c,b),B),product(a,c)) != product(product(product(c,b),difference(product(c,b),B)),product(a,b))
    | bigC(product(c,b),difference(product(c,b),B),product(a,c)) = product(B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(c,b),B)),B) )],[refute_0_4423,refute_0_4424]) ).

cnf(refute_0_4426,plain,
    bigC(product(c,b),difference(product(c,b),B),product(a,c)) = product(B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),B),product(a,c)),product(product(product(c,b),difference(product(c,b),B)),product(a,b))) )],[refute_0_4422,refute_0_4425]) ).

cnf(refute_0_4427,plain,
    bigC(product(c,b),difference(product(c,b),B),product(a,c)) = bigC(product(c,b),product(a,c),difference(product(c,b),B)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c))),bind(C,$fot(difference(product(c,b),B)))]]) ).

cnf(refute_0_4428,plain,
    ( bigC(product(c,b),difference(product(c,b),B),product(a,c)) != bigC(product(c,b),product(a,c),difference(product(c,b),B))
    | bigC(product(c,b),difference(product(c,b),B),product(a,c)) != product(B,product(a,b))
    | bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),B),product(a,c)),product(B,product(a,b))) ),[0],$fot(bigC(product(c,b),product(a,c),difference(product(c,b),B)))]]) ).

cnf(refute_0_4429,plain,
    ( bigC(product(c,b),difference(product(c,b),B),product(a,c)) != product(B,product(a,b))
    | bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),B),product(a,c)),bigC(product(c,b),product(a,c),difference(product(c,b),B))) )],[refute_0_4427,refute_0_4428]) ).

cnf(refute_0_4430,plain,
    bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),B),product(a,c)),product(B,product(a,b))) )],[refute_0_4426,refute_0_4429]) ).

cnf(refute_0_4431,plain,
    product(difference(product(c,b),B),product(c,b)) = difference(product(c,b),product(B,product(c,b))),
    inference(subst,[],[refute_0_4216:[bind(X_59,$fot(product(c,b)))]]) ).

cnf(refute_0_4432,plain,
    product(c,product(difference(product(c,b),B),product(c,b))) = product(c,product(difference(product(c,b),B),product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,product(difference(product(c,b),B),product(c,b))))]]) ).

cnf(refute_0_4433,plain,
    ( product(c,product(difference(product(c,b),B),product(c,b))) != product(c,product(difference(product(c,b),B),product(c,b)))
    | product(difference(product(c,b),B),product(c,b)) != difference(product(c,b),product(B,product(c,b)))
    | product(c,product(difference(product(c,b),B),product(c,b))) = product(c,difference(product(c,b),product(B,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(product(c,b),B),product(c,b))),product(c,product(difference(product(c,b),B),product(c,b)))) ),[1,1],$fot(difference(product(c,b),product(B,product(c,b))))]]) ).

cnf(refute_0_4434,plain,
    ( product(difference(product(c,b),B),product(c,b)) != difference(product(c,b),product(B,product(c,b)))
    | product(c,product(difference(product(c,b),B),product(c,b))) = product(c,difference(product(c,b),product(B,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(c,b),B),product(c,b))),product(c,product(difference(product(c,b),B),product(c,b)))) )],[refute_0_4432,refute_0_4433]) ).

cnf(refute_0_4435,plain,
    product(c,product(difference(product(c,b),B),product(c,b))) = product(c,difference(product(c,b),product(B,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),B),product(c,b)),difference(product(c,b),product(B,product(c,b)))) )],[refute_0_4431,refute_0_4434]) ).

cnf(refute_0_4436,plain,
    bigC(product(c,b),difference(product(c,b),bigC(c,a,b)),X_19) = product(bigC(c,a,b),product(X_19,product(c,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(c,a,b))),bind(X_17,$fot(product(c,b)))]]) ).

cnf(refute_0_4437,plain,
    ( bigC(product(c,b),difference(product(c,b),bigC(c,a,b)),X_19) != product(bigC(c,a,b),product(X_19,product(c,b)))
    | difference(product(c,b),bigC(c,a,b)) != product(a,c)
    | bigC(product(c,b),product(a,c),X_19) = product(bigC(c,a,b),product(X_19,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),bigC(c,a,b)),X_19),product(bigC(c,a,b),product(X_19,product(c,b)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_4438,plain,
    ( bigC(product(c,b),difference(product(c,b),bigC(c,a,b)),X_19) != product(bigC(c,a,b),product(X_19,product(c,b)))
    | bigC(product(c,b),product(a,c),X_19) = product(bigC(c,a,b),product(X_19,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,a,b)),product(a,c)) )],[refute_0_4273,refute_0_4437]) ).

cnf(refute_0_4439,plain,
    bigC(product(c,b),product(a,c),X_19) = product(bigC(c,a,b),product(X_19,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),bigC(c,a,b)),X_19),product(bigC(c,a,b),product(X_19,product(c,b)))) )],[refute_0_4436,refute_0_4438]) ).

cnf(refute_0_4440,plain,
    product(bigC(c,a,b),product(X_19,product(c,b))) = product(bigC(c,a,b),product(X_19,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(X_19,product(c,b))))]]) ).

cnf(refute_0_4441,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(X_19,product(c,b))) != product(bigC(c,a,b),product(X_19,product(c,b)))
    | product(bigC(c,a,b),product(X_19,product(c,b))) = product(c,product(X_19,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(X_19,product(c,b))),product(bigC(c,a,b),product(X_19,product(c,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4442,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(X_19,product(c,b))) = product(c,product(X_19,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(X_19,product(c,b))),product(bigC(c,a,b),product(X_19,product(c,b)))) )],[refute_0_4440,refute_0_4441]) ).

cnf(refute_0_4443,plain,
    product(bigC(c,a,b),product(X_19,product(c,b))) = product(c,product(X_19,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4442]) ).

cnf(refute_0_4444,plain,
    ( bigC(product(c,b),product(a,c),X_19) != product(bigC(c,a,b),product(X_19,product(c,b)))
    | product(bigC(c,a,b),product(X_19,product(c,b))) != product(c,product(X_19,product(c,b)))
    | bigC(product(c,b),product(a,c),X_19) = product(c,product(X_19,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,c),X_19),product(c,product(X_19,product(c,b)))) ),[0],$fot(product(bigC(c,a,b),product(X_19,product(c,b))))]]) ).

cnf(refute_0_4445,plain,
    ( bigC(product(c,b),product(a,c),X_19) != product(bigC(c,a,b),product(X_19,product(c,b)))
    | bigC(product(c,b),product(a,c),X_19) = product(c,product(X_19,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(X_19,product(c,b))),product(c,product(X_19,product(c,b)))) )],[refute_0_4443,refute_0_4444]) ).

cnf(refute_0_4446,plain,
    bigC(product(c,b),product(a,c),X_19) = product(c,product(X_19,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),X_19),product(bigC(c,a,b),product(X_19,product(c,b)))) )],[refute_0_4439,refute_0_4445]) ).

cnf(refute_0_4447,plain,
    bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(c,product(difference(product(c,b),B),product(c,b))),
    inference(subst,[],[refute_0_4446:[bind(X_19,$fot(difference(product(c,b),B)))]]) ).

cnf(refute_0_4448,plain,
    ( bigC(product(c,b),product(a,c),difference(product(c,b),B)) != product(c,product(difference(product(c,b),B),product(c,b)))
    | product(c,product(difference(product(c,b),B),product(c,b))) != product(c,difference(product(c,b),product(B,product(c,b))))
    | bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(c,difference(product(c,b),product(B,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(a,c),difference(product(c,b),B)))),bind(Y,$fot(product(c,product(difference(product(c,b),B),product(c,b))))),bind(Z,$fot(product(c,difference(product(c,b),product(B,product(c,b))))))]]) ).

cnf(refute_0_4449,plain,
    ( product(c,product(difference(product(c,b),B),product(c,b))) != product(c,difference(product(c,b),product(B,product(c,b))))
    | bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(c,difference(product(c,b),product(B,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),difference(product(c,b),B)),product(c,product(difference(product(c,b),B),product(c,b)))) )],[refute_0_4447,refute_0_4448]) ).

cnf(refute_0_4450,plain,
    bigC(product(c,b),product(a,c),difference(product(c,b),B)) = product(c,difference(product(c,b),product(B,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(c,b),B),product(c,b))),product(c,difference(product(c,b),product(B,product(c,b))))) )],[refute_0_4435,refute_0_4449]) ).

cnf(refute_0_4451,plain,
    ( bigC(product(c,b),product(a,c),difference(product(c,b),B)) != product(B,product(a,b))
    | bigC(product(c,b),product(a,c),difference(product(c,b),B)) != product(c,difference(product(c,b),product(B,product(c,b))))
    | product(c,difference(product(c,b),product(B,product(c,b)))) = product(B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,c),difference(product(c,b),B)),product(B,product(a,b))) ),[0],$fot(product(c,difference(product(c,b),product(B,product(c,b)))))]]) ).

cnf(refute_0_4452,plain,
    ( bigC(product(c,b),product(a,c),difference(product(c,b),B)) != product(B,product(a,b))
    | product(c,difference(product(c,b),product(B,product(c,b)))) = product(B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),difference(product(c,b),B)),product(c,difference(product(c,b),product(B,product(c,b))))) )],[refute_0_4450,refute_0_4451]) ).

cnf(refute_0_4453,plain,
    product(c,difference(product(c,b),product(B,product(c,b)))) = product(B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),difference(product(c,b),B)),product(B,product(a,b))) )],[refute_0_4430,refute_0_4452]) ).

cnf(refute_0_4454,plain,
    product(c,difference(product(c,b),product(product(product(c,b),X_18),product(c,b)))) = product(product(product(c,b),X_18),product(a,b)),
    inference(subst,[],[refute_0_4453:[bind(B,$fot(product(product(c,b),X_18)))]]) ).

cnf(refute_0_4455,plain,
    bigC(product(c,b),X_18,product(c,b)) = product(product(product(c,b),X_18),product(c,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,b)))]]) ).

cnf(refute_0_4456,plain,
    ( bigC(product(c,b),X_18,product(c,b)) != product(product(product(c,b),X_18),product(c,b))
    | product(product(product(c,b),X_18),product(c,b)) = bigC(product(c,b),X_18,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),X_18,product(c,b)))),bind(Y,$fot(product(product(product(c,b),X_18),product(c,b))))]]) ).

cnf(refute_0_4457,plain,
    product(product(product(c,b),X_18),product(c,b)) = bigC(product(c,b),X_18,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(c,b)),product(product(product(c,b),X_18),product(c,b))) )],[refute_0_4455,refute_0_4456]) ).

cnf(refute_0_4458,plain,
    ( product(c,difference(product(c,b),product(product(product(c,b),X_18),product(c,b)))) != product(product(product(c,b),X_18),product(a,b))
    | product(product(product(c,b),X_18),product(c,b)) != bigC(product(c,b),X_18,product(c,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(product(product(c,b),X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),product(product(product(c,b),X_18),product(c,b)))),product(product(product(c,b),X_18),product(a,b))) ),[0,1,1],$fot(bigC(product(c,b),X_18,product(c,b)))]]) ).

cnf(refute_0_4459,plain,
    ( product(c,difference(product(c,b),product(product(product(c,b),X_18),product(c,b)))) != product(product(product(c,b),X_18),product(a,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(product(product(c,b),X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_18),product(c,b)),bigC(product(c,b),X_18,product(c,b))) )],[refute_0_4457,refute_0_4458]) ).

cnf(refute_0_4460,plain,
    product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(product(product(c,b),X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(product(product(c,b),X_18),product(c,b)))),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_4454,refute_0_4459]) ).

cnf(refute_0_4461,plain,
    bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),bigC(b,a,bigC(c,a,b)))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4462,plain,
    ( bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),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(c,a),b)
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),bigC(b,a,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4463,plain,
    ( bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),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_2586,refute_0_4462]) ).

cnf(refute_0_4464,plain,
    bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_4461,refute_0_4463]) ).

cnf(refute_0_4465,plain,
    bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)))]]) ).

cnf(refute_0_4466,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b))
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = bigC(bigC(b,a,c),B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b))) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_4467,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = bigC(bigC(b,a,c),B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b))) )],[refute_0_4465,refute_0_4466]) ).

cnf(refute_0_4468,plain,
    bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) = bigC(bigC(b,a,c),B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_4467]) ).

cnf(refute_0_4469,plain,
    ( bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != bigC(bigC(b,a,c),B,product(a,b))
    | bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))) ),[0],$fot(bigC(bigC(b,a,c),B,product(a,b)))]]) ).

cnf(refute_0_4470,plain,
    ( bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)),bigC(bigC(b,a,c),B,product(a,b))) )],[refute_0_4468,refute_0_4469]) ).

cnf(refute_0_4471,plain,
    product(product(bigC(b,a,c),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,c),B),product(product(c,a),b)))]]) ).

cnf(refute_0_4472,plain,
    ( product(product(bigC(b,a,c),B),product(product(c,a),b)) != product(product(bigC(b,a,c),B),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(b,a,c),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,c),B),product(product(c,a),b)),product(product(bigC(b,a,c),B),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_4473,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(b,a,c),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(product(c,a),b)),product(product(bigC(b,a,c),B),product(product(c,a),b))) )],[refute_0_4471,refute_0_4472]) ).

cnf(refute_0_4474,plain,
    product(product(bigC(b,a,c),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_4473]) ).

cnf(refute_0_4475,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_4476,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_4477,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_4475,refute_0_4476]) ).

cnf(refute_0_4478,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_2520,refute_0_4477]) ).

cnf(refute_0_4479,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)))]]) ).

cnf(refute_0_4480,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(c,a),b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))) ),[1,0],$fot(product(bigC(b,a,c),B))]]) ).

cnf(refute_0_4481,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(c,a),b)) = product(product(bigC(b,a,c),B),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))) )],[refute_0_4479,refute_0_4480]) ).

cnf(refute_0_4482,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),B),product(bigC(b,a,c),B)) )],[refute_0_4478,refute_0_4481]) ).

cnf(refute_0_4483,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) != product(product(bigC(b,a,c),B),product(product(c,a),b))
    | product(product(bigC(b,a,c),B),product(product(c,a),b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)))),bind(Y,$fot(product(product(bigC(b,a,c),B),product(product(c,a),b)))),bind(Z,$fot(product(product(bigC(b,a,c),B),product(c,product(c,b)))))]]) ).

cnf(refute_0_4484,plain,
    ( product(product(bigC(b,a,c),B),product(product(c,a),b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),product(product(bigC(b,a,c),B),product(product(c,a),b))) )],[refute_0_4482,refute_0_4483]) ).

cnf(refute_0_4485,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(product(c,a),b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) )],[refute_0_4474,refute_0_4484]) ).

cnf(refute_0_4486,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)) != product(product(bigC(b,a,c),B),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( ~ $equal(bigC(bigC(b,a,c),B,product(a,b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) ),[0],$fot(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)))]]) ).

cnf(refute_0_4487,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | 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(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) )],[refute_0_4485,refute_0_4486]) ).

cnf(refute_0_4488,plain,
    ( bigC(bigC(b,a,bigC(c,a,b)),B,product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))
    | 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,bigC(c,a,b)),B),product(product(c,a),b))) )],[refute_0_4470,refute_0_4487]) ).

cnf(refute_0_4489,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,bigC(c,a,b)),B,product(a,b)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(c,a),b))) )],[refute_0_4464,refute_0_4488]) ).

cnf(refute_0_4490,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_4491,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_4492,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_4490,refute_0_4491]) ).

cnf(refute_0_4493,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_2738,refute_0_4492]) ).

cnf(refute_0_4494,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_4495,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_4493,refute_0_4494]) ).

cnf(refute_0_4496,plain,
    product(product(c,B),product(c,product(c,b))) = product(c,product(B,product(c,b))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(B)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_4497,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_4498,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_4499,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_4497,refute_0_4498]) ).

cnf(refute_0_4500,plain,
    product(bigC(b,a,c),B) = product(c,B),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_4499]) ).

cnf(refute_0_4501,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_4502,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_4503,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_4501,refute_0_4502]) ).

cnf(refute_0_4504,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_4500,refute_0_4503]) ).

cnf(refute_0_4505,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_32:[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_4506,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_4504,refute_0_4505]) ).

cnf(refute_0_4507,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_4496,refute_0_4506]) ).

cnf(refute_0_4508,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_4509,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_4507,refute_0_4508]) ).

cnf(refute_0_4510,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_4495,refute_0_4509]) ).

cnf(refute_0_4511,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_4489,refute_0_4510]) ).

cnf(refute_0_4512,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_16:[bind(X,$fot(bigC(c,B,product(a,b)))),bind(Y,$fot(product(c,product(B,product(c,b)))))]]) ).

cnf(refute_0_4513,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_4511,refute_0_4512]) ).

cnf(refute_0_4514,plain,
    product(c,product(X_18,product(c,b))) = bigC(c,X_18,product(a,b)),
    inference(subst,[],[refute_0_4513:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_4515,plain,
    difference(product(c,b),bigC(product(c,b),X_18,product(c,b))) = product(X_18,product(c,b)),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(product(c,b))),bind(X_53,$fot(X_18))]]) ).

cnf(refute_0_4516,plain,
    product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))))]]) ).

cnf(refute_0_4517,plain,
    ( difference(product(c,b),bigC(product(c,b),X_18,product(c,b))) != product(X_18,product(c,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b))))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(c,product(X_18,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b))))) ),[1,1],$fot(product(X_18,product(c,b)))]]) ).

cnf(refute_0_4518,plain,
    ( difference(product(c,b),bigC(product(c,b),X_18,product(c,b))) != product(X_18,product(c,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(c,product(X_18,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b))))) )],[refute_0_4516,refute_0_4517]) ).

cnf(refute_0_4519,plain,
    product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = product(c,product(X_18,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),X_18,product(c,b))),product(X_18,product(c,b))) )],[refute_0_4515,refute_0_4518]) ).

cnf(refute_0_4520,plain,
    ( product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != product(c,product(X_18,product(c,b)))
    | product(c,product(X_18,product(c,b))) != bigC(c,X_18,product(a,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = bigC(c,X_18,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))))),bind(Y,$fot(product(c,product(X_18,product(c,b))))),bind(Z,$fot(bigC(c,X_18,product(a,b))))]]) ).

cnf(refute_0_4521,plain,
    ( product(c,product(X_18,product(c,b))) != bigC(c,X_18,product(a,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = bigC(c,X_18,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),product(c,product(X_18,product(c,b)))) )],[refute_0_4519,refute_0_4520]) ).

cnf(refute_0_4522,plain,
    product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) = bigC(c,X_18,product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_18,product(c,b))),bigC(c,X_18,product(a,b))) )],[refute_0_4514,refute_0_4521]) ).

cnf(refute_0_4523,plain,
    ( product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != bigC(c,X_18,product(a,b))
    | product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != product(product(product(c,b),X_18),product(a,b))
    | bigC(c,X_18,product(a,b)) = product(product(product(c,b),X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),product(product(product(c,b),X_18),product(a,b))) ),[0],$fot(bigC(c,X_18,product(a,b)))]]) ).

cnf(refute_0_4524,plain,
    ( product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != product(product(product(c,b),X_18),product(a,b))
    | bigC(c,X_18,product(a,b)) = product(product(product(c,b),X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),bigC(c,X_18,product(a,b))) )],[refute_0_4522,refute_0_4523]) ).

cnf(refute_0_4525,plain,
    bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) = product(product(product(a,b),B),product(bigC(b,a,bigC(c,a,b)),product(a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4526,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_789:[bind(X_15,$fot(product(b,bigC(c,a,b)))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_4527,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_4528,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_1299,refute_0_4527]) ).

cnf(refute_0_4529,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_4526,refute_0_4528]) ).

cnf(refute_0_4530,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_4531,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_4532,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_4530,refute_0_4531]) ).

cnf(refute_0_4533,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_1152,refute_0_4532]) ).

cnf(refute_0_4534,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_4535,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_4533,refute_0_4534]) ).

cnf(refute_0_4536,plain,
    product(product(product(b,a),a),product(product(bigC(c,a,b),b),b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b))),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_4537,plain,
    product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(product(product(b,a),a),product(product(bigC(c,a,b),b),b)),
    inference(subst,[],[refute_0_813:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_23,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(bigC(c,a,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_4538,plain,
    ( product(product(product(b,a),a),product(product(bigC(c,a,b),b),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(product(product(b,a),a),product(product(bigC(c,a,b),b),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_32:[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),a),product(product(bigC(c,a,b),b),b)))),bind(Z,$fot(product(bigC(b,a,bigC(c,a,b)),product(a,b))))]]) ).

cnf(refute_0_4539,plain,
    ( product(product(product(b,a),a),product(product(bigC(c,a,b),b),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(product(product(b,a),a),product(product(bigC(c,a,b),b),b))) )],[refute_0_4537,refute_0_4538]) ).

cnf(refute_0_4540,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(product(product(b,a),a),product(product(bigC(c,a,b),b),b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_4536,refute_0_4539]) ).

cnf(refute_0_4541,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_4542,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_4540,refute_0_4541]) ).

cnf(refute_0_4543,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_4535,refute_0_4542]) ).

cnf(refute_0_4544,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_4529,refute_0_4543]) ).

cnf(refute_0_4545,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_16:[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_4546,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_4544,refute_0_4545]) ).

cnf(refute_0_4547,plain,
    ( bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) != product(product(product(a,b),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))
    | bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))),product(product(product(a,b),B),product(bigC(b,a,bigC(c,a,b)),product(a,b)))) ),[1,1],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_4548,plain,
    ( bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) != product(product(product(a,b),B),product(bigC(b,a,bigC(c,a,b)),product(a,b)))
    | bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),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_4546,refute_0_4547]) ).

cnf(refute_0_4549,plain,
    bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))),product(product(product(a,b),B),product(bigC(b,a,bigC(c,a,b)),product(a,b)))) )],[refute_0_4525,refute_0_4548]) ).

cnf(refute_0_4550,plain,
    bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71,bigC(b,a,bigC(c,a,b))) = product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(quotient(product(a,b),product(product(a,c),b)))),bind(X_18,$fot(X_71)),bind(X_19,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4551,plain,
    difference(bigC(b,a,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) = product(a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(b,a,bigC(c,a,b)))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_4552,plain,
    ( difference(bigC(b,a,bigC(c,a,b)),product(bigC(b,a,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))
    | difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))),product(a,b)) ),[0,1],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_4553,plain,
    ( difference(bigC(b,a,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) != product(a,b)
    | difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) = product(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_4546,refute_0_4552]) ).

cnf(refute_0_4554,plain,
    difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))),product(a,b)) )],[refute_0_4551,refute_0_4553]) ).

cnf(refute_0_4555,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71,bigC(b,a,bigC(c,a,b))) != product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))
    | difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) != product(a,b)
    | bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71,bigC(b,a,bigC(c,a,b))),product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_4556,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71,bigC(b,a,bigC(c,a,b))) != product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),product(a,b)) )],[refute_0_4554,refute_0_4555]) ).

cnf(refute_0_4557,plain,
    bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71,bigC(b,a,bigC(c,a,b))),product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4550,refute_0_4556]) ).

cnf(refute_0_4558,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(C,product(a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4559,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(C,product(a,b)))
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),b),product(C,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(C,product(a,b)))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4560,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(C,product(a,b)))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),b),product(C,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_4559]) ).

cnf(refute_0_4561,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),b),product(C,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(C,product(a,b)))) )],[refute_0_4558,refute_0_4560]) ).

cnf(refute_0_4562,plain,
    product(product(product(c,a),C),bigC(b,b,a)) = product(product(product(c,a),C),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),C),bigC(b,b,a)))]]) ).

cnf(refute_0_4563,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(product(c,a),C),bigC(b,b,a)) != product(product(product(c,a),C),bigC(b,b,a))
    | product(product(product(c,a),C),bigC(b,b,a)) = product(product(product(c,a),C),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),C),bigC(b,b,a)),product(product(product(c,a),C),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4564,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(product(c,a),C),bigC(b,b,a)) = product(product(product(c,a),C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),C),bigC(b,b,a)),product(product(product(c,a),C),bigC(b,b,a))) )],[refute_0_4562,refute_0_4563]) ).

cnf(refute_0_4565,plain,
    product(product(product(c,a),C),bigC(b,b,a)) = product(product(product(c,a),C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_4564]) ).

cnf(refute_0_4566,plain,
    product(product(product(c,a),b),product(C,product(a,b))) = product(product(product(c,a),C),bigC(b,b,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(c,a))),bind(B,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_4567,plain,
    ( product(product(product(c,a),C),bigC(b,b,a)) != product(product(product(c,a),C),bigC(b,a,b))
    | product(product(product(c,a),b),product(C,product(a,b))) != product(product(product(c,a),C),bigC(b,b,a))
    | product(product(product(c,a),b),product(C,product(a,b))) = product(product(product(c,a),C),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),b),product(C,product(a,b))))),bind(Y,$fot(product(product(product(c,a),C),bigC(b,b,a)))),bind(Z,$fot(product(product(product(c,a),C),bigC(b,a,b))))]]) ).

cnf(refute_0_4568,plain,
    ( product(product(product(c,a),C),bigC(b,b,a)) != product(product(product(c,a),C),bigC(b,a,b))
    | product(product(product(c,a),b),product(C,product(a,b))) = product(product(product(c,a),C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(C,product(a,b))),product(product(product(c,a),C),bigC(b,b,a))) )],[refute_0_4566,refute_0_4567]) ).

cnf(refute_0_4569,plain,
    product(product(product(c,a),b),product(C,product(a,b))) = product(product(product(c,a),C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),C),bigC(b,b,a)),product(product(product(c,a),C),bigC(b,a,b))) )],[refute_0_4565,refute_0_4568]) ).

cnf(refute_0_4570,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(c,a),b),product(C,product(a,b)))
    | product(product(product(c,a),b),product(C,product(a,b))) != product(product(product(c,a),C),bigC(b,a,b))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),C),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),product(product(product(c,a),C),bigC(b,a,b))) ),[0],$fot(product(product(product(c,a),b),product(C,product(a,b))))]]) ).

cnf(refute_0_4571,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(c,a),b),product(C,product(a,b)))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(C,product(a,b))),product(product(product(c,a),C),bigC(b,a,b))) )],[refute_0_4569,refute_0_4570]) ).

cnf(refute_0_4572,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = product(product(product(c,a),C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),product(product(product(c,a),b),product(C,product(a,b)))) )],[refute_0_4561,refute_0_4571]) ).

cnf(refute_0_4573,plain,
    product(product(product(c,b),a),product(X_25,b)) = product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(c,b),a))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_4574,plain,
    product(product(product(c,b),a),product(X_25,b)) = bigC(product(c,b),X_25,product(a,c)),
    inference(subst,[],[refute_0_3634:[bind(C,$fot(X_25))]]) ).

cnf(refute_0_4575,plain,
    ( product(product(product(c,b),a),product(X_25,b)) != bigC(product(c,b),X_25,product(a,c))
    | product(product(product(c,b),a),product(X_25,b)) != product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))
    | bigC(product(c,b),X_25,product(a,c)) = product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),product(X_25,b)),product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))) ),[0],$fot(bigC(product(c,b),X_25,product(a,c)))]]) ).

cnf(refute_0_4576,plain,
    ( product(product(product(c,b),a),product(X_25,b)) != product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))
    | bigC(product(c,b),X_25,product(a,c)) = product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(X_25,b)),bigC(product(c,b),X_25,product(a,c))) )],[refute_0_4574,refute_0_4575]) ).

cnf(refute_0_4577,plain,
    bigC(product(c,b),X_25,product(a,c)) = product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(X_25,b)),product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))) )],[refute_0_4573,refute_0_4576]) ).

cnf(refute_0_4578,plain,
    product(product(product(c,a),product(b,a)),product(X_25,b)) = product(product(product(c,a),X_25),bigC(b,a,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(a)),bind(X_23,$fot(product(c,a))),bind(X_24,$fot(X_25)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_4579,plain,
    product(product(product(c,b),product(a,a)),product(X_25,b)) = product(product(product(c,a),product(b,a)),product(X_25,b)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(a)),bind(X_44,$fot(product(X_25,b)))]]) ).

cnf(refute_0_4580,plain,
    ( product(product(product(c,a),product(b,a)),product(X_25,b)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | product(product(product(c,b),product(a,a)),product(X_25,b)) != product(product(product(c,a),product(b,a)),product(X_25,b))
    | product(product(product(c,b),product(a,a)),product(X_25,b)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(a,a)),product(X_25,b)))),bind(Y,$fot(product(product(product(c,a),product(b,a)),product(X_25,b)))),bind(Z,$fot(product(product(product(c,a),X_25),bigC(b,a,b))))]]) ).

cnf(refute_0_4581,plain,
    ( product(product(product(c,a),product(b,a)),product(X_25,b)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | product(product(product(c,b),product(a,a)),product(X_25,b)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,a)),product(X_25,b)),product(product(product(c,a),product(b,a)),product(X_25,b))) )],[refute_0_4579,refute_0_4580]) ).

cnf(refute_0_4582,plain,
    product(product(product(c,b),product(a,a)),product(X_25,b)) = product(product(product(c,a),X_25),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(b,a)),product(X_25,b)),product(product(product(c,a),X_25),bigC(b,a,b))) )],[refute_0_4578,refute_0_4581]) ).

cnf(refute_0_4583,plain,
    product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) = product(product(product(c,b),product(a,a)),product(X_25,b)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(X_25)),bind(D,$fot(b)),bind(X_65,$fot(product(c,b))),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_4584,plain,
    ( product(product(product(c,b),product(a,a)),product(X_25,b)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) != product(product(product(c,b),product(a,a)),product(X_25,b))
    | product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)))),bind(Y,$fot(product(product(product(c,b),product(a,a)),product(X_25,b)))),bind(Z,$fot(product(product(product(c,a),X_25),bigC(b,a,b))))]]) ).

cnf(refute_0_4585,plain,
    ( product(product(product(c,b),product(a,a)),product(X_25,b)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)),product(product(product(c,b),product(a,a)),product(X_25,b))) )],[refute_0_4583,refute_0_4584]) ).

cnf(refute_0_4586,plain,
    product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) = product(product(product(c,a),X_25),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,a)),product(X_25,b)),product(product(product(c,a),X_25),bigC(b,a,b))) )],[refute_0_4582,refute_0_4585]) ).

cnf(refute_0_4587,plain,
    ( bigC(product(c,b),X_25,product(a,c)) != product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))
    | product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | bigC(product(c,b),X_25,product(a,c)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_25,product(a,c)),product(product(product(c,a),X_25),bigC(b,a,b))) ),[0],$fot(product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)))]]) ).

cnf(refute_0_4588,plain,
    ( bigC(product(c,b),X_25,product(a,c)) != product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))
    | bigC(product(c,b),X_25,product(a,c)) = product(product(product(c,a),X_25),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b)),product(product(product(c,a),X_25),bigC(b,a,b))) )],[refute_0_4586,refute_0_4587]) ).

cnf(refute_0_4589,plain,
    bigC(product(c,b),X_25,product(a,c)) = product(product(product(c,a),X_25),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_25,product(a,c)),product(product(product(product(c,b),a),X_25),product(product(product(c,b),a),b))) )],[refute_0_4577,refute_0_4588]) ).

cnf(refute_0_4590,plain,
    ( bigC(product(c,b),X_25,product(a,c)) != product(product(product(c,a),X_25),bigC(b,a,b))
    | product(product(product(c,a),X_25),bigC(b,a,b)) = bigC(product(c,b),X_25,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),X_25,product(a,c)))),bind(Y,$fot(product(product(product(c,a),X_25),bigC(b,a,b))))]]) ).

cnf(refute_0_4591,plain,
    product(product(product(c,a),X_25),bigC(b,a,b)) = bigC(product(c,b),X_25,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_25,product(a,c)),product(product(product(c,a),X_25),bigC(b,a,b))) )],[refute_0_4589,refute_0_4590]) ).

cnf(refute_0_4592,plain,
    product(product(product(c,a),C),bigC(b,a,b)) = bigC(product(c,b),C,product(a,c)),
    inference(subst,[],[refute_0_4591:[bind(X_25,$fot(C))]]) ).

cnf(refute_0_4593,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(c,a),C),bigC(b,a,b))
    | product(product(product(c,a),C),bigC(b,a,b)) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(c,b),C,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(c,b),C,product(a,c))) ),[0],$fot(product(product(product(c,a),C),bigC(b,a,b)))]]) ).

cnf(refute_0_4594,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != product(product(product(c,a),C),bigC(b,a,b))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),C),bigC(b,a,b)),bigC(product(c,b),C,product(a,c))) )],[refute_0_4592,refute_0_4593]) ).

cnf(refute_0_4595,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),product(product(product(c,a),C),bigC(b,a,b))) )],[refute_0_4572,refute_0_4594]) ).

cnf(refute_0_4596,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(c,b),X_71,product(a,c)),
    inference(subst,[],[refute_0_4595:[bind(C,$fot(X_71))]]) ).

cnf(refute_0_4597,plain,
    bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71))]]) ).

cnf(refute_0_4598,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) != bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71)
    | difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) != product(a,b)
    | bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71)) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_4599,plain,
    ( difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))) != product(a,b)
    | bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71)) )],[refute_0_4597,refute_0_4598]) ).

cnf(refute_0_4600,plain,
    bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),product(a,b)) )],[refute_0_4554,refute_0_4599]) ).

cnf(refute_0_4601,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) != bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71) != bigC(product(c,b),X_71,product(a,c))
    | bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(c,b),X_71,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71))),bind(Y,$fot(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71))),bind(Z,$fot(bigC(product(c,b),X_71,product(a,c))))]]) ).

cnf(refute_0_4602,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71) != bigC(product(c,b),X_71,product(a,c))
    | bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(c,b),X_71,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71)) )],[refute_0_4600,refute_0_4601]) ).

cnf(refute_0_4603,plain,
    bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) = bigC(product(c,b),X_71,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),X_71),bigC(product(c,b),X_71,product(a,c))) )],[refute_0_4596,refute_0_4602]) ).

cnf(refute_0_4604,plain,
    product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) = bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(X_71)),bind(X_70,$fot(quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4605,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) != bigC(product(c,b),X_71,product(a,c))
    | product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) != bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71)
    | product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) = bigC(product(c,b),X_71,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))))),bind(Y,$fot(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71))),bind(Z,$fot(bigC(product(c,b),X_71,product(a,c))))]]) ).

cnf(refute_0_4606,plain,
    ( bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71) != bigC(product(c,b),X_71,product(a,c))
    | product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) = bigC(product(c,b),X_71,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))),bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71)) )],[refute_0_4604,refute_0_4605]) ).

cnf(refute_0_4607,plain,
    product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) = bigC(product(c,b),X_71,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),bigC(b,a,bigC(c,a,b)),X_71),bigC(product(c,b),X_71,product(a,c))) )],[refute_0_4603,refute_0_4606]) ).

cnf(refute_0_4608,plain,
    ( bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) != product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))
    | product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))) != bigC(product(c,b),X_71,product(a,c))
    | bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = bigC(product(c,b),X_71,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))),bigC(product(c,b),X_71,product(a,c))) ),[0],$fot(product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4609,plain,
    ( bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) != product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = bigC(product(c,b),X_71,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b))),bigC(product(c,b),X_71,product(a,c))) )],[refute_0_4607,refute_0_4608]) ).

cnf(refute_0_4610,plain,
    bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))) = bigC(product(c,b),X_71,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_71,bigC(b,a,bigC(c,a,b))),product(product(difference(bigC(b,a,bigC(c,a,b)),quotient(product(a,b),product(product(a,c),b))),X_71),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4557,refute_0_4609]) ).

cnf(refute_0_4611,plain,
    bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) = bigC(product(c,b),B,product(a,c)),
    inference(subst,[],[refute_0_4610:[bind(X_71,$fot(B))]]) ).

cnf(refute_0_4612,plain,
    ( bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) != bigC(product(c,b),B,product(a,c))
    | bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) != product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(c,b),B,product(a,c)) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))),product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))) ),[0],$fot(bigC(product(c,b),B,product(a,c)))]]) ).

cnf(refute_0_4613,plain,
    ( bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))) != product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(c,b),B,product(a,c)) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))),bigC(product(c,b),B,product(a,c))) )],[refute_0_4611,refute_0_4612]) ).

cnf(refute_0_4614,plain,
    bigC(product(c,b),B,product(a,c)) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,bigC(c,a,b))),product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4549,refute_0_4613]) ).

cnf(refute_0_4615,plain,
    product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))) = bigC(product(a,b),B,bigC(b,a,c)),
    inference(subst,[],[refute_0_117:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_4616,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_4617,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_4618,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_4616,refute_0_4617]) ).

cnf(refute_0_4619,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_2520,refute_0_4618]) ).

cnf(refute_0_4620,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_4621,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_4619,refute_0_4620]) ).

cnf(refute_0_4622,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_4544,refute_0_4621]) ).

cnf(refute_0_4623,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4624,plain,
    ( product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))) ),[1,1],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_4625,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4623,refute_0_4624]) ).

cnf(refute_0_4626,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),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,c),product(a,b))) )],[refute_0_4622,refute_0_4625]) ).

cnf(refute_0_4627,plain,
    ( product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))) != bigC(product(a,b),B,bigC(b,a,c))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),product(bigC(b,a,c),product(a,b)))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,bigC(b,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))))),bind(Y,$fot(product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))))),bind(Z,$fot(bigC(product(a,b),B,bigC(b,a,c))))]]) ).

cnf(refute_0_4628,plain,
    ( product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))) != bigC(product(a,b),B,bigC(b,a,c))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),product(bigC(b,a,c),product(a,b)))) )],[refute_0_4626,refute_0_4627]) ).

cnf(refute_0_4629,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),product(a,b))),bigC(product(a,b),B,bigC(b,a,c))) )],[refute_0_4615,refute_0_4628]) ).

cnf(refute_0_4630,plain,
    ( bigC(product(c,b),B,product(a,c)) != product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))
    | product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))) != bigC(product(a,b),B,bigC(b,a,c))
    | bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),B,product(a,c)),bigC(product(a,b),B,bigC(b,a,c))) ),[0],$fot(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4631,plain,
    ( bigC(product(c,b),B,product(a,c)) != product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b))),bigC(product(a,b),B,bigC(b,a,c))) )],[refute_0_4629,refute_0_4630]) ).

cnf(refute_0_4632,plain,
    bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,product(a,c)),product(product(product(a,b),B),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4614,refute_0_4631]) ).

cnf(refute_0_4633,plain,
    bigC(product(a,b),B,bigC(b,a,c)) = bigC(product(a,b),B,bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),B,bigC(b,a,c)))]]) ).

cnf(refute_0_4634,plain,
    ( bigC(b,a,c) != c
    | bigC(product(a,b),B,bigC(b,a,c)) != bigC(product(a,b),B,bigC(b,a,c))
    | bigC(product(a,b),B,bigC(b,a,c)) = bigC(product(a,b),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,c)),bigC(product(a,b),B,bigC(b,a,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_4635,plain,
    ( bigC(b,a,c) != c
    | bigC(product(a,b),B,bigC(b,a,c)) = bigC(product(a,b),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,c)),bigC(product(a,b),B,bigC(b,a,c))) )],[refute_0_4633,refute_0_4634]) ).

cnf(refute_0_4636,plain,
    bigC(product(a,b),B,bigC(b,a,c)) = bigC(product(a,b),B,c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_4635]) ).

cnf(refute_0_4637,plain,
    ( bigC(product(a,b),B,bigC(b,a,c)) != bigC(product(a,b),B,c)
    | bigC(product(c,b),B,product(a,c)) != bigC(product(a,b),B,bigC(b,a,c))
    | bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),B,product(a,c)),bigC(product(a,b),B,bigC(b,a,c))) ),[1],$fot(bigC(product(a,b),B,c))]]) ).

cnf(refute_0_4638,plain,
    ( bigC(product(c,b),B,product(a,c)) != bigC(product(a,b),B,bigC(b,a,c))
    | bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,bigC(b,a,c)),bigC(product(a,b),B,c)) )],[refute_0_4636,refute_0_4637]) ).

cnf(refute_0_4639,plain,
    bigC(product(c,b),B,product(a,c)) = bigC(product(a,b),B,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),B,product(a,c)),bigC(product(a,b),B,bigC(b,a,c))) )],[refute_0_4632,refute_0_4638]) ).

cnf(refute_0_4640,plain,
    bigC(product(c,b),X_18,product(a,c)) = bigC(product(a,b),X_18,c),
    inference(subst,[],[refute_0_4639:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_4641,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != bigC(product(a,b),X_18,c)
    | bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,b),X_18),product(a,b))
    | bigC(product(a,b),X_18,c) = product(product(product(c,b),X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,b),X_18),product(a,b))) ),[0],$fot(bigC(product(a,b),X_18,c))]]) ).

cnf(refute_0_4642,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,b),X_18),product(a,b))
    | bigC(product(a,b),X_18,c) = product(product(product(c,b),X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),bigC(product(a,b),X_18,c)) )],[refute_0_4640,refute_0_4641]) ).

cnf(refute_0_4643,plain,
    bigC(product(a,b),X_18,c) = product(product(product(c,b),X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_106,refute_0_4642]) ).

cnf(refute_0_4644,plain,
    ( bigC(product(a,b),X_18,c) != product(product(product(c,b),X_18),product(a,b))
    | product(product(product(c,b),X_18),product(a,b)) = bigC(product(a,b),X_18,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),X_18,c))),bind(Y,$fot(product(product(product(c,b),X_18),product(a,b))))]]) ).

cnf(refute_0_4645,plain,
    product(product(product(c,b),X_18),product(a,b)) = bigC(product(a,b),X_18,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_18,c),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_4643,refute_0_4644]) ).

cnf(refute_0_4646,plain,
    ( bigC(c,X_18,product(a,b)) != product(product(product(c,b),X_18),product(a,b))
    | product(product(product(c,b),X_18),product(a,b)) != bigC(product(a,b),X_18,c)
    | bigC(c,X_18,product(a,b)) = bigC(product(a,b),X_18,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(a,b)),bigC(product(a,b),X_18,c)) ),[0],$fot(product(product(product(c,b),X_18),product(a,b)))]]) ).

cnf(refute_0_4647,plain,
    ( bigC(c,X_18,product(a,b)) != product(product(product(c,b),X_18),product(a,b))
    | bigC(c,X_18,product(a,b)) = bigC(product(a,b),X_18,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_18),product(a,b)),bigC(product(a,b),X_18,c)) )],[refute_0_4645,refute_0_4646]) ).

cnf(refute_0_4648,plain,
    ( product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))) != product(product(product(c,b),X_18),product(a,b))
    | bigC(c,X_18,product(a,b)) = bigC(product(a,b),X_18,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,b)),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_4524,refute_0_4647]) ).

cnf(refute_0_4649,plain,
    bigC(c,X_18,product(a,b)) = bigC(product(a,b),X_18,c),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(product(c,b),X_18,product(c,b)))),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_4460,refute_0_4648]) ).

cnf(refute_0_4650,plain,
    bigC(c,product(a,b),product(a,b)) = bigC(product(a,b),product(a,b),c),
    inference(subst,[],[refute_0_4649:[bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_4651,plain,
    ( bigC(c,product(a,b),product(a,b)) != bigC(product(a,b),product(a,b),c)
    | bigC(product(a,b),product(a,b),c) = bigC(c,product(a,b),product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(a,b),product(a,b)))),bind(Y,$fot(bigC(product(a,b),product(a,b),c)))]]) ).

cnf(refute_0_4652,plain,
    bigC(product(a,b),product(a,b),c) = bigC(c,product(a,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),bigC(product(a,b),product(a,b),c)) )],[refute_0_4650,refute_0_4651]) ).

cnf(refute_0_4653,plain,
    ( bigC(product(a,b),product(a,b),c) != bigC(c,product(a,b),product(a,b))
    | bigC(product(a,b),product(a,b),c) != product(product(a,b),product(c,product(a,b)))
    | bigC(c,product(a,b),product(a,b)) = product(product(a,b),product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(c,product(a,b)))) ),[0],$fot(bigC(c,product(a,b),product(a,b)))]]) ).

cnf(refute_0_4654,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(c,product(a,b)))
    | bigC(c,product(a,b),product(a,b)) = product(product(a,b),product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),bigC(c,product(a,b),product(a,b))) )],[refute_0_4652,refute_0_4653]) ).

cnf(refute_0_4655,plain,
    bigC(c,product(a,b),product(a,b)) = product(product(a,b),product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(c,product(a,b)))) )],[refute_0_4421,refute_0_4654]) ).

cnf(refute_0_4656,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(a,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,b))),bind(X_18,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4657,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(a,b))
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(product(c,a),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(a,b))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4658,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(a,b))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(product(c,a),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_4657]) ).

cnf(refute_0_4659,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(product(c,a),b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(a,b))) )],[refute_0_4656,refute_0_4658]) ).

cnf(refute_0_4660,plain,
    bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),product(bigC(b,a,bigC(c,a,b)),product(a,b))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(a,b))),bind(X_19,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4661,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(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)) != quotient(product(a,b),product(product(a,c),b))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),product(bigC(b,a,bigC(c,a,b)),product(a,b)))) ),[1,1],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_4662,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,b),product(bigC(b,a,bigC(c,a,b)),product(a,b)))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),quotient(product(a,b),product(product(a,c),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_4546,refute_0_4661]) ).

cnf(refute_0_4663,plain,
    bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),product(bigC(b,a,bigC(c,a,b)),product(a,b)))) )],[refute_0_4660,refute_0_4662]) ).

cnf(refute_0_4664,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))]]) ).

cnf(refute_0_4665,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4666,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_4664,refute_0_4665]) ).

cnf(refute_0_4667,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_4666]) ).

cnf(refute_0_4668,plain,
    bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(b))]]) ).

cnf(refute_0_4669,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))),bind(Y,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))))]]) ).

cnf(refute_0_4670,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_4668,refute_0_4669]) ).

cnf(refute_0_4671,plain,
    bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_4667,refute_0_4670]) ).

cnf(refute_0_4672,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) ),[0],$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_4673,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_4671,refute_0_4672]) ).

cnf(refute_0_4674,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4663,refute_0_4673]) ).

cnf(refute_0_4675,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))),bind(Y,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))),bind(Z,$fot(product(product(a,b),quotient(product(a,b),product(product(a,c),b)))))]]) ).

cnf(refute_0_4676,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_4667,refute_0_4675]) ).

cnf(refute_0_4677,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4674,refute_0_4676]) ).

cnf(refute_0_4678,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4679,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)))),bind(Y,$fot(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))),bind(Z,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))))]]) ).

cnf(refute_0_4680,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_4678,refute_0_4679]) ).

cnf(refute_0_4681,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_4668,refute_0_4680]) ).

cnf(refute_0_4682,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)))),bind(Y,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(a,b),quotient(product(a,b),product(product(a,c),b)))))]]) ).

cnf(refute_0_4683,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_4681,refute_0_4682]) ).

cnf(refute_0_4684,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4677,refute_0_4683]) ).

cnf(refute_0_4685,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(product(c,a),b),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(product(c,a),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(product(c,a),b),product(a,b))) ),[0],$fot(product(product(a,b),quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4686,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(product(c,a),b),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(product(c,a),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4684,refute_0_4685]) ).

cnf(refute_0_4687,plain,
    product(product(product(c,a),b),product(a,b)) = product(product(product(c,a),a),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(product(c,a))),bind(X_24,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_4688,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),b),product(a,b))
    | product(product(product(c,a),b),product(a,b)) != product(product(product(c,a),a),b)
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(product(c,a),a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),a),b)) ),[0],$fot(product(product(product(c,a),b),product(a,b)))]]) ).

cnf(refute_0_4689,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),b),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),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),b)) )],[refute_0_4687,refute_0_4688]) ).

cnf(refute_0_4690,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)) != product(product(product(c,a),b),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),b),product(a,b))) )],[refute_0_4686,refute_0_4689]) ).

cnf(refute_0_4691,plain,
    product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),product(a,b)),product(product(product(c,a),b),product(a,b))) )],[refute_0_4659,refute_0_4690]) ).

cnf(refute_0_4692,plain,
    product(product(a,c),bigC(b,b,a)) = product(product(a,c),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,c),bigC(b,b,a)))]]) ).

cnf(refute_0_4693,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,c),bigC(b,b,a)) != product(product(a,c),bigC(b,b,a))
    | product(product(a,c),bigC(b,b,a)) = product(product(a,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(a,c),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4694,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,c),bigC(b,b,a)) = product(product(a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(a,c),bigC(b,b,a))) )],[refute_0_4692,refute_0_4693]) ).

cnf(refute_0_4695,plain,
    product(product(a,c),bigC(b,b,a)) = product(product(a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_4694]) ).

cnf(refute_0_4696,plain,
    product(product(a,b),product(c,product(a,b))) = product(product(a,c),bigC(b,b,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_4697,plain,
    ( product(product(a,b),product(c,product(a,b))) != product(product(a,c),bigC(b,b,a))
    | product(product(a,c),bigC(b,b,a)) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),product(c,product(a,b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(c,product(a,b))))),bind(Y,$fot(product(product(a,c),bigC(b,b,a)))),bind(Z,$fot(product(product(a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_4698,plain,
    ( product(product(a,c),bigC(b,b,a)) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),product(c,product(a,b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(a,b))),product(product(a,c),bigC(b,b,a))) )],[refute_0_4696,refute_0_4697]) ).

cnf(refute_0_4699,plain,
    product(product(a,b),product(c,product(a,b))) = product(product(a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(a,c),bigC(b,a,b))) )],[refute_0_4695,refute_0_4698]) ).

cnf(refute_0_4700,plain,
    product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,b))),bind(X_25,$fot(bigC(b,a,bigC(c,a,b)))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_4701,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(product(c,a),b),product(product(a,b),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),X_67))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4702,plain,
    ( product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(product(c,a),b),product(product(a,b),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_4701]) ).

cnf(refute_0_4703,plain,
    product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(product(c,a),b),product(product(a,b),X_67)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),X_67))) )],[refute_0_4700,refute_0_4702]) ).

cnf(refute_0_4704,plain,
    product(bigC(b,a,bigC(c,a,b)),X_67) = product(bigC(b,a,bigC(c,a,b)),X_67),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),X_67))]]) ).

cnf(refute_0_4705,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),X_67) != product(bigC(b,a,bigC(c,a,b)),X_67)
    | product(bigC(b,a,bigC(c,a,b)),X_67) = product(bigC(b,a,c),X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),X_67),product(bigC(b,a,bigC(c,a,b)),X_67)) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_4706,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),X_67) = product(bigC(b,a,c),X_67) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),X_67),product(bigC(b,a,bigC(c,a,b)),X_67)) )],[refute_0_4704,refute_0_4705]) ).

cnf(refute_0_4707,plain,
    product(bigC(b,a,bigC(c,a,b)),X_67) = product(bigC(b,a,c),X_67),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_4706]) ).

cnf(refute_0_4708,plain,
    product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_4709,plain,
    ( product(bigC(b,a,bigC(c,a,b)),X_67) != product(bigC(b,a,c),X_67)
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(a,b),product(bigC(b,a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67))) ),[1,1],$fot(product(bigC(b,a,c),X_67))]]) ).

cnf(refute_0_4710,plain,
    ( product(bigC(b,a,bigC(c,a,b)),X_67) != product(bigC(b,a,c),X_67)
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(a,b),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_4708,refute_0_4709]) ).

cnf(refute_0_4711,plain,
    product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(product(a,b),product(bigC(b,a,c),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),X_67),product(bigC(b,a,c),X_67)) )],[refute_0_4707,refute_0_4710]) ).

cnf(refute_0_4712,plain,
    ( product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(a,b),product(bigC(b,a,c),X_67))
    | product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(product(c,a),b),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(product(c,a),b),product(product(a,b),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(product(c,a),b),product(product(a,b),X_67))) ),[0],$fot(product(product(a,b),product(bigC(b,a,c),X_67)))]]) ).

cnf(refute_0_4713,plain,
    ( product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(product(c,a),b),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(product(c,a),b),product(product(a,b),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(a,b),product(bigC(b,a,c),X_67))) )],[refute_0_4711,refute_0_4712]) ).

cnf(refute_0_4714,plain,
    product(product(a,c),product(b,X_67)) = product(product(a,b),product(c,X_67)),
    inference(subst,[],[refute_0_743:[bind(B,$fot(b)),bind(D,$fot(X_67))]]) ).

cnf(refute_0_4715,plain,
    product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(product(bigC(c,a,b),a),product(a,b)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(bigC(c,a,b),a))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4716,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(B,D))
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(product(bigC(c,a,b),a),product(a,b)),product(B,D))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_4717,plain,
    ( product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(B,D))
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_834,refute_0_4716]) ).

cnf(refute_0_4718,plain,
    product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(product(bigC(c,a,b),a),product(a,b)),product(B,D))) )],[refute_0_4715,refute_0_4717]) ).

cnf(refute_0_4719,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_4720,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_4721,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_4719,refute_0_4720]) ).

cnf(refute_0_4722,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_878,refute_0_4721]) ).

cnf(refute_0_4723,plain,
    product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)))]]) ).

cnf(refute_0_4724,plain,
    ( product(product(bigC(c,a,b),a),B) != product(product(c,a),B)
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(product(bigC(c,a,b),a),B),product(product(a,b),D))
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(product(c,a),B),product(product(a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(product(bigC(c,a,b),a),B),product(product(a,b),D))) ),[1,0],$fot(product(product(c,a),B))]]) ).

cnf(refute_0_4725,plain,
    ( product(product(bigC(c,a,b),a),B) != product(product(c,a),B)
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(product(c,a),B),product(product(a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(product(bigC(c,a,b),a),B),product(product(a,b),D))) )],[refute_0_4723,refute_0_4724]) ).

cnf(refute_0_4726,plain,
    product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) = product(product(product(c,a),B),product(product(a,b),D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),B),product(product(c,a),B)) )],[refute_0_4722,refute_0_4725]) ).

cnf(refute_0_4727,plain,
    ( product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(a,c),product(B,D))
    | product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(product(c,a),B),product(product(a,b),D))
    | product(product(product(c,a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(a,c),product(B,D))) ),[0],$fot(product(product(product(c,a),B),product(product(a,b),D)))]]) ).

cnf(refute_0_4728,plain,
    ( product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)) != product(product(a,c),product(B,D))
    | product(product(product(c,a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(product(c,a),B),product(product(a,b),D))) )],[refute_0_4726,refute_0_4727]) ).

cnf(refute_0_4729,plain,
    product(product(product(c,a),B),product(product(a,b),D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),B),product(product(a,b),D)),product(product(a,c),product(B,D))) )],[refute_0_4718,refute_0_4728]) ).

cnf(refute_0_4730,plain,
    product(product(product(c,a),b),product(product(a,b),X_67)) = product(product(a,c),product(b,X_67)),
    inference(subst,[],[refute_0_4729:[bind(B,$fot(b)),bind(D,$fot(X_67))]]) ).

cnf(refute_0_4731,plain,
    ( product(product(a,c),product(b,X_67)) != product(product(a,b),product(c,X_67))
    | product(product(product(c,a),b),product(product(a,b),X_67)) != product(product(a,c),product(b,X_67))
    | product(product(product(c,a),b),product(product(a,b),X_67)) = product(product(a,b),product(c,X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),b),product(product(a,b),X_67)))),bind(Y,$fot(product(product(a,c),product(b,X_67)))),bind(Z,$fot(product(product(a,b),product(c,X_67))))]]) ).

cnf(refute_0_4732,plain,
    ( product(product(a,c),product(b,X_67)) != product(product(a,b),product(c,X_67))
    | product(product(product(c,a),b),product(product(a,b),X_67)) = product(product(a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(a,b),X_67)),product(product(a,c),product(b,X_67))) )],[refute_0_4730,refute_0_4731]) ).

cnf(refute_0_4733,plain,
    product(product(product(c,a),b),product(product(a,b),X_67)) = product(product(a,b),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,X_67)),product(product(a,b),product(c,X_67))) )],[refute_0_4714,refute_0_4732]) ).

cnf(refute_0_4734,plain,
    ( product(product(a,b),product(bigC(b,a,c),X_67)) != product(product(product(c,a),b),product(product(a,b),X_67))
    | product(product(product(c,a),b),product(product(a,b),X_67)) != product(product(a,b),product(c,X_67))
    | product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(a,b),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),product(bigC(b,a,c),X_67)),product(product(a,b),product(c,X_67))) ),[0],$fot(product(product(product(c,a),b),product(product(a,b),X_67)))]]) ).

cnf(refute_0_4735,plain,
    ( product(product(a,b),product(bigC(b,a,c),X_67)) != product(product(product(c,a),b),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(a,b),X_67)),product(product(a,b),product(c,X_67))) )],[refute_0_4733,refute_0_4734]) ).

cnf(refute_0_4736,plain,
    ( product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(product(product(c,a),b),product(product(a,b),X_67))
    | product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,c),X_67)),product(product(product(c,a),b),product(product(a,b),X_67))) )],[refute_0_4713,refute_0_4735]) ).

cnf(refute_0_4737,plain,
    product(product(a,b),product(bigC(b,a,c),X_67)) = product(product(a,b),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,bigC(c,a,b)),X_67)),product(product(product(c,a),b),product(product(a,b),X_67))) )],[refute_0_4703,refute_0_4736]) ).

cnf(refute_0_4738,plain,
    product(product(a,b),product(bigC(b,a,c),product(a,b))) = product(product(a,b),product(c,product(a,b))),
    inference(subst,[],[refute_0_4737:[bind(X_67,$fot(product(a,b)))]]) ).

cnf(refute_0_4739,plain,
    ( product(product(a,b),product(bigC(b,a,c),product(a,b))) != product(product(a,b),product(c,product(a,b)))
    | product(product(a,b),product(c,product(a,b))) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),product(bigC(b,a,c),product(a,b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(bigC(b,a,c),product(a,b))))),bind(Y,$fot(product(product(a,b),product(c,product(a,b))))),bind(Z,$fot(product(product(a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_4740,plain,
    ( product(product(a,b),product(c,product(a,b))) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),product(bigC(b,a,c),product(a,b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,c),product(a,b))),product(product(a,b),product(c,product(a,b)))) )],[refute_0_4738,refute_0_4739]) ).

cnf(refute_0_4741,plain,
    product(product(a,b),product(bigC(b,a,c),product(a,b))) = product(product(a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(a,b))),product(product(a,c),bigC(b,a,b))) )],[refute_0_4699,refute_0_4740]) ).

cnf(refute_0_4742,plain,
    product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,b),quotient(product(a,b),product(product(a,c),b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_4743,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,b),product(bigC(b,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) ),[1,1],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_4744,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,b),product(bigC(b,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4742,refute_0_4743]) ).

cnf(refute_0_4745,plain,
    product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,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,c),product(a,b))) )],[refute_0_4622,refute_0_4744]) ).

cnf(refute_0_4746,plain,
    ( product(product(a,b),product(bigC(b,a,c),product(a,b))) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(a,b),product(bigC(b,a,c),product(a,b)))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),quotient(product(a,b),product(product(a,c),b))))),bind(Y,$fot(product(product(a,b),product(bigC(b,a,c),product(a,b))))),bind(Z,$fot(product(product(a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_4747,plain,
    ( product(product(a,b),product(bigC(b,a,c),product(a,b))) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(a,b),product(bigC(b,a,c),product(a,b)))) )],[refute_0_4745,refute_0_4746]) ).

cnf(refute_0_4748,plain,
    product(product(a,b),quotient(product(a,b),product(product(a,c),b))) = product(product(a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(b,a,c),product(a,b))),product(product(a,c),bigC(b,a,b))) )],[refute_0_4741,refute_0_4747]) ).

cnf(refute_0_4749,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(a,c),bigC(b,a,b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),a),b)
    | product(product(a,c),bigC(b,a,b)) = product(product(product(c,a),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),a),b)) ),[0],$fot(product(product(a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_4750,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),a),b)
    | product(product(a,c),bigC(b,a,b)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(a,c),bigC(b,a,b))) )],[refute_0_4748,refute_0_4749]) ).

cnf(refute_0_4751,plain,
    product(product(a,c),bigC(b,a,b)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),a),b)) )],[refute_0_4691,refute_0_4750]) ).

cnf(refute_0_4752,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(product(a,b),product(a,b),c) = product(product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4753,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(c,product(a,b)))
    | bigC(product(a,b),product(a,b),c) = product(product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_4752]) ).

cnf(refute_0_4754,plain,
    bigC(product(a,b),product(a,b),c) = product(product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(c,product(a,b)))) )],[refute_0_4421,refute_0_4753]) ).

cnf(refute_0_4755,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,c),bigC(b,b,a)) != product(product(a,c),bigC(b,a,b))
    | product(product(a,c),bigC(b,b,a)) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),bigC(b,b,a)))),bind(Y,$fot(product(product(a,c),bigC(b,a,b)))),bind(Z,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_4756,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,c),bigC(b,b,a)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(a,c),bigC(b,a,b))) )],[refute_0_4695,refute_0_4755]) ).

cnf(refute_0_4757,plain,
    product(product(a,c),bigC(b,b,a)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,a,b)),product(product(product(c,a),a),b)) )],[refute_0_4751,refute_0_4756]) ).

cnf(refute_0_4758,plain,
    bigC(product(a,b),product(a,b),c) = product(product(a,c),bigC(b,b,a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_4759,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,c),bigC(b,b,a))
    | product(product(a,c),bigC(b,b,a)) != product(product(product(c,a),a),b)
    | bigC(product(a,b),product(a,b),c) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),c))),bind(Y,$fot(product(product(a,c),bigC(b,b,a)))),bind(Z,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_4760,plain,
    ( product(product(a,c),bigC(b,b,a)) != product(product(product(c,a),a),b)
    | bigC(product(a,b),product(a,b),c) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,c),bigC(b,b,a))) )],[refute_0_4758,refute_0_4759]) ).

cnf(refute_0_4761,plain,
    bigC(product(a,b),product(a,b),c) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(product(c,a),a),b)) )],[refute_0_4757,refute_0_4760]) ).

cnf(refute_0_4762,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(a,product(b,c)))
    | bigC(product(a,b),product(a,b),c) != product(product(product(c,a),a),b)
    | product(product(product(c,a),a),b) = product(product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(a,product(b,c)))) ),[0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_4763,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(a,product(b,c)))
    | product(product(product(c,a),a),b) = product(product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(product(c,a),a),b)) )],[refute_0_4761,refute_0_4762]) ).

cnf(refute_0_4764,plain,
    product(product(a,b),product(a,product(b,c))) = product(a,product(b,product(b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(b)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_4765,plain,
    ( product(product(a,b),product(a,product(b,c))) != product(a,product(b,product(b,c)))
    | product(product(product(c,a),a),b) != product(product(a,b),product(a,product(b,c)))
    | product(product(product(c,a),a),b) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),a),b),product(product(a,b),product(a,product(b,c)))) ),[1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_4766,plain,
    ( product(product(product(c,a),a),b) != product(product(a,b),product(a,product(b,c)))
    | product(product(product(c,a),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_4764,refute_0_4765]) ).

cnf(refute_0_4767,plain,
    ( bigC(product(a,b),product(a,b),c) != product(product(a,b),product(a,product(b,c)))
    | product(product(product(c,a),a),b) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(product(a,b),product(a,product(b,c)))) )],[refute_0_4763,refute_0_4766]) ).

cnf(refute_0_4768,plain,
    product(product(product(c,a),a),b) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),product(product(a,b),product(a,product(b,c)))) )],[refute_0_4754,refute_0_4767]) ).

cnf(refute_0_4769,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | product(product(a,c),bigC(b,a,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),bigC(b,a,b)),product(a,product(b,product(b,c)))) ),[0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_4770,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,c),bigC(b,a,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(a,product(b,product(b,c)))) )],[refute_0_4768,refute_0_4769]) ).

cnf(refute_0_4771,plain,
    product(product(a,c),bigC(b,a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,a,b)),product(product(product(c,a),a),b)) )],[refute_0_4751,refute_0_4770]) ).

cnf(refute_0_4772,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(a,product(b,product(b,c)))
    | product(product(a,c),bigC(b,b,a)) != product(product(a,c),bigC(b,a,b))
    | product(product(a,c),bigC(b,b,a)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),bigC(b,b,a)))),bind(Y,$fot(product(product(a,c),bigC(b,a,b)))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_4773,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(a,product(b,product(b,c)))
    | product(product(a,c),bigC(b,b,a)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(product(a,c),bigC(b,a,b))) )],[refute_0_4695,refute_0_4772]) ).

cnf(refute_0_4774,plain,
    product(product(a,c),bigC(b,b,a)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,a,b)),product(a,product(b,product(b,c)))) )],[refute_0_4771,refute_0_4773]) ).

cnf(refute_0_4775,plain,
    ( product(product(a,b),product(c,product(a,b))) != product(product(a,c),bigC(b,b,a))
    | product(product(a,c),bigC(b,b,a)) != product(a,product(b,product(b,c)))
    | product(product(a,b),product(c,product(a,b))) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(c,product(a,b))))),bind(Y,$fot(product(product(a,c),bigC(b,b,a)))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_4776,plain,
    ( product(product(a,c),bigC(b,b,a)) != product(a,product(b,product(b,c)))
    | product(product(a,b),product(c,product(a,b))) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(a,b))),product(product(a,c),bigC(b,b,a))) )],[refute_0_4696,refute_0_4775]) ).

cnf(refute_0_4777,plain,
    product(product(a,b),product(c,product(a,b))) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,a)),product(a,product(b,product(b,c)))) )],[refute_0_4774,refute_0_4776]) ).

cnf(refute_0_4778,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(product(a,b),product(c,product(a,b)))
    | product(product(a,b),product(c,product(a,b))) != product(a,product(b,product(b,c)))
    | bigC(c,product(a,b),product(a,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,b),product(a,b)),product(a,product(b,product(b,c)))) ),[0],$fot(product(product(a,b),product(c,product(a,b))))]]) ).

cnf(refute_0_4779,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(product(a,b),product(c,product(a,b)))
    | bigC(c,product(a,b),product(a,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(a,b))),product(a,product(b,product(b,c)))) )],[refute_0_4777,refute_0_4778]) ).

cnf(refute_0_4780,plain,
    bigC(c,product(a,b),product(a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),product(product(a,b),product(c,product(a,b)))) )],[refute_0_4655,refute_0_4779]) ).

cnf(refute_0_4781,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(a,product(b,product(b,c)))
    | bigC(c,product(a,b),product(a,b)) != product(product(c,product(a,b)),product(product(a,b),c))
    | product(a,product(b,product(b,c))) = product(product(c,product(a,b)),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),product(product(c,product(a,b)),product(product(a,b),c))) ),[0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_4782,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(product(c,product(a,b)),product(product(a,b),c))
    | product(a,product(b,product(b,c))) = product(product(c,product(a,b)),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_4780,refute_0_4781]) ).

cnf(refute_0_4783,plain,
    product(a,product(b,product(b,c))) = product(product(c,product(a,b)),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),product(product(c,product(a,b)),product(product(a,b),c))) )],[refute_0_4420,refute_0_4782]) ).

cnf(refute_0_4784,plain,
    product(c,product(product(a,b),product(c,b))) = product(c,product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_4785,plain,
    ( product(c,product(product(a,b),product(c,b))) != product(c,product(product(a,b),product(c,b)))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(c,product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,b),product(c,b))),product(c,product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_4786,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(c,product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),product(c,b))),product(c,product(product(a,b),product(c,b)))) )],[refute_0_4784,refute_0_4785]) ).

cnf(refute_0_4787,plain,
    product(c,product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_1152,refute_0_4786]) ).

cnf(refute_0_4788,plain,
    product(product(c,c),product(product(a,b),product(c,b))) = product(product(c,c),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_4789,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),product(c,b))) != product(product(c,c),product(product(a,b),product(c,b)))
    | product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,b))),product(product(c,c),product(product(a,b),product(c,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4790,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,b))),product(product(c,c),product(product(a,b),product(c,b)))) )],[refute_0_4788,refute_0_4789]) ).

cnf(refute_0_4791,plain,
    product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_4790]) ).

cnf(refute_0_4792,plain,
    ( product(c,product(product(a,b),product(c,b))) != product(c,product(product(a,c),b))
    | product(product(c,c),product(product(a,b),product(c,b))) != product(c,product(product(a,b),product(c,b)))
    | product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(a,b),product(c,b))))),bind(Y,$fot(product(c,product(product(a,b),product(c,b))))),bind(Z,$fot(product(c,product(product(a,c),b))))]]) ).

cnf(refute_0_4793,plain,
    ( product(c,product(product(a,b),product(c,b))) != product(c,product(product(a,c),b))
    | product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,b))),product(c,product(product(a,b),product(c,b)))) )],[refute_0_4791,refute_0_4792]) ).

cnf(refute_0_4794,plain,
    product(product(c,c),product(product(a,b),product(c,b))) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),product(c,b))),product(c,product(product(a,c),b))) )],[refute_0_4787,refute_0_4793]) ).

cnf(refute_0_4795,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,[],[refute_0_27:[bind(B,$fot(bigC(c,a,b))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_4796,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_4797,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_215,refute_0_4796]) ).

cnf(refute_0_4798,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_4795,refute_0_4797]) ).

cnf(refute_0_4799,plain,
    ( product(product(A,C),product(product(c,a),b)) != product(product(A,C),product(c,product(c,b)))
    | 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))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) ),[1],$fot(product(product(A,C),product(c,product(c,b))))]]) ).

cnf(refute_0_4800,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))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,a),b)),product(product(A,C),product(c,product(c,b)))) )],[refute_0_972,refute_0_4799]) ).

cnf(refute_0_4801,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(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) )],[refute_0_4798,refute_0_4800]) ).

cnf(refute_0_4802,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_4803,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_4804,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_4802,refute_0_4803]) ).

cnf(refute_0_4805,plain,
    product(A,bigC(c,a,b)) = product(A,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_4804]) ).

cnf(refute_0_4806,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_4807,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_4808,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_4806,refute_0_4807]) ).

cnf(refute_0_4809,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_4805,refute_0_4808]) ).

cnf(refute_0_4810,plain,
    ( product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),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)))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(c,product(c,b)))) ),[0],$fot(product(product(A,c),product(C,product(c,b))))]]) ).

cnf(refute_0_4811,plain,
    ( 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(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(C,product(c,b)))) )],[refute_0_4809,refute_0_4810]) ).

cnf(refute_0_4812,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(c,product(c,b)))) )],[refute_0_4801,refute_0_4811]) ).

cnf(refute_0_4813,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_16:[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_4814,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_4812,refute_0_4813]) ).

cnf(refute_0_4815,plain,
    product(product(c,product(a,b)),product(c,product(c,b))) = product(product(c,c),product(product(a,b),product(c,b))),
    inference(subst,[],[refute_0_4814:[bind(A,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4816,plain,
    product(product(A,product(a,b)),product(C,c)) = product(product(A,C),product(product(a,b),c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,b))),bind(D,$fot(c))]]) ).

cnf(refute_0_4817,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_4818,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_4299,refute_0_4817]) ).

cnf(refute_0_4819,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_4816,refute_0_4818]) ).

cnf(refute_0_4820,plain,
    product(product(c,product(a,b)),product(product(a,b),c)) = product(product(c,product(a,b)),product(c,product(c,b))),
    inference(subst,[],[refute_0_4819:[bind(A,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_4821,plain,
    ( product(product(c,product(a,b)),product(c,product(c,b))) != product(product(c,c),product(product(a,b),product(c,b)))
    | product(product(c,product(a,b)),product(product(a,b),c)) != product(product(c,product(a,b)),product(c,product(c,b)))
    | product(product(c,product(a,b)),product(product(a,b),c)) = product(product(c,c),product(product(a,b),product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,b)),product(product(a,b),c)))),bind(Y,$fot(product(product(c,product(a,b)),product(c,product(c,b))))),bind(Z,$fot(product(product(c,c),product(product(a,b),product(c,b)))))]]) ).

cnf(refute_0_4822,plain,
    ( product(product(c,product(a,b)),product(c,product(c,b))) != product(product(c,c),product(product(a,b),product(c,b)))
    | product(product(c,product(a,b)),product(product(a,b),c)) = product(product(c,c),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,b),c)),product(product(c,product(a,b)),product(c,product(c,b)))) )],[refute_0_4820,refute_0_4821]) ).

cnf(refute_0_4823,plain,
    product(product(c,product(a,b)),product(product(a,b),c)) = product(product(c,c),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(c,product(c,b))),product(product(c,c),product(product(a,b),product(c,b)))) )],[refute_0_4815,refute_0_4822]) ).

cnf(refute_0_4824,plain,
    ( product(product(c,c),product(product(a,b),product(c,b))) != product(c,product(product(a,c),b))
    | product(product(c,product(a,b)),product(product(a,b),c)) != product(product(c,c),product(product(a,b),product(c,b)))
    | product(product(c,product(a,b)),product(product(a,b),c)) = product(c,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,b)),product(product(a,b),c)))),bind(Y,$fot(product(product(c,c),product(product(a,b),product(c,b))))),bind(Z,$fot(product(c,product(product(a,c),b))))]]) ).

cnf(refute_0_4825,plain,
    ( product(product(c,c),product(product(a,b),product(c,b))) != product(c,product(product(a,c),b))
    | product(product(c,product(a,b)),product(product(a,b),c)) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,b),c)),product(product(c,c),product(product(a,b),product(c,b)))) )],[refute_0_4823,refute_0_4824]) ).

cnf(refute_0_4826,plain,
    product(product(c,product(a,b)),product(product(a,b),c)) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,b))),product(c,product(product(a,c),b))) )],[refute_0_4794,refute_0_4825]) ).

cnf(refute_0_4827,plain,
    ( product(a,product(b,product(b,c))) != product(product(c,product(a,b)),product(product(a,b),c))
    | product(product(c,product(a,b)),product(product(a,b),c)) != product(c,product(product(a,c),b))
    | product(a,product(b,product(b,c))) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,product(b,c))),product(c,product(product(a,c),b))) ),[0],$fot(product(product(c,product(a,b)),product(product(a,b),c)))]]) ).

cnf(refute_0_4828,plain,
    ( product(a,product(b,product(b,c))) != product(product(c,product(a,b)),product(product(a,b),c))
    | product(a,product(b,product(b,c))) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,b),c)),product(c,product(product(a,c),b))) )],[refute_0_4826,refute_0_4827]) ).

cnf(refute_0_4829,plain,
    product(a,product(b,product(b,c))) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,c))),product(product(c,product(a,b)),product(product(a,b),c))) )],[refute_0_4783,refute_0_4828]) ).

cnf(refute_0_4830,plain,
    ( product(a,product(b,product(b,c))) != product(c,product(product(a,c),b))
    | product(c,product(product(a,c),b)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,product(b,c))))),bind(Y,$fot(product(c,product(product(a,c),b))))]]) ).

cnf(refute_0_4831,plain,
    product(c,product(product(a,c),b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,c))),product(c,product(product(a,c),b))) )],[refute_0_4829,refute_0_4830]) ).

cnf(refute_0_4832,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | product(product(c,X_97),product(product(a,c),b)) != product(product(c,product(product(a,c),b)),product(X_97,product(product(a,c),b)))
    | product(product(c,X_97),product(product(a,c),b)) = product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(product(c,product(product(a,c),b)),product(X_97,product(product(a,c),b)))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_4833,plain,
    ( product(product(c,X_97),product(product(a,c),b)) != product(product(c,product(product(a,c),b)),product(X_97,product(product(a,c),b)))
    | product(product(c,X_97),product(product(a,c),b)) = product(product(a,product(b,product(b,c))),product(X_97,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_4831,refute_0_4832]) ).

cnf(refute_0_4834,plain,
    product(product(c,X_97),product(product(a,c),b)) = product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(product(c,product(product(a,c),b)),product(X_97,product(product(a,c),b)))) )],[refute_0_4419,refute_0_4833]) ).

cnf(refute_0_4835,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_32:[bind(X,$fot(bigC(c,c,a))),bind(Y,$fot(bigC(c,a,c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4836,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_601,refute_0_4835]) ).

cnf(refute_0_4837,plain,
    bigC(c,c,a) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_4836]) ).

cnf(refute_0_4838,plain,
    product(bigC(c,c,a),product(X_97,b)) = product(bigC(c,c,a),product(X_97,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,a),product(X_97,b)))]]) ).

cnf(refute_0_4839,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(X_97,b)) != product(bigC(c,c,a),product(X_97,b))
    | product(bigC(c,c,a),product(X_97,b)) = product(bigC(a,a,b),product(X_97,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),product(X_97,b)),product(bigC(c,c,a),product(X_97,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4840,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(X_97,b)) = product(bigC(a,a,b),product(X_97,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(X_97,b)),product(bigC(c,c,a),product(X_97,b))) )],[refute_0_4838,refute_0_4839]) ).

cnf(refute_0_4841,plain,
    product(bigC(c,c,a),product(X_97,b)) = product(bigC(a,a,b),product(X_97,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_4837,refute_0_4840]) ).

cnf(refute_0_4842,plain,
    product(product(c,X_97),product(product(a,c),b)) = product(bigC(c,c,a),product(X_97,b)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(c)),bind(B,$fot(X_97)),bind(D,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_4843,plain,
    ( product(bigC(c,c,a),product(X_97,b)) != product(bigC(a,a,b),product(X_97,b))
    | product(product(c,X_97),product(product(a,c),b)) != product(bigC(c,c,a),product(X_97,b))
    | product(product(c,X_97),product(product(a,c),b)) = product(bigC(a,a,b),product(X_97,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,X_97),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,c,a),product(X_97,b)))),bind(Z,$fot(product(bigC(a,a,b),product(X_97,b))))]]) ).

cnf(refute_0_4844,plain,
    ( product(bigC(c,c,a),product(X_97,b)) != product(bigC(a,a,b),product(X_97,b))
    | product(product(c,X_97),product(product(a,c),b)) = product(bigC(a,a,b),product(X_97,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(bigC(c,c,a),product(X_97,b))) )],[refute_0_4842,refute_0_4843]) ).

cnf(refute_0_4845,plain,
    product(product(c,X_97),product(product(a,c),b)) = product(bigC(a,a,b),product(X_97,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(X_97,b)),product(bigC(a,a,b),product(X_97,b))) )],[refute_0_4841,refute_0_4844]) ).

cnf(refute_0_4846,plain,
    ( product(product(c,X_97),product(product(a,c),b)) != product(bigC(a,a,b),product(X_97,b))
    | product(product(c,X_97),product(product(a,c),b)) != product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))
    | product(bigC(a,a,b),product(X_97,b)) = product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))) ),[0],$fot(product(bigC(a,a,b),product(X_97,b)))]]) ).

cnf(refute_0_4847,plain,
    ( product(product(c,X_97),product(product(a,c),b)) != product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))
    | product(bigC(a,a,b),product(X_97,b)) = product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(bigC(a,a,b),product(X_97,b))) )],[refute_0_4845,refute_0_4846]) ).

cnf(refute_0_4848,plain,
    bigC(quotient(product(b,c),product(b,a)),product(b,a),quotient(product(b,c),product(b,a))) = product(product(b,c),quotient(product(b,c),product(b,a))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(b,c))),bind(X_22,$fot(product(b,a)))]]) ).

cnf(refute_0_4849,plain,
    ( bigC(quotient(product(b,c),product(b,a)),product(b,a),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = product(product(b,c),quotient(product(b,c),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),product(b,a),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_4850,plain,
    ( bigC(quotient(product(b,c),product(b,a)),product(b,a),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = product(product(b,c),quotient(product(b,c),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_2788,refute_0_4849]) ).

cnf(refute_0_4851,plain,
    bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = product(product(b,c),quotient(product(b,c),product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),product(b,a),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) )],[refute_0_4848,refute_0_4850]) ).

cnf(refute_0_4852,plain,
    bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = product(product(bigC(b,b,c),bigC(c,a,c)),bigC(b,b,c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(bigC(b,b,c))),bind(X_18,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_4853,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != product(bigC(b,b,c),bigC(c,a,c))
    | product(bigC(b,b,c),bigC(c,a,c)) = difference(bigC(c,a,c),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,a,c),bigC(c,a,b)))),bind(Y,$fot(product(bigC(b,b,c),bigC(c,a,c))))]]) ).

cnf(refute_0_4854,plain,
    product(bigC(b,b,c),bigC(c,a,c)) = difference(bigC(c,a,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2872,refute_0_4853]) ).

cnf(refute_0_4855,plain,
    ( bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(b,b,c))
    | product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),bigC(c,a,b))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(b,b,c))) ),[1,0],$fot(difference(bigC(c,a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_4856,plain,
    ( bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(b,b,c))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),difference(bigC(c,a,c),bigC(c,a,b))) )],[refute_0_4854,refute_0_4855]) ).

cnf(refute_0_4857,plain,
    bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(b,b,c))) )],[refute_0_4852,refute_0_4856]) ).

cnf(refute_0_4858,plain,
    bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),product(bigC(c,a,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(bigC(b,b,c))),bind(X_19,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_4859,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),product(bigC(c,a,c),bigC(b,b,c)))
    | product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),product(bigC(c,a,c),bigC(b,b,c)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4860,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),product(bigC(c,a,c),bigC(b,b,c)))
    | bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = product(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,a),b)) )],[refute_0_965,refute_0_4859]) ).

cnf(refute_0_4861,plain,
    bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = product(bigC(b,b,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),product(bigC(c,a,c),bigC(b,b,c)))) )],[refute_0_4858,refute_0_4860]) ).

cnf(refute_0_4862,plain,
    bigC(b,product(c,b),product(c,a)) = bigC(b,product(c,a),product(c,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_4863,plain,
    product(bigC(b,b,c),product(product(c,a),b)) = bigC(b,product(c,b),product(c,a)),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(b)),bind(C,$fot(product(c,a))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_4864,plain,
    ( bigC(b,product(c,b),product(c,a)) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),product(product(c,a),b)) != bigC(b,product(c,b),product(c,a))
    | product(bigC(b,b,c),product(product(c,a),b)) = bigC(b,product(c,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,c),product(product(c,a),b)))),bind(Y,$fot(bigC(b,product(c,b),product(c,a)))),bind(Z,$fot(bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_4865,plain,
    ( bigC(b,product(c,b),product(c,a)) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),product(product(c,a),b)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(c,a),b)),bigC(b,product(c,b),product(c,a))) )],[refute_0_4863,refute_0_4864]) ).

cnf(refute_0_4866,plain,
    product(bigC(b,b,c),product(product(c,a),b)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),product(c,a)),bigC(b,product(c,a),product(c,b))) )],[refute_0_4862,refute_0_4865]) ).

cnf(refute_0_4867,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),product(product(c,a),b))
    | product(bigC(b,b,c),product(product(c,a),b)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),bigC(b,product(c,a),product(c,b))) ),[0],$fot(product(bigC(b,b,c),product(product(c,a),b)))]]) ).

cnf(refute_0_4868,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != product(bigC(b,b,c),product(product(c,a),b))
    | bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(c,a),b)),bigC(b,product(c,a),product(c,b))) )],[refute_0_4866,refute_0_4867]) ).

cnf(refute_0_4869,plain,
    bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),product(bigC(b,b,c),product(product(c,a),b))) )],[refute_0_4861,refute_0_4868]) ).

cnf(refute_0_4870,plain,
    bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(bigC(b,b,c))),bind(C,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_4871,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)))),bind(Y,$fot(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)))),bind(Z,$fot(bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_4872,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c))) )],[refute_0_4870,refute_0_4871]) ).

cnf(refute_0_4873,plain,
    bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),bigC(c,a,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_4869,refute_0_4872]) ).

cnf(refute_0_4874,plain,
    ( bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))) ),[0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_4875,plain,
    ( bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_4873,refute_0_4874]) ).

cnf(refute_0_4876,plain,
    bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(c,a,c),bigC(b,b,c)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_4857,refute_0_4875]) ).

cnf(refute_0_4877,plain,
    product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_4878,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))
    | product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))) ),[1,0],$fot(difference(bigC(c,a,c),c))]]) ).

cnf(refute_0_4879,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_4877,refute_0_4878]) ).

cnf(refute_0_4880,plain,
    product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),c)) )],[refute_0_2876,refute_0_4879]) ).

cnf(refute_0_4881,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))
    | product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)) != product(difference(bigC(c,a,c),c),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),product(c,b)),product(difference(bigC(c,a,c),c),bigC(b,b,c))) ),[0],$fot(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_4882,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c)),product(difference(bigC(c,a,c),c),bigC(b,b,c))) )],[refute_0_4880,refute_0_4881]) ).

cnf(refute_0_4883,plain,
    bigC(b,product(c,a),product(c,b)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_4876,refute_0_4882]) ).

cnf(refute_0_4884,plain,
    product(difference(bigC(c,a,c),c),bigC(b,b,c)) = product(difference(bigC(c,a,c),c),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(difference(bigC(c,a,c),c),bigC(b,b,c)))]]) ).

cnf(refute_0_4885,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(difference(bigC(c,a,c),c),bigC(b,b,c)) != product(difference(bigC(c,a,c),c),bigC(b,b,c))
    | product(difference(bigC(c,a,c),c),bigC(b,b,c)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,a,c),c),bigC(b,b,c)),product(difference(bigC(c,a,c),c),bigC(b,b,c))) ),[1,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4886,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(difference(bigC(c,a,c),c),bigC(b,b,c)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),c),bigC(b,b,c)),product(difference(bigC(c,a,c),c),bigC(b,b,c))) )],[refute_0_4884,refute_0_4885]) ).

cnf(refute_0_4887,plain,
    product(difference(bigC(c,a,c),c),bigC(b,b,c)) = product(product(product(b,c),c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_4886]) ).

cnf(refute_0_4888,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(difference(bigC(c,a,c),c),bigC(b,b,c))
    | product(difference(bigC(c,a,c),c),bigC(b,b,c)) != product(product(product(b,c),c),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),product(c,b)),product(product(product(b,c),c),bigC(b,b,c))) ),[0],$fot(product(difference(bigC(c,a,c),c),bigC(b,b,c)))]]) ).

cnf(refute_0_4889,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(difference(bigC(c,a,c),c),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),c),bigC(b,b,c)),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_4887,refute_0_4888]) ).

cnf(refute_0_4890,plain,
    bigC(b,product(c,a),product(c,b)) = product(product(product(b,c),c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(difference(bigC(c,a,c),c),bigC(b,b,c))) )],[refute_0_4883,refute_0_4889]) ).

cnf(refute_0_4891,plain,
    product(product(b,product(a,c)),bigC(b,b,c)) = bigC(b,product(a,c),product(b,c)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(c)),bind(X_45,$fot(b)),bind(X_46,$fot(product(a,c)))]]) ).

cnf(refute_0_4892,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_4893,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_4894,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_4892,refute_0_4893]) ).

cnf(refute_0_4895,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_2942,refute_0_4894]) ).

cnf(refute_0_4896,plain,
    ( product(product(b,product(a,c)),bigC(b,b,c)) != bigC(b,product(a,c),product(b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) = bigC(b,product(a,c),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),c),bigC(b,b,c)))),bind(Y,$fot(product(product(b,product(a,c)),bigC(b,b,c)))),bind(Z,$fot(bigC(b,product(a,c),product(b,c))))]]) ).

cnf(refute_0_4897,plain,
    ( product(product(b,product(a,c)),bigC(b,b,c)) != bigC(b,product(a,c),product(b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) = bigC(b,product(a,c),product(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_4895,refute_0_4896]) ).

cnf(refute_0_4898,plain,
    product(product(product(b,c),c),bigC(b,b,c)) = bigC(b,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(b,b,c)),bigC(b,product(a,c),product(b,c))) )],[refute_0_4891,refute_0_4897]) ).

cnf(refute_0_4899,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(product(b,c),c),bigC(b,b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) != bigC(b,product(a,c),product(b,c))
    | bigC(b,product(c,a),product(c,b)) = bigC(b,product(a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),product(c,b)),bigC(b,product(a,c),product(b,c))) ),[0],$fot(product(product(product(b,c),c),bigC(b,b,c)))]]) ).

cnf(refute_0_4900,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(product(b,c),c),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = bigC(b,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),bigC(b,product(a,c),product(b,c))) )],[refute_0_4898,refute_0_4899]) ).

cnf(refute_0_4901,plain,
    bigC(b,product(c,a),product(c,b)) = bigC(b,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_4890,refute_0_4900]) ).

cnf(refute_0_4902,plain,
    bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(c,a),quotient(product(b,c),product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(b,product(c,a),quotient(product(b,c),product(b,a))))]]) ).

cnf(refute_0_4903,plain,
    ( bigC(b,product(c,a),quotient(product(b,c),product(b,a))) != bigC(b,product(c,a),quotient(product(b,c),product(b,a)))
    | quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(c,a),quotient(product(b,c),product(b,a))),bigC(b,product(c,a),quotient(product(b,c),product(b,a)))) ),[1,2],$fot(product(c,b))]]) ).

cnf(refute_0_4904,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),quotient(product(b,c),product(b,a))),bigC(b,product(c,a),quotient(product(b,c),product(b,a)))) )],[refute_0_4902,refute_0_4903]) ).

cnf(refute_0_4905,plain,
    bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_2788,refute_0_4904]) ).

cnf(refute_0_4906,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,product(a,c),product(b,c))
    | bigC(b,product(c,a),quotient(product(b,c),product(b,a))) != bigC(b,product(c,a),product(c,b))
    | bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,product(c,a),quotient(product(b,c),product(b,a))))),bind(Y,$fot(bigC(b,product(c,a),product(c,b)))),bind(Z,$fot(bigC(b,product(a,c),product(b,c))))]]) ).

cnf(refute_0_4907,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,product(a,c),product(b,c))
    | bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),quotient(product(b,c),product(b,a))),bigC(b,product(c,a),product(c,b))) )],[refute_0_4905,refute_0_4906]) ).

cnf(refute_0_4908,plain,
    bigC(b,product(c,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,product(a,c),product(b,c))) )],[refute_0_4901,refute_0_4907]) ).

cnf(refute_0_4909,plain,
    bigC(product(c,b),product(b,a),C) = product(product(product(c,b),product(b,a)),product(C,product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_4910,plain,
    ( bigC(product(c,b),product(b,a),C) != product(product(product(c,b),product(b,a)),product(C,product(c,b)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(c,b),product(b,a),C) = product(product(b,c),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(b,a),C),product(product(product(c,b),product(b,a)),product(C,product(c,b)))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4911,plain,
    ( bigC(product(c,b),product(b,a),C) != product(product(product(c,b),product(b,a)),product(C,product(c,b)))
    | bigC(product(c,b),product(b,a),C) = product(product(b,c),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2785,refute_0_4910]) ).

cnf(refute_0_4912,plain,
    bigC(product(c,b),product(b,a),C) = product(product(b,c),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),C),product(product(product(c,b),product(b,a)),product(C,product(c,b)))) )],[refute_0_4909,refute_0_4911]) ).

cnf(refute_0_4913,plain,
    bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = product(product(product(b,bigC(c,a,b)),B),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(b,bigC(c,a,b)))),bind(C,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4914,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != product(product(product(b,bigC(c,a,b)),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))) != bigC(b,c,bigC(c,a,b))
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))))) ),[1,1],$fot(bigC(b,c,bigC(c,a,b)))]]) ).

cnf(refute_0_4915,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != product(product(product(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)),B,bigC(b,a,bigC(c,a,b))) = product(product(product(b,bigC(c,a,b)),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))),bigC(b,c,bigC(c,a,b))) )],[refute_0_2508,refute_0_4914]) ).

cnf(refute_0_4916,plain,
    bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))))) )],[refute_0_4913,refute_0_4915]) ).

cnf(refute_0_4917,plain,
    bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4918,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,c),B,bigC(b,a,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,c),B,bigC(b,a,bigC(c,a,b)))) ),[1,2],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_4919,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,c),B,bigC(b,a,bigC(c,a,b)))) )],[refute_0_4917,refute_0_4918]) ).

cnf(refute_0_4920,plain,
    bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_4919]) ).

cnf(refute_0_4921,plain,
    bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_4922,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b)))
    | product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b)))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4923,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b)))) )],[refute_0_4921,refute_0_4922]) ).

cnf(refute_0_4924,plain,
    bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_2512,refute_0_4923]) ).

cnf(refute_0_4925,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,c),B,bigC(b,a,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,c),B,bigC(b,a,c))
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))))),bind(Y,$fot(bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))))),bind(Z,$fot(bigC(product(b,c),B,bigC(b,a,c))))]]) ).

cnf(refute_0_4926,plain,
    ( bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,c),B,bigC(b,a,c))
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,c),B,bigC(b,a,bigC(c,a,b)))) )],[refute_0_4924,refute_0_4925]) ).

cnf(refute_0_4927,plain,
    bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) = bigC(product(b,c),B,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,c),B,bigC(b,a,c))) )],[refute_0_4920,refute_0_4926]) ).

cnf(refute_0_4928,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != bigC(product(b,c),B,bigC(b,a,c))
    | bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,c)) = product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))) ),[0],$fot(bigC(product(b,c),B,bigC(b,a,c)))]]) ).

cnf(refute_0_4929,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,c)) = product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),bigC(product(b,c),B,bigC(b,a,c))) )],[refute_0_4927,refute_0_4928]) ).

cnf(refute_0_4930,plain,
    product(product(product(b,c),B),bigC(b,c,c)) = product(product(b,c),product(B,product(c,b))),
    inference(subst,[],[refute_0_3039:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c)),bind(X_66,$fot(B))]]) ).

cnf(refute_0_4931,plain,
    product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))))]]) ).

cnf(refute_0_4932,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,c)
    | product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,c),B),bigC(b,c,bigC(c,a,b)))
    | product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,c),B),bigC(b,c,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,c,c))]]) ).

cnf(refute_0_4933,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,c)
    | product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,c),B),bigC(b,c,bigC(c,a,b)))) )],[refute_0_4931,refute_0_4932]) ).

cnf(refute_0_4934,plain,
    product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(c,a,b)),bigC(b,c,c)) )],[refute_0_2533,refute_0_4933]) ).

cnf(refute_0_4935,plain,
    product(product(b,bigC(c,a,b)),B) = product(product(b,bigC(c,a,b)),B),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(c,a,b)),B))]]) ).

cnf(refute_0_4936,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),B) != product(product(b,bigC(c,a,b)),B)
    | product(product(b,bigC(c,a,b)),B) = product(product(b,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(c,a,b)),B),product(product(b,bigC(c,a,b)),B)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4937,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),B) = product(product(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),B),product(product(b,bigC(c,a,b)),B)) )],[refute_0_4935,refute_0_4936]) ).

cnf(refute_0_4938,plain,
    product(product(b,bigC(c,a,b)),B) = product(product(b,c),B),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_2512,refute_0_4937]) ).

cnf(refute_0_4939,plain,
    product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))))]]) ).

cnf(refute_0_4940,plain,
    ( product(product(b,bigC(c,a,b)),B) != product(product(b,c),B)
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))) ),[1,0],$fot(product(product(b,c),B))]]) ).

cnf(refute_0_4941,plain,
    ( product(product(b,bigC(c,a,b)),B) != product(product(b,c),B)
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))) )],[refute_0_4939,refute_0_4940]) ).

cnf(refute_0_4942,plain,
    product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),B),product(product(b,c),B)) )],[refute_0_4938,refute_0_4941]) ).

cnf(refute_0_4943,plain,
    ( product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,c),B),bigC(b,c,bigC(c,a,b)))
    | product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,c),B),bigC(b,c,c))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))))),bind(Y,$fot(product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))))),bind(Z,$fot(product(product(product(b,c),B),bigC(b,c,c))))]]) ).

cnf(refute_0_4944,plain,
    ( product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,c),B),bigC(b,c,c))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,c),B),bigC(b,c,bigC(c,a,b)))) )],[refute_0_4942,refute_0_4943]) ).

cnf(refute_0_4945,plain,
    product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(product(b,c),B),bigC(b,c,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,c),B),bigC(b,c,c))) )],[refute_0_4934,refute_0_4944]) ).

cnf(refute_0_4946,plain,
    ( product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) != product(product(product(b,c),B),bigC(b,c,c))
    | product(product(product(b,c),B),bigC(b,c,c)) != product(product(b,c),product(B,product(c,b)))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(b,c),product(B,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))))),bind(Y,$fot(product(product(product(b,c),B),bigC(b,c,c)))),bind(Z,$fot(product(product(b,c),product(B,product(c,b)))))]]) ).

cnf(refute_0_4947,plain,
    ( product(product(product(b,c),B),bigC(b,c,c)) != product(product(b,c),product(B,product(c,b)))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(b,c),product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),product(product(product(b,c),B),bigC(b,c,c))) )],[refute_0_4945,refute_0_4946]) ).

cnf(refute_0_4948,plain,
    product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) = product(product(b,c),product(B,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),bigC(b,c,c)),product(product(b,c),product(B,product(c,b)))) )],[refute_0_4930,refute_0_4947]) ).

cnf(refute_0_4949,plain,
    ( bigC(product(b,c),B,bigC(b,a,c)) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))) != product(product(b,c),product(B,product(c,b)))
    | bigC(product(b,c),B,bigC(b,a,c)) = product(product(b,c),product(B,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),B,bigC(b,a,c)),product(product(b,c),product(B,product(c,b)))) ),[0],$fot(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))))]]) ).

cnf(refute_0_4950,plain,
    ( bigC(product(b,c),B,bigC(b,a,c)) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,c)) = product(product(b,c),product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b))),product(product(b,c),product(B,product(c,b)))) )],[refute_0_4948,refute_0_4949]) ).

cnf(refute_0_4951,plain,
    ( bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))) != product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))
    | bigC(product(b,c),B,bigC(b,a,c)) = product(product(b,c),product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))) )],[refute_0_4929,refute_0_4950]) ).

cnf(refute_0_4952,plain,
    bigC(product(b,c),B,bigC(b,a,c)) = product(product(b,c),product(B,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),B,bigC(b,a,bigC(c,a,b))),product(product(product(b,bigC(c,a,b)),B),bigC(b,c,bigC(c,a,b)))) )],[refute_0_4916,refute_0_4951]) ).

cnf(refute_0_4953,plain,
    bigC(difference(c,bigC(b,a,b)),X_18,c) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(bigC(b,a,b))),bind(X_19,$fot(c))]]) ).

cnf(refute_0_4954,plain,
    difference(c,bigC(c,b,c)) = product(b,c),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(c)),bind(X_53,$fot(b))]]) ).

cnf(refute_0_4955,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_4956,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_1370,refute_0_4955]) ).

cnf(refute_0_4957,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_4954,refute_0_4956]) ).

cnf(refute_0_4958,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_18,c) = product(product(product(b,c),X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) ),[1,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_4959,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(difference(c,bigC(b,a,b)),X_18,c) = product(product(product(b,c),X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_4957,refute_0_4958]) ).

cnf(refute_0_4960,plain,
    bigC(difference(c,bigC(b,a,b)),X_18,c) = product(product(product(b,c),X_18),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) )],[refute_0_4953,refute_0_4959]) ).

cnf(refute_0_4961,plain,
    bigC(difference(c,bigC(b,a,b)),X_18,c) = bigC(difference(c,bigC(b,a,b)),X_18,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(b,a,b)),X_18,c))]]) ).

cnf(refute_0_4962,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != bigC(difference(c,bigC(b,a,b)),X_18,c)
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_18,c) = bigC(product(b,c),X_18,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),bigC(difference(c,bigC(b,a,b)),X_18,c)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4963,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_18,c) = bigC(product(b,c),X_18,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),bigC(difference(c,bigC(b,a,b)),X_18,c)) )],[refute_0_4961,refute_0_4962]) ).

cnf(refute_0_4964,plain,
    bigC(difference(c,bigC(b,a,b)),X_18,c) = bigC(product(b,c),X_18,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_4957,refute_0_4963]) ).

cnf(refute_0_4965,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != bigC(product(b,c),X_18,c)
    | bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(product(b,c),X_18),bigC(b,a,b))
    | bigC(product(b,c),X_18,c) = product(product(product(b,c),X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(product(b,c),X_18),bigC(b,a,b))) ),[0],$fot(bigC(product(b,c),X_18,c))]]) ).

cnf(refute_0_4966,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(product(b,c),X_18),bigC(b,a,b))
    | bigC(product(b,c),X_18,c) = product(product(product(b,c),X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),bigC(product(b,c),X_18,c)) )],[refute_0_4964,refute_0_4965]) ).

cnf(refute_0_4967,plain,
    bigC(product(b,b),product(c,a),X_18) = bigC(product(b,b),product(c,a),X_18),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),product(c,a),X_18))]]) ).

cnf(refute_0_4968,plain,
    ( bigC(product(b,b),product(c,a),X_18) != bigC(product(b,b),product(c,a),X_18)
    | product(b,b) != b
    | bigC(product(b,b),product(c,a),X_18) = bigC(b,product(c,a),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),product(c,a),X_18),bigC(product(b,b),product(c,a),X_18)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_4969,plain,
    ( product(b,b) != b
    | bigC(product(b,b),product(c,a),X_18) = bigC(b,product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(c,a),X_18),bigC(product(b,b),product(c,a),X_18)) )],[refute_0_4967,refute_0_4968]) ).

cnf(refute_0_4970,plain,
    bigC(product(b,b),product(c,a),X_18) = bigC(b,product(c,a),X_18),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_4969]) ).

cnf(refute_0_4971,plain,
    product(product(product(b,c),X_18),bigC(b,a,b)) = bigC(product(b,b),product(c,a),X_18),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(X_18)),bind(X_23,$fot(b)),bind(X_24,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_4972,plain,
    ( bigC(product(b,b),product(c,a),X_18) != bigC(b,product(c,a),X_18)
    | product(product(product(b,c),X_18),bigC(b,a,b)) != bigC(product(b,b),product(c,a),X_18)
    | product(product(product(b,c),X_18),bigC(b,a,b)) = bigC(b,product(c,a),X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),X_18),bigC(b,a,b)))),bind(Y,$fot(bigC(product(b,b),product(c,a),X_18))),bind(Z,$fot(bigC(b,product(c,a),X_18)))]]) ).

cnf(refute_0_4973,plain,
    ( bigC(product(b,b),product(c,a),X_18) != bigC(b,product(c,a),X_18)
    | product(product(product(b,c),X_18),bigC(b,a,b)) = bigC(b,product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_18),bigC(b,a,b)),bigC(product(b,b),product(c,a),X_18)) )],[refute_0_4971,refute_0_4972]) ).

cnf(refute_0_4974,plain,
    product(product(product(b,c),X_18),bigC(b,a,b)) = bigC(b,product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(c,a),X_18),bigC(b,product(c,a),X_18)) )],[refute_0_4970,refute_0_4973]) ).

cnf(refute_0_4975,plain,
    ( bigC(product(b,c),X_18,c) != product(product(product(b,c),X_18),bigC(b,a,b))
    | product(product(product(b,c),X_18),bigC(b,a,b)) != bigC(b,product(c,a),X_18)
    | bigC(product(b,c),X_18,c) = bigC(b,product(c,a),X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),X_18,c),bigC(b,product(c,a),X_18)) ),[0],$fot(product(product(product(b,c),X_18),bigC(b,a,b)))]]) ).

cnf(refute_0_4976,plain,
    ( bigC(product(b,c),X_18,c) != product(product(product(b,c),X_18),bigC(b,a,b))
    | bigC(product(b,c),X_18,c) = bigC(b,product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_18),bigC(b,a,b)),bigC(b,product(c,a),X_18)) )],[refute_0_4974,refute_0_4975]) ).

cnf(refute_0_4977,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(product(b,c),X_18),bigC(b,a,b))
    | bigC(product(b,c),X_18,c) = bigC(b,product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,c),product(product(product(b,c),X_18),bigC(b,a,b))) )],[refute_0_4966,refute_0_4976]) ).

cnf(refute_0_4978,plain,
    bigC(product(b,c),X_18,c) = bigC(b,product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(product(b,c),X_18),bigC(b,a,b))) )],[refute_0_4960,refute_0_4977]) ).

cnf(refute_0_4979,plain,
    bigC(product(b,c),B,c) = bigC(b,product(c,a),B),
    inference(subst,[],[refute_0_4978:[bind(X_18,$fot(B))]]) ).

cnf(refute_0_4980,plain,
    bigC(product(b,c),B,bigC(b,a,c)) = bigC(product(b,c),B,bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(bigC(product(b,c),B,bigC(b,a,c)))]]) ).

cnf(refute_0_4981,plain,
    ( bigC(b,a,c) != c
    | bigC(product(b,c),B,bigC(b,a,c)) != bigC(product(b,c),B,bigC(b,a,c))
    | bigC(product(b,c),B,bigC(b,a,c)) = bigC(product(b,c),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),bigC(product(b,c),B,bigC(b,a,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_4982,plain,
    ( bigC(b,a,c) != c
    | bigC(product(b,c),B,bigC(b,a,c)) = bigC(product(b,c),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),bigC(product(b,c),B,bigC(b,a,c))) )],[refute_0_4980,refute_0_4981]) ).

cnf(refute_0_4983,plain,
    bigC(product(b,c),B,bigC(b,a,c)) = bigC(product(b,c),B,c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_4982]) ).

cnf(refute_0_4984,plain,
    ( bigC(product(b,c),B,bigC(b,a,c)) != bigC(product(b,c),B,c)
    | bigC(product(b,c),B,c) != bigC(b,product(c,a),B)
    | bigC(product(b,c),B,bigC(b,a,c)) = bigC(b,product(c,a),B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),B,bigC(b,a,c)))),bind(Y,$fot(bigC(product(b,c),B,c))),bind(Z,$fot(bigC(b,product(c,a),B)))]]) ).

cnf(refute_0_4985,plain,
    ( bigC(product(b,c),B,c) != bigC(b,product(c,a),B)
    | bigC(product(b,c),B,bigC(b,a,c)) = bigC(b,product(c,a),B) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),bigC(product(b,c),B,c)) )],[refute_0_4983,refute_0_4984]) ).

cnf(refute_0_4986,plain,
    bigC(product(b,c),B,bigC(b,a,c)) = bigC(b,product(c,a),B),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,c),bigC(b,product(c,a),B)) )],[refute_0_4979,refute_0_4985]) ).

cnf(refute_0_4987,plain,
    ( bigC(product(b,c),B,bigC(b,a,c)) != bigC(b,product(c,a),B)
    | bigC(product(b,c),B,bigC(b,a,c)) != product(product(b,c),product(B,product(c,b)))
    | bigC(b,product(c,a),B) = product(product(b,c),product(B,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),product(product(b,c),product(B,product(c,b)))) ),[0],$fot(bigC(b,product(c,a),B))]]) ).

cnf(refute_0_4988,plain,
    ( bigC(product(b,c),B,bigC(b,a,c)) != product(product(b,c),product(B,product(c,b)))
    | bigC(b,product(c,a),B) = product(product(b,c),product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),bigC(b,product(c,a),B)) )],[refute_0_4986,refute_0_4987]) ).

cnf(refute_0_4989,plain,
    bigC(b,product(c,a),B) = product(product(b,c),product(B,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,bigC(b,a,c)),product(product(b,c),product(B,product(c,b)))) )],[refute_0_4952,refute_0_4988]) ).

cnf(refute_0_4990,plain,
    ( bigC(b,product(c,a),B) != product(product(b,c),product(B,product(c,b)))
    | product(product(b,c),product(B,product(c,b))) = bigC(b,product(c,a),B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(c,a),B))),bind(Y,$fot(product(product(b,c),product(B,product(c,b)))))]]) ).

cnf(refute_0_4991,plain,
    product(product(b,c),product(B,product(c,b))) = bigC(b,product(c,a),B),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),B),product(product(b,c),product(B,product(c,b)))) )],[refute_0_4989,refute_0_4990]) ).

cnf(refute_0_4992,plain,
    product(product(b,c),product(C,product(c,b))) = bigC(b,product(c,a),C),
    inference(subst,[],[refute_0_4991:[bind(B,$fot(C))]]) ).

cnf(refute_0_4993,plain,
    ( bigC(product(c,b),product(b,a),C) != product(product(b,c),product(C,product(c,b)))
    | product(product(b,c),product(C,product(c,b))) != bigC(b,product(c,a),C)
    | bigC(product(c,b),product(b,a),C) = bigC(b,product(c,a),C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(b,a),C),bigC(b,product(c,a),C)) ),[0],$fot(product(product(b,c),product(C,product(c,b))))]]) ).

cnf(refute_0_4994,plain,
    ( bigC(product(c,b),product(b,a),C) != product(product(b,c),product(C,product(c,b)))
    | bigC(product(c,b),product(b,a),C) = bigC(b,product(c,a),C) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(C,product(c,b))),bigC(b,product(c,a),C)) )],[refute_0_4992,refute_0_4993]) ).

cnf(refute_0_4995,plain,
    bigC(product(c,b),product(b,a),C) = bigC(b,product(c,a),C),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),C),product(product(b,c),product(C,product(c,b)))) )],[refute_0_4912,refute_0_4994]) ).

cnf(refute_0_4996,plain,
    bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = bigC(b,product(c,a),quotient(product(b,c),product(b,a))),
    inference(subst,[],[refute_0_4995:[bind(C,$fot(quotient(product(b,c),product(b,a))))]]) ).

cnf(refute_0_4997,plain,
    ( bigC(b,product(c,a),quotient(product(b,c),product(b,a))) != bigC(b,product(a,c),product(b,c))
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) != bigC(b,product(c,a),quotient(product(b,c),product(b,a)))
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))))),bind(Y,$fot(bigC(b,product(c,a),quotient(product(b,c),product(b,a))))),bind(Z,$fot(bigC(b,product(a,c),product(b,c))))]]) ).

cnf(refute_0_4998,plain,
    ( bigC(b,product(c,a),quotient(product(b,c),product(b,a))) != bigC(b,product(a,c),product(b,c))
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))),bigC(b,product(c,a),quotient(product(b,c),product(b,a)))) )],[refute_0_4996,refute_0_4997]) ).

cnf(refute_0_4999,plain,
    bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) = bigC(b,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),quotient(product(b,c),product(b,a))),bigC(b,product(a,c),product(b,c))) )],[refute_0_4908,refute_0_4998]) ).

cnf(refute_0_5000,plain,
    ( bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) != bigC(b,product(a,c),product(b,c))
    | bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | bigC(b,product(a,c),product(b,c)) = product(product(b,c),quotient(product(b,c),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) ),[0],$fot(bigC(b,product(a,c),product(b,c)))]]) ).

cnf(refute_0_5001,plain,
    ( bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | bigC(b,product(a,c),product(b,c)) = product(product(b,c),quotient(product(b,c),product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))),bigC(b,product(a,c),product(b,c))) )],[refute_0_4999,refute_0_5000]) ).

cnf(refute_0_5002,plain,
    product(product(b,c),product(c,b)) = bigC(b,c,c),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_5003,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_32:[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_5004,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_5002,refute_0_5003]) ).

cnf(refute_0_5005,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_2750,refute_0_5004]) ).

cnf(refute_0_5006,plain,
    product(product(b,c),quotient(product(b,c),product(b,a))) = product(product(b,c),quotient(product(b,c),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,c),quotient(product(b,c),product(b,a))))]]) ).

cnf(refute_0_5007,plain,
    ( product(product(b,c),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | quotient(product(b,c),product(b,a)) != product(c,b)
    | product(product(b,c),quotient(product(b,c),product(b,a))) = product(product(b,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_5008,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | product(product(b,c),quotient(product(b,c),product(b,a))) = product(product(b,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) )],[refute_0_5006,refute_0_5007]) ).

cnf(refute_0_5009,plain,
    product(product(b,c),quotient(product(b,c),product(b,a))) = product(product(b,c),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_2788,refute_0_5008]) ).

cnf(refute_0_5010,plain,
    ( product(product(b,c),product(c,b)) != bigC(b,a,b)
    | product(product(b,c),quotient(product(b,c),product(b,a))) != product(product(b,c),product(c,b))
    | product(product(b,c),quotient(product(b,c),product(b,a))) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),quotient(product(b,c),product(b,a))))),bind(Y,$fot(product(product(b,c),product(c,b)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5011,plain,
    ( product(product(b,c),product(c,b)) != bigC(b,a,b)
    | product(product(b,c),quotient(product(b,c),product(b,a))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,a))),product(product(b,c),product(c,b))) )],[refute_0_5009,refute_0_5010]) ).

cnf(refute_0_5012,plain,
    product(product(b,c),quotient(product(b,c),product(b,a))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,b)),bigC(b,a,b)) )],[refute_0_5005,refute_0_5011]) ).

cnf(refute_0_5013,plain,
    ( bigC(b,product(a,c),product(b,c)) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | product(product(b,c),quotient(product(b,c),product(b,a))) != bigC(b,a,b)
    | bigC(b,product(a,c),product(b,c)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(a,c),product(b,c)),bigC(b,a,b)) ),[0],$fot(product(product(b,c),quotient(product(b,c),product(b,a))))]]) ).

cnf(refute_0_5014,plain,
    ( bigC(b,product(a,c),product(b,c)) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | bigC(b,product(a,c),product(b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,a))),bigC(b,a,b)) )],[refute_0_5012,refute_0_5013]) ).

cnf(refute_0_5015,plain,
    ( bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))) != product(product(b,c),quotient(product(b,c),product(b,a)))
    | bigC(b,product(a,c),product(b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,c),product(b,c)),product(product(b,c),quotient(product(b,c),product(b,a)))) )],[refute_0_5001,refute_0_5014]) ).

cnf(refute_0_5016,plain,
    bigC(b,product(a,c),product(b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),quotient(product(b,c),product(b,a))),product(product(b,c),quotient(product(b,c),product(b,a)))) )],[refute_0_4851,refute_0_5015]) ).

cnf(refute_0_5017,plain,
    bigC(b,product(b,c),product(a,c)) = bigC(b,product(a,c),product(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(product(a,c))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_5018,plain,
    ( bigC(b,product(a,c),product(b,c)) != bigC(b,a,b)
    | bigC(b,product(b,c),product(a,c)) != bigC(b,product(a,c),product(b,c))
    | bigC(b,product(b,c),product(a,c)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,product(b,c),product(a,c)))),bind(Y,$fot(bigC(b,product(a,c),product(b,c)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5019,plain,
    ( bigC(b,product(a,c),product(b,c)) != bigC(b,a,b)
    | bigC(b,product(b,c),product(a,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),product(a,c)),bigC(b,product(a,c),product(b,c))) )],[refute_0_5017,refute_0_5018]) ).

cnf(refute_0_5020,plain,
    bigC(b,product(b,c),product(a,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,c),product(b,c)),bigC(b,a,b)) )],[refute_0_5016,refute_0_5019]) ).

cnf(refute_0_5021,plain,
    product(product(a,X_97),bigC(b,product(b,c),product(a,c))) = product(product(a,X_97),bigC(b,product(b,c),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,X_97),bigC(b,product(b,c),product(a,c))))]]) ).

cnf(refute_0_5022,plain,
    ( bigC(b,product(b,c),product(a,c)) != bigC(b,a,b)
    | product(product(a,X_97),bigC(b,product(b,c),product(a,c))) != product(product(a,X_97),bigC(b,product(b,c),product(a,c)))
    | product(product(a,X_97),bigC(b,product(b,c),product(a,c))) = product(product(a,X_97),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_97),bigC(b,product(b,c),product(a,c))),product(product(a,X_97),bigC(b,product(b,c),product(a,c)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5023,plain,
    ( bigC(b,product(b,c),product(a,c)) != bigC(b,a,b)
    | product(product(a,X_97),bigC(b,product(b,c),product(a,c))) = product(product(a,X_97),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_97),bigC(b,product(b,c),product(a,c))),product(product(a,X_97),bigC(b,product(b,c),product(a,c)))) )],[refute_0_5021,refute_0_5022]) ).

cnf(refute_0_5024,plain,
    product(product(a,X_97),bigC(b,product(b,c),product(a,c))) = product(product(a,X_97),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),product(a,c)),bigC(b,a,b)) )],[refute_0_5020,refute_0_5023]) ).

cnf(refute_0_5025,plain,
    product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) = product(product(a,X_97),bigC(b,product(b,c),product(a,c))),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(b)),bind(B,$fot(product(b,c))),bind(C,$fot(product(a,c))),bind(X_23,$fot(a)),bind(X_24,$fot(X_97))]]) ).

cnf(refute_0_5026,plain,
    ( product(product(a,X_97),bigC(b,product(b,c),product(a,c))) != product(product(a,X_97),bigC(b,a,b))
    | product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) != product(product(a,X_97),bigC(b,product(b,c),product(a,c)))
    | product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) = product(product(a,X_97),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))))),bind(Y,$fot(product(product(a,X_97),bigC(b,product(b,c),product(a,c))))),bind(Z,$fot(product(product(a,X_97),bigC(b,a,b))))]]) ).

cnf(refute_0_5027,plain,
    ( product(product(a,X_97),bigC(b,product(b,c),product(a,c))) != product(product(a,X_97),bigC(b,a,b))
    | product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) = product(product(a,X_97),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))),product(product(a,X_97),bigC(b,product(b,c),product(a,c)))) )],[refute_0_5025,refute_0_5026]) ).

cnf(refute_0_5028,plain,
    product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) = product(product(a,X_97),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,X_97),bigC(b,product(b,c),product(a,c))),product(product(a,X_97),bigC(b,a,b))) )],[refute_0_5024,refute_0_5027]) ).

cnf(refute_0_5029,plain,
    ( product(bigC(a,a,b),product(X_97,b)) != product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))
    | product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))) != product(product(a,X_97),bigC(b,a,b))
    | product(bigC(a,a,b),product(X_97,b)) = product(product(a,X_97),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(X_97,b)),product(product(a,X_97),bigC(b,a,b))) ),[0],$fot(product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))))]]) ).

cnf(refute_0_5030,plain,
    ( product(bigC(a,a,b),product(X_97,b)) != product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))
    | product(bigC(a,a,b),product(X_97,b)) = product(product(a,X_97),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b))),product(product(a,X_97),bigC(b,a,b))) )],[refute_0_5028,refute_0_5029]) ).

cnf(refute_0_5031,plain,
    ( product(product(c,X_97),product(product(a,c),b)) != product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))
    | product(bigC(a,a,b),product(X_97,b)) = product(product(a,X_97),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_97,b)),product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))) )],[refute_0_4847,refute_0_5030]) ).

cnf(refute_0_5032,plain,
    product(bigC(a,a,b),product(X_97,b)) = product(product(a,X_97),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(a,c),b)),product(product(a,product(b,product(b,c))),product(X_97,product(product(a,c),b)))) )],[refute_0_4834,refute_0_5031]) ).

cnf(refute_0_5033,plain,
    ( product(bigC(a,a,b),product(X_97,b)) != product(product(a,X_97),bigC(b,a,b))
    | product(product(a,X_97),bigC(b,a,b)) = product(bigC(a,a,b),product(X_97,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,b),product(X_97,b)))),bind(Y,$fot(product(product(a,X_97),bigC(b,a,b))))]]) ).

cnf(refute_0_5034,plain,
    product(product(a,X_97),bigC(b,a,b)) = product(bigC(a,a,b),product(X_97,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_97,b)),product(product(a,X_97),bigC(b,a,b))) )],[refute_0_5032,refute_0_5033]) ).

cnf(refute_0_5035,plain,
    product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),
    inference(subst,[],[refute_0_5034:[bind(X_97,$fot(product(product(a,b),product(b,c))))]]) ).

cnf(refute_0_5036,plain,
    product(product(X_96,X_98),product(X_25,product(X_97,X_98))) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_98),product(X_97,X_98))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(X_96,X_98))),bind(X_26,$fot(product(X_97,X_98)))]]) ).

cnf(refute_0_5037,plain,
    ( product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(X_97,X_98)) != product(product(X_96,X_97),X_98)
    | product(product(X_96,X_98),product(X_25,product(X_97,X_98))) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,X_98),product(X_25,product(X_97,X_98))),product(product(product(X_96,X_98),X_25),product(product(X_96,X_98),product(X_97,X_98)))) ),[1,1],$fot(product(product(X_96,X_97),X_98))]]) ).

cnf(refute_0_5038,plain,
    ( product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(X_25,product(X_97,X_98))) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_97,X_98)),product(product(X_96,X_97),X_98)) )],[refute_0_2056,refute_0_5037]) ).

cnf(refute_0_5039,plain,
    product(product(X_96,X_98),product(X_25,product(X_97,X_98))) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_25,product(X_97,X_98))),product(product(product(X_96,X_98),X_25),product(product(X_96,X_98),product(X_97,X_98)))) )],[refute_0_5036,refute_0_5038]) ).

cnf(refute_0_5040,plain,
    product(product(X_96,X_98),product(X_25,product(X_97,X_98))) = product(product(X_96,X_25),bigC(X_98,X_98,X_97)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(X_96)),bind(B,$fot(X_98)),bind(C,$fot(X_25)),bind(X_36,$fot(X_97))]]) ).

cnf(refute_0_5041,plain,
    ( product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(X_96,X_25),bigC(X_98,X_98,X_97))
    | product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))
    | product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,X_98),product(X_25,product(X_97,X_98))),product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))) ),[0],$fot(product(product(X_96,X_25),bigC(X_98,X_98,X_97)))]]) ).

cnf(refute_0_5042,plain,
    ( product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))
    | product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_25,product(X_97,X_98))),product(product(X_96,X_25),bigC(X_98,X_98,X_97))) )],[refute_0_5040,refute_0_5041]) ).

cnf(refute_0_5043,plain,
    product(product(X_96,product(X_98,X_97)),product(X_25,X_98)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(X_97)),bind(X_23,$fot(X_96)),bind(X_24,$fot(X_25)),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_5044,plain,
    product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) = product(product(X_96,product(X_98,X_97)),product(X_25,X_98)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(X_25)),bind(D,$fot(X_98)),bind(X_65,$fot(X_96)),bind(X_66,$fot(X_98)),bind(X_67,$fot(X_97))]]) ).

cnf(refute_0_5045,plain,
    ( product(product(X_96,product(X_98,X_97)),product(X_25,X_98)) != product(product(X_96,X_25),bigC(X_98,X_97,X_98))
    | product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) != product(product(X_96,product(X_98,X_97)),product(X_25,X_98))
    | product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)))),bind(Y,$fot(product(product(X_96,product(X_98,X_97)),product(X_25,X_98)))),bind(Z,$fot(product(product(X_96,X_25),bigC(X_98,X_97,X_98))))]]) ).

cnf(refute_0_5046,plain,
    ( product(product(X_96,product(X_98,X_97)),product(X_25,X_98)) != product(product(X_96,X_25),bigC(X_98,X_97,X_98))
    | product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)),product(product(X_96,product(X_98,X_97)),product(X_25,X_98))) )],[refute_0_5044,refute_0_5045]) ).

cnf(refute_0_5047,plain,
    product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(X_98,X_97)),product(X_25,X_98)),product(product(X_96,X_25),bigC(X_98,X_97,X_98))) )],[refute_0_5043,refute_0_5046]) ).

cnf(refute_0_5048,plain,
    ( product(product(X_96,X_25),bigC(X_98,X_98,X_97)) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))
    | product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)) != product(product(X_96,X_25),bigC(X_98,X_97,X_98))
    | product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_96,X_25),bigC(X_98,X_98,X_97)),product(product(X_96,X_25),bigC(X_98,X_97,X_98))) ),[0],$fot(product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)))]]) ).

cnf(refute_0_5049,plain,
    ( product(product(X_96,X_25),bigC(X_98,X_98,X_97)) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))
    | product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98)),product(product(X_96,X_25),bigC(X_98,X_97,X_98))) )],[refute_0_5047,refute_0_5048]) ).

cnf(refute_0_5050,plain,
    ( product(product(X_96,X_98),product(X_25,product(X_97,X_98))) != product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))
    | product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_25),bigC(X_98,X_98,X_97)),product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))) )],[refute_0_5042,refute_0_5049]) ).

cnf(refute_0_5051,plain,
    product(product(X_96,X_25),bigC(X_98,X_98,X_97)) = product(product(X_96,X_25),bigC(X_98,X_97,X_98)),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_25,product(X_97,X_98))),product(product(product(X_96,X_98),X_25),product(product(X_96,X_97),X_98))) )],[refute_0_5039,refute_0_5050]) ).

cnf(refute_0_5052,plain,
    product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) = product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)),
    inference(subst,[],[refute_0_5051:[bind(X_25,$fot(product(product(a,b),product(b,c)))),bind(X_96,$fot(a)),bind(X_97,$fot(a)),bind(X_98,$fot(b))]]) ).

cnf(refute_0_5053,plain,
    ( product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) != product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b))
    | product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)))),bind(Y,$fot(product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)))),bind(Z,$fot(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))))]]) ).

cnf(refute_0_5054,plain,
    ( product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)),product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b))) )],[refute_0_5052,refute_0_5053]) ).

cnf(refute_0_5055,plain,
    product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,b),product(b,c))),bigC(b,a,b)),product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))) )],[refute_0_5035,refute_0_5054]) ).

cnf(refute_0_5056,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(a,b),product(b,c)))),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_5057,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a))
    | product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))))),bind(Y,$fot(product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)))),bind(Z,$fot(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))))]]) ).

cnf(refute_0_5058,plain,
    ( product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a))) )],[refute_0_5056,refute_0_5057]) ).

cnf(refute_0_5059,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,b),product(b,c))),bigC(b,b,a)),product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))) )],[refute_0_5055,refute_0_5058]) ).

cnf(refute_0_5060,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))
    | product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))))),bind(Y,$fot(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)))),bind(Z,$fot(product(bigC(a,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_5061,plain,
    ( product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b))) )],[refute_0_5059,refute_0_5060]) ).

cnf(refute_0_5062,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(a,b),product(b,c)),b)),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_4418,refute_0_5061]) ).

cnf(refute_0_5063,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(bigC(a,a,b),product(product(c,b),b))
    | bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(product(a,b),bigC(c,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(product(a,b),bigC(c,product(a,b),product(c,b)))) ),[0],$fot(product(bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_5064,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(product(a,b),bigC(c,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_5062,refute_0_5063]) ).

cnf(refute_0_5065,plain,
    product(product(a,b),difference(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,c),b),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(a,b))),bind(B,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5066,plain,
    difference(product(a,b),bigC(product(a,b),product(a,b),product(c,b))) = product(product(c,b),product(a,b)),
    inference(subst,[],[refute_0_1045:[bind(A,$fot(product(a,b))),bind(X_36,$fot(product(c,b)))]]) ).

cnf(refute_0_5067,plain,
    bigC(product(a,b),X_46,quotient(product(product(c,a),b),product(a,b))) = product(product(product(a,b),X_46),product(product(c,a),b)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(product(c,a),b))),bind(X_17,$fot(product(a,b))),bind(X_18,$fot(X_46))]]) ).

cnf(refute_0_5068,plain,
    ( bigC(product(a,b),X_46,quotient(product(product(c,a),b),product(a,b))) != product(product(product(a,b),X_46),product(product(c,a),b))
    | quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | bigC(product(a,b),X_46,product(c,b)) = product(product(product(a,b),X_46),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_46,quotient(product(product(c,a),b),product(a,b))),product(product(product(a,b),X_46),product(product(c,a),b))) ),[0,2],$fot(product(c,b))]]) ).

cnf(refute_0_5069,plain,
    ( bigC(product(a,b),X_46,quotient(product(product(c,a),b),product(a,b))) != product(product(product(a,b),X_46),product(product(c,a),b))
    | bigC(product(a,b),X_46,product(c,b)) = product(product(product(a,b),X_46),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) )],[refute_0_1349,refute_0_5068]) ).

cnf(refute_0_5070,plain,
    bigC(product(a,b),X_46,product(c,b)) = product(product(product(a,b),X_46),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_46,quotient(product(product(c,a),b),product(a,b))),product(product(product(a,b),X_46),product(product(c,a),b))) )],[refute_0_5067,refute_0_5069]) ).

cnf(refute_0_5071,plain,
    product(product(product(a,b),X_46),product(product(c,a),b)) = product(bigC(a,b,c),product(X_46,b)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_25,$fot(X_46)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_5072,plain,
    ( bigC(product(a,b),X_46,product(c,b)) != product(product(product(a,b),X_46),product(product(c,a),b))
    | product(product(product(a,b),X_46),product(product(c,a),b)) != product(bigC(a,b,c),product(X_46,b))
    | bigC(product(a,b),X_46,product(c,b)) = product(bigC(a,b,c),product(X_46,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_46,product(c,b)),product(bigC(a,b,c),product(X_46,b))) ),[0],$fot(product(product(product(a,b),X_46),product(product(c,a),b)))]]) ).

cnf(refute_0_5073,plain,
    ( bigC(product(a,b),X_46,product(c,b)) != product(product(product(a,b),X_46),product(product(c,a),b))
    | bigC(product(a,b),X_46,product(c,b)) = product(bigC(a,b,c),product(X_46,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_46),product(product(c,a),b)),product(bigC(a,b,c),product(X_46,b))) )],[refute_0_5071,refute_0_5072]) ).

cnf(refute_0_5074,plain,
    bigC(product(a,b),X_46,product(c,b)) = product(bigC(a,b,c),product(X_46,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_46,product(c,b)),product(product(product(a,b),X_46),product(product(c,a),b))) )],[refute_0_5070,refute_0_5073]) ).

cnf(refute_0_5075,plain,
    bigC(product(a,b),product(a,b),product(c,b)) = product(bigC(a,b,c),product(product(a,b),b)),
    inference(subst,[],[refute_0_5074:[bind(X_46,$fot(product(a,b)))]]) ).

cnf(refute_0_5076,plain,
    ( bigC(product(a,b),product(a,b),product(c,b)) != product(bigC(a,b,c),product(product(a,b),b))
    | difference(product(a,b),bigC(product(a,b),product(a,b),product(c,b))) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,b),product(a,b),product(c,b))),product(product(c,b),product(a,b))) ),[0,1],$fot(product(bigC(a,b,c),product(product(a,b),b)))]]) ).

cnf(refute_0_5077,plain,
    ( difference(product(a,b),bigC(product(a,b),product(a,b),product(c,b))) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,b)),product(bigC(a,b,c),product(product(a,b),b))) )],[refute_0_5075,refute_0_5076]) ).

cnf(refute_0_5078,plain,
    difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = product(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,b),product(a,b),product(c,b))),product(product(c,b),product(a,b))) )],[refute_0_5066,refute_0_5077]) ).

cnf(refute_0_5079,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_5080,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_5081,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_5079,refute_0_5080]) ).

cnf(refute_0_5082,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_3447,refute_0_5081]) ).

cnf(refute_0_5083,plain,
    product(bigC(a,b,c),product(product(a,b),b)) = product(bigC(a,a,c),product(b,b)),
    inference(subst,[],[refute_0_398:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_5084,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(bigC(a,b,c),product(product(a,b),b)) != product(bigC(a,a,c),product(b,b))
    | product(bigC(a,b,c),product(product(a,b),b)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,c),product(product(a,b),b)))),bind(Y,$fot(product(bigC(a,a,c),product(b,b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5085,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(bigC(a,b,c),product(product(a,b),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(product(a,b),b)),product(bigC(a,a,c),product(b,b))) )],[refute_0_5083,refute_0_5084]) ).

cnf(refute_0_5086,plain,
    product(bigC(a,b,c),product(product(a,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_5082,refute_0_5085]) ).

cnf(refute_0_5087,plain,
    difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))))]]) ).

cnf(refute_0_5088,plain,
    ( difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) != difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b)))
    | product(bigC(a,b,c),product(product(a,b),b)) != product(bigC(a,a,c),b)
    | difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = difference(product(a,b),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b)))) ),[1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_5089,plain,
    ( product(bigC(a,b,c),product(product(a,b),b)) != product(bigC(a,a,c),b)
    | difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = difference(product(a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b)))) )],[refute_0_5087,refute_0_5088]) ).

cnf(refute_0_5090,plain,
    difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) = difference(product(a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(product(a,b),b)),product(bigC(a,a,c),b)) )],[refute_0_5086,refute_0_5089]) ).

cnf(refute_0_5091,plain,
    ( difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) != difference(product(a,b),product(bigC(a,a,c),b))
    | difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,a,c),b)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),product(product(c,b),product(a,b))) ),[0],$fot(difference(product(a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5092,plain,
    ( difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,a,c),b)) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),difference(product(a,b),product(bigC(a,a,c),b))) )],[refute_0_5090,refute_0_5091]) ).

cnf(refute_0_5093,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(product(c,b),product(a,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(a,b)))),bind(Y,$fot(product(product(c,a),b))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_5094,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,b),product(a,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_211,refute_0_5093]) ).

cnf(refute_0_5095,plain,
    product(product(c,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_760,refute_0_5094]) ).

cnf(refute_0_5096,plain,
    ( difference(product(a,b),product(bigC(a,a,c),b)) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(c,product(c,b))
    | difference(product(a,b),product(bigC(a,a,c),b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(bigC(a,a,c),b)),product(c,product(c,b))) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

cnf(refute_0_5097,plain,
    ( difference(product(a,b),product(bigC(a,a,c),b)) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,a,c),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(c,product(c,b))) )],[refute_0_5095,refute_0_5096]) ).

cnf(refute_0_5098,plain,
    ( difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))) != product(product(c,b),product(a,b))
    | difference(product(a,b),product(bigC(a,a,c),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(bigC(a,a,c),b)),product(product(c,b),product(a,b))) )],[refute_0_5092,refute_0_5097]) ).

cnf(refute_0_5099,plain,
    difference(product(a,b),product(bigC(a,a,c),b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(bigC(a,b,c),product(product(a,b),b))),product(product(c,b),product(a,b))) )],[refute_0_5078,refute_0_5098]) ).

cnf(refute_0_5100,plain,
    ( difference(product(a,b),product(bigC(a,a,c),b)) != product(c,product(c,b))
    | product(product(a,b),difference(product(a,b),product(bigC(a,a,c),b))) != product(bigC(a,a,c),b)
    | product(product(a,b),product(c,product(c,b))) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(product(a,b),product(bigC(a,a,c),b))),product(bigC(a,a,c),b)) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5101,plain,
    ( product(product(a,b),difference(product(a,b),product(bigC(a,a,c),b))) != 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(difference(product(a,b),product(bigC(a,a,c),b)),product(c,product(c,b))) )],[refute_0_5099,refute_0_5100]) ).

cnf(refute_0_5102,plain,
    product(product(a,b),product(c,product(c,b))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(product(a,b),product(bigC(a,a,c),b))),product(bigC(a,a,c),b)) )],[refute_0_5065,refute_0_5101]) ).

cnf(refute_0_5103,plain,
    bigC(a,c,b) = bigC(a,b,c),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_5104,plain,
    ( bigC(a,b,c) != c
    | bigC(a,c,b) != bigC(a,b,c)
    | bigC(a,c,b) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,c,b))),bind(Y,$fot(bigC(a,b,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_5105,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_5103,refute_0_5104]) ).

cnf(refute_0_5106,plain,
    bigC(a,c,b) = c,
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_5105]) ).

cnf(refute_0_5107,plain,
    product(product(a,b),bigC(a,c,b)) = product(product(a,b),bigC(a,c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(a,c,b)))]]) ).

cnf(refute_0_5108,plain,
    ( bigC(a,c,b) != c
    | product(product(a,b),bigC(a,c,b)) != product(product(a,b),bigC(a,c,b))
    | product(product(a,b),bigC(a,c,b)) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(a,c,b)),product(product(a,b),bigC(a,c,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5109,plain,
    ( bigC(a,c,b) != c
    | product(product(a,b),bigC(a,c,b)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,c,b)),product(product(a,b),bigC(a,c,b))) )],[refute_0_5107,refute_0_5108]) ).

cnf(refute_0_5110,plain,
    product(product(a,b),bigC(a,c,b)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),c) )],[refute_0_5106,refute_0_5109]) ).

cnf(refute_0_5111,plain,
    ( product(product(a,b),bigC(a,c,b)) != product(product(a,b),c)
    | product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),bigC(a,c,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),bigC(a,c,b)))),bind(Y,$fot(product(product(a,b),c))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_5112,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),bigC(a,c,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,c,b)),product(product(a,b),c)) )],[refute_0_5110,refute_0_5111]) ).

cnf(refute_0_5113,plain,
    product(product(a,b),bigC(a,c,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_5112]) ).

cnf(refute_0_5114,plain,
    bigC(product(a,c),product(c,b),X_19) = product(product(product(a,c),product(c,b)),product(X_19,product(a,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(X_19))]]) ).

cnf(refute_0_5115,plain,
    ( bigC(product(a,c),product(c,b),X_19) != product(product(product(a,c),product(c,b)),product(X_19,product(a,c)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(a,c),product(c,b),X_19) = product(product(a,b),product(X_19,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(product(a,c),product(c,b)),product(X_19,product(a,c)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_5116,plain,
    ( bigC(product(a,c),product(c,b),X_19) != product(product(product(a,c),product(c,b)),product(X_19,product(a,c)))
    | bigC(product(a,c),product(c,b),X_19) = product(product(a,b),product(X_19,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_5115]) ).

cnf(refute_0_5117,plain,
    bigC(product(a,c),product(c,b),X_19) = product(product(a,b),product(X_19,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(product(a,c),product(c,b)),product(X_19,product(a,c)))) )],[refute_0_5114,refute_0_5116]) ).

cnf(refute_0_5118,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_5117:[bind(X_19,$fot(product(c,B)))]]) ).

cnf(refute_0_5119,plain,
    bigC(c,B,a) = product(product(c,B),product(a,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_5120,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_16:[bind(X,$fot(bigC(c,B,a))),bind(Y,$fot(product(product(c,B),product(a,c))))]]) ).

cnf(refute_0_5121,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_5119,refute_0_5120]) ).

cnf(refute_0_5122,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_5123,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_5121,refute_0_5122]) ).

cnf(refute_0_5124,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_5118,refute_0_5123]) ).

cnf(refute_0_5125,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_5117:[bind(X_19,$fot(product(A,C)))]]) ).

cnf(refute_0_5126,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(product(A,a),product(C,c))
    | bigC(product(a,c),product(c,b),product(A,C)) = product(product(a,b),product(product(A,a),product(C,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(product(A,a),product(C,c)))]]) ).

cnf(refute_0_5127,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(product(A,a),product(C,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,c)),product(product(A,a),product(C,c))) )],[refute_0_2688,refute_0_5126]) ).

cnf(refute_0_5128,plain,
    bigC(product(a,c),product(c,b),product(A,C)) = product(product(a,b),product(product(A,a),product(C,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_5125,refute_0_5127]) ).

cnf(refute_0_5129,plain,
    product(product(a,b),product(product(A,a),product(C,c))) = product(bigC(a,a,A),product(b,product(C,c))),
    inference(subst,[],[refute_0_392:[bind(A,$fot(a)),bind(B,$fot(b)),bind(D,$fot(product(C,c))),bind(X_36,$fot(A))]]) ).

cnf(refute_0_5130,plain,
    ( bigC(product(a,c),product(c,b),product(A,C)) != product(product(a,b),product(product(A,a),product(C,c)))
    | product(product(a,b),product(product(A,a),product(C,c))) != product(bigC(a,a,A),product(b,product(C,c)))
    | bigC(product(a,c),product(c,b),product(A,C)) = product(bigC(a,a,A),product(b,product(C,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),product(A,C)),product(bigC(a,a,A),product(b,product(C,c)))) ),[0],$fot(product(product(a,b),product(product(A,a),product(C,c))))]]) ).

cnf(refute_0_5131,plain,
    ( bigC(product(a,c),product(c,b),product(A,C)) != product(product(a,b),product(product(A,a),product(C,c)))
    | bigC(product(a,c),product(c,b),product(A,C)) = product(bigC(a,a,A),product(b,product(C,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(A,a),product(C,c))),product(bigC(a,a,A),product(b,product(C,c)))) )],[refute_0_5129,refute_0_5130]) ).

cnf(refute_0_5132,plain,
    bigC(product(a,c),product(c,b),product(A,C)) = product(bigC(a,a,A),product(b,product(C,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(A,C)),product(product(a,b),product(product(A,a),product(C,c)))) )],[refute_0_5128,refute_0_5131]) ).

cnf(refute_0_5133,plain,
    bigC(product(a,c),product(c,b),product(c,B)) = product(bigC(a,a,c),product(b,product(B,c))),
    inference(subst,[],[refute_0_5132:[bind(A,$fot(c)),bind(C,$fot(B))]]) ).

cnf(refute_0_5134,plain,
    ( bigC(product(a,c),product(c,b),product(c,B)) != product(bigC(a,a,c),product(b,product(B,c)))
    | bigC(product(a,c),product(c,b),product(c,B)) != product(product(a,b),bigC(c,B,a))
    | product(bigC(a,a,c),product(b,product(B,c))) = product(product(a,b),bigC(c,B,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,B)),product(product(a,b),bigC(c,B,a))) ),[0],$fot(product(bigC(a,a,c),product(b,product(B,c))))]]) ).

cnf(refute_0_5135,plain,
    ( bigC(product(a,c),product(c,b),product(c,B)) != product(product(a,b),bigC(c,B,a))
    | product(bigC(a,a,c),product(b,product(B,c))) = product(product(a,b),bigC(c,B,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,B)),product(bigC(a,a,c),product(b,product(B,c)))) )],[refute_0_5133,refute_0_5134]) ).

cnf(refute_0_5136,plain,
    product(bigC(a,a,c),product(b,product(B,c))) = 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),bigC(c,B,a))) )],[refute_0_5124,refute_0_5135]) ).

cnf(refute_0_5137,plain,
    bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) = product(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(C,product(a,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,c))),bind(B,$fot(quotient(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5138,plain,
    ( bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(C,product(a,c)))
    | product(product(a,c),quotient(bigC(c,a,b),product(a,c))) != product(a,b)
    | bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) = product(product(a,b),product(C,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C),product(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(C,product(a,c)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_5139,plain,
    ( bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(C,product(a,c)))
    | bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) = product(product(a,b),product(C,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(a,b)) )],[refute_0_4258,refute_0_5138]) ).

cnf(refute_0_5140,plain,
    bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) = product(product(a,b),product(C,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C),product(product(product(a,c),quotient(bigC(c,a,b),product(a,c))),product(C,product(a,c)))) )],[refute_0_5137,refute_0_5139]) ).

cnf(refute_0_5141,plain,
    bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) = product(product(product(a,c),C),bigC(c,a,b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,c))),bind(X_44,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_5142,plain,
    ( bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(a,b),product(C,product(a,c)))
    | bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(product(a,c),C),bigC(c,a,b))
    | product(product(product(a,c),C),bigC(c,a,b)) = product(product(a,b),product(C,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C),product(product(a,b),product(C,product(a,c)))) ),[0],$fot(product(product(product(a,c),C),bigC(c,a,b)))]]) ).

cnf(refute_0_5143,plain,
    ( bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(a,b),product(C,product(a,c)))
    | product(product(product(a,c),C),bigC(c,a,b)) = product(product(a,b),product(C,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C),product(product(product(a,c),C),bigC(c,a,b))) )],[refute_0_5141,refute_0_5142]) ).

cnf(refute_0_5144,plain,
    ( bigC(product(a,c),product(c,b),X_19) != product(product(a,b),product(X_19,product(a,c)))
    | product(product(a,b),product(X_19,product(a,c))) = bigC(product(a,c),product(c,b),X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,c),product(c,b),X_19))),bind(Y,$fot(product(product(a,b),product(X_19,product(a,c)))))]]) ).

cnf(refute_0_5145,plain,
    product(product(a,b),product(X_19,product(a,c))) = bigC(product(a,c),product(c,b),X_19),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(a,b),product(X_19,product(a,c)))) )],[refute_0_5117,refute_0_5144]) ).

cnf(refute_0_5146,plain,
    product(product(a,b),product(C,product(a,c))) = bigC(product(a,c),product(c,b),C),
    inference(subst,[],[refute_0_5145:[bind(X_19,$fot(C))]]) ).

cnf(refute_0_5147,plain,
    ( product(product(a,b),product(C,product(a,c))) != bigC(product(a,c),product(c,b),C)
    | product(product(product(a,c),C),bigC(c,a,b)) != product(product(a,b),product(C,product(a,c)))
    | product(product(product(a,c),C),bigC(c,a,b)) = bigC(product(a,c),product(c,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),product(product(a,b),product(C,product(a,c)))) ),[1],$fot(bigC(product(a,c),product(c,b),C))]]) ).

cnf(refute_0_5148,plain,
    ( product(product(product(a,c),C),bigC(c,a,b)) != product(product(a,b),product(C,product(a,c)))
    | product(product(product(a,c),C),bigC(c,a,b)) = bigC(product(a,c),product(c,b),C) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(C,product(a,c))),bigC(product(a,c),product(c,b),C)) )],[refute_0_5146,refute_0_5147]) ).

cnf(refute_0_5149,plain,
    ( bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C) != product(product(a,b),product(C,product(a,c)))
    | product(product(product(a,c),C),bigC(c,a,b)) = bigC(product(a,c),product(c,b),C) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),product(product(a,b),product(C,product(a,c)))) )],[refute_0_5143,refute_0_5148]) ).

cnf(refute_0_5150,plain,
    product(product(product(a,c),C),bigC(c,a,b)) = bigC(product(a,c),product(c,b),C),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(bigC(c,a,b),product(a,c)),C),product(product(a,b),product(C,product(a,c)))) )],[refute_0_5140,refute_0_5149]) ).

cnf(refute_0_5151,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_5152,plain,
    ( bigC(c,a,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(product(a,c),C),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),product(product(product(a,c),C),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5153,plain,
    ( bigC(c,a,b) != c
    | product(product(product(a,c),C),bigC(c,a,b)) = product(product(product(a,c),C),c) ),
    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_5151,refute_0_5152]) ).

cnf(refute_0_5154,plain,
    product(product(product(a,c),C),bigC(c,a,b)) = product(product(product(a,c),C),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_5153]) ).

cnf(refute_0_5155,plain,
    ( product(product(product(a,c),C),bigC(c,a,b)) != bigC(product(a,c),product(c,b),C)
    | product(product(product(a,c),C),bigC(c,a,b)) != product(product(product(a,c),C),c)
    | product(product(product(a,c),C),c) = bigC(product(a,c),product(c,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),bigC(product(a,c),product(c,b),C)) ),[0],$fot(product(product(product(a,c),C),c))]]) ).

cnf(refute_0_5156,plain,
    ( product(product(product(a,c),C),bigC(c,a,b)) != bigC(product(a,c),product(c,b),C)
    | product(product(product(a,c),C),c) = bigC(product(a,c),product(c,b),C) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),product(product(product(a,c),C),c)) )],[refute_0_5154,refute_0_5155]) ).

cnf(refute_0_5157,plain,
    product(product(product(a,c),C),c) = bigC(product(a,c),product(c,b),C),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),bigC(c,a,b)),bigC(product(a,c),product(c,b),C)) )],[refute_0_5150,refute_0_5156]) ).

cnf(refute_0_5158,plain,
    ( product(product(product(a,c),C),c) != bigC(product(a,c),product(c,b),C)
    | bigC(product(a,c),product(c,b),C) = product(product(product(a,c),C),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(a,c),C),c))),bind(Y,$fot(bigC(product(a,c),product(c,b),C)))]]) ).

cnf(refute_0_5159,plain,
    bigC(product(a,c),product(c,b),C) = product(product(product(a,c),C),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),c),bigC(product(a,c),product(c,b),C)) )],[refute_0_5157,refute_0_5158]) ).

cnf(refute_0_5160,plain,
    bigC(product(a,c),product(c,b),product(A,C)) = product(product(product(a,c),product(A,C)),c),
    inference(subst,[],[refute_0_5159:[bind(C,$fot(product(A,C)))]]) ).

cnf(refute_0_5161,plain,
    ( bigC(product(a,c),product(c,b),product(A,C)) != product(bigC(a,a,A),product(b,product(C,c)))
    | bigC(product(a,c),product(c,b),product(A,C)) != product(product(product(a,c),product(A,C)),c)
    | product(product(product(a,c),product(A,C)),c) = product(bigC(a,a,A),product(b,product(C,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(A,C)),product(bigC(a,a,A),product(b,product(C,c)))) ),[0],$fot(product(product(product(a,c),product(A,C)),c))]]) ).

cnf(refute_0_5162,plain,
    ( bigC(product(a,c),product(c,b),product(A,C)) != product(bigC(a,a,A),product(b,product(C,c)))
    | product(product(product(a,c),product(A,C)),c) = product(bigC(a,a,A),product(b,product(C,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(A,C)),product(product(product(a,c),product(A,C)),c)) )],[refute_0_5160,refute_0_5161]) ).

cnf(refute_0_5163,plain,
    product(product(product(a,c),product(A,C)),c) = product(bigC(a,a,A),product(b,product(C,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(A,C)),product(bigC(a,a,A),product(b,product(C,c)))) )],[refute_0_5132,refute_0_5162]) ).

cnf(refute_0_5164,plain,
    ( product(product(product(a,c),product(A,C)),c) != product(bigC(a,a,A),product(b,product(C,c)))
    | product(bigC(a,a,A),product(b,product(C,c))) = product(product(product(a,c),product(A,C)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(a,c),product(A,C)),c))),bind(Y,$fot(product(bigC(a,a,A),product(b,product(C,c)))))]]) ).

cnf(refute_0_5165,plain,
    product(bigC(a,a,A),product(b,product(C,c))) = product(product(product(a,c),product(A,C)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(A,C)),c),product(bigC(a,a,A),product(b,product(C,c)))) )],[refute_0_5163,refute_0_5164]) ).

cnf(refute_0_5166,plain,
    product(bigC(a,a,c),product(b,product(B,c))) = product(product(product(a,c),product(c,B)),c),
    inference(subst,[],[refute_0_5165:[bind(A,$fot(c)),bind(C,$fot(B))]]) ).

cnf(refute_0_5167,plain,
    ( product(bigC(a,a,c),product(b,product(B,c))) != product(product(a,b),bigC(c,B,a))
    | product(bigC(a,a,c),product(b,product(B,c))) != product(product(product(a,c),product(c,B)),c)
    | product(product(product(a,c),product(c,B)),c) = product(product(a,b),bigC(c,B,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(b,product(B,c))),product(product(a,b),bigC(c,B,a))) ),[0],$fot(product(product(product(a,c),product(c,B)),c))]]) ).

cnf(refute_0_5168,plain,
    ( product(bigC(a,a,c),product(b,product(B,c))) != product(product(a,b),bigC(c,B,a))
    | product(product(product(a,c),product(c,B)),c) = product(product(a,b),bigC(c,B,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,product(B,c))),product(product(product(a,c),product(c,B)),c)) )],[refute_0_5166,refute_0_5167]) ).

cnf(refute_0_5169,plain,
    product(product(product(a,c),product(c,B)),c) = product(product(a,b),bigC(c,B,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,product(B,c))),product(product(a,b),bigC(c,B,a))) )],[refute_0_5136,refute_0_5168]) ).

cnf(refute_0_5170,plain,
    bigC(product(a,b),product(c,B),c) = bigC(product(a,b),c,product(c,B)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,b))),bind(B,$fot(c)),bind(C,$fot(product(c,B)))]]) ).

cnf(refute_0_5171,plain,
    bigC(product(a,b),B,c) = product(product(product(a,b),B),product(c,product(a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_5172,plain,
    ( bigC(product(a,b),B,c) != product(product(product(a,b),B),product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(product(a,b),B,c) = product(product(product(a,b),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,c),product(product(product(a,b),B),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5173,plain,
    ( bigC(product(a,b),B,c) != product(product(product(a,b),B),product(c,product(a,b)))
    | bigC(product(a,b),B,c) = product(product(product(a,b),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_5172]) ).

cnf(refute_0_5174,plain,
    bigC(product(a,b),B,c) = product(product(product(a,b),B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,c),product(product(product(a,b),B),product(c,product(a,b)))) )],[refute_0_5171,refute_0_5173]) ).

cnf(refute_0_5175,plain,
    bigC(product(a,c),product(c,b),X_19) = product(product(product(a,c),X_19),c),
    inference(subst,[],[refute_0_5159:[bind(C,$fot(X_19))]]) ).

cnf(refute_0_5176,plain,
    ( bigC(product(a,c),product(c,b),X_19) != product(product(a,b),product(X_19,product(a,c)))
    | bigC(product(a,c),product(c,b),X_19) != product(product(product(a,c),X_19),c)
    | product(product(product(a,c),X_19),c) = product(product(a,b),product(X_19,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(a,b),product(X_19,product(a,c)))) ),[0],$fot(product(product(product(a,c),X_19),c))]]) ).

cnf(refute_0_5177,plain,
    ( bigC(product(a,c),product(c,b),X_19) != product(product(a,b),product(X_19,product(a,c)))
    | product(product(product(a,c),X_19),c) = product(product(a,b),product(X_19,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(product(a,c),X_19),c)) )],[refute_0_5175,refute_0_5176]) ).

cnf(refute_0_5178,plain,
    product(product(product(a,c),X_19),c) = product(product(a,b),product(X_19,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_19),product(product(a,b),product(X_19,product(a,c)))) )],[refute_0_5117,refute_0_5177]) ).

cnf(refute_0_5179,plain,
    ( product(product(product(a,c),X_19),c) != product(product(a,b),product(X_19,product(a,c)))
    | product(product(a,b),product(X_19,product(a,c))) = product(product(product(a,c),X_19),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(a,c),X_19),c))),bind(Y,$fot(product(product(a,b),product(X_19,product(a,c)))))]]) ).

cnf(refute_0_5180,plain,
    product(product(a,b),product(X_19,product(a,c))) = product(product(product(a,c),X_19),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_19),c),product(product(a,b),product(X_19,product(a,c)))) )],[refute_0_5178,refute_0_5179]) ).

cnf(refute_0_5181,plain,
    product(product(a,b),product(B,product(a,c))) = product(product(product(a,c),B),c),
    inference(subst,[],[refute_0_5180:[bind(X_19,$fot(B))]]) ).

cnf(refute_0_5182,plain,
    product(bigC(a,b,a),product(B,product(b,c))) = product(product(a,b),product(B,product(a,c))),
    inference(subst,[],[refute_0_464:[bind(X_25,$fot(B)),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_5183,plain,
    ( product(bigC(a,b,a),product(B,product(b,c))) != product(product(a,b),product(B,product(a,c)))
    | product(product(a,b),product(B,product(a,c))) != product(product(product(a,c),B),c)
    | product(bigC(a,b,a),product(B,product(b,c))) = product(product(product(a,c),B),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,a),product(B,product(b,c))))),bind(Y,$fot(product(product(a,b),product(B,product(a,c))))),bind(Z,$fot(product(product(product(a,c),B),c)))]]) ).

cnf(refute_0_5184,plain,
    ( product(product(a,b),product(B,product(a,c))) != product(product(product(a,c),B),c)
    | product(bigC(a,b,a),product(B,product(b,c))) = product(product(product(a,c),B),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,product(b,c))),product(product(a,b),product(B,product(a,c)))) )],[refute_0_5182,refute_0_5183]) ).

cnf(refute_0_5185,plain,
    product(bigC(a,b,a),product(B,product(b,c))) = product(product(product(a,c),B),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(B,product(a,c))),product(product(product(a,c),B),c)) )],[refute_0_5181,refute_0_5184]) ).

cnf(refute_0_5186,plain,
    product(product(product(a,b),B),product(a,product(b,c))) = product(bigC(a,b,a),product(B,product(b,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(B)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_5187,plain,
    ( product(bigC(a,b,a),product(B,product(b,c))) != product(product(product(a,c),B),c)
    | product(product(product(a,b),B),product(a,product(b,c))) != product(bigC(a,b,a),product(B,product(b,c)))
    | product(product(product(a,b),B),product(a,product(b,c))) = product(product(product(a,c),B),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),B),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,b,a),product(B,product(b,c))))),bind(Z,$fot(product(product(product(a,c),B),c)))]]) ).

cnf(refute_0_5188,plain,
    ( product(bigC(a,b,a),product(B,product(b,c))) != product(product(product(a,c),B),c)
    | product(product(product(a,b),B),product(a,product(b,c))) = product(product(product(a,c),B),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(a,product(b,c))),product(bigC(a,b,a),product(B,product(b,c)))) )],[refute_0_5186,refute_0_5187]) ).

cnf(refute_0_5189,plain,
    product(product(product(a,b),B),product(a,product(b,c))) = product(product(product(a,c),B),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,product(b,c))),product(product(product(a,c),B),c)) )],[refute_0_5185,refute_0_5188]) ).

cnf(refute_0_5190,plain,
    ( bigC(product(a,b),B,c) != product(product(product(a,b),B),product(a,product(b,c)))
    | product(product(product(a,b),B),product(a,product(b,c))) != product(product(product(a,c),B),c)
    | bigC(product(a,b),B,c) = product(product(product(a,c),B),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),B,c),product(product(product(a,c),B),c)) ),[0],$fot(product(product(product(a,b),B),product(a,product(b,c))))]]) ).

cnf(refute_0_5191,plain,
    ( bigC(product(a,b),B,c) != product(product(product(a,b),B),product(a,product(b,c)))
    | bigC(product(a,b),B,c) = product(product(product(a,c),B),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(a,product(b,c))),product(product(product(a,c),B),c)) )],[refute_0_5189,refute_0_5190]) ).

cnf(refute_0_5192,plain,
    bigC(product(a,b),B,c) = product(product(product(a,c),B),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,c),product(product(product(a,b),B),product(a,product(b,c)))) )],[refute_0_5174,refute_0_5191]) ).

cnf(refute_0_5193,plain,
    ( bigC(product(a,b),B,c) != product(product(product(a,c),B),c)
    | product(product(product(a,c),B),c) = bigC(product(a,b),B,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),B,c))),bind(Y,$fot(product(product(product(a,c),B),c)))]]) ).

cnf(refute_0_5194,plain,
    product(product(product(a,c),B),c) = bigC(product(a,b),B,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,c),product(product(product(a,c),B),c)) )],[refute_0_5192,refute_0_5193]) ).

cnf(refute_0_5195,plain,
    product(product(product(a,c),product(c,B)),c) = bigC(product(a,b),product(c,B),c),
    inference(subst,[],[refute_0_5194:[bind(B,$fot(product(c,B)))]]) ).

cnf(refute_0_5196,plain,
    ( bigC(product(a,b),product(c,B),c) != bigC(product(a,b),c,product(c,B))
    | product(product(product(a,c),product(c,B)),c) != bigC(product(a,b),product(c,B),c)
    | product(product(product(a,c),product(c,B)),c) = bigC(product(a,b),c,product(c,B)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(c,B)),c))),bind(Y,$fot(bigC(product(a,b),product(c,B),c))),bind(Z,$fot(bigC(product(a,b),c,product(c,B))))]]) ).

cnf(refute_0_5197,plain,
    ( bigC(product(a,b),product(c,B),c) != bigC(product(a,b),c,product(c,B))
    | product(product(product(a,c),product(c,B)),c) = bigC(product(a,b),c,product(c,B)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,B)),c),bigC(product(a,b),product(c,B),c)) )],[refute_0_5195,refute_0_5196]) ).

cnf(refute_0_5198,plain,
    product(product(product(a,c),product(c,B)),c) = bigC(product(a,b),c,product(c,B)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,B),c),bigC(product(a,b),c,product(c,B))) )],[refute_0_5170,refute_0_5197]) ).

cnf(refute_0_5199,plain,
    ( product(product(product(a,c),product(c,B)),c) != bigC(product(a,b),c,product(c,B))
    | product(product(product(a,c),product(c,B)),c) != product(product(a,b),bigC(c,B,a))
    | bigC(product(a,b),c,product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(c,B)),c),product(product(a,b),bigC(c,B,a))) ),[0],$fot(bigC(product(a,b),c,product(c,B)))]]) ).

cnf(refute_0_5200,plain,
    ( product(product(product(a,c),product(c,B)),c) != product(product(a,b),bigC(c,B,a))
    | bigC(product(a,b),c,product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,B)),c),bigC(product(a,b),c,product(c,B))) )],[refute_0_5198,refute_0_5199]) ).

cnf(refute_0_5201,plain,
    bigC(product(a,b),c,product(c,B)) = product(product(a,b),bigC(c,B,a)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,B)),c),product(product(a,b),bigC(c,B,a))) )],[refute_0_5169,refute_0_5200]) ).

cnf(refute_0_5202,plain,
    bigC(c,product(c,B),product(a,b)) = bigC(c,product(a,b),product(c,B)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,B)))]]) ).

cnf(refute_0_5203,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C))]]) ).

cnf(refute_0_5204,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(a,b),bigC(b,a,c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C)) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_5205,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(a,b),bigC(b,a,c),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C)) )],[refute_0_5203,refute_0_5204]) ).

cnf(refute_0_5206,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) = bigC(product(a,b),bigC(b,a,c),C),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_5205]) ).

cnf(refute_0_5207,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != bigC(product(a,b),bigC(b,a,c),C)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),bigC(b,a,c),C) = bigC(product(c,b),C,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(c,b),C,product(a,c))) ),[0],$fot(bigC(product(a,b),bigC(b,a,c),C))]]) ).

cnf(refute_0_5208,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),bigC(b,a,c),C) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(a,b),bigC(b,a,c),C)) )],[refute_0_5206,refute_0_5207]) ).

cnf(refute_0_5209,plain,
    bigC(product(a,b),bigC(b,a,c),C) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),C),bigC(product(c,b),C,product(a,c))) )],[refute_0_4595,refute_0_5208]) ).

cnf(refute_0_5210,plain,
    bigC(product(a,b),bigC(b,a,c),C) = bigC(product(a,b),bigC(b,a,c),C),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),bigC(b,a,c),C))]]) ).

cnf(refute_0_5211,plain,
    ( bigC(b,a,c) != c
    | bigC(product(a,b),bigC(b,a,c),C) != bigC(product(a,b),bigC(b,a,c),C)
    | bigC(product(a,b),bigC(b,a,c),C) = bigC(product(a,b),c,C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),C),bigC(product(a,b),bigC(b,a,c),C)) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5212,plain,
    ( bigC(b,a,c) != c
    | bigC(product(a,b),bigC(b,a,c),C) = bigC(product(a,b),c,C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),C),bigC(product(a,b),bigC(b,a,c),C)) )],[refute_0_5210,refute_0_5211]) ).

cnf(refute_0_5213,plain,
    bigC(product(a,b),bigC(b,a,c),C) = bigC(product(a,b),c,C),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_5212]) ).

cnf(refute_0_5214,plain,
    ( bigC(product(a,b),bigC(b,a,c),C) != bigC(product(a,b),c,C)
    | bigC(product(a,b),bigC(b,a,c),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),c,C) = bigC(product(c,b),C,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),C),bigC(product(c,b),C,product(a,c))) ),[0],$fot(bigC(product(a,b),c,C))]]) ).

cnf(refute_0_5215,plain,
    ( bigC(product(a,b),bigC(b,a,c),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),c,C) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),C),bigC(product(a,b),c,C)) )],[refute_0_5213,refute_0_5214]) ).

cnf(refute_0_5216,plain,
    bigC(product(c,b),C,product(a,c)) = bigC(product(a,b),C,c),
    inference(subst,[],[refute_0_4639:[bind(B,$fot(C))]]) ).

cnf(refute_0_5217,plain,
    ( bigC(product(a,b),c,C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(c,b),C,product(a,c)) != bigC(product(a,b),C,c)
    | bigC(product(a,b),c,C) = bigC(product(a,b),C,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),c,C),bigC(product(a,b),C,c)) ),[0],$fot(bigC(product(c,b),C,product(a,c)))]]) ).

cnf(refute_0_5218,plain,
    ( bigC(product(a,b),c,C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),c,C) = bigC(product(a,b),C,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,product(a,c)),bigC(product(a,b),C,c)) )],[refute_0_5216,refute_0_5217]) ).

cnf(refute_0_5219,plain,
    ( bigC(product(a,b),bigC(b,a,c),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(a,b),c,C) = bigC(product(a,b),C,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,C),bigC(product(c,b),C,product(a,c))) )],[refute_0_5215,refute_0_5218]) ).

cnf(refute_0_5220,plain,
    bigC(product(a,b),c,C) = bigC(product(a,b),C,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),C),bigC(product(c,b),C,product(a,c))) )],[refute_0_5209,refute_0_5219]) ).

cnf(refute_0_5221,plain,
    ( bigC(c,X_18,product(a,b)) != bigC(product(a,b),X_18,c)
    | bigC(product(a,b),X_18,c) = bigC(c,X_18,product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,X_18,product(a,b)))),bind(Y,$fot(bigC(product(a,b),X_18,c)))]]) ).

cnf(refute_0_5222,plain,
    bigC(product(a,b),X_18,c) = bigC(c,X_18,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,b)),bigC(product(a,b),X_18,c)) )],[refute_0_4649,refute_0_5221]) ).

cnf(refute_0_5223,plain,
    bigC(product(a,b),C,c) = bigC(c,C,product(a,b)),
    inference(subst,[],[refute_0_5222:[bind(X_18,$fot(C))]]) ).

cnf(refute_0_5224,plain,
    ( bigC(product(a,b),C,c) != bigC(c,C,product(a,b))
    | bigC(product(a,b),c,C) != bigC(product(a,b),C,c)
    | bigC(product(a,b),c,C) = bigC(c,C,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),c,C),bigC(product(a,b),C,c)) ),[1],$fot(bigC(c,C,product(a,b)))]]) ).

cnf(refute_0_5225,plain,
    ( bigC(product(a,b),c,C) != bigC(product(a,b),C,c)
    | bigC(product(a,b),c,C) = bigC(c,C,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),C,c),bigC(c,C,product(a,b))) )],[refute_0_5223,refute_0_5224]) ).

cnf(refute_0_5226,plain,
    bigC(product(a,b),c,C) = bigC(c,C,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,C),bigC(product(a,b),C,c)) )],[refute_0_5220,refute_0_5225]) ).

cnf(refute_0_5227,plain,
    bigC(product(a,b),c,product(c,B)) = bigC(c,product(c,B),product(a,b)),
    inference(subst,[],[refute_0_5226:[bind(C,$fot(product(c,B)))]]) ).

cnf(refute_0_5228,plain,
    ( bigC(c,product(c,B),product(a,b)) != bigC(c,product(a,b),product(c,B))
    | bigC(product(a,b),c,product(c,B)) != bigC(c,product(c,B),product(a,b))
    | bigC(product(a,b),c,product(c,B)) = bigC(c,product(a,b),product(c,B)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),c,product(c,B)))),bind(Y,$fot(bigC(c,product(c,B),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),product(c,B))))]]) ).

cnf(refute_0_5229,plain,
    ( bigC(c,product(c,B),product(a,b)) != bigC(c,product(a,b),product(c,B))
    | bigC(product(a,b),c,product(c,B)) = bigC(c,product(a,b),product(c,B)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,B)),bigC(c,product(c,B),product(a,b))) )],[refute_0_5227,refute_0_5228]) ).

cnf(refute_0_5230,plain,
    bigC(product(a,b),c,product(c,B)) = bigC(c,product(a,b),product(c,B)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,B),product(a,b)),bigC(c,product(a,b),product(c,B))) )],[refute_0_5202,refute_0_5229]) ).

cnf(refute_0_5231,plain,
    ( bigC(product(a,b),c,product(c,B)) != bigC(c,product(a,b),product(c,B))
    | bigC(product(a,b),c,product(c,B)) != product(product(a,b),bigC(c,B,a))
    | bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),c,product(c,B)),product(product(a,b),bigC(c,B,a))) ),[0],$fot(bigC(c,product(a,b),product(c,B)))]]) ).

cnf(refute_0_5232,plain,
    ( bigC(product(a,b),c,product(c,B)) != product(product(a,b),bigC(c,B,a))
    | bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,B)),bigC(c,product(a,b),product(c,B))) )],[refute_0_5230,refute_0_5231]) ).

cnf(refute_0_5233,plain,
    bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(c,B,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,B)),product(product(a,b),bigC(c,B,a))) )],[refute_0_5201,refute_0_5232]) ).

cnf(refute_0_5234,plain,
    bigC(difference(b,c),quotient(a,difference(b,c)),C) = product(product(difference(b,c),quotient(a,difference(b,c))),product(C,difference(b,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(difference(b,c))),bind(B,$fot(quotient(a,difference(b,c))))]]) ).

cnf(refute_0_5235,plain,
    quotient(product(difference(b,c),a),difference(b,c)) = product(difference(b,c),quotient(a,difference(b,c))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(difference(b,c))),bind(X_44,$fot(a))]]) ).

cnf(refute_0_5236,plain,
    quotient(product(a,product(b,c)),difference(product(difference(b,c),a),product(a,product(b,c)))) = product(difference(b,c),a),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(difference(b,c),a))),bind(X_8,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_5237,plain,
    difference(product(difference(b,c),X_18),bigC(difference(b,c),X_18,b)) = product(b,difference(b,c)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(difference(b,c))),bind(X_19,$fot(b))]]) ).

cnf(refute_0_5238,plain,
    bigC(difference(b,c),B,b) = bigC(difference(b,c),b,B),
    inference(subst,[],[refute_0_121:[bind(A,$fot(difference(b,c))),bind(C,$fot(b))]]) ).

cnf(refute_0_5239,plain,
    product(product(difference(b,c),X_97),c) = product(product(difference(b,c),c),product(X_97,c)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(difference(b,c))),bind(X_24,$fot(X_97)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_5240,plain,
    product(quotient(product(a,b),c),c) = product(a,b),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(a,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_5241,plain,
    quotient(product(c,difference(c,product(a,b))),c) = product(c,quotient(difference(c,product(a,b)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(difference(c,product(a,b))))]]) ).

cnf(refute_0_5242,plain,
    ( quotient(difference(c,product(a,b)),c) != product(c,quotient(quotient(b,c),c))
    | quotient(product(c,difference(c,product(a,b))),c) != product(c,quotient(difference(c,product(a,b)),c))
    | quotient(product(c,difference(c,product(a,b))),c) = product(c,product(c,quotient(quotient(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),product(c,quotient(difference(c,product(a,b)),c))) ),[1,1],$fot(product(c,quotient(quotient(b,c),c)))]]) ).

cnf(refute_0_5243,plain,
    ( quotient(product(c,difference(c,product(a,b))),c) != product(c,quotient(difference(c,product(a,b)),c))
    | quotient(product(c,difference(c,product(a,b))),c) = product(c,product(c,quotient(quotient(b,c),c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,b)),c),product(c,quotient(quotient(b,c),c))) )],[refute_0_4229,refute_0_5242]) ).

cnf(refute_0_5244,plain,
    quotient(product(c,difference(c,product(a,b))),c) = product(c,product(c,quotient(quotient(b,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),product(c,quotient(difference(c,product(a,b)),c))) )],[refute_0_5241,refute_0_5243]) ).

cnf(refute_0_5245,plain,
    quotient(product(X_54,difference(X_54,B)),X_54) = product(X_54,quotient(difference(X_54,B),X_54)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(X_54)),bind(X_44,$fot(difference(X_54,B)))]]) ).

cnf(refute_0_5246,plain,
    product(X_54,difference(X_54,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_54))]]) ).

cnf(refute_0_5247,plain,
    ( product(X_54,difference(X_54,B)) != B
    | quotient(product(X_54,difference(X_54,B)),X_54) != product(X_54,quotient(difference(X_54,B),X_54))
    | quotient(B,X_54) = product(X_54,quotient(difference(X_54,B),X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_54,difference(X_54,B)),X_54),product(X_54,quotient(difference(X_54,B),X_54))) ),[0,0],$fot(B)]]) ).

cnf(refute_0_5248,plain,
    ( quotient(product(X_54,difference(X_54,B)),X_54) != product(X_54,quotient(difference(X_54,B),X_54))
    | quotient(B,X_54) = product(X_54,quotient(difference(X_54,B),X_54)) ),
    inference(resolve,[$cnf( $equal(product(X_54,difference(X_54,B)),B) )],[refute_0_5246,refute_0_5247]) ).

cnf(refute_0_5249,plain,
    quotient(B,X_54) = product(X_54,quotient(difference(X_54,B),X_54)),
    inference(resolve,[$cnf( $equal(quotient(product(X_54,difference(X_54,B)),X_54),product(X_54,quotient(difference(X_54,B),X_54))) )],[refute_0_5245,refute_0_5248]) ).

cnf(refute_0_5250,plain,
    ( quotient(B,X_54) != product(X_54,quotient(difference(X_54,B),X_54))
    | product(X_54,quotient(difference(X_54,B),X_54)) = quotient(B,X_54) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(B,X_54))),bind(Y,$fot(product(X_54,quotient(difference(X_54,B),X_54))))]]) ).

cnf(refute_0_5251,plain,
    product(X_54,quotient(difference(X_54,B),X_54)) = quotient(B,X_54),
    inference(resolve,[$cnf( $equal(quotient(B,X_54),product(X_54,quotient(difference(X_54,B),X_54))) )],[refute_0_5249,refute_0_5250]) ).

cnf(refute_0_5252,plain,
    product(c,quotient(difference(c,product(a,b)),c)) = quotient(product(a,b),c),
    inference(subst,[],[refute_0_5251:[bind(B,$fot(product(a,b))),bind(X_54,$fot(c))]]) ).

cnf(refute_0_5253,plain,
    ( product(c,quotient(difference(c,product(a,b)),c)) != quotient(product(a,b),c)
    | quotient(product(c,difference(c,product(a,b))),c) != product(c,quotient(difference(c,product(a,b)),c))
    | quotient(product(c,difference(c,product(a,b))),c) = quotient(product(a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,difference(c,product(a,b))),c))),bind(Y,$fot(product(c,quotient(difference(c,product(a,b)),c)))),bind(Z,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_5254,plain,
    ( product(c,quotient(difference(c,product(a,b)),c)) != quotient(product(a,b),c)
    | quotient(product(c,difference(c,product(a,b))),c) = quotient(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),product(c,quotient(difference(c,product(a,b)),c))) )],[refute_0_5241,refute_0_5253]) ).

cnf(refute_0_5255,plain,
    quotient(product(c,difference(c,product(a,b))),c) = quotient(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(a,b)),c)),quotient(product(a,b),c)) )],[refute_0_5252,refute_0_5254]) ).

cnf(refute_0_5256,plain,
    ( quotient(product(c,difference(c,product(a,b))),c) != product(c,product(c,quotient(quotient(b,c),c)))
    | quotient(product(c,difference(c,product(a,b))),c) != quotient(product(a,b),c)
    | quotient(product(a,b),c) = product(c,product(c,quotient(quotient(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),product(c,product(c,quotient(quotient(b,c),c)))) ),[0],$fot(quotient(product(a,b),c))]]) ).

cnf(refute_0_5257,plain,
    ( quotient(product(c,difference(c,product(a,b))),c) != product(c,product(c,quotient(quotient(b,c),c)))
    | quotient(product(a,b),c) = product(c,product(c,quotient(quotient(b,c),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),quotient(product(a,b),c)) )],[refute_0_5255,refute_0_5256]) ).

cnf(refute_0_5258,plain,
    ( product(c,product(c,quotient(quotient(b,c),c))) != difference(b,c)
    | quotient(product(a,b),c) != product(c,product(c,quotient(quotient(b,c),c)))
    | quotient(product(a,b),c) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),c),product(c,product(c,quotient(quotient(b,c),c)))) ),[1],$fot(difference(b,c))]]) ).

cnf(refute_0_5259,plain,
    ( quotient(product(a,b),c) != product(c,product(c,quotient(quotient(b,c),c)))
    | quotient(product(a,b),c) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(quotient(b,c),c))),difference(b,c)) )],[refute_0_4328,refute_0_5258]) ).

cnf(refute_0_5260,plain,
    ( quotient(product(c,difference(c,product(a,b))),c) != product(c,product(c,quotient(quotient(b,c),c)))
    | quotient(product(a,b),c) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),product(c,product(c,quotient(quotient(b,c),c)))) )],[refute_0_5257,refute_0_5259]) ).

cnf(refute_0_5261,plain,
    quotient(product(a,b),c) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(c,difference(c,product(a,b))),c),product(c,product(c,quotient(quotient(b,c),c)))) )],[refute_0_5244,refute_0_5260]) ).

cnf(refute_0_5262,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_5263,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_5261,refute_0_5262]) ).

cnf(refute_0_5264,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_5240,refute_0_5263]) ).

cnf(refute_0_5265,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(product(difference(b,c),X_97),c) != product(product(difference(b,c),c),product(X_97,c))
    | product(product(difference(b,c),X_97),c) = product(product(a,b),product(X_97,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_97),c),product(product(difference(b,c),c),product(X_97,c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_5266,plain,
    ( product(product(difference(b,c),X_97),c) != product(product(difference(b,c),c),product(X_97,c))
    | product(product(difference(b,c),X_97),c) = product(product(a,b),product(X_97,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_5265]) ).

cnf(refute_0_5267,plain,
    product(product(difference(b,c),X_97),c) = product(product(a,b),product(X_97,c)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),c),product(product(difference(b,c),c),product(X_97,c))) )],[refute_0_5239,refute_0_5266]) ).

cnf(refute_0_5268,plain,
    product(product(difference(b,c),X_97),c) = bigC(difference(b,c),b,X_97),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(b)),bind(C,$fot(X_97)),bind(X_70,$fot(c))]]) ).

cnf(refute_0_5269,plain,
    ( product(product(difference(b,c),X_97),c) != bigC(difference(b,c),b,X_97)
    | product(product(difference(b,c),X_97),c) != product(product(a,b),product(X_97,c))
    | bigC(difference(b,c),b,X_97) = product(product(a,b),product(X_97,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_97),c),product(product(a,b),product(X_97,c))) ),[0],$fot(bigC(difference(b,c),b,X_97))]]) ).

cnf(refute_0_5270,plain,
    ( product(product(difference(b,c),X_97),c) != product(product(a,b),product(X_97,c))
    | bigC(difference(b,c),b,X_97) = product(product(a,b),product(X_97,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),c),bigC(difference(b,c),b,X_97)) )],[refute_0_5268,refute_0_5269]) ).

cnf(refute_0_5271,plain,
    product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(product(a,b),bigC(b,a,bigC(c,a,b)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,b))),bind(X_25,$fot(X_66)),bind(X_26,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_5272,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(product(a,b),X_66),product(product(a,b),bigC(b,a,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_5273,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(product(a,b),X_66),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_2586,refute_0_5272]) ).

cnf(refute_0_5274,plain,
    product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(product(a,b),X_66),product(product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_5271,refute_0_5273]) ).

cnf(refute_0_5275,plain,
    product(product(product(a,b),X_66),product(product(c,a),b)) = product(bigC(a,b,c),product(X_66,b)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_25,$fot(X_66)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_5276,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(c,a),b))
    | product(product(product(a,b),X_66),product(product(c,a),b)) != product(bigC(a,b,c),product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(bigC(a,b,c),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(bigC(a,b,c),product(X_66,b))) ),[0],$fot(product(product(product(a,b),X_66),product(product(c,a),b)))]]) ).

cnf(refute_0_5277,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(c,a),b))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(bigC(a,b,c),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_66),product(product(c,a),b)),product(bigC(a,b,c),product(X_66,b))) )],[refute_0_5275,refute_0_5276]) ).

cnf(refute_0_5278,plain,
    product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(bigC(a,b,c),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(product(a,b),X_66),product(product(c,a),b))) )],[refute_0_5274,refute_0_5277]) ).

cnf(refute_0_5279,plain,
    product(X_66,bigC(b,a,bigC(c,a,b))) = product(X_66,bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(X_66,bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_5280,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(X_66,bigC(b,a,bigC(c,a,b))) != product(X_66,bigC(b,a,bigC(c,a,b)))
    | product(X_66,bigC(b,a,bigC(c,a,b))) = product(X_66,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_66,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_5281,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(X_66,bigC(b,a,bigC(c,a,b))) = product(X_66,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,bigC(c,a,b)))) )],[refute_0_5279,refute_0_5280]) ).

cnf(refute_0_5282,plain,
    product(X_66,bigC(b,a,bigC(c,a,b))) = product(X_66,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_5281]) ).

cnf(refute_0_5283,plain,
    product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_5284,plain,
    ( product(X_66,bigC(b,a,bigC(c,a,b))) != product(X_66,bigC(b,a,c))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b))))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(X_66,bigC(b,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b))))) ),[1,1],$fot(product(X_66,bigC(b,a,c)))]]) ).

cnf(refute_0_5285,plain,
    ( product(X_66,bigC(b,a,bigC(c,a,b))) != product(X_66,bigC(b,a,c))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(X_66,bigC(b,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b))))) )],[refute_0_5283,refute_0_5284]) ).

cnf(refute_0_5286,plain,
    product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(X_66,bigC(b,a,c))),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,c))) )],[refute_0_5282,refute_0_5285]) ).

cnf(refute_0_5287,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(bigC(a,b,c),product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(product(a,b),product(X_66,bigC(b,a,c)))
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(bigC(a,b,c),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(bigC(a,b,c),product(X_66,b))) ),[0],$fot(product(product(a,b),product(X_66,bigC(b,a,c))))]]) ).

cnf(refute_0_5288,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))) != product(bigC(a,b,c),product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(bigC(a,b,c),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(X_66,bigC(b,a,c)))) )],[refute_0_5286,refute_0_5287]) ).

cnf(refute_0_5289,plain,
    product(product(a,b),product(X_66,bigC(b,a,c))) = product(bigC(a,b,c),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,bigC(c,a,b)))),product(bigC(a,b,c),product(X_66,b))) )],[refute_0_5278,refute_0_5288]) ).

cnf(refute_0_5290,plain,
    product(bigC(a,b,c),product(X_66,b)) = product(bigC(a,b,c),product(X_66,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),product(X_66,b)))]]) ).

cnf(refute_0_5291,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(X_66,b)) != product(bigC(a,b,c),product(X_66,b))
    | product(bigC(a,b,c),product(X_66,b)) = product(c,product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),product(X_66,b)),product(bigC(a,b,c),product(X_66,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5292,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(X_66,b)) = product(c,product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(X_66,b)),product(bigC(a,b,c),product(X_66,b))) )],[refute_0_5290,refute_0_5291]) ).

cnf(refute_0_5293,plain,
    product(bigC(a,b,c),product(X_66,b)) = product(c,product(X_66,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_5292]) ).

cnf(refute_0_5294,plain,
    ( product(bigC(a,b,c),product(X_66,b)) != product(c,product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,c))) != product(bigC(a,b,c),product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(c,product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(bigC(a,b,c),product(X_66,b))) ),[1],$fot(product(c,product(X_66,b)))]]) ).

cnf(refute_0_5295,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,c))) != product(bigC(a,b,c),product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(c,product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(X_66,b)),product(c,product(X_66,b))) )],[refute_0_5293,refute_0_5294]) ).

cnf(refute_0_5296,plain,
    product(product(a,b),product(X_66,bigC(b,a,c))) = product(c,product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(bigC(a,b,c),product(X_66,b))) )],[refute_0_5289,refute_0_5295]) ).

cnf(refute_0_5297,plain,
    product(X_66,bigC(b,a,c)) = product(X_66,bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(X_66,bigC(b,a,c)))]]) ).

cnf(refute_0_5298,plain,
    ( bigC(b,a,c) != c
    | product(X_66,bigC(b,a,c)) != product(X_66,bigC(b,a,c))
    | product(X_66,bigC(b,a,c)) = product(X_66,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_66,bigC(b,a,c)),product(X_66,bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5299,plain,
    ( bigC(b,a,c) != c
    | product(X_66,bigC(b,a,c)) = product(X_66,c) ),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(b,a,c)),product(X_66,bigC(b,a,c))) )],[refute_0_5297,refute_0_5298]) ).

cnf(refute_0_5300,plain,
    product(X_66,bigC(b,a,c)) = product(X_66,c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_5299]) ).

cnf(refute_0_5301,plain,
    product(product(a,b),product(X_66,bigC(b,a,c))) = product(product(a,b),product(X_66,bigC(b,a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(X_66,bigC(b,a,c))))]]) ).

cnf(refute_0_5302,plain,
    ( product(X_66,bigC(b,a,c)) != product(X_66,c)
    | product(product(a,b),product(X_66,bigC(b,a,c))) != product(product(a,b),product(X_66,bigC(b,a,c)))
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(product(a,b),product(X_66,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(product(a,b),product(X_66,bigC(b,a,c)))) ),[1,1],$fot(product(X_66,c))]]) ).

cnf(refute_0_5303,plain,
    ( product(X_66,bigC(b,a,c)) != product(X_66,c)
    | product(product(a,b),product(X_66,bigC(b,a,c))) = product(product(a,b),product(X_66,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(product(a,b),product(X_66,bigC(b,a,c)))) )],[refute_0_5301,refute_0_5302]) ).

cnf(refute_0_5304,plain,
    product(product(a,b),product(X_66,bigC(b,a,c))) = product(product(a,b),product(X_66,c)),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(b,a,c)),product(X_66,c)) )],[refute_0_5300,refute_0_5303]) ).

cnf(refute_0_5305,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,c))) != product(c,product(X_66,b))
    | product(product(a,b),product(X_66,bigC(b,a,c))) != product(product(a,b),product(X_66,c))
    | product(product(a,b),product(X_66,c)) = product(c,product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(c,product(X_66,b))) ),[0],$fot(product(product(a,b),product(X_66,c)))]]) ).

cnf(refute_0_5306,plain,
    ( product(product(a,b),product(X_66,bigC(b,a,c))) != product(c,product(X_66,b))
    | product(product(a,b),product(X_66,c)) = product(c,product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(product(a,b),product(X_66,c))) )],[refute_0_5304,refute_0_5305]) ).

cnf(refute_0_5307,plain,
    product(product(a,b),product(X_66,c)) = product(c,product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,bigC(b,a,c))),product(c,product(X_66,b))) )],[refute_0_5296,refute_0_5306]) ).

cnf(refute_0_5308,plain,
    product(product(a,b),product(X_97,c)) = product(c,product(X_97,b)),
    inference(subst,[],[refute_0_5307:[bind(X_66,$fot(X_97))]]) ).

cnf(refute_0_5309,plain,
    ( bigC(difference(b,c),b,X_97) != product(product(a,b),product(X_97,c))
    | product(product(a,b),product(X_97,c)) != product(c,product(X_97,b))
    | bigC(difference(b,c),b,X_97) = product(c,product(X_97,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),b,X_97),product(c,product(X_97,b))) ),[0],$fot(product(product(a,b),product(X_97,c)))]]) ).

cnf(refute_0_5310,plain,
    ( bigC(difference(b,c),b,X_97) != product(product(a,b),product(X_97,c))
    | bigC(difference(b,c),b,X_97) = product(c,product(X_97,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_97,c)),product(c,product(X_97,b))) )],[refute_0_5308,refute_0_5309]) ).

cnf(refute_0_5311,plain,
    ( product(product(difference(b,c),X_97),c) != product(product(a,b),product(X_97,c))
    | bigC(difference(b,c),b,X_97) = product(c,product(X_97,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,X_97),product(product(a,b),product(X_97,c))) )],[refute_0_5270,refute_0_5310]) ).

cnf(refute_0_5312,plain,
    bigC(difference(b,c),b,X_97) = product(c,product(X_97,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),c),product(product(a,b),product(X_97,c))) )],[refute_0_5267,refute_0_5311]) ).

cnf(refute_0_5313,plain,
    bigC(difference(b,c),b,B) = product(c,product(B,b)),
    inference(subst,[],[refute_0_5312:[bind(X_97,$fot(B))]]) ).

cnf(refute_0_5314,plain,
    ( bigC(difference(b,c),B,b) != bigC(difference(b,c),b,B)
    | bigC(difference(b,c),b,B) != product(c,product(B,b))
    | bigC(difference(b,c),B,b) = product(c,product(B,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),B,b),product(c,product(B,b))) ),[0],$fot(bigC(difference(b,c),b,B))]]) ).

cnf(refute_0_5315,plain,
    ( bigC(difference(b,c),B,b) != bigC(difference(b,c),b,B)
    | bigC(difference(b,c),B,b) = product(c,product(B,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,B),product(c,product(B,b))) )],[refute_0_5313,refute_0_5314]) ).

cnf(refute_0_5316,plain,
    bigC(difference(b,c),B,b) = product(c,product(B,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),B,b),bigC(difference(b,c),b,B)) )],[refute_0_5238,refute_0_5315]) ).

cnf(refute_0_5317,plain,
    bigC(difference(b,c),X_18,b) = product(c,product(X_18,b)),
    inference(subst,[],[refute_0_5316:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_5318,plain,
    ( bigC(difference(b,c),X_18,b) != product(c,product(X_18,b))
    | difference(product(difference(b,c),X_18),bigC(difference(b,c),X_18,b)) != product(b,difference(b,c))
    | difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = product(b,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),X_18),bigC(difference(b,c),X_18,b)),product(b,difference(b,c))) ),[0,1],$fot(product(c,product(X_18,b)))]]) ).

cnf(refute_0_5319,plain,
    ( difference(product(difference(b,c),X_18),bigC(difference(b,c),X_18,b)) != product(b,difference(b,c))
    | difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = product(b,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),X_18,b),product(c,product(X_18,b))) )],[refute_0_5317,refute_0_5318]) ).

cnf(refute_0_5320,plain,
    difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = product(b,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),X_18),bigC(difference(b,c),X_18,b)),product(b,difference(b,c))) )],[refute_0_5237,refute_0_5319]) ).

cnf(refute_0_5321,plain,
    product(b,difference(b,c)) = c,
    inference(subst,[],[refute_0_3:[bind(A,$fot(b)),bind(B,$fot(c))]]) ).

cnf(refute_0_5322,plain,
    ( difference(product(difference(b,c),X_18),product(c,product(X_18,b))) != product(b,difference(b,c))
    | product(b,difference(b,c)) != c
    | difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(difference(b,c),X_18),product(c,product(X_18,b))),c) ),[0],$fot(product(b,difference(b,c)))]]) ).

cnf(refute_0_5323,plain,
    ( difference(product(difference(b,c),X_18),product(c,product(X_18,b))) != product(b,difference(b,c))
    | difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = c ),
    inference(resolve,[$cnf( $equal(product(b,difference(b,c)),c) )],[refute_0_5321,refute_0_5322]) ).

cnf(refute_0_5324,plain,
    difference(product(difference(b,c),X_18),product(c,product(X_18,b))) = c,
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),X_18),product(c,product(X_18,b))),product(b,difference(b,c))) )],[refute_0_5320,refute_0_5323]) ).

cnf(refute_0_5325,plain,
    difference(product(difference(b,c),a),product(c,product(a,b))) = c,
    inference(subst,[],[refute_0_5324:[bind(X_18,$fot(a))]]) ).

cnf(refute_0_5326,plain,
    ( difference(product(difference(b,c),a),product(c,product(a,b))) != c
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(difference(b,c),a),product(a,product(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),a),product(c,product(a,b))),c) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5327,plain,
    ( difference(product(difference(b,c),a),product(c,product(a,b))) != c
    | difference(product(difference(b,c),a),product(a,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_5326]) ).

cnf(refute_0_5328,plain,
    difference(product(difference(b,c),a),product(a,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),a),product(c,product(a,b))),c) )],[refute_0_5325,refute_0_5327]) ).

cnf(refute_0_5329,plain,
    ( difference(product(difference(b,c),a),product(a,product(b,c))) != c
    | quotient(product(a,product(b,c)),difference(product(difference(b,c),a),product(a,product(b,c)))) != product(difference(b,c),a)
    | quotient(product(a,product(b,c)),c) = product(difference(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(difference(b,c),a),product(a,product(b,c)))),product(difference(b,c),a)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_5330,plain,
    ( quotient(product(a,product(b,c)),difference(product(difference(b,c),a),product(a,product(b,c)))) != product(difference(b,c),a)
    | quotient(product(a,product(b,c)),c) = product(difference(b,c),a) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),a),product(a,product(b,c))),c) )],[refute_0_5328,refute_0_5329]) ).

cnf(refute_0_5331,plain,
    quotient(product(a,product(b,c)),c) = product(difference(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(difference(b,c),a),product(a,product(b,c)))),product(difference(b,c),a)) )],[refute_0_5236,refute_0_5330]) ).

cnf(refute_0_5332,plain,
    quotient(product(product(a,c),bigC(c,a,b)),bigC(c,a,b)) = product(a,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,c))),bind(B,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_5333,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | quotient(product(product(a,c),bigC(c,a,b)),bigC(c,a,b)) != product(a,c)
    | quotient(product(a,product(b,c)),bigC(c,a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),bigC(c,a,b)),bigC(c,a,b)),product(a,c)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5334,plain,
    ( quotient(product(product(a,c),bigC(c,a,b)),bigC(c,a,b)) != product(a,c)
    | quotient(product(a,product(b,c)),bigC(c,a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_5333]) ).

cnf(refute_0_5335,plain,
    quotient(product(a,product(b,c)),bigC(c,a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),bigC(c,a,b)),bigC(c,a,b)),product(a,c)) )],[refute_0_5332,refute_0_5334]) ).

cnf(refute_0_5336,plain,
    quotient(product(a,product(b,c)),bigC(c,a,b)) = quotient(product(a,product(b,c)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),bigC(c,a,b)))]]) ).

cnf(refute_0_5337,plain,
    ( bigC(c,a,b) != c
    | quotient(product(a,product(b,c)),bigC(c,a,b)) != quotient(product(a,product(b,c)),bigC(c,a,b))
    | quotient(product(a,product(b,c)),bigC(c,a,b)) = quotient(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,b)),quotient(product(a,product(b,c)),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5338,plain,
    ( bigC(c,a,b) != c
    | quotient(product(a,product(b,c)),bigC(c,a,b)) = quotient(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,b)),quotient(product(a,product(b,c)),bigC(c,a,b))) )],[refute_0_5336,refute_0_5337]) ).

cnf(refute_0_5339,plain,
    quotient(product(a,product(b,c)),bigC(c,a,b)) = quotient(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_5338]) ).

cnf(refute_0_5340,plain,
    ( quotient(product(a,product(b,c)),bigC(c,a,b)) != product(a,c)
    | quotient(product(a,product(b,c)),bigC(c,a,b)) != quotient(product(a,product(b,c)),c)
    | quotient(product(a,product(b,c)),c) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,b)),product(a,c)) ),[0],$fot(quotient(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5341,plain,
    ( quotient(product(a,product(b,c)),bigC(c,a,b)) != product(a,c)
    | quotient(product(a,product(b,c)),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,b)),quotient(product(a,product(b,c)),c)) )],[refute_0_5339,refute_0_5340]) ).

cnf(refute_0_5342,plain,
    quotient(product(a,product(b,c)),c) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,b)),product(a,c)) )],[refute_0_5335,refute_0_5341]) ).

cnf(refute_0_5343,plain,
    ( quotient(product(a,product(b,c)),c) != product(a,c)
    | quotient(product(a,product(b,c)),c) != product(difference(b,c),a)
    | product(a,c) = product(difference(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),c),product(difference(b,c),a)) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_5344,plain,
    ( quotient(product(a,product(b,c)),c) != product(difference(b,c),a)
    | product(a,c) = product(difference(b,c),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),c),product(a,c)) )],[refute_0_5342,refute_0_5343]) ).

cnf(refute_0_5345,plain,
    product(a,c) = product(difference(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),c),product(difference(b,c),a)) )],[refute_0_5331,refute_0_5344]) ).

cnf(refute_0_5346,plain,
    ( product(a,c) != product(difference(b,c),a)
    | product(difference(b,c),a) = product(a,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(difference(b,c),a)))]]) ).

cnf(refute_0_5347,plain,
    product(difference(b,c),a) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(difference(b,c),a)) )],[refute_0_5345,refute_0_5346]) ).

cnf(refute_0_5348,plain,
    ( product(difference(b,c),a) != product(a,c)
    | quotient(product(difference(b,c),a),difference(b,c)) != product(difference(b,c),quotient(a,difference(b,c)))
    | quotient(product(a,c),difference(b,c)) = product(difference(b,c),quotient(a,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(b,c),a),difference(b,c)),product(difference(b,c),quotient(a,difference(b,c)))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_5349,plain,
    ( quotient(product(difference(b,c),a),difference(b,c)) != product(difference(b,c),quotient(a,difference(b,c)))
    | quotient(product(a,c),difference(b,c)) = product(difference(b,c),quotient(a,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_5347,refute_0_5348]) ).

cnf(refute_0_5350,plain,
    quotient(product(a,c),difference(b,c)) = product(difference(b,c),quotient(a,difference(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,c),a),difference(b,c)),product(difference(b,c),quotient(a,difference(b,c)))) )],[refute_0_5235,refute_0_5349]) ).

cnf(refute_0_5351,plain,
    quotient(product(c,difference(b,c)),difference(b,c)) = c,
    inference(subst,[],[refute_0_58:[bind(A,$fot(c)),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_5352,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | quotient(product(c,difference(b,c)),difference(b,c)) != c
    | quotient(product(a,c),difference(b,c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,difference(b,c)),difference(b,c)),c) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_5353,plain,
    ( quotient(product(c,difference(b,c)),difference(b,c)) != c
    | quotient(product(a,c),difference(b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5352]) ).

cnf(refute_0_5354,plain,
    quotient(product(a,c),difference(b,c)) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,difference(b,c)),difference(b,c)),c) )],[refute_0_5351,refute_0_5353]) ).

cnf(refute_0_5355,plain,
    ( quotient(product(a,c),difference(b,c)) != c
    | quotient(product(a,c),difference(b,c)) != product(difference(b,c),quotient(a,difference(b,c)))
    | c = product(difference(b,c),quotient(a,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),difference(b,c)),product(difference(b,c),quotient(a,difference(b,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_5356,plain,
    ( quotient(product(a,c),difference(b,c)) != product(difference(b,c),quotient(a,difference(b,c)))
    | c = product(difference(b,c),quotient(a,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),difference(b,c)),c) )],[refute_0_5354,refute_0_5355]) ).

cnf(refute_0_5357,plain,
    c = product(difference(b,c),quotient(a,difference(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),difference(b,c)),product(difference(b,c),quotient(a,difference(b,c)))) )],[refute_0_5350,refute_0_5356]) ).

cnf(refute_0_5358,plain,
    ( c != product(difference(b,c),quotient(a,difference(b,c)))
    | product(difference(b,c),quotient(a,difference(b,c))) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(difference(b,c),quotient(a,difference(b,c)))))]]) ).

cnf(refute_0_5359,plain,
    product(difference(b,c),quotient(a,difference(b,c))) = c,
    inference(resolve,[$cnf( $equal(c,product(difference(b,c),quotient(a,difference(b,c)))) )],[refute_0_5357,refute_0_5358]) ).

cnf(refute_0_5360,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(product(difference(b,c),quotient(a,difference(b,c))),product(C,difference(b,c)))
    | product(difference(b,c),quotient(a,difference(b,c))) != c
    | bigC(difference(b,c),quotient(a,difference(b,c)),C) = product(c,product(C,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),product(product(difference(b,c),quotient(a,difference(b,c))),product(C,difference(b,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5361,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(product(difference(b,c),quotient(a,difference(b,c))),product(C,difference(b,c)))
    | bigC(difference(b,c),quotient(a,difference(b,c)),C) = product(c,product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),quotient(a,difference(b,c))),c) )],[refute_0_5359,refute_0_5360]) ).

cnf(refute_0_5362,plain,
    bigC(difference(b,c),quotient(a,difference(b,c)),C) = product(c,product(C,difference(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),product(product(difference(b,c),quotient(a,difference(b,c))),product(C,difference(b,c)))) )],[refute_0_5234,refute_0_5361]) ).

cnf(refute_0_5363,plain,
    product(product(difference(b,c),X_24),a) = product(product(difference(b,c),a),product(X_24,a)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(difference(b,c))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_5364,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),X_24),a) != product(product(difference(b,c),a),product(X_24,a))
    | product(product(difference(b,c),X_24),a) = product(product(a,c),product(X_24,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_24),a),product(product(difference(b,c),a),product(X_24,a))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_5365,plain,
    ( product(product(difference(b,c),X_24),a) != product(product(difference(b,c),a),product(X_24,a))
    | product(product(difference(b,c),X_24),a) = product(product(a,c),product(X_24,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_5347,refute_0_5364]) ).

cnf(refute_0_5366,plain,
    product(product(difference(b,c),X_24),a) = product(product(a,c),product(X_24,a)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_24),a),product(product(difference(b,c),a),product(X_24,a))) )],[refute_0_5363,refute_0_5365]) ).

cnf(refute_0_5367,plain,
    product(product(a,c),product(X_24,a)) = bigC(a,c,X_24),
    inference(subst,[],[refute_0_117:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(X_24))]]) ).

cnf(refute_0_5368,plain,
    ( product(product(a,c),product(X_24,a)) != bigC(a,c,X_24)
    | product(product(difference(b,c),X_24),a) != product(product(a,c),product(X_24,a))
    | product(product(difference(b,c),X_24),a) = bigC(a,c,X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_24),a),product(product(a,c),product(X_24,a))) ),[1],$fot(bigC(a,c,X_24))]]) ).

cnf(refute_0_5369,plain,
    ( product(product(difference(b,c),X_24),a) != product(product(a,c),product(X_24,a))
    | product(product(difference(b,c),X_24),a) = bigC(a,c,X_24) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_24,a)),bigC(a,c,X_24)) )],[refute_0_5367,refute_0_5368]) ).

cnf(refute_0_5370,plain,
    product(product(difference(b,c),X_24),a) = bigC(a,c,X_24),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_24),a),product(product(a,c),product(X_24,a))) )],[refute_0_5366,refute_0_5369]) ).

cnf(refute_0_5371,plain,
    product(product(difference(b,c),C),a) = bigC(a,c,C),
    inference(subst,[],[refute_0_5370:[bind(X_24,$fot(C))]]) ).

cnf(refute_0_5372,plain,
    bigC(difference(b,c),quotient(a,difference(b,c)),C) = product(product(difference(b,c),C),a),
    inference(subst,[],[refute_0_356:[bind(A,$fot(difference(b,c))),bind(X_44,$fot(a))]]) ).

cnf(refute_0_5373,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(product(difference(b,c),C),a)
    | product(product(difference(b,c),C),a) != bigC(a,c,C)
    | bigC(difference(b,c),quotient(a,difference(b,c)),C) = bigC(a,c,C) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(b,c),quotient(a,difference(b,c)),C))),bind(Y,$fot(product(product(difference(b,c),C),a))),bind(Z,$fot(bigC(a,c,C)))]]) ).

cnf(refute_0_5374,plain,
    ( product(product(difference(b,c),C),a) != bigC(a,c,C)
    | bigC(difference(b,c),quotient(a,difference(b,c)),C) = bigC(a,c,C) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),product(product(difference(b,c),C),a)) )],[refute_0_5372,refute_0_5373]) ).

cnf(refute_0_5375,plain,
    bigC(difference(b,c),quotient(a,difference(b,c)),C) = bigC(a,c,C),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),C),a),bigC(a,c,C)) )],[refute_0_5371,refute_0_5374]) ).

cnf(refute_0_5376,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != bigC(a,c,C)
    | bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(c,product(C,difference(b,c)))
    | bigC(a,c,C) = product(c,product(C,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),product(c,product(C,difference(b,c)))) ),[0],$fot(bigC(a,c,C))]]) ).

cnf(refute_0_5377,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(c,product(C,difference(b,c)))
    | bigC(a,c,C) = product(c,product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),bigC(a,c,C)) )],[refute_0_5375,refute_0_5376]) ).

cnf(refute_0_5378,plain,
    product(c,product(X_25,difference(b,c))) = product(product(c,X_25),product(c,difference(b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(difference(b,c)))]]) ).

cnf(refute_0_5379,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | product(c,product(X_25,difference(b,c))) != product(product(c,X_25),product(c,difference(b,c)))
    | product(c,product(X_25,difference(b,c))) = product(product(c,X_25),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,difference(b,c))),product(product(c,X_25),product(c,difference(b,c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_5380,plain,
    ( product(c,product(X_25,difference(b,c))) != product(product(c,X_25),product(c,difference(b,c)))
    | product(c,product(X_25,difference(b,c))) = product(product(c,X_25),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5379]) ).

cnf(refute_0_5381,plain,
    product(c,product(X_25,difference(b,c))) = product(product(c,X_25),product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,difference(b,c))),product(product(c,X_25),product(c,difference(b,c)))) )],[refute_0_5378,refute_0_5380]) ).

cnf(refute_0_5382,plain,
    product(product(c,X_25),product(a,c)) = bigC(c,X_25,a),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(X_25)),bind(C,$fot(a))]]) ).

cnf(refute_0_5383,plain,
    ( product(c,product(X_25,difference(b,c))) != product(product(c,X_25),product(a,c))
    | product(product(c,X_25),product(a,c)) != bigC(c,X_25,a)
    | product(c,product(X_25,difference(b,c))) = bigC(c,X_25,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,difference(b,c))),bigC(c,X_25,a)) ),[0],$fot(product(product(c,X_25),product(a,c)))]]) ).

cnf(refute_0_5384,plain,
    ( product(c,product(X_25,difference(b,c))) != product(product(c,X_25),product(a,c))
    | product(c,product(X_25,difference(b,c))) = bigC(c,X_25,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(a,c)),bigC(c,X_25,a)) )],[refute_0_5382,refute_0_5383]) ).

cnf(refute_0_5385,plain,
    product(c,product(X_25,difference(b,c))) = bigC(c,X_25,a),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,difference(b,c))),product(product(c,X_25),product(a,c))) )],[refute_0_5381,refute_0_5384]) ).

cnf(refute_0_5386,plain,
    product(c,product(C,difference(b,c))) = bigC(c,C,a),
    inference(subst,[],[refute_0_5385:[bind(X_25,$fot(C))]]) ).

cnf(refute_0_5387,plain,
    ( bigC(a,c,C) != product(c,product(C,difference(b,c)))
    | product(c,product(C,difference(b,c))) != bigC(c,C,a)
    | bigC(a,c,C) = bigC(c,C,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,C),bigC(c,C,a)) ),[0],$fot(product(c,product(C,difference(b,c))))]]) ).

cnf(refute_0_5388,plain,
    ( bigC(a,c,C) != product(c,product(C,difference(b,c)))
    | bigC(a,c,C) = bigC(c,C,a) ),
    inference(resolve,[$cnf( $equal(product(c,product(C,difference(b,c))),bigC(c,C,a)) )],[refute_0_5386,refute_0_5387]) ).

cnf(refute_0_5389,plain,
    ( bigC(difference(b,c),quotient(a,difference(b,c)),C) != product(c,product(C,difference(b,c)))
    | bigC(a,c,C) = bigC(c,C,a) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,C),product(c,product(C,difference(b,c)))) )],[refute_0_5377,refute_0_5388]) ).

cnf(refute_0_5390,plain,
    bigC(a,c,C) = bigC(c,C,a),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,difference(b,c)),C),product(c,product(C,difference(b,c)))) )],[refute_0_5362,refute_0_5389]) ).

cnf(refute_0_5391,plain,
    ( bigC(a,c,C) != bigC(c,C,a)
    | bigC(c,C,a) = bigC(a,c,C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,c,C))),bind(Y,$fot(bigC(c,C,a)))]]) ).

cnf(refute_0_5392,plain,
    bigC(c,C,a) = bigC(a,c,C),
    inference(resolve,[$cnf( $equal(bigC(a,c,C),bigC(c,C,a)) )],[refute_0_5390,refute_0_5391]) ).

cnf(refute_0_5393,plain,
    bigC(c,B,a) = bigC(a,c,B),
    inference(subst,[],[refute_0_5392:[bind(C,$fot(B))]]) ).

cnf(refute_0_5394,plain,
    product(product(a,b),bigC(c,B,a)) = product(product(a,b),bigC(c,B,a)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,B,a)))]]) ).

cnf(refute_0_5395,plain,
    ( bigC(c,B,a) != bigC(a,c,B)
    | product(product(a,b),bigC(c,B,a)) != product(product(a,b),bigC(c,B,a))
    | product(product(a,b),bigC(c,B,a)) = product(product(a,b),bigC(a,c,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,B,a)),product(product(a,b),bigC(c,B,a))) ),[1,1],$fot(bigC(a,c,B))]]) ).

cnf(refute_0_5396,plain,
    ( bigC(c,B,a) != bigC(a,c,B)
    | product(product(a,b),bigC(c,B,a)) = product(product(a,b),bigC(a,c,B)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,B,a)),product(product(a,b),bigC(c,B,a))) )],[refute_0_5394,refute_0_5395]) ).

cnf(refute_0_5397,plain,
    product(product(a,b),bigC(c,B,a)) = product(product(a,b),bigC(a,c,B)),
    inference(resolve,[$cnf( $equal(bigC(c,B,a),bigC(a,c,B)) )],[refute_0_5393,refute_0_5396]) ).

cnf(refute_0_5398,plain,
    ( bigC(c,product(a,b),product(c,B)) != product(product(a,b),bigC(c,B,a))
    | product(product(a,b),bigC(c,B,a)) != product(product(a,b),bigC(a,c,B))
    | bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(a,c,B)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,b),product(c,B)),product(product(a,b),bigC(a,c,B))) ),[0],$fot(product(product(a,b),bigC(c,B,a)))]]) ).

cnf(refute_0_5399,plain,
    ( bigC(c,product(a,b),product(c,B)) != product(product(a,b),bigC(c,B,a))
    | bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(a,c,B)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,B,a)),product(product(a,b),bigC(a,c,B))) )],[refute_0_5397,refute_0_5398]) ).

cnf(refute_0_5400,plain,
    bigC(c,product(a,b),product(c,B)) = product(product(a,b),bigC(a,c,B)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,B)),product(product(a,b),bigC(c,B,a))) )],[refute_0_5233,refute_0_5399]) ).

cnf(refute_0_5401,plain,
    bigC(c,product(a,b),product(c,b)) = product(product(a,b),bigC(a,c,b)),
    inference(subst,[],[refute_0_5400:[bind(B,$fot(b))]]) ).

cnf(refute_0_5402,plain,
    ( bigC(c,product(a,b),product(c,b)) != product(product(a,b),bigC(a,c,b))
    | product(product(a,b),bigC(a,c,b)) != product(c,product(c,b))
    | bigC(c,product(a,b),product(c,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,b),product(c,b)))),bind(Y,$fot(product(product(a,b),bigC(a,c,b)))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_5403,plain,
    ( product(product(a,b),bigC(a,c,b)) != product(c,product(c,b))
    | bigC(c,product(a,b),product(c,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,b)),product(product(a,b),bigC(a,c,b))) )],[refute_0_5401,refute_0_5402]) ).

cnf(refute_0_5404,plain,
    bigC(c,product(a,b),product(c,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,c,b)),product(c,product(c,b))) )],[refute_0_5113,refute_0_5403]) ).

cnf(refute_0_5405,plain,
    product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(product(a,b),bigC(c,product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,product(a,b),product(c,b))))]]) ).

cnf(refute_0_5406,plain,
    ( bigC(c,product(a,b),product(c,b)) != product(c,product(c,b))
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,product(a,b),product(c,b))),product(product(a,b),bigC(c,product(a,b),product(c,b)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5407,plain,
    ( bigC(c,product(a,b),product(c,b)) != product(c,product(c,b))
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,product(a,b),product(c,b))),product(product(a,b),bigC(c,product(a,b),product(c,b)))) )],[refute_0_5405,refute_0_5406]) ).

cnf(refute_0_5408,plain,
    product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,b)),product(c,product(c,b))) )],[refute_0_5404,refute_0_5407]) ).

cnf(refute_0_5409,plain,
    ( product(product(a,b),bigC(c,product(a,b),product(c,b))) != product(product(a,b),product(c,product(c,b)))
    | product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),bigC(c,product(a,b),product(c,b))))),bind(Y,$fot(product(product(a,b),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5410,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,product(a,b),product(c,b))),product(product(a,b),product(c,product(c,b)))) )],[refute_0_5408,refute_0_5409]) ).

cnf(refute_0_5411,plain,
    product(product(a,b),bigC(c,product(a,b),product(c,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_5102,refute_0_5410]) ).

cnf(refute_0_5412,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(product(a,b),bigC(c,product(a,b),product(c,b))) != 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( ~ $equal(product(bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,b),bigC(c,product(a,b),product(c,b))))]]) ).

cnf(refute_0_5413,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,product(a,b),product(c,b))),product(bigC(a,a,c),b)) )],[refute_0_5411,refute_0_5412]) ).

cnf(refute_0_5414,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))) != product(product(a,b),bigC(c,product(a,b),product(c,b)))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),b)),product(product(a,b),bigC(c,product(a,b),product(c,b)))) )],[refute_0_5064,refute_0_5413]) ).

cnf(refute_0_5415,plain,
    product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),product(b,c))),product(product(a,b),bigC(c,product(a,b),product(c,b)))) )],[refute_0_4100,refute_0_5414]) ).

cnf(refute_0_5416,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,c),b)
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b))))) != bigC(a,a,b)
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b))))),bigC(a,a,b)) ),[0,1,1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_5417,plain,
    ( product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b))))) != bigC(a,a,b)
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),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_5415,refute_0_5416]) ).

cnf(refute_0_5418,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b))))),bigC(a,a,b)) )],[refute_0_4080,refute_0_5417]) ).

cnf(refute_0_5419,plain,
    product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(b,a,product(c,product(c,b))))),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_5420,plain,
    bigC(b,product(a,product(b,c)),a) = bigC(b,a,product(a,product(b,c))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_5421,plain,
    bigC(b,product(a,product(b,c)),C) = product(product(b,product(a,product(b,c))),product(C,b)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(b)),bind(B,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_5422,plain,
    quotient(product(b,c),difference(product(bigC(b,b,c),c),product(b,c))) = product(bigC(b,b,c),c),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(bigC(b,b,c),c))),bind(X_8,$fot(product(b,c)))]]) ).

cnf(refute_0_5423,plain,
    difference(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(b,c)) = product(product(b,c),difference(bigC(c,b,c),product(b,c))),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(product(b,c),difference(bigC(c,b,c),product(b,c))))),bind(X_11,$fot(product(b,c)))]]) ).

cnf(refute_0_5424,plain,
    quotient(product(b,c),product(product(b,c),product(product(b,c),product(product(b,c),product(c,a))))) = product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(product(product(b,c),product(c,a)))),bind(X_16,$fot(product(b,c)))]]) ).

cnf(refute_0_5425,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_294:[bind(A,$fot(c)),bind(X_30,$fot(product(b,c)))]]) ).

cnf(refute_0_5426,plain,
    quotient(c,difference(product(c,a),c)) = product(c,a),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(c,a))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_5427,plain,
    ( difference(product(c,a),c) != product(b,c)
    | quotient(c,difference(product(c,a),c)) != product(c,a)
    | quotient(c,product(b,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(c,a),c)),product(c,a)) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_5428,plain,
    ( quotient(c,difference(product(c,a),c)) != product(c,a)
    | quotient(c,product(b,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_775,refute_0_5427]) ).

cnf(refute_0_5429,plain,
    quotient(c,product(b,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(c,a),c)),product(c,a)) )],[refute_0_5426,refute_0_5428]) ).

cnf(refute_0_5430,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_5431,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_5429,refute_0_5430]) ).

cnf(refute_0_5432,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_5425,refute_0_5431]) ).

cnf(refute_0_5433,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_5434,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_5435,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_5433,refute_0_5434]) ).

cnf(refute_0_5436,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_651,refute_0_5435]) ).

cnf(refute_0_5437,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_5438,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_5436,refute_0_5437]) ).

cnf(refute_0_5439,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_5432,refute_0_5438]) ).

cnf(refute_0_5440,plain,
    ( difference(bigC(c,b,c),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))) = difference(bigC(c,b,c),product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,b,c),product(b,c)))),bind(Y,$fot(product(product(b,c),product(product(b,c),product(c,a)))))]]) ).

cnf(refute_0_5441,plain,
    product(product(b,c),product(product(b,c),product(c,a))) = difference(bigC(c,b,c),product(b,c)),
    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_5439,refute_0_5440]) ).

cnf(refute_0_5442,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(product(b,c),product(product(b,c),product(c,a))))) != product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(b,c),product(product(b,c),product(c,a))))),product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))) ),[0,1,1],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_5443,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(b,c),product(product(b,c),product(c,a))))) != product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_5442]) ).

cnf(refute_0_5444,plain,
    quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(product(product(product(b,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),product(product(b,c),product(c,a))))),product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))) )],[refute_0_5424,refute_0_5443]) ).

cnf(refute_0_5445,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_5446,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_5447,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_5445,refute_0_5446]) ).

cnf(refute_0_5448,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_219,refute_0_5447]) ).

cnf(refute_0_5449,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_5450,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_5451,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_5449,refute_0_5450]) ).

cnf(refute_0_5452,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_1082,refute_0_5451]) ).

cnf(refute_0_5453,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_32:[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_5454,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_5452,refute_0_5453]) ).

cnf(refute_0_5455,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_5448,refute_0_5454]) ).

cnf(refute_0_5456,plain,
    product(product(product(b,c),c),product(b,c)) = product(bigC(b,c,b),product(c,c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_5457,plain,
    ( product(bigC(b,c,b),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(product(b,c),c),product(b,c)) != product(bigC(b,c,b),product(c,c))
    | product(product(product(b,c),c),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),c),product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),product(c,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_5458,plain,
    ( product(bigC(b,c,b),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(product(b,c),c),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(b,c)),product(bigC(b,c,b),product(c,c))) )],[refute_0_5456,refute_0_5457]) ).

cnf(refute_0_5459,plain,
    product(product(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_5455,refute_0_5458]) ).

cnf(refute_0_5460,plain,
    product(b,product(c,c)) = product(b,product(c,c)),
    introduced(tautology,[refl,[$fot(product(b,product(c,c)))]]) ).

cnf(refute_0_5461,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_5462,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_5460,refute_0_5461]) ).

cnf(refute_0_5463,plain,
    product(b,product(c,c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_5462]) ).

cnf(refute_0_5464,plain,
    product(product(b,b),product(c,c)) = product(product(b,b),product(c,c)),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(c,c)))]]) ).

cnf(refute_0_5465,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,c)) != product(product(b,b),product(c,c))
    | product(product(b,b),product(c,c)) = product(b,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(c,c)),product(product(b,b),product(c,c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_5466,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,c)) = product(b,product(c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,c)),product(product(b,b),product(c,c))) )],[refute_0_5464,refute_0_5465]) ).

cnf(refute_0_5467,plain,
    product(product(b,b),product(c,c)) = product(b,product(c,c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_5466]) ).

cnf(refute_0_5468,plain,
    ( product(b,product(c,c)) != product(b,c)
    | product(product(b,b),product(c,c)) != product(b,product(c,c))
    | product(product(b,b),product(c,c)) = product(b,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,b),product(c,c)))),bind(Y,$fot(product(b,product(c,c)))),bind(Z,$fot(product(b,c)))]]) ).

cnf(refute_0_5469,plain,
    ( product(b,product(c,c)) != product(b,c)
    | product(product(b,b),product(c,c)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,c)),product(b,product(c,c))) )],[refute_0_5467,refute_0_5468]) ).

cnf(refute_0_5470,plain,
    product(product(b,b),product(c,c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,product(c,c)),product(b,c)) )],[refute_0_5463,refute_0_5469]) ).

cnf(refute_0_5471,plain,
    product(product(product(b,b),product(c,c)),c) = product(product(product(b,b),product(c,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,b),product(c,c)),c))]]) ).

cnf(refute_0_5472,plain,
    ( product(product(b,b),product(c,c)) != product(b,c)
    | product(product(product(b,b),product(c,c)),c) != product(product(product(b,b),product(c,c)),c)
    | product(product(product(b,b),product(c,c)),c) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,b),product(c,c)),c),product(product(product(b,b),product(c,c)),c)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_5473,plain,
    ( product(product(b,b),product(c,c)) != product(b,c)
    | product(product(product(b,b),product(c,c)),c) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(c,c)),c),product(product(product(b,b),product(c,c)),c)) )],[refute_0_5471,refute_0_5472]) ).

cnf(refute_0_5474,plain,
    product(product(product(b,b),product(c,c)),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,c)),product(b,c)) )],[refute_0_5470,refute_0_5473]) ).

cnf(refute_0_5475,plain,
    product(product(product(b,c),product(b,c)),c) = product(product(product(b,b),product(c,c)),c),
    inference(subst,[],[refute_0_347:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(c)),bind(X_44,$fot(c))]]) ).

cnf(refute_0_5476,plain,
    bigC(difference(product(c,a),c),X_18,product(c,a)) = product(product(difference(product(c,a),c),X_18),c),
    inference(subst,[],[refute_0_7:[bind(B,$fot(c)),bind(X_19,$fot(product(c,a)))]]) ).

cnf(refute_0_5477,plain,
    ( bigC(difference(product(c,a),c),X_18,product(c,a)) != product(product(difference(product(c,a),c),X_18),c)
    | difference(product(c,a),c) != product(b,c)
    | bigC(product(b,c),X_18,product(c,a)) = product(product(difference(product(c,a),c),X_18),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),c),X_18,product(c,a)),product(product(difference(product(c,a),c),X_18),c)) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_5478,plain,
    ( bigC(difference(product(c,a),c),X_18,product(c,a)) != product(product(difference(product(c,a),c),X_18),c)
    | bigC(product(b,c),X_18,product(c,a)) = product(product(difference(product(c,a),c),X_18),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_775,refute_0_5477]) ).

cnf(refute_0_5479,plain,
    bigC(product(b,c),X_18,product(c,a)) = product(product(difference(product(c,a),c),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),c),X_18,product(c,a)),product(product(difference(product(c,a),c),X_18),c)) )],[refute_0_5476,refute_0_5478]) ).

cnf(refute_0_5480,plain,
    product(difference(product(c,a),c),X_18) = product(difference(product(c,a),c),X_18),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),c),X_18))]]) ).

cnf(refute_0_5481,plain,
    ( difference(product(c,a),c) != product(b,c)
    | product(difference(product(c,a),c),X_18) != product(difference(product(c,a),c),X_18)
    | product(difference(product(c,a),c),X_18) = product(product(b,c),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),c),X_18),product(difference(product(c,a),c),X_18)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_5482,plain,
    ( difference(product(c,a),c) != product(b,c)
    | product(difference(product(c,a),c),X_18) = product(product(b,c),X_18) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),c),X_18),product(difference(product(c,a),c),X_18)) )],[refute_0_5480,refute_0_5481]) ).

cnf(refute_0_5483,plain,
    product(difference(product(c,a),c),X_18) = product(product(b,c),X_18),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_775,refute_0_5482]) ).

cnf(refute_0_5484,plain,
    product(product(difference(product(c,a),c),X_18),c) = product(product(difference(product(c,a),c),X_18),c),
    introduced(tautology,[refl,[$fot(product(product(difference(product(c,a),c),X_18),c))]]) ).

cnf(refute_0_5485,plain,
    ( product(difference(product(c,a),c),X_18) != product(product(b,c),X_18)
    | product(product(difference(product(c,a),c),X_18),c) != product(product(difference(product(c,a),c),X_18),c)
    | product(product(difference(product(c,a),c),X_18),c) = product(product(product(b,c),X_18),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(c,a),c),X_18),c),product(product(difference(product(c,a),c),X_18),c)) ),[1,0],$fot(product(product(b,c),X_18))]]) ).

cnf(refute_0_5486,plain,
    ( product(difference(product(c,a),c),X_18) != product(product(b,c),X_18)
    | product(product(difference(product(c,a),c),X_18),c) = product(product(product(b,c),X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),c),X_18),c),product(product(difference(product(c,a),c),X_18),c)) )],[refute_0_5484,refute_0_5485]) ).

cnf(refute_0_5487,plain,
    product(product(difference(product(c,a),c),X_18),c) = product(product(product(b,c),X_18),c),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),c),X_18),product(product(b,c),X_18)) )],[refute_0_5483,refute_0_5486]) ).

cnf(refute_0_5488,plain,
    ( bigC(product(b,c),X_18,product(c,a)) != product(product(difference(product(c,a),c),X_18),c)
    | product(product(difference(product(c,a),c),X_18),c) != product(product(product(b,c),X_18),c)
    | bigC(product(b,c),X_18,product(c,a)) = product(product(product(b,c),X_18),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),X_18,product(c,a)),product(product(product(b,c),X_18),c)) ),[0],$fot(product(product(difference(product(c,a),c),X_18),c))]]) ).

cnf(refute_0_5489,plain,
    ( bigC(product(b,c),X_18,product(c,a)) != product(product(difference(product(c,a),c),X_18),c)
    | bigC(product(b,c),X_18,product(c,a)) = product(product(product(b,c),X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),c),X_18),c),product(product(product(b,c),X_18),c)) )],[refute_0_5487,refute_0_5488]) ).

cnf(refute_0_5490,plain,
    bigC(product(b,c),X_18,product(c,a)) = product(product(product(b,c),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,product(c,a)),product(product(difference(product(c,a),c),X_18),c)) )],[refute_0_5479,refute_0_5489]) ).

cnf(refute_0_5491,plain,
    bigC(product(b,c),product(b,c),product(c,a)) = product(product(product(b,c),product(b,c)),c),
    inference(subst,[],[refute_0_5490:[bind(X_18,$fot(product(b,c)))]]) ).

cnf(refute_0_5492,plain,
    ( bigC(product(b,c),product(b,c),product(c,a)) != product(product(product(b,c),product(b,c)),c)
    | product(product(product(b,c),product(b,c)),c) != product(product(product(b,b),product(c,c)),c)
    | bigC(product(b,c),product(b,c),product(c,a)) = product(product(product(b,b),product(c,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(b,c),product(c,a)))),bind(Y,$fot(product(product(product(b,c),product(b,c)),c))),bind(Z,$fot(product(product(product(b,b),product(c,c)),c)))]]) ).

cnf(refute_0_5493,plain,
    ( product(product(product(b,c),product(b,c)),c) != product(product(product(b,b),product(c,c)),c)
    | bigC(product(b,c),product(b,c),product(c,a)) = product(product(product(b,b),product(c,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(c,a)),product(product(product(b,c),product(b,c)),c)) )],[refute_0_5491,refute_0_5492]) ).

cnf(refute_0_5494,plain,
    bigC(product(b,c),product(b,c),product(c,a)) = product(product(product(b,b),product(c,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(b,c)),c),product(product(product(b,b),product(c,c)),c)) )],[refute_0_5475,refute_0_5493]) ).

cnf(refute_0_5495,plain,
    bigC(product(b,c),product(c,a),product(b,c)) = bigC(product(b,c),product(b,c),product(c,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(b,c))),bind(B,$fot(product(b,c))),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_5496,plain,
    ( bigC(product(b,c),product(b,c),product(c,a)) != product(product(product(b,b),product(c,c)),c)
    | bigC(product(b,c),product(c,a),product(b,c)) != bigC(product(b,c),product(b,c),product(c,a))
    | bigC(product(b,c),product(c,a),product(b,c)) = product(product(product(b,b),product(c,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(c,a),product(b,c)))),bind(Y,$fot(bigC(product(b,c),product(b,c),product(c,a)))),bind(Z,$fot(product(product(product(b,b),product(c,c)),c)))]]) ).

cnf(refute_0_5497,plain,
    ( bigC(product(b,c),product(b,c),product(c,a)) != product(product(product(b,b),product(c,c)),c)
    | bigC(product(b,c),product(c,a),product(b,c)) = product(product(product(b,b),product(c,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(b,c)),bigC(product(b,c),product(b,c),product(c,a))) )],[refute_0_5495,refute_0_5496]) ).

cnf(refute_0_5498,plain,
    bigC(product(b,c),product(c,a),product(b,c)) = product(product(product(b,b),product(c,c)),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(c,a)),product(product(product(b,b),product(c,c)),c)) )],[refute_0_5494,refute_0_5497]) ).

cnf(refute_0_5499,plain,
    ( bigC(product(b,c),product(c,a),product(b,c)) != product(product(product(b,b),product(c,c)),c)
    | product(product(product(b,b),product(c,c)),c) != product(product(b,c),c)
    | bigC(product(b,c),product(c,a),product(b,c)) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(c,a),product(b,c)))),bind(Y,$fot(product(product(product(b,b),product(c,c)),c))),bind(Z,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_5500,plain,
    ( product(product(product(b,b),product(c,c)),c) != product(product(b,c),c)
    | bigC(product(b,c),product(c,a),product(b,c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(b,c)),product(product(product(b,b),product(c,c)),c)) )],[refute_0_5498,refute_0_5499]) ).

cnf(refute_0_5501,plain,
    bigC(product(b,c),product(c,a),product(b,c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(c,c)),c),product(product(b,c),c)) )],[refute_0_5474,refute_0_5500]) ).

cnf(refute_0_5502,plain,
    product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)))]]) ).

cnf(refute_0_5503,plain,
    ( bigC(product(b,c),product(c,a),product(b,c)) != product(product(b,c),c)
    | product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(product(product(b,c),c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))) ),[1,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_5504,plain,
    ( bigC(product(b,c),product(c,a),product(b,c)) != product(product(b,c),c)
    | product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(product(product(b,c),c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))) )],[refute_0_5502,refute_0_5503]) ).

cnf(refute_0_5505,plain,
    product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(product(product(b,c),c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(b,c)),product(product(b,c),c)) )],[refute_0_5501,refute_0_5504]) ).

cnf(refute_0_5506,plain,
    ( product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) != product(product(product(b,c),c),product(b,c))
    | product(product(product(b,c),c),product(b,c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)))),bind(Y,$fot(product(product(product(b,c),c),product(b,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_5507,plain,
    ( product(product(product(b,c),c),product(b,c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),product(product(product(b,c),c),product(b,c))) )],[refute_0_5505,refute_0_5506]) ).

cnf(refute_0_5508,plain,
    product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(b,c)),product(bigC(b,b,c),c)) )],[refute_0_5459,refute_0_5507]) ).

cnf(refute_0_5509,plain,
    product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(c,a))),bind(X_24,$fot(product(b,c))),bind(X_25,$fot(b)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_5510,plain,
    product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) = product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)),
    inference(subst,[],[refute_0_813:[bind(B,$fot(b)),bind(D,$fot(c)),bind(X_23,$fot(product(b,c))),bind(X_24,$fot(product(c,a))),bind(X_25,$fot(b)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_5511,plain,
    ( product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) != product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c))
    | product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)))),bind(Y,$fot(product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)))),bind(Z,$fot(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))))]]) ).

cnf(refute_0_5512,plain,
    ( product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)),product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c))) )],[refute_0_5510,refute_0_5511]) ).

cnf(refute_0_5513,plain,
    product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),product(c,a)),b),product(product(b,c),c)),product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))) )],[refute_0_5509,refute_0_5512]) ).

cnf(refute_0_5514,plain,
    product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(product(b,c))),bind(B,$fot(product(c,a))),bind(C,$fot(b)),bind(D,$fot(c)),bind(X_44,$fot(product(b,c)))]]) ).

cnf(refute_0_5515,plain,
    ( product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) != product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c))
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)))),bind(Y,$fot(product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)))),bind(Z,$fot(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))))]]) ).

cnf(refute_0_5516,plain,
    ( product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)),product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c))) )],[refute_0_5514,refute_0_5515]) ).

cnf(refute_0_5517,plain,
    product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),b),product(product(c,a),c)),product(b,c)),product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))) )],[refute_0_5513,refute_0_5516]) ).

cnf(refute_0_5518,plain,
    ( product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) != product(bigC(b,b,c),c)
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) != product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)))),bind(Y,$fot(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_5519,plain,
    ( product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)) != product(bigC(b,b,c),c)
    | product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)),product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c))) )],[refute_0_5517,refute_0_5518]) ).

cnf(refute_0_5520,plain,
    product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),product(c,a),product(b,c)),product(b,c)),product(bigC(b,b,c),c)) )],[refute_0_5508,refute_0_5519]) ).

cnf(refute_0_5521,plain,
    ( product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)) != product(bigC(b,b,c),c)
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) != product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))) ),[1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_5522,plain,
    ( quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) != product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c)),product(bigC(b,b,c),c)) )],[refute_0_5520,refute_0_5521]) ).

cnf(refute_0_5523,plain,
    quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(product(product(product(b,c),product(c,a)),product(b,c)),product(b,c))) )],[refute_0_5444,refute_0_5522]) ).

cnf(refute_0_5524,plain,
    ( difference(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(b,c)) != product(product(b,c),difference(bigC(c,b,c),product(b,c)))
    | quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) != product(bigC(b,b,c),c)
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(c,b,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(b,c)),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) ),[0,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_5525,plain,
    ( difference(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(b,c)) != product(product(b,c),difference(bigC(c,b,c),product(b,c)))
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(c,b,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(bigC(b,b,c),c)) )],[refute_0_5523,refute_0_5524]) ).

cnf(refute_0_5526,plain,
    difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(c,b,c),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(quotient(product(b,c),product(product(b,c),difference(bigC(c,b,c),product(b,c)))),product(b,c)),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) )],[refute_0_5423,refute_0_5525]) ).

cnf(refute_0_5527,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_5528,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_5529,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_5527,refute_0_5528]) ).

cnf(refute_0_5530,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_1370,refute_0_5529]) ).

cnf(refute_0_5531,plain,
    product(product(b,c),difference(bigC(c,b,c),product(b,c))) = product(product(b,c),difference(bigC(c,b,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(b,c),difference(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_5532,plain,
    ( difference(bigC(c,b,c),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | product(product(b,c),difference(bigC(c,b,c),product(b,c))) != product(product(b,c),difference(bigC(c,b,c),product(b,c)))
    | product(product(b,c),difference(bigC(c,b,c),product(b,c))) = product(product(b,c),difference(bigC(b,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),difference(bigC(c,b,c),product(b,c))),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) ),[1,1],$fot(difference(bigC(b,a,b),product(b,c)))]]) ).

cnf(refute_0_5533,plain,
    ( difference(bigC(c,b,c),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | product(product(b,c),difference(bigC(c,b,c),product(b,c))) = product(product(b,c),difference(bigC(b,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,b,c),product(b,c))),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) )],[refute_0_5531,refute_0_5532]) ).

cnf(refute_0_5534,plain,
    product(product(b,c),difference(bigC(c,b,c),product(b,c))) = product(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(b,a,b),product(b,c))) )],[refute_0_5530,refute_0_5533]) ).

cnf(refute_0_5535,plain,
    ( difference(product(bigC(b,b,c),c),product(b,c)) != product(product(b,c),difference(bigC(c,b,c),product(b,c)))
    | product(product(b,c),difference(bigC(c,b,c),product(b,c))) != product(product(b,c),difference(bigC(b,a,b),product(b,c)))
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(b,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,b,c),c),product(b,c)),product(product(b,c),difference(bigC(b,a,b),product(b,c)))) ),[0],$fot(product(product(b,c),difference(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_5536,plain,
    ( difference(product(bigC(b,b,c),c),product(b,c)) != product(product(b,c),difference(bigC(c,b,c),product(b,c)))
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(b,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,b,c),product(b,c))),product(product(b,c),difference(bigC(b,a,b),product(b,c)))) )],[refute_0_5534,refute_0_5535]) ).

cnf(refute_0_5537,plain,
    difference(product(bigC(b,b,c),c),product(b,c)) = product(product(b,c),difference(bigC(b,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),product(b,c)),product(product(b,c),difference(bigC(c,b,c),product(b,c)))) )],[refute_0_5526,refute_0_5536]) ).

cnf(refute_0_5538,plain,
    product(product(b,c),product(b,product(c,a))) = product(b,product(c,product(c,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_5539,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_5540,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_5530,refute_0_5539]) ).

cnf(refute_0_5541,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_5439,refute_0_5540]) ).

cnf(refute_0_5542,plain,
    product(product(b,c),product(b,a)) = product(b,product(c,a)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_5543,plain,
    quotient(product(product(b,c),c),product(b,c)) = product(product(b,c),quotient(c,product(b,c))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(b,c))),bind(X_44,$fot(c))]]) ).

cnf(refute_0_5544,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(product(product(b,c),c),product(b,c)) != product(product(b,c),quotient(c,product(b,c)))
    | quotient(product(b,product(a,c)),product(b,c)) = product(product(b,c),quotient(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),c),product(b,c)),product(product(b,c),quotient(c,product(b,c)))) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_5545,plain,
    ( quotient(product(product(b,c),c),product(b,c)) != product(product(b,c),quotient(c,product(b,c)))
    | quotient(product(b,product(a,c)),product(b,c)) = product(product(b,c),quotient(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_5544]) ).

cnf(refute_0_5546,plain,
    quotient(product(b,product(a,c)),product(b,c)) = product(product(b,c),quotient(c,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),product(b,c)),product(product(b,c),quotient(c,product(b,c)))) )],[refute_0_5543,refute_0_5545]) ).

cnf(refute_0_5547,plain,
    quotient(product(b,product(a,c)),product(b,c)) = product(b,a),
    inference(subst,[],[refute_0_231:[bind(X_65,$fot(b)),bind(X_66,$fot(a)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_5548,plain,
    ( quotient(product(b,product(a,c)),product(b,c)) != product(b,a)
    | quotient(product(b,product(a,c)),product(b,c)) != product(product(b,c),quotient(c,product(b,c)))
    | product(b,a) = product(product(b,c),quotient(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,c)),product(product(b,c),quotient(c,product(b,c)))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_5549,plain,
    ( quotient(product(b,product(a,c)),product(b,c)) != product(product(b,c),quotient(c,product(b,c)))
    | product(b,a) = product(product(b,c),quotient(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,c)),product(b,a)) )],[refute_0_5547,refute_0_5548]) ).

cnf(refute_0_5550,plain,
    product(product(b,c),quotient(c,product(b,c))) = product(product(b,c),quotient(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(b,c),quotient(c,product(b,c))))]]) ).

cnf(refute_0_5551,plain,
    ( product(product(b,c),quotient(c,product(b,c))) != product(product(b,c),quotient(c,product(b,c)))
    | quotient(c,product(b,c)) != product(c,a)
    | product(product(b,c),quotient(c,product(b,c))) = product(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),quotient(c,product(b,c))),product(product(b,c),quotient(c,product(b,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_5552,plain,
    ( quotient(c,product(b,c)) != product(c,a)
    | product(product(b,c),quotient(c,product(b,c))) = product(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(c,product(b,c))),product(product(b,c),quotient(c,product(b,c)))) )],[refute_0_5550,refute_0_5551]) ).

cnf(refute_0_5553,plain,
    product(product(b,c),quotient(c,product(b,c))) = product(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,c)),product(c,a)) )],[refute_0_5429,refute_0_5552]) ).

cnf(refute_0_5554,plain,
    ( product(b,a) != product(product(b,c),quotient(c,product(b,c)))
    | product(product(b,c),quotient(c,product(b,c))) != product(product(b,c),product(c,a))
    | product(b,a) = product(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,a),product(product(b,c),product(c,a))) ),[0],$fot(product(product(b,c),quotient(c,product(b,c))))]]) ).

cnf(refute_0_5555,plain,
    ( product(b,a) != product(product(b,c),quotient(c,product(b,c)))
    | product(b,a) = product(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(c,product(b,c))),product(product(b,c),product(c,a))) )],[refute_0_5553,refute_0_5554]) ).

cnf(refute_0_5556,plain,
    ( quotient(product(b,product(a,c)),product(b,c)) != product(product(b,c),quotient(c,product(b,c)))
    | product(b,a) = product(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(b,a),product(product(b,c),quotient(c,product(b,c)))) )],[refute_0_5549,refute_0_5555]) ).

cnf(refute_0_5557,plain,
    product(b,a) = product(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,c)),product(product(b,c),quotient(c,product(b,c)))) )],[refute_0_5546,refute_0_5556]) ).

cnf(refute_0_5558,plain,
    ( product(b,a) != product(product(b,c),product(c,a))
    | product(product(b,c),product(c,a)) = product(b,a) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,a))),bind(Y,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_5559,plain,
    product(product(b,c),product(c,a)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),product(product(b,c),product(c,a))) )],[refute_0_5557,refute_0_5558]) ).

cnf(refute_0_5560,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_5561,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_5562,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_5560,refute_0_5561]) ).

cnf(refute_0_5563,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_5559,refute_0_5562]) ).

cnf(refute_0_5564,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_32:[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_5565,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_5563,refute_0_5564]) ).

cnf(refute_0_5566,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_5542,refute_0_5565]) ).

cnf(refute_0_5567,plain,
    ( difference(bigC(b,a,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(b,a,b),product(b,c)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,a,b),product(b,c)),product(b,product(c,a))) ),[0],$fot(product(product(b,c),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_5568,plain,
    ( difference(bigC(b,a,b),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(b,a,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_5566,refute_0_5567]) ).

cnf(refute_0_5569,plain,
    difference(bigC(b,a,b),product(b,c)) = product(b,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_5541,refute_0_5568]) ).

cnf(refute_0_5570,plain,
    product(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(product(b,c),difference(bigC(b,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(b,c),difference(bigC(b,a,b),product(b,c))))]]) ).

cnf(refute_0_5571,plain,
    ( difference(bigC(b,a,b),product(b,c)) != product(b,product(c,a))
    | product(product(b,c),difference(bigC(b,a,b),product(b,c))) != product(product(b,c),difference(bigC(b,a,b),product(b,c)))
    | product(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(product(b,c),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),difference(bigC(b,a,b),product(b,c))),product(product(b,c),difference(bigC(b,a,b),product(b,c)))) ),[1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_5572,plain,
    ( difference(bigC(b,a,b),product(b,c)) != product(b,product(c,a))
    | product(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(product(b,c),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(b,a,b),product(b,c))),product(product(b,c),difference(bigC(b,a,b),product(b,c)))) )],[refute_0_5570,refute_0_5571]) ).

cnf(refute_0_5573,plain,
    product(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(product(b,c),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),product(b,product(c,a))) )],[refute_0_5569,refute_0_5572]) ).

cnf(refute_0_5574,plain,
    ( product(product(b,c),difference(bigC(b,a,b),product(b,c))) != 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(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(b,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),difference(bigC(b,a,b),product(b,c))))),bind(Y,$fot(product(product(b,c),product(b,product(c,a))))),bind(Z,$fot(product(b,product(c,product(c,a)))))]]) ).

cnf(refute_0_5575,plain,
    ( product(product(b,c),product(b,product(c,a))) != product(b,product(c,product(c,a)))
    | product(product(b,c),difference(bigC(b,a,b),product(b,c))) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(b,a,b),product(b,c))),product(product(b,c),product(b,product(c,a)))) )],[refute_0_5573,refute_0_5574]) ).

cnf(refute_0_5576,plain,
    product(product(b,c),difference(bigC(b,a,b),product(b,c))) = 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_5538,refute_0_5575]) ).

cnf(refute_0_5577,plain,
    ( difference(product(bigC(b,b,c),c),product(b,c)) != product(product(b,c),difference(bigC(b,a,b),product(b,c)))
    | product(product(b,c),difference(bigC(b,a,b),product(b,c))) != product(b,product(c,product(c,a)))
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(b,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,b,c),c),product(b,c)),product(b,product(c,product(c,a)))) ),[0],$fot(product(product(b,c),difference(bigC(b,a,b),product(b,c))))]]) ).

cnf(refute_0_5578,plain,
    ( difference(product(bigC(b,b,c),c),product(b,c)) != product(product(b,c),difference(bigC(b,a,b),product(b,c)))
    | difference(product(bigC(b,b,c),c),product(b,c)) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(b,a,b),product(b,c))),product(b,product(c,product(c,a)))) )],[refute_0_5576,refute_0_5577]) ).

cnf(refute_0_5579,plain,
    difference(product(bigC(b,b,c),c),product(b,c)) = product(b,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),product(b,c)),product(product(b,c),difference(bigC(b,a,b),product(b,c)))) )],[refute_0_5537,refute_0_5578]) ).

cnf(refute_0_5580,plain,
    ( difference(product(bigC(b,b,c),c),product(b,c)) != product(b,product(c,product(c,a)))
    | quotient(product(b,c),difference(product(bigC(b,b,c),c),product(b,c))) != product(bigC(b,b,c),c)
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),difference(product(bigC(b,b,c),c),product(b,c))),product(bigC(b,b,c),c)) ),[0,1],$fot(product(b,product(c,product(c,a))))]]) ).

cnf(refute_0_5581,plain,
    ( quotient(product(b,c),difference(product(bigC(b,b,c),c),product(b,c))) != product(bigC(b,b,c),c)
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),product(b,c)),product(b,product(c,product(c,a)))) )],[refute_0_5579,refute_0_5580]) ).

cnf(refute_0_5582,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),difference(product(bigC(b,b,c),c),product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5422,refute_0_5581]) ).

cnf(refute_0_5583,plain,
    product(product(a,c),bigC(c,a,b)) = product(product(a,c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_5584,plain,
    ( bigC(c,a,b) != c
    | product(product(a,c),bigC(c,a,b)) != product(product(a,c),bigC(c,a,b))
    | product(product(a,c),bigC(c,a,b)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(product(a,c),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5585,plain,
    ( bigC(c,a,b) != c
    | product(product(a,c),bigC(c,a,b)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(product(a,c),bigC(c,a,b))) )],[refute_0_5583,refute_0_5584]) ).

cnf(refute_0_5586,plain,
    product(product(a,c),bigC(c,a,b)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_5585]) ).

cnf(refute_0_5587,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(a,c),bigC(c,a,b)) != product(product(a,c),c)
    | product(product(a,c),c) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) ),[0],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_5588,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(a,c),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(product(a,c),c)) )],[refute_0_5586,refute_0_5587]) ).

cnf(refute_0_5589,plain,
    product(product(a,c),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_5588]) ).

cnf(refute_0_5590,plain,
    product(b,product(product(a,c),c)) = product(b,product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(b,product(product(a,c),c)))]]) ).

cnf(refute_0_5591,plain,
    ( product(b,product(product(a,c),c)) != product(b,product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | product(b,product(product(a,c),c)) = product(b,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(a,c),c)),product(b,product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5592,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(b,product(product(a,c),c)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),c)),product(b,product(product(a,c),c))) )],[refute_0_5590,refute_0_5591]) ).

cnf(refute_0_5593,plain,
    product(b,product(product(a,c),c)) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_5589,refute_0_5592]) ).

cnf(refute_0_5594,plain,
    quotient(product(X_65,X_66),product(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(product(X_65,X_67))),bind(X_16,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_5595,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) ),[0,1,1],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_5596,plain,
    ( quotient(product(X_65,X_66),product(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_5595]) ).

cnf(refute_0_5597,plain,
    quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) )],[refute_0_5594,refute_0_5596]) ).

cnf(refute_0_5598,plain,
    product(product(X_65,X_66),product(X_65,product(X_66,X_67))) = product(X_65,product(X_66,product(X_66,X_67))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(X_66,X_67)))]]) ).

cnf(refute_0_5599,plain,
    quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),
    introduced(tautology,[refl,[$fot(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))))]]) ).

cnf(refute_0_5600,plain,
    ( product(product(X_65,X_66),product(X_65,product(X_66,X_67))) != product(X_65,product(X_66,product(X_66,X_67)))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) != quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67))))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67))))) ),[1,1],$fot(product(X_65,product(X_66,product(X_66,X_67))))]]) ).

cnf(refute_0_5601,plain,
    ( product(product(X_65,X_66),product(X_65,product(X_66,X_67))) != product(X_65,product(X_66,product(X_66,X_67)))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67))))) )],[refute_0_5599,refute_0_5600]) ).

cnf(refute_0_5602,plain,
    quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) = quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,product(X_66,X_67))),product(X_65,product(X_66,product(X_66,X_67)))) )],[refute_0_5598,refute_0_5601]) ).

cnf(refute_0_5603,plain,
    ( quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) != quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67))))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) ),[0],$fot(quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))))]]) ).

cnf(refute_0_5604,plain,
    ( quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67))))) )],[refute_0_5602,refute_0_5603]) ).

cnf(refute_0_5605,plain,
    quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(product(X_65,X_66))),bind(X_16,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_5606,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))) ),[1,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_5607,plain,
    ( quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_5606]) ).

cnf(refute_0_5608,plain,
    quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))) )],[refute_0_5605,refute_0_5607]) ).

cnf(refute_0_5609,plain,
    product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) = product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_66)),bind(X_24,$fot(X_65)),bind(X_25,$fot(product(X_65,X_67))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_5610,plain,
    ( product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) != product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))))),bind(Y,$fot(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)))),bind(Z,$fot(product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))))]]) ).

cnf(refute_0_5611,plain,
    ( product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)) != product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67))) )],[refute_0_5605,refute_0_5610]) ).

cnf(refute_0_5612,plain,
    quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) = product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,X_67)),product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))) )],[refute_0_5609,refute_0_5611]) ).

cnf(refute_0_5613,plain,
    ( quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))
    | quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(X_65,product(X_66,X_67)),product(X_65,X_67))
    | product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(product(X_65,product(X_66,X_67)),product(X_65,X_67))) ),[0],$fot(product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)))]]) ).

cnf(refute_0_5614,plain,
    ( quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(X_65,product(X_66,X_67)),product(X_65,X_67))
    | product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67))) )],[refute_0_5612,refute_0_5613]) ).

cnf(refute_0_5615,plain,
    ( product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) != product(product(X_65,product(X_66,X_67)),product(X_65,X_67))
    | product(product(X_65,product(X_66,X_67)),product(X_65,X_67)) != product(X_65,product(product(X_66,X_67),X_67))
    | product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(X_65,product(product(X_66,X_67),X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)),product(X_65,product(product(X_66,X_67),X_67))) ),[0],$fot(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)))]]) ).

cnf(refute_0_5616,plain,
    ( product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) != product(product(X_65,product(X_66,X_67)),product(X_65,X_67))
    | product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(X_65,product(product(X_66,X_67),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,product(X_66,X_67)),product(X_65,X_67)),product(X_65,product(product(X_66,X_67),X_67))) )],[refute_0_2094,refute_0_5615]) ).

cnf(refute_0_5617,plain,
    ( quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))) != product(product(X_65,product(X_66,X_67)),product(X_65,X_67))
    | product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(X_65,product(product(X_66,X_67),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)),product(product(X_65,product(X_66,X_67)),product(X_65,X_67))) )],[refute_0_5614,refute_0_5616]) ).

cnf(refute_0_5618,plain,
    product(bigC(X_65,X_66,X_65),product(product(X_65,X_67),X_67)) = product(X_65,product(product(X_66,X_67),X_67)),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_67),product(product(X_65,X_67),product(product(X_65,X_67),product(X_65,X_66)))),product(product(X_65,product(X_66,X_67)),product(X_65,X_67))) )],[refute_0_5608,refute_0_5617]) ).

cnf(refute_0_5619,plain,
    product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)) = product(X_65,product(product(X_67,X_66),X_66)),
    inference(subst,[],[refute_0_5618:[bind(X_66,$fot(X_67)),bind(X_67,$fot(X_66))]]) ).

cnf(refute_0_5620,plain,
    product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) = product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_67)),bind(X_24,$fot(X_65)),bind(X_25,$fot(product(X_65,X_66))),bind(X_26,$fot(X_66))]]) ).

cnf(refute_0_5621,plain,
    ( product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)) != product(X_65,product(product(X_67,X_66),X_66))
    | product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) != product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66))
    | product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) = product(X_65,product(product(X_67,X_66),X_66)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)))),bind(Y,$fot(product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)))),bind(Z,$fot(product(X_65,product(product(X_67,X_66),X_66))))]]) ).

cnf(refute_0_5622,plain,
    ( product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)) != product(X_65,product(product(X_67,X_66),X_66))
    | product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) = product(X_65,product(product(X_67,X_66),X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)),product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66))) )],[refute_0_5620,refute_0_5621]) ).

cnf(refute_0_5623,plain,
    product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) = product(X_65,product(product(X_67,X_66),X_66)),
    inference(resolve,[$cnf( $equal(product(bigC(X_65,X_67,X_65),product(product(X_65,X_66),X_66)),product(X_65,product(product(X_67,X_66),X_66))) )],[refute_0_5619,refute_0_5622]) ).

cnf(refute_0_5624,plain,
    ( product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)) != product(X_65,product(product(X_67,X_66),X_66))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(X_65,product(product(X_67,X_66),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) ),[1],$fot(product(X_65,product(product(X_67,X_66),X_66)))]]) ).

cnf(refute_0_5625,plain,
    ( quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(X_65,product(product(X_67,X_66),X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66)),product(X_65,product(product(X_67,X_66),X_66))) )],[refute_0_5623,refute_0_5624]) ).

cnf(refute_0_5626,plain,
    ( quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))) != product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))
    | quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(X_65,product(product(X_67,X_66),X_66)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) )],[refute_0_5604,refute_0_5625]) ).

cnf(refute_0_5627,plain,
    quotient(product(X_65,X_66),product(X_65,product(X_66,product(X_66,X_67)))) = product(X_65,product(product(X_67,X_66),X_66)),
    inference(resolve,[$cnf( $equal(quotient(product(X_65,X_66),product(product(X_65,X_66),product(X_65,product(X_66,X_67)))),product(product(product(X_65,X_67),product(X_65,X_66)),product(X_65,X_66))) )],[refute_0_5597,refute_0_5626]) ).

cnf(refute_0_5628,plain,
    quotient(product(b,c),product(b,product(c,product(c,a)))) = product(b,product(product(a,c),c)),
    inference(subst,[],[refute_0_5627:[bind(X_65,$fot(b)),bind(X_66,$fot(c)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_5629,plain,
    ( product(b,product(product(a,c),c)) != product(b,product(a,product(b,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) != product(b,product(product(a,c),c))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(b,c),product(b,product(c,product(c,a)))))),bind(Y,$fot(product(b,product(product(a,c),c)))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_5630,plain,
    ( product(b,product(product(a,c),c)) != product(b,product(a,product(b,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(b,product(product(a,c),c))) )],[refute_0_5628,refute_0_5629]) ).

cnf(refute_0_5631,plain,
    quotient(product(b,c),product(b,product(c,product(c,a)))) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),c)),product(b,product(a,product(b,c)))) )],[refute_0_5593,refute_0_5630]) ).

cnf(refute_0_5632,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != product(b,product(a,product(b,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) != product(bigC(b,b,c),c)
    | product(b,product(a,product(b,c))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(bigC(b,b,c),c)) ),[0],$fot(product(b,product(a,product(b,c))))]]) ).

cnf(refute_0_5633,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != product(bigC(b,b,c),c)
    | product(b,product(a,product(b,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(b,product(a,product(b,c)))) )],[refute_0_5631,refute_0_5632]) ).

cnf(refute_0_5634,plain,
    product(b,product(a,product(b,c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(bigC(b,b,c),c)) )],[refute_0_5582,refute_0_5633]) ).

cnf(refute_0_5635,plain,
    ( bigC(b,product(a,product(b,c)),C) != product(product(b,product(a,product(b,c))),product(C,b))
    | product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | bigC(b,product(a,product(b,c)),C) = product(product(bigC(b,b,c),c),product(C,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(a,product(b,c)),C),product(product(b,product(a,product(b,c))),product(C,b))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_5636,plain,
    ( bigC(b,product(a,product(b,c)),C) != product(product(b,product(a,product(b,c))),product(C,b))
    | bigC(b,product(a,product(b,c)),C) = product(product(bigC(b,b,c),c),product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5634,refute_0_5635]) ).

cnf(refute_0_5637,plain,
    bigC(b,product(a,product(b,c)),C) = product(product(bigC(b,b,c),c),product(C,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,product(b,c)),C),product(product(b,product(a,product(b,c))),product(C,b))) )],[refute_0_5421,refute_0_5636]) ).

cnf(refute_0_5638,plain,
    ( bigC(b,product(a,product(b,c)),C) != product(product(bigC(b,b,c),c),product(C,b))
    | product(product(bigC(b,b,c),c),product(C,b)) = bigC(b,product(a,product(b,c)),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(a,product(b,c)),C))),bind(Y,$fot(product(product(bigC(b,b,c),c),product(C,b))))]]) ).

cnf(refute_0_5639,plain,
    product(product(bigC(b,b,c),c),product(C,b)) = bigC(b,product(a,product(b,c)),C),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,product(b,c)),C),product(product(bigC(b,b,c),c),product(C,b))) )],[refute_0_5637,refute_0_5638]) ).

cnf(refute_0_5640,plain,
    product(product(bigC(b,b,c),c),product(a,b)) = bigC(b,product(a,product(b,c)),a),
    inference(subst,[],[refute_0_5639:[bind(C,$fot(a))]]) ).

cnf(refute_0_5641,plain,
    ( bigC(b,product(a,product(b,c)),a) != bigC(b,a,product(a,product(b,c)))
    | product(product(bigC(b,b,c),c),product(a,b)) != bigC(b,product(a,product(b,c)),a)
    | product(product(bigC(b,b,c),c),product(a,b)) = bigC(b,a,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,b,c),c),product(a,b)))),bind(Y,$fot(bigC(b,product(a,product(b,c)),a))),bind(Z,$fot(bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_5642,plain,
    ( bigC(b,product(a,product(b,c)),a) != bigC(b,a,product(a,product(b,c)))
    | product(product(bigC(b,b,c),c),product(a,b)) = bigC(b,a,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),product(a,b)),bigC(b,product(a,product(b,c)),a)) )],[refute_0_5640,refute_0_5641]) ).

cnf(refute_0_5643,plain,
    product(product(bigC(b,b,c),c),product(a,b)) = bigC(b,a,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,product(b,c)),a),bigC(b,a,product(a,product(b,c)))) )],[refute_0_5420,refute_0_5642]) ).

cnf(refute_0_5644,plain,
    product(product(b,B),product(product(a,product(b,c)),D)) = product(product(b,product(a,product(b,c))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(b)),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_5645,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(product(b,B),product(product(a,product(b,c)),D)) != product(product(b,product(a,product(b,c))),product(B,D))
    | product(product(b,B),product(product(a,product(b,c)),D)) = product(product(bigC(b,b,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,B),product(product(a,product(b,c)),D)),product(product(b,product(a,product(b,c))),product(B,D))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_5646,plain,
    ( product(product(b,B),product(product(a,product(b,c)),D)) != product(product(b,product(a,product(b,c))),product(B,D))
    | product(product(b,B),product(product(a,product(b,c)),D)) = product(product(bigC(b,b,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5634,refute_0_5645]) ).

cnf(refute_0_5647,plain,
    product(product(b,B),product(product(a,product(b,c)),D)) = product(product(bigC(b,b,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(b,B),product(product(a,product(b,c)),D)),product(product(b,product(a,product(b,c))),product(B,D))) )],[refute_0_5644,refute_0_5646]) ).

cnf(refute_0_5648,plain,
    product(product(b,a),product(product(a,product(b,c)),b)) = product(product(bigC(b,b,c),c),product(a,b)),
    inference(subst,[],[refute_0_5647:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_5649,plain,
    ( product(product(b,a),product(product(a,product(b,c)),b)) != product(product(bigC(b,b,c),c),product(a,b))
    | product(product(bigC(b,b,c),c),product(a,b)) != bigC(b,a,product(a,product(b,c)))
    | product(product(b,a),product(product(a,product(b,c)),b)) = bigC(b,a,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,a),product(product(a,product(b,c)),b)))),bind(Y,$fot(product(product(bigC(b,b,c),c),product(a,b)))),bind(Z,$fot(bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_5650,plain,
    ( product(product(bigC(b,b,c),c),product(a,b)) != bigC(b,a,product(a,product(b,c)))
    | product(product(b,a),product(product(a,product(b,c)),b)) = bigC(b,a,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(a,product(b,c)),b)),product(product(bigC(b,b,c),c),product(a,b))) )],[refute_0_5648,refute_0_5649]) ).

cnf(refute_0_5651,plain,
    product(product(b,a),product(product(a,product(b,c)),b)) = bigC(b,a,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),product(a,b)),bigC(b,a,product(a,product(b,c)))) )],[refute_0_5643,refute_0_5650]) ).

cnf(refute_0_5652,plain,
    product(a,product(product(b,a),product(product(a,product(b,c)),b))) = product(a,product(product(b,a),product(product(a,product(b,c)),b))),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,a),product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_5653,plain,
    ( product(a,product(product(b,a),product(product(a,product(b,c)),b))) != product(a,product(product(b,a),product(product(a,product(b,c)),b)))
    | product(product(b,a),product(product(a,product(b,c)),b)) != bigC(b,a,product(a,product(b,c)))
    | product(a,product(product(b,a),product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,a),product(product(a,product(b,c)),b))),product(a,product(product(b,a),product(product(a,product(b,c)),b)))) ),[1,1],$fot(bigC(b,a,product(a,product(b,c))))]]) ).

cnf(refute_0_5654,plain,
    ( product(product(b,a),product(product(a,product(b,c)),b)) != bigC(b,a,product(a,product(b,c)))
    | product(a,product(product(b,a),product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),product(product(a,product(b,c)),b))),product(a,product(product(b,a),product(product(a,product(b,c)),b)))) )],[refute_0_5652,refute_0_5653]) ).

cnf(refute_0_5655,plain,
    product(a,product(product(b,a),product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(a,product(b,c)),b)),bigC(b,a,product(a,product(b,c)))) )],[refute_0_5651,refute_0_5654]) ).

cnf(refute_0_5656,plain,
    product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) = product(a,product(product(b,a),product(product(a,product(b,c)),b))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(b)),bind(X_65,$fot(a)),bind(X_67,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_5657,plain,
    ( product(a,product(product(b,a),product(product(a,product(b,c)),b))) != product(a,bigC(b,a,product(a,product(b,c))))
    | product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) != product(a,product(product(b,a),product(product(a,product(b,c)),b)))
    | product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))),bind(Y,$fot(product(a,product(product(b,a),product(product(a,product(b,c)),b))))),bind(Z,$fot(product(a,bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_5658,plain,
    ( product(a,product(product(b,a),product(product(a,product(b,c)),b))) != product(a,bigC(b,a,product(a,product(b,c))))
    | product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))),product(a,product(product(b,a),product(product(a,product(b,c)),b)))) )],[refute_0_5656,refute_0_5657]) ).

cnf(refute_0_5659,plain,
    product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) = product(a,bigC(b,a,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),product(product(a,product(b,c)),b))),product(a,bigC(b,a,product(a,product(b,c))))) )],[refute_0_5655,refute_0_5658]) ).

cnf(refute_0_5660,plain,
    product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))))]]) ).

cnf(refute_0_5661,plain,
    ( product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) != product(a,bigC(b,a,product(a,product(b,c))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))) ),[1,1],$fot(product(a,bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_5662,plain,
    ( product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))) != product(a,bigC(b,a,product(a,product(b,c))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))) )],[refute_0_5660,refute_0_5661]) ).

cnf(refute_0_5663,plain,
    product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))),product(a,bigC(b,a,product(a,product(b,c))))) )],[refute_0_5659,refute_0_5662]) ).

cnf(refute_0_5664,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))))),bind(Y,$fot(product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_5665,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_5663,refute_0_5664]) ).

cnf(refute_0_5666,plain,
    product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),c),product(a,bigC(b,a,product(a,product(b,c))))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_5419,refute_0_5665]) ).

cnf(refute_0_5667,plain,
    product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(b,a,product(c,product(c,b))))),bind(B,$fot(c)),bind(C,$fot(bigC(a,a,b))),bind(D,$fot(product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_5668,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))
    | product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))))),bind(Y,$fot(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))))),bind(Z,$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_5669,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b))))) )],[refute_0_5667,refute_0_5668]) ).

cnf(refute_0_5670,plain,
    product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),c),product(bigC(a,a,b),product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_5666,refute_0_5669]) ).

cnf(refute_0_5671,plain,
    bigC(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(a,product(product(difference(b,c),a),b)))),bind(X_22,$fot(difference(b,c)))]]) ).

cnf(refute_0_5672,plain,
    quotient(product(product(a,product(c,b)),difference(b,c)),difference(b,c)) = product(a,product(c,b)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_5673,plain,
    product(difference(b,c),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))) = product(product(a,product(c,b)),difference(b,c)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(difference(b,c))),bind(B,$fot(product(product(a,product(c,b)),difference(b,c))))]]) ).

cnf(refute_0_5674,plain,
    difference(product(difference(b,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))) = product(product(a,c),difference(b,c)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(difference(b,c))),bind(X_18,$fot(difference(b,c))),bind(X_19,$fot(product(a,c)))]]) ).

cnf(refute_0_5675,plain,
    bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),quotient(product(a,product(c,b)),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(a,product(c,b)))),bind(X_22,$fot(product(a,c)))]]) ).

cnf(refute_0_5676,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),quotient(product(a,product(c,b)),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),quotient(product(a,product(c,b)),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) ),[0,2],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5677,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),quotient(product(a,product(c,b)),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_451,refute_0_5676]) ).

cnf(refute_0_5678,plain,
    bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),quotient(product(a,product(c,b)),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) )],[refute_0_5675,refute_0_5677]) ).

cnf(refute_0_5679,plain,
    bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5680,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))
    | quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) ),[1,0],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5681,plain,
    ( quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5679,refute_0_5680]) ).

cnf(refute_0_5682,plain,
    bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_451,refute_0_5681]) ).

cnf(refute_0_5683,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))
    | bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) ),[0],$fot(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5684,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5682,refute_0_5683]) ).

cnf(refute_0_5685,plain,
    product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) = product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))))]]) ).

cnf(refute_0_5686,plain,
    ( product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) ),[1,1],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5687,plain,
    ( quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) )],[refute_0_5685,refute_0_5686]) ).

cnf(refute_0_5688,plain,
    product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_451,refute_0_5687]) ).

cnf(refute_0_5689,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))))]]) ).

cnf(refute_0_5690,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5688,refute_0_5689]) ).

cnf(refute_0_5691,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) )],[refute_0_5684,refute_0_5690]) ).

cnf(refute_0_5692,plain,
    bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),quotient(product(a,product(c,b)),product(a,c)))) )],[refute_0_5678,refute_0_5691]) ).

cnf(refute_0_5693,plain,
    difference(bigC(c,a,b),product(a,c)) = difference(bigC(c,a,b),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5694,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(c,a,b),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | difference(bigC(c,a,b),product(a,c)) = difference(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(bigC(c,a,b),product(a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5695,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(c,a,b),product(a,c)) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_5693,refute_0_5694]) ).

cnf(refute_0_5696,plain,
    difference(bigC(c,a,b),product(a,c)) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_5695]) ).

cnf(refute_0_5697,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5698,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))
    | difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) ),[1,2],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_5699,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5697,refute_0_5698]) ).

cnf(refute_0_5700,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(c,product(a,c))) )],[refute_0_5696,refute_0_5699]) ).

cnf(refute_0_5701,plain,
    bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5702,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))
    | difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_5703,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5701,refute_0_5702]) ).

cnf(refute_0_5704,plain,
    bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(c,product(a,c))) )],[refute_0_5696,refute_0_5703]) ).

cnf(refute_0_5705,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))),bind(Y,$fot(bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))))),bind(Z,$fot(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_5706,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5704,refute_0_5705]) ).

cnf(refute_0_5707,plain,
    bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))) )],[refute_0_5700,refute_0_5706]) ).

cnf(refute_0_5708,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))
    | bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) ),[0],$fot(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_5709,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))) )],[refute_0_5707,refute_0_5708]) ).

cnf(refute_0_5710,plain,
    product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5711,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) ),[1,1],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_5712,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5710,refute_0_5711]) ).

cnf(refute_0_5713,plain,
    product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(c,product(a,c))) )],[refute_0_5696,refute_0_5712]) ).

cnf(refute_0_5714,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) ),[0],$fot(product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5715,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) )],[refute_0_5713,refute_0_5714]) ).

cnf(refute_0_5716,plain,
    ( bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))) != product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5709,refute_0_5715]) ).

cnf(refute_0_5717,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(c,a,b),product(a,c)),product(a,c),difference(bigC(c,a,b),product(a,c))),product(product(a,product(c,b)),difference(bigC(c,a,b),product(a,c)))) )],[refute_0_5692,refute_0_5716]) ).

cnf(refute_0_5718,plain,
    bigC(difference(b,c),product(a,c),difference(b,c)) = bigC(difference(b,c),difference(b,c),product(a,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(difference(b,c))),bind(B,$fot(difference(b,c))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_5719,plain,
    difference(c,product(c,difference(b,c))) = difference(b,c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_5720,plain,
    ( difference(c,product(c,difference(b,c))) != difference(b,c)
    | product(c,difference(b,c)) != product(a,c)
    | difference(c,product(a,c)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(b,c))),difference(b,c)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_5721,plain,
    ( difference(c,product(c,difference(b,c))) != difference(b,c)
    | difference(c,product(a,c)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5720]) ).

cnf(refute_0_5722,plain,
    difference(c,product(a,c)) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(b,c))),difference(b,c)) )],[refute_0_5719,refute_0_5721]) ).

cnf(refute_0_5723,plain,
    bigC(difference(b,c),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(b,c),product(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_5724,plain,
    ( bigC(difference(b,c),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),product(a,c),difference(c,product(a,c)))
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(b,c),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),product(a,c),difference(c,product(a,c)))) ),[1,2],$fot(difference(b,c))]]) ).

cnf(refute_0_5725,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(b,c),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),product(a,c),difference(c,product(a,c)))) )],[refute_0_5723,refute_0_5724]) ).

cnf(refute_0_5726,plain,
    bigC(difference(b,c),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_5722,refute_0_5725]) ).

cnf(refute_0_5727,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_5728,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_5729,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c)))) )],[refute_0_5727,refute_0_5728]) ).

cnf(refute_0_5730,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_5722,refute_0_5729]) ).

cnf(refute_0_5731,plain,
    ( bigC(difference(b,c),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),product(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),product(a,c),difference(c,product(a,c)))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))))),bind(Y,$fot(bigC(difference(b,c),product(a,c),difference(c,product(a,c))))),bind(Z,$fot(bigC(difference(b,c),product(a,c),difference(b,c))))]]) ).

cnf(refute_0_5732,plain,
    ( bigC(difference(b,c),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),product(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),product(a,c),difference(c,product(a,c)))) )],[refute_0_5730,refute_0_5731]) ).

cnf(refute_0_5733,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),product(a,c),difference(b,c))) )],[refute_0_5726,refute_0_5732]) ).

cnf(refute_0_5734,plain,
    ( bigC(difference(b,c),product(a,c),difference(b,c)) != bigC(difference(b,c),difference(b,c),product(a,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),product(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))))),bind(Y,$fot(bigC(difference(b,c),product(a,c),difference(b,c)))),bind(Z,$fot(bigC(difference(b,c),difference(b,c),product(a,c))))]]) ).

cnf(refute_0_5735,plain,
    ( bigC(difference(b,c),product(a,c),difference(b,c)) != bigC(difference(b,c),difference(b,c),product(a,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),product(a,c),difference(b,c))) )],[refute_0_5733,refute_0_5734]) ).

cnf(refute_0_5736,plain,
    bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(a,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))) )],[refute_0_5718,refute_0_5735]) ).

cnf(refute_0_5737,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != bigC(difference(b,c),difference(b,c),product(a,c))
    | bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) ),[0],$fot(bigC(difference(b,c),difference(b,c),product(a,c)))]]) ).

cnf(refute_0_5738,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),bigC(difference(b,c),difference(b,c),product(a,c))) )],[refute_0_5736,refute_0_5737]) ).

cnf(refute_0_5739,plain,
    product(product(a,product(c,b)),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),difference(c,product(a,c))))]]) ).

cnf(refute_0_5740,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(a,product(c,b)),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | product(product(a,product(c,b)),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),difference(c,product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_5741,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(a,product(c,b)),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(c,product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) )],[refute_0_5739,refute_0_5740]) ).

cnf(refute_0_5742,plain,
    product(product(a,product(c,b)),difference(c,product(a,c))) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_5722,refute_0_5741]) ).

cnf(refute_0_5743,plain,
    ( bigC(difference(b,c),difference(b,c),product(a,c)) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | product(product(a,product(c,b)),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(b,c))
    | bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),difference(b,c),product(a,c)),product(product(a,product(c,b)),difference(b,c))) ),[0],$fot(product(product(a,product(c,b)),difference(c,product(a,c))))]]) ).

cnf(refute_0_5744,plain,
    ( bigC(difference(b,c),difference(b,c),product(a,c)) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(c,product(a,c))),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5742,refute_0_5743]) ).

cnf(refute_0_5745,plain,
    ( bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))) != product(product(a,product(c,b)),difference(c,product(a,c)))
    | bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(a,c)),product(product(a,product(c,b)),difference(c,product(a,c)))) )],[refute_0_5738,refute_0_5744]) ).

cnf(refute_0_5746,plain,
    bigC(difference(b,c),difference(b,c),product(a,c)) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),product(a,c),difference(c,product(a,c))),product(product(a,product(c,b)),difference(c,product(a,c)))) )],[refute_0_5717,refute_0_5745]) ).

cnf(refute_0_5747,plain,
    ( bigC(difference(b,c),difference(b,c),product(a,c)) != product(product(a,product(c,b)),difference(b,c))
    | difference(product(difference(b,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))) != product(product(a,c),difference(b,c))
    | difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))),product(product(a,c),difference(b,c))) ),[0,1],$fot(product(product(a,product(c,b)),difference(b,c)))]]) ).

cnf(refute_0_5748,plain,
    ( difference(product(difference(b,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))) != product(product(a,c),difference(b,c))
    | difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(a,c)),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5746,refute_0_5747]) ).

cnf(refute_0_5749,plain,
    difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),bigC(difference(b,c),difference(b,c),product(a,c))),product(product(a,c),difference(b,c))) )],[refute_0_5674,refute_0_5748]) ).

cnf(refute_0_5750,plain,
    product(difference(b,c),difference(b,c)) = difference(b,c),
    inference(subst,[],[refute_0_22:[bind(A,$fot(difference(b,c)))]]) ).

cnf(refute_0_5751,plain,
    difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))))]]) ).

cnf(refute_0_5752,plain,
    ( difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) != difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c)))
    | product(difference(b,c),difference(b,c)) != difference(b,c)
    | difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c)))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_5753,plain,
    ( product(difference(b,c),difference(b,c)) != difference(b,c)
    | difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c)))) )],[refute_0_5751,refute_0_5752]) ).

cnf(refute_0_5754,plain,
    difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) = difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),difference(b,c)),difference(b,c)) )],[refute_0_5750,refute_0_5753]) ).

cnf(refute_0_5755,plain,
    ( difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) != difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))
    | difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) != product(product(a,c),difference(b,c))
    | difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),product(product(a,c),difference(b,c))) ),[0],$fot(difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))))]]) ).

cnf(refute_0_5756,plain,
    ( difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) != product(product(a,c),difference(b,c))
    | difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))) )],[refute_0_5754,refute_0_5755]) ).

cnf(refute_0_5757,plain,
    difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),difference(b,c)),product(product(a,product(c,b)),difference(b,c))),product(product(a,c),difference(b,c))) )],[refute_0_5749,refute_0_5756]) ).

cnf(refute_0_5758,plain,
    product(product(a,a),product(a,b)) = product(a,product(a,b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_5759,plain,
    product(product(X_96,c),difference(b,c)) = product(product(X_96,difference(b,c)),product(c,difference(b,c))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(c)),bind(X_26,$fot(difference(b,c)))]]) ).

cnf(refute_0_5760,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | product(product(X_96,c),difference(b,c)) != product(product(X_96,difference(b,c)),product(c,difference(b,c)))
    | product(product(X_96,c),difference(b,c)) = product(product(X_96,difference(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,c),difference(b,c)),product(product(X_96,difference(b,c)),product(c,difference(b,c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_5761,plain,
    ( product(product(X_96,c),difference(b,c)) != product(product(X_96,difference(b,c)),product(c,difference(b,c)))
    | product(product(X_96,c),difference(b,c)) = product(product(X_96,difference(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5760]) ).

cnf(refute_0_5762,plain,
    product(product(X_96,c),difference(b,c)) = product(product(X_96,difference(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),difference(b,c)),product(product(X_96,difference(b,c)),product(c,difference(b,c)))) )],[refute_0_5759,refute_0_5761]) ).

cnf(refute_0_5763,plain,
    product(product(A,difference(b,c)),product(C,c)) = product(product(A,C),product(difference(b,c),c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(difference(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_5764,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(product(A,difference(b,c)),product(C,c)) != product(product(A,C),product(difference(b,c),c))
    | product(product(A,difference(b,c)),product(C,c)) = product(product(A,C),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,difference(b,c)),product(C,c)),product(product(A,C),product(difference(b,c),c))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_5765,plain,
    ( product(product(A,difference(b,c)),product(C,c)) != product(product(A,C),product(difference(b,c),c))
    | product(product(A,difference(b,c)),product(C,c)) = product(product(A,C),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_5764]) ).

cnf(refute_0_5766,plain,
    product(product(A,difference(b,c)),product(C,c)) = product(product(A,C),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(A,difference(b,c)),product(C,c)),product(product(A,C),product(difference(b,c),c))) )],[refute_0_5763,refute_0_5765]) ).

cnf(refute_0_5767,plain,
    product(product(X_96,difference(b,c)),product(a,c)) = product(product(X_96,a),product(a,b)),
    inference(subst,[],[refute_0_5766:[bind(A,$fot(X_96)),bind(C,$fot(a))]]) ).

cnf(refute_0_5768,plain,
    ( product(product(X_96,c),difference(b,c)) != product(product(X_96,difference(b,c)),product(a,c))
    | product(product(X_96,difference(b,c)),product(a,c)) != product(product(X_96,a),product(a,b))
    | product(product(X_96,c),difference(b,c)) = product(product(X_96,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_96,c),difference(b,c)),product(product(X_96,a),product(a,b))) ),[0],$fot(product(product(X_96,difference(b,c)),product(a,c)))]]) ).

cnf(refute_0_5769,plain,
    ( product(product(X_96,c),difference(b,c)) != product(product(X_96,difference(b,c)),product(a,c))
    | product(product(X_96,c),difference(b,c)) = product(product(X_96,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),product(a,c)),product(product(X_96,a),product(a,b))) )],[refute_0_5767,refute_0_5768]) ).

cnf(refute_0_5770,plain,
    product(product(X_96,c),difference(b,c)) = product(product(X_96,a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),difference(b,c)),product(product(X_96,difference(b,c)),product(a,c))) )],[refute_0_5762,refute_0_5769]) ).

cnf(refute_0_5771,plain,
    product(product(a,c),difference(b,c)) = product(product(a,a),product(a,b)),
    inference(subst,[],[refute_0_5770:[bind(X_96,$fot(a))]]) ).

cnf(refute_0_5772,plain,
    ( product(product(a,a),product(a,b)) != product(a,product(a,b))
    | product(product(a,c),difference(b,c)) != product(product(a,a),product(a,b))
    | product(product(a,c),difference(b,c)) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),difference(b,c)))),bind(Y,$fot(product(product(a,a),product(a,b)))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_5773,plain,
    ( product(product(a,a),product(a,b)) != product(a,product(a,b))
    | product(product(a,c),difference(b,c)) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(b,c)),product(product(a,a),product(a,b))) )],[refute_0_5771,refute_0_5772]) ).

cnf(refute_0_5774,plain,
    product(product(a,c),difference(b,c)) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(a,b)),product(a,product(a,b))) )],[refute_0_5758,refute_0_5773]) ).

cnf(refute_0_5775,plain,
    ( difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) != product(product(a,c),difference(b,c))
    | product(product(a,c),difference(b,c)) != product(a,product(a,b))
    | difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))),product(a,product(a,b))) ),[0],$fot(product(product(a,c),difference(b,c)))]]) ).

cnf(refute_0_5776,plain,
    ( difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) != product(product(a,c),difference(b,c))
    | difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(b,c)),product(a,product(a,b))) )],[refute_0_5774,refute_0_5775]) ).

cnf(refute_0_5777,plain,
    difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))),product(product(a,c),difference(b,c))) )],[refute_0_5757,refute_0_5776]) ).

cnf(refute_0_5778,plain,
    ( difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))) != product(a,product(a,b))
    | product(difference(b,c),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))) != product(product(a,product(c,b)),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))),product(product(a,product(c,b)),difference(b,c))) ),[0,1],$fot(product(a,product(a,b)))]]) ).

cnf(refute_0_5779,plain,
    ( product(difference(b,c),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))) != product(product(a,product(c,b)),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(product(a,product(c,b)),difference(b,c))),product(a,product(a,b))) )],[refute_0_5777,refute_0_5778]) ).

cnf(refute_0_5780,plain,
    product(difference(b,c),product(a,product(a,b))) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),difference(difference(b,c),product(product(a,product(c,b)),difference(b,c)))),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5673,refute_0_5779]) ).

cnf(refute_0_5781,plain,
    bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(bigC(difference(b,c),difference(b,c),c),difference(b,c)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(difference(b,c))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_5782,plain,
    product(product(difference(b,c),X_97),product(a,c)) = product(product(difference(b,c),product(a,c)),product(X_97,product(a,c))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(difference(b,c))),bind(X_24,$fot(X_97)),bind(X_26,$fot(product(a,c)))]]) ).

cnf(refute_0_5783,plain,
    product(difference(bigC(c,a,b),product(a,c)),product(a,c)) = product(difference(bigC(c,a,b),product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(product(difference(bigC(c,a,b),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_5784,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) != product(difference(bigC(c,a,b),product(a,c)),product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(difference(bigC(c,a,b),product(a,c)),product(a,c))) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_5785,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(difference(bigC(c,a,b),product(a,c)),product(a,c))) )],[refute_0_5783,refute_0_5784]) ).

cnf(refute_0_5786,plain,
    product(difference(bigC(c,a,b),product(a,c)),product(a,c)) = product(difference(c,product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(c,product(a,c))) )],[refute_0_5696,refute_0_5785]) ).

cnf(refute_0_5787,plain,
    ( product(a,product(c,b)) != product(difference(bigC(c,a,b),product(a,c)),product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),product(a,c)) != product(difference(c,product(a,c)),product(a,c))
    | product(a,product(c,b)) = product(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(c,b)),product(difference(c,product(a,c)),product(a,c))) ),[0],$fot(product(difference(bigC(c,a,b),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_5788,plain,
    ( product(a,product(c,b)) != product(difference(bigC(c,a,b),product(a,c)),product(a,c))
    | product(a,product(c,b)) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_5786,refute_0_5787]) ).

cnf(refute_0_5789,plain,
    product(a,product(c,b)) = product(difference(c,product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(difference(bigC(c,a,b),product(a,c)),product(a,c))) )],[refute_0_366,refute_0_5788]) ).

cnf(refute_0_5790,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_5791,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_5792,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_5790,refute_0_5791]) ).

cnf(refute_0_5793,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_5722,refute_0_5792]) ).

cnf(refute_0_5794,plain,
    ( product(a,product(c,b)) != 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))
    | product(a,product(c,b)) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(c,b)),product(difference(b,c),product(a,c))) ),[0],$fot(product(difference(c,product(a,c)),product(a,c)))]]) ).

cnf(refute_0_5795,plain,
    ( product(a,product(c,b)) != product(difference(c,product(a,c)),product(a,c))
    | product(a,product(c,b)) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,c)),product(difference(b,c),product(a,c))) )],[refute_0_5793,refute_0_5794]) ).

cnf(refute_0_5796,plain,
    product(a,product(c,b)) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_5789,refute_0_5795]) ).

cnf(refute_0_5797,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_16:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(difference(b,c),product(a,c))))]]) ).

cnf(refute_0_5798,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_5796,refute_0_5797]) ).

cnf(refute_0_5799,plain,
    ( product(difference(b,c),product(a,c)) != product(a,product(c,b))
    | product(product(difference(b,c),X_97),product(a,c)) != product(product(difference(b,c),product(a,c)),product(X_97,product(a,c)))
    | product(product(difference(b,c),X_97),product(a,c)) = product(product(a,product(c,b)),product(X_97,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_97),product(a,c)),product(product(difference(b,c),product(a,c)),product(X_97,product(a,c)))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5800,plain,
    ( product(product(difference(b,c),X_97),product(a,c)) != product(product(difference(b,c),product(a,c)),product(X_97,product(a,c)))
    | product(product(difference(b,c),X_97),product(a,c)) = product(product(a,product(c,b)),product(X_97,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,c)),product(a,product(c,b))) )],[refute_0_5798,refute_0_5799]) ).

cnf(refute_0_5801,plain,
    product(product(difference(b,c),X_97),product(a,c)) = product(product(a,product(c,b)),product(X_97,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),product(a,c)),product(product(difference(b,c),product(a,c)),product(X_97,product(a,c)))) )],[refute_0_5782,refute_0_5800]) ).

cnf(refute_0_5802,plain,
    bigC(difference(b,c),B,c) = product(product(difference(b,c),B),product(c,difference(b,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(difference(b,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_5803,plain,
    ( bigC(difference(b,c),B,c) != product(product(difference(b,c),B),product(c,difference(b,c)))
    | product(c,difference(b,c)) != product(a,c)
    | bigC(difference(b,c),B,c) = product(product(difference(b,c),B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),B,c),product(product(difference(b,c),B),product(c,difference(b,c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_5804,plain,
    ( bigC(difference(b,c),B,c) != product(product(difference(b,c),B),product(c,difference(b,c)))
    | bigC(difference(b,c),B,c) = product(product(difference(b,c),B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5803]) ).

cnf(refute_0_5805,plain,
    bigC(difference(b,c),B,c) = product(product(difference(b,c),B),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),B,c),product(product(difference(b,c),B),product(c,difference(b,c)))) )],[refute_0_5802,refute_0_5804]) ).

cnf(refute_0_5806,plain,
    ( bigC(difference(b,c),B,c) != product(product(difference(b,c),B),product(a,c))
    | product(product(difference(b,c),B),product(a,c)) = bigC(difference(b,c),B,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(difference(b,c),B,c))),bind(Y,$fot(product(product(difference(b,c),B),product(a,c))))]]) ).

cnf(refute_0_5807,plain,
    product(product(difference(b,c),B),product(a,c)) = bigC(difference(b,c),B,c),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),B,c),product(product(difference(b,c),B),product(a,c))) )],[refute_0_5805,refute_0_5806]) ).

cnf(refute_0_5808,plain,
    product(product(difference(b,c),X_97),product(a,c)) = bigC(difference(b,c),X_97,c),
    inference(subst,[],[refute_0_5807:[bind(B,$fot(X_97))]]) ).

cnf(refute_0_5809,plain,
    ( product(product(difference(b,c),X_97),product(a,c)) != bigC(difference(b,c),X_97,c)
    | product(product(difference(b,c),X_97),product(a,c)) != product(product(a,product(c,b)),product(X_97,product(a,c)))
    | bigC(difference(b,c),X_97,c) = product(product(a,product(c,b)),product(X_97,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),X_97),product(a,c)),product(product(a,product(c,b)),product(X_97,product(a,c)))) ),[0],$fot(bigC(difference(b,c),X_97,c))]]) ).

cnf(refute_0_5810,plain,
    ( product(product(difference(b,c),X_97),product(a,c)) != product(product(a,product(c,b)),product(X_97,product(a,c)))
    | bigC(difference(b,c),X_97,c) = product(product(a,product(c,b)),product(X_97,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),product(a,c)),bigC(difference(b,c),X_97,c)) )],[refute_0_5808,refute_0_5809]) ).

cnf(refute_0_5811,plain,
    ( bigC(c,a,b) != c
    | bigC(c,b,a) != bigC(c,a,b)
    | bigC(c,b,a) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,b,a))),bind(Y,$fot(bigC(c,a,b))),bind(Z,$fot(c))]]) ).

cnf(refute_0_5812,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_124,refute_0_5811]) ).

cnf(refute_0_5813,plain,
    bigC(c,b,a) = c,
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_5812]) ).

cnf(refute_0_5814,plain,
    product(product(a,X_97),bigC(c,b,a)) = product(product(a,X_97),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,X_97),bigC(c,b,a)))]]) ).

cnf(refute_0_5815,plain,
    ( bigC(c,b,a) != c
    | product(product(a,X_97),bigC(c,b,a)) != product(product(a,X_97),bigC(c,b,a))
    | product(product(a,X_97),bigC(c,b,a)) = product(product(a,X_97),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_97),bigC(c,b,a)),product(product(a,X_97),bigC(c,b,a))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5816,plain,
    ( bigC(c,b,a) != c
    | product(product(a,X_97),bigC(c,b,a)) = product(product(a,X_97),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_97),bigC(c,b,a)),product(product(a,X_97),bigC(c,b,a))) )],[refute_0_5814,refute_0_5815]) ).

cnf(refute_0_5817,plain,
    product(product(a,X_97),bigC(c,b,a)) = product(product(a,X_97),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),c) )],[refute_0_5813,refute_0_5816]) ).

cnf(refute_0_5818,plain,
    product(product(a,product(c,b)),product(X_97,product(a,c))) = product(product(a,X_97),bigC(c,b,a)),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_23,$fot(a)),bind(X_24,$fot(X_97))]]) ).

cnf(refute_0_5819,plain,
    ( product(product(a,X_97),bigC(c,b,a)) != product(product(a,X_97),c)
    | product(product(a,product(c,b)),product(X_97,product(a,c))) != product(product(a,X_97),bigC(c,b,a))
    | product(product(a,product(c,b)),product(X_97,product(a,c))) = product(product(a,X_97),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(X_97,product(a,c))))),bind(Y,$fot(product(product(a,X_97),bigC(c,b,a)))),bind(Z,$fot(product(product(a,X_97),c)))]]) ).

cnf(refute_0_5820,plain,
    ( product(product(a,X_97),bigC(c,b,a)) != product(product(a,X_97),c)
    | product(product(a,product(c,b)),product(X_97,product(a,c))) = product(product(a,X_97),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_97,product(a,c))),product(product(a,X_97),bigC(c,b,a))) )],[refute_0_5818,refute_0_5819]) ).

cnf(refute_0_5821,plain,
    product(product(a,product(c,b)),product(X_97,product(a,c))) = product(product(a,X_97),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_97),bigC(c,b,a)),product(product(a,X_97),c)) )],[refute_0_5817,refute_0_5820]) ).

cnf(refute_0_5822,plain,
    ( bigC(difference(b,c),X_97,c) != product(product(a,product(c,b)),product(X_97,product(a,c)))
    | product(product(a,product(c,b)),product(X_97,product(a,c))) != product(product(a,X_97),c)
    | bigC(difference(b,c),X_97,c) = product(product(a,X_97),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),X_97,c),product(product(a,X_97),c)) ),[0],$fot(product(product(a,product(c,b)),product(X_97,product(a,c))))]]) ).

cnf(refute_0_5823,plain,
    ( bigC(difference(b,c),X_97,c) != product(product(a,product(c,b)),product(X_97,product(a,c)))
    | bigC(difference(b,c),X_97,c) = product(product(a,X_97),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_97,product(a,c))),product(product(a,X_97),c)) )],[refute_0_5821,refute_0_5822]) ).

cnf(refute_0_5824,plain,
    ( product(product(difference(b,c),X_97),product(a,c)) != product(product(a,product(c,b)),product(X_97,product(a,c)))
    | bigC(difference(b,c),X_97,c) = product(product(a,X_97),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),X_97,c),product(product(a,product(c,b)),product(X_97,product(a,c)))) )],[refute_0_5810,refute_0_5823]) ).

cnf(refute_0_5825,plain,
    bigC(difference(b,c),X_97,c) = product(product(a,X_97),c),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_97),product(a,c)),product(product(a,product(c,b)),product(X_97,product(a,c)))) )],[refute_0_5801,refute_0_5824]) ).

cnf(refute_0_5826,plain,
    bigC(difference(b,c),difference(b,c),c) = product(product(a,difference(b,c)),c),
    inference(subst,[],[refute_0_5825:[bind(X_97,$fot(difference(b,c)))]]) ).

cnf(refute_0_5827,plain,
    ( bigC(difference(b,c),difference(b,c),c) != product(product(a,difference(b,c)),c)
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(bigC(difference(b,c),difference(b,c),c),difference(b,c))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(product(product(a,difference(b,c)),c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(bigC(difference(b,c),difference(b,c),c),difference(b,c))) ),[1,0],$fot(product(product(a,difference(b,c)),c))]]) ).

cnf(refute_0_5828,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(bigC(difference(b,c),difference(b,c),c),difference(b,c))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(product(product(a,difference(b,c)),c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),product(product(a,difference(b,c)),c)) )],[refute_0_5826,refute_0_5827]) ).

cnf(refute_0_5829,plain,
    bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(product(product(a,difference(b,c)),c),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(bigC(difference(b,c),difference(b,c),c),difference(b,c))) )],[refute_0_5781,refute_0_5828]) ).

cnf(refute_0_5830,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(product(a,product(c,b)),difference(b,c))
    | product(product(a,product(c,b)),difference(b,c)) = product(difference(b,c),product(a,product(a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(difference(b,c),product(a,product(a,b))))),bind(Y,$fot(product(product(a,product(c,b)),difference(b,c))))]]) ).

cnf(refute_0_5831,plain,
    product(product(a,product(c,b)),difference(b,c)) = product(difference(b,c),product(a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5780,refute_0_5830]) ).

cnf(refute_0_5832,plain,
    bigC(difference(b,c),difference(b,c),c) = product(difference(b,c),product(c,difference(b,c))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(difference(b,c))),bind(X_19,$fot(c))]]) ).

cnf(refute_0_5833,plain,
    ( bigC(difference(b,c),difference(b,c),c) != product(difference(b,c),product(c,difference(b,c)))
    | product(c,difference(b,c)) != product(a,c)
    | bigC(difference(b,c),difference(b,c),c) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),product(difference(b,c),product(c,difference(b,c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_5834,plain,
    ( bigC(difference(b,c),difference(b,c),c) != product(difference(b,c),product(c,difference(b,c)))
    | bigC(difference(b,c),difference(b,c),c) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_5833]) ).

cnf(refute_0_5835,plain,
    bigC(difference(b,c),difference(b,c),c) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),product(difference(b,c),product(c,difference(b,c)))) )],[refute_0_5832,refute_0_5834]) ).

cnf(refute_0_5836,plain,
    bigC(difference(b,c),difference(b,c),c) = bigC(difference(b,c),c,difference(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(difference(b,c))),bind(B,$fot(c)),bind(C,$fot(difference(b,c)))]]) ).

cnf(refute_0_5837,plain,
    ( bigC(difference(b,c),difference(b,c),c) != bigC(difference(b,c),c,difference(b,c))
    | bigC(difference(b,c),difference(b,c),c) != product(difference(b,c),product(a,c))
    | bigC(difference(b,c),c,difference(b,c)) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),product(difference(b,c),product(a,c))) ),[0],$fot(bigC(difference(b,c),c,difference(b,c)))]]) ).

cnf(refute_0_5838,plain,
    ( bigC(difference(b,c),difference(b,c),c) != product(difference(b,c),product(a,c))
    | bigC(difference(b,c),c,difference(b,c)) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),bigC(difference(b,c),c,difference(b,c))) )],[refute_0_5836,refute_0_5837]) ).

cnf(refute_0_5839,plain,
    bigC(difference(b,c),c,difference(b,c)) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),c),product(difference(b,c),product(a,c))) )],[refute_0_5835,refute_0_5838]) ).

cnf(refute_0_5840,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(difference(b,c),product(a,c))
    | product(difference(b,c),product(a,c)) != product(a,product(c,b))
    | bigC(difference(b,c),c,difference(b,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),c,difference(b,c)),product(a,product(c,b))) ),[0],$fot(product(difference(b,c),product(a,c)))]]) ).

cnf(refute_0_5841,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(difference(b,c),product(a,c))
    | bigC(difference(b,c),c,difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,c)),product(a,product(c,b))) )],[refute_0_5798,refute_0_5840]) ).

cnf(refute_0_5842,plain,
    bigC(difference(b,c),c,difference(b,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,difference(b,c)),product(difference(b,c),product(a,c))) )],[refute_0_5839,refute_0_5841]) ).

cnf(refute_0_5843,plain,
    product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)))]]) ).

cnf(refute_0_5844,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(a,product(c,b))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) != product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5845,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(a,product(c,b))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))) )],[refute_0_5843,refute_0_5844]) ).

cnf(refute_0_5846,plain,
    product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,difference(b,c)),product(a,product(c,b))) )],[refute_0_5842,refute_0_5845]) ).

cnf(refute_0_5847,plain,
    ( product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) != product(product(a,product(c,b)),difference(b,c))
    | product(product(a,product(c,b)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)))),bind(Y,$fot(product(product(a,product(c,b)),difference(b,c)))),bind(Z,$fot(product(difference(b,c),product(a,product(a,b)))))]]) ).

cnf(refute_0_5848,plain,
    ( product(product(a,product(c,b)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5846,refute_0_5847]) ).

cnf(refute_0_5849,plain,
    product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(b,c)),product(difference(b,c),product(a,product(a,b)))) )],[refute_0_5831,refute_0_5848]) ).

cnf(refute_0_5850,plain,
    bigC(X_86,X_86,product(X_87,X_86)) = product(bigC(X_86,X_86,X_87),X_86),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(X_86)),bind(X_36,$fot(X_87))]]) ).

cnf(refute_0_5851,plain,
    bigC(X_86,X_87,X_86) = bigC(X_86,X_86,X_87),
    inference(subst,[],[refute_0_121:[bind(A,$fot(X_86)),bind(B,$fot(X_87)),bind(C,$fot(X_86))]]) ).

cnf(refute_0_5852,plain,
    ( bigC(X_86,X_87,X_86) != bigC(X_86,X_86,X_87)
    | bigC(X_86,X_86,X_87) = bigC(X_86,X_87,X_86) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_86,X_87,X_86))),bind(Y,$fot(bigC(X_86,X_86,X_87)))]]) ).

cnf(refute_0_5853,plain,
    bigC(X_86,X_86,X_87) = bigC(X_86,X_87,X_86),
    inference(resolve,[$cnf( $equal(bigC(X_86,X_87,X_86),bigC(X_86,X_86,X_87)) )],[refute_0_5851,refute_0_5852]) ).

cnf(refute_0_5854,plain,
    ( bigC(X_86,X_86,X_87) != bigC(X_86,X_87,X_86)
    | bigC(X_86,X_86,product(X_87,X_86)) != product(bigC(X_86,X_86,X_87),X_86)
    | bigC(X_86,X_86,product(X_87,X_86)) = product(bigC(X_86,X_87,X_86),X_86) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_86,X_86,product(X_87,X_86)),product(bigC(X_86,X_86,X_87),X_86)) ),[1,0],$fot(bigC(X_86,X_87,X_86))]]) ).

cnf(refute_0_5855,plain,
    ( bigC(X_86,X_86,product(X_87,X_86)) != product(bigC(X_86,X_86,X_87),X_86)
    | bigC(X_86,X_86,product(X_87,X_86)) = product(bigC(X_86,X_87,X_86),X_86) ),
    inference(resolve,[$cnf( $equal(bigC(X_86,X_86,X_87),bigC(X_86,X_87,X_86)) )],[refute_0_5853,refute_0_5854]) ).

cnf(refute_0_5856,plain,
    bigC(X_86,X_86,product(X_87,X_86)) = product(bigC(X_86,X_87,X_86),X_86),
    inference(resolve,[$cnf( $equal(bigC(X_86,X_86,product(X_87,X_86)),product(bigC(X_86,X_86,X_87),X_86)) )],[refute_0_5850,refute_0_5855]) ).

cnf(refute_0_5857,plain,
    ( bigC(X_86,X_86,product(X_87,X_86)) != product(bigC(X_86,X_86,X_87),X_86)
    | bigC(X_86,X_86,product(X_87,X_86)) != product(bigC(X_86,X_87,X_86),X_86)
    | product(bigC(X_86,X_86,X_87),X_86) = product(bigC(X_86,X_87,X_86),X_86) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_86,X_86,product(X_87,X_86)),product(bigC(X_86,X_87,X_86),X_86)) ),[0],$fot(product(bigC(X_86,X_86,X_87),X_86))]]) ).

cnf(refute_0_5858,plain,
    ( bigC(X_86,X_86,product(X_87,X_86)) != product(bigC(X_86,X_87,X_86),X_86)
    | product(bigC(X_86,X_86,X_87),X_86) = product(bigC(X_86,X_87,X_86),X_86) ),
    inference(resolve,[$cnf( $equal(bigC(X_86,X_86,product(X_87,X_86)),product(bigC(X_86,X_86,X_87),X_86)) )],[refute_0_5850,refute_0_5857]) ).

cnf(refute_0_5859,plain,
    product(bigC(X_86,X_86,X_87),X_86) = product(bigC(X_86,X_87,X_86),X_86),
    inference(resolve,[$cnf( $equal(bigC(X_86,X_86,product(X_87,X_86)),product(bigC(X_86,X_87,X_86),X_86)) )],[refute_0_5856,refute_0_5858]) ).

cnf(refute_0_5860,plain,
    product(bigC(difference(b,c),difference(b,c),c),difference(b,c)) = product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),
    inference(subst,[],[refute_0_5859:[bind(X_86,$fot(difference(b,c))),bind(X_87,$fot(c))]]) ).

cnf(refute_0_5861,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(bigC(difference(b,c),difference(b,c),c),difference(b,c))
    | product(bigC(difference(b,c),difference(b,c),c),difference(b,c)) != product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))))),bind(Y,$fot(product(bigC(difference(b,c),difference(b,c),c),difference(b,c)))),bind(Z,$fot(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))))]]) ).

cnf(refute_0_5862,plain,
    ( product(bigC(difference(b,c),difference(b,c),c),difference(b,c)) != product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(bigC(difference(b,c),difference(b,c),c),difference(b,c))) )],[refute_0_5781,refute_0_5861]) ).

cnf(refute_0_5863,plain,
    bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),difference(b,c),c),difference(b,c)),product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))) )],[refute_0_5860,refute_0_5862]) ).

cnf(refute_0_5864,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))
    | product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(difference(b,c),product(a,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))))),bind(Y,$fot(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)))),bind(Z,$fot(product(difference(b,c),product(a,product(a,b)))))]]) ).

cnf(refute_0_5865,plain,
    ( product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(difference(b,c),product(a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(bigC(difference(b,c),c,difference(b,c)),difference(b,c))) )],[refute_0_5863,refute_0_5864]) ).

cnf(refute_0_5866,plain,
    bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) = product(difference(b,c),product(a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),c,difference(b,c)),difference(b,c)),product(difference(b,c),product(a,product(a,b)))) )],[refute_0_5849,refute_0_5865]) ).

cnf(refute_0_5867,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(difference(b,c),product(a,product(a,b)))
    | bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(product(product(a,difference(b,c)),c),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(product(product(a,difference(b,c)),c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(product(product(a,difference(b,c)),c),difference(b,c))) ),[0],$fot(product(difference(b,c),product(a,product(a,b))))]]) ).

cnf(refute_0_5868,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(product(product(a,difference(b,c)),c),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(product(product(a,difference(b,c)),c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(difference(b,c),product(a,product(a,b)))) )],[refute_0_5866,refute_0_5867]) ).

cnf(refute_0_5869,plain,
    product(bigC(a,a,difference(b,c)),product(a,b)) = product(a,product(product(difference(b,c),a),b)),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(difference(b,c))),bind(X_65,$fot(a)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_5870,plain,
    product(bigC(a,difference(b,c),a),product(a,b)) = product(bigC(a,a,difference(b,c)),product(a,b)),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(a)),bind(X_25,$fot(difference(b,c))),bind(X_26,$fot(b)),bind(X_97,$fot(a))]]) ).

cnf(refute_0_5871,plain,
    ( product(bigC(a,a,difference(b,c)),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(bigC(a,difference(b,c),a),product(a,b)) != product(bigC(a,a,difference(b,c)),product(a,b))
    | product(bigC(a,difference(b,c),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,difference(b,c),a),product(a,b)))),bind(Y,$fot(product(bigC(a,a,difference(b,c)),product(a,b)))),bind(Z,$fot(product(a,product(product(difference(b,c),a),b))))]]) ).

cnf(refute_0_5872,plain,
    ( product(bigC(a,a,difference(b,c)),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(bigC(a,difference(b,c),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,difference(b,c),a),product(a,b)),product(bigC(a,a,difference(b,c)),product(a,b))) )],[refute_0_5870,refute_0_5871]) ).

cnf(refute_0_5873,plain,
    product(bigC(a,difference(b,c),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,difference(b,c)),product(a,b)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5869,refute_0_5872]) ).

cnf(refute_0_5874,plain,
    product(product(product(a,difference(b,c)),a),product(a,b)) = product(bigC(a,difference(b,c),a),product(a,b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(difference(b,c))),bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_5875,plain,
    ( product(bigC(a,difference(b,c),a),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(product(product(a,difference(b,c)),a),product(a,b)) != product(bigC(a,difference(b,c),a),product(a,b))
    | product(product(product(a,difference(b,c)),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,difference(b,c)),a),product(a,b)))),bind(Y,$fot(product(bigC(a,difference(b,c),a),product(a,b)))),bind(Z,$fot(product(a,product(product(difference(b,c),a),b))))]]) ).

cnf(refute_0_5876,plain,
    ( product(bigC(a,difference(b,c),a),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(product(product(a,difference(b,c)),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,difference(b,c)),a),product(a,b)),product(bigC(a,difference(b,c),a),product(a,b))) )],[refute_0_5874,refute_0_5875]) ).

cnf(refute_0_5877,plain,
    product(product(product(a,difference(b,c)),a),product(a,b)) = product(a,product(product(difference(b,c),a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,difference(b,c),a),product(a,b)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5873,refute_0_5876]) ).

cnf(refute_0_5878,plain,
    product(product(product(a,difference(b,c)),c),difference(b,c)) = product(product(product(a,difference(b,c)),a),product(a,b)),
    inference(subst,[],[refute_0_5770:[bind(X_96,$fot(product(a,difference(b,c))))]]) ).

cnf(refute_0_5879,plain,
    ( product(product(product(a,difference(b,c)),a),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(product(product(a,difference(b,c)),c),difference(b,c)) != product(product(product(a,difference(b,c)),a),product(a,b))
    | product(product(product(a,difference(b,c)),c),difference(b,c)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,difference(b,c)),c),difference(b,c)))),bind(Y,$fot(product(product(product(a,difference(b,c)),a),product(a,b)))),bind(Z,$fot(product(a,product(product(difference(b,c),a),b))))]]) ).

cnf(refute_0_5880,plain,
    ( product(product(product(a,difference(b,c)),a),product(a,b)) != product(a,product(product(difference(b,c),a),b))
    | product(product(product(a,difference(b,c)),c),difference(b,c)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,difference(b,c)),c),difference(b,c)),product(product(product(a,difference(b,c)),a),product(a,b))) )],[refute_0_5878,refute_0_5879]) ).

cnf(refute_0_5881,plain,
    product(product(product(a,difference(b,c)),c),difference(b,c)) = product(a,product(product(difference(b,c),a),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,difference(b,c)),a),product(a,b)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5877,refute_0_5880]) ).

cnf(refute_0_5882,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(product(product(a,difference(b,c)),c),difference(b,c))
    | product(product(product(a,difference(b,c)),c),difference(b,c)) != product(a,product(product(difference(b,c),a),b))
    | product(difference(b,c),product(a,product(a,b))) = product(a,product(product(difference(b,c),a),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(difference(b,c),product(a,product(a,b))),product(a,product(product(difference(b,c),a),b))) ),[0],$fot(product(product(product(a,difference(b,c)),c),difference(b,c)))]]) ).

cnf(refute_0_5883,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(product(product(a,difference(b,c)),c),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(a,product(product(difference(b,c),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,difference(b,c)),c),difference(b,c)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5881,refute_0_5882]) ).

cnf(refute_0_5884,plain,
    ( bigC(difference(b,c),difference(b,c),product(c,difference(b,c))) != product(product(product(a,difference(b,c)),c),difference(b,c))
    | product(difference(b,c),product(a,product(a,b))) = product(a,product(product(difference(b,c),a),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(product(product(a,difference(b,c)),c),difference(b,c))) )],[refute_0_5868,refute_0_5883]) ).

cnf(refute_0_5885,plain,
    product(difference(b,c),product(a,product(a,b))) = product(a,product(product(difference(b,c),a),b)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),product(c,difference(b,c))),product(product(product(a,difference(b,c)),c),difference(b,c))) )],[refute_0_5829,refute_0_5884]) ).

cnf(refute_0_5886,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(a,product(product(difference(b,c),a),b))
    | product(difference(b,c),product(a,product(a,b))) != product(product(a,product(c,b)),difference(b,c))
    | product(a,product(product(difference(b,c),a),b)) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(product(a,product(c,b)),difference(b,c))) ),[0],$fot(product(a,product(product(difference(b,c),a),b)))]]) ).

cnf(refute_0_5887,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(product(a,product(c,b)),difference(b,c))
    | product(a,product(product(difference(b,c),a),b)) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5885,refute_0_5886]) ).

cnf(refute_0_5888,plain,
    product(a,product(product(difference(b,c),a),b)) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5780,refute_0_5887]) ).

cnf(refute_0_5889,plain,
    ( product(a,product(product(difference(b,c),a),b)) != product(product(a,product(c,b)),difference(b,c))
    | product(product(a,product(c,b)),difference(b,c)) = product(a,product(product(difference(b,c),a),b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(product(difference(b,c),a),b)))),bind(Y,$fot(product(product(a,product(c,b)),difference(b,c))))]]) ).

cnf(refute_0_5890,plain,
    product(product(a,product(c,b)),difference(b,c)) = product(a,product(product(difference(b,c),a),b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5888,refute_0_5889]) ).

cnf(refute_0_5891,plain,
    ( product(product(a,product(c,b)),difference(b,c)) != product(a,product(product(difference(b,c),a),b))
    | quotient(product(product(a,product(c,b)),difference(b,c)),difference(b,c)) != product(a,product(c,b))
    | quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(c,b)),difference(b,c)),difference(b,c)),product(a,product(c,b))) ),[0,0],$fot(product(a,product(product(difference(b,c),a),b)))]]) ).

cnf(refute_0_5892,plain,
    ( quotient(product(product(a,product(c,b)),difference(b,c)),difference(b,c)) != product(a,product(c,b))
    | quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(b,c)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5890,refute_0_5891]) ).

cnf(refute_0_5893,plain,
    quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),difference(b,c)),difference(b,c)),product(a,product(c,b))) )],[refute_0_5672,refute_0_5892]) ).

cnf(refute_0_5894,plain,
    ( bigC(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) ),[0,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5895,plain,
    ( bigC(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),product(a,product(c,b))) )],[refute_0_5893,refute_0_5894]) ).

cnf(refute_0_5896,plain,
    bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) )],[refute_0_5671,refute_0_5895]) ).

cnf(refute_0_5897,plain,
    bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(product(a,product(c,b)),difference(b,c)),product(a,product(c,b))),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,product(c,b)))),bind(X_18,$fot(difference(b,c)))]]) ).

cnf(refute_0_5898,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(product(a,product(c,b)),difference(b,c)),product(a,product(c,b)))
    | product(product(a,product(c,b)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(product(product(a,product(c,b)),difference(b,c)),product(a,product(c,b)))) ),[1,0],$fot(product(difference(b,c),product(a,product(a,b))))]]) ).

cnf(refute_0_5899,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(product(a,product(c,b)),difference(b,c)),product(a,product(c,b)))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(b,c)),product(difference(b,c),product(a,product(a,b)))) )],[refute_0_5831,refute_0_5898]) ).

cnf(refute_0_5900,plain,
    bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(product(product(a,product(c,b)),difference(b,c)),product(a,product(c,b)))) )],[refute_0_5897,refute_0_5899]) ).

cnf(refute_0_5901,plain,
    product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) = product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(a)),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(product(c,b))),bind(X_97,$fot(difference(b,c)))]]) ).

cnf(refute_0_5902,plain,
    bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(product(product(X_97,X_98),B),product(product(X_96,X_98),product(X_97,X_98))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(X_97,X_98))),bind(C,$fot(product(X_96,X_98)))]]) ).

cnf(refute_0_5903,plain,
    ( bigC(product(X_97,X_98),B,product(X_96,X_98)) != product(product(product(X_97,X_98),B),product(product(X_96,X_98),product(X_97,X_98)))
    | product(product(X_96,X_98),product(X_97,X_98)) != product(product(X_96,X_97),X_98)
    | bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_97,X_98),B,product(X_96,X_98)),product(product(product(X_97,X_98),B),product(product(X_96,X_98),product(X_97,X_98)))) ),[1,1],$fot(product(product(X_96,X_97),X_98))]]) ).

cnf(refute_0_5904,plain,
    ( bigC(product(X_97,X_98),B,product(X_96,X_98)) != product(product(product(X_97,X_98),B),product(product(X_96,X_98),product(X_97,X_98)))
    | bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_98),product(X_97,X_98)),product(product(X_96,X_97),X_98)) )],[refute_0_2056,refute_0_5903]) ).

cnf(refute_0_5905,plain,
    bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)),
    inference(resolve,[$cnf( $equal(bigC(product(X_97,X_98),B,product(X_96,X_98)),product(product(product(X_97,X_98),B),product(product(X_96,X_98),product(X_97,X_98)))) )],[refute_0_5902,refute_0_5904]) ).

cnf(refute_0_5906,plain,
    product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)) = product(bigC(X_97,X_98,X_96),product(B,X_98)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(X_97)),bind(B,$fot(X_98)),bind(C,$fot(X_96)),bind(X_25,$fot(B)),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_5907,plain,
    ( bigC(product(X_97,X_98),B,product(X_96,X_98)) != product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98))
    | product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)) != product(bigC(X_97,X_98,X_96),product(B,X_98))
    | bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(bigC(X_97,X_98,X_96),product(B,X_98)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_97,X_98),B,product(X_96,X_98)),product(bigC(X_97,X_98,X_96),product(B,X_98))) ),[0],$fot(product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)))]]) ).

cnf(refute_0_5908,plain,
    ( bigC(product(X_97,X_98),B,product(X_96,X_98)) != product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98))
    | bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(bigC(X_97,X_98,X_96),product(B,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98)),product(bigC(X_97,X_98,X_96),product(B,X_98))) )],[refute_0_5906,refute_0_5907]) ).

cnf(refute_0_5909,plain,
    bigC(product(X_97,X_98),B,product(X_96,X_98)) = product(bigC(X_97,X_98,X_96),product(B,X_98)),
    inference(resolve,[$cnf( $equal(bigC(product(X_97,X_98),B,product(X_96,X_98)),product(product(product(X_97,X_98),B),product(product(X_96,X_97),X_98))) )],[refute_0_5905,refute_0_5908]) ).

cnf(refute_0_5910,plain,
    bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))),
    inference(subst,[],[refute_0_5909:[bind(B,$fot(difference(b,c))),bind(X_96,$fot(a)),bind(X_97,$fot(a)),bind(X_98,$fot(product(c,b)))]]) ).

cnf(refute_0_5911,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) != product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))))),bind(Z,$fot(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))))]]) ).

cnf(refute_0_5912,plain,
    ( product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) != product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b)))) )],[refute_0_5910,refute_0_5911]) ).

cnf(refute_0_5913,plain,
    bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))),product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))) )],[refute_0_5901,refute_0_5912]) ).

cnf(refute_0_5914,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))
    | product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))) ),[0],$fot(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))))]]) ).

cnf(refute_0_5915,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))
    | product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))) )],[refute_0_5913,refute_0_5914]) ).

cnf(refute_0_5916,plain,
    product(product(a,a),product(product(c,b),b)) = product(product(a,a),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(c,b),b)))]]) ).

cnf(refute_0_5917,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,b),b)) != product(product(a,a),product(product(c,b),b))
    | product(product(a,a),product(product(c,b),b)) = product(a,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(c,b),b)),product(product(a,a),product(product(c,b),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_5918,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,b),b)) = product(a,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,b),b)),product(product(a,a),product(product(c,b),b))) )],[refute_0_5916,refute_0_5917]) ).

cnf(refute_0_5919,plain,
    product(product(a,a),product(product(c,b),b)) = product(a,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_5918]) ).

cnf(refute_0_5920,plain,
    product(product(product(a,a),product(product(c,b),b)),difference(b,c)) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(product(c,b),b)),difference(b,c)))]]) ).

cnf(refute_0_5921,plain,
    ( product(product(a,a),product(product(c,b),b)) != product(a,product(product(c,b),b))
    | product(product(product(a,a),product(product(c,b),b)),difference(b,c)) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(product(a,a),product(product(c,b),b)),difference(b,c)) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(product(c,b),b)),difference(b,c)),product(product(product(a,a),product(product(c,b),b)),difference(b,c))) ),[1,0],$fot(product(a,product(product(c,b),b)))]]) ).

cnf(refute_0_5922,plain,
    ( product(product(a,a),product(product(c,b),b)) != product(a,product(product(c,b),b))
    | product(product(product(a,a),product(product(c,b),b)),difference(b,c)) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(c,b),b)),difference(b,c)),product(product(product(a,a),product(product(c,b),b)),difference(b,c))) )],[refute_0_5920,refute_0_5921]) ).

cnf(refute_0_5923,plain,
    product(product(product(a,a),product(product(c,b),b)),difference(b,c)) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,b),b)),product(a,product(product(c,b),b))) )],[refute_0_5919,refute_0_5922]) ).

cnf(refute_0_5924,plain,
    product(product(product(A,C),product(B,D)),X_98) = product(product(product(A,C),X_98),product(product(B,D),X_98)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(A,C))),bind(X_24,$fot(product(B,D))),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_5925,plain,
    ( product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | product(product(product(A,C),product(B,D)),X_98) != product(product(product(A,C),X_98),product(product(B,D),X_98))
    | product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),X_98),product(product(B,D),X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,C),product(B,D)),X_98),product(product(product(A,C),X_98),product(product(B,D),X_98))) ),[0,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_5926,plain,
    ( product(product(product(A,C),product(B,D)),X_98) != product(product(product(A,C),X_98),product(product(B,D),X_98))
    | product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),X_98),product(product(B,D),X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_5925]) ).

cnf(refute_0_5927,plain,
    product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),X_98),product(product(B,D),X_98)),
    inference(resolve,[$cnf( $equal(product(product(product(A,C),product(B,D)),X_98),product(product(product(A,C),X_98),product(product(B,D),X_98))) )],[refute_0_5924,refute_0_5926]) ).

cnf(refute_0_5928,plain,
    product(product(product(A,C),X_98),product(product(B,D),X_98)) = product(product(product(A,C),product(B,D)),X_98),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(product(A,C))),bind(X_24,$fot(product(B,D))),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_5929,plain,
    ( product(product(product(A,B),product(C,D)),X_98) != product(product(product(A,C),X_98),product(product(B,D),X_98))
    | product(product(product(A,C),X_98),product(product(B,D),X_98)) != product(product(product(A,C),product(B,D)),X_98)
    | product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),product(B,D)),X_98) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(A,B),product(C,D)),X_98),product(product(product(A,C),product(B,D)),X_98)) ),[0],$fot(product(product(product(A,C),X_98),product(product(B,D),X_98)))]]) ).

cnf(refute_0_5930,plain,
    ( product(product(product(A,B),product(C,D)),X_98) != product(product(product(A,C),X_98),product(product(B,D),X_98))
    | product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),product(B,D)),X_98) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,C),X_98),product(product(B,D),X_98)),product(product(product(A,C),product(B,D)),X_98)) )],[refute_0_5928,refute_0_5929]) ).

cnf(refute_0_5931,plain,
    product(product(product(A,B),product(C,D)),X_98) = product(product(product(A,C),product(B,D)),X_98),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),X_98),product(product(product(A,C),X_98),product(product(B,D),X_98))) )],[refute_0_5927,refute_0_5930]) ).

cnf(refute_0_5932,plain,
    ( product(product(product(A,B),product(C,D)),X_98) != product(product(product(A,C),product(B,D)),X_98)
    | product(product(product(A,C),product(B,D)),X_98) = product(product(product(A,B),product(C,D)),X_98) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(A,B),product(C,D)),X_98))),bind(Y,$fot(product(product(product(A,C),product(B,D)),X_98)))]]) ).

cnf(refute_0_5933,plain,
    product(product(product(A,C),product(B,D)),X_98) = product(product(product(A,B),product(C,D)),X_98),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),X_98),product(product(product(A,C),product(B,D)),X_98)) )],[refute_0_5931,refute_0_5932]) ).

cnf(refute_0_5934,plain,
    product(product(product(a,product(c,b)),product(a,b)),difference(b,c)) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)),
    inference(subst,[],[refute_0_5933:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(b)),bind(X_98,$fot(difference(b,c)))]]) ).

cnf(refute_0_5935,plain,
    product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,difference(b,c)),product(product(a,b),difference(b,c))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(a,b))),bind(X_26,$fot(difference(b,c)))]]) ).

cnf(refute_0_5936,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_56:[bind(A,$fot(product(a,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_5937,plain,
    ( bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | quotient(product(a,b),c) != difference(b,c)
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = product(product(a,b),quotient(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) ),[0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_5938,plain,
    ( bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = product(product(a,b),quotient(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_5261,refute_0_5937]) ).

cnf(refute_0_5939,plain,
    bigC(difference(b,c),c,quotient(product(a,b),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_5936,refute_0_5938]) ).

cnf(refute_0_5940,plain,
    bigC(difference(b,c),c,quotient(product(a,b),c)) = bigC(difference(b,c),c,quotient(product(a,b),c)),
    introduced(tautology,[refl,[$fot(bigC(difference(b,c),c,quotient(product(a,b),c)))]]) ).

cnf(refute_0_5941,plain,
    ( bigC(difference(b,c),c,quotient(product(a,b),c)) != bigC(difference(b,c),c,quotient(product(a,b),c))
    | quotient(product(a,b),c) != difference(b,c)
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = bigC(difference(b,c),c,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),bigC(difference(b,c),c,quotient(product(a,b),c))) ),[1,2],$fot(difference(b,c))]]) ).

cnf(refute_0_5942,plain,
    ( quotient(product(a,b),c) != difference(b,c)
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = bigC(difference(b,c),c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),bigC(difference(b,c),c,quotient(product(a,b),c))) )],[refute_0_5940,refute_0_5941]) ).

cnf(refute_0_5943,plain,
    bigC(difference(b,c),c,quotient(product(a,b),c)) = bigC(difference(b,c),c,difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_5261,refute_0_5942]) ).

cnf(refute_0_5944,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(a,product(c,b))
    | bigC(difference(b,c),c,quotient(product(a,b),c)) != bigC(difference(b,c),c,difference(b,c))
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(b,c),c,quotient(product(a,b),c)))),bind(Y,$fot(bigC(difference(b,c),c,difference(b,c)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_5945,plain,
    ( bigC(difference(b,c),c,difference(b,c)) != product(a,product(c,b))
    | bigC(difference(b,c),c,quotient(product(a,b),c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),bigC(difference(b,c),c,difference(b,c))) )],[refute_0_5943,refute_0_5944]) ).

cnf(refute_0_5946,plain,
    bigC(difference(b,c),c,quotient(product(a,b),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,difference(b,c)),product(a,product(c,b))) )],[refute_0_5842,refute_0_5945]) ).

cnf(refute_0_5947,plain,
    ( bigC(difference(b,c),c,quotient(product(a,b),c)) != product(a,product(c,b))
    | bigC(difference(b,c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | product(a,product(c,b)) = product(product(a,b),quotient(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5948,plain,
    ( bigC(difference(b,c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | product(a,product(c,b)) = product(product(a,b),quotient(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),product(a,product(c,b))) )],[refute_0_5946,refute_0_5947]) ).

cnf(refute_0_5949,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_5950,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(b,c)
    | product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(b,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(b,c))]]) ).

cnf(refute_0_5951,plain,
    ( quotient(product(a,b),c) != difference(b,c)
    | product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(b,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_5949,refute_0_5950]) ).

cnf(refute_0_5952,plain,
    product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_5261,refute_0_5951]) ).

cnf(refute_0_5953,plain,
    ( product(a,product(c,b)) != product(product(a,b),quotient(product(a,b),c))
    | product(product(a,b),quotient(product(a,b),c)) != product(product(a,b),difference(b,c))
    | product(a,product(c,b)) = product(product(a,b),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(c,b)),product(product(a,b),difference(b,c))) ),[0],$fot(product(product(a,b),quotient(product(a,b),c)))]]) ).

cnf(refute_0_5954,plain,
    ( product(a,product(c,b)) != product(product(a,b),quotient(product(a,b),c))
    | product(a,product(c,b)) = product(product(a,b),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(product(a,b),difference(b,c))) )],[refute_0_5952,refute_0_5953]) ).

cnf(refute_0_5955,plain,
    ( bigC(difference(b,c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | product(a,product(c,b)) = product(product(a,b),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(product(a,b),quotient(product(a,b),c))) )],[refute_0_5948,refute_0_5954]) ).

cnf(refute_0_5956,plain,
    product(a,product(c,b)) = product(product(a,b),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) )],[refute_0_5939,refute_0_5955]) ).

cnf(refute_0_5957,plain,
    product(product(c,X_97),difference(b,product(c,b))) = product(product(c,difference(b,product(c,b))),product(X_97,difference(b,product(c,b)))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_24,$fot(X_97)),bind(X_26,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_5958,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(product(c,X_97),difference(b,product(c,b))) != product(product(c,difference(b,product(c,b))),product(X_97,difference(b,product(c,b))))
    | product(product(c,X_97),difference(b,product(c,b))) = product(product(a,b),product(X_97,difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_97),difference(b,product(c,b))),product(product(c,difference(b,product(c,b))),product(X_97,difference(b,product(c,b))))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_5959,plain,
    ( product(product(c,X_97),difference(b,product(c,b))) != product(product(c,difference(b,product(c,b))),product(X_97,difference(b,product(c,b))))
    | product(product(c,X_97),difference(b,product(c,b))) = product(product(a,b),product(X_97,difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_5958]) ).

cnf(refute_0_5960,plain,
    product(product(c,X_97),difference(b,product(c,b))) = product(product(a,b),product(X_97,difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),difference(b,product(c,b))),product(product(c,difference(b,product(c,b))),product(X_97,difference(b,product(c,b))))) )],[refute_0_5957,refute_0_5959]) ).

cnf(refute_0_5961,plain,
    product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),product(c,quotient(b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(quotient(b,c)))]]) ).

cnf(refute_0_5962,plain,
    ( product(c,product(X_25,quotient(b,c))) != product(product(c,X_25),product(c,quotient(b,c)))
    | product(c,quotient(b,c)) != difference(c,product(a,b))
    | product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,quotient(b,c))),product(product(c,X_25),product(c,quotient(b,c)))) ),[1,1],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_5963,plain,
    ( product(c,product(X_25,quotient(b,c))) != product(product(c,X_25),product(c,quotient(b,c)))
    | product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_4226,refute_0_5962]) ).

cnf(refute_0_5964,plain,
    product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,quotient(b,c))),product(product(c,X_25),product(c,quotient(b,c)))) )],[refute_0_5961,refute_0_5963]) ).

cnf(refute_0_5965,plain,
    product(product(c,X_25),difference(c,product(a,b))) = product(product(c,X_25),difference(c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,X_25),difference(c,product(a,b))))]]) ).

cnf(refute_0_5966,plain,
    ( difference(c,product(a,b)) != difference(b,product(c,b))
    | product(product(c,X_25),difference(c,product(a,b))) != product(product(c,X_25),difference(c,product(a,b)))
    | product(product(c,X_25),difference(c,product(a,b))) = product(product(c,X_25),difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_25),difference(c,product(a,b))),product(product(c,X_25),difference(c,product(a,b)))) ),[1,1],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_5967,plain,
    ( difference(c,product(a,b)) != difference(b,product(c,b))
    | product(product(c,X_25),difference(c,product(a,b))) = product(product(c,X_25),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),difference(c,product(a,b))),product(product(c,X_25),difference(c,product(a,b)))) )],[refute_0_5965,refute_0_5966]) ).

cnf(refute_0_5968,plain,
    product(product(c,X_25),difference(c,product(a,b))) = product(product(c,X_25),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),difference(b,product(c,b))) )],[refute_0_4353,refute_0_5967]) ).

cnf(refute_0_5969,plain,
    ( product(c,product(X_25,quotient(b,c))) != product(product(c,X_25),difference(c,product(a,b)))
    | product(product(c,X_25),difference(c,product(a,b))) != product(product(c,X_25),difference(b,product(c,b)))
    | product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,quotient(b,c))),product(product(c,X_25),difference(b,product(c,b)))) ),[0],$fot(product(product(c,X_25),difference(c,product(a,b))))]]) ).

cnf(refute_0_5970,plain,
    ( product(c,product(X_25,quotient(b,c))) != product(product(c,X_25),difference(c,product(a,b)))
    | product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),difference(c,product(a,b))),product(product(c,X_25),difference(b,product(c,b)))) )],[refute_0_5968,refute_0_5969]) ).

cnf(refute_0_5971,plain,
    product(c,product(X_25,quotient(b,c))) = product(product(c,X_25),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,quotient(b,c))),product(product(c,X_25),difference(c,product(a,b)))) )],[refute_0_5964,refute_0_5970]) ).

cnf(refute_0_5972,plain,
    ( product(c,product(X_25,quotient(b,c))) != product(product(c,X_25),difference(b,product(c,b)))
    | product(product(c,X_25),difference(b,product(c,b))) = product(c,product(X_25,quotient(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(X_25,quotient(b,c))))),bind(Y,$fot(product(product(c,X_25),difference(b,product(c,b)))))]]) ).

cnf(refute_0_5973,plain,
    product(product(c,X_25),difference(b,product(c,b))) = product(c,product(X_25,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,quotient(b,c))),product(product(c,X_25),difference(b,product(c,b)))) )],[refute_0_5971,refute_0_5972]) ).

cnf(refute_0_5974,plain,
    product(product(c,X_97),difference(b,product(c,b))) = product(c,product(X_97,quotient(b,c))),
    inference(subst,[],[refute_0_5973:[bind(X_25,$fot(X_97))]]) ).

cnf(refute_0_5975,plain,
    ( product(product(c,X_97),difference(b,product(c,b))) != product(c,product(X_97,quotient(b,c)))
    | product(product(c,X_97),difference(b,product(c,b))) != product(product(a,b),product(X_97,difference(b,product(c,b))))
    | product(c,product(X_97,quotient(b,c))) = product(product(a,b),product(X_97,difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_97),difference(b,product(c,b))),product(product(a,b),product(X_97,difference(b,product(c,b))))) ),[0],$fot(product(c,product(X_97,quotient(b,c))))]]) ).

cnf(refute_0_5976,plain,
    ( product(product(c,X_97),difference(b,product(c,b))) != product(product(a,b),product(X_97,difference(b,product(c,b))))
    | product(c,product(X_97,quotient(b,c))) = product(product(a,b),product(X_97,difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),difference(b,product(c,b))),product(c,product(X_97,quotient(b,c)))) )],[refute_0_5974,refute_0_5975]) ).

cnf(refute_0_5977,plain,
    product(product(X_23,X_24),product(X_25,difference(X_25,B))) = product(product(X_23,X_25),product(X_24,difference(X_25,B))),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(X_25)),bind(D,$fot(difference(X_25,B)))]]) ).

cnf(refute_0_5978,plain,
    product(X_25,difference(X_25,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_25))]]) ).

cnf(refute_0_5979,plain,
    ( product(X_25,difference(X_25,B)) != B
    | product(product(X_23,X_24),product(X_25,difference(X_25,B))) != product(product(X_23,X_25),product(X_24,difference(X_25,B)))
    | product(product(X_23,X_24),B) = product(product(X_23,X_25),product(X_24,difference(X_25,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(X_25,difference(X_25,B))),product(product(X_23,X_25),product(X_24,difference(X_25,B)))) ),[0,1],$fot(B)]]) ).

cnf(refute_0_5980,plain,
    ( product(product(X_23,X_24),product(X_25,difference(X_25,B))) != product(product(X_23,X_25),product(X_24,difference(X_25,B)))
    | product(product(X_23,X_24),B) = product(product(X_23,X_25),product(X_24,difference(X_25,B))) ),
    inference(resolve,[$cnf( $equal(product(X_25,difference(X_25,B)),B) )],[refute_0_5978,refute_0_5979]) ).

cnf(refute_0_5981,plain,
    product(product(X_23,X_24),B) = product(product(X_23,X_25),product(X_24,difference(X_25,B))),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(X_25,difference(X_25,B))),product(product(X_23,X_25),product(X_24,difference(X_25,B)))) )],[refute_0_5977,refute_0_5980]) ).

cnf(refute_0_5982,plain,
    ( product(product(X_23,X_24),B) != product(product(X_23,X_25),product(X_24,difference(X_25,B)))
    | product(product(X_23,X_25),product(X_24,difference(X_25,B))) = product(product(X_23,X_24),B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),B))),bind(Y,$fot(product(product(X_23,X_25),product(X_24,difference(X_25,B)))))]]) ).

cnf(refute_0_5983,plain,
    product(product(X_23,X_25),product(X_24,difference(X_25,B))) = product(product(X_23,X_24),B),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),B),product(product(X_23,X_25),product(X_24,difference(X_25,B)))) )],[refute_0_5981,refute_0_5982]) ).

cnf(refute_0_5984,plain,
    product(product(a,b),product(X_97,difference(b,product(c,b)))) = product(product(a,X_97),product(c,b)),
    inference(subst,[],[refute_0_5983:[bind(B,$fot(product(c,b))),bind(X_23,$fot(a)),bind(X_24,$fot(X_97)),bind(X_25,$fot(b))]]) ).

cnf(refute_0_5985,plain,
    ( product(c,product(X_97,quotient(b,c))) != product(product(a,b),product(X_97,difference(b,product(c,b))))
    | product(product(a,b),product(X_97,difference(b,product(c,b)))) != product(product(a,X_97),product(c,b))
    | product(c,product(X_97,quotient(b,c))) = product(product(a,X_97),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_97,quotient(b,c))),product(product(a,X_97),product(c,b))) ),[0],$fot(product(product(a,b),product(X_97,difference(b,product(c,b)))))]]) ).

cnf(refute_0_5986,plain,
    ( product(c,product(X_97,quotient(b,c))) != product(product(a,b),product(X_97,difference(b,product(c,b))))
    | product(c,product(X_97,quotient(b,c))) = product(product(a,X_97),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_97,difference(b,product(c,b)))),product(product(a,X_97),product(c,b))) )],[refute_0_5984,refute_0_5985]) ).

cnf(refute_0_5987,plain,
    ( product(product(c,X_97),difference(b,product(c,b))) != product(product(a,b),product(X_97,difference(b,product(c,b))))
    | product(c,product(X_97,quotient(b,c))) = product(product(a,X_97),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_97,quotient(b,c))),product(product(a,b),product(X_97,difference(b,product(c,b))))) )],[refute_0_5976,refute_0_5986]) ).

cnf(refute_0_5988,plain,
    product(c,product(X_97,quotient(b,c))) = product(product(a,X_97),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),difference(b,product(c,b))),product(product(a,b),product(X_97,difference(b,product(c,b))))) )],[refute_0_5960,refute_0_5987]) ).

cnf(refute_0_5989,plain,
    ( product(c,product(X_97,quotient(b,c))) != product(product(a,X_97),product(c,b))
    | product(product(a,X_97),product(c,b)) = product(c,product(X_97,quotient(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(X_97,quotient(b,c))))),bind(Y,$fot(product(product(a,X_97),product(c,b))))]]) ).

cnf(refute_0_5990,plain,
    product(product(a,X_97),product(c,b)) = product(c,product(X_97,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(X_97,quotient(b,c))),product(product(a,X_97),product(c,b))) )],[refute_0_5988,refute_0_5989]) ).

cnf(refute_0_5991,plain,
    product(product(a,a),product(c,b)) = product(c,product(a,quotient(b,c))),
    inference(subst,[],[refute_0_5990:[bind(X_97,$fot(a))]]) ).

cnf(refute_0_5992,plain,
    product(product(X_96,difference(b,c)),c) = product(product(X_96,c),product(difference(b,c),c)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(difference(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_5993,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(product(X_96,difference(b,c)),c) != product(product(X_96,c),product(difference(b,c),c))
    | product(product(X_96,difference(b,c)),c) = product(product(X_96,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,c),product(difference(b,c),c))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_5994,plain,
    ( product(product(X_96,difference(b,c)),c) != product(product(X_96,c),product(difference(b,c),c))
    | product(product(X_96,difference(b,c)),c) = product(product(X_96,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_5993]) ).

cnf(refute_0_5995,plain,
    product(product(X_96,difference(b,c)),c) = product(product(X_96,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,c),product(difference(b,c),c))) )],[refute_0_5992,refute_0_5994]) ).

cnf(refute_0_5996,plain,
    product(product(X_96,c),product(a,b)) = product(product(X_96,a),product(c,b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_96)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_5997,plain,
    ( product(product(X_96,c),product(a,b)) != product(product(X_96,a),product(c,b))
    | product(product(X_96,difference(b,c)),c) != product(product(X_96,c),product(a,b))
    | product(product(X_96,difference(b,c)),c) = product(product(X_96,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,c),product(a,b))) ),[1],$fot(product(product(X_96,a),product(c,b)))]]) ).

cnf(refute_0_5998,plain,
    ( product(product(X_96,difference(b,c)),c) != product(product(X_96,c),product(a,b))
    | product(product(X_96,difference(b,c)),c) = product(product(X_96,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),product(a,b)),product(product(X_96,a),product(c,b))) )],[refute_0_5996,refute_0_5997]) ).

cnf(refute_0_5999,plain,
    product(product(X_96,difference(b,c)),c) = product(product(X_96,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,c),product(a,b))) )],[refute_0_5995,refute_0_5998]) ).

cnf(refute_0_6000,plain,
    product(product(X_96,X_97),difference(X_97,B)) = product(product(X_96,difference(X_97,B)),product(X_97,difference(X_97,B))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(X_97)),bind(X_26,$fot(difference(X_97,B)))]]) ).

cnf(refute_0_6001,plain,
    product(X_97,difference(X_97,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_97))]]) ).

cnf(refute_0_6002,plain,
    ( product(X_97,difference(X_97,B)) != B
    | product(product(X_96,X_97),difference(X_97,B)) != product(product(X_96,difference(X_97,B)),product(X_97,difference(X_97,B)))
    | product(product(X_96,X_97),difference(X_97,B)) = product(product(X_96,difference(X_97,B)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,X_97),difference(X_97,B)),product(product(X_96,difference(X_97,B)),product(X_97,difference(X_97,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_6003,plain,
    ( product(product(X_96,X_97),difference(X_97,B)) != product(product(X_96,difference(X_97,B)),product(X_97,difference(X_97,B)))
    | product(product(X_96,X_97),difference(X_97,B)) = product(product(X_96,difference(X_97,B)),B) ),
    inference(resolve,[$cnf( $equal(product(X_97,difference(X_97,B)),B) )],[refute_0_6001,refute_0_6002]) ).

cnf(refute_0_6004,plain,
    product(product(X_96,X_97),difference(X_97,B)) = product(product(X_96,difference(X_97,B)),B),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_97),difference(X_97,B)),product(product(X_96,difference(X_97,B)),product(X_97,difference(X_97,B)))) )],[refute_0_6000,refute_0_6003]) ).

cnf(refute_0_6005,plain,
    ( product(product(X_96,X_97),difference(X_97,B)) != product(product(X_96,difference(X_97,B)),B)
    | product(product(X_96,difference(X_97,B)),B) = product(product(X_96,X_97),difference(X_97,B)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,X_97),difference(X_97,B)))),bind(Y,$fot(product(product(X_96,difference(X_97,B)),B)))]]) ).

cnf(refute_0_6006,plain,
    product(product(X_96,difference(X_97,B)),B) = product(product(X_96,X_97),difference(X_97,B)),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_97),difference(X_97,B)),product(product(X_96,difference(X_97,B)),B)) )],[refute_0_6004,refute_0_6005]) ).

cnf(refute_0_6007,plain,
    product(product(X_96,difference(b,c)),c) = product(product(X_96,b),difference(b,c)),
    inference(subst,[],[refute_0_6006:[bind(B,$fot(c)),bind(X_97,$fot(b))]]) ).

cnf(refute_0_6008,plain,
    ( product(product(X_96,difference(b,c)),c) != product(product(X_96,a),product(c,b))
    | product(product(X_96,difference(b,c)),c) != product(product(X_96,b),difference(b,c))
    | product(product(X_96,b),difference(b,c)) = product(product(X_96,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,a),product(c,b))) ),[0],$fot(product(product(X_96,b),difference(b,c)))]]) ).

cnf(refute_0_6009,plain,
    ( product(product(X_96,difference(b,c)),c) != product(product(X_96,a),product(c,b))
    | product(product(X_96,b),difference(b,c)) = product(product(X_96,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,b),difference(b,c))) )],[refute_0_6007,refute_0_6008]) ).

cnf(refute_0_6010,plain,
    product(product(X_96,b),difference(b,c)) = product(product(X_96,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),c),product(product(X_96,a),product(c,b))) )],[refute_0_5999,refute_0_6009]) ).

cnf(refute_0_6011,plain,
    product(product(a,b),difference(b,c)) = product(product(a,a),product(c,b)),
    inference(subst,[],[refute_0_6010:[bind(X_96,$fot(a))]]) ).

cnf(refute_0_6012,plain,
    ( product(product(a,a),product(c,b)) != product(c,product(a,quotient(b,c)))
    | product(product(a,b),difference(b,c)) != product(product(a,a),product(c,b))
    | product(product(a,b),difference(b,c)) = product(c,product(a,quotient(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),difference(b,c)))),bind(Y,$fot(product(product(a,a),product(c,b)))),bind(Z,$fot(product(c,product(a,quotient(b,c)))))]]) ).

cnf(refute_0_6013,plain,
    ( product(product(a,a),product(c,b)) != product(c,product(a,quotient(b,c)))
    | product(product(a,b),difference(b,c)) = product(c,product(a,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(product(a,a),product(c,b))) )],[refute_0_6011,refute_0_6012]) ).

cnf(refute_0_6014,plain,
    product(product(a,b),difference(b,c)) = product(c,product(a,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(c,product(a,quotient(b,c)))) )],[refute_0_5991,refute_0_6013]) ).

cnf(refute_0_6015,plain,
    ( product(a,product(c,b)) != product(product(a,b),difference(b,c))
    | product(product(a,b),difference(b,c)) != product(c,product(a,quotient(b,c)))
    | product(a,product(c,b)) = product(c,product(a,quotient(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(c,b)),product(c,product(a,quotient(b,c)))) ),[0],$fot(product(product(a,b),difference(b,c)))]]) ).

cnf(refute_0_6016,plain,
    ( product(a,product(c,b)) != product(product(a,b),difference(b,c))
    | product(a,product(c,b)) = product(c,product(a,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(c,product(a,quotient(b,c)))) )],[refute_0_6014,refute_0_6015]) ).

cnf(refute_0_6017,plain,
    product(a,product(c,b)) = product(c,product(a,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(product(a,b),difference(b,c))) )],[refute_0_5956,refute_0_6016]) ).

cnf(refute_0_6018,plain,
    ( product(a,product(c,b)) != product(c,product(a,quotient(b,c)))
    | product(c,product(a,quotient(b,c))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(c,product(a,quotient(b,c)))))]]) ).

cnf(refute_0_6019,plain,
    product(c,product(a,quotient(b,c))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(c,product(a,quotient(b,c)))) )],[refute_0_6017,refute_0_6018]) ).

cnf(refute_0_6020,plain,
    ( product(c,product(a,quotient(b,c))) != product(a,product(c,b))
    | product(product(a,a),product(c,b)) != product(c,product(a,quotient(b,c)))
    | product(product(a,a),product(c,b)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,a),product(c,b)))),bind(Y,$fot(product(c,product(a,quotient(b,c))))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_6021,plain,
    ( product(c,product(a,quotient(b,c))) != product(a,product(c,b))
    | product(product(a,a),product(c,b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(c,product(a,quotient(b,c)))) )],[refute_0_5991,refute_0_6020]) ).

cnf(refute_0_6022,plain,
    product(product(a,a),product(c,b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,quotient(b,c))),product(a,product(c,b))) )],[refute_0_6019,refute_0_6021]) ).

cnf(refute_0_6023,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(a,b),difference(b,c)) != product(product(a,a),product(c,b))
    | product(product(a,b),difference(b,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),difference(b,c)))),bind(Y,$fot(product(product(a,a),product(c,b)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_6024,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(a,b),difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(product(a,a),product(c,b))) )],[refute_0_6011,refute_0_6023]) ).

cnf(refute_0_6025,plain,
    product(product(a,b),difference(b,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(a,product(c,b))) )],[refute_0_6022,refute_0_6024]) ).

cnf(refute_0_6026,plain,
    ( product(product(X_96,product(a,b)),difference(b,c)) != product(product(X_96,difference(b,c)),product(product(a,b),difference(b,c)))
    | product(product(a,b),difference(b,c)) != product(a,product(c,b))
    | product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,difference(b,c)),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(a,b)),difference(b,c)),product(product(X_96,difference(b,c)),product(product(a,b),difference(b,c)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6027,plain,
    ( product(product(X_96,product(a,b)),difference(b,c)) != product(product(X_96,difference(b,c)),product(product(a,b),difference(b,c)))
    | product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,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_6025,refute_0_6026]) ).

cnf(refute_0_6028,plain,
    product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,difference(b,c)),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(a,b)),difference(b,c)),product(product(X_96,difference(b,c)),product(product(a,b),difference(b,c)))) )],[refute_0_5935,refute_0_6027]) ).

cnf(refute_0_6029,plain,
    product(product(X_96,difference(b,c)),product(a,product(c,b))) = product(product(X_96,a),product(difference(b,c),product(c,b))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_96)),bind(B,$fot(a)),bind(C,$fot(difference(b,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_6030,plain,
    ( product(product(X_96,difference(b,c)),product(a,product(c,b))) != product(product(X_96,a),product(difference(b,c),product(c,b)))
    | product(product(X_96,product(a,b)),difference(b,c)) != product(product(X_96,difference(b,c)),product(a,product(c,b)))
    | product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,a),product(difference(b,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(a,b)),difference(b,c)),product(product(X_96,difference(b,c)),product(a,product(c,b)))) ),[1],$fot(product(product(X_96,a),product(difference(b,c),product(c,b))))]]) ).

cnf(refute_0_6031,plain,
    ( product(product(X_96,product(a,b)),difference(b,c)) != product(product(X_96,difference(b,c)),product(a,product(c,b)))
    | product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,a),product(difference(b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,difference(b,c)),product(a,product(c,b))),product(product(X_96,a),product(difference(b,c),product(c,b)))) )],[refute_0_6029,refute_0_6030]) ).

cnf(refute_0_6032,plain,
    product(product(X_96,product(a,b)),difference(b,c)) = product(product(X_96,a),product(difference(b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(a,b)),difference(b,c)),product(product(X_96,difference(b,c)),product(a,product(c,b)))) )],[refute_0_6028,refute_0_6031]) ).

cnf(refute_0_6033,plain,
    ( product(product(X_96,product(a,b)),difference(b,c)) != product(product(X_96,a),product(difference(b,c),product(c,b)))
    | product(product(X_96,a),product(difference(b,c),product(c,b))) = product(product(X_96,product(a,b)),difference(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,product(a,b)),difference(b,c)))),bind(Y,$fot(product(product(X_96,a),product(difference(b,c),product(c,b)))))]]) ).

cnf(refute_0_6034,plain,
    product(product(X_96,a),product(difference(b,c),product(c,b))) = product(product(X_96,product(a,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(a,b)),difference(b,c)),product(product(X_96,a),product(difference(b,c),product(c,b)))) )],[refute_0_6032,refute_0_6033]) ).

cnf(refute_0_6035,plain,
    product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) = product(product(product(a,product(c,b)),product(a,b)),difference(b,c)),
    inference(subst,[],[refute_0_6034:[bind(X_96,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_6036,plain,
    ( product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) != product(product(product(a,product(c,b)),product(a,b)),difference(b,c))
    | product(product(product(a,product(c,b)),product(a,b)),difference(b,c)) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))))),bind(Y,$fot(product(product(product(a,product(c,b)),product(a,b)),difference(b,c)))),bind(Z,$fot(product(product(product(a,a),product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6037,plain,
    ( product(product(product(a,product(c,b)),product(a,b)),difference(b,c)) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))),product(product(product(a,product(c,b)),product(a,b)),difference(b,c))) )],[refute_0_6035,refute_0_6036]) ).

cnf(refute_0_6038,plain,
    product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(c,b)),product(a,b)),difference(b,c)),product(product(product(a,a),product(product(c,b),b)),difference(b,c))) )],[refute_0_5934,refute_0_6037]) ).

cnf(refute_0_6039,plain,
    product(product(product(a,product(c,b)),B),product(difference(b,c),D)) = product(product(product(a,product(c,b)),difference(b,c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,product(c,b)))),bind(C,$fot(difference(b,c)))]]) ).

cnf(refute_0_6040,plain,
    ( product(product(a,product(c,b)),difference(b,c)) != product(difference(b,c),product(a,product(a,b)))
    | product(product(product(a,product(c,b)),B),product(difference(b,c),D)) != product(product(product(a,product(c,b)),difference(b,c)),product(B,D))
    | product(product(product(a,product(c,b)),B),product(difference(b,c),D)) = product(product(difference(b,c),product(a,product(a,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(c,b)),B),product(difference(b,c),D)),product(product(product(a,product(c,b)),difference(b,c)),product(B,D))) ),[1,0],$fot(product(difference(b,c),product(a,product(a,b))))]]) ).

cnf(refute_0_6041,plain,
    ( product(product(product(a,product(c,b)),B),product(difference(b,c),D)) != product(product(product(a,product(c,b)),difference(b,c)),product(B,D))
    | product(product(product(a,product(c,b)),B),product(difference(b,c),D)) = product(product(difference(b,c),product(a,product(a,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(b,c)),product(difference(b,c),product(a,product(a,b)))) )],[refute_0_5831,refute_0_6040]) ).

cnf(refute_0_6042,plain,
    product(product(product(a,product(c,b)),B),product(difference(b,c),D)) = product(product(difference(b,c),product(a,product(a,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(c,b)),B),product(difference(b,c),D)),product(product(product(a,product(c,b)),difference(b,c)),product(B,D))) )],[refute_0_6039,refute_0_6041]) ).

cnf(refute_0_6043,plain,
    ( product(product(product(a,product(c,b)),B),product(difference(b,c),D)) != product(product(difference(b,c),product(a,product(a,b))),product(B,D))
    | product(product(difference(b,c),product(a,product(a,b))),product(B,D)) = product(product(product(a,product(c,b)),B),product(difference(b,c),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(a,product(c,b)),B),product(difference(b,c),D)))),bind(Y,$fot(product(product(difference(b,c),product(a,product(a,b))),product(B,D))))]]) ).

cnf(refute_0_6044,plain,
    product(product(difference(b,c),product(a,product(a,b))),product(B,D)) = product(product(product(a,product(c,b)),B),product(difference(b,c),D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(c,b)),B),product(difference(b,c),D)),product(product(difference(b,c),product(a,product(a,b))),product(B,D))) )],[refute_0_6042,refute_0_6043]) ).

cnf(refute_0_6045,plain,
    product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))),
    inference(subst,[],[refute_0_6044:[bind(B,$fot(a)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_6046,plain,
    ( product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) != product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b)))
    | product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))))),bind(Y,$fot(product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))))),bind(Z,$fot(product(product(product(a,a),product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6047,plain,
    ( product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))),product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b)))) )],[refute_0_6045,refute_0_6046]) ).

cnf(refute_0_6048,plain,
    product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(product(a,a),product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(c,b)),a),product(difference(b,c),product(c,b))),product(product(product(a,a),product(product(c,b),b)),difference(b,c))) )],[refute_0_6038,refute_0_6047]) ).

cnf(refute_0_6049,plain,
    ( product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) != product(product(product(a,a),product(product(c,b),b)),difference(b,c))
    | product(product(product(a,a),product(product(c,b),b)),difference(b,c)) != product(product(a,product(product(c,b),b)),difference(b,c))
    | product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))))),bind(Y,$fot(product(product(product(a,a),product(product(c,b),b)),difference(b,c)))),bind(Z,$fot(product(product(a,product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6050,plain,
    ( product(product(product(a,a),product(product(c,b),b)),difference(b,c)) != product(product(a,product(product(c,b),b)),difference(b,c))
    | product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))),product(product(product(a,a),product(product(c,b),b)),difference(b,c))) )],[refute_0_6048,refute_0_6049]) ).

cnf(refute_0_6051,plain,
    product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(c,b),b)),difference(b,c)),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_5923,refute_0_6050]) ).

cnf(refute_0_6052,plain,
    ( product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) != product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))
    | product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))),product(product(a,product(product(c,b),b)),difference(b,c))) ),[0],$fot(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))))]]) ).

cnf(refute_0_6053,plain,
    ( product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) != product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))
    | product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b))),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_6051,refute_0_6052]) ).

cnf(refute_0_6054,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))
    | product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))),product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))) )],[refute_0_5915,refute_0_6053]) ).

cnf(refute_0_6055,plain,
    product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,product(a,b))),product(a,product(c,b)))) )],[refute_0_5900,refute_0_6054]) ).

cnf(refute_0_6056,plain,
    ( product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) != product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))))),bind(Y,$fot(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))))),bind(Z,$fot(product(product(a,product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6057,plain,
    ( product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))),product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b)))) )],[refute_0_5901,refute_0_6056]) ).

cnf(refute_0_6058,plain,
    product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),product(difference(b,c),product(c,b))),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_6055,refute_0_6057]) ).

cnf(refute_0_6059,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))))),bind(Z,$fot(product(product(a,product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6060,plain,
    ( product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b)))) )],[refute_0_5910,refute_0_6059]) ).

cnf(refute_0_6061,plain,
    bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(difference(b,c),product(c,b))),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_6058,refute_0_6060]) ).

cnf(refute_0_6062,plain,
    bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))))]]) ).

cnf(refute_0_6063,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) ),[1,2],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6064,plain,
    ( quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) )],[refute_0_6062,refute_0_6063]) ).

cnf(refute_0_6065,plain,
    bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),product(a,product(c,b))) )],[refute_0_5893,refute_0_6064]) ).

cnf(refute_0_6066,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b)))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))))),bind(Y,$fot(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))))),bind(Z,$fot(product(product(a,product(product(c,b),b)),difference(b,c))))]]) ).

cnf(refute_0_6067,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(c,b),b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b)))) )],[refute_0_6065,refute_0_6066]) ).

cnf(refute_0_6068,plain,
    bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(c,b),b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),product(a,product(c,b))),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_6061,refute_0_6067]) ).

cnf(refute_0_6069,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(c,b),b)),difference(b,c))
    | bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | product(product(a,product(product(c,b),b)),difference(b,c)) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) ),[0],$fot(product(product(a,product(product(c,b),b)),difference(b,c)))]]) ).

cnf(refute_0_6070,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | product(product(a,product(product(c,b),b)),difference(b,c)) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(c,b),b)),difference(b,c))) )],[refute_0_6068,refute_0_6069]) ).

cnf(refute_0_6071,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_6072,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_6073,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_6071,refute_0_6072]) ).

cnf(refute_0_6074,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_1833,refute_0_6073]) ).

cnf(refute_0_6075,plain,
    product(a,product(product(c,product(a,b)),b)) = product(a,product(product(c,product(a,b)),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,product(a,b)),b)))]]) ).

cnf(refute_0_6076,plain,
    ( product(a,product(product(c,product(a,b)),b)) != product(a,product(product(c,product(a,b)),b))
    | product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | product(a,product(product(c,product(a,b)),b)) = product(a,product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,product(a,b)),b)),product(a,product(product(c,product(a,b)),b))) ),[1,1],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_6077,plain,
    ( product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | product(a,product(product(c,product(a,b)),b)) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(a,b)),b)),product(a,product(product(c,product(a,b)),b))) )],[refute_0_6075,refute_0_6076]) ).

cnf(refute_0_6078,plain,
    product(a,product(product(c,product(a,b)),b)) = product(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_6074,refute_0_6077]) ).

cnf(refute_0_6079,plain,
    product(product(a,a),product(product(c,product(a,b)),b)) = product(product(a,a),product(product(c,product(a,b)),b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(c,product(a,b)),b)))]]) ).

cnf(refute_0_6080,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,product(a,b)),b)) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(c,product(a,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(c,product(a,b)),b)),product(product(a,a),product(product(c,product(a,b)),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_6081,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(c,product(a,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,product(a,b)),b)),product(product(a,a),product(product(c,product(a,b)),b))) )],[refute_0_6079,refute_0_6080]) ).

cnf(refute_0_6082,plain,
    product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(c,product(a,b)),b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_6081]) ).

cnf(refute_0_6083,plain,
    ( product(a,product(product(c,product(a,b)),b)) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,a),product(product(c,product(a,b)),b)) != product(a,product(product(c,product(a,b)),b))
    | product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(a,product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,a),product(product(c,product(a,b)),b)))),bind(Y,$fot(product(a,product(product(c,product(a,b)),b)))),bind(Z,$fot(product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_6084,plain,
    ( product(a,product(product(c,product(a,b)),b)) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,product(a,b)),b)),product(a,product(product(c,product(a,b)),b))) )],[refute_0_6082,refute_0_6083]) ).

cnf(refute_0_6085,plain,
    product(product(a,a),product(product(c,product(a,b)),b)) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(a,b)),b)),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6078,refute_0_6084]) ).

cnf(refute_0_6086,plain,
    product(product(a,product(c,b)),product(a,product(product(a,b),b))) = product(product(a,a),product(product(c,product(a,b)),b)),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(a)),bind(C,$fot(a)),bind(X_96,$fot(c)),bind(X_97,$fot(product(a,b))),bind(X_98,$fot(b))]]) ).

cnf(refute_0_6087,plain,
    product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(difference(bigC(c,a,b),product(a,c)))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_6088,plain,
    ( product(difference(bigC(c,a,b),product(a,c)),product(a,c)) != product(a,product(c,b))
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(B,D))
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(B,D))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6089,plain,
    ( product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(B,D))
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_368,refute_0_6088]) ).

cnf(refute_0_6090,plain,
    product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(difference(bigC(c,a,b),product(a,c)),product(a,c)),product(B,D))) )],[refute_0_6087,refute_0_6089]) ).

cnf(refute_0_6091,plain,
    product(difference(bigC(c,a,b),product(a,c)),B) = product(difference(bigC(c,a,b),product(a,c)),B),
    introduced(tautology,[refl,[$fot(product(difference(bigC(c,a,b),product(a,c)),B))]]) ).

cnf(refute_0_6092,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),B) != product(difference(bigC(c,a,b),product(a,c)),B)
    | product(difference(bigC(c,a,b),product(a,c)),B) = product(difference(c,product(a,c)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),B),product(difference(bigC(c,a,b),product(a,c)),B)) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_6093,plain,
    ( difference(bigC(c,a,b),product(a,c)) != difference(c,product(a,c))
    | product(difference(bigC(c,a,b),product(a,c)),B) = product(difference(c,product(a,c)),B) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),B),product(difference(bigC(c,a,b),product(a,c)),B)) )],[refute_0_6091,refute_0_6092]) ).

cnf(refute_0_6094,plain,
    product(difference(bigC(c,a,b),product(a,c)),B) = product(difference(c,product(a,c)),B),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(a,c)),difference(c,product(a,c))) )],[refute_0_5696,refute_0_6093]) ).

cnf(refute_0_6095,plain,
    product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),
    introduced(tautology,[refl,[$fot(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)))]]) ).

cnf(refute_0_6096,plain,
    ( product(difference(bigC(c,a,b),product(a,c)),B) != product(difference(c,product(a,c)),B)
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D))
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(difference(c,product(a,c)),B),product(product(a,c),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D))) ),[1,0],$fot(product(difference(c,product(a,c)),B))]]) ).

cnf(refute_0_6097,plain,
    ( product(difference(bigC(c,a,b),product(a,c)),B) != product(difference(c,product(a,c)),B)
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(difference(c,product(a,c)),B),product(product(a,c),D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D))) )],[refute_0_6095,refute_0_6096]) ).

cnf(refute_0_6098,plain,
    product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) = product(product(difference(c,product(a,c)),B),product(product(a,c),D)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,b),product(a,c)),B),product(difference(c,product(a,c)),B)) )],[refute_0_6094,refute_0_6097]) ).

cnf(refute_0_6099,plain,
    ( product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(difference(c,product(a,c)),B),product(product(a,c),D))
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(a,product(c,b)),product(B,D))) ),[0],$fot(product(product(difference(c,product(a,c)),B),product(product(a,c),D)))]]) ).

cnf(refute_0_6100,plain,
    ( product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(difference(c,product(a,c)),B),product(product(a,c),D))) )],[refute_0_6098,refute_0_6099]) ).

cnf(refute_0_6101,plain,
    product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,a,b),product(a,c)),B),product(product(a,c),D)),product(product(a,product(c,b)),product(B,D))) )],[refute_0_6090,refute_0_6100]) ).

cnf(refute_0_6102,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_6103,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_6104,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_6102,refute_0_6103]) ).

cnf(refute_0_6105,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_5722,refute_0_6104]) ).

cnf(refute_0_6106,plain,
    product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(difference(c,product(a,c)),B),product(product(a,c),D)),
    introduced(tautology,[refl,[$fot(product(product(difference(c,product(a,c)),B),product(product(a,c),D)))]]) ).

cnf(refute_0_6107,plain,
    ( product(difference(c,product(a,c)),B) != product(difference(b,c),B)
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) != product(product(difference(c,product(a,c)),B),product(product(a,c),D))
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(difference(b,c),B),product(product(a,c),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(product(a,c),D)),product(product(difference(c,product(a,c)),B),product(product(a,c),D))) ),[1,0],$fot(product(difference(b,c),B))]]) ).

cnf(refute_0_6108,plain,
    ( product(difference(c,product(a,c)),B) != product(difference(b,c),B)
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(difference(b,c),B),product(product(a,c),D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(product(a,c),D)),product(product(difference(c,product(a,c)),B),product(product(a,c),D))) )],[refute_0_6106,refute_0_6107]) ).

cnf(refute_0_6109,plain,
    product(product(difference(c,product(a,c)),B),product(product(a,c),D)) = product(product(difference(b,c),B),product(product(a,c),D)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),B),product(difference(b,c),B)) )],[refute_0_6105,refute_0_6108]) ).

cnf(refute_0_6110,plain,
    ( product(product(difference(c,product(a,c)),B),product(product(a,c),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(difference(c,product(a,c)),B),product(product(a,c),D)) != product(product(difference(b,c),B),product(product(a,c),D))
    | product(product(difference(b,c),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(product(a,c),D)),product(product(a,product(c,b)),product(B,D))) ),[0],$fot(product(product(difference(b,c),B),product(product(a,c),D)))]]) ).

cnf(refute_0_6111,plain,
    ( product(product(difference(c,product(a,c)),B),product(product(a,c),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(difference(b,c),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(product(a,c),D)),product(product(difference(b,c),B),product(product(a,c),D))) )],[refute_0_6109,refute_0_6110]) ).

cnf(refute_0_6112,plain,
    product(product(difference(b,c),B),product(product(a,c),D)) = product(product(a,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(product(a,c),D)),product(product(a,product(c,b)),product(B,D))) )],[refute_0_6101,refute_0_6111]) ).

cnf(refute_0_6113,plain,
    product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) = product(product(a,product(c,b)),product(a,product(product(a,b),b))),
    inference(subst,[],[refute_0_6112:[bind(B,$fot(a)),bind(D,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_6114,plain,
    ( product(product(a,product(c,b)),product(a,product(product(a,b),b))) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) != product(product(a,product(c,b)),product(a,product(product(a,b),b)))
    | product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) = product(product(a,a),product(product(c,product(a,b)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))))),bind(Y,$fot(product(product(a,product(c,b)),product(a,product(product(a,b),b))))),bind(Z,$fot(product(product(a,a),product(product(c,product(a,b)),b))))]]) ).

cnf(refute_0_6115,plain,
    ( product(product(a,product(c,b)),product(a,product(product(a,b),b))) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) = product(product(a,a),product(product(c,product(a,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))),product(product(a,product(c,b)),product(a,product(product(a,b),b)))) )],[refute_0_6113,refute_0_6114]) ).

cnf(refute_0_6116,plain,
    product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) = product(product(a,a),product(product(c,product(a,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(a,product(product(a,b),b))),product(product(a,a),product(product(c,product(a,b)),b))) )],[refute_0_6086,refute_0_6115]) ).

cnf(refute_0_6117,plain,
    product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(a,b))),bind(D,$fot(b)),bind(X_65,$fot(product(difference(b,c),a)))]]) ).

cnf(refute_0_6118,plain,
    ( product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) != product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b)))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(product(a,a),product(product(c,product(a,b)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))))),bind(Y,$fot(product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))))),bind(Z,$fot(product(product(a,a),product(product(c,product(a,b)),b))))]]) ).

cnf(refute_0_6119,plain,
    ( product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(product(a,a),product(product(c,product(a,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))),product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b)))) )],[refute_0_6117,refute_0_6118]) ).

cnf(refute_0_6120,plain,
    product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(product(a,a),product(product(c,product(a,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,c),product(product(a,b),b))),product(product(a,a),product(product(c,product(a,b)),b))) )],[refute_0_6116,refute_0_6119]) ).

cnf(refute_0_6121,plain,
    ( product(product(a,a),product(product(c,product(a,b)),b)) != product(a,product(product(a,product(b,c)),b))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) != product(product(a,a),product(product(c,product(a,b)),b))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))))),bind(Y,$fot(product(product(a,a),product(product(c,product(a,b)),b)))),bind(Z,$fot(product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_6122,plain,
    ( product(product(a,a),product(product(c,product(a,b)),b)) != product(a,product(product(a,product(b,c)),b))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))),product(product(a,a),product(product(c,product(a,b)),b))) )],[refute_0_6120,refute_0_6121]) ).

cnf(refute_0_6123,plain,
    product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,product(a,b)),b)),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6085,refute_0_6122]) ).

cnf(refute_0_6124,plain,
    product(product(difference(b,c),B),product(product(a,product(a,b)),D)) = product(product(difference(b,c),product(a,product(a,b))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(difference(b,c))),bind(C,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_6125,plain,
    ( product(difference(b,c),product(a,product(a,b))) != product(a,product(product(difference(b,c),a),b))
    | product(product(difference(b,c),B),product(product(a,product(a,b)),D)) != product(product(difference(b,c),product(a,product(a,b))),product(B,D))
    | product(product(difference(b,c),B),product(product(a,product(a,b)),D)) = product(product(a,product(product(difference(b,c),a),b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),B),product(product(a,product(a,b)),D)),product(product(difference(b,c),product(a,product(a,b))),product(B,D))) ),[1,0],$fot(product(a,product(product(difference(b,c),a),b)))]]) ).

cnf(refute_0_6126,plain,
    ( product(product(difference(b,c),B),product(product(a,product(a,b)),D)) != product(product(difference(b,c),product(a,product(a,b))),product(B,D))
    | product(product(difference(b,c),B),product(product(a,product(a,b)),D)) = product(product(a,product(product(difference(b,c),a),b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,product(a,b))),product(a,product(product(difference(b,c),a),b))) )],[refute_0_5885,refute_0_6125]) ).

cnf(refute_0_6127,plain,
    product(product(difference(b,c),B),product(product(a,product(a,b)),D)) = product(product(a,product(product(difference(b,c),a),b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(product(a,product(a,b)),D)),product(product(difference(b,c),product(a,product(a,b))),product(B,D))) )],[refute_0_6124,refute_0_6126]) ).

cnf(refute_0_6128,plain,
    ( product(product(difference(b,c),B),product(product(a,product(a,b)),D)) != product(product(a,product(product(difference(b,c),a),b)),product(B,D))
    | product(product(a,product(product(difference(b,c),a),b)),product(B,D)) = product(product(difference(b,c),B),product(product(a,product(a,b)),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(difference(b,c),B),product(product(a,product(a,b)),D)))),bind(Y,$fot(product(product(a,product(product(difference(b,c),a),b)),product(B,D))))]]) ).

cnf(refute_0_6129,plain,
    product(product(a,product(product(difference(b,c),a),b)),product(B,D)) = product(product(difference(b,c),B),product(product(a,product(a,b)),D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(product(a,product(a,b)),D)),product(product(a,product(product(difference(b,c),a),b)),product(B,D))) )],[refute_0_6127,refute_0_6128]) ).

cnf(refute_0_6130,plain,
    product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) = product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))),
    inference(subst,[],[refute_0_6129:[bind(B,$fot(a)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_6131,plain,
    ( product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) != product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b)))
    | product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))))),bind(Y,$fot(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))))),bind(Z,$fot(product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_6132,plain,
    ( product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b)))) )],[refute_0_6130,refute_0_6131]) ).

cnf(refute_0_6133,plain,
    product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,product(a,b)),product(c,b))),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6123,refute_0_6132]) ).

cnf(refute_0_6134,plain,
    product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))))]]) ).

cnf(refute_0_6135,plain,
    ( product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) != product(a,product(c,b))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6136,plain,
    ( quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)) != product(a,product(c,b))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) )],[refute_0_6134,refute_0_6135]) ).

cnf(refute_0_6137,plain,
    product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)),product(a,product(c,b))) )],[refute_0_5893,refute_0_6136]) ).

cnf(refute_0_6138,plain,
    ( product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b)))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))))),bind(Y,$fot(product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))))),bind(Z,$fot(product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_6139,plain,
    ( product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b)))) )],[refute_0_6137,refute_0_6138]) ).

cnf(refute_0_6140,plain,
    product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),product(a,product(c,b))),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6133,refute_0_6139]) ).

cnf(refute_0_6141,plain,
    ( product(product(a,product(product(c,b),b)),difference(b,c)) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(c,b),b)),difference(b,c)) = product(a,product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(product(c,b),b)),difference(b,c)),product(a,product(product(a,product(b,c)),b))) ),[0],$fot(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))))]]) ).

cnf(refute_0_6142,plain,
    ( product(product(a,product(product(c,b),b)),difference(b,c)) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | product(product(a,product(product(c,b),b)),difference(b,c)) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6140,refute_0_6141]) ).

cnf(refute_0_6143,plain,
    ( bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))) != product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))
    | product(product(a,product(product(c,b),b)),difference(b,c)) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(c,b),b)),difference(b,c)),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) )],[refute_0_6070,refute_0_6142]) ).

cnf(refute_0_6144,plain,
    product(product(a,product(product(c,b),b)),difference(b,c)) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),difference(b,c),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c))),product(product(a,product(product(difference(b,c),a),b)),quotient(product(a,product(product(difference(b,c),a),b)),difference(b,c)))) )],[refute_0_5896,refute_0_6143]) ).

cnf(refute_0_6145,plain,
    product(a,product(X_25,quotient(c,a))) = product(product(a,X_25),product(a,quotient(c,a))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(a)),bind(X_26,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6146,plain,
    quotient(product(difference(b,c),a),a) = difference(b,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(difference(b,c))),bind(B,$fot(a))]]) ).

cnf(refute_0_6147,plain,
    ( product(difference(b,c),a) != product(a,c)
    | quotient(product(difference(b,c),a),a) != difference(b,c)
    | quotient(product(a,c),a) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(b,c),a),a),difference(b,c)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_6148,plain,
    ( quotient(product(difference(b,c),a),a) != difference(b,c)
    | quotient(product(a,c),a) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_5347,refute_0_6147]) ).

cnf(refute_0_6149,plain,
    quotient(product(a,c),a) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,c),a),a),difference(b,c)) )],[refute_0_6146,refute_0_6148]) ).

cnf(refute_0_6150,plain,
    quotient(product(a,c),a) = product(a,quotient(c,a)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(a)),bind(X_44,$fot(c))]]) ).

cnf(refute_0_6151,plain,
    ( quotient(product(a,c),a) != difference(b,c)
    | quotient(product(a,c),a) != product(a,quotient(c,a))
    | product(a,quotient(c,a)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),a),difference(b,c)) ),[0],$fot(product(a,quotient(c,a)))]]) ).

cnf(refute_0_6152,plain,
    ( quotient(product(a,c),a) != difference(b,c)
    | product(a,quotient(c,a)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),a),product(a,quotient(c,a))) )],[refute_0_6150,refute_0_6151]) ).

cnf(refute_0_6153,plain,
    product(a,quotient(c,a)) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),a),difference(b,c)) )],[refute_0_6149,refute_0_6152]) ).

cnf(refute_0_6154,plain,
    ( product(a,product(X_25,quotient(c,a))) != product(product(a,X_25),product(a,quotient(c,a)))
    | product(a,quotient(c,a)) != difference(b,c)
    | product(a,product(X_25,quotient(c,a))) = product(product(a,X_25),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(X_25,quotient(c,a))),product(product(a,X_25),product(a,quotient(c,a)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_6155,plain,
    ( product(a,product(X_25,quotient(c,a))) != product(product(a,X_25),product(a,quotient(c,a)))
    | product(a,product(X_25,quotient(c,a))) = product(product(a,X_25),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_6153,refute_0_6154]) ).

cnf(refute_0_6156,plain,
    product(a,product(X_25,quotient(c,a))) = product(product(a,X_25),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(X_25,quotient(c,a))),product(product(a,X_25),product(a,quotient(c,a)))) )],[refute_0_6145,refute_0_6155]) ).

cnf(refute_0_6157,plain,
    ( product(a,product(X_25,quotient(c,a))) != product(product(a,X_25),difference(b,c))
    | product(product(a,X_25),difference(b,c)) = product(a,product(X_25,quotient(c,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(X_25,quotient(c,a))))),bind(Y,$fot(product(product(a,X_25),difference(b,c))))]]) ).

cnf(refute_0_6158,plain,
    product(product(a,X_25),difference(b,c)) = product(a,product(X_25,quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(a,product(X_25,quotient(c,a))),product(product(a,X_25),difference(b,c))) )],[refute_0_6156,refute_0_6157]) ).

cnf(refute_0_6159,plain,
    product(product(a,product(product(c,b),b)),difference(b,c)) = product(a,product(product(product(c,b),b),quotient(c,a))),
    inference(subst,[],[refute_0_6158:[bind(X_25,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_6160,plain,
    ( product(product(a,product(product(c,b),b)),difference(b,c)) != product(a,product(product(a,product(b,c)),b))
    | product(product(a,product(product(c,b),b)),difference(b,c)) != product(a,product(product(product(c,b),b),quotient(c,a)))
    | product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(c,b),b)),difference(b,c)),product(a,product(product(a,product(b,c)),b))) ),[0],$fot(product(a,product(product(product(c,b),b),quotient(c,a))))]]) ).

cnf(refute_0_6161,plain,
    ( product(product(a,product(product(c,b),b)),difference(b,c)) != product(a,product(product(a,product(b,c)),b))
    | product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(c,b),b)),difference(b,c)),product(a,product(product(product(c,b),b),quotient(c,a)))) )],[refute_0_6159,refute_0_6160]) ).

cnf(refute_0_6162,plain,
    product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(c,b),b)),difference(b,c)),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6144,refute_0_6161]) ).

cnf(refute_0_6163,plain,
    product(product(product(c,b),X_24),quotient(c,a)) = product(product(product(c,b),quotient(c,a)),product(X_24,quotient(c,a))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(c,b))),bind(X_26,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6164,plain,
    difference(a,product(a,product(product(c,b),quotient(c,a)))) = product(product(c,b),quotient(c,a)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(c,b),quotient(c,a))))]]) ).

cnf(refute_0_6165,plain,
    product(product(difference(b,c),a),b) = product(product(difference(b,c),a),b),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),a),b))]]) ).

cnf(refute_0_6166,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),b) != product(product(difference(b,c),a),b)
    | product(product(difference(b,c),a),b) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),a),b),product(product(difference(b,c),a),b)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_6167,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),b) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),b),product(product(difference(b,c),a),b)) )],[refute_0_6165,refute_0_6166]) ).

cnf(refute_0_6168,plain,
    product(product(difference(b,c),a),b) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_5347,refute_0_6167]) ).

cnf(refute_0_6169,plain,
    product(a,product(product(difference(b,c),a),b)) = product(a,product(product(difference(b,c),a),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(difference(b,c),a),b)))]]) ).

cnf(refute_0_6170,plain,
    ( product(a,product(product(difference(b,c),a),b)) != product(a,product(product(difference(b,c),a),b))
    | product(product(difference(b,c),a),b) != product(product(a,c),b)
    | product(a,product(product(difference(b,c),a),b)) = product(a,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(a,product(product(difference(b,c),a),b))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_6171,plain,
    ( product(product(difference(b,c),a),b) != product(product(a,c),b)
    | product(a,product(product(difference(b,c),a),b)) = product(a,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(a,product(product(difference(b,c),a),b))) )],[refute_0_6169,refute_0_6170]) ).

cnf(refute_0_6172,plain,
    product(a,product(product(difference(b,c),a),b)) = product(a,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),b),product(product(a,c),b)) )],[refute_0_6168,refute_0_6171]) ).

cnf(refute_0_6173,plain,
    ( product(a,product(product(difference(b,c),a),b)) != product(a,product(product(a,c),b))
    | product(a,product(product(difference(b,c),a),b)) != product(product(a,product(c,b)),difference(b,c))
    | product(a,product(product(a,c),b)) = product(product(a,product(c,b)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(product(a,product(c,b)),difference(b,c))) ),[0],$fot(product(a,product(product(a,c),b)))]]) ).

cnf(refute_0_6174,plain,
    ( product(a,product(product(difference(b,c),a),b)) != product(product(a,product(c,b)),difference(b,c))
    | product(a,product(product(a,c),b)) = product(product(a,product(c,b)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(a,product(product(a,c),b))) )],[refute_0_6172,refute_0_6173]) ).

cnf(refute_0_6175,plain,
    product(a,product(product(a,c),b)) = product(product(a,product(c,b)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(difference(b,c),a),b)),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_5888,refute_0_6174]) ).

cnf(refute_0_6176,plain,
    product(product(a,product(c,b)),difference(b,c)) = product(a,product(product(c,b),quotient(c,a))),
    inference(subst,[],[refute_0_6158:[bind(X_25,$fot(product(c,b)))]]) ).

cnf(refute_0_6177,plain,
    ( product(a,product(product(a,c),b)) != product(product(a,product(c,b)),difference(b,c))
    | product(product(a,product(c,b)),difference(b,c)) != product(a,product(product(c,b),quotient(c,a)))
    | product(a,product(product(a,c),b)) = product(a,product(product(c,b),quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(product(a,c),b)),product(a,product(product(c,b),quotient(c,a)))) ),[0],$fot(product(product(a,product(c,b)),difference(b,c)))]]) ).

cnf(refute_0_6178,plain,
    ( product(a,product(product(a,c),b)) != product(product(a,product(c,b)),difference(b,c))
    | product(a,product(product(a,c),b)) = product(a,product(product(c,b),quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(b,c)),product(a,product(product(c,b),quotient(c,a)))) )],[refute_0_6176,refute_0_6177]) ).

cnf(refute_0_6179,plain,
    product(a,product(product(a,c),b)) = product(a,product(product(c,b),quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,c),b)),product(product(a,product(c,b)),difference(b,c))) )],[refute_0_6175,refute_0_6178]) ).

cnf(refute_0_6180,plain,
    ( product(a,product(product(a,c),b)) != product(a,product(product(c,b),quotient(c,a)))
    | product(a,product(product(c,b),quotient(c,a))) = product(a,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(product(a,c),b)))),bind(Y,$fot(product(a,product(product(c,b),quotient(c,a)))))]]) ).

cnf(refute_0_6181,plain,
    product(a,product(product(c,b),quotient(c,a))) = product(a,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,c),b)),product(a,product(product(c,b),quotient(c,a)))) )],[refute_0_6179,refute_0_6180]) ).

cnf(refute_0_6182,plain,
    ( difference(a,product(a,product(product(c,b),quotient(c,a)))) != product(product(c,b),quotient(c,a))
    | product(a,product(product(c,b),quotient(c,a))) != product(a,product(product(a,c),b))
    | difference(a,product(a,product(product(a,c),b))) = product(product(c,b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(c,b),quotient(c,a)))),product(product(c,b),quotient(c,a))) ),[0,1],$fot(product(a,product(product(a,c),b)))]]) ).

cnf(refute_0_6183,plain,
    ( difference(a,product(a,product(product(c,b),quotient(c,a)))) != product(product(c,b),quotient(c,a))
    | difference(a,product(a,product(product(a,c),b))) = product(product(c,b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,b),quotient(c,a))),product(a,product(product(a,c),b))) )],[refute_0_6181,refute_0_6182]) ).

cnf(refute_0_6184,plain,
    difference(a,product(a,product(product(a,c),b))) = product(product(c,b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(c,b),quotient(c,a)))),product(product(c,b),quotient(c,a))) )],[refute_0_6164,refute_0_6183]) ).

cnf(refute_0_6185,plain,
    difference(a,product(a,product(product(a,c),b))) = product(product(a,c),b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_6186,plain,
    ( difference(a,product(a,product(product(a,c),b))) != product(product(a,c),b)
    | difference(a,product(a,product(product(a,c),b))) != product(product(c,b),quotient(c,a))
    | product(product(a,c),b) = product(product(c,b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(a,c),b))),product(product(c,b),quotient(c,a))) ),[0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_6187,plain,
    ( difference(a,product(a,product(product(a,c),b))) != product(product(c,b),quotient(c,a))
    | product(product(a,c),b) = product(product(c,b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(a,c),b))),product(product(a,c),b)) )],[refute_0_6185,refute_0_6186]) ).

cnf(refute_0_6188,plain,
    product(product(a,c),b) = product(product(c,b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(a,c),b))),product(product(c,b),quotient(c,a))) )],[refute_0_6184,refute_0_6187]) ).

cnf(refute_0_6189,plain,
    ( product(product(a,c),b) != product(product(c,b),quotient(c,a))
    | product(product(c,b),quotient(c,a)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,c),b))),bind(Y,$fot(product(product(c,b),quotient(c,a))))]]) ).

cnf(refute_0_6190,plain,
    product(product(c,b),quotient(c,a)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(product(c,b),quotient(c,a))) )],[refute_0_6188,refute_0_6189]) ).

cnf(refute_0_6191,plain,
    ( product(product(c,b),quotient(c,a)) != product(product(a,c),b)
    | product(product(product(c,b),X_24),quotient(c,a)) != product(product(product(c,b),quotient(c,a)),product(X_24,quotient(c,a)))
    | product(product(product(c,b),X_24),quotient(c,a)) = product(product(product(a,c),b),product(X_24,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),X_24),quotient(c,a)),product(product(product(c,b),quotient(c,a)),product(X_24,quotient(c,a)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_6192,plain,
    ( product(product(product(c,b),X_24),quotient(c,a)) != product(product(product(c,b),quotient(c,a)),product(X_24,quotient(c,a)))
    | product(product(product(c,b),X_24),quotient(c,a)) = product(product(product(a,c),b),product(X_24,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(c,a)),product(product(a,c),b)) )],[refute_0_6190,refute_0_6191]) ).

cnf(refute_0_6193,plain,
    product(product(product(c,b),X_24),quotient(c,a)) = product(product(product(a,c),b),product(X_24,quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_24),quotient(c,a)),product(product(product(c,b),quotient(c,a)),product(X_24,quotient(c,a)))) )],[refute_0_6163,refute_0_6192]) ).

cnf(refute_0_6194,plain,
    ( product(product(X_96,X_25),bigC(X_98,X_98,X_97)) != product(product(X_96,X_25),bigC(X_98,X_97,X_98))
    | product(product(X_96,X_25),bigC(X_98,X_97,X_98)) = product(product(X_96,X_25),bigC(X_98,X_98,X_97)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,X_25),bigC(X_98,X_98,X_97)))),bind(Y,$fot(product(product(X_96,X_25),bigC(X_98,X_97,X_98))))]]) ).

cnf(refute_0_6195,plain,
    product(product(X_96,X_25),bigC(X_98,X_97,X_98)) = product(product(X_96,X_25),bigC(X_98,X_98,X_97)),
    inference(resolve,[$cnf( $equal(product(product(X_96,X_25),bigC(X_98,X_98,X_97)),product(product(X_96,X_25),bigC(X_98,X_97,X_98))) )],[refute_0_5051,refute_0_6194]) ).

cnf(refute_0_6196,plain,
    product(product(a,X_24),bigC(b,c,b)) = product(product(a,X_24),bigC(b,b,c)),
    inference(subst,[],[refute_0_6195:[bind(X_25,$fot(X_24)),bind(X_96,$fot(a)),bind(X_97,$fot(c)),bind(X_98,$fot(b))]]) ).

cnf(refute_0_6197,plain,
    product(product(a,product(b,c)),product(X_24,b)) = product(product(a,X_24),bigC(b,c,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(c)),bind(X_23,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_6198,plain,
    ( product(product(a,X_24),bigC(b,c,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(a,product(b,c)),product(X_24,b)) != product(product(a,X_24),bigC(b,c,b))
    | product(product(a,product(b,c)),product(X_24,b)) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),product(X_24,b)))),bind(Y,$fot(product(product(a,X_24),bigC(b,c,b)))),bind(Z,$fot(product(product(a,X_24),bigC(b,b,c))))]]) ).

cnf(refute_0_6199,plain,
    ( product(product(a,X_24),bigC(b,c,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(a,product(b,c)),product(X_24,b)) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(X_24,b)),product(product(a,X_24),bigC(b,c,b))) )],[refute_0_6197,refute_0_6198]) ).

cnf(refute_0_6200,plain,
    product(product(a,product(b,c)),product(X_24,b)) = product(product(a,X_24),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,X_24),bigC(b,c,b)),product(product(a,X_24),bigC(b,b,c))) )],[refute_0_6196,refute_0_6199]) ).

cnf(refute_0_6201,plain,
    product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(product(a,c),bigC(c,a,b)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,c))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_6202,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) != product(product(product(a,c),bigC(c,a,b)),product(B,D))
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(product(a,c),bigC(c,a,b)),product(B,D))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6203,plain,
    ( product(product(product(a,c),B),product(bigC(c,a,b),D)) != product(product(product(a,c),bigC(c,a,b)),product(B,D))
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_6202]) ).

cnf(refute_0_6204,plain,
    product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(product(a,c),bigC(c,a,b)),product(B,D))) )],[refute_0_6201,refute_0_6203]) ).

cnf(refute_0_6205,plain,
    product(bigC(c,a,b),D) = product(bigC(c,a,b),D),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),D))]]) ).

cnf(refute_0_6206,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),D) != product(bigC(c,a,b),D)
    | product(bigC(c,a,b),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),D),product(bigC(c,a,b),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6207,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),D),product(bigC(c,a,b),D)) )],[refute_0_6205,refute_0_6206]) ).

cnf(refute_0_6208,plain,
    product(bigC(c,a,b),D) = product(c,D),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_6207]) ).

cnf(refute_0_6209,plain,
    product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(product(a,c),B),product(bigC(c,a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),B),product(bigC(c,a,b),D)))]]) ).

cnf(refute_0_6210,plain,
    ( product(bigC(c,a,b),D) != product(c,D)
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) != product(product(product(a,c),B),product(bigC(c,a,b),D))
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(product(a,c),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(product(a,c),B),product(bigC(c,a,b),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_6211,plain,
    ( product(bigC(c,a,b),D) != product(c,D)
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(product(a,c),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(product(a,c),B),product(bigC(c,a,b),D))) )],[refute_0_6209,refute_0_6210]) ).

cnf(refute_0_6212,plain,
    product(product(product(a,c),B),product(bigC(c,a,b),D)) = product(product(product(a,c),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),D),product(c,D)) )],[refute_0_6208,refute_0_6211]) ).

cnf(refute_0_6213,plain,
    ( product(product(product(a,c),B),product(bigC(c,a,b),D)) != product(product(a,product(b,c)),product(B,D))
    | product(product(product(a,c),B),product(bigC(c,a,b),D)) != product(product(product(a,c),B),product(c,D))
    | product(product(product(a,c),B),product(c,D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(a,product(b,c)),product(B,D))) ),[0],$fot(product(product(product(a,c),B),product(c,D)))]]) ).

cnf(refute_0_6214,plain,
    ( product(product(product(a,c),B),product(bigC(c,a,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)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(bigC(c,a,b),D)),product(product(product(a,c),B),product(c,D))) )],[refute_0_6212,refute_0_6213]) ).

cnf(refute_0_6215,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(bigC(c,a,b),D)),product(product(a,product(b,c)),product(B,D))) )],[refute_0_6204,refute_0_6214]) ).

cnf(refute_0_6216,plain,
    product(product(product(a,c),X_24),product(c,b)) = product(product(a,product(b,c)),product(X_24,b)),
    inference(subst,[],[refute_0_6215:[bind(B,$fot(X_24)),bind(D,$fot(b))]]) ).

cnf(refute_0_6217,plain,
    ( product(product(a,product(b,c)),product(X_24,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(product(a,c),X_24),product(c,b)) != product(product(a,product(b,c)),product(X_24,b))
    | product(product(product(a,c),X_24),product(c,b)) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),X_24),product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),product(X_24,b)))),bind(Z,$fot(product(product(a,X_24),bigC(b,b,c))))]]) ).

cnf(refute_0_6218,plain,
    ( product(product(a,product(b,c)),product(X_24,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(product(a,c),X_24),product(c,b)) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_24),product(c,b)),product(product(a,product(b,c)),product(X_24,b))) )],[refute_0_6216,refute_0_6217]) ).

cnf(refute_0_6219,plain,
    product(product(product(a,c),X_24),product(c,b)) = product(product(a,X_24),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(X_24,b)),product(product(a,X_24),bigC(b,b,c))) )],[refute_0_6200,refute_0_6218]) ).

cnf(refute_0_6220,plain,
    product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(b)),bind(D,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6221,plain,
    product(quotient(product(c,b),quotient(c,a)),quotient(c,a)) = product(c,b),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(c,b))),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6222,plain,
    quotient(product(quotient(c,a),c),quotient(c,a)) = product(quotient(c,a),quotient(c,quotient(c,a))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(quotient(c,a))),bind(X_44,$fot(c))]]) ).

cnf(refute_0_6223,plain,
    difference(a,product(a,product(quotient(c,a),c))) = product(quotient(c,a),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(quotient(c,a),c)))]]) ).

cnf(refute_0_6224,plain,
    product(a,product(quotient(c,a),X_26)) = product(product(a,quotient(c,a)),product(a,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(a)),bind(X_25,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6225,plain,
    ( product(a,product(quotient(c,a),X_26)) != product(product(a,quotient(c,a)),product(a,X_26))
    | product(a,quotient(c,a)) != difference(b,c)
    | product(a,product(quotient(c,a),X_26)) = product(difference(b,c),product(a,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(quotient(c,a),X_26)),product(product(a,quotient(c,a)),product(a,X_26))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_6226,plain,
    ( product(a,product(quotient(c,a),X_26)) != product(product(a,quotient(c,a)),product(a,X_26))
    | product(a,product(quotient(c,a),X_26)) = product(difference(b,c),product(a,X_26)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_6153,refute_0_6225]) ).

cnf(refute_0_6227,plain,
    product(a,product(quotient(c,a),X_26)) = product(difference(b,c),product(a,X_26)),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,a),X_26)),product(product(a,quotient(c,a)),product(a,X_26))) )],[refute_0_6224,refute_0_6226]) ).

cnf(refute_0_6228,plain,
    ( product(a,product(quotient(c,a),X_26)) != product(difference(b,c),product(a,X_26))
    | product(difference(b,c),product(a,X_26)) = product(a,product(quotient(c,a),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(quotient(c,a),X_26)))),bind(Y,$fot(product(difference(b,c),product(a,X_26))))]]) ).

cnf(refute_0_6229,plain,
    product(difference(b,c),product(a,X_26)) = product(a,product(quotient(c,a),X_26)),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,a),X_26)),product(difference(b,c),product(a,X_26))) )],[refute_0_6227,refute_0_6228]) ).

cnf(refute_0_6230,plain,
    product(difference(b,c),product(a,c)) = product(a,product(quotient(c,a),c)),
    inference(subst,[],[refute_0_6229:[bind(X_26,$fot(c))]]) ).

cnf(refute_0_6231,plain,
    ( product(a,product(c,b)) != product(difference(b,c),product(a,c))
    | product(difference(b,c),product(a,c)) != 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(difference(b,c),product(a,c)))]]) ).

cnf(refute_0_6232,plain,
    ( product(a,product(c,b)) != product(difference(b,c),product(a,c))
    | product(a,product(c,b)) = product(a,product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,c)),product(a,product(quotient(c,a),c))) )],[refute_0_6230,refute_0_6231]) ).

cnf(refute_0_6233,plain,
    product(a,product(c,b)) = product(a,product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(difference(b,c),product(a,c))) )],[refute_0_5796,refute_0_6232]) ).

cnf(refute_0_6234,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_16:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(a,product(quotient(c,a),c))))]]) ).

cnf(refute_0_6235,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_6233,refute_0_6234]) ).

cnf(refute_0_6236,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_6237,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_6235,refute_0_6236]) ).

cnf(refute_0_6238,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_6223,refute_0_6237]) ).

cnf(refute_0_6239,plain,
    difference(a,product(a,product(c,b))) = product(c,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_6240,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_6241,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_6239,refute_0_6240]) ).

cnf(refute_0_6242,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_6238,refute_0_6241]) ).

cnf(refute_0_6243,plain,
    ( product(c,b) != product(quotient(c,a),c)
    | product(quotient(c,a),c) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(quotient(c,a),c)))]]) ).

cnf(refute_0_6244,plain,
    product(quotient(c,a),c) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(quotient(c,a),c)) )],[refute_0_6242,refute_0_6243]) ).

cnf(refute_0_6245,plain,
    ( product(quotient(c,a),c) != product(c,b)
    | quotient(product(quotient(c,a),c),quotient(c,a)) != product(quotient(c,a),quotient(c,quotient(c,a)))
    | quotient(product(c,b),quotient(c,a)) = product(quotient(c,a),quotient(c,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(c,a),c),quotient(c,a)),product(quotient(c,a),quotient(c,quotient(c,a)))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_6246,plain,
    ( quotient(product(quotient(c,a),c),quotient(c,a)) != product(quotient(c,a),quotient(c,quotient(c,a)))
    | quotient(product(c,b),quotient(c,a)) = product(quotient(c,a),quotient(c,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_6244,refute_0_6245]) ).

cnf(refute_0_6247,plain,
    quotient(product(c,b),quotient(c,a)) = product(quotient(c,a),quotient(c,quotient(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,a),c),quotient(c,a)),product(quotient(c,a),quotient(c,quotient(c,a)))) )],[refute_0_6222,refute_0_6246]) ).

cnf(refute_0_6248,plain,
    quotient(product(difference(b,product(c,b)),c),difference(b,product(c,b))) = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(difference(b,product(c,b)))),bind(X_44,$fot(c))]]) ).

cnf(refute_0_6249,plain,
    ( product(difference(b,product(c,b)),c) != product(c,b)
    | quotient(product(difference(b,product(c,b)),c),difference(b,product(c,b))) != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | quotient(product(c,b),difference(b,product(c,b))) = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(b,product(c,b)),c),difference(b,product(c,b))),product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_6250,plain,
    ( quotient(product(difference(b,product(c,b)),c),difference(b,product(c,b))) != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | quotient(product(c,b),difference(b,product(c,b))) = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),c),product(c,b)) )],[refute_0_4373,refute_0_6249]) ).

cnf(refute_0_6251,plain,
    quotient(product(c,b),difference(b,product(c,b))) = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,product(c,b)),c),difference(b,product(c,b))),product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))) )],[refute_0_6248,refute_0_6250]) ).

cnf(refute_0_6252,plain,
    quotient(product(c,b),difference(b,product(c,b))) = b,
    inference(subst,[],[refute_0_63:[bind(A,$fot(b)),bind(X_8,$fot(product(c,b)))]]) ).

cnf(refute_0_6253,plain,
    ( quotient(product(c,b),difference(b,product(c,b))) != b
    | quotient(product(c,b),difference(b,product(c,b))) != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | b = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(b,product(c,b))),product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))) ),[0],$fot(b)]]) ).

cnf(refute_0_6254,plain,
    ( quotient(product(c,b),difference(b,product(c,b))) != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | b = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(b,product(c,b))),b) )],[refute_0_6252,refute_0_6253]) ).

cnf(refute_0_6255,plain,
    b = product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(b,product(c,b))),product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))) )],[refute_0_6251,refute_0_6254]) ).

cnf(refute_0_6256,plain,
    quotient(product(product(difference(b,product(c,b)),X_102),c),c) = product(difference(b,product(c,b)),X_102),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(difference(b,product(c,b)),X_102))),bind(B,$fot(c))]]) ).

cnf(refute_0_6257,plain,
    product(product(difference(b,product(c,b)),X_97),c) = product(product(difference(b,product(c,b)),c),product(X_97,c)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(difference(b,product(c,b)))),bind(X_24,$fot(X_97)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6258,plain,
    ( product(difference(b,product(c,b)),c) != product(c,b)
    | product(product(difference(b,product(c,b)),X_97),c) != product(product(difference(b,product(c,b)),c),product(X_97,c))
    | product(product(difference(b,product(c,b)),X_97),c) = product(product(c,b),product(X_97,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,product(c,b)),X_97),c),product(product(difference(b,product(c,b)),c),product(X_97,c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_6259,plain,
    ( product(product(difference(b,product(c,b)),X_97),c) != product(product(difference(b,product(c,b)),c),product(X_97,c))
    | product(product(difference(b,product(c,b)),X_97),c) = product(product(c,b),product(X_97,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),c),product(c,b)) )],[refute_0_4373,refute_0_6258]) ).

cnf(refute_0_6260,plain,
    product(product(difference(b,product(c,b)),X_97),c) = product(product(c,b),product(X_97,c)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,product(c,b)),X_97),c),product(product(difference(b,product(c,b)),c),product(X_97,c))) )],[refute_0_6257,refute_0_6259]) ).

cnf(refute_0_6261,plain,
    product(product(c,b),product(X_97,c)) = bigC(c,b,X_97),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(X_97))]]) ).

cnf(refute_0_6262,plain,
    ( product(product(c,b),product(X_97,c)) != bigC(c,b,X_97)
    | product(product(difference(b,product(c,b)),X_97),c) != product(product(c,b),product(X_97,c))
    | product(product(difference(b,product(c,b)),X_97),c) = bigC(c,b,X_97) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,product(c,b)),X_97),c),product(product(c,b),product(X_97,c))) ),[1],$fot(bigC(c,b,X_97))]]) ).

cnf(refute_0_6263,plain,
    ( product(product(difference(b,product(c,b)),X_97),c) != product(product(c,b),product(X_97,c))
    | product(product(difference(b,product(c,b)),X_97),c) = bigC(c,b,X_97) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_97,c)),bigC(c,b,X_97)) )],[refute_0_6261,refute_0_6262]) ).

cnf(refute_0_6264,plain,
    product(product(difference(b,product(c,b)),X_97),c) = bigC(c,b,X_97),
    inference(resolve,[$cnf( $equal(product(product(difference(b,product(c,b)),X_97),c),product(product(c,b),product(X_97,c))) )],[refute_0_6260,refute_0_6263]) ).

cnf(refute_0_6265,plain,
    product(product(difference(b,product(c,b)),X_102),c) = bigC(c,b,X_102),
    inference(subst,[],[refute_0_6264:[bind(X_97,$fot(X_102))]]) ).

cnf(refute_0_6266,plain,
    ( product(product(difference(b,product(c,b)),X_102),c) != bigC(c,b,X_102)
    | quotient(product(product(difference(b,product(c,b)),X_102),c),c) != product(difference(b,product(c,b)),X_102)
    | quotient(bigC(c,b,X_102),c) = product(difference(b,product(c,b)),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(difference(b,product(c,b)),X_102),c),c),product(difference(b,product(c,b)),X_102)) ),[0,0],$fot(bigC(c,b,X_102))]]) ).

cnf(refute_0_6267,plain,
    ( quotient(product(product(difference(b,product(c,b)),X_102),c),c) != product(difference(b,product(c,b)),X_102)
    | quotient(bigC(c,b,X_102),c) = product(difference(b,product(c,b)),X_102) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,product(c,b)),X_102),c),bigC(c,b,X_102)) )],[refute_0_6265,refute_0_6266]) ).

cnf(refute_0_6268,plain,
    quotient(bigC(c,b,X_102),c) = product(difference(b,product(c,b)),X_102),
    inference(resolve,[$cnf( $equal(quotient(product(product(difference(b,product(c,b)),X_102),c),c),product(difference(b,product(c,b)),X_102)) )],[refute_0_6256,refute_0_6267]) ).

cnf(refute_0_6269,plain,
    ( quotient(bigC(c,b,X_102),c) != product(difference(b,product(c,b)),X_102)
    | product(difference(b,product(c,b)),X_102) = quotient(bigC(c,b,X_102),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(bigC(c,b,X_102),c))),bind(Y,$fot(product(difference(b,product(c,b)),X_102)))]]) ).

cnf(refute_0_6270,plain,
    product(difference(b,product(c,b)),X_102) = quotient(bigC(c,b,X_102),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,X_102),c),product(difference(b,product(c,b)),X_102)) )],[refute_0_6268,refute_0_6269]) ).

cnf(refute_0_6271,plain,
    product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) = quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),
    inference(subst,[],[refute_0_6270:[bind(X_102,$fot(quotient(c,difference(b,product(c,b)))))]]) ).

cnf(refute_0_6272,plain,
    ( b != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))) != quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)
    | b = quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(b,quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)) ),[0],$fot(product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))))]]) ).

cnf(refute_0_6273,plain,
    ( b != product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))
    | b = quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b)))),quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)) )],[refute_0_6271,refute_0_6272]) ).

cnf(refute_0_6274,plain,
    b = quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),
    inference(resolve,[$cnf( $equal(b,product(difference(b,product(c,b)),quotient(c,difference(b,product(c,b))))) )],[refute_0_6255,refute_0_6273]) ).

cnf(refute_0_6275,plain,
    product(product(product(a,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = quotient(c,a),
    inference(subst,[],[refute_0_11:[bind(A,$fot(a)),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6276,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(product(a,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != quotient(c,a)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),quotient(c,a)) ),[0,0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_6277,plain,
    ( product(product(product(a,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != quotient(c,a)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_6153,refute_0_6276]) ).

cnf(refute_0_6278,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(a,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),quotient(c,a)) )],[refute_0_6275,refute_0_6277]) ).

cnf(refute_0_6279,plain,
    product(quotient(c,a),a) = c,
    inference(subst,[],[refute_0_52:[bind(A,$fot(c)),bind(B,$fot(a))]]) ).

cnf(refute_0_6280,plain,
    product(quotient(c,a),product(quotient(c,a),a)) = product(quotient(c,a),product(quotient(c,a),a)),
    introduced(tautology,[refl,[$fot(product(quotient(c,a),product(quotient(c,a),a)))]]) ).

cnf(refute_0_6281,plain,
    ( product(quotient(c,a),a) != c
    | product(quotient(c,a),product(quotient(c,a),a)) != product(quotient(c,a),product(quotient(c,a),a))
    | product(quotient(c,a),product(quotient(c,a),a)) = product(quotient(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),a)),product(quotient(c,a),product(quotient(c,a),a))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6282,plain,
    ( product(quotient(c,a),a) != c
    | product(quotient(c,a),product(quotient(c,a),a)) = product(quotient(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),a)),product(quotient(c,a),product(quotient(c,a),a))) )],[refute_0_6280,refute_0_6281]) ).

cnf(refute_0_6283,plain,
    product(quotient(c,a),product(quotient(c,a),a)) = product(quotient(c,a),c),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),a),c) )],[refute_0_6279,refute_0_6282]) ).

cnf(refute_0_6284,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))))]]) ).

cnf(refute_0_6285,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a)))
    | product(quotient(c,a),product(quotient(c,a),a)) != product(quotient(c,a),c)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a)))) ),[1,1],$fot(product(quotient(c,a),c))]]) ).

cnf(refute_0_6286,plain,
    ( product(quotient(c,a),product(quotient(c,a),a)) != product(quotient(c,a),c)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a)))) )],[refute_0_6284,refute_0_6285]) ).

cnf(refute_0_6287,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) = product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),a)),product(quotient(c,a),c)) )],[refute_0_6283,refute_0_6286]) ).

cnf(refute_0_6288,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c))
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != quotient(c,a)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),quotient(c,a)) ),[0],$fot(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)))]]) ).

cnf(refute_0_6289,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))) != quotient(c,a)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c))) )],[refute_0_6287,refute_0_6288]) ).

cnf(refute_0_6290,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),a))),quotient(c,a)) )],[refute_0_6278,refute_0_6289]) ).

cnf(refute_0_6291,plain,
    product(difference(b,c),product(b,b)) = product(difference(b,c),product(b,b)),
    introduced(tautology,[refl,[$fot(product(difference(b,c),product(b,b)))]]) ).

cnf(refute_0_6292,plain,
    ( product(b,b) != b
    | product(difference(b,c),product(b,b)) != product(difference(b,c),product(b,b))
    | product(difference(b,c),product(b,b)) = product(difference(b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),product(b,b)),product(difference(b,c),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_6293,plain,
    ( product(b,b) != b
    | product(difference(b,c),product(b,b)) = product(difference(b,c),b) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(b,b)),product(difference(b,c),product(b,b))) )],[refute_0_6291,refute_0_6292]) ).

cnf(refute_0_6294,plain,
    product(difference(b,c),product(b,b)) = product(difference(b,c),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_6293]) ).

cnf(refute_0_6295,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(difference(b,c),product(b,b)) != product(difference(b,c),b)
    | product(difference(b,c),product(b,b)) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(b,c),product(b,b)))),bind(Y,$fot(product(difference(b,c),b))),bind(Z,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_6296,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(difference(b,c),product(b,b)) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(b,b)),product(difference(b,c),b)) )],[refute_0_6294,refute_0_6295]) ).

cnf(refute_0_6297,plain,
    product(difference(b,c),product(b,b)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),difference(b,product(c,b))) )],[refute_0_4217,refute_0_6296]) ).

cnf(refute_0_6298,plain,
    product(product(a,B),product(quotient(c,a),D)) = product(product(a,quotient(c,a)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(a)),bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_6299,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(a,B),product(quotient(c,a),D)) != product(product(a,quotient(c,a)),product(B,D))
    | product(product(a,B),product(quotient(c,a),D)) = product(difference(b,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(quotient(c,a),D)),product(product(a,quotient(c,a)),product(B,D))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_6300,plain,
    ( product(product(a,B),product(quotient(c,a),D)) != product(product(a,quotient(c,a)),product(B,D))
    | product(product(a,B),product(quotient(c,a),D)) = product(difference(b,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_6153,refute_0_6299]) ).

cnf(refute_0_6301,plain,
    product(product(a,B),product(quotient(c,a),D)) = product(difference(b,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(quotient(c,a),D)),product(product(a,quotient(c,a)),product(B,D))) )],[refute_0_6298,refute_0_6300]) ).

cnf(refute_0_6302,plain,
    product(product(a,b),product(quotient(c,a),b)) = product(difference(b,c),product(b,b)),
    inference(subst,[],[refute_0_6301:[bind(B,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_6303,plain,
    ( product(difference(b,c),product(b,b)) != difference(b,product(c,b))
    | product(product(a,b),product(quotient(c,a),b)) != product(difference(b,c),product(b,b))
    | product(product(a,b),product(quotient(c,a),b)) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(quotient(c,a),b)))),bind(Y,$fot(product(difference(b,c),product(b,b)))),bind(Z,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_6304,plain,
    ( product(difference(b,c),product(b,b)) != difference(b,product(c,b))
    | product(product(a,b),product(quotient(c,a),b)) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(c,a),b)),product(difference(b,c),product(b,b))) )],[refute_0_6302,refute_0_6303]) ).

cnf(refute_0_6305,plain,
    product(product(a,b),product(quotient(c,a),b)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(b,b)),difference(b,product(c,b))) )],[refute_0_6297,refute_0_6304]) ).

cnf(refute_0_6306,plain,
    product(product(difference(b,c),B),product(c,D)) = product(product(difference(b,c),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(difference(b,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_6307,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(product(difference(b,c),B),product(c,D)) != product(product(difference(b,c),c),product(B,D))
    | product(product(difference(b,c),B),product(c,D)) = product(product(a,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),B),product(c,D)),product(product(difference(b,c),c),product(B,D))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_6308,plain,
    ( product(product(difference(b,c),B),product(c,D)) != product(product(difference(b,c),c),product(B,D))
    | product(product(difference(b,c),B),product(c,D)) = product(product(a,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_6307]) ).

cnf(refute_0_6309,plain,
    product(product(difference(b,c),B),product(c,D)) = product(product(a,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(c,D)),product(product(difference(b,c),c),product(B,D))) )],[refute_0_6306,refute_0_6308]) ).

cnf(refute_0_6310,plain,
    product(product(difference(b,c),quotient(c,a)),product(c,b)) = product(product(a,b),product(quotient(c,a),b)),
    inference(subst,[],[refute_0_6309:[bind(B,$fot(quotient(c,a))),bind(D,$fot(b))]]) ).

cnf(refute_0_6311,plain,
    ( product(product(a,b),product(quotient(c,a),b)) != difference(b,product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(c,b)) != product(product(a,b),product(quotient(c,a),b))
    | product(product(difference(b,c),quotient(c,a)),product(c,b)) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),quotient(c,a)),product(c,b)))),bind(Y,$fot(product(product(a,b),product(quotient(c,a),b)))),bind(Z,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_6312,plain,
    ( product(product(a,b),product(quotient(c,a),b)) != difference(b,product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(c,b)) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(c,b)),product(product(a,b),product(quotient(c,a),b))) )],[refute_0_6310,refute_0_6311]) ).

cnf(refute_0_6313,plain,
    product(product(difference(b,c),quotient(c,a)),product(c,b)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(c,a),b)),difference(b,product(c,b))) )],[refute_0_6305,refute_0_6312]) ).

cnf(refute_0_6314,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)))]]) ).

cnf(refute_0_6315,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) != product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c))
    | product(quotient(c,a),c) != product(c,b)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = product(product(difference(b,c),quotient(c,a)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_6316,plain,
    ( product(quotient(c,a),c) != product(c,b)
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = product(product(difference(b,c),quotient(c,a)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c))) )],[refute_0_6314,refute_0_6315]) ).

cnf(refute_0_6317,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = product(product(difference(b,c),quotient(c,a)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_6244,refute_0_6316]) ).

cnf(refute_0_6318,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(c,b)) != difference(b,product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) != product(product(difference(b,c),quotient(c,a)),product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)))),bind(Y,$fot(product(product(difference(b,c),quotient(c,a)),product(c,b)))),bind(Z,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_6319,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(c,b)) != difference(b,product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),product(product(difference(b,c),quotient(c,a)),product(c,b))) )],[refute_0_6317,refute_0_6318]) ).

cnf(refute_0_6320,plain,
    product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(c,b)),difference(b,product(c,b))) )],[refute_0_6313,refute_0_6319]) ).

cnf(refute_0_6321,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) != difference(b,product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) != quotient(c,a)
    | difference(b,product(c,b)) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),quotient(c,a)) ),[0],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_6322,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)) != quotient(c,a)
    | difference(b,product(c,b)) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),difference(b,product(c,b))) )],[refute_0_6320,refute_0_6321]) ).

cnf(refute_0_6323,plain,
    difference(b,product(c,b)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(quotient(c,a),c)),quotient(c,a)) )],[refute_0_6290,refute_0_6322]) ).

cnf(refute_0_6324,plain,
    quotient(c,difference(b,product(c,b))) = quotient(c,difference(b,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(c,difference(b,product(c,b))))]]) ).

cnf(refute_0_6325,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | quotient(c,difference(b,product(c,b))) != quotient(c,difference(b,product(c,b)))
    | quotient(c,difference(b,product(c,b))) = quotient(c,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(b,product(c,b))),quotient(c,difference(b,product(c,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_6326,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | quotient(c,difference(b,product(c,b))) = quotient(c,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(b,product(c,b))),quotient(c,difference(b,product(c,b)))) )],[refute_0_6324,refute_0_6325]) ).

cnf(refute_0_6327,plain,
    quotient(c,difference(b,product(c,b))) = quotient(c,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_6323,refute_0_6326]) ).

cnf(refute_0_6328,plain,
    bigC(c,b,quotient(c,difference(b,product(c,b)))) = bigC(c,b,quotient(c,difference(b,product(c,b)))),
    introduced(tautology,[refl,[$fot(bigC(c,b,quotient(c,difference(b,product(c,b)))))]]) ).

cnf(refute_0_6329,plain,
    ( bigC(c,b,quotient(c,difference(b,product(c,b)))) != bigC(c,b,quotient(c,difference(b,product(c,b))))
    | quotient(c,difference(b,product(c,b))) != quotient(c,quotient(c,a))
    | bigC(c,b,quotient(c,difference(b,product(c,b)))) = bigC(c,b,quotient(c,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,quotient(c,difference(b,product(c,b)))),bigC(c,b,quotient(c,difference(b,product(c,b))))) ),[1,2],$fot(quotient(c,quotient(c,a)))]]) ).

cnf(refute_0_6330,plain,
    ( quotient(c,difference(b,product(c,b))) != quotient(c,quotient(c,a))
    | bigC(c,b,quotient(c,difference(b,product(c,b)))) = bigC(c,b,quotient(c,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,quotient(c,difference(b,product(c,b)))),bigC(c,b,quotient(c,difference(b,product(c,b))))) )],[refute_0_6328,refute_0_6329]) ).

cnf(refute_0_6331,plain,
    bigC(c,b,quotient(c,difference(b,product(c,b)))) = bigC(c,b,quotient(c,quotient(c,a))),
    inference(resolve,[$cnf( $equal(quotient(c,difference(b,product(c,b))),quotient(c,quotient(c,a))) )],[refute_0_6327,refute_0_6330]) ).

cnf(refute_0_6332,plain,
    quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) = quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c))]]) ).

cnf(refute_0_6333,plain,
    ( bigC(c,b,quotient(c,difference(b,product(c,b)))) != bigC(c,b,quotient(c,quotient(c,a)))
    | quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) != quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)
    | quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) = quotient(bigC(c,b,quotient(c,quotient(c,a))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)) ),[1,0],$fot(bigC(c,b,quotient(c,quotient(c,a))))]]) ).

cnf(refute_0_6334,plain,
    ( bigC(c,b,quotient(c,difference(b,product(c,b)))) != bigC(c,b,quotient(c,quotient(c,a)))
    | quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) = quotient(bigC(c,b,quotient(c,quotient(c,a))),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)) )],[refute_0_6332,refute_0_6333]) ).

cnf(refute_0_6335,plain,
    quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) = quotient(bigC(c,b,quotient(c,quotient(c,a))),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,quotient(c,difference(b,product(c,b)))),bigC(c,b,quotient(c,quotient(c,a)))) )],[refute_0_6331,refute_0_6334]) ).

cnf(refute_0_6336,plain,
    ( b != quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)
    | quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c) != quotient(bigC(c,b,quotient(c,quotient(c,a))),c)
    | b = quotient(bigC(c,b,quotient(c,quotient(c,a))),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(b,quotient(bigC(c,b,quotient(c,quotient(c,a))),c)) ),[0],$fot(quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c))]]) ).

cnf(refute_0_6337,plain,
    ( b != quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)
    | b = quotient(bigC(c,b,quotient(c,quotient(c,a))),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c),quotient(bigC(c,b,quotient(c,quotient(c,a))),c)) )],[refute_0_6335,refute_0_6336]) ).

cnf(refute_0_6338,plain,
    b = quotient(bigC(c,b,quotient(c,quotient(c,a))),c),
    inference(resolve,[$cnf( $equal(b,quotient(bigC(c,b,quotient(c,difference(b,product(c,b)))),c)) )],[refute_0_6274,refute_0_6337]) ).

cnf(refute_0_6339,plain,
    product(difference(b,product(c,b)),X_102) = product(difference(b,product(c,b)),X_102),
    introduced(tautology,[refl,[$fot(product(difference(b,product(c,b)),X_102))]]) ).

cnf(refute_0_6340,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(difference(b,product(c,b)),X_102) != product(difference(b,product(c,b)),X_102)
    | product(difference(b,product(c,b)),X_102) = product(quotient(c,a),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,product(c,b)),X_102),product(difference(b,product(c,b)),X_102)) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_6341,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(difference(b,product(c,b)),X_102) = product(quotient(c,a),X_102) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),X_102),product(difference(b,product(c,b)),X_102)) )],[refute_0_6339,refute_0_6340]) ).

cnf(refute_0_6342,plain,
    product(difference(b,product(c,b)),X_102) = product(quotient(c,a),X_102),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_6323,refute_0_6341]) ).

cnf(refute_0_6343,plain,
    ( product(difference(b,product(c,b)),X_102) != product(quotient(c,a),X_102)
    | quotient(bigC(c,b,X_102),c) != product(difference(b,product(c,b)),X_102)
    | quotient(bigC(c,b,X_102),c) = product(quotient(c,a),X_102) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,X_102),c),product(difference(b,product(c,b)),X_102)) ),[1],$fot(product(quotient(c,a),X_102))]]) ).

cnf(refute_0_6344,plain,
    ( quotient(bigC(c,b,X_102),c) != product(difference(b,product(c,b)),X_102)
    | quotient(bigC(c,b,X_102),c) = product(quotient(c,a),X_102) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),X_102),product(quotient(c,a),X_102)) )],[refute_0_6342,refute_0_6343]) ).

cnf(refute_0_6345,plain,
    quotient(bigC(c,b,X_102),c) = product(quotient(c,a),X_102),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,X_102),c),product(difference(b,product(c,b)),X_102)) )],[refute_0_6268,refute_0_6344]) ).

cnf(refute_0_6346,plain,
    quotient(bigC(c,b,quotient(c,quotient(c,a))),c) = product(quotient(c,a),quotient(c,quotient(c,a))),
    inference(subst,[],[refute_0_6345:[bind(X_102,$fot(quotient(c,quotient(c,a))))]]) ).

cnf(refute_0_6347,plain,
    ( b != quotient(bigC(c,b,quotient(c,quotient(c,a))),c)
    | quotient(bigC(c,b,quotient(c,quotient(c,a))),c) != product(quotient(c,a),quotient(c,quotient(c,a)))
    | b = product(quotient(c,a),quotient(c,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(b,product(quotient(c,a),quotient(c,quotient(c,a)))) ),[0],$fot(quotient(bigC(c,b,quotient(c,quotient(c,a))),c))]]) ).

cnf(refute_0_6348,plain,
    ( b != quotient(bigC(c,b,quotient(c,quotient(c,a))),c)
    | b = product(quotient(c,a),quotient(c,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,quotient(c,quotient(c,a))),c),product(quotient(c,a),quotient(c,quotient(c,a)))) )],[refute_0_6346,refute_0_6347]) ).

cnf(refute_0_6349,plain,
    b = product(quotient(c,a),quotient(c,quotient(c,a))),
    inference(resolve,[$cnf( $equal(b,quotient(bigC(c,b,quotient(c,quotient(c,a))),c)) )],[refute_0_6338,refute_0_6348]) ).

cnf(refute_0_6350,plain,
    ( b != product(quotient(c,a),quotient(c,quotient(c,a)))
    | product(quotient(c,a),quotient(c,quotient(c,a))) = b ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(b)),bind(Y,$fot(product(quotient(c,a),quotient(c,quotient(c,a)))))]]) ).

cnf(refute_0_6351,plain,
    product(quotient(c,a),quotient(c,quotient(c,a))) = b,
    inference(resolve,[$cnf( $equal(b,product(quotient(c,a),quotient(c,quotient(c,a)))) )],[refute_0_6349,refute_0_6350]) ).

cnf(refute_0_6352,plain,
    ( product(quotient(c,a),quotient(c,quotient(c,a))) != b
    | quotient(product(c,b),quotient(c,a)) != product(quotient(c,a),quotient(c,quotient(c,a)))
    | quotient(product(c,b),quotient(c,a)) = b ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),quotient(c,a)),product(quotient(c,a),quotient(c,quotient(c,a)))) ),[1],$fot(b)]]) ).

cnf(refute_0_6353,plain,
    ( quotient(product(c,b),quotient(c,a)) != product(quotient(c,a),quotient(c,quotient(c,a)))
    | quotient(product(c,b),quotient(c,a)) = b ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),quotient(c,quotient(c,a))),b) )],[refute_0_6351,refute_0_6352]) ).

cnf(refute_0_6354,plain,
    quotient(product(c,b),quotient(c,a)) = b,
    inference(resolve,[$cnf( $equal(quotient(product(c,b),quotient(c,a)),product(quotient(c,a),quotient(c,quotient(c,a)))) )],[refute_0_6247,refute_0_6353]) ).

cnf(refute_0_6355,plain,
    ( product(quotient(product(c,b),quotient(c,a)),quotient(c,a)) != product(c,b)
    | quotient(product(c,b),quotient(c,a)) != b
    | product(b,quotient(c,a)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,b),quotient(c,a)),quotient(c,a)),product(c,b)) ),[0,0],$fot(b)]]) ).

cnf(refute_0_6356,plain,
    ( product(quotient(product(c,b),quotient(c,a)),quotient(c,a)) != product(c,b)
    | product(b,quotient(c,a)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),quotient(c,a)),b) )],[refute_0_6354,refute_0_6355]) ).

cnf(refute_0_6357,plain,
    product(b,quotient(c,a)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,b),quotient(c,a)),quotient(c,a)),product(c,b)) )],[refute_0_6221,refute_0_6356]) ).

cnf(refute_0_6358,plain,
    ( product(b,quotient(c,a)) != 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( $equal(product(product(A,b),product(C,quotient(c,a))),product(product(A,C),product(b,quotient(c,a)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_6359,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(b,quotient(c,a)),product(c,b)) )],[refute_0_6357,refute_0_6358]) ).

cnf(refute_0_6360,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_6220,refute_0_6359]) ).

cnf(refute_0_6361,plain,
    product(product(product(a,c),b),product(X_24,quotient(c,a))) = product(product(product(a,c),X_24),product(c,b)),
    inference(subst,[],[refute_0_6360:[bind(A,$fot(product(a,c))),bind(C,$fot(X_24))]]) ).

cnf(refute_0_6362,plain,
    ( product(product(product(a,c),X_24),product(c,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(product(a,c),b),product(X_24,quotient(c,a))) != product(product(product(a,c),X_24),product(c,b))
    | product(product(product(a,c),b),product(X_24,quotient(c,a))) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),b),product(X_24,quotient(c,a))))),bind(Y,$fot(product(product(product(a,c),X_24),product(c,b)))),bind(Z,$fot(product(product(a,X_24),bigC(b,b,c))))]]) ).

cnf(refute_0_6363,plain,
    ( product(product(product(a,c),X_24),product(c,b)) != product(product(a,X_24),bigC(b,b,c))
    | product(product(product(a,c),b),product(X_24,quotient(c,a))) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(X_24,quotient(c,a))),product(product(product(a,c),X_24),product(c,b))) )],[refute_0_6361,refute_0_6362]) ).

cnf(refute_0_6364,plain,
    product(product(product(a,c),b),product(X_24,quotient(c,a))) = product(product(a,X_24),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_24),product(c,b)),product(product(a,X_24),bigC(b,b,c))) )],[refute_0_6219,refute_0_6363]) ).

cnf(refute_0_6365,plain,
    ( product(product(product(a,c),b),product(X_24,quotient(c,a))) != product(product(a,X_24),bigC(b,b,c))
    | product(product(product(c,b),X_24),quotient(c,a)) != product(product(product(a,c),b),product(X_24,quotient(c,a)))
    | product(product(product(c,b),X_24),quotient(c,a)) = product(product(a,X_24),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),X_24),quotient(c,a)),product(product(product(a,c),b),product(X_24,quotient(c,a)))) ),[1],$fot(product(product(a,X_24),bigC(b,b,c)))]]) ).

cnf(refute_0_6366,plain,
    ( product(product(product(c,b),X_24),quotient(c,a)) != product(product(product(a,c),b),product(X_24,quotient(c,a)))
    | product(product(product(c,b),X_24),quotient(c,a)) = product(product(a,X_24),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(X_24,quotient(c,a))),product(product(a,X_24),bigC(b,b,c))) )],[refute_0_6364,refute_0_6365]) ).

cnf(refute_0_6367,plain,
    product(product(product(c,b),X_24),quotient(c,a)) = product(product(a,X_24),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_24),quotient(c,a)),product(product(product(a,c),b),product(X_24,quotient(c,a)))) )],[refute_0_6193,refute_0_6366]) ).

cnf(refute_0_6368,plain,
    product(product(product(c,b),b),quotient(c,a)) = product(product(a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_6367:[bind(X_24,$fot(b))]]) ).

cnf(refute_0_6369,plain,
    product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(product(c,b),b),quotient(c,a))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(c,b),b),quotient(c,a))))]]) ).

cnf(refute_0_6370,plain,
    ( product(a,product(product(product(c,b),b),quotient(c,a))) != product(a,product(product(product(c,b),b),quotient(c,a)))
    | product(product(product(c,b),b),quotient(c,a)) != product(product(a,b),bigC(b,b,c))
    | product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(c,b),b),quotient(c,a))),product(a,product(product(product(c,b),b),quotient(c,a)))) ),[1,1],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_6371,plain,
    ( product(product(product(c,b),b),quotient(c,a)) != product(product(a,b),bigC(b,b,c))
    | product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(c,b),b),quotient(c,a))),product(a,product(product(product(c,b),b),quotient(c,a)))) )],[refute_0_6369,refute_0_6370]) ).

cnf(refute_0_6372,plain,
    product(a,product(product(product(c,b),b),quotient(c,a))) = product(a,product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),quotient(c,a)),product(product(a,b),bigC(b,b,c))) )],[refute_0_6368,refute_0_6371]) ).

cnf(refute_0_6373,plain,
    ( product(a,product(product(product(c,b),b),quotient(c,a))) != product(a,product(product(a,b),bigC(b,b,c)))
    | product(a,product(product(product(c,b),b),quotient(c,a))) != product(a,product(product(a,product(b,c)),b))
    | product(a,product(product(a,b),bigC(b,b,c))) = product(a,product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(c,b),b),quotient(c,a))),product(a,product(product(a,product(b,c)),b))) ),[0],$fot(product(a,product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_6374,plain,
    ( product(a,product(product(product(c,b),b),quotient(c,a))) != product(a,product(product(a,product(b,c)),b))
    | product(a,product(product(a,b),bigC(b,b,c))) = product(a,product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(c,b),b),quotient(c,a))),product(a,product(product(a,b),bigC(b,b,c)))) )],[refute_0_6372,refute_0_6373]) ).

cnf(refute_0_6375,plain,
    product(a,product(product(a,b),bigC(b,b,c))) = product(a,product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(c,b),b),quotient(c,a))),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6162,refute_0_6374]) ).

cnf(refute_0_6376,plain,
    product(c,product(a,product(product(a,b),bigC(b,b,c)))) = product(c,product(a,product(product(a,b),bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(c,product(a,product(product(a,b),bigC(b,b,c)))))]]) ).

cnf(refute_0_6377,plain,
    ( product(a,product(product(a,b),bigC(b,b,c))) != product(a,product(product(a,product(b,c)),b))
    | product(c,product(a,product(product(a,b),bigC(b,b,c)))) != product(c,product(a,product(product(a,b),bigC(b,b,c))))
    | product(c,product(a,product(product(a,b),bigC(b,b,c)))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(a,product(product(a,b),bigC(b,b,c)))),product(c,product(a,product(product(a,b),bigC(b,b,c))))) ),[1,1],$fot(product(a,product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_6378,plain,
    ( product(a,product(product(a,b),bigC(b,b,c))) != product(a,product(product(a,product(b,c)),b))
    | product(c,product(a,product(product(a,b),bigC(b,b,c)))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(product(a,b),bigC(b,b,c)))),product(c,product(a,product(product(a,b),bigC(b,b,c))))) )],[refute_0_6376,refute_0_6377]) ).

cnf(refute_0_6379,plain,
    product(c,product(a,product(product(a,b),bigC(b,b,c)))) = product(c,product(a,product(product(a,product(b,c)),b))),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,b),bigC(b,b,c))),product(a,product(product(a,product(b,c)),b))) )],[refute_0_6375,refute_0_6378]) ).

cnf(refute_0_6380,plain,
    product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) = product(product(c,X_25),product(c,product(product(a,b),bigC(b,b,c)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_6381,plain,
    product(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(a,b)) = product(c,product(product(a,b),bigC(b,b,c))),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(c,product(product(a,b),bigC(b,b,c))))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_6382,plain,
    quotient(product(product(a,b),bigC(a,b,product(a,b))),product(a,b)) = product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(a,b))),bind(X_44,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_6383,plain,
    bigC(c,product(product(a,c),b),product(a,b)) = bigC(c,product(a,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_121:[bind(A,$fot(c)),bind(B,$fot(product(product(a,c),b))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_6384,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(a,b),bigC(b,a,bigC(c,a,b))),X_44),
    inference(subst,[],[refute_0_256:[bind(A,$fot(X_44)),bind(X_17,$fot(product(a,b))),bind(X_18,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_6385,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),X_44)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),X_44)) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_6386,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(a,b),bigC(b,a,bigC(c,a,b))),X_44)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_6385]) ).

cnf(refute_0_6387,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(a,b),bigC(b,a,bigC(c,a,b))),X_44)) )],[refute_0_6384,refute_0_6386]) ).

cnf(refute_0_6388,plain,
    bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) = product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)),
    inference(subst,[],[refute_0_4572:[bind(C,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6389,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(c,a),b),X_44)
    | bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b))
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(product(c,a),b),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(c,a),b),X_44)) ),[0],$fot(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_6390,plain,
    ( bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))) != product(product(product(c,a),b),X_44)
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(product(c,a),b),X_44) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b))) )],[refute_0_6388,refute_0_6389]) ).

cnf(refute_0_6391,plain,
    product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = product(product(product(c,a),b),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,bigC(c,a,b)),quotient(X_44,product(a,b))),product(product(product(c,a),b),X_44)) )],[refute_0_6387,refute_0_6390]) ).

cnf(refute_0_6392,plain,
    bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)) = bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c))),bind(C,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6393,plain,
    product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)),
    inference(subst,[],[refute_0_4591:[bind(X_25,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6394,plain,
    ( bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)) != bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) != bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c))
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)))),bind(Y,$fot(bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)))),bind(Z,$fot(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))))]]) ).

cnf(refute_0_6395,plain,
    ( bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)) != bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)),bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c))) )],[refute_0_6393,refute_0_6394]) ).

cnf(refute_0_6396,plain,
    product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) = bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(X_44,product(a,b)),product(a,c)),bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))) )],[refute_0_6392,refute_0_6395]) ).

cnf(refute_0_6397,plain,
    ( product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) != bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))
    | product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) != product(product(product(c,a),b),X_44)
    | bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)),product(product(product(c,a),b),X_44)) ),[0],$fot(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6398,plain,
    ( product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)) != product(product(product(c,a),b),X_44)
    | bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)),bigC(product(c,b),product(a,c),quotient(X_44,product(a,b)))) )],[refute_0_6396,refute_0_6397]) ).

cnf(refute_0_6399,plain,
    bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(product(c,a),b),X_44),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),quotient(X_44,product(a,b))),bigC(b,a,b)),product(product(product(c,a),b),X_44)) )],[refute_0_6391,refute_0_6398]) ).

cnf(refute_0_6400,plain,
    product(product(product(c,a),b),X_44) = product(product(product(c,a),b),X_44),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),X_44))]]) ).

cnf(refute_0_6401,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),X_44) != product(product(product(c,a),b),X_44)
    | product(product(product(c,a),b),X_44) = product(product(c,product(c,b)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),X_44),product(product(product(c,a),b),X_44)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6402,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),X_44) = product(product(c,product(c,b)),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),X_44),product(product(product(c,a),b),X_44)) )],[refute_0_6400,refute_0_6401]) ).

cnf(refute_0_6403,plain,
    product(product(product(c,a),b),X_44) = product(product(c,product(c,b)),X_44),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_6402]) ).

cnf(refute_0_6404,plain,
    ( bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) != product(product(product(c,a),b),X_44)
    | product(product(product(c,a),b),X_44) != product(product(c,product(c,b)),X_44)
    | bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),product(product(c,product(c,b)),X_44)) ),[0],$fot(product(product(product(c,a),b),X_44))]]) ).

cnf(refute_0_6405,plain,
    ( bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) != product(product(product(c,a),b),X_44)
    | bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),X_44),product(product(c,product(c,b)),X_44)) )],[refute_0_6403,refute_0_6404]) ).

cnf(refute_0_6406,plain,
    bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),product(product(product(c,a),b),X_44)) )],[refute_0_6399,refute_0_6405]) ).

cnf(refute_0_6407,plain,
    bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) = product(c,product(quotient(X_44,product(a,b)),product(c,b))),
    inference(subst,[],[refute_0_4446:[bind(X_19,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6408,plain,
    ( bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) != product(c,product(quotient(X_44,product(a,b)),product(c,b)))
    | bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) != product(product(c,product(c,b)),X_44)
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) = product(product(c,product(c,b)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),product(product(c,product(c,b)),X_44)) ),[0],$fot(product(c,product(quotient(X_44,product(a,b)),product(c,b))))]]) ).

cnf(refute_0_6409,plain,
    ( bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))) != product(product(c,product(c,b)),X_44)
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) = product(product(c,product(c,b)),X_44) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),product(c,product(quotient(X_44,product(a,b)),product(c,b)))) )],[refute_0_6407,refute_0_6408]) ).

cnf(refute_0_6410,plain,
    product(c,product(quotient(X_44,product(a,b)),product(c,b))) = product(product(c,product(c,b)),X_44),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(X_44,product(a,b))),product(product(c,product(c,b)),X_44)) )],[refute_0_6406,refute_0_6409]) ).

cnf(refute_0_6411,plain,
    bigC(c,quotient(X_44,product(a,b)),product(a,b)) = bigC(c,product(a,b),quotient(X_44,product(a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6412,plain,
    product(c,product(quotient(X_44,product(a,b)),product(c,b))) = bigC(c,quotient(X_44,product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_4513:[bind(B,$fot(quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6413,plain,
    ( bigC(c,quotient(X_44,product(a,b)),product(a,b)) != bigC(c,product(a,b),quotient(X_44,product(a,b)))
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) != bigC(c,quotient(X_44,product(a,b)),product(a,b))
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) = bigC(c,product(a,b),quotient(X_44,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(quotient(X_44,product(a,b)),product(c,b))))),bind(Y,$fot(bigC(c,quotient(X_44,product(a,b)),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),quotient(X_44,product(a,b)))))]]) ).

cnf(refute_0_6414,plain,
    ( bigC(c,quotient(X_44,product(a,b)),product(a,b)) != bigC(c,product(a,b),quotient(X_44,product(a,b)))
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) = bigC(c,product(a,b),quotient(X_44,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(X_44,product(a,b)),product(c,b))),bigC(c,quotient(X_44,product(a,b)),product(a,b))) )],[refute_0_6412,refute_0_6413]) ).

cnf(refute_0_6415,plain,
    product(c,product(quotient(X_44,product(a,b)),product(c,b))) = bigC(c,product(a,b),quotient(X_44,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(X_44,product(a,b)),product(a,b)),bigC(c,product(a,b),quotient(X_44,product(a,b)))) )],[refute_0_6411,refute_0_6414]) ).

cnf(refute_0_6416,plain,
    ( product(c,product(quotient(X_44,product(a,b)),product(c,b))) != bigC(c,product(a,b),quotient(X_44,product(a,b)))
    | product(c,product(quotient(X_44,product(a,b)),product(c,b))) != product(product(c,product(c,b)),X_44)
    | bigC(c,product(a,b),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(quotient(X_44,product(a,b)),product(c,b))),product(product(c,product(c,b)),X_44)) ),[0],$fot(bigC(c,product(a,b),quotient(X_44,product(a,b))))]]) ).

cnf(refute_0_6417,plain,
    ( product(c,product(quotient(X_44,product(a,b)),product(c,b))) != product(product(c,product(c,b)),X_44)
    | bigC(c,product(a,b),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44) ),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(X_44,product(a,b)),product(c,b))),bigC(c,product(a,b),quotient(X_44,product(a,b)))) )],[refute_0_6415,refute_0_6416]) ).

cnf(refute_0_6418,plain,
    bigC(c,product(a,b),quotient(X_44,product(a,b))) = product(product(c,product(c,b)),X_44),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(X_44,product(a,b)),product(c,b))),product(product(c,product(c,b)),X_44)) )],[refute_0_6410,refute_0_6417]) ).

cnf(refute_0_6419,plain,
    bigC(c,product(a,b),quotient(product(bigC(a,a,c),b),product(a,b))) = product(product(c,product(c,b)),product(bigC(a,a,c),b)),
    inference(subst,[],[refute_0_6418:[bind(X_44,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_6420,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_250:[bind(B,$fot(product(a,b))),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_6421,plain,
    ( bigC(product(a,b),product(a,b),product(c,b)) != product(bigC(a,b,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(bigC(a,b,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(bigC(a,b,c),product(product(a,b),b)))]]) ).

cnf(refute_0_6422,plain,
    ( quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,b,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(bigC(a,b,c),product(product(a,b),b))) )],[refute_0_5075,refute_0_6421]) ).

cnf(refute_0_6423,plain,
    quotient(product(bigC(a,b,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_6420,refute_0_6422]) ).

cnf(refute_0_6424,plain,
    quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)))]]) ).

cnf(refute_0_6425,plain,
    ( product(bigC(a,b,c),product(product(a,b),b)) != product(bigC(a,a,c),b)
    | quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)) != quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b))
    | quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,a,c),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)),quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b))) ),[1,0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_6426,plain,
    ( product(bigC(a,b,c),product(product(a,b),b)) != product(bigC(a,a,c),b)
    | quotient(product(bigC(a,b,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(bigC(a,b,c),product(product(a,b),b)),product(a,b)),quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b))) )],[refute_0_6424,refute_0_6425]) ).

cnf(refute_0_6427,plain,
    quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,a,c),b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(product(a,b),b)),product(bigC(a,a,c),b)) )],[refute_0_5086,refute_0_6426]) ).

cnf(refute_0_6428,plain,
    ( quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,b,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( $equal(quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)),product(product(a,b),product(c,b))) ),[0],$fot(quotient(product(bigC(a,a,c),b),product(a,b)))]]) ).

cnf(refute_0_6429,plain,
    ( quotient(product(bigC(a,b,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(bigC(a,b,c),product(product(a,b),b)),product(a,b)),quotient(product(bigC(a,a,c),b),product(a,b))) )],[refute_0_6427,refute_0_6428]) ).

cnf(refute_0_6430,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_6431,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_1152,refute_0_6430]) ).

cnf(refute_0_6432,plain,
    ( quotient(product(bigC(a,b,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_6429,refute_0_6431]) ).

cnf(refute_0_6433,plain,
    quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,c),product(product(a,b),b)),product(a,b)),product(product(a,b),product(c,b))) )],[refute_0_6423,refute_0_6432]) ).

cnf(refute_0_6434,plain,
    ( bigC(c,product(a,b),quotient(product(bigC(a,a,c),b),product(a,b))) != product(product(c,product(c,b)),product(bigC(a,a,c),b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) != product(product(a,c),b)
    | bigC(c,product(a,b),product(product(a,c),b)) = product(product(c,product(c,b)),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(product(bigC(a,a,c),b),product(a,b))),product(product(c,product(c,b)),product(bigC(a,a,c),b))) ),[0,2],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_6435,plain,
    ( bigC(c,product(a,b),quotient(product(bigC(a,a,c),b),product(a,b))) != product(product(c,product(c,b)),product(bigC(a,a,c),b))
    | bigC(c,product(a,b),product(product(a,c),b)) = product(product(c,product(c,b)),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),b),product(a,b)),product(product(a,c),b)) )],[refute_0_6433,refute_0_6434]) ).

cnf(refute_0_6436,plain,
    bigC(c,product(a,b),product(product(a,c),b)) = product(product(c,product(c,b)),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(product(bigC(a,a,c),b),product(a,b))),product(product(c,product(c,b)),product(bigC(a,a,c),b))) )],[refute_0_6419,refute_0_6435]) ).

cnf(refute_0_6437,plain,
    bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(bigC(a,b,bigC(c,a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b)))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(bigC(a,b,bigC(c,a,b)))),bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_6438,plain,
    difference(product(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(bigC(c,a,b),a))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_6439,plain,
    ( difference(product(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | difference(product(product(a,c),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) ),[0,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_6440,plain,
    ( difference(product(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | difference(product(product(a,c),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),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_834,refute_0_6439]) ).

cnf(refute_0_6441,plain,
    difference(product(product(a,c),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(bigC(c,a,b),a),product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) )],[refute_0_6438,refute_0_6440]) ).

cnf(refute_0_6442,plain,
    difference(product(product(a,c),product(a,b)),product(a,b)) = difference(product(product(a,c),product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_6443,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,b)) != difference(product(product(a,c),product(a,b)),product(a,b))
    | product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,b)) = difference(product(a,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,b)),difference(product(product(a,c),product(a,b)),product(a,b))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6444,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,b)) = difference(product(a,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,b)),difference(product(product(a,c),product(a,b)),product(a,b))) )],[refute_0_6442,refute_0_6443]) ).

cnf(refute_0_6445,plain,
    difference(product(product(a,c),product(a,b)),product(a,b)) = difference(product(a,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_794,refute_0_6444]) ).

cnf(refute_0_6446,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,b)) != difference(product(a,product(c,b)),product(a,b))
    | difference(product(product(a,c),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) ),[0],$fot(difference(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_6447,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,b)),difference(product(a,product(c,b)),product(a,b))) )],[refute_0_6445,refute_0_6446]) ).

cnf(refute_0_6448,plain,
    product(product(a,b),product(bigC(c,a,b),a)) = bigC(a,b,bigC(c,a,b)),
    inference(subst,[],[refute_0_117:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_6449,plain,
    product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) = product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_6450,plain,
    ( product(product(a,b),product(bigC(c,a,b),a)) != bigC(a,b,bigC(c,a,b))
    | product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) = product(product(a,b),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) ),[1,1],$fot(bigC(a,b,bigC(c,a,b)))]]) ).

cnf(refute_0_6451,plain,
    ( product(product(a,b),product(bigC(c,a,b),a)) != bigC(a,b,bigC(c,a,b))
    | product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) = product(product(a,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) )],[refute_0_6449,refute_0_6450]) ).

cnf(refute_0_6452,plain,
    product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) = product(product(a,b),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(c,a,b),a)),bigC(a,b,bigC(c,a,b))) )],[refute_0_6448,refute_0_6451]) ).

cnf(refute_0_6453,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))) != product(product(a,b),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b)))) ),[0],$fot(product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_6454,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,a,b),a))),product(product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6452,refute_0_6453]) ).

cnf(refute_0_6455,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) )],[refute_0_6447,refute_0_6454]) ).

cnf(refute_0_6456,plain,
    difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,a,b),a)))) )],[refute_0_6441,refute_0_6455]) ).

cnf(refute_0_6457,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,bigC(c,a,b)))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) = difference(product(a,product(c,b)),product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(a,product(c,b)),product(a,b)))),bind(Y,$fot(product(product(a,b),bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_6458,plain,
    product(product(a,b),bigC(a,b,bigC(c,a,b))) = difference(product(a,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6456,refute_0_6457]) ).

cnf(refute_0_6459,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(bigC(a,b,bigC(c,a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b))))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) != difference(product(a,product(c,b)),product(a,b))
    | bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)),product(bigC(a,b,bigC(c,a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b))))) ),[1,1],$fot(difference(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_6460,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(bigC(a,b,bigC(c,a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b))))
    | bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),difference(product(a,product(c,b)),product(a,b))) )],[refute_0_6458,refute_0_6459]) ).

cnf(refute_0_6461,plain,
    bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)),product(bigC(a,b,bigC(c,a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b))))) )],[refute_0_6437,refute_0_6460]) ).

cnf(refute_0_6462,plain,
    bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) = bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(bigC(a,b,bigC(c,a,b)))),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6463,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) != bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) ),[0],$fot(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6464,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)),bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6462,refute_0_6463]) ).

cnf(refute_0_6465,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b)),product(a,b)),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6461,refute_0_6464]) ).

cnf(refute_0_6466,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6467,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b)))) ),[1,2],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6468,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6466,refute_0_6467]) ).

cnf(refute_0_6469,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6468]) ).

cnf(refute_0_6470,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6471,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b)))) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6472,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6470,refute_0_6471]) ).

cnf(refute_0_6473,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6472]) ).

cnf(refute_0_6474,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))))]]) ).

cnf(refute_0_6475,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6473,refute_0_6474]) ).

cnf(refute_0_6476,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) )],[refute_0_6469,refute_0_6475]) ).

cnf(refute_0_6477,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))
    | bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) ),[0],$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6478,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) )],[refute_0_6476,refute_0_6477]) ).

cnf(refute_0_6479,plain,
    product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) = product(bigC(a,a,c),product(b,bigC(a,b,c))),
    inference(subst,[],[refute_0_398:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_67,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_6480,plain,
    product(product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,b),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6481,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) != product(product(a,b),bigC(a,b,bigC(c,a,b)))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(product(a,b),bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6482,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6480,refute_0_6481]) ).

cnf(refute_0_6483,plain,
    product(product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6482]) ).

cnf(refute_0_6484,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,bigC(c,a,b)))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) != product(product(a,b),bigC(a,b,c))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) ),[0],$fot(product(product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6485,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(product(a,b),bigC(a,b,c))) )],[refute_0_6483,refute_0_6484]) ).

cnf(refute_0_6486,plain,
    difference(product(a,product(c,b)),product(a,b)) = product(product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6456,refute_0_6485]) ).

cnf(refute_0_6487,plain,
    product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_6488,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b)))
    | product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b)))) ),[1,1],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6489,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6487,refute_0_6488]) ).

cnf(refute_0_6490,plain,
    product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_6489]) ).

cnf(refute_0_6491,plain,
    product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_6492,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6493,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6491,refute_0_6492]) ).

cnf(refute_0_6494,plain,
    product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6493]) ).

cnf(refute_0_6495,plain,
    ( product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b)))
    | product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))))),bind(Y,$fot(product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))))),bind(Z,$fot(product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))))]]) ).

cnf(refute_0_6496,plain,
    ( product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6494,refute_0_6495]) ).

cnf(refute_0_6497,plain,
    product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))) )],[refute_0_6490,refute_0_6496]) ).

cnf(refute_0_6498,plain,
    ( product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))
    | product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))))),bind(Y,$fot(product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))))),bind(Z,$fot(product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_6499,plain,
    ( product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,b,c),product(product(a,b),bigC(a,b,c)))) )],[refute_0_6497,refute_0_6498]) ).

cnf(refute_0_6500,plain,
    product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) = product(bigC(a,a,c),product(b,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(product(a,b),bigC(a,b,c))),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6479,refute_0_6499]) ).

cnf(refute_0_6501,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),[0],$fot(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_6502,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b))),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6500,refute_0_6501]) ).

cnf(refute_0_6503,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))) != product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6478,refute_0_6502]) ).

cnf(refute_0_6504,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = product(bigC(a,a,c),product(b,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(a,b),bigC(a,b,bigC(c,a,b))),product(bigC(a,b,bigC(c,a,b)),difference(product(a,product(c,b)),product(a,b)))) )],[refute_0_6465,refute_0_6503]) ).

cnf(refute_0_6505,plain,
    bigC(c,product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6506,plain,
    ( bigC(a,b,c) != c
    | bigC(c,product(a,b),bigC(a,b,c)) != bigC(c,product(a,b),bigC(a,b,c))
    | bigC(c,product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),bigC(a,b,c)),bigC(c,product(a,b),bigC(a,b,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_6507,plain,
    ( bigC(a,b,c) != c
    | bigC(c,product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),bigC(a,b,c)),bigC(c,product(a,b),bigC(a,b,c))) )],[refute_0_6505,refute_0_6506]) ).

cnf(refute_0_6508,plain,
    bigC(c,product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_6507]) ).

cnf(refute_0_6509,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6510,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6511,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) )],[refute_0_6509,refute_0_6510]) ).

cnf(refute_0_6512,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_6511]) ).

cnf(refute_0_6513,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != bigC(c,product(a,b),bigC(a,b,c))
    | bigC(c,product(a,b),bigC(a,b,c)) != bigC(c,product(a,b),c)
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)))),bind(Y,$fot(bigC(c,product(a,b),bigC(a,b,c)))),bind(Z,$fot(bigC(c,product(a,b),c)))]]) ).

cnf(refute_0_6514,plain,
    ( bigC(c,product(a,b),bigC(a,b,c)) != bigC(c,product(a,b),c)
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(c,product(a,b),bigC(a,b,c))) )],[refute_0_6512,refute_0_6513]) ).

cnf(refute_0_6515,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(c,product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),bigC(a,b,c)),bigC(c,product(a,b),c)) )],[refute_0_6508,refute_0_6514]) ).

cnf(refute_0_6516,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != bigC(c,product(a,b),c)
    | bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)))),bind(Y,$fot(bigC(c,product(a,b),c))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_6517,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(c,product(a,b),c)) )],[refute_0_6515,refute_0_6516]) ).

cnf(refute_0_6518,plain,
    bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(b,a,product(a,b))) )],[refute_0_1517,refute_0_6517]) ).

cnf(refute_0_6519,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != bigC(b,a,product(a,b))
    | bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),[0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_6520,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(b,a,product(a,b))) )],[refute_0_6518,refute_0_6519]) ).

cnf(refute_0_6521,plain,
    product(b,bigC(a,b,c)) = product(b,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(b,bigC(a,b,c)))]]) ).

cnf(refute_0_6522,plain,
    ( bigC(a,b,c) != c
    | product(b,bigC(a,b,c)) != product(b,bigC(a,b,c))
    | product(b,bigC(a,b,c)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(a,b,c)),product(b,bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6523,plain,
    ( bigC(a,b,c) != c
    | product(b,bigC(a,b,c)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,c)),product(b,bigC(a,b,c))) )],[refute_0_6521,refute_0_6522]) ).

cnf(refute_0_6524,plain,
    product(b,bigC(a,b,c)) = product(b,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_6523]) ).

cnf(refute_0_6525,plain,
    product(bigC(a,a,c),product(b,bigC(a,b,c))) = product(bigC(a,a,c),product(b,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_6526,plain,
    ( product(b,bigC(a,b,c)) != product(b,c)
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_6527,plain,
    ( product(b,bigC(a,b,c)) != product(b,c)
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6525,refute_0_6526]) ).

cnf(refute_0_6528,plain,
    product(bigC(a,a,c),product(b,bigC(a,b,c))) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,c)),product(b,c)) )],[refute_0_6524,refute_0_6527]) ).

cnf(refute_0_6529,plain,
    ( bigC(b,a,product(a,b)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) != product(bigC(a,a,c),product(b,c))
    | bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,product(a,b)),product(bigC(a,a,c),product(b,c))) ),[0],$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_6530,plain,
    ( bigC(b,a,product(a,b)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(bigC(a,a,c),product(b,c))) )],[refute_0_6528,refute_0_6529]) ).

cnf(refute_0_6531,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6520,refute_0_6530]) ).

cnf(refute_0_6532,plain,
    bigC(b,a,product(a,b)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6504,refute_0_6531]) ).

cnf(refute_0_6533,plain,
    bigC(product(a,c),product(c,b),c) = product(product(a,b),product(c,product(a,c))),
    inference(subst,[],[refute_0_5117:[bind(X_19,$fot(c))]]) ).

cnf(refute_0_6534,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),product(c,product(a,c)))
    | product(c,product(a,c)) != bigC(c,c,a)
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,b),product(c,product(a,c)))) ),[1,1],$fot(bigC(c,c,a))]]) ).

cnf(refute_0_6535,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),product(c,product(a,c)))
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,c,a)) )],[refute_0_948,refute_0_6534]) ).

cnf(refute_0_6536,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),c),product(product(a,b),product(c,product(a,c)))) )],[refute_0_6533,refute_0_6535]) ).

cnf(refute_0_6537,plain,
    bigC(product(a,c),product(c,b),c) = bigC(product(a,c),c,product(c,b)),
    inference(subst,[],[refute_0_3062:[bind(B,$fot(product(c,b))),bind(C,$fot(c)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_6538,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_6539,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_6537,refute_0_6538]) ).

cnf(refute_0_6540,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_6541,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_6542,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_6540,refute_0_6541]) ).

cnf(refute_0_6543,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_601,refute_0_6542]) ).

cnf(refute_0_6544,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_6545,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_6543,refute_0_6544]) ).

cnf(refute_0_6546,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_6539,refute_0_6545]) ).

cnf(refute_0_6547,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_6536,refute_0_6546]) ).

cnf(refute_0_6548,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_6549,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_6550,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_6548,refute_0_6549]) ).

cnf(refute_0_6551,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_5589,refute_0_6550]) ).

cnf(refute_0_6552,plain,
    bigC(product(a,c),X_18,quotient(c,product(a,c))) = product(product(product(a,c),X_18),c),
    inference(subst,[],[refute_0_256:[bind(A,$fot(c)),bind(X_17,$fot(product(a,c)))]]) ).

cnf(refute_0_6553,plain,
    quotient(bigC(c,a,b),product(a,c)) = quotient(bigC(c,a,b),product(a,c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_6554,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),product(a,c)) != quotient(bigC(c,a,b),product(a,c))
    | quotient(bigC(c,a,b),product(a,c)) = quotient(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),product(a,c)),quotient(bigC(c,a,b),product(a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6555,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),product(a,c)) = quotient(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(a,c)),quotient(bigC(c,a,b),product(a,c))) )],[refute_0_6553,refute_0_6554]) ).

cnf(refute_0_6556,plain,
    quotient(bigC(c,a,b),product(a,c)) = quotient(c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_6555]) ).

cnf(refute_0_6557,plain,
    ( product(c,b) != quotient(bigC(c,a,b),product(a,c))
    | quotient(bigC(c,a,b),product(a,c)) != quotient(c,product(a,c))
    | product(c,b) = quotient(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,b),quotient(c,product(a,c))) ),[0],$fot(quotient(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_6558,plain,
    ( product(c,b) != quotient(bigC(c,a,b),product(a,c))
    | product(c,b) = quotient(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(a,c)),quotient(c,product(a,c))) )],[refute_0_6556,refute_0_6557]) ).

cnf(refute_0_6559,plain,
    product(c,b) = quotient(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,b),quotient(bigC(c,a,b),product(a,c))) )],[refute_0_4268,refute_0_6558]) ).

cnf(refute_0_6560,plain,
    ( product(c,b) != quotient(c,product(a,c))
    | quotient(c,product(a,c)) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(quotient(c,product(a,c))))]]) ).

cnf(refute_0_6561,plain,
    quotient(c,product(a,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),quotient(c,product(a,c))) )],[refute_0_6559,refute_0_6560]) ).

cnf(refute_0_6562,plain,
    ( bigC(product(a,c),X_18,quotient(c,product(a,c))) != product(product(product(a,c),X_18),c)
    | quotient(c,product(a,c)) != product(c,b)
    | bigC(product(a,c),X_18,product(c,b)) = product(product(product(a,c),X_18),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),X_18,quotient(c,product(a,c))),product(product(product(a,c),X_18),c)) ),[0,2],$fot(product(c,b))]]) ).

cnf(refute_0_6563,plain,
    ( bigC(product(a,c),X_18,quotient(c,product(a,c))) != product(product(product(a,c),X_18),c)
    | bigC(product(a,c),X_18,product(c,b)) = product(product(product(a,c),X_18),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,c)),product(c,b)) )],[refute_0_6561,refute_0_6562]) ).

cnf(refute_0_6564,plain,
    bigC(product(a,c),X_18,product(c,b)) = product(product(product(a,c),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_18,quotient(c,product(a,c))),product(product(product(a,c),X_18),c)) )],[refute_0_6552,refute_0_6563]) ).

cnf(refute_0_6565,plain,
    bigC(product(a,c),c,product(c,b)) = product(product(product(a,c),c),c),
    inference(subst,[],[refute_0_6564:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_6566,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(product(a,c),c),c)
    | product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | bigC(product(a,c),c,product(c,b)) = product(product(a,product(b,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),c,product(c,b)))),bind(Y,$fot(product(product(product(a,c),c),c))),bind(Z,$fot(product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_6567,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | 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(product(a,c),c),c)) )],[refute_0_6565,refute_0_6566]) ).

cnf(refute_0_6568,plain,
    bigC(product(a,c),c,product(c,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_6551,refute_0_6567]) ).

cnf(refute_0_6569,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)
    | product(product(a,product(b,c)),c) = 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,product(b,c)),c))]]) ).

cnf(refute_0_6570,plain,
    ( bigC(product(a,c),c,product(c,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(bigC(product(a,c),c,product(c,b)),product(product(a,product(b,c)),c)) )],[refute_0_6568,refute_0_6569]) ).

cnf(refute_0_6571,plain,
    product(product(a,product(b,c)),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_6547,refute_0_6570]) ).

cnf(refute_0_6572,plain,
    bigC(c,product(a,b),c) = product(product(c,product(a,b)),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_6573,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_6574,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_1833,refute_0_6573]) ).

cnf(refute_0_6575,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_6572,refute_0_6574]) ).

cnf(refute_0_6576,plain,
    ( bigC(c,product(a,b),c) != bigC(b,a,product(a,b))
    | bigC(c,product(a,b),c) != product(product(a,product(b,c)),c)
    | bigC(b,a,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(b,a,product(a,b)))]]) ).

cnf(refute_0_6577,plain,
    ( bigC(c,product(a,b),c) != product(product(a,product(b,c)),c)
    | bigC(b,a,product(a,b)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(b,a,product(a,b))) )],[refute_0_1517,refute_0_6576]) ).

cnf(refute_0_6578,plain,
    bigC(b,a,product(a,b)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),product(product(a,product(b,c)),c)) )],[refute_0_6575,refute_0_6577]) ).

cnf(refute_0_6579,plain,
    ( bigC(b,a,product(a,b)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,product(a,b)))),bind(Y,$fot(product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_6580,plain,
    product(product(a,product(b,c)),c) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(product(a,product(b,c)),c)) )],[refute_0_6578,refute_0_6579]) ).

cnf(refute_0_6581,plain,
    ( product(product(a,product(b,c)),c) != bigC(b,a,product(a,b))
    | product(product(a,product(b,c)),c) != product(product(a,b),bigC(c,a,c))
    | bigC(b,a,product(a,b)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(c,a,c))) ),[0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_6582,plain,
    ( product(product(a,product(b,c)),c) != product(product(a,b),bigC(c,a,c))
    | bigC(b,a,product(a,b)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(b,a,product(a,b))) )],[refute_0_6580,refute_0_6581]) ).

cnf(refute_0_6583,plain,
    bigC(b,a,product(a,b)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(c,a,c))) )],[refute_0_6571,refute_0_6582]) ).

cnf(refute_0_6584,plain,
    product(product(a,b),bigC(a,a,b)) = bigC(a,b,product(a,b)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(b)),bind(X_45,$fot(a)),bind(X_46,$fot(b))]]) ).

cnf(refute_0_6585,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_6586,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_6587,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_6585,refute_0_6586]) ).

cnf(refute_0_6588,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_1946,refute_0_6587]) ).

cnf(refute_0_6589,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_32:[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_6590,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_6588,refute_0_6589]) ).

cnf(refute_0_6591,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_6584,refute_0_6590]) ).

cnf(refute_0_6592,plain,
    ( bigC(b,a,product(a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) != bigC(a,b,product(a,b))
    | bigC(b,a,product(a,b)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) ),[0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_6593,plain,
    ( bigC(b,a,product(a,b)) != product(product(a,b),bigC(c,a,c))
    | bigC(b,a,product(a,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_6591,refute_0_6592]) ).

cnf(refute_0_6594,plain,
    bigC(b,a,product(a,b)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_6583,refute_0_6593]) ).

cnf(refute_0_6595,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | bigC(b,a,product(a,b)) != 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( $equal(bigC(b,a,product(a,b)),product(bigC(a,a,c),product(b,c))) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6596,plain,
    ( bigC(b,a,product(a,b)) != 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(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_6595]) ).

cnf(refute_0_6597,plain,
    bigC(a,b,product(a,b)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),product(bigC(a,a,c),product(b,c))) )],[refute_0_6532,refute_0_6596]) ).

cnf(refute_0_6598,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_16:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_6599,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_6597,refute_0_6598]) ).

cnf(refute_0_6600,plain,
    product(product(a,b),product(bigC(a,a,c),product(b,c))) = product(product(a,b),product(bigC(a,a,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_6601,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(product(a,b),product(bigC(a,a,c),product(b,c))) != product(product(a,b),product(bigC(a,a,c),product(b,c)))
    | product(product(a,b),product(bigC(a,a,c),product(b,c))) = product(product(a,b),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(bigC(a,a,c),product(b,c))),product(product(a,b),product(bigC(a,a,c),product(b,c)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6602,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(product(a,b),product(bigC(a,a,c),product(b,c))) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(a,a,c),product(b,c))),product(product(a,b),product(bigC(a,a,c),product(b,c)))) )],[refute_0_6600,refute_0_6601]) ).

cnf(refute_0_6603,plain,
    product(product(a,b),product(bigC(a,a,c),product(b,c))) = product(product(a,b),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_6599,refute_0_6602]) ).

cnf(refute_0_6604,plain,
    product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(product(a,b),product(b,bigC(c,a,b)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,b))),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_6605,plain,
    ( product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(a,b),product(b,bigC(c,a,b))))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(product(a,b),X_66),product(product(a,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_6606,plain,
    ( product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(product(a,b),product(b,bigC(c,a,b))))
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_1299,refute_0_6605]) ).

cnf(refute_0_6607,plain,
    product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(product(a,b),X_66),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(product(a,b),X_66),product(product(a,b),product(b,bigC(c,a,b))))) )],[refute_0_6604,refute_0_6606]) ).

cnf(refute_0_6608,plain,
    product(X_66,product(b,bigC(c,a,b))) = product(X_66,product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(X_66,product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_6609,plain,
    ( product(X_66,product(b,bigC(c,a,b))) != product(X_66,product(b,bigC(c,a,b)))
    | product(b,bigC(c,a,b)) != product(b,c)
    | product(X_66,product(b,bigC(c,a,b))) = product(X_66,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_66,product(b,bigC(c,a,b))),product(X_66,product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_6610,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(X_66,product(b,bigC(c,a,b))) = product(X_66,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(X_66,product(b,bigC(c,a,b))),product(X_66,product(b,bigC(c,a,b)))) )],[refute_0_6608,refute_0_6609]) ).

cnf(refute_0_6611,plain,
    product(X_66,product(b,bigC(c,a,b))) = product(X_66,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_2512,refute_0_6610]) ).

cnf(refute_0_6612,plain,
    product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_6613,plain,
    ( product(X_66,product(b,bigC(c,a,b))) != product(X_66,product(b,c))
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(a,b),product(X_66,product(b,bigC(c,a,b))))
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(a,b),product(X_66,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(a,b),product(X_66,product(b,bigC(c,a,b))))) ),[1,1],$fot(product(X_66,product(b,c)))]]) ).

cnf(refute_0_6614,plain,
    ( product(X_66,product(b,bigC(c,a,b))) != product(X_66,product(b,c))
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(a,b),product(X_66,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(a,b),product(X_66,product(b,bigC(c,a,b))))) )],[refute_0_6612,refute_0_6613]) ).

cnf(refute_0_6615,plain,
    product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) = product(product(a,b),product(X_66,product(b,c))),
    inference(resolve,[$cnf( $equal(product(X_66,product(b,bigC(c,a,b))),product(X_66,product(b,c))) )],[refute_0_6611,refute_0_6614]) ).

cnf(refute_0_6616,plain,
    ( product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(a,b),product(X_66,product(b,c)))
    | product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(c,b))
    | product(product(a,b),product(X_66,product(b,c))) = product(product(product(a,b),X_66),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(product(a,b),X_66),product(c,b))) ),[0],$fot(product(product(a,b),product(X_66,product(b,c))))]]) ).

cnf(refute_0_6617,plain,
    ( product(product(a,b),product(X_66,product(b,bigC(c,a,b)))) != product(product(product(a,b),X_66),product(c,b))
    | product(product(a,b),product(X_66,product(b,c))) = product(product(product(a,b),X_66),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(a,b),product(X_66,product(b,c)))) )],[refute_0_6615,refute_0_6616]) ).

cnf(refute_0_6618,plain,
    product(product(a,b),product(X_66,product(b,c))) = product(product(product(a,b),X_66),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,bigC(c,a,b)))),product(product(product(a,b),X_66),product(c,b))) )],[refute_0_6607,refute_0_6617]) ).

cnf(refute_0_6619,plain,
    product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6620,plain,
    ( product(product(a,b),bigC(a,b,bigC(c,a,b))) != difference(product(a,product(c,b)),product(a,b))
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(B,D))) ),[1,0],$fot(difference(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_6621,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),difference(product(a,product(c,b)),product(a,b))) )],[refute_0_6458,refute_0_6620]) ).

cnf(refute_0_6622,plain,
    product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(B,D))) )],[refute_0_6619,refute_0_6621]) ).

cnf(refute_0_6623,plain,
    product(bigC(a,b,bigC(c,a,b)),D) = product(bigC(a,b,bigC(c,a,b)),D),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,a,b)),D))]]) ).

cnf(refute_0_6624,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),D) != product(bigC(a,b,bigC(c,a,b)),D)
    | product(bigC(a,b,bigC(c,a,b)),D) = product(bigC(a,b,c),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),D),product(bigC(a,b,bigC(c,a,b)),D)) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6625,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),D) = product(bigC(a,b,c),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),D),product(bigC(a,b,bigC(c,a,b)),D)) )],[refute_0_6623,refute_0_6624]) ).

cnf(refute_0_6626,plain,
    product(bigC(a,b,bigC(c,a,b)),D) = product(bigC(a,b,c),D),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6625]) ).

cnf(refute_0_6627,plain,
    product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)))]]) ).

cnf(refute_0_6628,plain,
    ( product(bigC(a,b,bigC(c,a,b)),D) != product(bigC(a,b,c),D)
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D))
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D))) ),[1,1],$fot(product(bigC(a,b,c),D))]]) ).

cnf(refute_0_6629,plain,
    ( product(bigC(a,b,bigC(c,a,b)),D) != product(bigC(a,b,c),D)
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D))) )],[refute_0_6627,refute_0_6628]) ).

cnf(refute_0_6630,plain,
    product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),D),product(bigC(a,b,c),D)) )],[refute_0_6626,refute_0_6629]) ).

cnf(refute_0_6631,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(product(product(a,b),B),product(bigC(a,b,c),D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) ),[0],$fot(product(product(product(a,b),B),product(bigC(a,b,c),D)))]]) ).

cnf(refute_0_6632,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(product(product(a,b),B),product(bigC(a,b,c),D))) )],[refute_0_6630,refute_0_6631]) ).

cnf(refute_0_6633,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) = product(difference(product(a,product(c,b)),product(a,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,b)),product(B,D)))]]) ).

cnf(refute_0_6634,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(B,D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) ),[1,0],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6635,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(B,D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) )],[refute_0_6633,refute_0_6634]) ).

cnf(refute_0_6636,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_6635]) ).

cnf(refute_0_6637,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(B,D)) != product(product(product(a,b),bigC(a,b,c)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) ),[1],$fot(product(product(product(a,b),bigC(a,b,c)),product(B,D)))]]) ).

cnf(refute_0_6638,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(B,D)),product(product(product(a,b),bigC(a,b,c)),product(B,D))) )],[refute_0_6636,refute_0_6637]) ).

cnf(refute_0_6639,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)) != product(difference(product(a,product(c,b)),product(a,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) )],[refute_0_6632,refute_0_6638]) ).

cnf(refute_0_6640,plain,
    product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,bigC(c,a,b)),D)),product(difference(product(a,product(c,b)),product(a,b)),product(B,D))) )],[refute_0_6622,refute_0_6639]) ).

cnf(refute_0_6641,plain,
    difference(product(a,product(c,b)),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6642,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_42:[bind(A,$fot(product(a,c))),bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_6643,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(a,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)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(a,c),product(c,b))) ),[0,0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_6644,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(a,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(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_6643]) ).

cnf(refute_0_6645,plain,
    product(product(product(a,c),product(product(a,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(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_6642,refute_0_6644]) ).

cnf(refute_0_6646,plain,
    product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6647,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_6648,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6646,refute_0_6647]) ).

cnf(refute_0_6649,plain,
    product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(a,product(c,b))) )],[refute_0_6022,refute_0_6648]) ).

cnf(refute_0_6650,plain,
    product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(b)),bind(X_44,$fot(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6651,plain,
    product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(product(a,c))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(b)),bind(D,$fot(bigC(c,b,c))),bind(X_47,$fot(product(product(a,c),product(a,b))))]]) ).

cnf(refute_0_6652,plain,
    ( product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) != product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))))),bind(Y,$fot(product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))),bind(Z,$fot(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))))]]) ).

cnf(refute_0_6653,plain,
    ( product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))),product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6651,refute_0_6652]) ).

cnf(refute_0_6654,plain,
    product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6650,refute_0_6653]) ).

cnf(refute_0_6655,plain,
    ( product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) != product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))))),bind(Y,$fot(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))),bind(Z,$fot(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))))]]) ).

cnf(refute_0_6656,plain,
    ( product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))),product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6654,refute_0_6655]) ).

cnf(refute_0_6657,plain,
    product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6649,refute_0_6656]) ).

cnf(refute_0_6658,plain,
    product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))),
    inference(subst,[],[refute_0_3331:[bind(A,$fot(product(a,c))),bind(C,$fot(product(a,b))),bind(X_23,$fot(product(a,c))),bind(X_24,$fot(b)),bind(X_25,$fot(bigC(a,a,c))),bind(X_26,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_6659,plain,
    ( product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))))),bind(Y,$fot(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))))),bind(Z,$fot(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))))]]) ).

cnf(refute_0_6660,plain,
    ( product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c))))) )],[refute_0_6658,refute_0_6659]) ).

cnf(refute_0_6661,plain,
    product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(product(a,c),bigC(a,a,c)),product(b,bigC(c,b,c)))),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6657,refute_0_6660]) ).

cnf(refute_0_6662,plain,
    product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_6663,plain,
    product(b,product(product(c,b),c)) = product(b,product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(b,product(product(c,b),c)))]]) ).

cnf(refute_0_6664,plain,
    ( product(b,product(product(c,b),c)) != product(b,product(product(c,b),c))
    | product(product(c,b),c) != bigC(c,b,c)
    | product(b,product(product(c,b),c)) = product(b,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(c,b),c)),product(b,product(product(c,b),c))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_6665,plain,
    ( product(product(c,b),c) != bigC(c,b,c)
    | product(b,product(product(c,b),c)) = product(b,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),c)),product(b,product(product(c,b),c))) )],[refute_0_6663,refute_0_6664]) ).

cnf(refute_0_6666,plain,
    product(b,product(product(c,b),c)) = product(b,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_1037,refute_0_6665]) ).

cnf(refute_0_6667,plain,
    product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))))]]) ).

cnf(refute_0_6668,plain,
    ( product(b,product(product(c,b),c)) != product(b,bigC(c,b,c))
    | product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) != product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c)))
    | product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))),product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c)))) ),[1,1],$fot(product(b,bigC(c,b,c)))]]) ).

cnf(refute_0_6669,plain,
    ( product(b,product(product(c,b),c)) != product(b,bigC(c,b,c))
    | product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))),product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c)))) )],[refute_0_6667,refute_0_6668]) ).

cnf(refute_0_6670,plain,
    product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),c)),product(b,bigC(c,b,c))) )],[refute_0_6666,refute_0_6669]) ).

cnf(refute_0_6671,plain,
    product(a,bigC(a,c,a)) = product(a,bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(a,bigC(a,c,a)))]]) ).

cnf(refute_0_6672,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(a,bigC(a,c,a)) != product(a,bigC(a,c,a))
    | product(a,bigC(a,c,a)) = product(a,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(a,c,a)),product(a,bigC(a,c,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_6673,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(a,bigC(a,c,a)) = product(a,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,c,a)),product(a,bigC(a,c,a))) )],[refute_0_6671,refute_0_6672]) ).

cnf(refute_0_6674,plain,
    product(a,bigC(a,c,a)) = product(a,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_407,refute_0_6673]) ).

cnf(refute_0_6675,plain,
    bigC(a,a,product(a,c)) = product(a,bigC(a,c,a)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(c)),bind(X_35,$fot(a))]]) ).

cnf(refute_0_6676,plain,
    ( bigC(a,a,product(a,c)) != product(a,bigC(a,c,a))
    | product(a,bigC(a,c,a)) != product(a,bigC(a,a,c))
    | bigC(a,a,product(a,c)) = product(a,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,a,product(a,c)))),bind(Y,$fot(product(a,bigC(a,c,a)))),bind(Z,$fot(product(a,bigC(a,a,c))))]]) ).

cnf(refute_0_6677,plain,
    ( product(a,bigC(a,c,a)) != product(a,bigC(a,a,c))
    | bigC(a,a,product(a,c)) = product(a,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(a,c)),product(a,bigC(a,c,a))) )],[refute_0_6675,refute_0_6676]) ).

cnf(refute_0_6678,plain,
    bigC(a,a,product(a,c)) = product(a,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,c,a)),product(a,bigC(a,a,c))) )],[refute_0_6674,refute_0_6677]) ).

cnf(refute_0_6679,plain,
    product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))))]]) ).

cnf(refute_0_6680,plain,
    ( bigC(a,a,product(a,c)) != product(a,bigC(a,a,c))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) != product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c)))) ),[1,0],$fot(product(a,bigC(a,a,c)))]]) ).

cnf(refute_0_6681,plain,
    ( bigC(a,a,product(a,c)) != product(a,bigC(a,a,c))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c)))) )],[refute_0_6679,refute_0_6680]) ).

cnf(refute_0_6682,plain,
    product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(a,c)),product(a,bigC(a,a,c))) )],[refute_0_6678,refute_0_6681]) ).

cnf(refute_0_6683,plain,
    ( product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) != product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c)))
    | product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) != product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))))),bind(Y,$fot(product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))))),bind(Z,$fot(product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))))]]) ).

cnf(refute_0_6684,plain,
    ( product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))) != product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c)))) )],[refute_0_6682,refute_0_6683]) ).

cnf(refute_0_6685,plain,
    product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),product(b,product(product(c,b),c))),product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))) )],[refute_0_6670,refute_0_6684]) ).

cnf(refute_0_6686,plain,
    ( product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) != product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))
    | product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))))),bind(Y,$fot(product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))))),bind(Z,$fot(product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6687,plain,
    ( product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c)))) )],[refute_0_6685,refute_0_6686]) ).

cnf(refute_0_6688,plain,
    product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),product(b,bigC(c,b,c))),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6662,refute_0_6687]) ).

cnf(refute_0_6689,plain,
    bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) = product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),
    inference(subst,[],[refute_0_5132:[bind(A,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_6690,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) != product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c)))
    | product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))),bind(Y,$fot(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))))),bind(Z,$fot(product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6691,plain,
    ( product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))),product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c)))) )],[refute_0_6689,refute_0_6690]) ).

cnf(refute_0_6692,plain,
    bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) = product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(a,c)),product(b,product(product(c,b),c))),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6688,refute_0_6691]) ).

cnf(refute_0_6693,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_6694,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))
    | product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))) ),[1,1],$fot(product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6695,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))) != product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))) )],[refute_0_6693,refute_0_6694]) ).

cnf(refute_0_6696,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6692,refute_0_6695]) ).

cnf(refute_0_6697,plain,
    product(product(a,c),product(product(a,b),product(c,b))) = product(product(a,c),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_6698,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,c),product(product(a,b),product(c,b))) != product(product(a,c),product(product(a,b),product(c,b)))
    | product(product(a,c),product(product(a,b),product(c,b))) = product(product(a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(a,b),product(c,b))),product(product(a,c),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_6699,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,c),product(product(a,b),product(c,b))) = product(product(a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),product(c,b))),product(product(a,c),product(product(a,b),product(c,b)))) )],[refute_0_6697,refute_0_6698]) ).

cnf(refute_0_6700,plain,
    product(product(a,c),product(product(a,b),product(c,b))) = product(product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_1152,refute_0_6699]) ).

cnf(refute_0_6701,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,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(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_6702,plain,
    ( product(product(a,c),product(product(a,b),product(c,b))) != product(product(a,c),product(product(a,c),b))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))) ),[1,0],$fot(product(product(a,c),product(product(a,c),b)))]]) ).

cnf(refute_0_6703,plain,
    ( product(product(a,c),product(product(a,b),product(c,b))) != product(product(a,c),product(product(a,c),b))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))) )],[refute_0_6701,refute_0_6702]) ).

cnf(refute_0_6704,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),product(c,b))),product(product(a,c),product(product(a,c),b))) )],[refute_0_6700,refute_0_6703]) ).

cnf(refute_0_6705,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))
    | product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))))),bind(Y,$fot(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))))),bind(Z,$fot(product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))))]]) ).

cnf(refute_0_6706,plain,
    ( product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,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(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b))))) )],[refute_0_6704,refute_0_6705]) ).

cnf(refute_0_6707,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6696,refute_0_6706]) ).

cnf(refute_0_6708,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))))),bind(Y,$fot(product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))))),bind(Z,$fot(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))))]]) ).

cnf(refute_0_6709,plain,
    ( product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,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(product(a,c),product(c,b)))),product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6707,refute_0_6708]) ).

cnf(refute_0_6710,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(product(a,b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6661,refute_0_6709]) ).

cnf(refute_0_6711,plain,
    ( product(product(product(a,c),product(product(a,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(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))
    | product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(a,c),product(c,b))) ),[0],$fot(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6712,plain,
    ( product(product(product(a,c),product(product(a,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(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) )],[refute_0_6710,refute_0_6711]) ).

cnf(refute_0_6713,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,c),product(c,b))
    | product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(a,c),product(c,b))) ),[1],$fot(product(a,b))]]) ).

cnf(refute_0_6714,plain,
    ( product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(product(a,c),product(c,b))
    | product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_6713]) ).

cnf(refute_0_6715,plain,
    ( product(product(product(a,c),product(product(a,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(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(product(a,c),product(c,b))) )],[refute_0_6712,refute_0_6714]) ).

cnf(refute_0_6716,plain,
    product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,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_6645,refute_0_6715]) ).

cnf(refute_0_6717,plain,
    ( difference(product(a,product(c,b)),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) != product(a,b)
    | difference(product(a,product(c,b)),product(a,b)) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(c,b)),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_6718,plain,
    ( difference(product(a,product(c,b)),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | difference(product(a,product(c,b)),product(a,b)) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))),product(a,b)) )],[refute_0_6716,refute_0_6717]) ).

cnf(refute_0_6719,plain,
    difference(product(a,product(c,b)),product(a,b)) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(product(a,product(c,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6641,refute_0_6718]) ).

cnf(refute_0_6720,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | difference(product(a,product(c,b)),product(a,b)) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),[0],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6721,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_6720]) ).

cnf(refute_0_6722,plain,
    difference(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(product(bigC(c,a,b),a),product(a,c)))),bind(B,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6723,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,[],[refute_0_11:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_6724,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_6725,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_597,refute_0_6724]) ).

cnf(refute_0_6726,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_6723,refute_0_6725]) ).

cnf(refute_0_6727,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_6728,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_6729,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_6727,refute_0_6728]) ).

cnf(refute_0_6730,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_647,refute_0_6729]) ).

cnf(refute_0_6731,plain,
    product(product(a,c),a) = bigC(a,c,a),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(a)),bind(X_18,$fot(c))]]) ).

cnf(refute_0_6732,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_32:[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_6733,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_6731,refute_0_6732]) ).

cnf(refute_0_6734,plain,
    product(product(a,c),a) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_407,refute_0_6733]) ).

cnf(refute_0_6735,plain,
    product(product(product(a,c),a),bigC(c,c,b)) = product(product(product(a,c),a),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),bigC(c,c,b)))]]) ).

cnf(refute_0_6736,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),bigC(c,c,b)) != product(product(product(a,c),a),bigC(c,c,b))
    | product(product(product(a,c),a),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),bigC(c,c,b)),product(product(product(a,c),a),bigC(c,c,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_6737,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),bigC(c,c,b)),product(product(product(a,c),a),bigC(c,c,b))) )],[refute_0_6735,refute_0_6736]) ).

cnf(refute_0_6738,plain,
    product(product(product(a,c),a),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_6734,refute_0_6737]) ).

cnf(refute_0_6739,plain,
    ( product(bigC(a,a,c),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(a,c),a),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,c,b))
    | product(product(product(a,c),a),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),a),bigC(c,c,b)))),bind(Y,$fot(product(bigC(a,a,c),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6740,plain,
    ( product(bigC(a,a,c),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(a,c),a),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),bigC(c,c,b)),product(bigC(a,a,c),bigC(c,c,b))) )],[refute_0_6738,refute_0_6739]) ).

cnf(refute_0_6741,plain,
    product(product(product(a,c),a),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,b,c))) )],[refute_0_6730,refute_0_6740]) ).

cnf(refute_0_6742,plain,
    product(product(product(a,c),c),product(a,product(b,c))) = product(product(product(a,c),a),bigC(c,c,b)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(a)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_6743,plain,
    ( product(product(product(a,c),a),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(a,c),c),product(a,product(b,c))) != product(product(product(a,c),a),bigC(c,c,b))
    | product(product(product(a,c),c),product(a,product(b,c))) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),c),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,c),a),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6744,plain,
    ( product(product(product(a,c),a),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(a,c),c),product(a,product(b,c))) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(a,product(b,c))),product(product(product(a,c),a),bigC(c,c,b))) )],[refute_0_6742,refute_0_6743]) ).

cnf(refute_0_6745,plain,
    product(product(product(a,c),c),product(a,product(b,c))) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),bigC(c,c,b)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6741,refute_0_6744]) ).

cnf(refute_0_6746,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))))]]) ).

cnf(refute_0_6747,plain,
    ( product(product(product(a,c),c),product(a,product(b,c))) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))) ),[1,1],$fot(product(bigC(a,a,c),bigC(c,b,c)))]]) ).

cnf(refute_0_6748,plain,
    ( product(product(product(a,c),c),product(a,product(b,c))) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))) )],[refute_0_6746,refute_0_6747]) ).

cnf(refute_0_6749,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(a,product(b,c))),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6745,refute_0_6748]) ).

cnf(refute_0_6750,plain,
    product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),
    inference(subst,[],[refute_0_3493:[bind(A,$fot(product(bigC(c,a,b),a))),bind(C,$fot(product(product(a,c),c))),bind(X_23,$fot(a)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_6751,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))),
    inference(subst,[],[refute_0_811:[bind(B,$fot(product(a,a))),bind(D,$fot(product(c,product(b,c)))),bind(X_23,$fot(bigC(c,a,b))),bind(X_24,$fot(product(a,c))),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6752,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c))))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))))),bind(Y,$fot(product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))))),bind(Z,$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))))]]) ).

cnf(refute_0_6753,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))),product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c))))) )],[refute_0_6751,refute_0_6752]) ).

cnf(refute_0_6754,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,a),product(c,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))) )],[refute_0_6750,refute_0_6753]) ).

cnf(refute_0_6755,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),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))),
    inference(subst,[],[refute_0_3493:[bind(A,$fot(product(bigC(c,a,b),product(a,c)))),bind(C,$fot(product(a,c))),bind(X_23,$fot(a)),bind(X_24,$fot(a)),bind(X_25,$fot(c)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_6756,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),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),product(a,c)),product(a,a)),product(product(a,c),product(c,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)),product(product(product(a,c),c),product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[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),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))))),bind(Z,$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))))]]) ).

cnf(refute_0_6757,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),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)),product(product(product(a,c),c),product(a,product(b,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),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c))))) )],[refute_0_6755,refute_0_6756]) ).

cnf(refute_0_6758,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)),product(product(product(a,c),c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,a)),product(product(a,c),product(c,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c))))) )],[refute_0_6754,refute_0_6757]) ).

cnf(refute_0_6759,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,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)),product(product(product(a,c),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)),product(bigC(a,a,c),bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[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(a,c)),product(product(product(a,c),c),product(a,product(b,c)))))),bind(Z,$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))))]]) ).

cnf(refute_0_6760,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,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)),product(bigC(a,a,c),bigC(c,b,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)),product(product(product(a,c),c),product(a,product(b,c))))) )],[refute_0_6758,refute_0_6759]) ).

cnf(refute_0_6761,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)),product(bigC(a,a,c),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(a,c),c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6749,refute_0_6760]) ).

cnf(refute_0_6762,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)),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))),product(a,c)) ),[0],$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6763,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)),product(bigC(a,a,c),bigC(c,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(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6761,refute_0_6762]) ).

cnf(refute_0_6764,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,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(a,product(b,c)))),product(a,c)) )],[refute_0_6726,refute_0_6763]) ).

cnf(refute_0_6765,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))) != product(bigC(a,a,c),bigC(c,b,c))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) != product(a,c)
    | difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))),product(bigC(a,a,c),bigC(c,b,c))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_6766,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))) != product(bigC(a,a,c),bigC(c,b,c))
    | difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))),product(a,c)) )],[refute_0_6764,refute_0_6765]) ).

cnf(refute_0_6767,plain,
    difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c)))),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6722,refute_0_6766]) ).

cnf(refute_0_6768,plain,
    difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_6769,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) != difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c))
    | product(product(bigC(c,a,b),a),product(a,c)) != bigC(c,a,a)
    | difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = difference(bigC(c,a,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c))) ),[1,0],$fot(bigC(c,a,a))]]) ).

cnf(refute_0_6770,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != bigC(c,a,a)
    | difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = difference(bigC(c,a,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c))) )],[refute_0_6768,refute_0_6769]) ).

cnf(refute_0_6771,plain,
    difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) = difference(bigC(c,a,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,a,a)) )],[refute_0_2319,refute_0_6770]) ).

cnf(refute_0_6772,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) != difference(bigC(c,a,a),product(a,c))
    | difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | difference(bigC(c,a,a),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) ),[0],$fot(difference(bigC(c,a,a),product(a,c)))]]) ).

cnf(refute_0_6773,plain,
    ( difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | difference(bigC(c,a,a),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),difference(bigC(c,a,a),product(a,c))) )],[refute_0_6771,refute_0_6772]) ).

cnf(refute_0_6774,plain,
    difference(bigC(c,a,a),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),a),product(a,c)),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6767,refute_0_6773]) ).

cnf(refute_0_6775,plain,
    ( difference(bigC(c,a,a),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = difference(bigC(c,a,a),product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,a,a),product(a,c)))),bind(Y,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6776,plain,
    product(bigC(a,a,c),bigC(c,b,c)) = difference(bigC(c,a,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6774,refute_0_6775]) ).

cnf(refute_0_6777,plain,
    product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6778,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != difference(bigC(c,a,a),product(a,c))
    | product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) ),[1,1],$fot(difference(bigC(c,a,a),product(a,c)))]]) ).

cnf(refute_0_6779,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != difference(bigC(c,a,a),product(a,c))
    | product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6777,refute_0_6778]) ).

cnf(refute_0_6780,plain,
    product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),difference(bigC(c,a,a),product(a,c))) )],[refute_0_6776,refute_0_6779]) ).

cnf(refute_0_6781,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),bigC(a,b,c)),product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))) ),[0],$fot(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_6782,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))) )],[refute_0_6780,refute_0_6781]) ).

cnf(refute_0_6783,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,c)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6721,refute_0_6782]) ).

cnf(refute_0_6784,plain,
    product(product(a,b),bigC(a,b,c)) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(product(a,c),b),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_6719,refute_0_6783]) ).

cnf(refute_0_6785,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(product(a,c),X_66),product(product(a,c),bigC(c,a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,c))),bind(X_25,$fot(X_66)),bind(X_26,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_6786,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(product(a,c),X_66),product(product(a,c),bigC(c,a,b)))
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(product(a,c),X_66),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(product(a,c),X_66),product(product(a,c),bigC(c,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6787,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(product(a,c),X_66),product(product(a,c),bigC(c,a,b)))
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(product(a,c),X_66),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_6786]) ).

cnf(refute_0_6788,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(product(a,c),X_66),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(product(a,c),X_66),product(product(a,c),bigC(c,a,b)))) )],[refute_0_6785,refute_0_6787]) ).

cnf(refute_0_6789,plain,
    product(bigC(a,c,a),product(X_66,product(b,c))) = bigC(product(a,c),X_66,product(a,b)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_66)),bind(X_23,$fot(a)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6790,plain,
    product(product(product(a,c),X_66),product(a,product(b,c))) = product(bigC(a,c,a),product(X_66,product(b,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(X_66)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_6791,plain,
    ( product(bigC(a,c,a),product(X_66,product(b,c))) != bigC(product(a,c),X_66,product(a,b))
    | product(product(product(a,c),X_66),product(a,product(b,c))) != product(bigC(a,c,a),product(X_66,product(b,c)))
    | product(product(product(a,c),X_66),product(a,product(b,c))) = bigC(product(a,c),X_66,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),X_66),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,c,a),product(X_66,product(b,c))))),bind(Z,$fot(bigC(product(a,c),X_66,product(a,b))))]]) ).

cnf(refute_0_6792,plain,
    ( product(bigC(a,c,a),product(X_66,product(b,c))) != bigC(product(a,c),X_66,product(a,b))
    | product(product(product(a,c),X_66),product(a,product(b,c))) = bigC(product(a,c),X_66,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_66),product(a,product(b,c))),product(bigC(a,c,a),product(X_66,product(b,c)))) )],[refute_0_6790,refute_0_6791]) ).

cnf(refute_0_6793,plain,
    product(product(product(a,c),X_66),product(a,product(b,c))) = bigC(product(a,c),X_66,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(X_66,product(b,c))),bigC(product(a,c),X_66,product(a,b))) )],[refute_0_6789,refute_0_6792]) ).

cnf(refute_0_6794,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(product(a,c),X_66),product(a,product(b,c)))
    | product(product(product(a,c),X_66),product(a,product(b,c))) != bigC(product(a,c),X_66,product(a,b))
    | product(product(a,c),product(X_66,bigC(c,a,b))) = bigC(product(a,c),X_66,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),product(X_66,bigC(c,a,b))),bigC(product(a,c),X_66,product(a,b))) ),[0],$fot(product(product(product(a,c),X_66),product(a,product(b,c))))]]) ).

cnf(refute_0_6795,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(product(a,c),X_66),product(a,product(b,c)))
    | product(product(a,c),product(X_66,bigC(c,a,b))) = bigC(product(a,c),X_66,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_66),product(a,product(b,c))),bigC(product(a,c),X_66,product(a,b))) )],[refute_0_6793,refute_0_6794]) ).

cnf(refute_0_6796,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = bigC(product(a,c),X_66,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(product(a,c),X_66),product(a,product(b,c)))) )],[refute_0_6788,refute_0_6795]) ).

cnf(refute_0_6797,plain,
    product(product(a,c),product(X_66,c)) = product(product(a,X_66),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(a)),bind(X_24,$fot(X_66)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6798,plain,
    product(X_66,bigC(c,a,b)) = product(X_66,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(X_66,bigC(c,a,b)))]]) ).

cnf(refute_0_6799,plain,
    ( bigC(c,a,b) != c
    | product(X_66,bigC(c,a,b)) != product(X_66,bigC(c,a,b))
    | product(X_66,bigC(c,a,b)) = product(X_66,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_66,bigC(c,a,b)),product(X_66,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6800,plain,
    ( bigC(c,a,b) != c
    | product(X_66,bigC(c,a,b)) = product(X_66,c) ),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(c,a,b)),product(X_66,bigC(c,a,b))) )],[refute_0_6798,refute_0_6799]) ).

cnf(refute_0_6801,plain,
    product(X_66,bigC(c,a,b)) = product(X_66,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_6800]) ).

cnf(refute_0_6802,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,c),product(X_66,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(X_66,bigC(c,a,b))))]]) ).

cnf(refute_0_6803,plain,
    ( product(X_66,bigC(c,a,b)) != product(X_66,c)
    | product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(a,c),product(X_66,bigC(c,a,b)))
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,c),product(X_66,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(a,c),product(X_66,bigC(c,a,b)))) ),[1,1],$fot(product(X_66,c))]]) ).

cnf(refute_0_6804,plain,
    ( product(X_66,bigC(c,a,b)) != product(X_66,c)
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,c),product(X_66,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(a,c),product(X_66,bigC(c,a,b)))) )],[refute_0_6802,refute_0_6803]) ).

cnf(refute_0_6805,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,c),product(X_66,c)),
    inference(resolve,[$cnf( $equal(product(X_66,bigC(c,a,b)),product(X_66,c)) )],[refute_0_6801,refute_0_6804]) ).

cnf(refute_0_6806,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(a,c),product(X_66,c))
    | product(product(a,c),product(X_66,c)) != product(product(a,X_66),c)
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,X_66),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(X_66,bigC(c,a,b))))),bind(Y,$fot(product(product(a,c),product(X_66,c)))),bind(Z,$fot(product(product(a,X_66),c)))]]) ).

cnf(refute_0_6807,plain,
    ( product(product(a,c),product(X_66,c)) != product(product(a,X_66),c)
    | product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,X_66),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(a,c),product(X_66,c))) )],[refute_0_6805,refute_0_6806]) ).

cnf(refute_0_6808,plain,
    product(product(a,c),product(X_66,bigC(c,a,b))) = product(product(a,X_66),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,c)),product(product(a,X_66),c)) )],[refute_0_6797,refute_0_6807]) ).

cnf(refute_0_6809,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != bigC(product(a,c),X_66,product(a,b))
    | product(product(a,c),product(X_66,bigC(c,a,b))) != product(product(a,X_66),c)
    | product(product(a,X_66),c) = bigC(product(a,c),X_66,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),bigC(product(a,c),X_66,product(a,b))) ),[0],$fot(product(product(a,X_66),c))]]) ).

cnf(refute_0_6810,plain,
    ( product(product(a,c),product(X_66,bigC(c,a,b))) != bigC(product(a,c),X_66,product(a,b))
    | product(product(a,X_66),c) = bigC(product(a,c),X_66,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),product(product(a,X_66),c)) )],[refute_0_6808,refute_0_6809]) ).

cnf(refute_0_6811,plain,
    product(product(a,X_66),c) = bigC(product(a,c),X_66,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(c,a,b))),bigC(product(a,c),X_66,product(a,b))) )],[refute_0_6796,refute_0_6810]) ).

cnf(refute_0_6812,plain,
    ( product(product(a,X_66),c) != bigC(product(a,c),X_66,product(a,b))
    | bigC(product(a,c),X_66,product(a,b)) = product(product(a,X_66),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,X_66),c))),bind(Y,$fot(bigC(product(a,c),X_66,product(a,b))))]]) ).

cnf(refute_0_6813,plain,
    bigC(product(a,c),X_66,product(a,b)) = product(product(a,X_66),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_66),c),bigC(product(a,c),X_66,product(a,b))) )],[refute_0_6811,refute_0_6812]) ).

cnf(refute_0_6814,plain,
    bigC(product(a,c),b,product(a,b)) = product(product(a,b),c),
    inference(subst,[],[refute_0_6813:[bind(X_66,$fot(b))]]) ).

cnf(refute_0_6815,plain,
    product(bigC(a,c,a),product(b,product(b,c))) = bigC(product(a,c),b,product(a,b)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(b)),bind(X_23,$fot(a)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6816,plain,
    ( bigC(product(a,c),b,product(a,b)) != product(product(a,b),c)
    | product(bigC(a,c,a),product(b,product(b,c))) != bigC(product(a,c),b,product(a,b))
    | product(bigC(a,c,a),product(b,product(b,c))) = product(product(a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,c,a),product(b,product(b,c))))),bind(Y,$fot(bigC(product(a,c),b,product(a,b)))),bind(Z,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_6817,plain,
    ( bigC(product(a,c),b,product(a,b)) != product(product(a,b),c)
    | product(bigC(a,c,a),product(b,product(b,c))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,c))),bigC(product(a,c),b,product(a,b))) )],[refute_0_6815,refute_0_6816]) ).

cnf(refute_0_6818,plain,
    product(bigC(a,c,a),product(b,product(b,c))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(a,b)),product(product(a,b),c)) )],[refute_0_6814,refute_0_6817]) ).

cnf(refute_0_6819,plain,
    product(product(product(a,c),b),product(a,product(b,c))) = product(bigC(a,c,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(b)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_6820,plain,
    ( product(bigC(a,c,a),product(b,product(b,c))) != product(product(a,b),c)
    | product(product(product(a,c),b),product(a,product(b,c))) != product(bigC(a,c,a),product(b,product(b,c)))
    | product(product(product(a,c),b),product(a,product(b,c))) = product(product(a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),b),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,c,a),product(b,product(b,c))))),bind(Z,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_6821,plain,
    ( product(bigC(a,c,a),product(b,product(b,c))) != product(product(a,b),c)
    | product(product(product(a,c),b),product(a,product(b,c))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,c))),product(bigC(a,c,a),product(b,product(b,c)))) )],[refute_0_6819,refute_0_6820]) ).

cnf(refute_0_6822,plain,
    product(product(product(a,c),b),product(a,product(b,c))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,c))),product(product(a,b),c)) )],[refute_0_6818,refute_0_6821]) ).

cnf(refute_0_6823,plain,
    product(bigC(a,a,c),bigC(c,b,c)) = product(bigC(a,a,c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),bigC(c,b,c)))]]) ).

cnf(refute_0_6824,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,a,c),bigC(c,b,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(bigC(a,a,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(bigC(a,a,c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_6825,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,a,c),bigC(c,b,c)) = product(bigC(a,a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6823,refute_0_6824]) ).

cnf(refute_0_6826,plain,
    product(bigC(a,a,c),bigC(c,b,c)) = product(bigC(a,a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_6825]) ).

cnf(refute_0_6827,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | product(bigC(a,a,c),bigC(c,b,c)) != product(bigC(a,a,c),bigC(b,a,b))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),bigC(c,b,c)))),bind(Y,$fot(product(bigC(a,a,c),bigC(b,a,b)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_6828,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,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(bigC(a,a,c),bigC(b,a,b))) )],[refute_0_6826,refute_0_6827]) ).

cnf(refute_0_6829,plain,
    product(bigC(a,a,c),bigC(c,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_1772,refute_0_6828]) ).

cnf(refute_0_6830,plain,
    ( difference(bigC(c,a,a),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | difference(bigC(c,a,a),product(a,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,a,a),product(a,c)),product(a,product(b,c))) ),[0],$fot(product(bigC(a,a,c),bigC(c,b,c)))]]) ).

cnf(refute_0_6831,plain,
    ( difference(bigC(c,a,a),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | difference(bigC(c,a,a),product(a,c)) = 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_6829,refute_0_6830]) ).

cnf(refute_0_6832,plain,
    difference(bigC(c,a,a),product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_6774,refute_0_6831]) ).

cnf(refute_0_6833,plain,
    product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))))]]) ).

cnf(refute_0_6834,plain,
    ( difference(bigC(c,a,a),product(a,c)) != product(a,product(b,c))
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) != product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(product(a,c),b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6835,plain,
    ( difference(bigC(c,a,a),product(a,c)) != product(a,product(b,c))
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(product(a,c),b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))) )],[refute_0_6833,refute_0_6834]) ).

cnf(refute_0_6836,plain,
    product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(product(a,c),b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,a),product(a,c)),product(a,product(b,c))) )],[refute_0_6832,refute_0_6835]) ).

cnf(refute_0_6837,plain,
    ( product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) != product(product(product(a,c),b),product(a,product(b,c)))
    | product(product(product(a,c),b),product(a,product(b,c))) != product(product(a,b),c)
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))))),bind(Y,$fot(product(product(product(a,c),b),product(a,product(b,c))))),bind(Z,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_6838,plain,
    ( product(product(product(a,c),b),product(a,product(b,c))) != product(product(a,b),c)
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),product(product(product(a,c),b),product(a,product(b,c)))) )],[refute_0_6836,refute_0_6837]) ).

cnf(refute_0_6839,plain,
    product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,c))),product(product(a,b),c)) )],[refute_0_6822,refute_0_6838]) ).

cnf(refute_0_6840,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))
    | product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))) != product(product(a,b),c)
    | product(product(a,b),bigC(a,b,c)) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),bigC(a,b,c)),product(product(a,b),c)) ),[0],$fot(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))))]]) ).

cnf(refute_0_6841,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))
    | product(product(a,b),bigC(a,b,c)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c))),product(product(a,b),c)) )],[refute_0_6839,refute_0_6840]) ).

cnf(refute_0_6842,plain,
    product(product(a,b),bigC(a,b,c)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,c)),product(product(product(a,c),b),difference(bigC(c,a,a),product(a,c)))) )],[refute_0_6784,refute_0_6841]) ).

cnf(refute_0_6843,plain,
    product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),bigC(a,b,c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(a,b,c)),product(B,D)))]]) ).

cnf(refute_0_6844,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | product(product(product(a,b),bigC(a,b,c)),product(B,D)) != product(product(product(a,b),bigC(a,b,c)),product(B,D))
    | product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(B,D)),product(product(product(a,b),bigC(a,b,c)),product(B,D))) ),[1,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_6845,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(B,D)),product(product(product(a,b),bigC(a,b,c)),product(B,D))) )],[refute_0_6843,refute_0_6844]) ).

cnf(refute_0_6846,plain,
    product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,c)),product(product(a,b),c)) )],[refute_0_6842,refute_0_6845]) ).

cnf(refute_0_6847,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),bigC(a,b,c)),product(B,D))
    | product(product(product(a,b),bigC(a,b,c)),product(B,D)) != product(product(product(a,b),c),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),c),product(B,D))) ),[0],$fot(product(product(product(a,b),bigC(a,b,c)),product(B,D)))]]) ).

cnf(refute_0_6848,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),bigC(a,b,c)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(B,D)),product(product(product(a,b),c),product(B,D))) )],[refute_0_6846,refute_0_6847]) ).

cnf(refute_0_6849,plain,
    product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),bigC(a,b,c)),product(B,D))) )],[refute_0_6640,refute_0_6848]) ).

cnf(refute_0_6850,plain,
    product(product(product(a,b),c),product(B,D)) = product(product(product(a,b),c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),product(B,D)))]]) ).

cnf(refute_0_6851,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(B,D)) != product(product(product(a,b),c),product(B,D))
    | product(product(product(a,b),c),product(B,D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),product(B,D)),product(product(product(a,b),c),product(B,D))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6852,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(B,D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(B,D)),product(product(product(a,b),c),product(B,D))) )],[refute_0_6850,refute_0_6851]) ).

cnf(refute_0_6853,plain,
    product(product(product(a,b),c),product(B,D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_6852]) ).

cnf(refute_0_6854,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),c),product(B,D))
    | product(product(product(a,b),c),product(B,D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(product(a,b),c),product(B,D)))]]) ).

cnf(refute_0_6855,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),c),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(B,D)),product(product(c,product(c,b)),product(B,D))) )],[refute_0_6853,refute_0_6854]) ).

cnf(refute_0_6856,plain,
    product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),c),product(B,D))) )],[refute_0_6849,refute_0_6855]) ).

cnf(refute_0_6857,plain,
    product(bigC(a,b,c),D) = product(bigC(a,b,c),D),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),D))]]) ).

cnf(refute_0_6858,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),D) != product(bigC(a,b,c),D)
    | product(bigC(a,b,c),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),D),product(bigC(a,b,c),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6859,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),D),product(bigC(a,b,c),D)) )],[refute_0_6857,refute_0_6858]) ).

cnf(refute_0_6860,plain,
    product(bigC(a,b,c),D) = product(c,D),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_6859]) ).

cnf(refute_0_6861,plain,
    product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),B),product(bigC(a,b,c),D)))]]) ).

cnf(refute_0_6862,plain,
    ( product(bigC(a,b,c),D) != product(c,D)
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),B),product(bigC(a,b,c),D))
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),B),product(bigC(a,b,c),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_6863,plain,
    ( product(bigC(a,b,c),D) != product(c,D)
    | product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),B),product(bigC(a,b,c),D))) )],[refute_0_6861,refute_0_6862]) ).

cnf(refute_0_6864,plain,
    product(product(product(a,b),B),product(bigC(a,b,c),D)) = product(product(product(a,b),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),D),product(c,D)) )],[refute_0_6860,refute_0_6863]) ).

cnf(refute_0_6865,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(a,b,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( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(product(a,b),B),product(c,D)))]]) ).

cnf(refute_0_6866,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,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(a,b,c),D)),product(product(product(a,b),B),product(c,D))) )],[refute_0_6864,refute_0_6865]) ).

cnf(refute_0_6867,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(a,b,c),D)),product(product(c,product(c,b)),product(B,D))) )],[refute_0_6856,refute_0_6866]) ).

cnf(refute_0_6868,plain,
    product(product(product(a,b),X_66),product(c,b)) = product(product(c,product(c,b)),product(X_66,b)),
    inference(subst,[],[refute_0_6867:[bind(B,$fot(X_66)),bind(D,$fot(b))]]) ).

cnf(refute_0_6869,plain,
    ( product(product(a,b),product(X_66,product(b,c))) != product(product(product(a,b),X_66),product(c,b))
    | product(product(product(a,b),X_66),product(c,b)) != product(product(c,product(c,b)),product(X_66,b))
    | product(product(a,b),product(X_66,product(b,c))) = product(product(c,product(c,b)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),product(X_66,product(b,c))),product(product(c,product(c,b)),product(X_66,b))) ),[0],$fot(product(product(product(a,b),X_66),product(c,b)))]]) ).

cnf(refute_0_6870,plain,
    ( product(product(a,b),product(X_66,product(b,c))) != product(product(product(a,b),X_66),product(c,b))
    | product(product(a,b),product(X_66,product(b,c))) = product(product(c,product(c,b)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_66),product(c,b)),product(product(c,product(c,b)),product(X_66,b))) )],[refute_0_6868,refute_0_6869]) ).

cnf(refute_0_6871,plain,
    product(product(a,b),product(X_66,product(b,c))) = product(product(c,product(c,b)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,c))),product(product(product(a,b),X_66),product(c,b))) )],[refute_0_6618,refute_0_6870]) ).

cnf(refute_0_6872,plain,
    ( product(product(a,b),product(X_66,product(b,c))) != product(product(c,product(c,b)),product(X_66,b))
    | product(product(c,product(c,b)),product(X_66,b)) = product(product(a,b),product(X_66,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,b),product(X_66,product(b,c))))),bind(Y,$fot(product(product(c,product(c,b)),product(X_66,b))))]]) ).

cnf(refute_0_6873,plain,
    product(product(c,product(c,b)),product(X_66,b)) = product(product(a,b),product(X_66,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_66,product(b,c))),product(product(c,product(c,b)),product(X_66,b))) )],[refute_0_6871,refute_0_6872]) ).

cnf(refute_0_6874,plain,
    product(product(c,product(c,b)),product(bigC(a,a,c),b)) = product(product(a,b),product(bigC(a,a,c),product(b,c))),
    inference(subst,[],[refute_0_6873:[bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_6875,plain,
    ( product(product(a,b),product(bigC(a,a,c),product(b,c))) != product(product(a,b),bigC(a,b,product(a,b)))
    | product(product(c,product(c,b)),product(bigC(a,a,c),b)) != product(product(a,b),product(bigC(a,a,c),product(b,c)))
    | product(product(c,product(c,b)),product(bigC(a,a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(bigC(a,a,c),b)))),bind(Y,$fot(product(product(a,b),product(bigC(a,a,c),product(b,c))))),bind(Z,$fot(product(product(a,b),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_6876,plain,
    ( product(product(a,b),product(bigC(a,a,c),product(b,c))) != product(product(a,b),bigC(a,b,product(a,b)))
    | product(product(c,product(c,b)),product(bigC(a,a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(a,a,c),b)),product(product(a,b),product(bigC(a,a,c),product(b,c)))) )],[refute_0_6874,refute_0_6875]) ).

cnf(refute_0_6877,plain,
    product(product(c,product(c,b)),product(bigC(a,a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(a,a,c),product(b,c))),product(product(a,b),bigC(a,b,product(a,b)))) )],[refute_0_6603,refute_0_6876]) ).

cnf(refute_0_6878,plain,
    ( bigC(c,product(a,b),product(product(a,c),b)) != product(product(c,product(c,b)),product(bigC(a,a,c),b))
    | product(product(c,product(c,b)),product(bigC(a,a,c),b)) != product(product(a,b),bigC(a,b,product(a,b)))
    | bigC(c,product(a,b),product(product(a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,b),product(product(a,c),b)),product(product(a,b),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(c,product(c,b)),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_6879,plain,
    ( bigC(c,product(a,b),product(product(a,c),b)) != product(product(c,product(c,b)),product(bigC(a,a,c),b))
    | bigC(c,product(a,b),product(product(a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(a,a,c),b)),product(product(a,b),bigC(a,b,product(a,b)))) )],[refute_0_6877,refute_0_6878]) ).

cnf(refute_0_6880,plain,
    bigC(c,product(a,b),product(product(a,c),b)) = product(product(a,b),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(product(a,c),b)),product(product(c,product(c,b)),product(bigC(a,a,c),b))) )],[refute_0_6436,refute_0_6879]) ).

cnf(refute_0_6881,plain,
    ( bigC(c,product(a,b),product(product(a,c),b)) != product(product(a,b),bigC(a,b,product(a,b)))
    | bigC(c,product(product(a,c),b),product(a,b)) != bigC(c,product(a,b),product(product(a,c),b))
    | bigC(c,product(product(a,c),b),product(a,b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(a,c),b),product(a,b)),bigC(c,product(a,b),product(product(a,c),b))) ),[1],$fot(product(product(a,b),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_6882,plain,
    ( bigC(c,product(product(a,c),b),product(a,b)) != bigC(c,product(a,b),product(product(a,c),b))
    | bigC(c,product(product(a,c),b),product(a,b)) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(product(a,c),b)),product(product(a,b),bigC(a,b,product(a,b)))) )],[refute_0_6880,refute_0_6881]) ).

cnf(refute_0_6883,plain,
    bigC(c,product(product(a,c),b),product(a,b)) = product(product(a,b),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),b),product(a,b)),bigC(c,product(a,b),product(product(a,c),b))) )],[refute_0_6383,refute_0_6882]) ).

cnf(refute_0_6884,plain,
    bigC(c,product(product(a,c),b),C) = product(product(c,product(product(a,c),b)),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_6885,plain,
    ( bigC(c,product(product(a,c),b),C) != product(product(c,product(product(a,c),b)),product(C,c))
    | product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | bigC(c,product(product(a,c),b),C) = product(product(a,product(b,product(b,c))),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(a,c),b),C),product(product(c,product(product(a,c),b)),product(C,c))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_6886,plain,
    ( bigC(c,product(product(a,c),b),C) != product(product(c,product(product(a,c),b)),product(C,c))
    | bigC(c,product(product(a,c),b),C) = product(product(a,product(b,product(b,c))),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_4831,refute_0_6885]) ).

cnf(refute_0_6887,plain,
    bigC(c,product(product(a,c),b),C) = product(product(a,product(b,product(b,c))),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),b),C),product(product(c,product(product(a,c),b)),product(C,c))) )],[refute_0_6884,refute_0_6886]) ).

cnf(refute_0_6888,plain,
    product(product(a,product(b,product(b,c))),product(X_25,c)) = product(product(product(a,product(b,product(b,c))),X_25),product(product(a,product(b,product(b,c))),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,product(b,product(b,c))))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_6889,plain,
    bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(product(c,product(c,b)),product(c,product(c,product(c,b)))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(c,product(c,b)))),bind(X_19,$fot(c))]]) ).

cnf(refute_0_6890,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,product(c,b)),product(c,product(c,product(c,b))))
    | product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(product(c,product(c,b)),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(product(c,product(c,b)),product(c,product(c,product(c,b))))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_6891,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,product(c,b)),product(c,product(c,product(c,b))))
    | bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(product(c,product(c,b)),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_6890]) ).

cnf(refute_0_6892,plain,
    bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(product(c,product(c,b)),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(product(c,product(c,b)),product(c,product(c,product(c,b))))) )],[refute_0_6889,refute_0_6891]) ).

cnf(refute_0_6893,plain,
    product(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(c,bigC(b,b,c)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(c,bigC(b,b,c)))),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_6894,plain,
    ( product(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(c,bigC(b,b,c))
    | quotient(product(c,bigC(b,b,c)),bigC(c,b,c)) != product(c,product(c,b))
    | product(product(c,product(c,b)),bigC(c,b,c)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6895,plain,
    ( product(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),bigC(c,b,c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),product(c,product(c,b))) )],[refute_0_1252,refute_0_6894]) ).

cnf(refute_0_6896,plain,
    product(product(c,product(c,b)),bigC(c,b,c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,bigC(b,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(c,bigC(b,b,c))) )],[refute_0_6893,refute_0_6895]) ).

cnf(refute_0_6897,plain,
    product(product(c,product(c,b)),bigC(c,b,c)) = bigC(c,product(c,b),product(c,b)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(c)),bind(B,$fot(product(c,b))),bind(X_22,$fot(b))]]) ).

cnf(refute_0_6898,plain,
    ( product(product(c,product(c,b)),bigC(c,b,c)) != bigC(c,product(c,b),product(c,b))
    | product(product(c,product(c,b)),bigC(c,b,c)) != product(c,bigC(b,b,c))
    | bigC(c,product(c,b),product(c,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,c)),product(c,bigC(b,b,c))) ),[0],$fot(bigC(c,product(c,b),product(c,b)))]]) ).

cnf(refute_0_6899,plain,
    ( product(product(c,product(c,b)),bigC(c,b,c)) != product(c,bigC(b,b,c))
    | bigC(c,product(c,b),product(c,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,c)),bigC(c,product(c,b),product(c,b))) )],[refute_0_6897,refute_0_6898]) ).

cnf(refute_0_6900,plain,
    bigC(c,product(c,b),product(c,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,c)),product(c,bigC(b,b,c))) )],[refute_0_6896,refute_0_6899]) ).

cnf(refute_0_6901,plain,
    bigC(product(c,b),product(c,b),c) = bigC(c,product(c,b),product(c,b)),
    inference(subst,[],[refute_0_1473:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_6902,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(c,bigC(b,b,c))
    | bigC(product(c,b),product(c,b),c) != bigC(c,product(c,b),product(c,b))
    | bigC(product(c,b),product(c,b),c) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),c))),bind(Y,$fot(bigC(c,product(c,b),product(c,b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_6903,plain,
    ( bigC(c,product(c,b),product(c,b)) != 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),bigC(c,product(c,b),product(c,b))) )],[refute_0_6901,refute_0_6902]) ).

cnf(refute_0_6904,plain,
    bigC(product(c,b),product(c,b),c) = 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_6900,refute_0_6903]) ).

cnf(refute_0_6905,plain,
    product(c,bigC(product(c,b),product(c,b),c)) = product(c,bigC(product(c,b),product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(product(c,b),product(c,b),c)))]]) ).

cnf(refute_0_6906,plain,
    ( bigC(product(c,b),product(c,b),c) != product(c,bigC(b,b,c))
    | product(c,bigC(product(c,b),product(c,b),c)) != product(c,bigC(product(c,b),product(c,b),c))
    | product(c,bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(product(c,b),product(c,b),c)),product(c,bigC(product(c,b),product(c,b),c))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_6907,plain,
    ( bigC(product(c,b),product(c,b),c) != product(c,bigC(b,b,c))
    | product(c,bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(c,b),product(c,b),c)),product(c,bigC(product(c,b),product(c,b),c))) )],[refute_0_6905,refute_0_6906]) ).

cnf(refute_0_6908,plain,
    product(c,bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),c),product(c,bigC(b,b,c))) )],[refute_0_6904,refute_0_6907]) ).

cnf(refute_0_6909,plain,
    product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(product(c,c),bigC(product(c,b),product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(product(c,c),bigC(product(c,b),product(c,b),c)))]]) ).

cnf(refute_0_6910,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) != product(product(c,c),bigC(product(c,b),product(c,b),c))
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,bigC(product(c,b),product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),bigC(product(c,b),product(c,b),c)),product(product(c,c),bigC(product(c,b),product(c,b),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6911,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,bigC(product(c,b),product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(c,b),product(c,b),c)),product(product(c,c),bigC(product(c,b),product(c,b),c))) )],[refute_0_6909,refute_0_6910]) ).

cnf(refute_0_6912,plain,
    product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,bigC(product(c,b),product(c,b),c)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_6911]) ).

cnf(refute_0_6913,plain,
    ( product(c,bigC(product(c,b),product(c,b),c)) != product(c,product(c,bigC(b,b,c)))
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) != product(c,bigC(product(c,b),product(c,b),c))
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),bigC(product(c,b),product(c,b),c)))),bind(Y,$fot(product(c,bigC(product(c,b),product(c,b),c)))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_6914,plain,
    ( product(c,bigC(product(c,b),product(c,b),c)) != product(c,product(c,bigC(b,b,c)))
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(c,b),product(c,b),c)),product(c,bigC(product(c,b),product(c,b),c))) )],[refute_0_6912,refute_0_6913]) ).

cnf(refute_0_6915,plain,
    product(product(c,c),bigC(product(c,b),product(c,b),c)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(c,b),product(c,b),c)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_6908,refute_0_6914]) ).

cnf(refute_0_6916,plain,
    bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(product(c,c),bigC(product(c,b),product(c,b),c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b))),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_6917,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,c),bigC(product(c,b),product(c,b),c))
    | product(product(c,c),bigC(product(c,b),product(c,b),c)) != product(c,product(c,bigC(b,b,c)))
    | bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,b)),product(c,product(c,b)),c))),bind(Y,$fot(product(product(c,c),bigC(product(c,b),product(c,b),c)))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_6918,plain,
    ( product(product(c,c),bigC(product(c,b),product(c,b),c)) != product(c,product(c,bigC(b,b,c)))
    | bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(product(c,c),bigC(product(c,b),product(c,b),c))) )],[refute_0_6916,refute_0_6917]) ).

cnf(refute_0_6919,plain,
    bigC(product(c,product(c,b)),product(c,product(c,b)),c) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(c,b),product(c,b),c)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_6915,refute_0_6918]) ).

cnf(refute_0_6920,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(c,product(c,bigC(b,b,c)))
    | bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,product(c,b)),bigC(b,a,product(a,b)))
    | product(c,product(c,bigC(b,b,c))) = product(product(c,product(c,b)),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(product(c,product(c,b)),bigC(b,a,product(a,b)))) ),[0],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_6921,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,product(c,b)),bigC(b,a,product(a,b)))
    | product(c,product(c,bigC(b,b,c))) = product(product(c,product(c,b)),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_6919,refute_0_6920]) ).

cnf(refute_0_6922,plain,
    bigC(c,product(c,b),product(c,product(a,b))) = bigC(c,product(c,b),product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,b),product(c,product(a,b))))]]) ).

cnf(refute_0_6923,plain,
    ( bigC(c,product(c,b),product(c,product(a,b))) != bigC(c,product(c,b),product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(c,b),product(c,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,b),product(c,product(a,b))),bigC(c,product(c,b),product(c,product(a,b)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6924,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(c,b),product(c,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,product(a,b))),bigC(c,product(c,b),product(c,product(a,b)))) )],[refute_0_6922,refute_0_6923]) ).

cnf(refute_0_6925,plain,
    bigC(c,product(c,b),product(c,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_6924]) ).

cnf(refute_0_6926,plain,
    product(product(c,product(c,b)),bigC(b,a,product(a,b))) = bigC(c,product(c,b),product(c,product(a,b))),
    inference(subst,[],[refute_0_1532:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_6927,plain,
    ( bigC(c,product(c,b),product(c,product(a,b))) != bigC(c,product(c,b),product(a,product(b,c)))
    | product(product(c,product(c,b)),bigC(b,a,product(a,b))) != bigC(c,product(c,b),product(c,product(a,b)))
    | product(product(c,product(c,b)),bigC(b,a,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),bigC(b,a,product(a,b))))),bind(Y,$fot(bigC(c,product(c,b),product(c,product(a,b))))),bind(Z,$fot(bigC(c,product(c,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_6928,plain,
    ( bigC(c,product(c,b),product(c,product(a,b))) != bigC(c,product(c,b),product(a,product(b,c)))
    | product(product(c,product(c,b)),bigC(b,a,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,product(a,b))),bigC(c,product(c,b),product(c,product(a,b)))) )],[refute_0_6926,refute_0_6927]) ).

cnf(refute_0_6929,plain,
    product(product(c,product(c,b)),bigC(b,a,product(a,b))) = bigC(c,product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,product(a,b))),bigC(c,product(c,b),product(a,product(b,c)))) )],[refute_0_6925,refute_0_6928]) ).

cnf(refute_0_6930,plain,
    ( product(c,product(c,bigC(b,b,c))) != product(product(c,product(c,b)),bigC(b,a,product(a,b)))
    | product(product(c,product(c,b)),bigC(b,a,product(a,b))) != bigC(c,product(c,b),product(a,product(b,c)))
    | product(c,product(c,bigC(b,b,c))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,bigC(b,b,c))),bigC(c,product(c,b),product(a,product(b,c)))) ),[0],$fot(product(product(c,product(c,b)),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_6931,plain,
    ( product(c,product(c,bigC(b,b,c))) != product(product(c,product(c,b)),bigC(b,a,product(a,b)))
    | product(c,product(c,bigC(b,b,c))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,product(a,b))),bigC(c,product(c,b),product(a,product(b,c)))) )],[refute_0_6929,refute_0_6930]) ).

cnf(refute_0_6932,plain,
    ( bigC(product(c,product(c,b)),product(c,product(c,b)),c) != product(product(c,product(c,b)),bigC(b,a,product(a,b)))
    | product(c,product(c,bigC(b,b,c))) = bigC(c,product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,b,c))),product(product(c,product(c,b)),bigC(b,a,product(a,b)))) )],[refute_0_6921,refute_0_6931]) ).

cnf(refute_0_6933,plain,
    product(c,product(c,bigC(b,b,c))) = bigC(c,product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),product(c,product(c,b)),c),product(product(c,product(c,b)),bigC(b,a,product(a,b)))) )],[refute_0_6892,refute_0_6932]) ).

cnf(refute_0_6934,plain,
    bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(a,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,b))),bind(X_18,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6935,plain,
    ( bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(a,b))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) != difference(product(a,product(c,b)),product(a,b))
    | bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)),product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(a,b))) ),[1,0],$fot(difference(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_6936,plain,
    ( bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(a,b))
    | bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),difference(product(a,product(c,b)),product(a,b))) )],[refute_0_6458,refute_0_6935]) ).

cnf(refute_0_6937,plain,
    bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)),product(product(product(a,b),bigC(a,b,bigC(c,a,b))),product(a,b))) )],[refute_0_6934,refute_0_6936]) ).

cnf(refute_0_6938,plain,
    bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) = bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6939,plain,
    ( bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) != bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b)))
    | bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) ),[0],$fot(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6940,plain,
    ( bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)),bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_6938,refute_0_6939]) ).

cnf(refute_0_6941,plain,
    bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,bigC(c,a,b)),product(a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6937,refute_0_6940]) ).

cnf(refute_0_6942,plain,
    product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)))]]) ).

cnf(refute_0_6943,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_6944,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_6942,refute_0_6943]) ).

cnf(refute_0_6945,plain,
    product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_6944]) ).

cnf(refute_0_6946,plain,
    bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(bigC(a,b,bigC(c,a,b)))),bind(C,$fot(b))]]) ).

cnf(refute_0_6947,plain,
    ( bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))))]]) ).

cnf(refute_0_6948,plain,
    ( product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_6946,refute_0_6947]) ).

cnf(refute_0_6949,plain,
    bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_6945,refute_0_6948]) ).

cnf(refute_0_6950,plain,
    ( bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) ),[0],$fot(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_6951,plain,
    ( bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_6949,refute_0_6950]) ).

cnf(refute_0_6952,plain,
    product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,b,bigC(c,a,b))),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6941,refute_0_6951]) ).

cnf(refute_0_6953,plain,
    product(a,bigC(a,b,bigC(c,a,b))) = product(a,bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(a,bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6954,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,bigC(c,a,b)))
    | product(a,bigC(a,b,bigC(c,a,b))) = product(a,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(a,b,bigC(c,a,b))),product(a,bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_6955,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(a,bigC(a,b,bigC(c,a,b))) = product(a,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,bigC(c,a,b))),product(a,bigC(a,b,bigC(c,a,b)))) )],[refute_0_6953,refute_0_6954]) ).

cnf(refute_0_6956,plain,
    product(a,bigC(a,b,bigC(c,a,b))) = product(a,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_6955]) ).

cnf(refute_0_6957,plain,
    product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_6958,plain,
    ( product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,c))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,bigC(a,b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))) ),[1,0],$fot(product(a,bigC(a,b,c)))]]) ).

cnf(refute_0_6959,plain,
    ( product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,c))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,bigC(a,b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_6957,refute_0_6958]) ).

cnf(refute_0_6960,plain,
    product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,bigC(a,b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,bigC(c,a,b))),product(a,bigC(a,b,c))) )],[refute_0_6956,refute_0_6959]) ).

cnf(refute_0_6961,plain,
    ( product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,bigC(a,b,c)),bigC(b,a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) ),[0],$fot(product(product(a,bigC(a,b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_6962,plain,
    ( product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,bigC(a,b,c)),bigC(b,a,b))) )],[refute_0_6960,refute_0_6961]) ).

cnf(refute_0_6963,plain,
    product(product(a,b),a) = bigC(a,b,a),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(a)),bind(X_18,$fot(b))]]) ).

cnf(refute_0_6964,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_32:[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_6965,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_6963,refute_0_6964]) ).

cnf(refute_0_6966,plain,
    product(product(a,b),a) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_1877,refute_0_6965]) ).

cnf(refute_0_6967,plain,
    product(product(product(a,b),a),product(bigC(a,b,c),b)) = product(product(product(a,b),a),product(bigC(a,b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(bigC(a,b,c),b)))]]) ).

cnf(refute_0_6968,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(a,b,c),b)) != product(product(product(a,b),a),product(bigC(a,b,c),b))
    | product(product(product(a,b),a),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),b)),product(product(product(a,b),a),product(bigC(a,b,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6969,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),b)),product(product(product(a,b),a),product(bigC(a,b,c),b))) )],[refute_0_6967,refute_0_6968]) ).

cnf(refute_0_6970,plain,
    product(product(product(a,b),a),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_6966,refute_0_6969]) ).

cnf(refute_0_6971,plain,
    ( product(product(product(a,b),B),product(bigC(a,b,c),D)) != product(product(product(a,b),bigC(a,b,c)),product(B,D))
    | product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(a,b),B),product(bigC(a,b,c),D)))),bind(Y,$fot(product(product(product(a,b),bigC(a,b,c)),product(B,D))))]]) ).

cnf(refute_0_6972,plain,
    product(product(product(a,b),bigC(a,b,c)),product(B,D)) = product(product(product(a,b),B),product(bigC(a,b,c),D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(a,b,c),D)),product(product(product(a,b),bigC(a,b,c)),product(B,D))) )],[refute_0_6640,refute_0_6971]) ).

cnf(refute_0_6973,plain,
    product(product(product(a,b),bigC(a,b,c)),product(a,b)) = product(product(product(a,b),a),product(bigC(a,b,c),b)),
    inference(subst,[],[refute_0_6972:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_6974,plain,
    ( product(product(product(a,b),a),product(bigC(a,b,c),b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(product(product(a,b),bigC(a,b,c)),product(a,b)) != product(product(product(a,b),a),product(bigC(a,b,c),b))
    | product(product(product(a,b),bigC(a,b,c)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),bigC(a,b,c)),product(a,b)))),bind(Y,$fot(product(product(product(a,b),a),product(bigC(a,b,c),b)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,b,c),b))))]]) ).

cnf(refute_0_6975,plain,
    ( product(product(product(a,b),a),product(bigC(a,b,c),b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(product(product(a,b),bigC(a,b,c)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(a,b)),product(product(product(a,b),a),product(bigC(a,b,c),b))) )],[refute_0_6973,refute_0_6974]) ).

cnf(refute_0_6976,plain,
    product(product(product(a,b),bigC(a,b,c)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_6970,refute_0_6975]) ).

cnf(refute_0_6977,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_6978,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(product(product(a,b),bigC(a,b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) ),[1,0],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_6979,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(product(product(a,b),bigC(a,b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6977,refute_0_6978]) ).

cnf(refute_0_6980,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(product(product(a,b),bigC(a,b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_6979]) ).

cnf(refute_0_6981,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) != product(product(product(a,b),bigC(a,b,c)),product(a,b))
    | product(product(product(a,b),bigC(a,b,c)),product(a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)))),bind(Y,$fot(product(product(product(a,b),bigC(a,b,c)),product(a,b)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,b,c),b))))]]) ).

cnf(refute_0_6982,plain,
    ( product(product(product(a,b),bigC(a,b,c)),product(a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(product(product(a,b),bigC(a,b,c)),product(a,b))) )],[refute_0_6980,refute_0_6981]) ).

cnf(refute_0_6983,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(a,b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_6976,refute_0_6982]) ).

cnf(refute_0_6984,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) ),[1],$fot(product(bigC(a,a,b),product(bigC(a,b,c),b)))]]) ).

cnf(refute_0_6985,plain,
    ( product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_6983,refute_0_6984]) ).

cnf(refute_0_6986,plain,
    ( product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6962,refute_0_6985]) ).

cnf(refute_0_6987,plain,
    product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6952,refute_0_6986]) ).

cnf(refute_0_6988,plain,
    product(a,bigC(a,b,c)) = product(a,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(a,bigC(a,b,c)))]]) ).

cnf(refute_0_6989,plain,
    ( bigC(a,b,c) != c
    | product(a,bigC(a,b,c)) != product(a,bigC(a,b,c))
    | product(a,bigC(a,b,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(a,b,c)),product(a,bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6990,plain,
    ( bigC(a,b,c) != c
    | product(a,bigC(a,b,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,c)),product(a,bigC(a,b,c))) )],[refute_0_6988,refute_0_6989]) ).

cnf(refute_0_6991,plain,
    product(a,bigC(a,b,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_6990]) ).

cnf(refute_0_6992,plain,
    product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(product(a,bigC(a,b,c)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_6993,plain,
    ( product(a,bigC(a,b,c)) != product(a,c)
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(product(a,bigC(a,b,c)),bigC(b,a,b))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(product(a,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(product(a,bigC(a,b,c)),bigC(b,a,b))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_6994,plain,
    ( product(a,bigC(a,b,c)) != product(a,c)
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(product(a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(product(a,bigC(a,b,c)),bigC(b,a,b))) )],[refute_0_6992,refute_0_6993]) ).

cnf(refute_0_6995,plain,
    product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(product(a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,c)),product(a,c)) )],[refute_0_6991,refute_0_6994]) ).

cnf(refute_0_6996,plain,
    ( product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(product(a,c),bigC(b,a,b))
    | product(product(a,c),bigC(b,a,b)) != product(a,product(b,product(b,c)))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(a,b,c)),bigC(b,a,b)))),bind(Y,$fot(product(product(a,c),bigC(b,a,b)))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_6997,plain,
    ( product(product(a,c),bigC(b,a,b)) != product(a,product(b,product(b,c)))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(product(a,c),bigC(b,a,b))) )],[refute_0_6995,refute_0_6996]) ).

cnf(refute_0_6998,plain,
    product(product(a,bigC(a,b,c)),bigC(b,a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,a,b)),product(a,product(b,product(b,c)))) )],[refute_0_4771,refute_0_6997]) ).

cnf(refute_0_6999,plain,
    ( product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(a,product(b,product(b,c)))
    | product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) ),[0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_7000,plain,
    ( product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(bigC(a,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(a,product(b,product(b,c)))) )],[refute_0_6998,refute_0_6999]) ).

cnf(refute_0_7001,plain,
    product(bigC(a,b,c),b) = product(bigC(a,b,c),b),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),b))]]) ).

cnf(refute_0_7002,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),b) != product(bigC(a,b,c),b)
    | product(bigC(a,b,c),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),b),product(bigC(a,b,c),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7003,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),b),product(bigC(a,b,c),b)) )],[refute_0_7001,refute_0_7002]) ).

cnf(refute_0_7004,plain,
    product(bigC(a,b,c),b) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_7003]) ).

cnf(refute_0_7005,plain,
    product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(bigC(a,b,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(a,b,c),b)))]]) ).

cnf(refute_0_7006,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(bigC(a,b,c),b) != product(c,b)
    | product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7007,plain,
    ( product(bigC(a,b,c),b) != product(c,b)
    | product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_7005,refute_0_7006]) ).

cnf(refute_0_7008,plain,
    product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(bigC(a,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),b),product(c,b)) )],[refute_0_7004,refute_0_7007]) ).

cnf(refute_0_7009,plain,
    ( product(a,product(b,product(b,c))) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(bigC(a,a,b),product(bigC(a,b,c),b)) != product(bigC(a,a,b),product(c,b))
    | product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,product(b,c))),product(bigC(a,a,b),product(c,b))) ),[0],$fot(product(bigC(a,a,b),product(bigC(a,b,c),b)))]]) ).

cnf(refute_0_7010,plain,
    ( product(a,product(b,product(b,c))) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),b)),product(bigC(a,a,b),product(c,b))) )],[refute_0_7008,refute_0_7009]) ).

cnf(refute_0_7011,plain,
    ( product(product(a,bigC(a,b,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,c))),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_7000,refute_0_7010]) ).

cnf(refute_0_7012,plain,
    product(a,product(b,product(b,c))) = product(bigC(a,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,c)),bigC(b,a,b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_6987,refute_0_7011]) ).

cnf(refute_0_7013,plain,
    ( product(a,product(b,product(b,c))) != product(bigC(a,a,b),product(c,b))
    | product(bigC(a,a,b),product(c,b)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,product(b,c))))),bind(Y,$fot(product(bigC(a,a,b),product(c,b))))]]) ).

cnf(refute_0_7014,plain,
    product(bigC(a,a,b),product(c,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,c))),product(bigC(a,a,b),product(c,b))) )],[refute_0_7012,refute_0_7013]) ).

cnf(refute_0_7015,plain,
    product(product(bigC(a,a,b),product(c,b)),c) = product(product(bigC(a,a,b),product(c,b)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(c,b)),c))]]) ).

cnf(refute_0_7016,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | product(product(bigC(a,a,b),product(c,b)),c) != product(product(bigC(a,a,b),product(c,b)),c)
    | product(product(bigC(a,a,b),product(c,b)),c) = product(product(a,product(b,product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(product(bigC(a,a,b),product(c,b)),c)) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_7017,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | product(product(bigC(a,a,b),product(c,b)),c) = product(product(a,product(b,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(product(bigC(a,a,b),product(c,b)),c)) )],[refute_0_7015,refute_0_7016]) ).

cnf(refute_0_7018,plain,
    product(product(bigC(a,a,b),product(c,b)),c) = product(product(a,product(b,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(a,product(b,product(b,c)))) )],[refute_0_7014,refute_0_7017]) ).

cnf(refute_0_7019,plain,
    bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(bigC(a,b,product(a,b)))),bind(X_19,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_7020,plain,
    difference(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = bigC(a,b,c),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(a,b,c))),bind(X_11,$fot(product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_7021,plain,
    quotient(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(a,b,c)) = product(bigC(a,b,c),product(a,b)),
    inference(subst,[],[refute_0_246:[bind(B,$fot(bigC(a,b,c))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_7022,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | quotient(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(a,b,c)) != product(bigC(a,b,c),product(a,b))
    | quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)) = product(bigC(a,b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(a,b,c)),product(bigC(a,b,c),product(a,b))) ),[0,0],$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_7023,plain,
    ( quotient(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(a,b,c)) != product(bigC(a,b,c),product(a,b))
    | quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)) = product(bigC(a,b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6504,refute_0_7022]) ).

cnf(refute_0_7024,plain,
    quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)) = product(bigC(a,b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),bigC(a,b,c)),product(bigC(a,b,c),product(a,b))) )],[refute_0_7021,refute_0_7023]) ).

cnf(refute_0_7025,plain,
    ( difference(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != bigC(a,b,c)
    | quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)) != product(bigC(a,b,c),product(a,b))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),bigC(a,b,c)) ),[0,0],$fot(product(bigC(a,b,c),product(a,b)))]]) ).

cnf(refute_0_7026,plain,
    ( difference(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != bigC(a,b,c)
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,b,c),product(a,b))) )],[refute_0_7024,refute_0_7025]) ).

cnf(refute_0_7027,plain,
    difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(difference(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),bigC(a,b,c)) )],[refute_0_7020,refute_0_7026]) ).

cnf(refute_0_7028,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))),bind(Y,$fot(product(bigC(a,a,c),product(b,c)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7029,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(bigC(a,a,c),product(b,c))) )],[refute_0_6528,refute_0_7028]) ).

cnf(refute_0_7030,plain,
    product(bigC(a,a,c),product(b,bigC(a,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_6599,refute_0_7029]) ).

cnf(refute_0_7031,plain,
    difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_7032,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_7033,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_7031,refute_0_7032]) ).

cnf(refute_0_7034,plain,
    difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,product(a,b))) )],[refute_0_7030,refute_0_7033]) ).

cnf(refute_0_7035,plain,
    product(bigC(a,b,c),product(a,b)) = product(bigC(a,b,c),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),product(a,b)))]]) ).

cnf(refute_0_7036,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(a,b)) != product(bigC(a,b,c),product(a,b))
    | product(bigC(a,b,c),product(a,b)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),product(a,b)),product(bigC(a,b,c),product(a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7037,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(a,b)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(a,b)),product(bigC(a,b,c),product(a,b))) )],[refute_0_7035,refute_0_7036]) ).

cnf(refute_0_7038,plain,
    product(bigC(a,b,c),product(a,b)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_7037]) ).

cnf(refute_0_7039,plain,
    ( product(bigC(a,b,c),product(a,b)) != product(c,product(a,b))
    | product(c,product(a,b)) != product(a,product(b,c))
    | product(bigC(a,b,c),product(a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,c),product(a,b)))),bind(Y,$fot(product(c,product(a,b)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_7040,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(bigC(a,b,c),product(a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(a,b)),product(c,product(a,b))) )],[refute_0_7038,refute_0_7039]) ).

cnf(refute_0_7041,plain,
    product(bigC(a,b,c),product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_7040]) ).

cnf(refute_0_7042,plain,
    difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_7043,plain,
    ( difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(bigC(a,b,c),product(a,b)) != product(a,product(b,c))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7044,plain,
    ( product(bigC(a,b,c),product(a,b)) != product(a,product(b,c))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_7042,refute_0_7043]) ).

cnf(refute_0_7045,plain,
    difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(a,b)),product(a,product(b,c))) )],[refute_0_7041,refute_0_7044]) ).

cnf(refute_0_7046,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))))),bind(Y,$fot(difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))))),bind(Z,$fot(difference(product(a,product(b,c)),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_7047,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_7045,refute_0_7046]) ).

cnf(refute_0_7048,plain,
    difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = difference(product(a,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(a,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_7034,refute_0_7047]) ).

cnf(refute_0_7049,plain,
    ( difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != bigC(a,b,c)
    | difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != difference(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),bigC(a,b,c)) ),[0],$fot(difference(product(a,product(b,c)),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7050,plain,
    ( difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != bigC(a,b,c)
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),difference(product(a,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_7048,refute_0_7049]) ).

cnf(refute_0_7051,plain,
    ( bigC(a,b,c) != c
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) != bigC(a,b,c)
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),bigC(a,b,c)) ),[1],$fot(c)]]) ).

cnf(refute_0_7052,plain,
    ( difference(product(a,product(b,c)),bigC(a,b,product(a,b))) != bigC(a,b,c)
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = c ),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_7051]) ).

cnf(refute_0_7053,plain,
    ( difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != bigC(a,b,c)
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = c ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),bigC(a,b,c)) )],[refute_0_7050,refute_0_7052]) ).

cnf(refute_0_7054,plain,
    difference(product(a,product(b,c)),bigC(a,b,product(a,b))) = c,
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,c),product(a,b)),product(bigC(a,a,c),product(b,bigC(a,b,c)))),bigC(a,b,c)) )],[refute_0_7027,refute_0_7053]) ).

cnf(refute_0_7055,plain,
    ( bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) != c
    | bigC(c,X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_7056,plain,
    ( bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),c) )],[refute_0_7054,refute_0_7055]) ).

cnf(refute_0_7057,plain,
    bigC(c,X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))) )],[refute_0_7019,refute_0_7056]) ).

cnf(refute_0_7058,plain,
    bigC(c,product(c,product(a,b)),C) = product(product(c,product(c,product(a,b))),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_7059,plain,
    ( bigC(c,product(c,product(a,b)),C) != product(product(c,product(c,product(a,b))),product(C,c))
    | product(c,product(c,product(a,b))) != product(bigC(c,a,c),c)
    | bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),product(product(c,product(c,product(a,b))),product(C,c))) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_7060,plain,
    ( bigC(c,product(c,product(a,b)),C) != product(product(c,product(c,product(a,b))),product(C,c))
    | bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,b))),product(bigC(c,a,c),c)) )],[refute_0_3132,refute_0_7059]) ).

cnf(refute_0_7061,plain,
    bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),product(product(c,product(c,product(a,b))),product(C,c))) )],[refute_0_7058,refute_0_7060]) ).

cnf(refute_0_7062,plain,
    product(product(bigC(c,a,c),c),product(C,c)) = product(product(bigC(c,a,c),C),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(bigC(c,a,c))),bind(X_24,$fot(C)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_7063,plain,
    ( bigC(c,product(c,product(a,b)),C) != product(product(bigC(c,a,c),c),product(C,c))
    | product(product(bigC(c,a,c),c),product(C,c)) != product(product(bigC(c,a,c),C),c)
    | bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),C),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,product(a,b)),C),product(product(bigC(c,a,c),C),c)) ),[0],$fot(product(product(bigC(c,a,c),c),product(C,c)))]]) ).

cnf(refute_0_7064,plain,
    ( bigC(c,product(c,product(a,b)),C) != product(product(bigC(c,a,c),c),product(C,c))
    | bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),C),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(C,c)),product(product(bigC(c,a,c),C),c)) )],[refute_0_7062,refute_0_7063]) ).

cnf(refute_0_7065,plain,
    bigC(c,product(c,product(a,b)),C) = product(product(bigC(c,a,c),C),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),product(product(bigC(c,a,c),c),product(C,c))) )],[refute_0_7061,refute_0_7064]) ).

cnf(refute_0_7066,plain,
    bigC(c,product(c,product(a,b)),C) = bigC(c,product(c,product(a,b)),C),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,product(a,b)),C))]]) ).

cnf(refute_0_7067,plain,
    ( bigC(c,product(c,product(a,b)),C) != bigC(c,product(c,product(a,b)),C)
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(c,product(a,b)),C) = bigC(c,product(a,product(b,c)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),bigC(c,product(c,product(a,b)),C)) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7068,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(c,product(a,b)),C) = bigC(c,product(a,product(b,c)),C) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),bigC(c,product(c,product(a,b)),C)) )],[refute_0_7066,refute_0_7067]) ).

cnf(refute_0_7069,plain,
    bigC(c,product(c,product(a,b)),C) = bigC(c,product(a,product(b,c)),C),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_7068]) ).

cnf(refute_0_7070,plain,
    ( bigC(c,product(c,product(a,b)),C) != bigC(c,product(a,product(b,c)),C)
    | bigC(c,product(c,product(a,b)),C) != product(product(bigC(c,a,c),C),c)
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(c,a,c),C),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),product(product(bigC(c,a,c),C),c)) ),[0],$fot(bigC(c,product(a,product(b,c)),C))]]) ).

cnf(refute_0_7071,plain,
    ( bigC(c,product(c,product(a,b)),C) != product(product(bigC(c,a,c),C),c)
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(c,a,c),C),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),bigC(c,product(a,product(b,c)),C)) )],[refute_0_7069,refute_0_7070]) ).

cnf(refute_0_7072,plain,
    bigC(c,product(a,product(b,c)),C) = product(product(bigC(c,a,c),C),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),C),product(product(bigC(c,a,c),C),c)) )],[refute_0_7065,refute_0_7071]) ).

cnf(refute_0_7073,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_7074,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_7075,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_7073,refute_0_7074]) ).

cnf(refute_0_7076,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_1946,refute_0_7075]) ).

cnf(refute_0_7077,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_7078,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_7079,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_7077,refute_0_7078]) ).

cnf(refute_0_7080,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_7076,refute_0_7079]) ).

cnf(refute_0_7081,plain,
    ( bigC(c,product(a,product(b,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)
    | 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(c,a,c),C),c))]]) ).

cnf(refute_0_7082,plain,
    ( bigC(c,product(a,product(b,c)),C) != product(product(bigC(c,a,c),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(c,a,c),C),c),product(product(bigC(a,a,b),C),c)) )],[refute_0_7080,refute_0_7081]) ).

cnf(refute_0_7083,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(c,a,c),C),c)) )],[refute_0_7072,refute_0_7082]) ).

cnf(refute_0_7084,plain,
    bigC(c,product(a,product(b,c)),X_18) = product(product(bigC(a,a,b),X_18),c),
    inference(subst,[],[refute_0_7083:[bind(C,$fot(X_18))]]) ).

cnf(refute_0_7085,plain,
    bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18))]]) ).

cnf(refute_0_7086,plain,
    ( bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) != bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18)
    | difference(product(a,product(b,c)),bigC(a,b,product(a,b))) != c
    | bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = bigC(c,product(a,product(b,c)),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7087,plain,
    ( difference(product(a,product(b,c)),bigC(a,b,product(a,b))) != c
    | bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = bigC(c,product(a,product(b,c)),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18)) )],[refute_0_7085,refute_0_7086]) ).

cnf(refute_0_7088,plain,
    bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = bigC(c,product(a,product(b,c)),X_18),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),c) )],[refute_0_7054,refute_0_7087]) ).

cnf(refute_0_7089,plain,
    ( bigC(c,product(a,product(b,c)),X_18) != product(product(bigC(a,a,b),X_18),c)
    | bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) != bigC(c,product(a,product(b,c)),X_18)
    | bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = product(product(bigC(a,a,b),X_18),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18))),bind(Y,$fot(bigC(c,product(a,product(b,c)),X_18))),bind(Z,$fot(product(product(bigC(a,a,b),X_18),c)))]]) ).

cnf(refute_0_7090,plain,
    ( bigC(c,product(a,product(b,c)),X_18) != product(product(bigC(a,a,b),X_18),c)
    | bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = product(product(bigC(a,a,b),X_18),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),bigC(c,product(a,product(b,c)),X_18)) )],[refute_0_7088,refute_0_7089]) ).

cnf(refute_0_7091,plain,
    bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) = product(product(bigC(a,a,b),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(b,c)),X_18),product(product(bigC(a,a,b),X_18),c)) )],[refute_0_7084,refute_0_7090]) ).

cnf(refute_0_7092,plain,
    product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) = bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(product(a,product(b,c)))),bind(C,$fot(X_18)),bind(X_70,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7093,plain,
    ( bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) != product(product(bigC(a,a,b),X_18),c)
    | product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) != bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18)
    | product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_18),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))))),bind(Y,$fot(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18))),bind(Z,$fot(product(product(bigC(a,a,b),X_18),c)))]]) ).

cnf(refute_0_7094,plain,
    ( bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18) != product(product(bigC(a,a,b),X_18),c)
    | product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))),bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18)) )],[refute_0_7092,refute_0_7093]) ).

cnf(refute_0_7095,plain,
    product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),product(a,product(b,c)),X_18),product(product(bigC(a,a,b),X_18),c)) )],[refute_0_7091,refute_0_7094]) ).

cnf(refute_0_7096,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))
    | product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))) != product(product(bigC(a,a,b),X_18),c)
    | bigC(c,X_18,product(a,product(b,c))) = product(product(bigC(a,a,b),X_18),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(a,product(b,c))),product(product(bigC(a,a,b),X_18),c)) ),[0],$fot(product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7097,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(bigC(a,a,b),X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b))),product(product(bigC(a,a,b),X_18),c)) )],[refute_0_7095,refute_0_7096]) ).

cnf(refute_0_7098,plain,
    bigC(c,X_18,product(a,product(b,c))) = product(product(bigC(a,a,b),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),bigC(a,b,product(a,b))),X_18),bigC(a,b,product(a,b)))) )],[refute_0_7057,refute_0_7097]) ).

cnf(refute_0_7099,plain,
    bigC(c,product(c,b),product(a,product(b,c))) = product(product(bigC(a,a,b),product(c,b)),c),
    inference(subst,[],[refute_0_7098:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_7100,plain,
    ( bigC(c,product(c,b),product(a,product(b,c))) != product(product(bigC(a,a,b),product(c,b)),c)
    | product(product(bigC(a,a,b),product(c,b)),c) != product(product(a,product(b,product(b,c))),c)
    | bigC(c,product(c,b),product(a,product(b,c))) = product(product(a,product(b,product(b,c))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,b),product(a,product(b,c))))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,b)),c))),bind(Z,$fot(product(product(a,product(b,product(b,c))),c)))]]) ).

cnf(refute_0_7101,plain,
    ( product(product(bigC(a,a,b),product(c,b)),c) != product(product(a,product(b,product(b,c))),c)
    | bigC(c,product(c,b),product(a,product(b,c))) = product(product(a,product(b,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(a,product(b,c))),product(product(bigC(a,a,b),product(c,b)),c)) )],[refute_0_7099,refute_0_7100]) ).

cnf(refute_0_7102,plain,
    bigC(c,product(c,b),product(a,product(b,c))) = product(product(a,product(b,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(product(a,product(b,product(b,c))),c)) )],[refute_0_7018,refute_0_7101]) ).

cnf(refute_0_7103,plain,
    ( bigC(c,product(c,b),product(a,product(b,c))) != product(product(a,product(b,product(b,c))),c)
    | product(c,product(c,bigC(b,b,c))) != bigC(c,product(c,b),product(a,product(b,c)))
    | product(c,product(c,bigC(b,b,c))) = product(product(a,product(b,product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,bigC(b,b,c))),bigC(c,product(c,b),product(a,product(b,c)))) ),[1],$fot(product(product(a,product(b,product(b,c))),c))]]) ).

cnf(refute_0_7104,plain,
    ( product(c,product(c,bigC(b,b,c))) != bigC(c,product(c,b),product(a,product(b,c)))
    | product(c,product(c,bigC(b,b,c))) = product(product(a,product(b,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(a,product(b,c))),product(product(a,product(b,product(b,c))),c)) )],[refute_0_7102,refute_0_7103]) ).

cnf(refute_0_7105,plain,
    product(c,product(c,bigC(b,b,c))) = product(product(a,product(b,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,b,c))),bigC(c,product(c,b),product(a,product(b,c)))) )],[refute_0_6933,refute_0_7104]) ).

cnf(refute_0_7106,plain,
    ( product(c,product(c,bigC(b,b,c))) != product(product(a,product(b,product(b,c))),c)
    | product(product(a,product(b,product(b,c))),c) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,bigC(b,b,c))))),bind(Y,$fot(product(product(a,product(b,product(b,c))),c)))]]) ).

cnf(refute_0_7107,plain,
    product(product(a,product(b,product(b,c))),c) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,b,c))),product(product(a,product(b,product(b,c))),c)) )],[refute_0_7105,refute_0_7106]) ).

cnf(refute_0_7108,plain,
    ( product(product(a,product(b,product(b,c))),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(a,product(b,product(b,c))),product(X_25,c)) != product(product(product(a,product(b,product(b,c))),X_25),product(product(a,product(b,product(b,c))),c))
    | product(product(a,product(b,product(b,c))),product(X_25,c)) = product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(X_25,c)),product(product(product(a,product(b,product(b,c))),X_25),product(product(a,product(b,product(b,c))),c))) ),[1,1],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_7109,plain,
    ( product(product(a,product(b,product(b,c))),product(X_25,c)) != product(product(product(a,product(b,product(b,c))),X_25),product(product(a,product(b,product(b,c))),c))
    | product(product(a,product(b,product(b,c))),product(X_25,c)) = product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_7107,refute_0_7108]) ).

cnf(refute_0_7110,plain,
    product(product(a,product(b,product(b,c))),product(X_25,c)) = product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(X_25,c)),product(product(product(a,product(b,product(b,c))),X_25),product(product(a,product(b,product(b,c))),c))) )],[refute_0_6888,refute_0_7109]) ).

cnf(refute_0_7111,plain,
    product(bigC(b,b,c),bigC(b,b,c)) = bigC(b,b,c),
    inference(subst,[],[refute_0_22:[bind(A,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7112,plain,
    product(X_25,product(bigC(b,b,c),bigC(b,b,c))) = product(X_25,product(bigC(b,b,c),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(X_25,product(bigC(b,b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_7113,plain,
    ( product(X_25,product(bigC(b,b,c),bigC(b,b,c))) != product(X_25,product(bigC(b,b,c),bigC(b,b,c)))
    | product(bigC(b,b,c),bigC(b,b,c)) != bigC(b,b,c)
    | product(X_25,product(bigC(b,b,c),bigC(b,b,c))) = product(X_25,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_25,product(bigC(b,b,c),bigC(b,b,c))),product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_7114,plain,
    ( product(bigC(b,b,c),bigC(b,b,c)) != bigC(b,b,c)
    | product(X_25,product(bigC(b,b,c),bigC(b,b,c))) = product(X_25,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(X_25,product(bigC(b,b,c),bigC(b,b,c))),product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) )],[refute_0_7112,refute_0_7113]) ).

cnf(refute_0_7115,plain,
    product(X_25,product(bigC(b,b,c),bigC(b,b,c))) = product(X_25,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,b,c)),bigC(b,b,c)) )],[refute_0_7111,refute_0_7114]) ).

cnf(refute_0_7116,plain,
    product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))))]]) ).

cnf(refute_0_7117,plain,
    ( product(X_25,product(bigC(b,b,c),bigC(b,b,c))) != product(X_25,bigC(b,b,c))
    | product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))) ),[1,1],$fot(product(X_25,bigC(b,b,c)))]]) ).

cnf(refute_0_7118,plain,
    ( product(X_25,product(bigC(b,b,c),bigC(b,b,c))) != product(X_25,bigC(b,b,c))
    | product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))) )],[refute_0_7116,refute_0_7117]) ).

cnf(refute_0_7119,plain,
    product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(X_25,product(bigC(b,b,c),bigC(b,b,c))),product(X_25,bigC(b,b,c))) )],[refute_0_7115,refute_0_7118]) ).

cnf(refute_0_7120,plain,
    product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_26,$fot(product(bigC(b,b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_7121,plain,
    product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) = product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(C,$fot(X_25)),bind(X_65,$fot(c)),bind(X_66,$fot(bigC(b,b,c))),bind(X_67,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7122,plain,
    ( product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) != product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))))),bind(Y,$fot(product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))))),bind(Z,$fot(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))))]]) ).

cnf(refute_0_7123,plain,
    ( product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))),product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c))))) )],[refute_0_7121,refute_0_7122]) ).

cnf(refute_0_7124,plain,
    product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(c,product(bigC(b,b,c),bigC(b,b,c)))),product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))) )],[refute_0_7120,refute_0_7123]) ).

cnf(refute_0_7125,plain,
    product(product(product(a,product(b,product(b,c))),B),product(c,D)) = product(product(product(a,product(b,product(b,c))),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,product(b,product(b,c))))),bind(C,$fot(c))]]) ).

cnf(refute_0_7126,plain,
    ( product(product(a,product(b,product(b,c))),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(product(a,product(b,product(b,c))),B),product(c,D)) != product(product(product(a,product(b,product(b,c))),c),product(B,D))
    | product(product(product(a,product(b,product(b,c))),B),product(c,D)) = product(product(c,product(c,bigC(b,b,c))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,product(b,c))),B),product(c,D)),product(product(product(a,product(b,product(b,c))),c),product(B,D))) ),[1,0],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_7127,plain,
    ( product(product(product(a,product(b,product(b,c))),B),product(c,D)) != product(product(product(a,product(b,product(b,c))),c),product(B,D))
    | product(product(product(a,product(b,product(b,c))),B),product(c,D)) = product(product(c,product(c,bigC(b,b,c))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_7107,refute_0_7126]) ).

cnf(refute_0_7128,plain,
    product(product(product(a,product(b,product(b,c))),B),product(c,D)) = product(product(c,product(c,bigC(b,b,c))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,product(b,c))),B),product(c,D)),product(product(product(a,product(b,product(b,c))),c),product(B,D))) )],[refute_0_7125,refute_0_7127]) ).

cnf(refute_0_7129,plain,
    product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_7128:[bind(B,$fot(X_25)),bind(D,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_7130,plain,
    ( product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) != product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c))))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))))),bind(Y,$fot(product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))))),bind(Z,$fot(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))))]]) ).

cnf(refute_0_7131,plain,
    ( product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))),product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c))))) )],[refute_0_7129,refute_0_7130]) ).

cnf(refute_0_7132,plain,
    product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(b,b,c))),product(X_25,product(c,bigC(b,b,c)))),product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))) )],[refute_0_7124,refute_0_7131]) ).

cnf(refute_0_7133,plain,
    ( product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) != product(c,product(X_25,bigC(b,b,c)))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) != product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))))),bind(Y,$fot(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))))),bind(Z,$fot(product(c,product(X_25,bigC(b,b,c)))))]]) ).

cnf(refute_0_7134,plain,
    ( product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))) != product(c,product(X_25,bigC(b,b,c)))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))),product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c))))) )],[refute_0_7132,refute_0_7133]) ).

cnf(refute_0_7135,plain,
    product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) = product(c,product(X_25,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(bigC(b,b,c),bigC(b,b,c)))),product(c,product(X_25,bigC(b,b,c)))) )],[refute_0_7119,refute_0_7134]) ).

cnf(refute_0_7136,plain,
    ( product(product(a,product(b,product(b,c))),product(X_25,c)) != product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c))))
    | product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))) != product(c,product(X_25,bigC(b,b,c)))
    | product(product(a,product(b,product(b,c))),product(X_25,c)) = product(c,product(X_25,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(b,product(b,c))),product(X_25,c)),product(c,product(X_25,bigC(b,b,c)))) ),[0],$fot(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_7137,plain,
    ( product(product(a,product(b,product(b,c))),product(X_25,c)) != product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c))))
    | product(product(a,product(b,product(b,c))),product(X_25,c)) = product(c,product(X_25,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c)))),product(c,product(X_25,bigC(b,b,c)))) )],[refute_0_7135,refute_0_7136]) ).

cnf(refute_0_7138,plain,
    product(product(a,product(b,product(b,c))),product(X_25,c)) = product(c,product(X_25,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(X_25,c)),product(product(product(a,product(b,product(b,c))),X_25),product(c,product(c,bigC(b,b,c))))) )],[refute_0_7110,refute_0_7137]) ).

cnf(refute_0_7139,plain,
    product(product(a,product(b,product(b,c))),product(C,c)) = product(c,product(C,bigC(b,b,c))),
    inference(subst,[],[refute_0_7138:[bind(X_25,$fot(C))]]) ).

cnf(refute_0_7140,plain,
    ( bigC(c,product(product(a,c),b),C) != product(product(a,product(b,product(b,c))),product(C,c))
    | product(product(a,product(b,product(b,c))),product(C,c)) != product(c,product(C,bigC(b,b,c)))
    | bigC(c,product(product(a,c),b),C) = product(c,product(C,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(product(a,c),b),C),product(c,product(C,bigC(b,b,c)))) ),[0],$fot(product(product(a,product(b,product(b,c))),product(C,c)))]]) ).

cnf(refute_0_7141,plain,
    ( bigC(c,product(product(a,c),b),C) != product(product(a,product(b,product(b,c))),product(C,c))
    | bigC(c,product(product(a,c),b),C) = product(c,product(C,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(C,c)),product(c,product(C,bigC(b,b,c)))) )],[refute_0_7139,refute_0_7140]) ).

cnf(refute_0_7142,plain,
    bigC(c,product(product(a,c),b),C) = product(c,product(C,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),b),C),product(product(a,product(b,product(b,c))),product(C,c))) )],[refute_0_6887,refute_0_7141]) ).

cnf(refute_0_7143,plain,
    bigC(c,product(product(a,c),b),product(a,b)) = product(c,product(product(a,b),bigC(b,b,c))),
    inference(subst,[],[refute_0_7142:[bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_7144,plain,
    ( bigC(c,product(product(a,c),b),product(a,b)) != product(c,product(product(a,b),bigC(b,b,c)))
    | bigC(c,product(product(a,c),b),product(a,b)) != product(product(a,b),bigC(a,b,product(a,b)))
    | product(c,product(product(a,b),bigC(b,b,c))) = product(product(a,b),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(a,c),b),product(a,b)),product(product(a,b),bigC(a,b,product(a,b)))) ),[0],$fot(product(c,product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_7145,plain,
    ( bigC(c,product(product(a,c),b),product(a,b)) != product(product(a,b),bigC(a,b,product(a,b)))
    | product(c,product(product(a,b),bigC(b,b,c))) = product(product(a,b),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),b),product(a,b)),product(c,product(product(a,b),bigC(b,b,c)))) )],[refute_0_7143,refute_0_7144]) ).

cnf(refute_0_7146,plain,
    product(c,product(product(a,b),bigC(b,b,c))) = product(product(a,b),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),b),product(a,b)),product(product(a,b),bigC(a,b,product(a,b)))) )],[refute_0_6883,refute_0_7145]) ).

cnf(refute_0_7147,plain,
    ( product(c,product(product(a,b),bigC(b,b,c))) != product(product(a,b),bigC(a,b,product(a,b)))
    | product(product(a,b),bigC(a,b,product(a,b))) = product(c,product(product(a,b),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(a,b),bigC(b,b,c))))),bind(Y,$fot(product(product(a,b),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_7148,plain,
    product(product(a,b),bigC(a,b,product(a,b))) = product(c,product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),bigC(b,b,c))),product(product(a,b),bigC(a,b,product(a,b)))) )],[refute_0_7146,refute_0_7147]) ).

cnf(refute_0_7149,plain,
    ( product(product(a,b),bigC(a,b,product(a,b))) != product(c,product(product(a,b),bigC(b,b,c)))
    | quotient(product(product(a,b),bigC(a,b,product(a,b))),product(a,b)) != product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),bigC(a,b,product(a,b))),product(a,b)),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) ),[0,0],$fot(product(c,product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_7150,plain,
    ( quotient(product(product(a,b),bigC(a,b,product(a,b))),product(a,b)) != product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,product(a,b))),product(c,product(product(a,b),bigC(b,b,c)))) )],[refute_0_7148,refute_0_7149]) ).

cnf(refute_0_7151,plain,
    quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),bigC(a,b,product(a,b))),product(a,b)),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) )],[refute_0_6382,refute_0_7150]) ).

cnf(refute_0_7152,plain,
    product(c,product(product(c,b),b)) = product(product(c,product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7153,plain,
    quotient(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(c,b,product(c,b))) = product(bigC(a,a,b),b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(bigC(a,a,b),b))),bind(B,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7154,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,b))),bind(X_18,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7155,plain,
    difference(product(c,b),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7156,plain,
    product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) = product(c,b),
    inference(subst,[],[refute_0_11:[bind(A,$fot(bigC(c,b,product(c,b)))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_7157,plain,
    difference(product(product(c,product(c,bigC(c,a,c))),b),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(product(c,product(c,bigC(c,a,c))),b))),bind(B,$fot(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))]]) ).

cnf(refute_0_7158,plain,
    product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),
    inference(subst,[],[refute_0_489:[bind(B,$fot(product(product(c,product(c,product(c,a))),b))),bind(X_15,$fot(difference(product(bigC(c,a,c),b),product(c,b))))]]) ).

cnf(refute_0_7159,plain,
    difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = product(c,b),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(c,b))),bind(X_41,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_7160,plain,
    difference(product(product(bigC(c,a,b),product(c,b)),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(bigC(c,a,b))),bind(X_16,$fot(product(c,b)))]]) ).

cnf(refute_0_7161,plain,
    ( difference(product(product(bigC(c,a,b),product(c,b)),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | product(bigC(c,a,b),product(c,b)) != product(product(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( $equal(difference(product(product(bigC(c,a,b),product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) ),[0,0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_7162,plain,
    ( difference(product(product(bigC(c,a,b),product(c,b)),product(c,b)),product(c,b)) != product(product(c,b),product(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))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_215,refute_0_7161]) ).

cnf(refute_0_7163,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(bigC(c,a,b),product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_7160,refute_0_7162]) ).

cnf(refute_0_7164,plain,
    product(bigC(c,a,c),product(b,b)) = product(bigC(c,a,c),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(b,b)))]]) ).

cnf(refute_0_7165,plain,
    ( product(b,b) != b
    | product(bigC(c,a,c),product(b,b)) != product(bigC(c,a,c),product(b,b))
    | product(bigC(c,a,c),product(b,b)) = product(bigC(c,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(b,b)),product(bigC(c,a,c),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_7166,plain,
    ( product(b,b) != b
    | product(bigC(c,a,c),product(b,b)) = product(bigC(c,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,b)),product(bigC(c,a,c),product(b,b))) )],[refute_0_7164,refute_0_7165]) ).

cnf(refute_0_7167,plain,
    product(bigC(c,a,c),product(b,b)) = product(bigC(c,a,c),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_7166]) ).

cnf(refute_0_7168,plain,
    product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),product(b,b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(c)),bind(X_25,$fot(b)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7169,plain,
    ( product(bigC(c,a,c),product(b,b)) != product(bigC(c,a,c),b)
    | product(product(product(c,a),b),product(c,b)) != product(bigC(c,a,c),product(b,b))
    | product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),b),product(c,b)))),bind(Y,$fot(product(bigC(c,a,c),product(b,b)))),bind(Z,$fot(product(bigC(c,a,c),b)))]]) ).

cnf(refute_0_7170,plain,
    ( product(bigC(c,a,c),product(b,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(bigC(c,a,c),product(b,b))) )],[refute_0_7168,refute_0_7169]) ).

cnf(refute_0_7171,plain,
    product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,b)),product(bigC(c,a,c),b)) )],[refute_0_7167,refute_0_7170]) ).

cnf(refute_0_7172,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_7173,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_7174,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_7172,refute_0_7173]) ).

cnf(refute_0_7175,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_7171,refute_0_7174]) ).

cnf(refute_0_7176,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_7177,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_7175,refute_0_7176]) ).

cnf(refute_0_7178,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_7163,refute_0_7177]) ).

cnf(refute_0_7179,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_16:[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_7180,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_7178,refute_0_7179]) ).

cnf(refute_0_7181,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,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))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),product(c,b)) ),[0,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_7182,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) != product(c,b)
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,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_7180,refute_0_7181]) ).

cnf(refute_0_7183,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),product(c,b)) )],[refute_0_7159,refute_0_7182]) ).

cnf(refute_0_7184,plain,
    product(product(c,b),product(product(c,product(c,a)),b)) = product(product(c,product(c,product(c,a))),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(c)),bind(X_24,$fot(product(c,product(c,a)))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7185,plain,
    product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))))]]) ).

cnf(refute_0_7186,plain,
    ( bigC(product(c,b),bigC(c,a,b),product(c,b)) != product(product(c,product(c,a)),b)
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,b),product(product(c,product(c,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))) ),[1,1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_7187,plain,
    ( bigC(product(c,b),bigC(c,a,b),product(c,b)) != product(product(c,product(c,a)),b)
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,b),product(product(c,product(c,a)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))) )],[refute_0_7185,refute_0_7186]) ).

cnf(refute_0_7188,plain,
    product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,b),product(product(c,product(c,a)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),product(c,b)),product(product(c,product(c,a)),b)) )],[refute_0_1179,refute_0_7187]) ).

cnf(refute_0_7189,plain,
    ( product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,b),product(product(c,product(c,a)),b))
    | product(product(c,b),product(product(c,product(c,a)),b)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))))),bind(Y,$fot(product(product(c,b),product(product(c,product(c,a)),b)))),bind(Z,$fot(product(product(c,product(c,product(c,a))),b)))]]) ).

cnf(refute_0_7190,plain,
    ( product(product(c,b),product(product(c,product(c,a)),b)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),product(product(c,b),product(product(c,product(c,a)),b))) )],[refute_0_7188,refute_0_7189]) ).

cnf(refute_0_7191,plain,
    product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,product(c,a)),b)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_7184,refute_0_7190]) ).

cnf(refute_0_7192,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(c,a,b))),bind(X_35,$fot(product(c,b)))]]) ).

cnf(refute_0_7193,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,product(c,product(c,a))),b)
    | bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))))),bind(Z,$fot(product(product(c,product(c,product(c,a))),b)))]]) ).

cnf(refute_0_7194,plain,
    ( product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,product(c,product(c,a))),b)
    | bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))) )],[refute_0_7192,refute_0_7193]) ).

cnf(refute_0_7195,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),product(product(c,product(c,product(c,a))),b)) )],[refute_0_7191,refute_0_7194]) ).

cnf(refute_0_7196,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_7197,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,product(c,product(c,a))),b)
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))) ),[1,1],$fot(product(product(c,product(c,product(c,a))),b))]]) ).

cnf(refute_0_7198,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,product(c,product(c,a))),b)
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))) )],[refute_0_7196,refute_0_7197]) ).

cnf(refute_0_7199,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,product(c,product(c,a))),b)) )],[refute_0_7195,refute_0_7198]) ).

cnf(refute_0_7200,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) != product(c,b)
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),product(c,b)) ),[0],$fot(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)))]]) ).

cnf(refute_0_7201,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) != product(c,b)
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) )],[refute_0_7199,refute_0_7200]) ).

cnf(refute_0_7202,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))),product(c,b)) )],[refute_0_7183,refute_0_7201]) ).

cnf(refute_0_7203,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) ),[0,1,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_7204,plain,
    ( product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(c,b)) )],[refute_0_7202,refute_0_7203]) ).

cnf(refute_0_7205,plain,
    product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) )],[refute_0_7158,refute_0_7204]) ).

cnf(refute_0_7206,plain,
    product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))]]) ).

cnf(refute_0_7207,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) != product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_7208,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) )],[refute_0_7206,refute_0_7207]) ).

cnf(refute_0_7209,plain,
    product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(c,b)) )],[refute_0_7202,refute_0_7208]) ).

cnf(refute_0_7210,plain,
    product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))]]) ).

cnf(refute_0_7211,plain,
    ( product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) ),[1,1],$fot(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))]]) ).

cnf(refute_0_7212,plain,
    ( product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) )],[refute_0_7210,refute_0_7211]) ).

cnf(refute_0_7213,plain,
    product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),
    inference(resolve,[$cnf( $equal(product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) )],[refute_0_7209,refute_0_7212]) ).

cnf(refute_0_7214,plain,
    product(product(c,product(c,bigC(c,a,c))),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),product(b,b)),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,bigC(c,a,c))),product(b,b)))]]) ).

cnf(refute_0_7215,plain,
    ( product(b,b) != b
    | product(product(c,product(c,bigC(c,a,c))),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),product(b,b))
    | product(product(c,product(c,bigC(c,a,c))),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),product(b,b)),product(product(c,product(c,bigC(c,a,c))),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_7216,plain,
    ( product(b,b) != b
    | product(product(c,product(c,bigC(c,a,c))),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),product(b,b)),product(product(c,product(c,bigC(c,a,c))),product(b,b))) )],[refute_0_7214,refute_0_7215]) ).

cnf(refute_0_7217,plain,
    product(product(c,product(c,bigC(c,a,c))),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_7216]) ).

cnf(refute_0_7218,plain,
    product(c,bigC(c,product(c,a),c)) = product(c,bigC(c,product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,product(c,a),c)))]]) ).

cnf(refute_0_7219,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(c,bigC(c,product(c,a),c)) != product(c,bigC(c,product(c,a),c))
    | product(c,bigC(c,product(c,a),c)) = product(c,product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,product(c,a),c)),product(c,bigC(c,product(c,a),c))) ),[1,1],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_7220,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(c,bigC(c,product(c,a),c)) = product(c,product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,a),c)),product(c,bigC(c,product(c,a),c))) )],[refute_0_7218,refute_0_7219]) ).

cnf(refute_0_7221,plain,
    product(c,bigC(c,product(c,a),c)) = product(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_984,refute_0_7220]) ).

cnf(refute_0_7222,plain,
    bigC(c,c,product(c,product(c,a))) = product(c,bigC(c,product(c,a),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(c,a))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_7223,plain,
    bigC(c,product(c,product(c,a)),c) = bigC(c,c,product(c,product(c,a))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_7224,plain,
    ( bigC(c,c,product(c,product(c,a))) != product(c,bigC(c,product(c,a),c))
    | bigC(c,product(c,product(c,a)),c) != bigC(c,c,product(c,product(c,a)))
    | bigC(c,product(c,product(c,a)),c) = product(c,bigC(c,product(c,a),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(c,a)),c))),bind(Y,$fot(bigC(c,c,product(c,product(c,a))))),bind(Z,$fot(product(c,bigC(c,product(c,a),c))))]]) ).

cnf(refute_0_7225,plain,
    ( bigC(c,c,product(c,product(c,a))) != product(c,bigC(c,product(c,a),c))
    | bigC(c,product(c,product(c,a)),c) = product(c,bigC(c,product(c,a),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,a)),c),bigC(c,c,product(c,product(c,a)))) )],[refute_0_7223,refute_0_7224]) ).

cnf(refute_0_7226,plain,
    bigC(c,product(c,product(c,a)),c) = product(c,bigC(c,product(c,a),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,a))),product(c,bigC(c,product(c,a),c))) )],[refute_0_7222,refute_0_7225]) ).

cnf(refute_0_7227,plain,
    ( bigC(c,product(c,product(c,a)),c) != product(c,bigC(c,product(c,a),c))
    | product(c,bigC(c,product(c,a),c)) != product(c,product(c,bigC(c,a,c)))
    | bigC(c,product(c,product(c,a)),c) = product(c,product(c,bigC(c,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(c,a)),c))),bind(Y,$fot(product(c,bigC(c,product(c,a),c)))),bind(Z,$fot(product(c,product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_7228,plain,
    ( product(c,bigC(c,product(c,a),c)) != product(c,product(c,bigC(c,a,c)))
    | bigC(c,product(c,product(c,a)),c) = product(c,product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,a)),c),product(c,bigC(c,product(c,a),c))) )],[refute_0_7226,refute_0_7227]) ).

cnf(refute_0_7229,plain,
    bigC(c,product(c,product(c,a)),c) = product(c,product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,a),c)),product(c,product(c,bigC(c,a,c)))) )],[refute_0_7221,refute_0_7228]) ).

cnf(refute_0_7230,plain,
    product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(bigC(c,product(c,product(c,a)),c),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,product(c,a)),c),product(b,b)))]]) ).

cnf(refute_0_7231,plain,
    ( bigC(c,product(c,product(c,a)),c) != product(c,product(c,bigC(c,a,c)))
    | product(bigC(c,product(c,product(c,a)),c),product(b,b)) != product(bigC(c,product(c,product(c,a)),c),product(b,b))
    | product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,product(c,a)),c),product(b,b)),product(bigC(c,product(c,product(c,a)),c),product(b,b))) ),[1,0],$fot(product(c,product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_7232,plain,
    ( bigC(c,product(c,product(c,a)),c) != product(c,product(c,bigC(c,a,c)))
    | product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,product(c,a)),c),product(b,b)),product(bigC(c,product(c,product(c,a)),c),product(b,b))) )],[refute_0_7230,refute_0_7231]) ).

cnf(refute_0_7233,plain,
    product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,a)),c),product(c,product(c,bigC(c,a,c)))) )],[refute_0_7229,refute_0_7232]) ).

cnf(refute_0_7234,plain,
    ( product(bigC(c,product(c,product(c,a)),c),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),product(b,b))
    | product(product(c,product(c,bigC(c,a,c))),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(c,product(c,a)),c),product(b,b)))),bind(Y,$fot(product(product(c,product(c,bigC(c,a,c))),product(b,b)))),bind(Z,$fot(product(product(c,product(c,bigC(c,a,c))),b)))]]) ).

cnf(refute_0_7235,plain,
    ( product(product(c,product(c,bigC(c,a,c))),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,product(c,a)),c),product(b,b)),product(product(c,product(c,bigC(c,a,c))),product(b,b))) )],[refute_0_7233,refute_0_7234]) ).

cnf(refute_0_7236,plain,
    product(bigC(c,product(c,product(c,a)),c),product(b,b)) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),product(b,b)),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7217,refute_0_7235]) ).

cnf(refute_0_7237,plain,
    product(product(product(c,product(c,product(c,a))),b),product(c,b)) = product(bigC(c,product(c,product(c,a)),c),product(b,b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(c,product(c,a)))),bind(X_24,$fot(c)),bind(X_25,$fot(b)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7238,plain,
    ( product(bigC(c,product(c,product(c,a)),c),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(c,product(c,product(c,a))),b),product(c,b)) != product(bigC(c,product(c,product(c,a)),c),product(b,b))
    | product(product(product(c,product(c,product(c,a))),b),product(c,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,product(c,a))),b),product(c,b)))),bind(Y,$fot(product(bigC(c,product(c,product(c,a)),c),product(b,b)))),bind(Z,$fot(product(product(c,product(c,bigC(c,a,c))),b)))]]) ).

cnf(refute_0_7239,plain,
    ( product(bigC(c,product(c,product(c,a)),c),product(b,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(c,product(c,product(c,a))),b),product(c,b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),product(c,b)),product(bigC(c,product(c,product(c,a)),c),product(b,b))) )],[refute_0_7237,refute_0_7238]) ).

cnf(refute_0_7240,plain,
    product(product(product(c,product(c,product(c,a))),b),product(c,b)) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,product(c,a)),c),product(b,b)),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7236,refute_0_7239]) ).

cnf(refute_0_7241,plain,
    product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))))]]) ).

cnf(refute_0_7242,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) != product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)))
    | product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(product(c,product(c,product(c,a))),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7243,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(product(c,product(c,product(c,a))),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)))) )],[refute_0_7241,refute_0_7242]) ).

cnf(refute_0_7244,plain,
    product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(product(c,product(c,product(c,a))),b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(c,b)) )],[refute_0_7202,refute_0_7243]) ).

cnf(refute_0_7245,plain,
    ( product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) != product(product(product(c,product(c,product(c,a))),b),product(c,b))
    | product(product(product(c,product(c,product(c,a))),b),product(c,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))))),bind(Y,$fot(product(product(product(c,product(c,product(c,a))),b),product(c,b)))),bind(Z,$fot(product(product(c,product(c,bigC(c,a,c))),b)))]]) ).

cnf(refute_0_7246,plain,
    ( product(product(product(c,product(c,product(c,a))),b),product(c,b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(product(product(c,product(c,product(c,a))),b),product(c,b))) )],[refute_0_7244,refute_0_7245]) ).

cnf(refute_0_7247,plain,
    product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),product(c,b)),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7240,refute_0_7246]) ).

cnf(refute_0_7248,plain,
    product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))]]) ).

cnf(refute_0_7249,plain,
    ( product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) ),[1,0],$fot(product(product(c,product(c,bigC(c,a,c))),b))]]) ).

cnf(refute_0_7250,plain,
    ( product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) )],[refute_0_7248,refute_0_7249]) ).

cnf(refute_0_7251,plain,
    product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7247,refute_0_7250]) ).

cnf(refute_0_7252,plain,
    ( product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))),bind(Y,$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))),bind(Z,$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))))]]) ).

cnf(refute_0_7253,plain,
    ( product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) )],[refute_0_7251,refute_0_7252]) ).

cnf(refute_0_7254,plain,
    product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) )],[refute_0_7213,refute_0_7253]) ).

cnf(refute_0_7255,plain,
    ( product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) ),[0],$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))]]) ).

cnf(refute_0_7256,plain,
    ( product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) )],[refute_0_7254,refute_0_7255]) ).

cnf(refute_0_7257,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)) != product(c,b)
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) ),[1],$fot(product(c,b))]]) ).

cnf(refute_0_7258,plain,
    ( product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(c,b)) )],[refute_0_7202,refute_0_7257]) ).

cnf(refute_0_7259,plain,
    ( product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) )],[refute_0_7256,refute_0_7258]) ).

cnf(refute_0_7260,plain,
    product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,product(c,a))),b),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))),product(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b)),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,product(c,product(c,a))),b))) )],[refute_0_7205,refute_0_7259]) ).

cnf(refute_0_7261,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(c,b)
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_7262,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(c,b)) )],[refute_0_7260,refute_0_7261]) ).

cnf(refute_0_7263,plain,
    difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) )],[refute_0_7157,refute_0_7262]) ).

cnf(refute_0_7264,plain,
    product(product(c,b),bigC(c,b,c)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(c)),bind(B,$fot(b)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_7265,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_7266,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_7267,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_7265,refute_0_7266]) ).

cnf(refute_0_7268,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_1220,refute_0_7267]) ).

cnf(refute_0_7269,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_32:[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_7270,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_7268,refute_0_7269]) ).

cnf(refute_0_7271,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_7264,refute_0_7270]) ).

cnf(refute_0_7272,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_7273,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_7271,refute_0_7272]) ).

cnf(refute_0_7274,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_7178,refute_0_7273]) ).

cnf(refute_0_7275,plain,
    product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))]]) ).

cnf(refute_0_7276,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) != product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(c,b),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) ),[1,1],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_7277,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(c,b),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) )],[refute_0_7275,refute_0_7276]) ).

cnf(refute_0_7278,plain,
    product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(c,b),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_7274,refute_0_7277]) ).

cnf(refute_0_7279,plain,
    product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))]]) ).

cnf(refute_0_7280,plain,
    ( product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) != product(product(c,b),bigC(c,b,product(c,b)))
    | product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) ),[1,1],$fot(product(product(c,b),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7281,plain,
    ( product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))) != product(product(c,b),bigC(c,b,product(c,b)))
    | product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) )],[refute_0_7279,refute_0_7280]) ).

cnf(refute_0_7282,plain,
    product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))),product(product(c,b),bigC(c,b,product(c,b)))) )],[refute_0_7278,refute_0_7281]) ).

cnf(refute_0_7283,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))) != product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) ),[0],$fot(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))))]]) ).

cnf(refute_0_7284,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b)))),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) )],[refute_0_7282,refute_0_7283]) ).

cnf(refute_0_7285,plain,
    difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) )],[refute_0_7263,refute_0_7284]) ).

cnf(refute_0_7286,plain,
    product(c,product(c,bigC(c,a,c))) = product(c,product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(product(c,product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_7287,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(c,product(c,bigC(c,a,c))) != product(c,product(c,bigC(c,a,c)))
    | product(c,product(c,bigC(c,a,c))) = product(c,product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,bigC(c,a,c))),product(c,product(c,bigC(c,a,c)))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_7288,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(c,product(c,bigC(c,a,c))) = product(c,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(c,a,c))),product(c,product(c,bigC(c,a,c)))) )],[refute_0_7286,refute_0_7287]) ).

cnf(refute_0_7289,plain,
    product(c,product(c,bigC(c,a,c))) = product(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_1950,refute_0_7288]) ).

cnf(refute_0_7290,plain,
    product(product(c,product(c,bigC(c,a,c))),b) = product(product(c,product(c,bigC(c,a,c))),b),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,bigC(c,a,c))),b))]]) ).

cnf(refute_0_7291,plain,
    ( product(c,product(c,bigC(c,a,c))) != product(c,product(c,bigC(a,a,b)))
    | product(product(c,product(c,bigC(c,a,c))),b) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(c,product(c,bigC(c,a,c))),b) = product(product(c,product(c,bigC(a,a,b))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,product(c,bigC(c,a,c))),b)) ),[1,0],$fot(product(c,product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_7292,plain,
    ( product(c,product(c,bigC(c,a,c))) != product(c,product(c,bigC(a,a,b)))
    | product(product(c,product(c,bigC(c,a,c))),b) = product(product(c,product(c,bigC(a,a,b))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7290,refute_0_7291]) ).

cnf(refute_0_7293,plain,
    product(product(c,product(c,bigC(c,a,c))),b) = product(product(c,product(c,bigC(a,a,b))),b),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(c,a,c))),product(c,product(c,bigC(a,a,b)))) )],[refute_0_7289,refute_0_7292]) ).

cnf(refute_0_7294,plain,
    difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)))]]) ).

cnf(refute_0_7295,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b))
    | product(product(c,product(c,bigC(c,a,c))),b) != product(product(c,product(c,bigC(a,a,b))),b)
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b))) ),[1,0],$fot(product(product(c,product(c,bigC(a,a,b))),b))]]) ).

cnf(refute_0_7296,plain,
    ( product(product(c,product(c,bigC(c,a,c))),b) != product(product(c,product(c,bigC(a,a,b))),b)
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b))) )],[refute_0_7294,refute_0_7295]) ).

cnf(refute_0_7297,plain,
    difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) = difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,product(c,bigC(a,a,b))),b)) )],[refute_0_7293,refute_0_7296]) ).

cnf(refute_0_7298,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))
    | difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))
    | difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) ),[0],$fot(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))]]) ).

cnf(refute_0_7299,plain,
    ( difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))
    | difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) )],[refute_0_7297,refute_0_7298]) ).

cnf(refute_0_7300,plain,
    difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(c,a,c))),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) )],[refute_0_7285,refute_0_7299]) ).

cnf(refute_0_7301,plain,
    ( difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))
    | product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) = difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))),bind(Y,$fot(product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7302,plain,
    product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) = difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) )],[refute_0_7300,refute_0_7301]) ).

cnf(refute_0_7303,plain,
    ( product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) != difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) != product(c,b)
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),product(c,b)) ),[0,1],$fot(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))]]) ).

cnf(refute_0_7304,plain,
    ( product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) != product(c,b)
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) )],[refute_0_7302,refute_0_7303]) ).

cnf(refute_0_7305,plain,
    product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7156,refute_0_7304]) ).

cnf(refute_0_7306,plain,
    product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(bigC(a,a,b),b))),bind(D,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7307,plain,
    product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) = product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(b)),bind(D,$fot(bigC(c,b,product(c,b)))),bind(X_65,$fot(c)),bind(X_66,$fot(bigC(a,a,b))),bind(X_67,$fot(b))]]) ).

cnf(refute_0_7308,plain,
    ( product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) != product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b))))
    | product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))),bind(Y,$fot(product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))))),bind(Z,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7309,plain,
    ( product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))),product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b))))) )],[refute_0_7307,refute_0_7308]) ).

cnf(refute_0_7310,plain,
    product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(a,a,b),b)),product(b,bigC(c,b,product(c,b)))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7306,refute_0_7309]) ).

cnf(refute_0_7311,plain,
    product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7312,plain,
    ( product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) ),[1,1],$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7313,plain,
    ( product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7311,refute_0_7312]) ).

cnf(refute_0_7314,plain,
    product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7310,refute_0_7313]) ).

cnf(refute_0_7315,plain,
    product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(product(c,bigC(a,a,b)))),bind(B,$fot(b)),bind(C,$fot(product(c,b))),bind(D,$fot(bigC(c,b,product(c,b)))),bind(X_65,$fot(product(c,b)))]]) ).

cnf(refute_0_7316,plain,
    product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_3331:[bind(A,$fot(c)),bind(C,$fot(b)),bind(X_23,$fot(product(c,bigC(a,a,b)))),bind(X_24,$fot(b)),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7317,plain,
    ( product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b)))))
    | product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))))),bind(Y,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7318,plain,
    ( product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b)))))) )],[refute_0_7316,refute_0_7317]) ).

cnf(refute_0_7319,plain,
    product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,bigC(a,a,b)),product(c,b)),product(b,bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7315,refute_0_7318]) ).

cnf(refute_0_7320,plain,
    product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(b)),bind(D,$fot(product(product(c,b),bigC(c,b,product(c,b))))),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,bigC(a,a,b)))),bind(X_67,$fot(b))]]) ).

cnf(refute_0_7321,plain,
    ( product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))))),bind(Y,$fot(product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7322,plain,
    ( product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7320,refute_0_7321]) ).

cnf(refute_0_7323,plain,
    product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,bigC(a,a,b)),b)),product(b,product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7319,refute_0_7322]) ).

cnf(refute_0_7324,plain,
    product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),c))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7325,plain,
    quotient(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(c,product(c,bigC(c,a,c))),b))),bind(B,$fot(product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))]]) ).

cnf(refute_0_7326,plain,
    ( product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(c,b)
    | quotient(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(c,product(c,bigC(c,a,c))),b)
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(c,product(c,bigC(c,a,c))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,product(c,bigC(c,a,c))),b)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_7327,plain,
    ( quotient(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(c,product(c,bigC(c,a,c))),b)
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(c,b)) )],[refute_0_7260,refute_0_7326]) ).

cnf(refute_0_7328,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7325,refute_0_7327]) ).

cnf(refute_0_7329,plain,
    product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(difference(product(bigC(c,a,c),b),product(c,b)))),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_7330,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(difference(product(bigC(c,a,c),b),product(c,b)))),bind(X_16,$fot(product(c,b)))]]) ).

cnf(refute_0_7331,plain,
    ( product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)) != product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))))),bind(Y,$fot(product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)))),bind(Z,$fot(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))))]]) ).

cnf(refute_0_7332,plain,
    ( product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)) != product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b))) )],[refute_0_7330,refute_0_7331]) ).

cnf(refute_0_7333,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(c,b)),product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))) )],[refute_0_7329,refute_0_7332]) ).

cnf(refute_0_7334,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(c,product(c,bigC(c,a,c))),b)
    | quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))
    | product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,product(c,bigC(c,a,c))),b)) ),[0],$fot(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)))]]) ).

cnf(refute_0_7335,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) = product(product(c,product(c,bigC(c,a,c))),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b))) )],[refute_0_7333,refute_0_7334]) ).

cnf(refute_0_7336,plain,
    product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) = product(product(c,product(c,bigC(c,a,c))),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),difference(product(bigC(c,a,c),b),product(c,b))))),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7328,refute_0_7335]) ).

cnf(refute_0_7337,plain,
    ( product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)) != product(product(c,product(c,bigC(c,a,c))),b)
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(B,D))
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(B,D))) ),[1,0],$fot(product(product(c,product(c,bigC(c,a,c))),b))]]) ).

cnf(refute_0_7338,plain,
    ( product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(B,D))
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(product(c,product(c,bigC(c,a,c))),b)) )],[refute_0_7336,refute_0_7337]) ).

cnf(refute_0_7339,plain,
    product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(product(c,b),b)),product(B,D))) )],[refute_0_7324,refute_0_7338]) ).

cnf(refute_0_7340,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),c) = product(difference(product(bigC(c,a,c),b),product(c,b)),c),
    introduced(tautology,[refl,[$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),c))]]) ).

cnf(refute_0_7341,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)),c) != product(difference(product(bigC(c,a,c),b),product(c,b)),c)
    | product(difference(product(bigC(c,a,c),b),product(c,b)),c) = product(bigC(c,b,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(difference(product(bigC(c,a,c),b),product(c,b)),c)) ),[1,0],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_7342,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)),c) = product(bigC(c,b,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(difference(product(bigC(c,a,c),b),product(c,b)),c)) )],[refute_0_7340,refute_0_7341]) ).

cnf(refute_0_7343,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),c) = product(bigC(c,b,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),b),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_7274,refute_0_7342]) ).

cnf(refute_0_7344,plain,
    product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) = product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),
    introduced(tautology,[refl,[$fot(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B))]]) ).

cnf(refute_0_7345,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),c) != product(bigC(c,b,product(c,b)),c)
    | product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) != product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B)
    | product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) = product(product(bigC(c,b,product(c,b)),c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B)) ),[1,0],$fot(product(bigC(c,b,product(c,b)),c))]]) ).

cnf(refute_0_7346,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),c) != product(bigC(c,b,product(c,b)),c)
    | product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) = product(product(bigC(c,b,product(c,b)),c),B) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B)) )],[refute_0_7344,refute_0_7345]) ).

cnf(refute_0_7347,plain,
    product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) = product(product(bigC(c,b,product(c,b)),c),B),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),c),product(bigC(c,b,product(c,b)),c)) )],[refute_0_7343,refute_0_7346]) ).

cnf(refute_0_7348,plain,
    product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),
    introduced(tautology,[refl,[$fot(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)))]]) ).

cnf(refute_0_7349,plain,
    ( product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) != product(product(bigC(c,b,product(c,b)),c),B)
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D))
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D))) ),[1,0],$fot(product(product(bigC(c,b,product(c,b)),c),B))]]) ).

cnf(refute_0_7350,plain,
    ( product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B) != product(product(bigC(c,b,product(c,b)),c),B)
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D))) )],[refute_0_7348,refute_0_7349]) ).

cnf(refute_0_7351,plain,
    product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(bigC(c,b,product(c,b)),c),B)) )],[refute_0_7347,refute_0_7350]) ).

cnf(refute_0_7352,plain,
    ( product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D))
    | product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))
    | product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))) ),[0],$fot(product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)))]]) ).

cnf(refute_0_7353,plain,
    ( product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))
    | product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D))) )],[refute_0_7351,refute_0_7352]) ).

cnf(refute_0_7354,plain,
    product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(product(bigC(c,a,c),b),product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))) )],[refute_0_7339,refute_0_7353]) ).

cnf(refute_0_7355,plain,
    product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) = product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)))]]) ).

cnf(refute_0_7356,plain,
    ( product(product(c,product(c,bigC(c,a,c))),b) != product(product(c,product(c,bigC(a,a,b))),b)
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) != product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))) ),[1,0],$fot(product(product(c,product(c,bigC(a,a,b))),b))]]) ).

cnf(refute_0_7357,plain,
    ( product(product(c,product(c,bigC(c,a,c))),b) != product(product(c,product(c,bigC(a,a,b))),b)
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))) )],[refute_0_7355,refute_0_7356]) ).

cnf(refute_0_7358,plain,
    product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(c,a,c))),b),product(product(c,product(c,bigC(a,a,b))),b)) )],[refute_0_7293,refute_0_7357]) ).

cnf(refute_0_7359,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))
    | product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)) != product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D))
    | product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D))) ),[0],$fot(product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)))]]) ).

cnf(refute_0_7360,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) != product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))
    | product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D)),product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D))) )],[refute_0_7358,refute_0_7359]) ).

cnf(refute_0_7361,plain,
    product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)) = product(product(product(c,product(c,bigC(a,a,b))),b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),c),B),product(product(product(c,b),b),D)),product(product(product(c,product(c,bigC(c,a,c))),b),product(B,D))) )],[refute_0_7354,refute_0_7360]) ).

cnf(refute_0_7362,plain,
    product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_7361:[bind(B,$fot(product(c,b))),bind(D,$fot(product(product(c,b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7363,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))))),bind(Y,$fot(product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7364,plain,
    ( product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7362,refute_0_7363]) ).

cnf(refute_0_7365,plain,
    product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(a,a,b))),b),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7323,refute_0_7364]) ).

cnf(refute_0_7366,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,b))),bind(D,$fot(product(product(c,b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7367,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))) != difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))),product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))) ),[1,1],$fot(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))]]) ).

cnf(refute_0_7368,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) )],[refute_0_7302,refute_0_7367]) ).

cnf(refute_0_7369,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) = product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))),product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7366,refute_0_7368]) ).

cnf(refute_0_7370,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) != product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))
    | product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))))),bind(Y,$fot(product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))))]]) ).

cnf(refute_0_7371,plain,
    product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,b,product(c,b))))),product(product(A,C),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))) )],[refute_0_7369,refute_0_7370]) ).

cnf(refute_0_7372,plain,
    product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_7371:[bind(A,$fot(product(bigC(c,b,product(c,b)),c))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7373,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))))),bind(Y,$fot(product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7374,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7372,refute_0_7373]) ).

cnf(refute_0_7375,plain,
    product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),c),product(c,b)),product(product(product(c,b),b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7365,refute_0_7374]) ).

cnf(refute_0_7376,plain,
    product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(bigC(c,b,product(c,b)))),bind(B,$fot(product(c,b))),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_44,$fot(difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))))]]) ).

cnf(refute_0_7377,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))))),bind(Y,$fot(product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))))),bind(Z,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7378,plain,
    ( product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b)))) )],[refute_0_7376,refute_0_7377]) ).

cnf(refute_0_7379,plain,
    product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),c),product(product(c,b),b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7375,refute_0_7378]) ).

cnf(refute_0_7380,plain,
    ( product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))))),bind(Y,$fot(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7381,plain,
    ( product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))) != product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b)))))) )],[refute_0_7379,refute_0_7380]) ).

cnf(refute_0_7382,plain,
    product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) = product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,bigC(a,a,b)),b),product(product(c,b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7314,refute_0_7381]) ).

cnf(refute_0_7383,plain,
    ( product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(c,b)
    | product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(c,b)) ),[0],$fot(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7384,plain,
    ( product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))) != product(c,b)
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7382,refute_0_7383]) ).

cnf(refute_0_7385,plain,
    product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,product(c,b)),product(c,b)),product(c,b)),difference(product(product(c,product(c,bigC(a,a,b))),b),product(c,b))),product(c,b)) )],[refute_0_7305,refute_0_7384]) ).

cnf(refute_0_7386,plain,
    ( difference(product(c,b),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | difference(product(c,b),product(c,b)) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_7387,plain,
    ( difference(product(c,b),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | difference(product(c,b),product(c,b)) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_7386]) ).

cnf(refute_0_7388,plain,
    difference(product(c,b),product(c,b)) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7155,refute_0_7387]) ).

cnf(refute_0_7389,plain,
    difference(product(c,b),product(c,b)) = product(c,b),
    inference(subst,[],[refute_0_1928:[bind(X_2,$fot(product(c,b)))]]) ).

cnf(refute_0_7390,plain,
    ( difference(product(c,b),product(c,b)) != product(c,b)
    | difference(product(c,b),product(c,b)) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(c,b) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(c,b)),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_7391,plain,
    ( difference(product(c,b),product(c,b)) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(c,b) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,b)),product(c,b)) )],[refute_0_7389,refute_0_7390]) ).

cnf(refute_0_7392,plain,
    product(c,b) = product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,b)),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7388,refute_0_7391]) ).

cnf(refute_0_7393,plain,
    ( product(c,b) != product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7394,plain,
    product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7392,refute_0_7393]) ).

cnf(refute_0_7395,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))
    | product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(c,b)
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_7396,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)) )],[refute_0_7394,refute_0_7395]) ).

cnf(refute_0_7397,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(c,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) )],[refute_0_7154,refute_0_7396]) ).

cnf(refute_0_7398,plain,
    difference(product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7399,plain,
    ( difference(product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))) ),[0,0,0],$fot(product(c,b))]]) ).

cnf(refute_0_7400,plain,
    ( difference(product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_7399]) ).

cnf(refute_0_7401,plain,
    difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))) )],[refute_0_7398,refute_0_7400]) ).

cnf(refute_0_7402,plain,
    difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7403,plain,
    difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7404,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_7405,plain,
    ( product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7403,refute_0_7404]) ).

cnf(refute_0_7406,plain,
    difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_7405]) ).

cnf(refute_0_7407,plain,
    ( difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))),bind(Y,$fot(difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))),bind(Z,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7408,plain,
    ( difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7406,refute_0_7407]) ).

cnf(refute_0_7409,plain,
    difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7402,refute_0_7408]) ).

cnf(refute_0_7410,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))) ),[0],$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7411,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7409,refute_0_7410]) ).

cnf(refute_0_7412,plain,
    product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(X_23,$fot(product(c,b))),bind(X_24,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(X_25,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7413,plain,
    product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) = product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))),
    inference(subst,[],[refute_0_806:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(c,b))),bind(X_25,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(X_26,$fot(product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b)))]]) ).

cnf(refute_0_7414,plain,
    ( product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) != product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b)))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))))),bind(Y,$fot(product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))))),bind(Z,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7415,plain,
    ( product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))),product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b)))) )],[refute_0_7413,refute_0_7414]) ).

cnf(refute_0_7416,plain,
    product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7412,refute_0_7415]) ).

cnf(refute_0_7417,plain,
    product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) = product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(product(c,b))),bind(B,$fot(c)),bind(C,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(D,$fot(b)),bind(X_65,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7418,plain,
    ( product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b)))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))))),bind(Y,$fot(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))))),bind(Z,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7419,plain,
    ( product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b)))) )],[refute_0_7417,refute_0_7418]) ).

cnf(refute_0_7420,plain,
    product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),c),product(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7416,refute_0_7419]) ).

cnf(refute_0_7421,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) ),[0],$fot(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))))]]) ).

cnf(refute_0_7422,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7420,refute_0_7421]) ).

cnf(refute_0_7423,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))) )],[refute_0_7411,refute_0_7422]) ).

cnf(refute_0_7424,plain,
    product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)))) )],[refute_0_7401,refute_0_7423]) ).

cnf(refute_0_7425,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(product(c,b),X_25),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,b))),bind(X_26,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7426,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(product(c,b),X_25),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(product(c,b),X_25),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(product(c,b),X_25),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7427,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(product(c,b),X_25),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(product(c,b),X_25),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_7426]) ).

cnf(refute_0_7428,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(product(c,b),X_25),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(product(c,b),X_25),product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))) )],[refute_0_7425,refute_0_7427]) ).

cnf(refute_0_7429,plain,
    product(bigC(b,a,b),product(X_25,b)) = bigC(b,product(a,b),X_25),
    inference(subst,[],[refute_0_1140:[bind(X_17,$fot(b)),bind(X_19,$fot(X_25)),bind(X_60,$fot(a))]]) ).

cnf(refute_0_7430,plain,
    product(bigC(c,b,c),product(X_25,b)) = product(bigC(c,b,c),product(X_25,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(X_25,b)))]]) ).

cnf(refute_0_7431,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(X_25,b)) != product(bigC(c,b,c),product(X_25,b))
    | product(bigC(c,b,c),product(X_25,b)) = product(bigC(b,a,b),product(X_25,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(X_25,b)),product(bigC(c,b,c),product(X_25,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7432,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(X_25,b)) = product(bigC(b,a,b),product(X_25,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(X_25,b)),product(bigC(c,b,c),product(X_25,b))) )],[refute_0_7430,refute_0_7431]) ).

cnf(refute_0_7433,plain,
    product(bigC(c,b,c),product(X_25,b)) = product(bigC(b,a,b),product(X_25,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_7432]) ).

cnf(refute_0_7434,plain,
    ( product(bigC(b,a,b),product(X_25,b)) != bigC(b,product(a,b),X_25)
    | product(bigC(c,b,c),product(X_25,b)) != product(bigC(b,a,b),product(X_25,b))
    | product(bigC(c,b,c),product(X_25,b)) = bigC(b,product(a,b),X_25) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,b,c),product(X_25,b)))),bind(Y,$fot(product(bigC(b,a,b),product(X_25,b)))),bind(Z,$fot(bigC(b,product(a,b),X_25)))]]) ).

cnf(refute_0_7435,plain,
    ( product(bigC(b,a,b),product(X_25,b)) != bigC(b,product(a,b),X_25)
    | product(bigC(c,b,c),product(X_25,b)) = bigC(b,product(a,b),X_25) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(X_25,b)),product(bigC(b,a,b),product(X_25,b))) )],[refute_0_7433,refute_0_7434]) ).

cnf(refute_0_7436,plain,
    product(bigC(c,b,c),product(X_25,b)) = bigC(b,product(a,b),X_25),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_25,b)),bigC(b,product(a,b),X_25)) )],[refute_0_7429,refute_0_7435]) ).

cnf(refute_0_7437,plain,
    product(product(product(c,b),X_25),product(c,b)) = product(bigC(c,b,c),product(X_25,b)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(b)),bind(X_24,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7438,plain,
    ( product(bigC(c,b,c),product(X_25,b)) != bigC(b,product(a,b),X_25)
    | product(product(product(c,b),X_25),product(c,b)) != product(bigC(c,b,c),product(X_25,b))
    | product(product(product(c,b),X_25),product(c,b)) = bigC(b,product(a,b),X_25) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),X_25),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(X_25,b)))),bind(Z,$fot(bigC(b,product(a,b),X_25)))]]) ).

cnf(refute_0_7439,plain,
    ( product(bigC(c,b,c),product(X_25,b)) != bigC(b,product(a,b),X_25)
    | product(product(product(c,b),X_25),product(c,b)) = bigC(b,product(a,b),X_25) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_25),product(c,b)),product(bigC(c,b,c),product(X_25,b))) )],[refute_0_7437,refute_0_7438]) ).

cnf(refute_0_7440,plain,
    product(product(product(c,b),X_25),product(c,b)) = bigC(b,product(a,b),X_25),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(X_25,b)),bigC(b,product(a,b),X_25)) )],[refute_0_7436,refute_0_7439]) ).

cnf(refute_0_7441,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(product(c,b),X_25),product(c,b))
    | product(product(product(c,b),X_25),product(c,b)) != bigC(b,product(a,b),X_25)
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = bigC(b,product(a,b),X_25) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bigC(b,product(a,b),X_25)) ),[0],$fot(product(product(product(c,b),X_25),product(c,b)))]]) ).

cnf(refute_0_7442,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(product(c,b),X_25),product(c,b))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = bigC(b,product(a,b),X_25) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_25),product(c,b)),bigC(b,product(a,b),X_25)) )],[refute_0_7440,refute_0_7441]) ).

cnf(refute_0_7443,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = bigC(b,product(a,b),X_25),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(product(c,b),X_25),product(c,b))) )],[refute_0_7428,refute_0_7442]) ).

cnf(refute_0_7444,plain,
    product(product(c,b),product(X_25,product(c,b))) = product(product(c,X_25),bigC(b,b,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(X_25)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_7445,plain,
    product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7446,plain,
    ( product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(c,b)
    | product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(X_25,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7447,plain,
    ( product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(c,b)
    | product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(X_25,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7445,refute_0_7446]) ).

cnf(refute_0_7448,plain,
    product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = product(X_25,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)) )],[refute_0_7394,refute_0_7447]) ).

cnf(refute_0_7449,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))))]]) ).

cnf(refute_0_7450,plain,
    ( product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(X_25,product(c,b))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,b),product(X_25,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))) ),[1,1],$fot(product(X_25,product(c,b)))]]) ).

cnf(refute_0_7451,plain,
    ( product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(X_25,product(c,b))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,b),product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))) )],[refute_0_7449,refute_0_7450]) ).

cnf(refute_0_7452,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,b),product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(X_25,product(c,b))) )],[refute_0_7448,refute_0_7451]) ).

cnf(refute_0_7453,plain,
    ( product(product(c,b),product(X_25,product(c,b))) != product(product(c,X_25),bigC(b,b,c))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(c,b),product(X_25,product(c,b)))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,X_25),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))))),bind(Y,$fot(product(product(c,b),product(X_25,product(c,b))))),bind(Z,$fot(product(product(c,X_25),bigC(b,b,c))))]]) ).

cnf(refute_0_7454,plain,
    ( product(product(c,b),product(X_25,product(c,b))) != product(product(c,X_25),bigC(b,b,c))
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,X_25),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,b),product(X_25,product(c,b)))) )],[refute_0_7452,refute_0_7453]) ).

cnf(refute_0_7455,plain,
    product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) = product(product(c,X_25),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(c,b))),product(product(c,X_25),bigC(b,b,c))) )],[refute_0_7444,refute_0_7454]) ).

cnf(refute_0_7456,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != bigC(b,product(a,b),X_25)
    | product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != product(product(c,X_25),bigC(b,b,c))
    | product(product(c,X_25),bigC(b,b,c)) = bigC(b,product(a,b),X_25) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bigC(b,product(a,b),X_25)) ),[0],$fot(product(product(c,X_25),bigC(b,b,c)))]]) ).

cnf(refute_0_7457,plain,
    ( product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) != bigC(b,product(a,b),X_25)
    | product(product(c,X_25),bigC(b,b,c)) = bigC(b,product(a,b),X_25) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),product(product(c,X_25),bigC(b,b,c))) )],[refute_0_7455,refute_0_7456]) ).

cnf(refute_0_7458,plain,
    product(product(c,X_25),bigC(b,b,c)) = bigC(b,product(a,b),X_25),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bigC(b,product(a,b),X_25)) )],[refute_0_7443,refute_0_7457]) ).

cnf(refute_0_7459,plain,
    product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7460,plain,
    bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_7461,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c))
    | product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bind(Y,$fot(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)))),bind(Z,$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7462,plain,
    ( product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c))) )],[refute_0_7460,refute_0_7461]) ).

cnf(refute_0_7463,plain,
    bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7459,refute_0_7462]) ).

cnf(refute_0_7464,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,b))),bind(C,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7465,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)))),bind(Y,$fot(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bind(Z,$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7466,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7464,refute_0_7465]) ).

cnf(refute_0_7467,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7463,refute_0_7466]) ).

cnf(refute_0_7468,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7469,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(c,b)
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) ),[1,2],$fot(product(c,b))]]) ).

cnf(refute_0_7470,plain,
    ( product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(c,b)
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7468,refute_0_7469]) ).

cnf(refute_0_7471,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(c,b)) )],[refute_0_7394,refute_0_7470]) ).

cnf(refute_0_7472,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))),bind(Y,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)))),bind(Z,$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7473,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b))) )],[refute_0_7471,refute_0_7472]) ).

cnf(refute_0_7474,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7467,refute_0_7473]) ).

cnf(refute_0_7475,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) ),[1],$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7476,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7474,refute_0_7475]) ).

cnf(refute_0_7477,plain,
    product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))) )],[refute_0_7424,refute_0_7476]) ).

cnf(refute_0_7478,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bind(Y,$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_7479,plain,
    bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7477,refute_0_7478]) ).

cnf(refute_0_7480,plain,
    ( bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) != bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)))),bind(Y,$fot(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bind(Z,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7481,plain,
    ( bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)),bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7459,refute_0_7480]) ).

cnf(refute_0_7482,plain,
    product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7479,refute_0_7481]) ).

cnf(refute_0_7483,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c))
    | product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bind(Y,$fot(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)))),bind(Z,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7484,plain,
    ( product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c))) )],[refute_0_7460,refute_0_7483]) ).

cnf(refute_0_7485,plain,
    bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),bigC(b,b,c)),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7482,refute_0_7484]) ).

cnf(refute_0_7486,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)))),bind(Y,$fot(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))),bind(Z,$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))))]]) ).

cnf(refute_0_7487,plain,
    ( bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) )],[refute_0_7464,refute_0_7486]) ).

cnf(refute_0_7488,plain,
    bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) = product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7485,refute_0_7487]) ).

cnf(refute_0_7489,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))
    | bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(c,b),product(c,b))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),product(product(c,b),product(c,b))) ),[0],$fot(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_7490,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(c,b),product(c,b))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))) )],[refute_0_7488,refute_0_7489]) ).

cnf(refute_0_7491,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != product(product(c,b),product(c,b))
    | product(product(c,b),product(c,b)) != product(c,b)
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) ),[0],$fot(product(product(c,b),product(c,b)))]]) ).

cnf(refute_0_7492,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != product(product(c,b),product(c,b))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,b)),product(c,b)) )],[refute_0_108,refute_0_7491]) ).

cnf(refute_0_7493,plain,
    ( bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) != product(product(c,b),product(c,b))
    | product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(product(c,b),product(c,b))) )],[refute_0_7490,refute_0_7492]) ).

cnf(refute_0_7494,plain,
    product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)),product(product(c,b),product(c,b))) )],[refute_0_7397,refute_0_7493]) ).

cnf(refute_0_7495,plain,
    ( product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))) != product(c,b)
    | quotient(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(c,b,product(c,b))) != product(bigC(a,a,b),b)
    | quotient(product(c,b),bigC(c,b,product(c,b))) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(c,b,product(c,b))),product(bigC(a,a,b),b)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_7496,plain,
    ( quotient(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(c,b,product(c,b))) != product(bigC(a,a,b),b)
    | quotient(product(c,b),bigC(c,b,product(c,b))) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),product(c,b)) )],[refute_0_7494,refute_0_7495]) ).

cnf(refute_0_7497,plain,
    quotient(product(c,b),bigC(c,b,product(c,b))) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))),bigC(c,b,product(c,b))),product(bigC(a,a,b),b)) )],[refute_0_7153,refute_0_7496]) ).

cnf(refute_0_7498,plain,
    quotient(product(X_27,B),product(product(X_27,B),product(product(X_27,B),X_27))) = product(product(X_27,product(X_27,B)),product(X_27,B)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(X_27)),bind(X_16,$fot(product(X_27,B)))]]) ).

cnf(refute_0_7499,plain,
    bigC(X_27,B,product(X_27,B)) = product(product(X_27,B),product(product(X_27,B),X_27)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(X_27)),bind(C,$fot(product(X_27,B)))]]) ).

cnf(refute_0_7500,plain,
    ( bigC(X_27,B,product(X_27,B)) != product(product(X_27,B),product(product(X_27,B),X_27))
    | product(product(X_27,B),product(product(X_27,B),X_27)) = bigC(X_27,B,product(X_27,B)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_27,B,product(X_27,B)))),bind(Y,$fot(product(product(X_27,B),product(product(X_27,B),X_27))))]]) ).

cnf(refute_0_7501,plain,
    product(product(X_27,B),product(product(X_27,B),X_27)) = bigC(X_27,B,product(X_27,B)),
    inference(resolve,[$cnf( $equal(bigC(X_27,B,product(X_27,B)),product(product(X_27,B),product(product(X_27,B),X_27))) )],[refute_0_7499,refute_0_7500]) ).

cnf(refute_0_7502,plain,
    ( product(product(X_27,B),product(product(X_27,B),X_27)) != bigC(X_27,B,product(X_27,B))
    | quotient(product(X_27,B),product(product(X_27,B),product(product(X_27,B),X_27))) != product(product(X_27,product(X_27,B)),product(X_27,B))
    | quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(product(X_27,product(X_27,B)),product(X_27,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_27,B),product(product(X_27,B),product(product(X_27,B),X_27))),product(product(X_27,product(X_27,B)),product(X_27,B))) ),[0,1],$fot(bigC(X_27,B,product(X_27,B)))]]) ).

cnf(refute_0_7503,plain,
    ( quotient(product(X_27,B),product(product(X_27,B),product(product(X_27,B),X_27))) != product(product(X_27,product(X_27,B)),product(X_27,B))
    | quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(product(X_27,product(X_27,B)),product(X_27,B)) ),
    inference(resolve,[$cnf( $equal(product(product(X_27,B),product(product(X_27,B),X_27)),bigC(X_27,B,product(X_27,B))) )],[refute_0_7501,refute_0_7502]) ).

cnf(refute_0_7504,plain,
    quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(product(X_27,product(X_27,B)),product(X_27,B)),
    inference(resolve,[$cnf( $equal(quotient(product(X_27,B),product(product(X_27,B),product(product(X_27,B),X_27))),product(product(X_27,product(X_27,B)),product(X_27,B))) )],[refute_0_7498,refute_0_7503]) ).

cnf(refute_0_7505,plain,
    product(product(X_27,product(X_27,B)),product(X_27,B)) = product(X_27,product(product(X_27,B),B)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_27)),bind(X_25,$fot(product(X_27,B))),bind(X_26,$fot(B))]]) ).

cnf(refute_0_7506,plain,
    ( product(product(X_27,product(X_27,B)),product(X_27,B)) != product(X_27,product(product(X_27,B),B))
    | quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) != product(product(X_27,product(X_27,B)),product(X_27,B))
    | quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(X_27,product(product(X_27,B),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))),product(product(X_27,product(X_27,B)),product(X_27,B))) ),[1],$fot(product(X_27,product(product(X_27,B),B)))]]) ).

cnf(refute_0_7507,plain,
    ( quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) != product(product(X_27,product(X_27,B)),product(X_27,B))
    | quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(X_27,product(product(X_27,B),B)) ),
    inference(resolve,[$cnf( $equal(product(product(X_27,product(X_27,B)),product(X_27,B)),product(X_27,product(product(X_27,B),B))) )],[refute_0_7505,refute_0_7506]) ).

cnf(refute_0_7508,plain,
    quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))) = product(X_27,product(product(X_27,B),B)),
    inference(resolve,[$cnf( $equal(quotient(product(X_27,B),bigC(X_27,B,product(X_27,B))),product(product(X_27,product(X_27,B)),product(X_27,B))) )],[refute_0_7504,refute_0_7507]) ).

cnf(refute_0_7509,plain,
    quotient(product(c,b),bigC(c,b,product(c,b))) = product(c,product(product(c,b),b)),
    inference(subst,[],[refute_0_7508:[bind(B,$fot(b)),bind(X_27,$fot(c))]]) ).

cnf(refute_0_7510,plain,
    ( quotient(product(c,b),bigC(c,b,product(c,b))) != product(bigC(a,a,b),b)
    | quotient(product(c,b),bigC(c,b,product(c,b))) != product(c,product(product(c,b),b))
    | product(c,product(product(c,b),b)) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,b,product(c,b))),product(bigC(a,a,b),b)) ),[0],$fot(product(c,product(product(c,b),b)))]]) ).

cnf(refute_0_7511,plain,
    ( quotient(product(c,b),bigC(c,b,product(c,b))) != product(bigC(a,a,b),b)
    | product(c,product(product(c,b),b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,product(c,b))),product(c,product(product(c,b),b))) )],[refute_0_7509,refute_0_7510]) ).

cnf(refute_0_7512,plain,
    product(c,product(product(c,b),b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,product(c,b))),product(bigC(a,a,b),b)) )],[refute_0_7497,refute_0_7511]) ).

cnf(refute_0_7513,plain,
    ( product(c,product(product(c,b),b)) != product(bigC(a,a,b),b)
    | product(c,product(product(c,b),b)) != product(product(c,product(c,b)),product(c,b))
    | product(bigC(a,a,b),b) = product(product(c,product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,b),b)),product(product(c,product(c,b)),product(c,b))) ),[0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7514,plain,
    ( product(c,product(product(c,b),b)) != product(product(c,product(c,b)),product(c,b))
    | product(bigC(a,a,b),b) = product(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(bigC(a,a,b),b)) )],[refute_0_7512,refute_0_7513]) ).

cnf(refute_0_7515,plain,
    product(bigC(a,a,b),b) = product(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(product(c,product(c,b)),product(c,b))) )],[refute_0_7152,refute_0_7514]) ).

cnf(refute_0_7516,plain,
    product(product(a,b),product(c,product(b,c))) = product(product(a,b),product(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(c,product(b,c))))]]) ).

cnf(refute_0_7517,plain,
    ( product(c,product(b,c)) != bigC(b,a,b)
    | product(product(a,b),product(c,product(b,c))) != product(product(a,b),product(c,product(b,c)))
    | product(product(a,b),product(c,product(b,c))) = product(product(a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(c,product(b,c))),product(product(a,b),product(c,product(b,c)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7518,plain,
    ( product(c,product(b,c)) != bigC(b,a,b)
    | product(product(a,b),product(c,product(b,c))) = product(product(a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(b,c))),product(product(a,b),product(c,product(b,c)))) )],[refute_0_7516,refute_0_7517]) ).

cnf(refute_0_7519,plain,
    product(product(a,b),product(c,product(b,c))) = product(product(a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(b,a,b)) )],[refute_0_2540,refute_0_7518]) ).

cnf(refute_0_7520,plain,
    product(product(c,product(c,b)),product(c,b)) = product(product(a,b),product(c,product(b,c))),
    inference(subst,[],[refute_0_6873:[bind(X_66,$fot(c))]]) ).

cnf(refute_0_7521,plain,
    ( product(product(a,b),product(c,product(b,c))) != product(product(a,b),bigC(b,a,b))
    | product(product(c,product(c,b)),product(c,b)) != product(product(a,b),product(c,product(b,c)))
    | product(product(c,product(c,b)),product(c,b)) = product(product(a,b),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(c,b)))),bind(Y,$fot(product(product(a,b),product(c,product(b,c))))),bind(Z,$fot(product(product(a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7522,plain,
    ( product(product(a,b),product(c,product(b,c))) != product(product(a,b),bigC(b,a,b))
    | product(product(c,product(c,b)),product(c,b)) = product(product(a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(product(a,b),product(c,product(b,c)))) )],[refute_0_7520,refute_0_7521]) ).

cnf(refute_0_7523,plain,
    product(product(c,product(c,b)),product(c,b)) = product(product(a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(b,c))),product(product(a,b),bigC(b,a,b))) )],[refute_0_7519,refute_0_7522]) ).

cnf(refute_0_7524,plain,
    ( product(bigC(a,a,b),b) != product(product(c,product(c,b)),product(c,b))
    | product(product(c,product(c,b)),product(c,b)) != product(product(a,b),bigC(b,a,b))
    | product(bigC(a,a,b),b) = product(product(a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),b),product(product(a,b),bigC(b,a,b))) ),[0],$fot(product(product(c,product(c,b)),product(c,b)))]]) ).

cnf(refute_0_7525,plain,
    ( product(bigC(a,a,b),b) != product(product(c,product(c,b)),product(c,b))
    | product(bigC(a,a,b),b) = product(product(a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(product(a,b),bigC(b,a,b))) )],[refute_0_7523,refute_0_7524]) ).

cnf(refute_0_7526,plain,
    product(bigC(a,a,b),b) = product(product(a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),b),product(product(c,product(c,b)),product(c,b))) )],[refute_0_7515,refute_0_7525]) ).

cnf(refute_0_7527,plain,
    ( product(bigC(a,a,b),b) != product(product(a,b),bigC(b,a,b))
    | product(product(a,b),bigC(b,a,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,b),b))),bind(Y,$fot(product(product(a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7528,plain,
    product(product(a,b),bigC(b,a,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),b),product(product(a,b),bigC(b,a,b))) )],[refute_0_7526,refute_0_7527]) ).

cnf(refute_0_7529,plain,
    quotient(product(bigC(c,b,c),product(a,b)),product(a,b)) = bigC(c,b,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(c,b,c))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_7530,plain,
    ( product(bigC(c,b,c),product(a,b)) != product(product(c,a),bigC(b,b,c))
    | quotient(product(bigC(c,b,c),product(a,b)),product(a,b)) != bigC(c,b,c)
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,c),product(a,b)),product(a,b)),bigC(c,b,c)) ),[0,0],$fot(product(product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_7531,plain,
    ( quotient(product(bigC(c,b,c),product(a,b)),product(a,b)) != bigC(c,b,c)
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,b)),product(product(c,a),bigC(b,b,c))) )],[refute_0_1129,refute_0_7530]) ).

cnf(refute_0_7532,plain,
    quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,c),product(a,b)),product(a,b)),bigC(c,b,c)) )],[refute_0_7529,refute_0_7531]) ).

cnf(refute_0_7533,plain,
    quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)))]]) ).

cnf(refute_0_7534,plain,
    ( product(product(c,a),bigC(b,b,c)) != bigC(b,a,product(a,b))
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) != quotient(product(product(c,a),bigC(b,b,c)),product(a,b))
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = quotient(bigC(b,a,product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),quotient(product(product(c,a),bigC(b,b,c)),product(a,b))) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_7535,plain,
    ( product(product(c,a),bigC(b,b,c)) != bigC(b,a,product(a,b))
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = quotient(bigC(b,a,product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),quotient(product(product(c,a),bigC(b,b,c)),product(a,b))) )],[refute_0_7533,refute_0_7534]) ).

cnf(refute_0_7536,plain,
    quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) = quotient(bigC(b,a,product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),bigC(b,a,product(a,b))) )],[refute_0_1380,refute_0_7535]) ).

cnf(refute_0_7537,plain,
    ( quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) != bigC(c,b,c)
    | quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) != quotient(bigC(b,a,product(a,b)),product(a,b))
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),bigC(c,b,c)) ),[0],$fot(quotient(bigC(b,a,product(a,b)),product(a,b)))]]) ).

cnf(refute_0_7538,plain,
    ( quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) != bigC(c,b,c)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),quotient(bigC(b,a,product(a,b)),product(a,b))) )],[refute_0_7536,refute_0_7537]) ).

cnf(refute_0_7539,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) != bigC(c,b,c)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),bigC(c,b,c)) ),[1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7540,plain,
    ( quotient(bigC(b,a,product(a,b)),product(a,b)) != bigC(c,b,c)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_7539]) ).

cnf(refute_0_7541,plain,
    ( quotient(product(product(c,a),bigC(b,b,c)),product(a,b)) != bigC(c,b,c)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),bigC(c,b,c)) )],[refute_0_7538,refute_0_7540]) ).

cnf(refute_0_7542,plain,
    quotient(bigC(b,a,product(a,b)),product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),bigC(b,b,c)),product(a,b)),bigC(c,b,c)) )],[refute_0_7532,refute_0_7541]) ).

cnf(refute_0_7543,plain,
    quotient(bigC(b,a,product(a,b)),product(a,b)) = quotient(bigC(b,a,product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,a,product(a,b)),product(a,b)))]]) ).

cnf(refute_0_7544,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(b,a,product(a,b)),product(a,b)) != quotient(bigC(b,a,product(a,b)),product(a,b))
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = quotient(bigC(a,b,product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),quotient(bigC(b,a,product(a,b)),product(a,b))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_7545,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(b,a,product(a,b)),product(a,b)) = quotient(bigC(a,b,product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),quotient(bigC(b,a,product(a,b)),product(a,b))) )],[refute_0_7543,refute_0_7544]) ).

cnf(refute_0_7546,plain,
    quotient(bigC(b,a,product(a,b)),product(a,b)) = quotient(bigC(a,b,product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_7545]) ).

cnf(refute_0_7547,plain,
    ( quotient(bigC(b,a,product(a,b)),product(a,b)) != bigC(b,a,b)
    | quotient(bigC(b,a,product(a,b)),product(a,b)) != quotient(bigC(a,b,product(a,b)),product(a,b))
    | quotient(bigC(a,b,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),bigC(b,a,b)) ),[0],$fot(quotient(bigC(a,b,product(a,b)),product(a,b)))]]) ).

cnf(refute_0_7548,plain,
    ( quotient(bigC(b,a,product(a,b)),product(a,b)) != bigC(b,a,b)
    | quotient(bigC(a,b,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),quotient(bigC(a,b,product(a,b)),product(a,b))) )],[refute_0_7546,refute_0_7547]) ).

cnf(refute_0_7549,plain,
    quotient(bigC(a,b,product(a,b)),product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,product(a,b)),product(a,b)),bigC(b,a,b)) )],[refute_0_7542,refute_0_7548]) ).

cnf(refute_0_7550,plain,
    product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))))]]) ).

cnf(refute_0_7551,plain,
    ( product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) != product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))
    | quotient(bigC(a,b,product(a,b)),product(a,b)) != bigC(b,a,b)
    | product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(product(a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7552,plain,
    ( quotient(bigC(a,b,product(a,b)),product(a,b)) != bigC(b,a,b)
    | product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(product(a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) )],[refute_0_7550,refute_0_7551]) ).

cnf(refute_0_7553,plain,
    product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(product(a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(a,b)),bigC(b,a,b)) )],[refute_0_7549,refute_0_7552]) ).

cnf(refute_0_7554,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) != product(product(a,b),bigC(b,a,b))
    | product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))))),bind(Y,$fot(product(product(a,b),bigC(b,a,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_7555,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(product(a,b),bigC(b,a,b))) )],[refute_0_7553,refute_0_7554]) ).

cnf(refute_0_7556,plain,
    product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,b)),product(bigC(a,a,b),b)) )],[refute_0_7528,refute_0_7555]) ).

cnf(refute_0_7557,plain,
    ( product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) != product(bigC(a,a,b),b)
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) != product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) ),[1],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7558,plain,
    ( quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) != product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(bigC(a,a,b),b)) )],[refute_0_7556,refute_0_7557]) ).

cnf(refute_0_7559,plain,
    quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b)))) )],[refute_0_7151,refute_0_7558]) ).

cnf(refute_0_7560,plain,
    ( product(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(a,b)) != product(c,product(product(a,b),bigC(b,b,c)))
    | quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)) != product(bigC(a,a,b),b)
    | product(product(bigC(a,a,b),b),product(a,b)) = product(c,product(product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(a,b)),product(c,product(product(a,b),bigC(b,b,c)))) ),[0,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7561,plain,
    ( product(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(a,b)) != product(c,product(product(a,b),bigC(b,b,c)))
    | product(product(bigC(a,a,b),b),product(a,b)) = product(c,product(product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(bigC(a,a,b),b)) )],[refute_0_7559,refute_0_7560]) ).

cnf(refute_0_7562,plain,
    product(product(bigC(a,a,b),b),product(a,b)) = product(c,product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,product(product(a,b),bigC(b,b,c))),product(a,b)),product(a,b)),product(c,product(product(a,b),bigC(b,b,c)))) )],[refute_0_6381,refute_0_7561]) ).

cnf(refute_0_7563,plain,
    product(product(bigC(a,a,b),b),product(a,b)) = product(product(bigC(a,a,b),a),b),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(bigC(a,a,b))),bind(X_24,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7564,plain,
    ( product(product(bigC(a,a,b),b),product(a,b)) != product(c,product(product(a,b),bigC(b,b,c)))
    | product(product(bigC(a,a,b),b),product(a,b)) != product(product(bigC(a,a,b),a),b)
    | product(product(bigC(a,a,b),a),b) = product(c,product(product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),b),product(a,b)),product(c,product(product(a,b),bigC(b,b,c)))) ),[0],$fot(product(product(bigC(a,a,b),a),b))]]) ).

cnf(refute_0_7565,plain,
    ( product(product(bigC(a,a,b),b),product(a,b)) != product(c,product(product(a,b),bigC(b,b,c)))
    | product(product(bigC(a,a,b),a),b) = product(c,product(product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(a,b)),product(product(bigC(a,a,b),a),b)) )],[refute_0_7563,refute_0_7564]) ).

cnf(refute_0_7566,plain,
    product(product(bigC(a,a,b),a),b) = product(c,product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(a,b)),product(c,product(product(a,b),bigC(b,b,c)))) )],[refute_0_7562,refute_0_7565]) ).

cnf(refute_0_7567,plain,
    ( product(product(bigC(a,a,b),a),b) != product(c,product(product(a,b),bigC(b,b,c)))
    | product(c,product(product(a,b),bigC(b,b,c))) = product(product(bigC(a,a,b),a),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(bigC(a,a,b),a),b))),bind(Y,$fot(product(c,product(product(a,b),bigC(b,b,c)))))]]) ).

cnf(refute_0_7568,plain,
    product(c,product(product(a,b),bigC(b,b,c))) = product(product(bigC(a,a,b),a),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),a),b),product(c,product(product(a,b),bigC(b,b,c)))) )],[refute_0_7566,refute_0_7567]) ).

cnf(refute_0_7569,plain,
    ( product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) != product(product(c,X_25),product(c,product(product(a,b),bigC(b,b,c))))
    | product(c,product(product(a,b),bigC(b,b,c))) != product(product(bigC(a,a,b),a),b)
    | product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) = product(product(c,X_25),product(product(bigC(a,a,b),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(product(a,b),bigC(b,b,c)))),product(product(c,X_25),product(c,product(product(a,b),bigC(b,b,c))))) ),[1,1],$fot(product(product(bigC(a,a,b),a),b))]]) ).

cnf(refute_0_7570,plain,
    ( product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) != product(product(c,X_25),product(c,product(product(a,b),bigC(b,b,c))))
    | product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) = product(product(c,X_25),product(product(bigC(a,a,b),a),b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),bigC(b,b,c))),product(product(bigC(a,a,b),a),b)) )],[refute_0_7568,refute_0_7569]) ).

cnf(refute_0_7571,plain,
    product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) = product(product(c,X_25),product(product(bigC(a,a,b),a),b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(product(a,b),bigC(b,b,c)))),product(product(c,X_25),product(c,product(product(a,b),bigC(b,b,c))))) )],[refute_0_6380,refute_0_7570]) ).

cnf(refute_0_7572,plain,
    ( product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) != product(product(c,X_25),product(product(bigC(a,a,b),a),b))
    | product(product(c,X_25),product(product(bigC(a,a,b),a),b)) = product(c,product(X_25,product(product(a,b),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(X_25,product(product(a,b),bigC(b,b,c)))))),bind(Y,$fot(product(product(c,X_25),product(product(bigC(a,a,b),a),b))))]]) ).

cnf(refute_0_7573,plain,
    product(product(c,X_25),product(product(bigC(a,a,b),a),b)) = product(c,product(X_25,product(product(a,b),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(product(a,b),bigC(b,b,c)))),product(product(c,X_25),product(product(bigC(a,a,b),a),b))) )],[refute_0_7571,refute_0_7572]) ).

cnf(refute_0_7574,plain,
    product(product(c,a),product(product(bigC(a,a,b),a),b)) = product(c,product(a,product(product(a,b),bigC(b,b,c)))),
    inference(subst,[],[refute_0_7573:[bind(X_25,$fot(a))]]) ).

cnf(refute_0_7575,plain,
    ( product(c,product(a,product(product(a,b),bigC(b,b,c)))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(product(c,a),product(product(bigC(a,a,b),a),b)) != product(c,product(a,product(product(a,b),bigC(b,b,c))))
    | product(product(c,a),product(product(bigC(a,a,b),a),b)) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(bigC(a,a,b),a),b)))),bind(Y,$fot(product(c,product(a,product(product(a,b),bigC(b,b,c)))))),bind(Z,$fot(product(c,product(a,product(product(a,product(b,c)),b)))))]]) ).

cnf(refute_0_7576,plain,
    ( product(c,product(a,product(product(a,b),bigC(b,b,c)))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(product(c,a),product(product(bigC(a,a,b),a),b)) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(a,a,b),a),b)),product(c,product(a,product(product(a,b),bigC(b,b,c))))) )],[refute_0_7574,refute_0_7575]) ).

cnf(refute_0_7577,plain,
    product(product(c,a),product(product(bigC(a,a,b),a),b)) = product(c,product(a,product(product(a,product(b,c)),b))),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(product(a,b),bigC(b,b,c)))),product(c,product(a,product(product(a,product(b,c)),b)))) )],[refute_0_6379,refute_0_7576]) ).

cnf(refute_0_7578,plain,
    product(product(c,a),product(X_25,b)) = product(product(product(c,a),X_25),product(product(c,a),b)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,a))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7579,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,a),product(X_25,b)) != product(product(product(c,a),X_25),product(product(c,a),b))
    | product(product(c,a),product(X_25,b)) = product(product(product(c,a),X_25),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(product(product(c,a),X_25),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7580,plain,
    ( product(product(c,a),product(X_25,b)) != product(product(product(c,a),X_25),product(product(c,a),b))
    | product(product(c,a),product(X_25,b)) = product(product(product(c,a),X_25),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_7579]) ).

cnf(refute_0_7581,plain,
    product(product(c,a),product(X_25,b)) = product(product(product(c,a),X_25),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(product(product(c,a),X_25),product(product(c,a),b))) )],[refute_0_7578,refute_0_7580]) ).

cnf(refute_0_7582,plain,
    product(product(product(c,a),X_25),product(c,product(c,b))) = product(bigC(c,a,c),product(X_25,product(c,b))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(c)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_7583,plain,
    ( product(product(c,a),product(X_25,b)) != product(product(product(c,a),X_25),product(c,product(c,b)))
    | product(product(product(c,a),X_25),product(c,product(c,b))) != product(bigC(c,a,c),product(X_25,product(c,b)))
    | product(product(c,a),product(X_25,b)) = product(bigC(c,a,c),product(X_25,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,a),product(X_25,b)),product(bigC(c,a,c),product(X_25,product(c,b)))) ),[0],$fot(product(product(product(c,a),X_25),product(c,product(c,b))))]]) ).

cnf(refute_0_7584,plain,
    ( product(product(c,a),product(X_25,b)) != product(product(product(c,a),X_25),product(c,product(c,b)))
    | product(product(c,a),product(X_25,b)) = product(bigC(c,a,c),product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_25),product(c,product(c,b))),product(bigC(c,a,c),product(X_25,product(c,b)))) )],[refute_0_7582,refute_0_7583]) ).

cnf(refute_0_7585,plain,
    product(product(c,a),product(X_25,b)) = product(bigC(c,a,c),product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(product(product(c,a),X_25),product(c,product(c,b)))) )],[refute_0_7581,refute_0_7584]) ).

cnf(refute_0_7586,plain,
    product(bigC(c,a,c),product(X_25,product(c,b))) = product(bigC(c,a,c),product(X_25,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(X_25,product(c,b))))]]) ).

cnf(refute_0_7587,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_25,product(c,b))) != product(bigC(c,a,c),product(X_25,product(c,b)))
    | product(bigC(c,a,c),product(X_25,product(c,b))) = product(bigC(a,a,b),product(X_25,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_25,product(c,b))),product(bigC(c,a,c),product(X_25,product(c,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_7588,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_25,product(c,b))) = product(bigC(a,a,b),product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_25,product(c,b))),product(bigC(c,a,c),product(X_25,product(c,b)))) )],[refute_0_7586,refute_0_7587]) ).

cnf(refute_0_7589,plain,
    product(bigC(c,a,c),product(X_25,product(c,b))) = product(bigC(a,a,b),product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_7588]) ).

cnf(refute_0_7590,plain,
    ( product(bigC(c,a,c),product(X_25,product(c,b))) != product(bigC(a,a,b),product(X_25,product(c,b)))
    | product(product(c,a),product(X_25,b)) != product(bigC(c,a,c),product(X_25,product(c,b)))
    | product(product(c,a),product(X_25,b)) = product(bigC(a,a,b),product(X_25,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(bigC(c,a,c),product(X_25,product(c,b)))) ),[1],$fot(product(bigC(a,a,b),product(X_25,product(c,b))))]]) ).

cnf(refute_0_7591,plain,
    ( product(product(c,a),product(X_25,b)) != product(bigC(c,a,c),product(X_25,product(c,b)))
    | product(product(c,a),product(X_25,b)) = product(bigC(a,a,b),product(X_25,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_25,product(c,b))),product(bigC(a,a,b),product(X_25,product(c,b)))) )],[refute_0_7589,refute_0_7590]) ).

cnf(refute_0_7592,plain,
    product(product(c,a),product(X_25,b)) = product(bigC(a,a,b),product(X_25,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(bigC(c,a,c),product(X_25,product(c,b)))) )],[refute_0_7585,refute_0_7591]) ).

cnf(refute_0_7593,plain,
    ( product(product(c,a),product(X_25,b)) != product(bigC(a,a,b),product(X_25,product(c,b)))
    | product(bigC(a,a,b),product(X_25,product(c,b))) = product(product(c,a),product(X_25,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,a),product(X_25,b)))),bind(Y,$fot(product(bigC(a,a,b),product(X_25,product(c,b)))))]]) ).

cnf(refute_0_7594,plain,
    product(bigC(a,a,b),product(X_25,product(c,b))) = product(product(c,a),product(X_25,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,b)),product(bigC(a,a,b),product(X_25,product(c,b)))) )],[refute_0_7592,refute_0_7593]) ).

cnf(refute_0_7595,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) = product(product(c,a),product(product(bigC(a,a,b),a),b)),
    inference(subst,[],[refute_0_7594:[bind(X_25,$fot(product(bigC(a,a,b),a)))]]) ).

cnf(refute_0_7596,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) != product(product(c,a),product(product(bigC(a,a,b),a),b))
    | product(product(c,a),product(product(bigC(a,a,b),a),b)) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))))),bind(Y,$fot(product(product(c,a),product(product(bigC(a,a,b),a),b)))),bind(Z,$fot(product(c,product(a,product(product(a,product(b,c)),b)))))]]) ).

cnf(refute_0_7597,plain,
    ( product(product(c,a),product(product(bigC(a,a,b),a),b)) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))),product(product(c,a),product(product(bigC(a,a,b),a),b))) )],[refute_0_7595,refute_0_7596]) ).

cnf(refute_0_7598,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) = product(c,product(a,product(product(a,product(b,c)),b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(a,a,b),a),b)),product(c,product(a,product(product(a,product(b,c)),b)))) )],[refute_0_7577,refute_0_7597]) ).

cnf(refute_0_7599,plain,
    bigC(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(bigC(a,b,product(a,c)))),bind(X_22,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_7600,plain,
    quotient(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,a,c)) = product(bigC(a,a,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_250:[bind(B,$fot(bigC(a,a,c))),bind(X_22,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7601,plain,
    product(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_7602,plain,
    difference(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = bigC(a,a,c),
    inference(subst,[],[refute_0_500:[bind(B,$fot(bigC(a,a,c))),bind(X_41,$fot(product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_7603,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_7604,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)) )],[refute_0_103,refute_0_7603]) ).

cnf(refute_0_7605,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_6642,refute_0_7604]) ).

cnf(refute_0_7606,plain,
    product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_7607,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c))))
    | product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c))))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_7608,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_7606,refute_0_7607]) ).

cnf(refute_0_7609,plain,
    product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_407,refute_0_7608]) ).

cnf(refute_0_7610,plain,
    product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(product(product(a,c),b))),bind(X_26,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_7611,plain,
    ( product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) != product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))))),bind(Y,$fot(product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))))]]) ).

cnf(refute_0_7612,plain,
    ( product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))) != product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))
    | product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_7610,refute_0_7611]) ).

cnf(refute_0_7613,plain,
    product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,c),b),product(b,product(b,c)))),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_7609,refute_0_7612]) ).

cnf(refute_0_7614,plain,
    product(bigC(a,a,a),product(b,product(b,c))) = product(bigC(a,a,a),product(b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),product(b,product(b,c))))]]) ).

cnf(refute_0_7615,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(b,product(b,c))) != product(bigC(a,a,a),product(b,product(b,c)))
    | product(bigC(a,a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),product(b,product(b,c))),product(bigC(a,a,a),product(b,product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_7616,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(b,product(b,c))),product(bigC(a,a,a),product(b,product(b,c)))) )],[refute_0_7614,refute_0_7615]) ).

cnf(refute_0_7617,plain,
    product(bigC(a,a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_7616]) ).

cnf(refute_0_7618,plain,
    bigC(product(a,c),product(c,b),product(a,b)) = product(bigC(a,a,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_5132:[bind(A,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_7619,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != product(bigC(a,a,a),product(b,product(b,c)))
    | product(bigC(a,a,a),product(b,product(b,c))) != 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(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(c,b),product(a,b)))),bind(Y,$fot(product(bigC(a,a,a),product(b,product(b,c))))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_7620,plain,
    ( product(bigC(a,a,a),product(b,product(b,c))) != 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(bigC(product(a,c),product(c,b),product(a,b)),product(bigC(a,a,a),product(b,product(b,c)))) )],[refute_0_7618,refute_0_7619]) ).

cnf(refute_0_7621,plain,
    bigC(product(a,c),product(c,b),product(a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(b,product(b,c))),product(a,product(b,product(b,c)))) )],[refute_0_7617,refute_0_7620]) ).

cnf(refute_0_7622,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))))]]) ).

cnf(refute_0_7623,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,c),b)),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b)))
    | product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b)))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_7624,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,c),b)),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b)))) )],[refute_0_7622,refute_0_7623]) ).

cnf(refute_0_7625,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,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_7621,refute_0_7624]) ).

cnf(refute_0_7626,plain,
    product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,b),product(c,b)),
    inference(subst,[],[refute_0_1277:[bind(X_25,$fot(c)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7627,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),c),product(product(c,b),b)))),bind(Y,$fot(product(product(a,b),product(c,b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_7628,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,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_7626,refute_0_7627]) ).

cnf(refute_0_7629,plain,
    product(product(product(a,c),c),product(product(c,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_1152,refute_0_7628]) ).

cnf(refute_0_7630,plain,
    product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) = product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))))]]) ).

cnf(refute_0_7631,plain,
    ( product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) != product(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,c),b)
    | product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) = product(product(a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))),product(product(a,c),product(product(product(a,c),c),product(product(c,b),b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_7632,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) = product(product(a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))),product(product(a,c),product(product(product(a,c),c),product(product(c,b),b)))) )],[refute_0_7630,refute_0_7631]) ).

cnf(refute_0_7633,plain,
    product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) = product(product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,c),b)) )],[refute_0_7629,refute_0_7632]) ).

cnf(refute_0_7634,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),c),product(product(c,b),b))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_47,$fot(product(a,c)))]]) ).

cnf(refute_0_7635,plain,
    ( product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) != product(product(a,c),product(product(a,c),b))
    | product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(product(a,c),c),product(product(c,b),b)))
    | product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))))),bind(Y,$fot(product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))))),bind(Z,$fot(product(product(a,c),product(product(a,c),b))))]]) ).

cnf(refute_0_7636,plain,
    ( product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))) != product(product(a,c),product(product(a,c),b))
    | product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,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),c),product(product(c,b),b)))) )],[refute_0_7634,refute_0_7635]) ).

cnf(refute_0_7637,plain,
    product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(a,c),c),product(product(c,b),b))),product(product(a,c),product(product(a,c),b))) )],[refute_0_7633,refute_0_7636]) ).

cnf(refute_0_7638,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_7639,plain,
    ( product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(a,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,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,c),b)))]]) ).

cnf(refute_0_7640,plain,
    ( product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(a,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,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_7638,refute_0_7639]) ).

cnf(refute_0_7641,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,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,c),b))) )],[refute_0_7637,refute_0_7640]) ).

cnf(refute_0_7642,plain,
    ( product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,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,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,c),b)),product(a,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[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,c),b)),bigC(product(a,c),product(c,b),product(a,b))))),bind(Z,$fot(product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c))))))]]) ).

cnf(refute_0_7643,plain,
    ( product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,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,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,c),b)),bigC(product(a,c),product(c,b),product(a,b)))) )],[refute_0_7641,refute_0_7642]) ).

cnf(refute_0_7644,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,c),b)),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c))))) )],[refute_0_7625,refute_0_7643]) ).

cnf(refute_0_7645,plain,
    ( product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(product(product(a,c),b),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,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,a,c),product(product(product(a,c),b),product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[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,c),b)),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))))]]) ).

cnf(refute_0_7646,plain,
    ( product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(product(product(a,c),b),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,a,c),product(product(product(a,c),b),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,c),b)),product(a,product(b,product(b,c))))) )],[refute_0_7644,refute_0_7645]) ).

cnf(refute_0_7647,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,a,c),product(product(product(a,c),b),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(a,product(b,product(b,c)))),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_7613,refute_0_7646]) ).

cnf(refute_0_7648,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,a,c),product(product(product(a,c),b),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(a,c),product(c,b))
    | product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = 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,a,c),product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_7649,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,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = 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,a,c),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_7647,refute_0_7648]) ).

cnf(refute_0_7650,plain,
    ( product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != product(product(a,c),product(c,b))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),product(a,b)) ),[0],$fot(product(product(a,c),product(c,b)))]]) ).

cnf(refute_0_7651,plain,
    ( product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != product(product(a,c),product(c,b))
    | product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_7650]) ).

cnf(refute_0_7652,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,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),product(product(a,c),product(c,b))) )],[refute_0_7649,refute_0_7651]) ).

cnf(refute_0_7653,plain,
    product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = 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_7605,refute_0_7652]) ).

cnf(refute_0_7654,plain,
    ( difference(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != bigC(a,a,c)
    | product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != product(a,b)
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),bigC(a,a,c)) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_7655,plain,
    ( difference(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != bigC(a,a,c)
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),product(a,b)) )],[refute_0_7653,refute_0_7654]) ).

cnf(refute_0_7656,plain,
    difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),bigC(a,a,c)) )],[refute_0_7602,refute_0_7655]) ).

cnf(refute_0_7657,plain,
    difference(bigC(a,a,c),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = product(product(product(a,c),b),product(b,product(b,c))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_7658,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != product(a,b)
    | difference(bigC(a,a,c),product(a,b)) = product(product(product(a,c),b),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),product(product(product(a,c),b),product(b,product(b,c)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_7659,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != product(product(product(a,c),b),product(b,product(b,c)))
    | difference(bigC(a,a,c),product(a,b)) = product(product(product(a,c),b),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),product(a,b)) )],[refute_0_7653,refute_0_7658]) ).

cnf(refute_0_7660,plain,
    difference(bigC(a,a,c),product(a,b)) = product(product(product(a,c),b),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_7657,refute_0_7659]) ).

cnf(refute_0_7661,plain,
    product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),c))) = product(product(c,b),b),
    inference(subst,[],[refute_0_11:[bind(A,$fot(c)),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7662,plain,
    product(quotient(bigC(b,b,product(c,a)),c),c) = bigC(b,b,product(c,a)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(bigC(b,b,product(c,a)))),bind(B,$fot(c))]]) ).

cnf(refute_0_7663,plain,
    difference(c,product(c,quotient(bigC(b,b,product(c,a)),c))) = quotient(bigC(b,b,product(c,a)),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(quotient(bigC(b,b,product(c,a)),c)))]]) ).

cnf(refute_0_7664,plain,
    quotient(product(product(bigC(a,a,b),b),c),c) = product(bigC(a,a,b),b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(bigC(a,a,b),b))),bind(B,$fot(c))]]) ).

cnf(refute_0_7665,plain,
    bigC(c,product(c,b),bigC(b,a,b)) = product(product(c,product(c,b)),product(bigC(b,a,b),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(c,b))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7666,plain,
    product(bigC(b,a,b),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(bigC(b,a,b))),bind(B,$fot(bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7667,plain,
    difference(product(b,product(a,b)),bigC(b,product(a,b),product(c,product(c,a)))) = product(product(c,product(c,a)),b),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(b)),bind(X_18,$fot(product(a,b))),bind(X_19,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_7668,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(product(a,product(b,c)),bigC(b,a,b))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(bigC(b,a,b))),bind(X_36,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_7669,plain,
    bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(a,b))),bind(X_19,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_7670,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))
    | bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(c,a),b) = product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))) ),[0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_7671,plain,
    ( bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))) != product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))
    | product(product(c,a),b) = product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_1339,refute_0_7670]) ).

cnf(refute_0_7672,plain,
    product(product(c,a),b) = product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(b,bigC(c,a,b))),product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))) )],[refute_0_7669,refute_0_7671]) ).

cnf(refute_0_7673,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)))]]) ).

cnf(refute_0_7674,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7675,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_7673,refute_0_7674]) ).

cnf(refute_0_7676,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_7675]) ).

cnf(refute_0_7677,plain,
    product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(b,bigC(c,a,b)))),bind(X_36,$fot(a))]]) ).

cnf(refute_0_7678,plain,
    ( product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) != product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))))),bind(Y,$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))))]]) ).

cnf(refute_0_7679,plain,
    ( product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))),product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_7677,refute_0_7678]) ).

cnf(refute_0_7680,plain,
    product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,b,a)),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_7676,refute_0_7679]) ).

cnf(refute_0_7681,plain,
    ( product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(c,a),b) != product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))
    | product(product(c,a),b) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),b),product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))) ),[1],$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_7682,plain,
    ( product(product(c,a),b) != product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))
    | product(product(c,a),b) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b))),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_7680,refute_0_7681]) ).

cnf(refute_0_7683,plain,
    product(product(c,a),b) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(product(a,b),product(product(b,bigC(c,a,b)),product(a,b)))) )],[refute_0_7672,refute_0_7682]) ).

cnf(refute_0_7684,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,a),b) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),b),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7685,plain,
    ( product(product(c,a),b) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_7684]) ).

cnf(refute_0_7686,plain,
    product(a,product(b,bigC(c,a,b))) = product(a,product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(a,product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_7687,plain,
    ( product(a,product(b,bigC(c,a,b))) != product(a,product(b,bigC(c,a,b)))
    | product(b,bigC(c,a,b)) != product(b,c)
    | product(a,product(b,bigC(c,a,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,bigC(c,a,b))),product(a,product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_7688,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(a,product(b,bigC(c,a,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(c,a,b))),product(a,product(b,bigC(c,a,b)))) )],[refute_0_7686,refute_0_7687]) ).

cnf(refute_0_7689,plain,
    product(a,product(b,bigC(c,a,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_2512,refute_0_7688]) ).

cnf(refute_0_7690,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_7691,plain,
    ( product(a,product(b,bigC(c,a,b))) != product(a,product(b,c))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7692,plain,
    ( product(a,product(b,bigC(c,a,b))) != product(a,product(b,c))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_7690,refute_0_7691]) ).

cnf(refute_0_7693,plain,
    product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(c,a,b))),product(a,product(b,c))) )],[refute_0_7689,refute_0_7692]) ).

cnf(refute_0_7694,plain,
    ( product(c,product(c,b)) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)) != 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( ~ $equal(product(c,product(c,b)),product(product(a,product(b,c)),bigC(b,a,b))) ),[0],$fot(product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b)))]]) ).

cnf(refute_0_7695,plain,
    ( product(c,product(c,b)) != product(product(a,product(b,bigC(c,a,b))),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,product(b,bigC(c,a,b))),bigC(b,a,b)),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_7693,refute_0_7694]) ).

cnf(refute_0_7696,plain,
    ( product(product(c,a),b) != product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_7685,refute_0_7695]) ).

cnf(refute_0_7697,plain,
    product(c,product(c,b)) = product(product(a,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(product(a,product(b,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_7683,refute_0_7696]) ).

cnf(refute_0_7698,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(c,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_7699,plain,
    product(product(a,product(b,c)),bigC(b,a,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_7697,refute_0_7698]) ).

cnf(refute_0_7700,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(product(a,product(b,c)),bigC(b,a,b))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | product(product(a,product(b,c)),bigC(b,a,b)) != product(c,product(c,b))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(product(a,product(b,c)),bigC(b,a,b))),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) ),[0,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7701,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(product(a,product(b,c)),bigC(b,a,b))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(c,product(c,b))) )],[refute_0_7699,refute_0_7700]) ).

cnf(refute_0_7702,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(product(a,product(b,c)),bigC(b,a,b))),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) )],[refute_0_7668,refute_0_7701]) ).

cnf(refute_0_7703,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(b,a,b),product(product(c,product(c,b)),bigC(b,a,b))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(bigC(b,a,b))),bind(X_19,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_7704,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(b,a,b),product(product(c,product(c,b)),bigC(b,a,b)))
    | product(product(c,product(c,b)),bigC(b,a,b)) != product(product(c,product(c,a)),b)
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(b,a,b),product(product(c,product(c,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),product(bigC(b,a,b),product(product(c,product(c,b)),bigC(b,a,b)))) ),[1,1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_7705,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(b,a,b),product(product(c,product(c,b)),bigC(b,a,b)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(b,a,b),product(product(c,product(c,a)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,a)),b)) )],[refute_0_1355,refute_0_7704]) ).

cnf(refute_0_7706,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = product(bigC(b,a,b),product(product(c,product(c,a)),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),product(bigC(b,a,b),product(product(c,product(c,b)),bigC(b,a,b)))) )],[refute_0_7703,refute_0_7705]) ).

cnf(refute_0_7707,plain,
    product(bigC(b,a,b),product(product(c,product(c,a)),b)) = bigC(b,product(a,b),product(c,product(c,a))),
    inference(subst,[],[refute_0_1140:[bind(X_17,$fot(b)),bind(X_19,$fot(product(c,product(c,a)))),bind(X_60,$fot(a))]]) ).

cnf(refute_0_7708,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(b,a,b),product(product(c,product(c,a)),b))
    | product(bigC(b,a,b),product(product(c,product(c,a)),b)) != bigC(b,product(a,b),product(c,product(c,a)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = bigC(b,product(a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),bigC(b,product(a,b),product(c,product(c,a)))) ),[0],$fot(product(bigC(b,a,b),product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_7709,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(b,a,b),product(product(c,product(c,a)),b))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = bigC(b,product(a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(c,product(c,a)),b)),bigC(b,product(a,b),product(c,product(c,a)))) )],[refute_0_7707,refute_0_7708]) ).

cnf(refute_0_7710,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) = bigC(b,product(a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),product(bigC(b,a,b),product(product(c,product(c,a)),b))) )],[refute_0_7706,refute_0_7709]) ).

cnf(refute_0_7711,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != bigC(b,product(a,b),product(c,product(c,a)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | bigC(b,product(a,b),product(c,product(c,a))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) ),[0],$fot(bigC(b,product(a,b),product(c,product(c,a))))]]) ).

cnf(refute_0_7712,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | bigC(b,product(a,b),product(c,product(c,a))) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),bigC(b,product(a,b),product(c,product(c,a)))) )],[refute_0_7710,refute_0_7711]) ).

cnf(refute_0_7713,plain,
    ( bigC(c,product(c,b),C) != bigC(c,C,product(c,b))
    | bigC(c,C,product(c,b)) = bigC(c,product(c,b),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(c,b),C))),bind(Y,$fot(bigC(c,C,product(c,b))))]]) ).

cnf(refute_0_7714,plain,
    bigC(c,C,product(c,b)) = bigC(c,product(c,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),C),bigC(c,C,product(c,b))) )],[refute_0_1711,refute_0_7713]) ).

cnf(refute_0_7715,plain,
    bigC(c,bigC(b,a,b),product(c,b)) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_7714:[bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7716,plain,
    product(product(c,bigC(b,a,b)),bigC(b,a,b)) = bigC(c,bigC(b,a,b),product(c,b)),
    inference(subst,[],[refute_0_1725:[bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7717,plain,
    ( bigC(c,bigC(b,a,b),product(c,b)) != bigC(c,product(c,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,a,b)) != bigC(c,bigC(b,a,b),product(c,b))
    | product(product(c,bigC(b,a,b)),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,a,b)),bigC(b,a,b)))),bind(Y,$fot(bigC(c,bigC(b,a,b),product(c,b)))),bind(Z,$fot(bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7718,plain,
    ( bigC(c,bigC(b,a,b),product(c,b)) != bigC(c,product(c,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(c,bigC(b,a,b),product(c,b))) )],[refute_0_7716,refute_0_7717]) ).

cnf(refute_0_7719,plain,
    product(product(c,bigC(b,a,b)),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),product(c,b)),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7715,refute_0_7718]) ).

cnf(refute_0_7720,plain,
    bigC(b,a,product(b,b)) = bigC(b,a,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(b,a,product(b,b)))]]) ).

cnf(refute_0_7721,plain,
    ( bigC(b,a,product(b,b)) != bigC(b,a,product(b,b))
    | product(b,b) != b
    | bigC(b,a,product(b,b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,product(b,b)),bigC(b,a,product(b,b))) ),[1,2],$fot(b)]]) ).

cnf(refute_0_7722,plain,
    ( product(b,b) != b
    | bigC(b,a,product(b,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(b,b)),bigC(b,a,product(b,b))) )],[refute_0_7720,refute_0_7721]) ).

cnf(refute_0_7723,plain,
    bigC(b,a,product(b,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_7722]) ).

cnf(refute_0_7724,plain,
    bigC(b,product(b,b),a) = bigC(b,a,product(b,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(b,b)))]]) ).

cnf(refute_0_7725,plain,
    product(bigC(b,b,b),product(a,b)) = bigC(b,product(b,b),a),
    inference(subst,[],[refute_0_1140:[bind(X_17,$fot(b)),bind(X_19,$fot(a)),bind(X_60,$fot(b))]]) ).

cnf(refute_0_7726,plain,
    ( bigC(b,product(b,b),a) != bigC(b,a,product(b,b))
    | product(bigC(b,b,b),product(a,b)) != bigC(b,product(b,b),a)
    | product(bigC(b,b,b),product(a,b)) = bigC(b,a,product(b,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,b),product(a,b)))),bind(Y,$fot(bigC(b,product(b,b),a))),bind(Z,$fot(bigC(b,a,product(b,b))))]]) ).

cnf(refute_0_7727,plain,
    ( bigC(b,product(b,b),a) != bigC(b,a,product(b,b))
    | product(bigC(b,b,b),product(a,b)) = bigC(b,a,product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,b),product(a,b)),bigC(b,product(b,b),a)) )],[refute_0_7725,refute_0_7726]) ).

cnf(refute_0_7728,plain,
    product(bigC(b,b,b),product(a,b)) = bigC(b,a,product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,b),a),bigC(b,a,product(b,b))) )],[refute_0_7724,refute_0_7727]) ).

cnf(refute_0_7729,plain,
    product(product(product(X_66,X_67),X_18),product(X_66,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(X_66,X_67),X_18))),bind(X_25,$fot(X_66)),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_7730,plain,
    bigC(product(X_66,X_67),X_18,product(X_66,X_67)) = product(product(product(X_66,X_67),X_18),product(X_66,X_67)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(X_66,X_67)))]]) ).

cnf(refute_0_7731,plain,
    ( bigC(product(X_66,X_67),X_18,product(X_66,X_67)) != product(product(product(X_66,X_67),X_18),product(X_66,X_67))
    | product(product(product(X_66,X_67),X_18),product(X_66,X_67)) = bigC(product(X_66,X_67),X_18,product(X_66,X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(X_66,X_67),X_18,product(X_66,X_67)))),bind(Y,$fot(product(product(product(X_66,X_67),X_18),product(X_66,X_67))))]]) ).

cnf(refute_0_7732,plain,
    product(product(product(X_66,X_67),X_18),product(X_66,X_67)) = bigC(product(X_66,X_67),X_18,product(X_66,X_67)),
    inference(resolve,[$cnf( $equal(bigC(product(X_66,X_67),X_18,product(X_66,X_67)),product(product(product(X_66,X_67),X_18),product(X_66,X_67))) )],[refute_0_7730,refute_0_7731]) ).

cnf(refute_0_7733,plain,
    ( product(product(product(X_66,X_67),X_18),product(X_66,X_67)) != bigC(product(X_66,X_67),X_18,product(X_66,X_67))
    | product(product(product(X_66,X_67),X_18),product(X_66,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | bigC(product(X_66,X_67),X_18,product(X_66,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_66,X_67),X_18),product(X_66,X_67)),product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))) ),[0],$fot(bigC(product(X_66,X_67),X_18,product(X_66,X_67)))]]) ).

cnf(refute_0_7734,plain,
    ( product(product(product(X_66,X_67),X_18),product(X_66,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | bigC(product(X_66,X_67),X_18,product(X_66,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_66,X_67),X_18),product(X_66,X_67)),bigC(product(X_66,X_67),X_18,product(X_66,X_67))) )],[refute_0_7732,refute_0_7733]) ).

cnf(refute_0_7735,plain,
    bigC(product(X_66,X_67),X_18,product(X_66,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)),
    inference(resolve,[$cnf( $equal(product(product(product(X_66,X_67),X_18),product(X_66,X_67)),product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))) )],[refute_0_7729,refute_0_7734]) ).

cnf(refute_0_7736,plain,
    bigC(product(X_66,X_67),X_18,product(X_66,X_67)) = product(bigC(X_66,X_67,X_66),product(X_18,X_67)),
    inference(subst,[],[refute_0_152:[bind(X_25,$fot(X_66)),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_7737,plain,
    ( bigC(product(X_66,X_67),X_18,product(X_66,X_67)) != product(bigC(X_66,X_67,X_66),product(X_18,X_67))
    | bigC(product(X_66,X_67),X_18,product(X_66,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_66,X_67),X_18,product(X_66,X_67)),product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))) ),[0],$fot(product(bigC(X_66,X_67,X_66),product(X_18,X_67)))]]) ).

cnf(refute_0_7738,plain,
    ( bigC(product(X_66,X_67),X_18,product(X_66,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_66,X_67),X_18,product(X_66,X_67)),product(bigC(X_66,X_67,X_66),product(X_18,X_67))) )],[refute_0_7736,refute_0_7737]) ).

cnf(refute_0_7739,plain,
    product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(X_66)),bind(X_24,$fot(X_67)),bind(X_25,$fot(X_18)),bind(X_26,$fot(X_18))]]) ).

cnf(refute_0_7740,plain,
    product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) = product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(X_67)),bind(X_24,$fot(X_66)),bind(X_25,$fot(product(X_18,X_18))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_7741,plain,
    ( product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) != product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67))
    | product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)))),bind(Y,$fot(product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)))),bind(Z,$fot(product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))))]]) ).

cnf(refute_0_7742,plain,
    ( product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)),product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67))) )],[refute_0_7740,refute_0_7741]) ).

cnf(refute_0_7743,plain,
    product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(X_66,X_67,X_66),product(product(X_18,X_18),X_67)),product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))) )],[refute_0_7739,refute_0_7742]) ).

cnf(refute_0_7744,plain,
    product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) = product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(X_66)),bind(D,$fot(X_67)),bind(X_65,$fot(product(X_66,X_67))),bind(X_66,$fot(X_18)),bind(X_67,$fot(X_18))]]) ).

cnf(refute_0_7745,plain,
    ( product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) != product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67))
    | product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)))),bind(Y,$fot(product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)))),bind(Z,$fot(product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))))]]) ).

cnf(refute_0_7746,plain,
    ( product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)),product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67))) )],[refute_0_7744,refute_0_7745]) ).

cnf(refute_0_7747,plain,
    product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)),
    inference(resolve,[$cnf( $equal(product(product(product(X_66,X_67),product(X_18,X_18)),product(X_66,X_67)),product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))) )],[refute_0_7743,refute_0_7746]) ).

cnf(refute_0_7748,plain,
    ( product(bigC(X_66,X_67,X_66),product(X_18,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_66,X_67,X_66),product(X_18,X_67)),product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))) ),[0],$fot(product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)))]]) ).

cnf(refute_0_7749,plain,
    ( product(bigC(X_66,X_67,X_66),product(X_18,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67)),product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))) )],[refute_0_7747,refute_0_7748]) ).

cnf(refute_0_7750,plain,
    ( bigC(product(X_66,X_67),X_18,product(X_66,X_67)) != product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))
    | product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_66,X_67,X_66),product(X_18,X_67)),product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))) )],[refute_0_7738,refute_0_7749]) ).

cnf(refute_0_7751,plain,
    product(bigC(X_66,X_67,X_66),product(X_18,X_67)) = product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)),
    inference(resolve,[$cnf( $equal(bigC(product(X_66,X_67),X_18,product(X_66,X_67)),product(product(product(product(X_66,X_67),X_18),X_66),product(product(product(X_66,X_67),X_18),X_67))) )],[refute_0_7735,refute_0_7750]) ).

cnf(refute_0_7752,plain,
    ( product(bigC(X_66,X_67,X_66),product(X_18,X_67)) != product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))
    | product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) = product(bigC(X_66,X_67,X_66),product(X_18,X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(X_66,X_67,X_66),product(X_18,X_67)))),bind(Y,$fot(product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))))]]) ).

cnf(refute_0_7753,plain,
    product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67)) = product(bigC(X_66,X_67,X_66),product(X_18,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(X_66,X_67,X_66),product(X_18,X_67)),product(bigC(X_66,X_18,X_66),bigC(X_67,X_18,X_67))) )],[refute_0_7751,refute_0_7752]) ).

cnf(refute_0_7754,plain,
    product(bigC(b,a,b),bigC(b,a,b)) = product(bigC(b,b,b),product(a,b)),
    inference(subst,[],[refute_0_7753:[bind(X_18,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_7755,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != product(bigC(b,b,b),product(a,b))
    | product(bigC(b,b,b),product(a,b)) != bigC(b,a,product(b,b))
    | product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,product(b,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),bigC(b,a,b)))),bind(Y,$fot(product(bigC(b,b,b),product(a,b)))),bind(Z,$fot(bigC(b,a,product(b,b))))]]) ).

cnf(refute_0_7756,plain,
    ( product(bigC(b,b,b),product(a,b)) != bigC(b,a,product(b,b))
    | product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,a,b)),product(bigC(b,b,b),product(a,b))) )],[refute_0_7754,refute_0_7755]) ).

cnf(refute_0_7757,plain,
    product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,product(b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,b),product(a,b)),bigC(b,a,product(b,b))) )],[refute_0_7728,refute_0_7756]) ).

cnf(refute_0_7758,plain,
    ( bigC(b,a,product(b,b)) != bigC(b,a,b)
    | product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,product(b,b))
    | product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),bigC(b,a,b)))),bind(Y,$fot(bigC(b,a,product(b,b)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7759,plain,
    ( bigC(b,a,product(b,b)) != bigC(b,a,b)
    | product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,a,b)),bigC(b,a,product(b,b))) )],[refute_0_7757,refute_0_7758]) ).

cnf(refute_0_7760,plain,
    product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(b,b)),bigC(b,a,b)) )],[refute_0_7723,refute_0_7759]) ).

cnf(refute_0_7761,plain,
    product(c,product(bigC(b,a,b),bigC(b,a,b))) = product(c,product(bigC(b,a,b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(b,a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7762,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(c,product(bigC(b,a,b),bigC(b,a,b))) != product(c,product(bigC(b,a,b),bigC(b,a,b)))
    | product(c,product(bigC(b,a,b),bigC(b,a,b))) = product(c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(b,a,b),bigC(b,a,b))),product(c,product(bigC(b,a,b),bigC(b,a,b)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7763,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(c,product(bigC(b,a,b),bigC(b,a,b))) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,a,b),bigC(b,a,b))),product(c,product(bigC(b,a,b),bigC(b,a,b)))) )],[refute_0_7761,refute_0_7762]) ).

cnf(refute_0_7764,plain,
    product(c,product(bigC(b,a,b),bigC(b,a,b))) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,a,b)),bigC(b,a,b)) )],[refute_0_7760,refute_0_7763]) ).

cnf(refute_0_7765,plain,
    bigC(difference(product(a,product(b,c)),product(c,product(c,b))),X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(c,product(c,b)))),bind(X_19,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_7766,plain,
    difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7767,plain,
    ( difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(b,a,b))) != bigC(b,a,b)
    | product(product(a,product(b,c)),bigC(b,a,b)) != product(c,product(c,b))
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(b,a,b))),bigC(b,a,b)) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7768,plain,
    ( difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(b,a,b))) != bigC(b,a,b)
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(c,product(c,b))) )],[refute_0_7699,refute_0_7767]) ).

cnf(refute_0_7769,plain,
    difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_7766,refute_0_7768]) ).

cnf(refute_0_7770,plain,
    ( bigC(difference(product(a,product(b,c)),product(c,product(c,b))),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(b,a,b)
    | bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7771,plain,
    ( bigC(difference(product(a,product(b,c)),product(c,product(c,b))),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_7769,refute_0_7770]) ).

cnf(refute_0_7772,plain,
    bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))) )],[refute_0_7765,refute_0_7771]) ).

cnf(refute_0_7773,plain,
    bigC(bigC(b,a,b),difference(bigC(b,a,b),c),X_19) = product(c,product(X_19,bigC(b,a,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(c)),bind(X_17,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7774,plain,
    ( bigC(bigC(b,a,b),difference(bigC(b,a,b),c),X_19) != product(c,product(X_19,bigC(b,a,b)))
    | difference(bigC(b,a,b),c) != product(a,product(b,c))
    | bigC(bigC(b,a,b),product(a,product(b,c)),X_19) = product(c,product(X_19,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),difference(bigC(b,a,b),c),X_19),product(c,product(X_19,bigC(b,a,b)))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7775,plain,
    ( bigC(bigC(b,a,b),difference(bigC(b,a,b),c),X_19) != product(c,product(X_19,bigC(b,a,b)))
    | bigC(bigC(b,a,b),product(a,product(b,c)),X_19) = product(c,product(X_19,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_1775,refute_0_7774]) ).

cnf(refute_0_7776,plain,
    bigC(bigC(b,a,b),product(a,product(b,c)),X_19) = product(c,product(X_19,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),difference(bigC(b,a,b),c),X_19),product(c,product(X_19,bigC(b,a,b)))) )],[refute_0_7773,refute_0_7775]) ).

cnf(refute_0_7777,plain,
    bigC(bigC(b,a,b),product(a,product(b,c)),X_18) = product(c,product(X_18,bigC(b,a,b))),
    inference(subst,[],[refute_0_7776:[bind(X_19,$fot(X_18))]]) ).

cnf(refute_0_7778,plain,
    bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18))]]) ).

cnf(refute_0_7779,plain,
    ( bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) != bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18)
    | difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(b,a,b)
    | bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = bigC(bigC(b,a,b),product(a,product(b,c)),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7780,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(b,a,b)
    | bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = bigC(bigC(b,a,b),product(a,product(b,c)),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18)) )],[refute_0_7778,refute_0_7779]) ).

cnf(refute_0_7781,plain,
    bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = bigC(bigC(b,a,b),product(a,product(b,c)),X_18),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_7769,refute_0_7780]) ).

cnf(refute_0_7782,plain,
    ( bigC(bigC(b,a,b),product(a,product(b,c)),X_18) != product(c,product(X_18,bigC(b,a,b)))
    | bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) != bigC(bigC(b,a,b),product(a,product(b,c)),X_18)
    | bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18))),bind(Y,$fot(bigC(bigC(b,a,b),product(a,product(b,c)),X_18))),bind(Z,$fot(product(c,product(X_18,bigC(b,a,b)))))]]) ).

cnf(refute_0_7783,plain,
    ( bigC(bigC(b,a,b),product(a,product(b,c)),X_18) != product(c,product(X_18,bigC(b,a,b)))
    | bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),bigC(bigC(b,a,b),product(a,product(b,c)),X_18)) )],[refute_0_7781,refute_0_7782]) ).

cnf(refute_0_7784,plain,
    bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) = product(c,product(X_18,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),product(a,product(b,c)),X_18),product(c,product(X_18,bigC(b,a,b)))) )],[refute_0_7777,refute_0_7783]) ).

cnf(refute_0_7785,plain,
    product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) = bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(product(a,product(b,c)))),bind(C,$fot(X_18)),bind(X_70,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_7786,plain,
    ( bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) != product(c,product(X_18,bigC(b,a,b)))
    | product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) != bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18)
    | product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))))),bind(Y,$fot(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18))),bind(Z,$fot(product(c,product(X_18,bigC(b,a,b)))))]]) ).

cnf(refute_0_7787,plain,
    ( bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18) != product(c,product(X_18,bigC(b,a,b)))
    | product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))),bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18)) )],[refute_0_7785,refute_0_7786]) ).

cnf(refute_0_7788,plain,
    product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) = product(c,product(X_18,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,product(b,c)),product(c,product(c,b))),product(a,product(b,c)),X_18),product(c,product(X_18,bigC(b,a,b)))) )],[refute_0_7784,refute_0_7787]) ).

cnf(refute_0_7789,plain,
    ( bigC(bigC(b,a,b),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))) != product(c,product(X_18,bigC(b,a,b)))
    | bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(c,product(X_18,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),X_18,product(a,product(b,c))),product(c,product(X_18,bigC(b,a,b)))) ),[0],$fot(product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))))]]) ).

cnf(refute_0_7790,plain,
    ( bigC(bigC(b,a,b),X_18,product(a,product(b,c))) != product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(c,product(X_18,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b))),product(c,product(X_18,bigC(b,a,b)))) )],[refute_0_7788,refute_0_7789]) ).

cnf(refute_0_7791,plain,
    bigC(bigC(b,a,b),X_18,product(a,product(b,c))) = product(c,product(X_18,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),X_18,product(a,product(b,c))),product(product(difference(product(a,product(b,c)),product(c,product(c,b))),X_18),product(c,product(c,b)))) )],[refute_0_7772,refute_0_7790]) ).

cnf(refute_0_7792,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = product(c,product(bigC(b,a,b),bigC(b,a,b))),
    inference(subst,[],[refute_0_7791:[bind(X_18,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7793,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != product(c,product(bigC(b,a,b),bigC(b,a,b)))
    | product(c,product(bigC(b,a,b),bigC(b,a,b))) != product(c,bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))))),bind(Y,$fot(product(c,product(bigC(b,a,b),bigC(b,a,b))))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_7794,plain,
    ( product(c,product(bigC(b,a,b),bigC(b,a,b))) != product(c,bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),product(c,product(bigC(b,a,b),bigC(b,a,b)))) )],[refute_0_7792,refute_0_7793]) ).

cnf(refute_0_7795,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,a,b),bigC(b,a,b))),product(c,bigC(b,a,b))) )],[refute_0_7764,refute_0_7794]) ).

cnf(refute_0_7796,plain,
    product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)))]]) ).

cnf(refute_0_7797,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != product(c,bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_7798,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != product(c,bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) )],[refute_0_7796,refute_0_7797]) ).

cnf(refute_0_7799,plain,
    product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),product(c,bigC(b,a,b))) )],[refute_0_7795,refute_0_7798]) ).

cnf(refute_0_7800,plain,
    ( product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) != product(product(c,bigC(b,a,b)),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,a,b)) != bigC(c,product(c,b),bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)))),bind(Y,$fot(product(product(c,bigC(b,a,b)),bigC(b,a,b)))),bind(Z,$fot(bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7801,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,a,b)) != bigC(c,product(c,b),bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),product(product(c,bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_7799,refute_0_7800]) ).

cnf(refute_0_7802,plain,
    product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7719,refute_0_7801]) ).

cnf(refute_0_7803,plain,
    ( bigC(b,product(a,b),product(c,product(c,a))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)) != bigC(c,product(c,b),bigC(b,a,b))
    | bigC(b,product(a,b),product(c,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(a,b),product(c,product(c,a))),bigC(c,product(c,b),bigC(b,a,b))) ),[0],$fot(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)))]]) ).

cnf(refute_0_7804,plain,
    ( bigC(b,product(a,b),product(c,product(c,a))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | bigC(b,product(a,b),product(c,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b)),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7802,refute_0_7803]) ).

cnf(refute_0_7805,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))) != product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))
    | bigC(b,product(a,b),product(c,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(c,product(c,a))),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) )],[refute_0_7712,refute_0_7804]) ).

cnf(refute_0_7806,plain,
    bigC(b,product(a,b),product(c,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(c,product(c,b))),product(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(b,a,b))) )],[refute_0_7702,refute_0_7805]) ).

cnf(refute_0_7807,plain,
    ( bigC(b,product(a,b),product(c,product(c,a))) != bigC(c,product(c,b),bigC(b,a,b))
    | difference(product(b,product(a,b)),bigC(b,product(a,b),product(c,product(c,a)))) != product(product(c,product(c,a)),b)
    | difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,b)),bigC(b,product(a,b),product(c,product(c,a)))),product(product(c,product(c,a)),b)) ),[0,1],$fot(bigC(c,product(c,b),bigC(b,a,b)))]]) ).

cnf(refute_0_7808,plain,
    ( difference(product(b,product(a,b)),bigC(b,product(a,b),product(c,product(c,a)))) != product(product(c,product(c,a)),b)
    | difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(c,product(c,a))),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7806,refute_0_7807]) ).

cnf(refute_0_7809,plain,
    difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = product(product(c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,b)),bigC(b,product(a,b),product(c,product(c,a)))),product(product(c,product(c,a)),b)) )],[refute_0_7667,refute_0_7808]) ).

cnf(refute_0_7810,plain,
    difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7811,plain,
    ( difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) != difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b)))
    | product(b,product(a,b)) != bigC(b,a,b)
    | difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7812,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b)))) )],[refute_0_7810,refute_0_7811]) ).

cnf(refute_0_7813,plain,
    difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,a,b)) )],[refute_0_2483,refute_0_7812]) ).

cnf(refute_0_7814,plain,
    ( difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) != difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))
    | difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) != product(product(c,product(c,a)),b)
    | difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),product(product(c,product(c,a)),b)) ),[0],$fot(difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7815,plain,
    ( difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) != product(product(c,product(c,a)),b)
    | difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))) )],[refute_0_7813,refute_0_7814]) ).

cnf(refute_0_7816,plain,
    ( difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) != product(product(c,product(c,a)),b)
    | product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_7817,plain,
    ( difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) != product(product(c,product(c,a)),b)
    | difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,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_922,refute_0_7816]) ).

cnf(refute_0_7818,plain,
    ( difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))) != product(product(c,product(c,a)),b)
    | difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))),product(product(c,product(c,a)),b)) )],[refute_0_7815,refute_0_7817]) ).

cnf(refute_0_7819,plain,
    difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,b)),bigC(c,product(c,b),bigC(b,a,b))),product(product(c,product(c,a)),b)) )],[refute_0_7809,refute_0_7818]) ).

cnf(refute_0_7820,plain,
    ( difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))) != product(c,bigC(b,b,c))
    | product(bigC(b,a,b),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))) != bigC(c,product(c,b),bigC(b,a,b))
    | product(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))),bigC(c,product(c,b),bigC(b,a,b))) ),[0,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_7821,plain,
    ( product(bigC(b,a,b),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))) != bigC(c,product(c,b),bigC(b,a,b))
    | product(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b))),product(c,bigC(b,b,c))) )],[refute_0_7819,refute_0_7820]) ).

cnf(refute_0_7822,plain,
    product(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),difference(bigC(b,a,b),bigC(c,product(c,b),bigC(b,a,b)))),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7666,refute_0_7821]) ).

cnf(refute_0_7823,plain,
    bigC(b,b,product(c,a)) = product(b,product(product(c,a),b)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(b)),bind(X_19,$fot(product(c,a)))]]) ).

cnf(refute_0_7824,plain,
    ( bigC(b,b,product(c,a)) != product(b,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(b,b,product(c,a)) = product(b,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,b,product(c,a)),product(b,product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7825,plain,
    ( bigC(b,b,product(c,a)) != product(b,product(product(c,a),b))
    | bigC(b,b,product(c,a)) = product(b,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_7824]) ).

cnf(refute_0_7826,plain,
    bigC(b,b,product(c,a)) = product(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),product(b,product(product(c,a),b))) )],[refute_0_7823,refute_0_7825]) ).

cnf(refute_0_7827,plain,
    product(b,product(c,product(c,b))) = bigC(b,c,product(b,c)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_7828,plain,
    ( bigC(b,b,product(c,a)) != product(b,product(c,product(c,b)))
    | product(b,product(c,product(c,b))) != 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(b,product(c,product(c,b))))]]) ).

cnf(refute_0_7829,plain,
    ( bigC(b,b,product(c,a)) != product(b,product(c,product(c,b)))
    | bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,product(c,b))),bigC(b,c,product(b,c))) )],[refute_0_7827,refute_0_7828]) ).

cnf(refute_0_7830,plain,
    bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),product(b,product(c,product(c,b)))) )],[refute_0_7826,refute_0_7829]) ).

cnf(refute_0_7831,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_16:[bind(X,$fot(bigC(b,b,product(c,a)))),bind(Y,$fot(bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_7832,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_7830,refute_0_7831]) ).

cnf(refute_0_7833,plain,
    product(product(b,c),bigC(b,b,c)) = bigC(b,c,product(b,c)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(c)),bind(X_45,$fot(b)),bind(X_46,$fot(c))]]) ).

cnf(refute_0_7834,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_32:[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_7835,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_7833,refute_0_7834]) ).

cnf(refute_0_7836,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_7832,refute_0_7835]) ).

cnf(refute_0_7837,plain,
    product(c,product(product(b,c),bigC(b,b,c))) = product(c,product(product(b,c),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_7838,plain,
    ( product(c,product(product(b,c),bigC(b,b,c))) != product(c,product(product(b,c),bigC(b,b,c)))
    | product(product(b,c),bigC(b,b,c)) != bigC(b,b,product(c,a))
    | product(c,product(product(b,c),bigC(b,b,c))) = product(c,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),bigC(b,b,c))),product(c,product(product(b,c),bigC(b,b,c)))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_7839,plain,
    ( product(product(b,c),bigC(b,b,c)) != bigC(b,b,product(c,a))
    | product(c,product(product(b,c),bigC(b,b,c))) = product(c,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(b,b,c))),product(c,product(product(b,c),bigC(b,b,c)))) )],[refute_0_7837,refute_0_7838]) ).

cnf(refute_0_7840,plain,
    product(c,product(product(b,c),bigC(b,b,c))) = product(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_7836,refute_0_7839]) ).

cnf(refute_0_7841,plain,
    product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(b,a,bigC(c,a,b)))),bind(X_25,$fot(product(b,bigC(c,a,b)))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_7842,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(product(b,bigC(c,a,b)),X_67)) != product(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),X_67))) ),[1,0],$fot(bigC(b,c,bigC(c,a,b)))]]) ).

cnf(refute_0_7843,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    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_2508,refute_0_7842]) ).

cnf(refute_0_7844,plain,
    product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7841,refute_0_7843]) ).

cnf(refute_0_7845,plain,
    product(product(b,bigC(c,a,b)),X_67) = product(product(b,bigC(c,a,b)),X_67),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(c,a,b)),X_67))]]) ).

cnf(refute_0_7846,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),X_67) != product(product(b,bigC(c,a,b)),X_67)
    | product(product(b,bigC(c,a,b)),X_67) = product(product(b,c),X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(c,a,b)),X_67),product(product(b,bigC(c,a,b)),X_67)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_7847,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),X_67) = product(product(b,c),X_67) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),X_67),product(product(b,bigC(c,a,b)),X_67)) )],[refute_0_7845,refute_0_7846]) ).

cnf(refute_0_7848,plain,
    product(product(b,bigC(c,a,b)),X_67) = product(product(b,c),X_67),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_2512,refute_0_7847]) ).

cnf(refute_0_7849,plain,
    product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_7850,plain,
    ( product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67))
    | product(product(b,bigC(c,a,b)),X_67) != product(product(b,c),X_67)
    | product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67))) ),[1,1],$fot(product(product(b,c),X_67))]]) ).

cnf(refute_0_7851,plain,
    ( product(product(b,bigC(c,a,b)),X_67) != product(product(b,c),X_67)
    | product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67))) )],[refute_0_7849,refute_0_7850]) ).

cnf(refute_0_7852,plain,
    product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),X_67),product(product(b,c),X_67)) )],[refute_0_7848,refute_0_7851]) ).

cnf(refute_0_7853,plain,
    product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_7854,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67))) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_7855,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67))) )],[refute_0_7853,refute_0_7854]) ).

cnf(refute_0_7856,plain,
    product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_7855]) ).

cnf(refute_0_7857,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67))
    | product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,c),product(product(b,c),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)))),bind(Y,$fot(product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)))),bind(Z,$fot(product(bigC(b,a,c),product(product(b,c),X_67))))]]) ).

cnf(refute_0_7858,plain,
    ( product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,c),product(product(b,c),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67))) )],[refute_0_7856,refute_0_7857]) ).

cnf(refute_0_7859,plain,
    product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,c),product(product(b,c),X_67))) )],[refute_0_7852,refute_0_7858]) ).

cnf(refute_0_7860,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,a,c),product(product(b,c),X_67))
    | product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))) ),[0],$fot(product(bigC(b,a,c),product(product(b,c),X_67)))]]) ).

cnf(refute_0_7861,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,a,c),product(product(b,c),X_67))) )],[refute_0_7859,refute_0_7860]) ).

cnf(refute_0_7862,plain,
    product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_7863,plain,
    ( product(bigC(b,a,bigC(c,a,b)),X_67) != product(bigC(b,a,c),X_67)
    | product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67))) ),[1,1],$fot(product(bigC(b,a,c),X_67))]]) ).

cnf(refute_0_7864,plain,
    ( product(bigC(b,a,bigC(c,a,b)),X_67) != product(bigC(b,a,c),X_67)
    | product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7862,refute_0_7863]) ).

cnf(refute_0_7865,plain,
    product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),X_67),product(bigC(b,a,c),X_67)) )],[refute_0_4707,refute_0_7864]) ).

cnf(refute_0_7866,plain,
    product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_7867,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,c)
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))) ),[1,0],$fot(bigC(b,c,c))]]) ).

cnf(refute_0_7868,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,c)
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7866,refute_0_7867]) ).

cnf(refute_0_7869,plain,
    product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(c,a,b)),bigC(b,c,c)) )],[refute_0_2533,refute_0_7868]) ).

cnf(refute_0_7870,plain,
    ( product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)))),bind(Y,$fot(product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)))),bind(Z,$fot(product(bigC(b,c,c),product(bigC(b,a,c),X_67))))]]) ).

cnf(refute_0_7871,plain,
    ( product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7869,refute_0_7870]) ).

cnf(refute_0_7872,plain,
    product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) )],[refute_0_7865,refute_0_7871]) ).

cnf(refute_0_7873,plain,
    ( product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) ),[0],$fot(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)))]]) ).

cnf(refute_0_7874,plain,
    ( product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) )],[refute_0_7872,refute_0_7873]) ).

cnf(refute_0_7875,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)) != product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7861,refute_0_7874]) ).

cnf(refute_0_7876,plain,
    product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(product(b,bigC(c,a,b)),X_67)),product(bigC(b,c,bigC(c,a,b)),product(bigC(b,a,bigC(c,a,b)),X_67))) )],[refute_0_7844,refute_0_7875]) ).

cnf(refute_0_7877,plain,
    product(bigC(b,a,c),product(product(b,c),X_67)) = product(bigC(b,a,c),product(product(b,c),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(product(b,c),X_67)))]]) ).

cnf(refute_0_7878,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,a,c),product(product(b,c),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(c,product(product(b,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,a,c),product(product(b,c),X_67))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7879,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(product(b,c),X_67)) = product(c,product(product(b,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,a,c),product(product(b,c),X_67))) )],[refute_0_7877,refute_0_7878]) ).

cnf(refute_0_7880,plain,
    product(bigC(b,a,c),product(product(b,c),X_67)) = product(c,product(product(b,c),X_67)),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_7879]) ).

cnf(refute_0_7881,plain,
    ( product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(bigC(b,a,c),product(product(b,c),X_67)) != product(c,product(product(b,c),X_67))
    | product(c,product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) ),[0],$fot(product(c,product(product(b,c),X_67)))]]) ).

cnf(refute_0_7882,plain,
    ( product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(c,product(product(b,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(c,product(product(b,c),X_67))) )],[refute_0_7880,refute_0_7881]) ).

cnf(refute_0_7883,plain,
    product(bigC(b,a,c),X_67) = product(bigC(b,a,c),X_67),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),X_67))]]) ).

cnf(refute_0_7884,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),X_67) != product(bigC(b,a,c),X_67)
    | product(bigC(b,a,c),X_67) = product(c,X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),X_67),product(bigC(b,a,c),X_67)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7885,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),X_67) = product(c,X_67) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),X_67),product(bigC(b,a,c),X_67)) )],[refute_0_7883,refute_0_7884]) ).

cnf(refute_0_7886,plain,
    product(bigC(b,a,c),X_67) = product(c,X_67),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_7885]) ).

cnf(refute_0_7887,plain,
    product(bigC(b,a,b),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(bigC(b,a,c),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(b,a,c),X_67)))]]) ).

cnf(refute_0_7888,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,c),X_67)) != product(bigC(b,a,b),product(bigC(b,a,c),X_67))
    | product(bigC(b,a,c),X_67) != product(c,X_67)
    | product(bigC(b,a,b),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,c),X_67)),product(bigC(b,a,b),product(bigC(b,a,c),X_67))) ),[1,1],$fot(product(c,X_67))]]) ).

cnf(refute_0_7889,plain,
    ( product(bigC(b,a,c),X_67) != product(c,X_67)
    | product(bigC(b,a,b),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,c),X_67)),product(bigC(b,a,b),product(bigC(b,a,c),X_67))) )],[refute_0_7887,refute_0_7888]) ).

cnf(refute_0_7890,plain,
    product(bigC(b,a,b),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),X_67),product(c,X_67)) )],[refute_0_7886,refute_0_7889]) ).

cnf(refute_0_7891,plain,
    product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,c,c),product(bigC(b,a,c),X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,c),product(bigC(b,a,c),X_67)))]]) ).

cnf(refute_0_7892,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(bigC(b,a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7893,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(bigC(b,a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) )],[refute_0_7891,refute_0_7892]) ).

cnf(refute_0_7894,plain,
    product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(bigC(b,a,c),X_67)),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_2750,refute_0_7893]) ).

cnf(refute_0_7895,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,c),X_67)) != product(bigC(b,a,b),product(c,X_67))
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) != product(bigC(b,a,b),product(bigC(b,a,c),X_67))
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,c),product(bigC(b,a,c),X_67)))),bind(Y,$fot(product(bigC(b,a,b),product(bigC(b,a,c),X_67)))),bind(Z,$fot(product(bigC(b,a,b),product(c,X_67))))]]) ).

cnf(refute_0_7896,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,c),X_67)) != product(bigC(b,a,b),product(c,X_67))
    | product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,c),X_67)),product(bigC(b,a,b),product(bigC(b,a,c),X_67))) )],[refute_0_7894,refute_0_7895]) ).

cnf(refute_0_7897,plain,
    product(bigC(b,c,c),product(bigC(b,a,c),X_67)) = product(bigC(b,a,b),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,c),X_67)),product(bigC(b,a,b),product(c,X_67))) )],[refute_0_7890,refute_0_7896]) ).

cnf(refute_0_7898,plain,
    ( product(bigC(b,c,c),product(bigC(b,a,c),X_67)) != product(bigC(b,a,b),product(c,X_67))
    | product(c,product(product(b,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(c,product(product(b,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) ),[1],$fot(product(bigC(b,a,b),product(c,X_67)))]]) ).

cnf(refute_0_7899,plain,
    ( product(c,product(product(b,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(c,product(product(b,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(bigC(b,a,c),X_67)),product(bigC(b,a,b),product(c,X_67))) )],[refute_0_7897,refute_0_7898]) ).

cnf(refute_0_7900,plain,
    ( product(bigC(b,a,c),product(product(b,c),X_67)) != product(bigC(b,c,c),product(bigC(b,a,c),X_67))
    | product(c,product(product(b,c),X_67)) = product(bigC(b,a,b),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) )],[refute_0_7882,refute_0_7899]) ).

cnf(refute_0_7901,plain,
    product(c,product(product(b,c),X_67)) = product(bigC(b,a,b),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(product(b,c),X_67)),product(bigC(b,c,c),product(bigC(b,a,c),X_67))) )],[refute_0_7876,refute_0_7900]) ).

cnf(refute_0_7902,plain,
    ( product(c,product(product(b,c),X_67)) != product(bigC(b,a,b),product(c,X_67))
    | product(bigC(b,a,b),product(c,X_67)) = product(c,product(product(b,c),X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(b,c),X_67)))),bind(Y,$fot(product(bigC(b,a,b),product(c,X_67))))]]) ).

cnf(refute_0_7903,plain,
    product(bigC(b,a,b),product(c,X_67)) = product(c,product(product(b,c),X_67)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),X_67)),product(bigC(b,a,b),product(c,X_67))) )],[refute_0_7901,refute_0_7902]) ).

cnf(refute_0_7904,plain,
    product(bigC(b,a,b),product(c,bigC(b,b,c))) = product(c,product(product(b,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_7903:[bind(X_67,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7905,plain,
    ( product(bigC(b,a,b),product(c,bigC(b,b,c))) != product(c,product(product(b,c),bigC(b,b,c)))
    | product(c,product(product(b,c),bigC(b,b,c))) != product(c,bigC(b,b,product(c,a)))
    | product(bigC(b,a,b),product(c,bigC(b,b,c))) = product(c,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(c,bigC(b,b,c))))),bind(Y,$fot(product(c,product(product(b,c),bigC(b,b,c))))),bind(Z,$fot(product(c,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_7906,plain,
    ( product(c,product(product(b,c),bigC(b,b,c))) != product(c,bigC(b,b,product(c,a)))
    | product(bigC(b,a,b),product(c,bigC(b,b,c))) = product(c,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,bigC(b,b,c))),product(c,product(product(b,c),bigC(b,b,c)))) )],[refute_0_7904,refute_0_7905]) ).

cnf(refute_0_7907,plain,
    product(bigC(b,a,b),product(c,bigC(b,b,c))) = product(c,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(b,b,c))),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7840,refute_0_7906]) ).

cnf(refute_0_7908,plain,
    ( product(bigC(b,a,b),product(c,bigC(b,b,c))) != bigC(c,product(c,b),bigC(b,a,b))
    | product(bigC(b,a,b),product(c,bigC(b,b,c))) != product(c,bigC(b,b,product(c,a)))
    | product(c,bigC(b,b,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(c,bigC(b,b,c))),bigC(c,product(c,b),bigC(b,a,b))) ),[0],$fot(product(c,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_7909,plain,
    ( product(bigC(b,a,b),product(c,bigC(b,b,c))) != bigC(c,product(c,b),bigC(b,a,b))
    | product(c,bigC(b,b,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,bigC(b,b,c))),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7907,refute_0_7908]) ).

cnf(refute_0_7910,plain,
    product(c,bigC(b,b,product(c,a))) = bigC(c,product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,bigC(b,b,c))),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7822,refute_0_7909]) ).

cnf(refute_0_7911,plain,
    ( product(c,bigC(b,b,product(c,a))) != bigC(c,product(c,b),bigC(b,a,b))
    | bigC(c,product(c,b),bigC(b,a,b)) = product(c,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(b,b,product(c,a))))),bind(Y,$fot(bigC(c,product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_7912,plain,
    bigC(c,product(c,b),bigC(b,a,b)) = product(c,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,product(c,a))),bigC(c,product(c,b),bigC(b,a,b))) )],[refute_0_7910,refute_0_7911]) ).

cnf(refute_0_7913,plain,
    ( bigC(c,product(c,b),bigC(b,a,b)) != product(c,bigC(b,b,product(c,a)))
    | bigC(c,product(c,b),bigC(b,a,b)) != product(product(c,product(c,b)),product(bigC(b,a,b),c))
    | product(c,bigC(b,b,product(c,a))) = product(product(c,product(c,b)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,b),bigC(b,a,b)),product(product(c,product(c,b)),product(bigC(b,a,b),c))) ),[0],$fot(product(c,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_7914,plain,
    ( bigC(c,product(c,b),bigC(b,a,b)) != product(product(c,product(c,b)),product(bigC(b,a,b),c))
    | product(c,bigC(b,b,product(c,a))) = product(product(c,product(c,b)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(b,a,b)),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7912,refute_0_7913]) ).

cnf(refute_0_7915,plain,
    product(c,bigC(b,b,product(c,a))) = product(product(c,product(c,b)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(b,a,b)),product(product(c,product(c,b)),product(bigC(b,a,b),c))) )],[refute_0_7665,refute_0_7914]) ).

cnf(refute_0_7916,plain,
    bigC(c,product(product(c,b),b),c) = product(product(c,product(product(c,b),b)),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7917,plain,
    ( bigC(c,product(product(c,b),b),c) != product(product(c,product(product(c,b),b)),c)
    | product(c,product(product(c,b),b)) != product(bigC(a,a,b),b)
    | bigC(c,product(product(c,b),b),c) = product(product(bigC(a,a,b),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(c,b),b),c),product(product(c,product(product(c,b),b)),c)) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7918,plain,
    ( bigC(c,product(product(c,b),b),c) != product(product(c,product(product(c,b),b)),c)
    | bigC(c,product(product(c,b),b),c) = product(product(bigC(a,a,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(bigC(a,a,b),b)) )],[refute_0_7512,refute_0_7917]) ).

cnf(refute_0_7919,plain,
    bigC(c,product(product(c,b),b),c) = product(product(bigC(a,a,b),b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),c),product(product(c,product(product(c,b),b)),c)) )],[refute_0_7916,refute_0_7918]) ).

cnf(refute_0_7920,plain,
    bigC(c,product(product(c,b),b),c) = bigC(c,c,product(product(c,b),b)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7921,plain,
    ( bigC(c,product(product(c,b),b),c) != bigC(c,c,product(product(c,b),b))
    | bigC(c,product(product(c,b),b),c) != product(product(bigC(a,a,b),b),c)
    | bigC(c,c,product(product(c,b),b)) = product(product(bigC(a,a,b),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(c,b),b),c),product(product(bigC(a,a,b),b),c)) ),[0],$fot(bigC(c,c,product(product(c,b),b)))]]) ).

cnf(refute_0_7922,plain,
    ( bigC(c,product(product(c,b),b),c) != product(product(bigC(a,a,b),b),c)
    | bigC(c,c,product(product(c,b),b)) = product(product(bigC(a,a,b),b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),c),bigC(c,c,product(product(c,b),b))) )],[refute_0_7920,refute_0_7921]) ).

cnf(refute_0_7923,plain,
    bigC(c,c,product(product(c,b),b)) = product(product(bigC(a,a,b),b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),c),product(product(bigC(a,a,b),b),c)) )],[refute_0_7919,refute_0_7922]) ).

cnf(refute_0_7924,plain,
    product(c,product(product(product(c,b),b),c)) = bigC(c,c,product(product(c,b),b)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7925,plain,
    ( bigC(c,c,product(product(c,b),b)) != product(product(bigC(a,a,b),b),c)
    | product(c,product(product(product(c,b),b),c)) != bigC(c,c,product(product(c,b),b))
    | product(c,product(product(product(c,b),b),c)) = product(product(bigC(a,a,b),b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(product(c,b),b),c)))),bind(Y,$fot(bigC(c,c,product(product(c,b),b)))),bind(Z,$fot(product(product(bigC(a,a,b),b),c)))]]) ).

cnf(refute_0_7926,plain,
    ( bigC(c,c,product(product(c,b),b)) != product(product(bigC(a,a,b),b),c)
    | product(c,product(product(product(c,b),b),c)) = product(product(bigC(a,a,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,b),b),c)),bigC(c,c,product(product(c,b),b))) )],[refute_0_7924,refute_0_7925]) ).

cnf(refute_0_7927,plain,
    product(c,product(product(product(c,b),b),c)) = product(product(bigC(a,a,b),b),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,b),b)),product(product(bigC(a,a,b),b),c)) )],[refute_0_7923,refute_0_7926]) ).

cnf(refute_0_7928,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,b)),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,product(c,b)))),bind(X_25,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7929,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != product(product(c,product(c,a)),b)
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,b)),X_26))) ),[1,0],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_7930,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,a)),b)) )],[refute_0_1355,refute_0_7929]) ).

cnf(refute_0_7931,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(product(c,product(c,b)),bigC(b,a,b)),product(product(c,product(c,b)),X_26))) )],[refute_0_7928,refute_0_7930]) ).

cnf(refute_0_7932,plain,
    product(product(c,a),product(c,b)) = product(c,product(a,b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_7933,plain,
    product(product(product(c,a),product(c,b)),X_26) = product(product(product(c,a),product(c,b)),X_26),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),product(c,b)),X_26))]]) ).

cnf(refute_0_7934,plain,
    ( product(product(c,a),product(c,b)) != product(c,product(a,b))
    | product(product(product(c,a),product(c,b)),X_26) != product(product(product(c,a),product(c,b)),X_26)
    | product(product(product(c,a),product(c,b)),X_26) = product(product(c,product(a,b)),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),product(c,b)),X_26),product(product(product(c,a),product(c,b)),X_26)) ),[1,0],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_7935,plain,
    ( product(product(c,a),product(c,b)) != product(c,product(a,b))
    | product(product(product(c,a),product(c,b)),X_26) = product(product(c,product(a,b)),X_26) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(c,b)),X_26),product(product(product(c,a),product(c,b)),X_26)) )],[refute_0_7933,refute_0_7934]) ).

cnf(refute_0_7936,plain,
    product(product(product(c,a),product(c,b)),X_26) = product(product(c,product(a,b)),X_26),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,b)),product(c,product(a,b))) )],[refute_0_7932,refute_0_7935]) ).

cnf(refute_0_7937,plain,
    product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) = product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(product(c,a),product(c,b)),X_26)))]]) ).

cnf(refute_0_7938,plain,
    ( product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) != product(product(c,b),product(product(product(c,a),product(c,b)),X_26))
    | product(product(product(c,a),product(c,b)),X_26) != product(product(c,product(a,b)),X_26)
    | product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),product(product(c,b),product(product(product(c,a),product(c,b)),X_26))) ),[1,1],$fot(product(product(c,product(a,b)),X_26))]]) ).

cnf(refute_0_7939,plain,
    ( product(product(product(c,a),product(c,b)),X_26) != product(product(c,product(a,b)),X_26)
    | product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),product(product(c,b),product(product(product(c,a),product(c,b)),X_26))) )],[refute_0_7937,refute_0_7938]) ).

cnf(refute_0_7940,plain,
    product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(c,b)),X_26),product(product(c,product(a,b)),X_26)) )],[refute_0_7936,refute_0_7939]) ).

cnf(refute_0_7941,plain,
    product(product(c,product(product(c,a),product(c,b))),product(b,X_26)) = product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(product(c,a),product(c,b)))),bind(D,$fot(X_26))]]) ).

cnf(refute_0_7942,plain,
    product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,product(product(c,a),product(c,b))),product(b,X_26)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(b)),bind(D,$fot(X_26)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a))),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_7943,plain,
    ( product(product(c,product(product(c,a),product(c,b))),product(b,X_26)) != product(product(c,b),product(product(product(c,a),product(c,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) != product(product(c,product(product(c,a),product(c,b))),product(b,X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)))),bind(Y,$fot(product(product(c,product(product(c,a),product(c,b))),product(b,X_26)))),bind(Z,$fot(product(product(c,b),product(product(product(c,a),product(c,b)),X_26))))]]) ).

cnf(refute_0_7944,plain,
    ( product(product(c,product(product(c,a),product(c,b))),product(b,X_26)) != product(product(c,b),product(product(product(c,a),product(c,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)),product(product(c,product(product(c,a),product(c,b))),product(b,X_26))) )],[refute_0_7942,refute_0_7943]) ).

cnf(refute_0_7945,plain,
    product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),product(c,b))),product(b,X_26)),product(product(c,b),product(product(product(c,a),product(c,b)),X_26))) )],[refute_0_7941,refute_0_7944]) ).

cnf(refute_0_7946,plain,
    ( product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) != product(product(c,b),product(product(c,product(a,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) != product(product(c,b),product(product(product(c,a),product(c,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)))),bind(Y,$fot(product(product(c,b),product(product(product(c,a),product(c,b)),X_26)))),bind(Z,$fot(product(product(c,b),product(product(c,product(a,b)),X_26))))]]) ).

cnf(refute_0_7947,plain,
    ( product(product(c,b),product(product(product(c,a),product(c,b)),X_26)) != product(product(c,b),product(product(c,product(a,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)),product(product(c,b),product(product(product(c,a),product(c,b)),X_26))) )],[refute_0_7945,refute_0_7946]) ).

cnf(refute_0_7948,plain,
    product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),product(c,b)),X_26)),product(product(c,b),product(product(c,product(a,b)),X_26))) )],[refute_0_7940,refute_0_7947]) ).

cnf(refute_0_7949,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26))
    | product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)) != product(product(c,b),product(product(c,product(a,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(c,b),product(product(c,product(a,b)),X_26))) ),[0],$fot(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)))]]) ).

cnf(refute_0_7950,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26)),product(product(c,b),product(product(c,product(a,b)),X_26))) )],[refute_0_7948,refute_0_7949]) ).

cnf(refute_0_7951,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(c,b),product(product(c,product(a,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(product(c,product(c,a)),b),product(product(c,product(c,b)),X_26))) )],[refute_0_7931,refute_0_7950]) ).

cnf(refute_0_7952,plain,
    product(product(bigC(c,a,c),c),product(b,X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(c,a,c))),bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_7953,plain,
    product(product(c,B),product(product(c,product(a,b)),D)) = product(product(c,product(c,product(a,b))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_7954,plain,
    ( product(c,product(c,product(a,b))) != product(bigC(c,a,c),c)
    | product(product(c,B),product(product(c,product(a,b)),D)) != product(product(c,product(c,product(a,b))),product(B,D))
    | product(product(c,B),product(product(c,product(a,b)),D)) = product(product(bigC(c,a,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(c,product(a,b)),D)),product(product(c,product(c,product(a,b))),product(B,D))) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_7955,plain,
    ( product(product(c,B),product(product(c,product(a,b)),D)) != product(product(c,product(c,product(a,b))),product(B,D))
    | product(product(c,B),product(product(c,product(a,b)),D)) = product(product(bigC(c,a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,b))),product(bigC(c,a,c),c)) )],[refute_0_3132,refute_0_7954]) ).

cnf(refute_0_7956,plain,
    product(product(c,B),product(product(c,product(a,b)),D)) = product(product(bigC(c,a,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,product(a,b)),D)),product(product(c,product(c,product(a,b))),product(B,D))) )],[refute_0_7953,refute_0_7955]) ).

cnf(refute_0_7957,plain,
    product(product(c,b),product(product(c,product(a,b)),X_26)) = product(product(bigC(c,a,c),c),product(b,X_26)),
    inference(subst,[],[refute_0_7956:[bind(B,$fot(b)),bind(D,$fot(X_26))]]) ).

cnf(refute_0_7958,plain,
    ( product(product(bigC(c,a,c),c),product(b,X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(c,b),product(product(c,product(a,b)),X_26)) != product(product(bigC(c,a,c),c),product(b,X_26))
    | product(product(c,b),product(product(c,product(a,b)),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(product(c,product(a,b)),X_26)))),bind(Y,$fot(product(product(bigC(c,a,c),c),product(b,X_26)))),bind(Z,$fot(product(product(bigC(c,a,c),b),product(c,X_26))))]]) ).

cnf(refute_0_7959,plain,
    ( product(product(bigC(c,a,c),c),product(b,X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(c,b),product(product(c,product(a,b)),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,product(a,b)),X_26)),product(product(bigC(c,a,c),c),product(b,X_26))) )],[refute_0_7957,refute_0_7958]) ).

cnf(refute_0_7960,plain,
    product(product(c,b),product(product(c,product(a,b)),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(b,X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) )],[refute_0_7952,refute_0_7959]) ).

cnf(refute_0_7961,plain,
    ( product(product(c,b),product(product(c,product(a,b)),X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(c,b),product(product(c,product(a,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(c,b),product(product(c,product(a,b)),X_26))) ),[1],$fot(product(product(bigC(c,a,c),b),product(c,X_26)))]]) ).

cnf(refute_0_7962,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(c,b),product(product(c,product(a,b)),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,product(a,b)),X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) )],[refute_0_7960,refute_0_7961]) ).

cnf(refute_0_7963,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(c,b),product(product(c,product(a,b)),X_26))) )],[refute_0_7951,refute_0_7962]) ).

cnf(refute_0_7964,plain,
    product(bigC(c,a,c),b) = product(bigC(c,a,c),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),b))]]) ).

cnf(refute_0_7965,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),b) != product(bigC(c,a,c),b)
    | product(bigC(c,a,c),b) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),b),product(bigC(c,a,c),b)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_7966,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),b) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),b),product(bigC(c,a,c),b)) )],[refute_0_7964,refute_0_7965]) ).

cnf(refute_0_7967,plain,
    product(bigC(c,a,c),b) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_7966]) ).

cnf(refute_0_7968,plain,
    product(product(bigC(c,a,c),b),product(c,X_26)) = product(product(bigC(c,a,c),b),product(c,X_26)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),b),product(c,X_26)))]]) ).

cnf(refute_0_7969,plain,
    ( product(bigC(c,a,c),b) != product(bigC(a,a,b),b)
    | product(product(bigC(c,a,c),b),product(c,X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(bigC(c,a,c),b),product(c,X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),b),product(c,X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7970,plain,
    ( product(bigC(c,a,c),b) != product(bigC(a,a,b),b)
    | product(product(bigC(c,a,c),b),product(c,X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),b),product(c,X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) )],[refute_0_7968,refute_0_7969]) ).

cnf(refute_0_7971,plain,
    product(product(bigC(c,a,c),b),product(c,X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),b),product(bigC(a,a,b),b)) )],[refute_0_7967,refute_0_7970]) ).

cnf(refute_0_7972,plain,
    ( product(product(bigC(c,a,c),b),product(c,X_26)) != product(product(bigC(a,a,b),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) ),[1],$fot(product(product(bigC(a,a,b),b),product(c,X_26)))]]) ).

cnf(refute_0_7973,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(bigC(c,a,c),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),b),product(c,X_26)),product(product(bigC(a,a,b),b),product(c,X_26))) )],[refute_0_7971,refute_0_7972]) ).

cnf(refute_0_7974,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(bigC(c,a,c),b),product(c,X_26))) )],[refute_0_7963,refute_0_7973]) ).

cnf(refute_0_7975,plain,
    product(c,product(product(product(c,b),b),X_26)) = product(product(c,product(product(c,b),b)),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7976,plain,
    ( product(c,product(product(c,b),b)) != product(bigC(a,a,b),b)
    | product(c,product(product(product(c,b),b),X_26)) != product(product(c,product(product(c,b),b)),product(c,X_26))
    | product(c,product(product(product(c,b),b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(c,b),b),X_26)),product(product(c,product(product(c,b),b)),product(c,X_26))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_7977,plain,
    ( product(c,product(product(product(c,b),b),X_26)) != product(product(c,product(product(c,b),b)),product(c,X_26))
    | product(c,product(product(product(c,b),b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(bigC(a,a,b),b)) )],[refute_0_7512,refute_0_7976]) ).

cnf(refute_0_7978,plain,
    product(c,product(product(product(c,b),b),X_26)) = product(product(bigC(a,a,b),b),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,b),b),X_26)),product(product(c,product(product(c,b),b)),product(c,X_26))) )],[refute_0_7975,refute_0_7977]) ).

cnf(refute_0_7979,plain,
    ( product(c,product(product(product(c,b),b),X_26)) != product(product(bigC(a,a,b),b),product(c,X_26))
    | product(product(bigC(a,a,b),b),product(c,X_26)) = product(c,product(product(product(c,b),b),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(product(c,b),b),X_26)))),bind(Y,$fot(product(product(bigC(a,a,b),b),product(c,X_26))))]]) ).

cnf(refute_0_7980,plain,
    product(product(bigC(a,a,b),b),product(c,X_26)) = product(c,product(product(product(c,b),b),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,b),b),X_26)),product(product(bigC(a,a,b),b),product(c,X_26))) )],[refute_0_7978,refute_0_7979]) ).

cnf(refute_0_7981,plain,
    ( product(product(bigC(a,a,b),b),product(c,X_26)) != product(c,product(product(product(c,b),b),X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(bigC(a,a,b),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(c,product(product(product(c,b),b),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(bigC(a,a,b),b),product(c,X_26))) ),[1],$fot(product(c,product(product(product(c,b),b),X_26)))]]) ).

cnf(refute_0_7982,plain,
    ( product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) != product(product(bigC(a,a,b),b),product(c,X_26))
    | product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(c,product(product(product(c,b),b),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(c,X_26)),product(c,product(product(product(c,b),b),X_26))) )],[refute_0_7980,refute_0_7981]) ).

cnf(refute_0_7983,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),X_26)) = product(c,product(product(product(c,b),b),X_26)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),X_26)),product(product(bigC(a,a,b),b),product(c,X_26))) )],[refute_0_7974,refute_0_7982]) ).

cnf(refute_0_7984,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),c)) = product(c,product(product(product(c,b),b),c)),
    inference(subst,[],[refute_0_7983:[bind(X_26,$fot(c))]]) ).

cnf(refute_0_7985,plain,
    ( product(c,product(product(product(c,b),b),c)) != product(product(bigC(a,a,b),b),c)
    | product(product(c,product(c,b)),product(bigC(b,a,b),c)) != product(c,product(product(product(c,b),b),c))
    | product(product(c,product(c,b)),product(bigC(b,a,b),c)) = product(product(bigC(a,a,b),b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(bigC(b,a,b),c)))),bind(Y,$fot(product(c,product(product(product(c,b),b),c)))),bind(Z,$fot(product(product(bigC(a,a,b),b),c)))]]) ).

cnf(refute_0_7986,plain,
    ( product(c,product(product(product(c,b),b),c)) != product(product(bigC(a,a,b),b),c)
    | product(product(c,product(c,b)),product(bigC(b,a,b),c)) = product(product(bigC(a,a,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),c)),product(c,product(product(product(c,b),b),c))) )],[refute_0_7984,refute_0_7985]) ).

cnf(refute_0_7987,plain,
    product(product(c,product(c,b)),product(bigC(b,a,b),c)) = product(product(bigC(a,a,b),b),c),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,b),b),c)),product(product(bigC(a,a,b),b),c)) )],[refute_0_7927,refute_0_7986]) ).

cnf(refute_0_7988,plain,
    ( product(c,bigC(b,b,product(c,a))) != product(product(c,product(c,b)),product(bigC(b,a,b),c))
    | product(product(c,product(c,b)),product(bigC(b,a,b),c)) != product(product(bigC(a,a,b),b),c)
    | product(c,bigC(b,b,product(c,a))) = product(product(bigC(a,a,b),b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(b,b,product(c,a))),product(product(bigC(a,a,b),b),c)) ),[0],$fot(product(product(c,product(c,b)),product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_7989,plain,
    ( product(c,bigC(b,b,product(c,a))) != product(product(c,product(c,b)),product(bigC(b,a,b),c))
    | product(c,bigC(b,b,product(c,a))) = product(product(bigC(a,a,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(bigC(b,a,b),c)),product(product(bigC(a,a,b),b),c)) )],[refute_0_7987,refute_0_7988]) ).

cnf(refute_0_7990,plain,
    product(c,bigC(b,b,product(c,a))) = product(product(bigC(a,a,b),b),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,product(c,a))),product(product(c,product(c,b)),product(bigC(b,a,b),c))) )],[refute_0_7915,refute_0_7989]) ).

cnf(refute_0_7991,plain,
    ( product(c,bigC(b,b,product(c,a))) != product(product(bigC(a,a,b),b),c)
    | product(product(bigC(a,a,b),b),c) = product(c,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(b,b,product(c,a))))),bind(Y,$fot(product(product(bigC(a,a,b),b),c)))]]) ).

cnf(refute_0_7992,plain,
    product(product(bigC(a,a,b),b),c) = product(c,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,product(c,a))),product(product(bigC(a,a,b),b),c)) )],[refute_0_7990,refute_0_7991]) ).

cnf(refute_0_7993,plain,
    ( product(product(bigC(a,a,b),b),c) != product(c,bigC(b,b,product(c,a)))
    | quotient(product(product(bigC(a,a,b),b),c),c) != product(bigC(a,a,b),b)
    | quotient(product(c,bigC(b,b,product(c,a))),c) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(a,a,b),b),c),c),product(bigC(a,a,b),b)) ),[0,0],$fot(product(c,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_7994,plain,
    ( quotient(product(product(bigC(a,a,b),b),c),c) != product(bigC(a,a,b),b)
    | quotient(product(c,bigC(b,b,product(c,a))),c) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),c),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7992,refute_0_7993]) ).

cnf(refute_0_7995,plain,
    quotient(product(c,bigC(b,b,product(c,a))),c) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(a,a,b),b),c),c),product(bigC(a,a,b),b)) )],[refute_0_7664,refute_0_7994]) ).

cnf(refute_0_7996,plain,
    quotient(product(c,bigC(b,b,product(c,a))),c) = product(c,quotient(bigC(b,b,product(c,a)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_7997,plain,
    ( quotient(product(c,bigC(b,b,product(c,a))),c) != product(bigC(a,a,b),b)
    | quotient(product(c,bigC(b,b,product(c,a))),c) != product(c,quotient(bigC(b,b,product(c,a)),c))
    | product(c,quotient(bigC(b,b,product(c,a)),c)) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,product(c,a))),c),product(bigC(a,a,b),b)) ),[0],$fot(product(c,quotient(bigC(b,b,product(c,a)),c)))]]) ).

cnf(refute_0_7998,plain,
    ( quotient(product(c,bigC(b,b,product(c,a))),c) != product(bigC(a,a,b),b)
    | product(c,quotient(bigC(b,b,product(c,a)),c)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,product(c,a))),c),product(c,quotient(bigC(b,b,product(c,a)),c))) )],[refute_0_7996,refute_0_7997]) ).

cnf(refute_0_7999,plain,
    product(c,quotient(bigC(b,b,product(c,a)),c)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,product(c,a))),c),product(bigC(a,a,b),b)) )],[refute_0_7995,refute_0_7998]) ).

cnf(refute_0_8000,plain,
    ( difference(c,product(c,quotient(bigC(b,b,product(c,a)),c))) != quotient(bigC(b,b,product(c,a)),c)
    | product(c,quotient(bigC(b,b,product(c,a)),c)) != product(bigC(a,a,b),b)
    | difference(c,product(bigC(a,a,b),b)) = quotient(bigC(b,b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(bigC(b,b,product(c,a)),c))),quotient(bigC(b,b,product(c,a)),c)) ),[0,1],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_8001,plain,
    ( difference(c,product(c,quotient(bigC(b,b,product(c,a)),c))) != quotient(bigC(b,b,product(c,a)),c)
    | difference(c,product(bigC(a,a,b),b)) = quotient(bigC(b,b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(b,b,product(c,a)),c)),product(bigC(a,a,b),b)) )],[refute_0_7999,refute_0_8000]) ).

cnf(refute_0_8002,plain,
    difference(c,product(bigC(a,a,b),b)) = quotient(bigC(b,b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(bigC(b,b,product(c,a)),c))),quotient(bigC(b,b,product(c,a)),c)) )],[refute_0_7663,refute_0_8001]) ).

cnf(refute_0_8003,plain,
    difference(c,product(c,product(product(c,b),b))) = product(product(c,b),b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_8004,plain,
    ( difference(c,product(c,product(product(c,b),b))) != product(product(c,b),b)
    | product(c,product(product(c,b),b)) != product(bigC(a,a,b),b)
    | difference(c,product(bigC(a,a,b),b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(product(c,b),b))),product(product(c,b),b)) ),[0,1],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_8005,plain,
    ( difference(c,product(c,product(product(c,b),b))) != product(product(c,b),b)
    | difference(c,product(bigC(a,a,b),b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(bigC(a,a,b),b)) )],[refute_0_7512,refute_0_8004]) ).

cnf(refute_0_8006,plain,
    difference(c,product(bigC(a,a,b),b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(product(c,b),b))),product(product(c,b),b)) )],[refute_0_8003,refute_0_8005]) ).

cnf(refute_0_8007,plain,
    ( difference(c,product(bigC(a,a,b),b)) != product(product(c,b),b)
    | difference(c,product(bigC(a,a,b),b)) != quotient(bigC(b,b,product(c,a)),c)
    | product(product(c,b),b) = quotient(bigC(b,b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(bigC(a,a,b),b)),quotient(bigC(b,b,product(c,a)),c)) ),[0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_8008,plain,
    ( difference(c,product(bigC(a,a,b),b)) != quotient(bigC(b,b,product(c,a)),c)
    | product(product(c,b),b) = quotient(bigC(b,b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(bigC(a,a,b),b)),product(product(c,b),b)) )],[refute_0_8006,refute_0_8007]) ).

cnf(refute_0_8009,plain,
    product(product(c,b),b) = quotient(bigC(b,b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(c,product(bigC(a,a,b),b)),quotient(bigC(b,b,product(c,a)),c)) )],[refute_0_8002,refute_0_8008]) ).

cnf(refute_0_8010,plain,
    ( product(product(c,b),b) != quotient(bigC(b,b,product(c,a)),c)
    | quotient(bigC(b,b,product(c,a)),c) = product(product(c,b),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,b),b))),bind(Y,$fot(quotient(bigC(b,b,product(c,a)),c)))]]) ).

cnf(refute_0_8011,plain,
    quotient(bigC(b,b,product(c,a)),c) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),b),quotient(bigC(b,b,product(c,a)),c)) )],[refute_0_8009,refute_0_8010]) ).

cnf(refute_0_8012,plain,
    ( product(quotient(bigC(b,b,product(c,a)),c),c) != bigC(b,b,product(c,a))
    | quotient(bigC(b,b,product(c,a)),c) != product(product(c,b),b)
    | product(product(product(c,b),b),c) = bigC(b,b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(bigC(b,b,product(c,a)),c),c),bigC(b,b,product(c,a))) ),[0,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_8013,plain,
    ( product(quotient(bigC(b,b,product(c,a)),c),c) != bigC(b,b,product(c,a))
    | product(product(product(c,b),b),c) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,product(c,a)),c),product(product(c,b),b)) )],[refute_0_8011,refute_0_8012]) ).

cnf(refute_0_8014,plain,
    product(product(product(c,b),b),c) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(b,b,product(c,a)),c),c),bigC(b,b,product(c,a))) )],[refute_0_7662,refute_0_8013]) ).

cnf(refute_0_8015,plain,
    ( product(product(product(c,b),b),c) != bigC(b,b,product(c,a))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),c))) != product(product(c,b),b)
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),c))),product(product(c,b),b)) ),[0,1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_8016,plain,
    ( product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),c))) != product(product(c,b),b)
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),c),bigC(b,b,product(c,a))) )],[refute_0_8014,refute_0_8015]) ).

cnf(refute_0_8017,plain,
    product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),c))),product(product(c,b),b)) )],[refute_0_7661,refute_0_8016]) ).

cnf(refute_0_8018,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(product(a,c),b),product(b,product(b,c))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(a,a,c),product(a,b)))),bind(Y,$fot(product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_8019,plain,
    product(product(product(a,c),b),product(b,product(b,c))) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_7660,refute_0_8018]) ).

cnf(refute_0_8020,plain,
    product(b,product(product(c,b),product(b,a))) = product(b,product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(b,product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_8021,plain,
    ( product(b,product(product(c,b),product(b,a))) != product(b,product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | product(b,product(product(c,b),product(b,a))) = product(b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(c,b),product(b,a))),product(b,product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_8022,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(b,product(product(c,b),product(b,a))) = product(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),product(b,a))),product(b,product(product(c,b),product(b,a)))) )],[refute_0_8020,refute_0_8021]) ).

cnf(refute_0_8023,plain,
    product(b,product(product(c,b),product(b,a))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2785,refute_0_8022]) ).

cnf(refute_0_8024,plain,
    product(bigC(b,b,c),product(b,product(b,a))) = product(b,product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(c)),bind(X_65,$fot(b)),bind(X_67,$fot(product(b,a)))]]) ).

cnf(refute_0_8025,plain,
    ( product(b,product(product(c,b),product(b,a))) != product(b,product(b,c))
    | product(bigC(b,b,c),product(b,product(b,a))) != product(b,product(product(c,b),product(b,a)))
    | product(bigC(b,b,c),product(b,product(b,a))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,c),product(b,product(b,a))))),bind(Y,$fot(product(b,product(product(c,b),product(b,a))))),bind(Z,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_8026,plain,
    ( product(b,product(product(c,b),product(b,a))) != product(b,product(b,c))
    | product(bigC(b,b,c),product(b,product(b,a))) = product(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(b,product(b,a))),product(b,product(product(c,b),product(b,a)))) )],[refute_0_8024,refute_0_8025]) ).

cnf(refute_0_8027,plain,
    product(bigC(b,b,c),product(b,product(b,a))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),product(b,a))),product(b,product(b,c))) )],[refute_0_8023,refute_0_8026]) ).

cnf(refute_0_8028,plain,
    product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))))]]) ).

cnf(refute_0_8029,plain,
    ( product(bigC(b,b,c),product(b,product(b,a))) != product(b,product(b,c))
    | product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a))))
    | product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a))))) ),[1,1],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_8030,plain,
    ( product(bigC(b,b,c),product(b,product(b,a))) != product(b,product(b,c))
    | product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a))))) )],[refute_0_8028,refute_0_8029]) ).

cnf(refute_0_8031,plain,
    product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(b,product(b,a))),product(b,product(b,c))) )],[refute_0_8027,refute_0_8030]) ).

cnf(refute_0_8032,plain,
    product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))))]]) ).

cnf(refute_0_8033,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a))))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a))))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_8034,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a))))) )],[refute_0_8032,refute_0_8033]) ).

cnf(refute_0_8035,plain,
    product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_1152,refute_0_8034]) ).

cnf(refute_0_8036,plain,
    ( product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a))))
    | product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))))),bind(Y,$fot(product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))))),bind(Z,$fot(product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_8037,plain,
    ( product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a))))) )],[refute_0_8035,refute_0_8036]) ).

cnf(refute_0_8038,plain,
    product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = product(product(product(a,c),b),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_8031,refute_0_8037]) ).

cnf(refute_0_8039,plain,
    ( product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(product(a,c),b),product(b,product(b,c))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))))),bind(Y,$fot(product(product(product(a,c),b),product(b,product(b,c))))),bind(Z,$fot(difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_8040,plain,
    ( product(product(product(a,c),b),product(b,product(b,c))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_8038,refute_0_8039]) ).

cnf(refute_0_8041,plain,
    product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(b,product(b,c))),difference(bigC(a,a,c),product(a,b))) )],[refute_0_8019,refute_0_8040]) ).

cnf(refute_0_8042,plain,
    product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) = product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),
    inference(subst,[],[refute_0_3493:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(b,b,c))),bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(b)),bind(X_26,$fot(product(b,a)))]]) ).

cnf(refute_0_8043,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) != product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a))))
    | product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))))),bind(Y,$fot(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))))),bind(Z,$fot(difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_8044,plain,
    ( product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))),product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a))))) )],[refute_0_8042,refute_0_8043]) ).

cnf(refute_0_8045,plain,
    product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(bigC(b,b,c),product(b,product(b,a)))),difference(bigC(a,a,c),product(a,b))) )],[refute_0_8041,refute_0_8044]) ).

cnf(refute_0_8046,plain,
    product(product(c,b),product(X_25,product(b,a))) = product(product(product(c,b),X_25),product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,b))),bind(X_26,$fot(product(b,a)))]]) ).

cnf(refute_0_8047,plain,
    ( product(product(c,b),product(X_25,product(b,a))) != product(product(product(c,b),X_25),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | product(product(c,b),product(X_25,product(b,a))) = product(product(product(c,b),X_25),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(X_25,product(b,a))),product(product(product(c,b),X_25),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_8048,plain,
    ( product(product(c,b),product(X_25,product(b,a))) != product(product(product(c,b),X_25),product(product(c,b),product(b,a)))
    | product(product(c,b),product(X_25,product(b,a))) = product(product(product(c,b),X_25),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2785,refute_0_8047]) ).

cnf(refute_0_8049,plain,
    product(product(c,b),product(X_25,product(b,a))) = product(product(product(c,b),X_25),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(b,a))),product(product(product(c,b),X_25),product(product(c,b),product(b,a)))) )],[refute_0_8046,refute_0_8048]) ).

cnf(refute_0_8050,plain,
    ( product(product(c,b),product(X_25,product(b,a))) != product(product(product(c,b),X_25),product(b,c))
    | product(product(product(c,b),X_25),product(b,c)) = product(product(c,b),product(X_25,product(b,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,b),product(X_25,product(b,a))))),bind(Y,$fot(product(product(product(c,b),X_25),product(b,c))))]]) ).

cnf(refute_0_8051,plain,
    product(product(product(c,b),X_25),product(b,c)) = product(product(c,b),product(X_25,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_25,product(b,a))),product(product(product(c,b),X_25),product(b,c))) )],[refute_0_8049,refute_0_8050]) ).

cnf(refute_0_8052,plain,
    product(product(product(c,b),b),product(b,c)) = product(product(c,b),product(b,product(b,a))),
    inference(subst,[],[refute_0_8051:[bind(X_25,$fot(b))]]) ).

cnf(refute_0_8053,plain,
    product(product(product(c,b),b),product(X_25,c)) = product(product(product(product(c,b),b),X_25),product(product(product(c,b),b),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(c,b),b))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_8054,plain,
    ( product(product(product(c,b),b),c) != bigC(b,b,product(c,a))
    | product(product(product(c,b),b),product(X_25,c)) != product(product(product(product(c,b),b),X_25),product(product(product(c,b),b),c))
    | product(product(product(c,b),b),product(X_25,c)) = product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),product(X_25,c)),product(product(product(product(c,b),b),X_25),product(product(product(c,b),b),c))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_8055,plain,
    ( product(product(product(c,b),b),product(X_25,c)) != product(product(product(product(c,b),b),X_25),product(product(product(c,b),b),c))
    | product(product(product(c,b),b),product(X_25,c)) = product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),c),bigC(b,b,product(c,a))) )],[refute_0_8014,refute_0_8054]) ).

cnf(refute_0_8056,plain,
    product(product(product(c,b),b),product(X_25,c)) = product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(X_25,c)),product(product(product(product(c,b),b),X_25),product(product(product(c,b),b),c))) )],[refute_0_8053,refute_0_8055]) ).

cnf(refute_0_8057,plain,
    ( product(product(product(c,b),b),product(X_25,c)) != product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a)))
    | product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a))) = product(product(product(c,b),b),product(X_25,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(product(c,b),b),product(X_25,c)))),bind(Y,$fot(product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_8058,plain,
    product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a))) = product(product(product(c,b),b),product(X_25,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(X_25,c)),product(product(product(product(c,b),b),X_25),bigC(b,b,product(c,a)))) )],[refute_0_8056,refute_0_8057]) ).

cnf(refute_0_8059,plain,
    product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) = product(product(product(c,b),b),product(b,c)),
    inference(subst,[],[refute_0_8058:[bind(X_25,$fot(b))]]) ).

cnf(refute_0_8060,plain,
    ( product(product(product(c,b),b),product(b,c)) != product(product(c,b),product(b,product(b,a)))
    | product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) != product(product(product(c,b),b),product(b,c))
    | product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) = product(product(c,b),product(b,product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))),bind(Y,$fot(product(product(product(c,b),b),product(b,c)))),bind(Z,$fot(product(product(c,b),product(b,product(b,a)))))]]) ).

cnf(refute_0_8061,plain,
    ( product(product(product(c,b),b),product(b,c)) != product(product(c,b),product(b,product(b,a)))
    | product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) = product(product(c,b),product(b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))),product(product(product(c,b),b),product(b,c))) )],[refute_0_8059,refute_0_8060]) ).

cnf(refute_0_8062,plain,
    product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) = product(product(c,b),product(b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(b,c)),product(product(c,b),product(b,product(b,a)))) )],[refute_0_8052,refute_0_8061]) ).

cnf(refute_0_8063,plain,
    product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_8064,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) != product(product(c,b),product(b,product(b,a)))
    | product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) ),[1,1],$fot(product(product(c,b),product(b,product(b,a))))]]) ).

cnf(refute_0_8065,plain,
    ( product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))) != product(product(c,b),product(b,product(b,a)))
    | product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) )],[refute_0_8063,refute_0_8064]) ).

cnf(refute_0_8066,plain,
    product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))),product(product(c,b),product(b,product(b,a)))) )],[refute_0_8062,refute_0_8065]) ).

cnf(refute_0_8067,plain,
    quotient(product(bigC(c,b,b),bigC(a,a,b)),bigC(a,a,b)) = bigC(c,b,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(c,b,b))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8068,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(product(b,product(a,c)),c))) = product(b,product(a,c)),
    inference(subst,[],[refute_0_11:[bind(A,$fot(c)),bind(B,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_8069,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(product(b,product(a,c)),c))) != product(b,product(a,c))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(product(b,product(a,c)),c))),product(b,product(a,c))) ),[0,1,1],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_8070,plain,
    ( product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(product(b,product(a,c)),c))) != product(b,product(a,c))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),product(c,product(c,product(c,a)))) )],[refute_0_3554,refute_0_8069]) ).

cnf(refute_0_8071,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(product(b,product(a,c)),c))),product(b,product(a,c))) )],[refute_0_8068,refute_0_8070]) ).

cnf(refute_0_8072,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),b))) = product(c,a),
    inference(subst,[],[refute_0_11:[bind(A,$fot(b)),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_8073,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),b))) != product(c,a)
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),b))),product(c,a)) ),[0,1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8074,plain,
    ( product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),b))) != product(c,a)
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_8073]) ).

cnf(refute_0_8075,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),b))),product(c,a)) )],[refute_0_8072,refute_0_8074]) ).

cnf(refute_0_8076,plain,
    product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),
    inference(subst,[],[refute_0_3331:[bind(A,$fot(product(b,c))),bind(C,$fot(c)),bind(X_23,$fot(product(c,a))),bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_8077,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) = product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(c)),bind(D,$fot(a)),bind(X_44,$fot(product(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_8078,plain,
    ( product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) != product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))))),bind(Y,$fot(product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))))),bind(Z,$fot(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))))]]) ).

cnf(refute_0_8079,plain,
    ( product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))),product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b))))) )],[refute_0_8077,refute_0_8078]) ).

cnf(refute_0_8080,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,a),a)),product(c,product(a,product(c,b)))),product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))) )],[refute_0_8076,refute_0_8079]) ).

cnf(refute_0_8081,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(product(b,product(c,a)))),bind(C,$fot(product(c,a))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_8082,plain,
    ( product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) != product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))))),bind(Y,$fot(product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))))),bind(Z,$fot(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))))]]) ).

cnf(refute_0_8083,plain,
    ( product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))),product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b))))) )],[refute_0_8081,refute_0_8082]) ).

cnf(refute_0_8084,plain,
    product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(c,product(a,product(c,b)))),product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))) )],[refute_0_8080,refute_0_8083]) ).

cnf(refute_0_8085,plain,
    ( product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) != product(c,a)
    | product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))),product(c,a)) ),[0],$fot(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))))]]) ).

cnf(refute_0_8086,plain,
    ( product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))) != product(c,a)
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))),product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))) )],[refute_0_8084,refute_0_8085]) ).

cnf(refute_0_8087,plain,
    product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,a)),product(product(c,a),product(c,product(c,b)))),product(c,a)) )],[refute_0_8075,refute_0_8086]) ).

cnf(refute_0_8088,plain,
    product(bigC(a,a,b),product(a,product(c,b))) = product(product(c,a),product(a,b)),
    inference(subst,[],[refute_0_7594:[bind(X_25,$fot(a))]]) ).

cnf(refute_0_8089,plain,
    ( product(bigC(a,a,b),product(a,product(c,b))) != product(product(c,a),product(a,b))
    | product(product(c,a),product(a,b)) != product(a,c)
    | product(bigC(a,a,b),product(a,product(c,b))) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(a,product(c,b))))),bind(Y,$fot(product(product(c,a),product(a,b)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_8090,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | product(bigC(a,a,b),product(a,product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(c,b))),product(product(c,a),product(a,b))) )],[refute_0_8088,refute_0_8089]) ).

cnf(refute_0_8091,plain,
    product(bigC(a,a,b),product(a,product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_2262,refute_0_8090]) ).

cnf(refute_0_8092,plain,
    product(bigC(c,a,c),product(a,product(c,b))) = product(bigC(c,a,c),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_8093,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(a,product(c,b))) != product(bigC(c,a,c),product(a,product(c,b)))
    | product(bigC(c,a,c),product(a,product(c,b))) = product(bigC(a,a,b),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(a,product(c,b))),product(bigC(c,a,c),product(a,product(c,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8094,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(a,product(c,b))) = product(bigC(a,a,b),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(a,product(c,b))),product(bigC(c,a,c),product(a,product(c,b)))) )],[refute_0_8092,refute_0_8093]) ).

cnf(refute_0_8095,plain,
    product(bigC(c,a,c),product(a,product(c,b))) = product(bigC(a,a,b),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_8094]) ).

cnf(refute_0_8096,plain,
    ( product(bigC(a,a,b),product(a,product(c,b))) != product(a,c)
    | product(bigC(c,a,c),product(a,product(c,b))) != product(bigC(a,a,b),product(a,product(c,b)))
    | product(bigC(c,a,c),product(a,product(c,b))) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,c),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,a,b),product(a,product(c,b))))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_8097,plain,
    ( product(bigC(a,a,b),product(a,product(c,b))) != product(a,c)
    | product(bigC(c,a,c),product(a,product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(a,product(c,b))),product(bigC(a,a,b),product(a,product(c,b)))) )],[refute_0_8095,refute_0_8096]) ).

cnf(refute_0_8098,plain,
    product(bigC(c,a,c),product(a,product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(c,b))),product(a,c)) )],[refute_0_8091,refute_0_8097]) ).

cnf(refute_0_8099,plain,
    product(product(product(c,a),a),product(c,product(c,b))) = product(bigC(c,a,c),product(a,product(c,b))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_8100,plain,
    ( product(bigC(c,a,c),product(a,product(c,b))) != product(a,c)
    | product(product(product(c,a),a),product(c,product(c,b))) != product(bigC(c,a,c),product(a,product(c,b)))
    | product(product(product(c,a),a),product(c,product(c,b))) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),a),product(c,product(c,b))))),bind(Y,$fot(product(bigC(c,a,c),product(a,product(c,b))))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_8101,plain,
    ( product(bigC(c,a,c),product(a,product(c,b))) != product(a,c)
    | product(product(product(c,a),a),product(c,product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(c,product(c,b))),product(bigC(c,a,c),product(a,product(c,b)))) )],[refute_0_8099,refute_0_8100]) ).

cnf(refute_0_8102,plain,
    product(product(product(c,a),a),product(c,product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(a,product(c,b))),product(a,c)) )],[refute_0_8098,refute_0_8101]) ).

cnf(refute_0_8103,plain,
    product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) = product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))))]]) ).

cnf(refute_0_8104,plain,
    ( product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) != product(product(b,a),product(product(product(c,a),a),product(c,product(c,b))))
    | product(product(product(c,a),a),product(c,product(c,b))) != product(a,c)
    | product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) = product(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))),product(product(b,a),product(product(product(c,a),a),product(c,product(c,b))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_8105,plain,
    ( product(product(product(c,a),a),product(c,product(c,b))) != product(a,c)
    | product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))),product(product(b,a),product(product(product(c,a),a),product(c,product(c,b))))) )],[refute_0_8103,refute_0_8104]) ).

cnf(refute_0_8106,plain,
    product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(c,product(c,b))),product(a,c)) )],[refute_0_8102,refute_0_8105]) ).

cnf(refute_0_8107,plain,
    product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,C),product(a,product(product(c,a),b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(a)),bind(D,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_8108,plain,
    ( product(a,product(product(c,a),b)) != product(a,product(c,product(c,b)))
    | product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,C),product(a,product(product(c,a),b)))
    | product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,C),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,C),product(a,product(product(c,a),b)))) ),[1,1],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_8109,plain,
    ( product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,C),product(a,product(product(c,a),b)))
    | product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,C),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,a),b)),product(a,product(c,product(c,b)))) )],[refute_0_751,refute_0_8108]) ).

cnf(refute_0_8110,plain,
    product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,C),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,C),product(a,product(product(c,a),b)))) )],[refute_0_8107,refute_0_8109]) ).

cnf(refute_0_8111,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_8112,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_8113,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_8111,refute_0_8112]) ).

cnf(refute_0_8114,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_760,refute_0_8113]) ).

cnf(refute_0_8115,plain,
    product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,a),product(C,product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(product(c,a),b))))]]) ).

cnf(refute_0_8116,plain,
    ( product(C,product(product(c,a),b)) != product(C,product(c,product(c,b)))
    | product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,a),product(C,product(product(c,a),b)))
    | product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,a),product(C,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,a),product(C,product(product(c,a),b)))) ),[1,1],$fot(product(C,product(c,product(c,b))))]]) ).

cnf(refute_0_8117,plain,
    ( product(C,product(product(c,a),b)) != product(C,product(c,product(c,b)))
    | product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,a),product(C,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,a),product(C,product(product(c,a),b)))) )],[refute_0_8115,refute_0_8116]) ).

cnf(refute_0_8118,plain,
    product(product(A,a),product(C,product(product(c,a),b))) = product(product(A,a),product(C,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(C,product(product(c,a),b)),product(C,product(c,product(c,b)))) )],[refute_0_8114,refute_0_8117]) ).

cnf(refute_0_8119,plain,
    ( product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,C),product(a,product(c,product(c,b))))
    | product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,a),product(C,product(c,product(c,b))))
    | product(product(A,a),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,C),product(a,product(c,product(c,b))))) ),[0],$fot(product(product(A,a),product(C,product(c,product(c,b)))))]]) ).

cnf(refute_0_8120,plain,
    ( product(product(A,a),product(C,product(product(c,a),b))) != product(product(A,C),product(a,product(c,product(c,b))))
    | product(product(A,a),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,a),product(C,product(c,product(c,b))))) )],[refute_0_8118,refute_0_8119]) ).

cnf(refute_0_8121,plain,
    product(product(A,a),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(c,a),b))),product(product(A,C),product(a,product(c,product(c,b))))) )],[refute_0_8110,refute_0_8120]) ).

cnf(refute_0_8122,plain,
    ( product(product(A,a),product(C,product(c,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(product(A,a),product(C,product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,a),product(C,product(c,product(c,b)))))),bind(Y,$fot(product(product(A,C),product(a,product(c,product(c,b))))))]]) ).

cnf(refute_0_8123,plain,
    product(product(A,C),product(a,product(c,product(c,b)))) = product(product(A,a),product(C,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(c,product(c,b)))),product(product(A,C),product(a,product(c,product(c,b))))) )],[refute_0_8121,refute_0_8122]) ).

cnf(refute_0_8124,plain,
    product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) = product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))),
    inference(subst,[],[refute_0_8123:[bind(A,$fot(b)),bind(C,$fot(product(product(c,a),a)))]]) ).

cnf(refute_0_8125,plain,
    ( product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) != product(product(b,a),product(product(product(c,a),a),product(c,product(c,b))))
    | product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))))),bind(Y,$fot(product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))))),bind(Z,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_8126,plain,
    ( product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))),product(product(b,a),product(product(product(c,a),a),product(c,product(c,b))))) )],[refute_0_8124,refute_0_8125]) ).

cnf(refute_0_8127,plain,
    product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(product(c,a),a),product(c,product(c,b)))),product(product(b,a),product(a,c))) )],[refute_0_8106,refute_0_8126]) ).

cnf(refute_0_8128,plain,
    product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(b)),bind(C,$fot(product(product(c,a),a))),bind(X_65,$fot(a)),bind(X_66,$fot(c)),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_8129,plain,
    ( product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b))))
    | product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))))),bind(Y,$fot(product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))))),bind(Z,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_8130,plain,
    ( product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))),product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b))))) )],[refute_0_8128,refute_0_8129]) ).

cnf(refute_0_8131,plain,
    product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(c,a),a)),product(a,product(c,product(c,b)))),product(product(b,a),product(a,c))) )],[refute_0_8127,refute_0_8130]) ).

cnf(refute_0_8132,plain,
    product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))))]]) ).

cnf(refute_0_8133,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_8134,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b))))) )],[refute_0_8132,refute_0_8133]) ).

cnf(refute_0_8135,plain,
    product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_8134]) ).

cnf(refute_0_8136,plain,
    ( product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b))))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))))),bind(Y,$fot(product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))))),bind(Z,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_8137,plain,
    ( product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b))))) )],[refute_0_8135,refute_0_8136]) ).

cnf(refute_0_8138,plain,
    product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(product(c,a),a),product(a,product(c,b)))),product(product(b,a),product(a,c))) )],[refute_0_8131,refute_0_8137]) ).

cnf(refute_0_8139,plain,
    ( product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) != product(c,a)
    | product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) != product(product(b,a),product(a,c))
    | product(product(b,a),product(a,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(c,a)) ),[0],$fot(product(product(b,a),product(a,c)))]]) ).

cnf(refute_0_8140,plain,
    ( product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))) != product(c,a)
    | product(product(b,a),product(a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(product(b,a),product(a,c))) )],[refute_0_8138,refute_0_8139]) ).

cnf(refute_0_8141,plain,
    product(product(b,a),product(a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(product(c,a),a),product(a,product(c,b)))),product(c,a)) )],[refute_0_8087,refute_0_8140]) ).

cnf(refute_0_8142,plain,
    product(product(product(b,a),product(a,c)),c) = product(product(product(b,a),product(a,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),product(a,c)),c))]]) ).

cnf(refute_0_8143,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(product(product(b,a),product(a,c)),c) != product(product(product(b,a),product(a,c)),c)
    | product(product(product(b,a),product(a,c)),c) = product(product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),product(a,c)),c),product(product(product(b,a),product(a,c)),c)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8144,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(product(product(b,a),product(a,c)),c) = product(product(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),c),product(product(product(b,a),product(a,c)),c)) )],[refute_0_8142,refute_0_8143]) ).

cnf(refute_0_8145,plain,
    product(product(product(b,a),product(a,c)),c) = product(product(c,a),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_8141,refute_0_8144]) ).

cnf(refute_0_8146,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | product(product(product(b,a),product(a,c)),c) != product(product(c,a),c)
    | product(product(product(b,a),product(a,c)),c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,a),product(a,c)),c))),bind(Y,$fot(product(product(c,a),c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8147,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | product(product(product(b,a),product(a,c)),c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),c),product(product(c,a),c)) )],[refute_0_8145,refute_0_8146]) ).

cnf(refute_0_8148,plain,
    product(product(product(b,a),product(a,c)),c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_8147]) ).

cnf(refute_0_8149,plain,
    product(product(X_23,X_24),product(product(product(A,B),B),product(B,product(B,A)))) = product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))),
    inference(subst,[],[refute_0_27:[bind(A,$fot(X_23)),bind(B,$fot(X_24)),bind(C,$fot(product(product(A,B),B))),bind(D,$fot(product(B,product(B,A))))]]) ).

cnf(refute_0_8150,plain,
    ( product(product(X_23,X_24),product(product(product(A,B),B),product(B,product(B,A)))) != product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))
    | product(product(product(A,B),B),product(B,product(B,A))) != B
    | product(product(X_23,X_24),B) = product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,X_24),product(product(product(A,B),B),product(B,product(B,A)))),product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))) ),[0,1],$fot(B)]]) ).

cnf(refute_0_8151,plain,
    ( product(product(X_23,X_24),product(product(product(A,B),B),product(B,product(B,A)))) != product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))
    | product(product(X_23,X_24),B) = product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),B),product(B,product(B,A))),B) )],[refute_0_11,refute_0_8150]) ).

cnf(refute_0_8152,plain,
    product(product(X_23,X_24),B) = product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),product(product(product(A,B),B),product(B,product(B,A)))),product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))) )],[refute_0_8149,refute_0_8151]) ).

cnf(refute_0_8153,plain,
    ( product(product(X_23,X_24),B) != product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))
    | product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))) = product(product(X_23,X_24),B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,X_24),B))),bind(Y,$fot(product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))))]]) ).

cnf(refute_0_8154,plain,
    product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A)))) = product(product(X_23,X_24),B),
    inference(resolve,[$cnf( $equal(product(product(X_23,X_24),B),product(product(X_23,product(product(A,B),B)),product(X_24,product(B,product(B,A))))) )],[refute_0_8152,refute_0_8153]) ).

cnf(refute_0_8155,plain,
    product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))) = product(product(product(b,a),product(a,c)),c),
    inference(subst,[],[refute_0_8154:[bind(A,$fot(a)),bind(B,$fot(c)),bind(X_23,$fot(product(b,a))),bind(X_24,$fot(product(a,c)))]]) ).

cnf(refute_0_8156,plain,
    product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(b)),bind(B,$fot(product(a,c))),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_44,$fot(product(product(a,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_8157,plain,
    ( product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))) != product(product(product(b,a),product(a,c)),c)
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) != product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a))))
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = product(product(product(b,a),product(a,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))),bind(Y,$fot(product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))))),bind(Z,$fot(product(product(product(b,a),product(a,c)),c)))]]) ).

cnf(refute_0_8158,plain,
    ( product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))) != product(product(product(b,a),product(a,c)),c)
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = product(product(product(b,a),product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))),product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a))))) )],[refute_0_8156,refute_0_8157]) ).

cnf(refute_0_8159,plain,
    product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = product(product(product(b,a),product(a,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(product(a,c),c)),product(product(a,c),product(c,product(c,a)))),product(product(product(b,a),product(a,c)),c)) )],[refute_0_8155,refute_0_8158]) ).

cnf(refute_0_8160,plain,
    ( product(product(product(b,a),product(a,c)),c) != bigC(a,a,b)
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) != product(product(product(b,a),product(a,c)),c)
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))),bind(Y,$fot(product(product(product(b,a),product(a,c)),c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8161,plain,
    ( product(product(product(b,a),product(a,c)),c) != bigC(a,a,b)
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))),product(product(product(b,a),product(a,c)),c)) )],[refute_0_8159,refute_0_8160]) ).

cnf(refute_0_8162,plain,
    product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),c),bigC(a,a,b)) )],[refute_0_8148,refute_0_8161]) ).

cnf(refute_0_8163,plain,
    product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))))]]) ).

cnf(refute_0_8164,plain,
    ( product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) != bigC(a,a,b)
    | product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8165,plain,
    ( product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))) != bigC(a,a,b)
    | product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8163,refute_0_8164]) ).

cnf(refute_0_8166,plain,
    product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))),bigC(a,a,b)) )],[refute_0_8162,refute_0_8165]) ).

cnf(refute_0_8167,plain,
    product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),
    inference(subst,[],[refute_0_806:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b)),bind(X_25,$fot(product(product(b,product(a,c)),product(a,c)))),bind(X_26,$fot(product(product(a,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_8168,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) = product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(c)),bind(B,$fot(product(b,product(a,c)))),bind(C,$fot(b)),bind(D,$fot(product(a,c))),bind(X_44,$fot(product(product(b,c),product(product(a,c),product(c,product(c,a))))))]]) ).

cnf(refute_0_8169,plain,
    ( product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) != product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))))),bind(Y,$fot(product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))))),bind(Z,$fot(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))))]]) ).

cnf(refute_0_8170,plain,
    ( product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))),product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8168,refute_0_8169]) ).

cnf(refute_0_8171,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(b,product(a,c)),product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))),product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8167,refute_0_8170]) ).

cnf(refute_0_8172,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(a,c))),bind(D,$fot(product(c,product(c,a)))),bind(X_65,$fot(product(product(c,product(b,product(a,c))),product(b,product(a,c)))))]]) ).

cnf(refute_0_8173,plain,
    ( product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) != product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))))),bind(Y,$fot(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))))),bind(Z,$fot(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))))]]) ).

cnf(refute_0_8174,plain,
    ( product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))),product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8172,refute_0_8173]) ).

cnf(refute_0_8175,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,c),product(product(a,c),product(c,product(c,a))))),product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8171,refute_0_8174]) ).

cnf(refute_0_8176,plain,
    ( product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),bigC(a,a,b))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) != product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))))),bind(Y,$fot(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))))),bind(Z,$fot(product(bigC(c,b,b),bigC(a,a,b))))]]) ).

cnf(refute_0_8177,plain,
    ( product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))) != product(bigC(c,b,b),bigC(a,a,b))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))),product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a)))))) )],[refute_0_8175,refute_0_8176]) ).

cnf(refute_0_8178,plain,
    product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) = product(bigC(c,b,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(product(b,product(a,c)),product(a,c)),product(product(a,c),product(c,product(c,a))))),product(bigC(c,b,b),bigC(a,a,b))) )],[refute_0_8166,refute_0_8177]) ).

cnf(refute_0_8179,plain,
    ( product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) != product(b,product(a,c))
    | product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) != product(bigC(c,b,b),bigC(a,a,b))
    | product(bigC(c,b,b),bigC(a,a,b)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))),product(b,product(a,c))) ),[0],$fot(product(bigC(c,b,b),bigC(a,a,b)))]]) ).

cnf(refute_0_8180,plain,
    ( product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))) != product(b,product(a,c))
    | product(bigC(c,b,b),bigC(a,a,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))),product(bigC(c,b,b),bigC(a,a,b))) )],[refute_0_8178,refute_0_8179]) ).

cnf(refute_0_8181,plain,
    product(bigC(c,b,b),bigC(a,a,b)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,product(a,c)),product(c,product(c,product(c,a))))),product(b,product(a,c))) )],[refute_0_8071,refute_0_8180]) ).

cnf(refute_0_8182,plain,
    ( product(bigC(c,b,b),bigC(a,a,b)) != product(b,product(a,c))
    | quotient(product(bigC(c,b,b),bigC(a,a,b)),bigC(a,a,b)) != bigC(c,b,b)
    | quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,b),bigC(a,a,b)),bigC(a,a,b)),bigC(c,b,b)) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_8183,plain,
    ( quotient(product(bigC(c,b,b),bigC(a,a,b)),bigC(a,a,b)) != bigC(c,b,b)
    | quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_8181,refute_0_8182]) ).

cnf(refute_0_8184,plain,
    quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,b),bigC(a,a,b)),bigC(a,a,b)),bigC(c,b,b)) )],[refute_0_8067,refute_0_8183]) ).

cnf(refute_0_8185,plain,
    quotient(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = bigC(b,b,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_8186,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),bigC(c,a,b))
    | quotient(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),bigC(b,b,c)) ),[0,0],$fot(difference(bigC(c,a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_8187,plain,
    ( quotient(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),difference(bigC(c,a,c),bigC(c,a,b))) )],[refute_0_4854,refute_0_8186]) ).

cnf(refute_0_8188,plain,
    quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),bigC(b,b,c)) )],[refute_0_8185,refute_0_8187]) ).

cnf(refute_0_8189,plain,
    quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)))]]) ).

cnf(refute_0_8190,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c))
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c))) ),[1,0],$fot(difference(bigC(c,a,c),c))]]) ).

cnf(refute_0_8191,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_8189,refute_0_8190]) ).

cnf(refute_0_8192,plain,
    quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),c)) )],[refute_0_2876,refute_0_8191]) ).

cnf(refute_0_8193,plain,
    ( quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != quotient(difference(bigC(c,a,c),c),bigC(c,a,c))
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),bigC(b,b,c)) ),[0],$fot(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_8194,plain,
    ( quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),quotient(difference(bigC(c,a,c),c),bigC(c,a,c))) )],[refute_0_8192,refute_0_8193]) ).

cnf(refute_0_8195,plain,
    quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),bigC(b,b,c)) )],[refute_0_8188,refute_0_8194]) ).

cnf(refute_0_8196,plain,
    quotient(product(product(b,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(b,c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_8197,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(product(product(b,c),c),bigC(c,a,c)) != quotient(product(product(b,c),c),bigC(c,a,c))
    | quotient(product(product(b,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),c),bigC(c,a,c)),quotient(product(product(b,c),c),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8198,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(product(product(b,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),bigC(c,a,c)),quotient(product(product(b,c),c),bigC(c,a,c))) )],[refute_0_8196,refute_0_8197]) ).

cnf(refute_0_8199,plain,
    quotient(product(product(b,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_8198]) ).

cnf(refute_0_8200,plain,
    quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_8201,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) != quotient(difference(bigC(c,a,c),c),bigC(c,a,c))
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),quotient(difference(bigC(c,a,c),c),bigC(c,a,c))) ),[1,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_8202,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),quotient(difference(bigC(c,a,c),c),bigC(c,a,c))) )],[refute_0_8200,refute_0_8201]) ).

cnf(refute_0_8203,plain,
    quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_8202]) ).

cnf(refute_0_8204,plain,
    ( quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) != quotient(product(product(b,c),c),bigC(c,a,c))
    | quotient(product(product(b,c),c),bigC(c,a,c)) != quotient(product(product(b,c),c),bigC(a,a,b))
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)))),bind(Y,$fot(quotient(product(product(b,c),c),bigC(c,a,c)))),bind(Z,$fot(quotient(product(product(b,c),c),bigC(a,a,b))))]]) ).

cnf(refute_0_8205,plain,
    ( quotient(product(product(b,c),c),bigC(c,a,c)) != quotient(product(product(b,c),c),bigC(a,a,b))
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),quotient(product(product(b,c),c),bigC(c,a,c))) )],[refute_0_8203,refute_0_8204]) ).

cnf(refute_0_8206,plain,
    quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) = quotient(product(product(b,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),bigC(c,a,c)),quotient(product(product(b,c),c),bigC(a,a,b))) )],[refute_0_8199,refute_0_8205]) ).

cnf(refute_0_8207,plain,
    ( quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) != quotient(product(product(b,c),c),bigC(a,a,b))
    | quotient(product(product(b,c),c),bigC(a,a,b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),bigC(b,b,c)) ),[0],$fot(quotient(product(product(b,c),c),bigC(a,a,b)))]]) ).

cnf(refute_0_8208,plain,
    ( quotient(difference(bigC(c,a,c),c),bigC(c,a,c)) != bigC(b,b,c)
    | quotient(product(product(b,c),c),bigC(a,a,b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),quotient(product(product(b,c),c),bigC(a,a,b))) )],[refute_0_8206,refute_0_8207]) ).

cnf(refute_0_8209,plain,
    quotient(product(product(b,c),c),bigC(a,a,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,a,c),c),bigC(c,a,c)),bigC(b,b,c)) )],[refute_0_8195,refute_0_8208]) ).

cnf(refute_0_8210,plain,
    quotient(product(product(b,c),c),bigC(a,a,b)) = quotient(product(product(b,c),c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(b,c),c),bigC(a,a,b)))]]) ).

cnf(refute_0_8211,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(product(product(b,c),c),bigC(a,a,b)) != quotient(product(product(b,c),c),bigC(a,a,b))
    | quotient(product(product(b,c),c),bigC(a,a,b)) = quotient(product(b,product(a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),c),bigC(a,a,b)),quotient(product(product(b,c),c),bigC(a,a,b))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_8212,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(product(product(b,c),c),bigC(a,a,b)) = quotient(product(b,product(a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),bigC(a,a,b)),quotient(product(product(b,c),c),bigC(a,a,b))) )],[refute_0_8210,refute_0_8211]) ).

cnf(refute_0_8213,plain,
    quotient(product(product(b,c),c),bigC(a,a,b)) = quotient(product(b,product(a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_8212]) ).

cnf(refute_0_8214,plain,
    ( quotient(product(product(b,c),c),bigC(a,a,b)) != bigC(b,b,c)
    | quotient(product(product(b,c),c),bigC(a,a,b)) != quotient(product(b,product(a,c)),bigC(a,a,b))
    | quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),c),bigC(a,a,b)),bigC(b,b,c)) ),[0],$fot(quotient(product(b,product(a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_8215,plain,
    ( quotient(product(product(b,c),c),bigC(a,a,b)) != bigC(b,b,c)
    | quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),bigC(a,a,b)),quotient(product(b,product(a,c)),bigC(a,a,b))) )],[refute_0_8213,refute_0_8214]) ).

cnf(refute_0_8216,plain,
    quotient(product(b,product(a,c)),bigC(a,a,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),bigC(a,a,b)),bigC(b,b,c)) )],[refute_0_8209,refute_0_8215]) ).

cnf(refute_0_8217,plain,
    ( quotient(product(b,product(a,c)),bigC(a,a,b)) != bigC(b,b,c)
    | quotient(product(b,product(a,c)),bigC(a,a,b)) != bigC(c,b,b)
    | bigC(b,b,c) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),bigC(a,a,b)),bigC(c,b,b)) ),[0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_8218,plain,
    ( quotient(product(b,product(a,c)),bigC(a,a,b)) != bigC(c,b,b)
    | bigC(b,b,c) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),bigC(a,a,b)),bigC(b,b,c)) )],[refute_0_8216,refute_0_8217]) ).

cnf(refute_0_8219,plain,
    bigC(b,b,c) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),bigC(a,a,b)),bigC(c,b,b)) )],[refute_0_8184,refute_0_8218]) ).

cnf(refute_0_8220,plain,
    ( bigC(b,b,c) != bigC(c,b,b)
    | bigC(c,b,b) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,b,c))),bind(Y,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_8221,plain,
    bigC(c,b,b) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,b,c),bigC(c,b,b)) )],[refute_0_8219,refute_0_8220]) ).

cnf(refute_0_8222,plain,
    product(product(c,b),product(b,c)) = bigC(c,b,b),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_8223,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_32:[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_8224,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_8222,refute_0_8223]) ).

cnf(refute_0_8225,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_8221,refute_0_8224]) ).

cnf(refute_0_8226,plain,
    product(product(a,b),product(product(c,b),product(b,c))) = product(product(a,b),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_8227,plain,
    ( product(product(a,b),product(product(c,b),product(b,c))) != product(product(a,b),product(product(c,b),product(b,c)))
    | product(product(c,b),product(b,c)) != bigC(b,b,c)
    | product(product(a,b),product(product(c,b),product(b,c))) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,c))),product(product(a,b),product(product(c,b),product(b,c)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_8228,plain,
    ( product(product(c,b),product(b,c)) != bigC(b,b,c)
    | product(product(a,b),product(product(c,b),product(b,c))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,c))),product(product(a,b),product(product(c,b),product(b,c)))) )],[refute_0_8226,refute_0_8227]) ).

cnf(refute_0_8229,plain,
    product(product(a,b),product(product(c,b),product(b,c))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(b,b,c)) )],[refute_0_8225,refute_0_8228]) ).

cnf(refute_0_8230,plain,
    product(product(c,product(c,b)),product(product(c,b),b)) = product(product(a,b),product(product(c,b),product(b,c))),
    inference(subst,[],[refute_0_6873:[bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_8231,plain,
    ( product(product(a,b),product(product(c,b),product(b,c))) != product(product(a,b),bigC(b,b,c))
    | product(product(c,product(c,b)),product(product(c,b),b)) != product(product(a,b),product(product(c,b),product(b,c)))
    | product(product(c,product(c,b)),product(product(c,b),b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,b),b)))),bind(Y,$fot(product(product(a,b),product(product(c,b),product(b,c))))),bind(Z,$fot(product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_8232,plain,
    ( product(product(a,b),product(product(c,b),product(b,c))) != product(product(a,b),bigC(b,b,c))
    | product(product(c,product(c,b)),product(product(c,b),b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,b),b)),product(product(a,b),product(product(c,b),product(b,c)))) )],[refute_0_8230,refute_0_8231]) ).

cnf(refute_0_8233,plain,
    product(product(c,product(c,b)),product(product(c,b),b)) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,c))),product(product(a,b),bigC(b,b,c))) )],[refute_0_8229,refute_0_8232]) ).

cnf(refute_0_8234,plain,
    product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_8235,plain,
    ( product(product(c,product(c,b)),product(product(c,b),b)) != product(product(a,b),bigC(b,b,c))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) ),[1,0],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_8236,plain,
    ( product(product(c,product(c,b)),product(product(c,b),b)) != product(product(a,b),bigC(b,b,c))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) )],[refute_0_8234,refute_0_8235]) ).

cnf(refute_0_8237,plain,
    product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,b),b)),product(product(a,b),bigC(b,b,c))) )],[refute_0_8233,refute_0_8236]) ).

cnf(refute_0_8238,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))),bind(Z,$fot(product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))))]]) ).

cnf(refute_0_8239,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) )],[refute_0_8237,refute_0_8238]) ).

cnf(refute_0_8240,plain,
    product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(b,b,c)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))) )],[refute_0_8066,refute_0_8239]) ).

cnf(refute_0_8241,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))))),bind(Z,$fot(difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_8242,plain,
    ( product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a))))) )],[refute_0_8240,refute_0_8241]) ).

cnf(refute_0_8243,plain,
    product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(b,b,c)),product(product(c,b),product(b,product(b,a)))),difference(bigC(a,a,c),product(a,b))) )],[refute_0_8045,refute_0_8242]) ).

cnf(refute_0_8244,plain,
    product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),
    inference(subst,[],[refute_0_811:[bind(B,$fot(product(product(product(c,b),b),b))),bind(D,$fot(bigC(b,b,product(c,a)))),bind(X_23,$fot(c)),bind(X_24,$fot(product(c,b))),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_8245,plain,
    product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),
    inference(subst,[],[refute_0_347:[bind(A,$fot(c)),bind(B,$fot(product(product(c,b),b))),bind(C,$fot(product(c,b))),bind(D,$fot(b)),bind(X_44,$fot(product(product(product(c,b),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_8246,plain,
    ( product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))))),bind(Z,$fot(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))))]]) ).

cnf(refute_0_8247,plain,
    ( product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a))))) )],[refute_0_8245,refute_0_8246]) ).

cnf(refute_0_8248,plain,
    product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(product(c,b),b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) )],[refute_0_8244,refute_0_8247]) ).

cnf(refute_0_8249,plain,
    ( product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))))),bind(Z,$fot(difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_8250,plain,
    ( product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a))))) )],[refute_0_8248,refute_0_8249]) ).

cnf(refute_0_8251,plain,
    product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),product(product(c,b),b)),product(product(product(product(c,b),b),b),bigC(b,b,product(c,a)))),difference(bigC(a,a,c),product(a,b))) )],[refute_0_8243,refute_0_8250]) ).

cnf(refute_0_8252,plain,
    ( product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != product(product(c,b),b)
    | difference(bigC(a,a,c),product(a,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),product(product(c,b),b)) ),[0],$fot(difference(bigC(a,a,c),product(a,b)))]]) ).

cnf(refute_0_8253,plain,
    ( product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))) != 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(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),difference(bigC(a,a,c),product(a,b))) )],[refute_0_8251,refute_0_8252]) ).

cnf(refute_0_8254,plain,
    difference(bigC(a,a,c),product(a,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),bigC(b,b,product(c,a)))),product(product(c,b),b)) )],[refute_0_8017,refute_0_8253]) ).

cnf(refute_0_8255,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | difference(bigC(a,a,c),product(a,b)) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(c,b),b) = product(product(product(a,c),b),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(product(a,c),b),product(b,product(b,c)))) ),[0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_8256,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(c,b),b) = product(product(product(a,c),b),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_8254,refute_0_8255]) ).

cnf(refute_0_8257,plain,
    product(product(c,b),b) = product(product(product(a,c),b),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_7660,refute_0_8256]) ).

cnf(refute_0_8258,plain,
    ( product(product(c,b),b) != product(product(product(a,c),b),product(b,product(b,c)))
    | product(product(product(a,c),b),product(b,product(b,c))) = product(product(c,b),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,b),b))),bind(Y,$fot(product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_8259,plain,
    product(product(product(a,c),b),product(b,product(b,c))) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),b),product(product(product(a,c),b),product(b,product(b,c)))) )],[refute_0_8257,refute_0_8258]) ).

cnf(refute_0_8260,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_8261,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))
    | product(product(product(a,c),b),product(b,product(b,c))) != product(product(c,b),b)
    | bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) ),[1,2],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_8262,plain,
    ( product(product(product(a,c),b),product(b,product(b,c))) != product(product(c,b),b)
    | bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) )],[refute_0_8260,refute_0_8261]) ).

cnf(refute_0_8263,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(b,product(b,c))),product(product(c,b),b)) )],[refute_0_8259,refute_0_8262]) ).

cnf(refute_0_8264,plain,
    difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))))]]) ).

cnf(refute_0_8265,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))))
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))))) ),[1,1],$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_8266,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))))) )],[refute_0_8264,refute_0_8265]) ).

cnf(refute_0_8267,plain,
    difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) = difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8263,refute_0_8266]) ).

cnf(refute_0_8268,plain,
    ( difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != bigC(a,a,c)
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),bigC(a,a,c)) ),[0],$fot(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_8269,plain,
    ( difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))) != bigC(a,a,c)
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))) )],[refute_0_8267,refute_0_8268]) ).

cnf(refute_0_8270,plain,
    difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(product(a,c),b),product(b,product(b,c))))),bigC(a,a,c)) )],[refute_0_7656,refute_0_8269]) ).

cnf(refute_0_8271,plain,
    ( difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) != bigC(a,a,c)
    | product(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | product(product(a,b),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) ),[0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8272,plain,
    ( product(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | product(product(a,b),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),bigC(a,a,c)) )],[refute_0_8270,refute_0_8271]) ).

cnf(refute_0_8273,plain,
    product(product(a,b),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) )],[refute_0_7601,refute_0_8272]) ).

cnf(refute_0_8274,plain,
    product(product(a,b),bigC(a,a,c)) = bigC(a,b,product(a,c)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(c)),bind(X_45,$fot(a)),bind(X_46,$fot(b))]]) ).

cnf(refute_0_8275,plain,
    ( product(product(a,b),bigC(a,a,c)) != bigC(a,b,product(a,c))
    | product(product(a,b),bigC(a,a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | bigC(a,b,product(a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) ),[0],$fot(bigC(a,b,product(a,c)))]]) ).

cnf(refute_0_8276,plain,
    ( product(product(a,b),bigC(a,a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | bigC(a,b,product(a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),bigC(a,b,product(a,c))) )],[refute_0_8274,refute_0_8275]) ).

cnf(refute_0_8277,plain,
    bigC(a,b,product(a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8273,refute_0_8276]) ).

cnf(refute_0_8278,plain,
    ( bigC(a,b,product(a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) = bigC(a,b,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,product(a,c)))),bind(Y,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_8279,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) = bigC(a,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,c)),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8277,refute_0_8278]) ).

cnf(refute_0_8280,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) != bigC(a,b,product(a,c))
    | quotient(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,a,c)) != product(bigC(a,a,c),product(product(c,b),b))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,a,c)),product(bigC(a,a,c),product(product(c,b),b))) ),[0,0],$fot(bigC(a,b,product(a,c)))]]) ).

cnf(refute_0_8281,plain,
    ( quotient(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,a,c)) != product(bigC(a,a,c),product(product(c,b),b))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,b,product(a,c))) )],[refute_0_8279,refute_0_8280]) ).

cnf(refute_0_8282,plain,
    quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,a,c)),product(bigC(a,a,c),product(product(c,b),b))) )],[refute_0_7600,refute_0_8281]) ).

cnf(refute_0_8283,plain,
    product(product(c,product(product(c,difference(b,product(c,b))),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(c,difference(b,product(c,b))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(c)),bind(X_18,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_8284,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(product(c,product(product(c,difference(b,product(c,b))),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(c,difference(b,product(c,b)))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(c,difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,difference(b,product(c,b))),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(c,difference(b,product(c,b)))) ),[0,0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_8285,plain,
    ( product(product(c,product(product(c,difference(b,product(c,b))),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(c,difference(b,product(c,b)))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(c,difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_8284]) ).

cnf(refute_0_8286,plain,
    product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(c,difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,difference(b,product(c,b))),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(c,difference(b,product(c,b)))) )],[refute_0_8283,refute_0_8285]) ).

cnf(refute_0_8287,plain,
    bigC(c,difference(b,product(c,b)),product(a,b)) = bigC(c,product(a,b),difference(b,product(c,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_8288,plain,
    bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))),
    introduced(tautology,[refl,[$fot(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))]]) ).

cnf(refute_0_8289,plain,
    ( bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) != bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))
    | product(c,difference(b,product(c,b))) != product(a,b)
    | bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,difference(b,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) ),[1,2],$fot(product(a,b))]]) ).

cnf(refute_0_8290,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,difference(b,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) )],[refute_0_8288,refute_0_8289]) ).

cnf(refute_0_8291,plain,
    bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,difference(b,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_8290]) ).

cnf(refute_0_8292,plain,
    ( bigC(c,difference(b,product(c,b)),product(a,b)) != bigC(c,product(a,b),difference(b,product(c,b)))
    | bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) != bigC(c,difference(b,product(c,b)),product(a,b))
    | bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,product(a,b),difference(b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))),bind(Y,$fot(bigC(c,difference(b,product(c,b)),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),difference(b,product(c,b)))))]]) ).

cnf(refute_0_8293,plain,
    ( bigC(c,difference(b,product(c,b)),product(a,b)) != bigC(c,product(a,b),difference(b,product(c,b)))
    | bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,product(a,b),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(a,b))) )],[refute_0_8291,refute_0_8292]) ).

cnf(refute_0_8294,plain,
    bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) = bigC(c,product(a,b),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,product(c,b)),product(a,b)),bigC(c,product(a,b),difference(b,product(c,b)))) )],[refute_0_8287,refute_0_8293]) ).

cnf(refute_0_8295,plain,
    product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))))]]) ).

cnf(refute_0_8296,plain,
    ( bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) != bigC(c,product(a,b),difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))
    | product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))) ),[1,1],$fot(bigC(c,product(a,b),difference(b,product(c,b))))]]) ).

cnf(refute_0_8297,plain,
    ( bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))) != bigC(c,product(a,b),difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))) )],[refute_0_8295,refute_0_8296]) ).

cnf(refute_0_8298,plain,
    product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))),bigC(c,product(a,b),difference(b,product(c,b)))) )],[refute_0_8294,refute_0_8297]) ).

cnf(refute_0_8299,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b))))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(a,c))),bind(X_30,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_8300,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_8301,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_8302,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_8300,refute_0_8301]) ).

cnf(refute_0_8303,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_772,refute_0_8302]) ).

cnf(refute_0_8304,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_32:[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_8305,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_8303,refute_0_8304]) ).

cnf(refute_0_8306,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_951,refute_0_8305]) ).

cnf(refute_0_8307,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,a,b),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,a,b),product(a,c))) ),[1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_8308,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,a,b),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_8306,refute_0_8307]) ).

cnf(refute_0_8309,plain,
    quotient(product(a,c),product(a,product(c,b))) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,a,b),product(a,c))) )],[refute_0_821,refute_0_8308]) ).

cnf(refute_0_8310,plain,
    ( bigC(c,a,c) != bigC(a,c,c)
    | quotient(product(a,c),product(a,product(c,b))) != bigC(c,a,c)
    | quotient(product(a,c),product(a,product(c,b))) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),bigC(c,a,c)) ),[1],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_8311,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != bigC(c,a,c)
    | quotient(product(a,c),product(a,product(c,b))) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,c,c)) )],[refute_0_1931,refute_0_8310]) ).

cnf(refute_0_8312,plain,
    quotient(product(a,c),product(a,product(c,b))) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),bigC(c,a,c)) )],[refute_0_8309,refute_0_8311]) ).

cnf(refute_0_8313,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | quotient(product(a,c),product(a,product(c,b))) != bigC(a,c,c)
    | quotient(product(a,c),product(a,product(c,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),bigC(a,c,c)) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8314,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != bigC(a,c,c)
    | quotient(product(a,c),product(a,product(c,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_1941,refute_0_8313]) ).

cnf(refute_0_8315,plain,
    quotient(product(a,c),product(a,product(c,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),bigC(a,c,c)) )],[refute_0_8312,refute_0_8314]) ).

cnf(refute_0_8316,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))
    | quotient(product(a,c),product(a,product(c,b))) != bigC(a,a,b)
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))) ),[1,1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8317,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),bigC(a,a,b)) )],[refute_0_8315,refute_0_8316]) ).

cnf(refute_0_8318,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))) )],[refute_0_8299,refute_0_8317]) ).

cnf(refute_0_8319,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(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(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))) ),[1,1,1],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_8320,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(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,a,b),product(a,c))) )],[refute_0_821,refute_0_8319]) ).

cnf(refute_0_8321,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),quotient(product(a,c),product(a,product(c,b)))))) )],[refute_0_8299,refute_0_8320]) ).

cnf(refute_0_8322,plain,
    difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))))]]) ).

cnf(refute_0_8323,plain,
    ( difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))
    | product(product(a,a),product(c,product(c,b))) != product(a,product(c,product(c,b)))
    | difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))) ),[1,0],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_8324,plain,
    ( product(product(a,a),product(c,product(c,b))) != product(a,product(c,product(c,b)))
    | difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8322,refute_0_8323]) ).

cnf(refute_0_8325,plain,
    difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(c,b))),product(a,product(c,product(c,b)))) )],[refute_0_483,refute_0_8324]) ).

cnf(refute_0_8326,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_8327,plain,
    ( difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != difference(product(a,product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))))),bind(Y,$fot(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))))),bind(Z,$fot(difference(product(a,product(c,product(c,b))),product(a,product(c,b)))))]]) ).

cnf(refute_0_8328,plain,
    ( difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != difference(product(a,product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8326,refute_0_8327]) ).

cnf(refute_0_8329,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = difference(product(a,product(c,product(c,b))),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),difference(product(a,product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8325,refute_0_8328]) ).

cnf(refute_0_8330,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != difference(product(a,product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))) ),[0],$fot(difference(product(a,product(c,product(c,b))),product(a,product(c,b))))]]) ).

cnf(refute_0_8331,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),difference(product(a,product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8329,refute_0_8330]) ).

cnf(refute_0_8332,plain,
    product(product(a,bigC(c,a,b)),bigC(c,b,a)) = product(product(a,bigC(c,a,b)),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(c,a,b)),bigC(c,b,a)))]]) ).

cnf(refute_0_8333,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(a,bigC(c,a,b)),bigC(c,b,a)) != product(product(a,bigC(c,a,b)),bigC(c,b,a))
    | product(product(a,bigC(c,a,b)),bigC(c,b,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,b,a)),product(product(a,bigC(c,a,b)),bigC(c,b,a))) ),[1,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_8334,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(a,bigC(c,a,b)),bigC(c,b,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,b,a)),product(product(a,bigC(c,a,b)),bigC(c,b,a))) )],[refute_0_8332,refute_0_8333]) ).

cnf(refute_0_8335,plain,
    product(product(a,bigC(c,a,b)),bigC(c,b,a)) = product(product(a,bigC(c,a,b)),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_124,refute_0_8334]) ).

cnf(refute_0_8336,plain,
    product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) = product(product(a,bigC(c,a,b)),bigC(c,b,a)),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_23,$fot(a)),bind(X_24,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_8337,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,b,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,b))
    | product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) != product(product(a,bigC(c,a,b)),bigC(c,b,a))
    | product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) = product(product(a,bigC(c,a,b)),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(product(a,bigC(c,a,b)),bigC(c,b,a)))),bind(Z,$fot(product(product(a,bigC(c,a,b)),bigC(c,a,b))))]]) ).

cnf(refute_0_8338,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,b,a)) != product(product(a,bigC(c,a,b)),bigC(c,a,b))
    | product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) = product(product(a,bigC(c,a,b)),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))),product(product(a,bigC(c,a,b)),bigC(c,b,a))) )],[refute_0_8336,refute_0_8337]) ).

cnf(refute_0_8339,plain,
    product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) = product(product(a,bigC(c,a,b)),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,b,a)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) )],[refute_0_8335,refute_0_8338]) ).

cnf(refute_0_8340,plain,
    product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) = product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))))]]) ).

cnf(refute_0_8341,plain,
    ( product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) != product(product(a,bigC(c,a,b)),bigC(c,a,b))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))),product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))) ),[1,1],$fot(product(product(a,bigC(c,a,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_8342,plain,
    ( product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))) != product(product(a,bigC(c,a,b)),bigC(c,a,b))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))),product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))) )],[refute_0_8340,refute_0_8341]) ).

cnf(refute_0_8343,plain,
    product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))),product(product(a,bigC(c,a,b)),bigC(c,a,b))) )],[refute_0_8339,refute_0_8342]) ).

cnf(refute_0_8344,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))) != product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))) ),[0],$fot(product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))))]]) ).

cnf(refute_0_8345,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c)))),product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_8343,refute_0_8344]) ).

cnf(refute_0_8346,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))) )],[refute_0_8331,refute_0_8345]) ).

cnf(refute_0_8347,plain,
    difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),product(bigC(c,a,b),product(a,c))))) )],[refute_0_8321,refute_0_8346]) ).

cnf(refute_0_8348,plain,
    product(product(a,c),product(product(a,b),c)) = product(product(a,product(a,b)),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(a)),bind(X_24,$fot(product(a,b))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_8349,plain,
    product(product(a,product(a,c)),product(product(c,b),c)) = product(product(a,c),product(product(a,b),c)),
    inference(subst,[],[refute_0_1505:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_8350,plain,
    ( product(product(a,c),product(product(a,b),c)) != product(product(a,product(a,b)),c)
    | product(product(a,product(a,c)),product(product(c,b),c)) != product(product(a,c),product(product(a,b),c))
    | product(product(a,product(a,c)),product(product(c,b),c)) = product(product(a,product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,c)),product(product(c,b),c)))),bind(Y,$fot(product(product(a,c),product(product(a,b),c)))),bind(Z,$fot(product(product(a,product(a,b)),c)))]]) ).

cnf(refute_0_8351,plain,
    ( product(product(a,c),product(product(a,b),c)) != product(product(a,product(a,b)),c)
    | product(product(a,product(a,c)),product(product(c,b),c)) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),c)),product(product(a,c),product(product(a,b),c))) )],[refute_0_8349,refute_0_8350]) ).

cnf(refute_0_8352,plain,
    product(product(a,product(a,c)),product(product(c,b),c)) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),c)),product(product(a,product(a,b)),c)) )],[refute_0_8348,refute_0_8351]) ).

cnf(refute_0_8353,plain,
    product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,C),product(product(a,c),bigC(c,a,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,c))),bind(D,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_8354,plain,
    ( product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,C),product(product(a,c),bigC(c,a,b)))
    | product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(a,c)),product(C,bigC(c,a,b))),product(product(A,C),product(product(a,c),bigC(c,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8355,plain,
    ( product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,C),product(product(a,c),bigC(c,a,b)))
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_597,refute_0_8354]) ).

cnf(refute_0_8356,plain,
    product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,c)),product(C,bigC(c,a,b))),product(product(A,C),product(product(a,c),bigC(c,a,b)))) )],[refute_0_8353,refute_0_8355]) ).

cnf(refute_0_8357,plain,
    product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,product(a,c)),product(C,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,product(a,c)),product(C,bigC(c,a,b))))]]) ).

cnf(refute_0_8358,plain,
    ( product(C,bigC(c,a,b)) != product(C,c)
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,product(a,c)),product(C,bigC(c,a,b)))
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,product(a,c)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(a,c)),product(C,bigC(c,a,b))),product(product(A,product(a,c)),product(C,bigC(c,a,b)))) ),[1,1],$fot(product(C,c))]]) ).

cnf(refute_0_8359,plain,
    ( product(C,bigC(c,a,b)) != product(C,c)
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,product(a,c)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,c)),product(C,bigC(c,a,b))),product(product(A,product(a,c)),product(C,bigC(c,a,b)))) )],[refute_0_8357,refute_0_8358]) ).

cnf(refute_0_8360,plain,
    product(product(A,product(a,c)),product(C,bigC(c,a,b))) = product(product(A,product(a,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,a,b)),product(C,c)) )],[refute_0_1700,refute_0_8359]) ).

cnf(refute_0_8361,plain,
    ( product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,product(a,c)),product(C,c))
    | product(product(A,product(a,c)),product(C,c)) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(a,c)),product(C,bigC(c,a,b))),product(product(A,C),product(a,product(b,c)))) ),[0],$fot(product(product(A,product(a,c)),product(C,c)))]]) ).

cnf(refute_0_8362,plain,
    ( product(product(A,product(a,c)),product(C,bigC(c,a,b))) != product(product(A,C),product(a,product(b,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,product(a,c)),product(C,bigC(c,a,b))),product(product(A,product(a,c)),product(C,c))) )],[refute_0_8360,refute_0_8361]) ).

cnf(refute_0_8363,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,bigC(c,a,b))),product(product(A,C),product(a,product(b,c)))) )],[refute_0_8356,refute_0_8362]) ).

cnf(refute_0_8364,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_16:[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_8365,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_8363,refute_0_8364]) ).

cnf(refute_0_8366,plain,
    product(product(a,product(c,b)),product(a,product(b,c))) = product(product(a,product(a,c)),product(product(c,b),c)),
    inference(subst,[],[refute_0_8365:[bind(A,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_8367,plain,
    ( product(product(a,product(a,c)),product(product(c,b),c)) != product(product(a,product(a,b)),c)
    | product(product(a,product(c,b)),product(a,product(b,c))) != product(product(a,product(a,c)),product(product(c,b),c))
    | product(product(a,product(c,b)),product(a,product(b,c))) = product(product(a,product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(a,product(b,c))))),bind(Y,$fot(product(product(a,product(a,c)),product(product(c,b),c)))),bind(Z,$fot(product(product(a,product(a,b)),c)))]]) ).

cnf(refute_0_8368,plain,
    ( product(product(a,product(a,c)),product(product(c,b),c)) != product(product(a,product(a,b)),c)
    | product(product(a,product(c,b)),product(a,product(b,c))) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(a,product(b,c))),product(product(a,product(a,c)),product(product(c,b),c))) )],[refute_0_8366,refute_0_8367]) ).

cnf(refute_0_8369,plain,
    product(product(a,product(c,b)),product(a,product(b,c))) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),c)),product(product(a,product(a,b)),c)) )],[refute_0_8352,refute_0_8368]) ).

cnf(refute_0_8370,plain,
    product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,bigC(c,a,b)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(c,a,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_8371,plain,
    ( product(a,bigC(c,a,b)) != product(a,c)
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) != product(product(a,bigC(c,a,b)),bigC(c,a,b))
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_8372,plain,
    ( product(a,bigC(c,a,b)) != product(a,c)
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) )],[refute_0_8370,refute_0_8371]) ).

cnf(refute_0_8373,plain,
    product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,a,b)),product(a,c)) )],[refute_0_3952,refute_0_8372]) ).

cnf(refute_0_8374,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,b)) != product(product(a,c),bigC(c,a,b))
    | product(product(a,c),bigC(c,a,b)) != product(product(a,c),c)
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(c,a,b)),bigC(c,a,b)))),bind(Y,$fot(product(product(a,c),bigC(c,a,b)))),bind(Z,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_8375,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(product(a,c),c)
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,b)),product(product(a,c),bigC(c,a,b))) )],[refute_0_8373,refute_0_8374]) ).

cnf(refute_0_8376,plain,
    product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(product(a,c),c)) )],[refute_0_5586,refute_0_8375]) ).

cnf(refute_0_8377,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,b)) != product(product(a,c),c)
    | product(product(a,c),c) != product(a,product(b,c))
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(c,a,b)),bigC(c,a,b)))),bind(Y,$fot(product(product(a,c),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_8378,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,b)),product(product(a,c),c)) )],[refute_0_8376,refute_0_8377]) ).

cnf(refute_0_8379,plain,
    product(product(a,bigC(c,a,b)),bigC(c,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_5589,refute_0_8378]) ).

cnf(refute_0_8380,plain,
    product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))))]]) ).

cnf(refute_0_8381,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) != product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(c,b)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8382,plain,
    ( product(product(a,bigC(c,a,b)),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(c,b)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_8380,refute_0_8381]) ).

cnf(refute_0_8383,plain,
    product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(c,b)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_8379,refute_0_8382]) ).

cnf(refute_0_8384,plain,
    ( product(product(a,product(c,b)),product(a,product(b,c))) != product(product(a,product(a,b)),c)
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) != product(product(a,product(c,b)),product(a,product(b,c)))
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))))),bind(Y,$fot(product(product(a,product(c,b)),product(a,product(b,c))))),bind(Z,$fot(product(product(a,product(a,b)),c)))]]) ).

cnf(refute_0_8385,plain,
    ( product(product(a,product(c,b)),product(a,product(b,c))) != product(product(a,product(a,b)),c)
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),product(product(a,product(c,b)),product(a,product(b,c)))) )],[refute_0_8383,refute_0_8384]) ).

cnf(refute_0_8386,plain,
    product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(a,product(b,c))),product(product(a,product(a,b)),c)) )],[refute_0_8369,refute_0_8385]) ).

cnf(refute_0_8387,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))
    | product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))) != product(product(a,product(a,b)),c)
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(a,b)),c)) ),[0],$fot(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))))]]) ).

cnf(refute_0_8388,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))
    | difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b))),product(product(a,product(a,b)),c)) )],[refute_0_8386,refute_0_8387]) ).

cnf(refute_0_8389,plain,
    difference(product(a,product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_8347,refute_0_8388]) ).

cnf(refute_0_8390,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(a,b)),c)
    | difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != difference(product(a,product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))))),bind(Y,$fot(difference(product(a,product(c,product(c,b))),product(a,product(c,b))))),bind(Z,$fot(product(product(a,product(a,b)),c)))]]) ).

cnf(refute_0_8391,plain,
    ( difference(product(a,product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(a,b)),c)
    | difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),difference(product(a,product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8325,refute_0_8390]) ).

cnf(refute_0_8392,plain,
    difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(a,b)),c)) )],[refute_0_8389,refute_0_8391]) ).

cnf(refute_0_8393,plain,
    ( difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(a,b)),c)
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))))),bind(Y,$fot(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))))),bind(Z,$fot(product(product(a,product(a,b)),c)))]]) ).

cnf(refute_0_8394,plain,
    ( difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != product(product(a,product(a,b)),c)
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_8326,refute_0_8393]) ).

cnf(refute_0_8395,plain,
    difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(a,product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),product(product(a,product(a,b)),c)) )],[refute_0_8392,refute_0_8394]) ).

cnf(refute_0_8396,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(a,b)),c)
    | difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(a,b)),c) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))) ),[0],$fot(product(product(a,product(a,b)),c))]]) ).

cnf(refute_0_8397,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(a,b)),c) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(a,b)),c)) )],[refute_0_8395,refute_0_8396]) ).

cnf(refute_0_8398,plain,
    product(a,product(a,a)) = bigC(a,a,a),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(a)),bind(X_19,$fot(a))]]) ).

cnf(refute_0_8399,plain,
    ( bigC(a,a,a) != a
    | product(a,product(a,a)) != bigC(a,a,a)
    | product(a,product(a,a)) = a ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(a,product(a,a)))),bind(Y,$fot(bigC(a,a,a))),bind(Z,$fot(a))]]) ).

cnf(refute_0_8400,plain,
    ( bigC(a,a,a) != a
    | product(a,product(a,a)) = a ),
    inference(resolve,[$cnf( $equal(product(a,product(a,a)),bigC(a,a,a)) )],[refute_0_8398,refute_0_8399]) ).

cnf(refute_0_8401,plain,
    product(a,product(a,a)) = a,
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_8400]) ).

cnf(refute_0_8402,plain,
    product(product(a,product(a,a)),bigC(b,b,c)) = product(product(a,product(a,a)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,a)),bigC(b,b,c)))]]) ).

cnf(refute_0_8403,plain,
    ( product(a,product(a,a)) != a
    | product(product(a,product(a,a)),bigC(b,b,c)) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,product(a,a)),bigC(b,b,c)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,a)),bigC(b,b,c)),product(product(a,product(a,a)),bigC(b,b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_8404,plain,
    ( product(a,product(a,a)) != a
    | product(product(a,product(a,a)),bigC(b,b,c)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,a)),bigC(b,b,c)),product(product(a,product(a,a)),bigC(b,b,c))) )],[refute_0_8402,refute_0_8403]) ).

cnf(refute_0_8405,plain,
    product(product(a,product(a,a)),bigC(b,b,c)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(a,a)),a) )],[refute_0_8401,refute_0_8404]) ).

cnf(refute_0_8406,plain,
    product(product(a,b),product(product(a,a),product(c,b))) = product(product(a,product(a,a)),bigC(b,b,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(a,a))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_8407,plain,
    product(product(a,b),product(product(a,c),product(a,b))) = product(product(a,b),product(product(a,a),product(c,b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_65,$fot(product(a,b)))]]) ).

cnf(refute_0_8408,plain,
    ( product(product(a,b),product(product(a,a),product(c,b))) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,b),product(product(a,c),product(a,b))) != product(product(a,b),product(product(a,a),product(c,b)))
    | product(product(a,b),product(product(a,c),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(a,b),product(product(a,a),product(c,b))))),bind(Z,$fot(product(product(a,product(a,a)),bigC(b,b,c))))]]) ).

cnf(refute_0_8409,plain,
    ( product(product(a,b),product(product(a,a),product(c,b))) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,b),product(product(a,c),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,c),product(a,b))),product(product(a,b),product(product(a,a),product(c,b)))) )],[refute_0_8407,refute_0_8408]) ).

cnf(refute_0_8410,plain,
    product(product(a,b),product(product(a,c),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,a),product(c,b))),product(product(a,product(a,a)),bigC(b,b,c))) )],[refute_0_8406,refute_0_8409]) ).

cnf(refute_0_8411,plain,
    product(product(a,c),product(product(c,b),X_67)) = product(product(product(a,c),product(c,b)),product(product(a,c),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,c))),bind(X_25,$fot(product(c,b))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_8412,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,c),product(product(c,b),X_67)) != product(product(product(a,c),product(c,b)),product(product(a,c),X_67))
    | product(product(a,c),product(product(c,b),X_67)) = product(product(a,b),product(product(a,c),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(c,b),X_67)),product(product(product(a,c),product(c,b)),product(product(a,c),X_67))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_8413,plain,
    ( product(product(a,c),product(product(c,b),X_67)) != product(product(product(a,c),product(c,b)),product(product(a,c),X_67))
    | product(product(a,c),product(product(c,b),X_67)) = product(product(a,b),product(product(a,c),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_8412]) ).

cnf(refute_0_8414,plain,
    product(product(a,c),product(product(c,b),X_67)) = product(product(a,b),product(product(a,c),X_67)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),X_67)),product(product(product(a,c),product(c,b)),product(product(a,c),X_67))) )],[refute_0_8411,refute_0_8413]) ).

cnf(refute_0_8415,plain,
    product(product(a,c),product(product(c,b),product(a,b))) = product(product(a,b),product(product(a,c),product(a,b))),
    inference(subst,[],[refute_0_8414:[bind(X_67,$fot(product(a,b)))]]) ).

cnf(refute_0_8416,plain,
    ( product(product(a,b),product(product(a,c),product(a,b))) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,c),product(product(c,b),product(a,b))) != product(product(a,b),product(product(a,c),product(a,b)))
    | product(product(a,c),product(product(c,b),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(c,b),product(a,b))))),bind(Y,$fot(product(product(a,b),product(product(a,c),product(a,b))))),bind(Z,$fot(product(product(a,product(a,a)),bigC(b,b,c))))]]) ).

cnf(refute_0_8417,plain,
    ( product(product(a,b),product(product(a,c),product(a,b))) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,c),product(product(c,b),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(a,b))),product(product(a,b),product(product(a,c),product(a,b)))) )],[refute_0_8415,refute_0_8416]) ).

cnf(refute_0_8418,plain,
    product(product(a,c),product(product(c,b),product(a,b))) = product(product(a,product(a,a)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,c),product(a,b))),product(product(a,product(a,a)),bigC(b,b,c))) )],[refute_0_8410,refute_0_8417]) ).

cnf(refute_0_8419,plain,
    ( product(product(a,c),product(product(c,b),product(a,b))) != product(product(a,product(a,a)),bigC(b,b,c))
    | product(product(a,product(a,a)),bigC(b,b,c)) != product(a,bigC(b,b,c))
    | product(product(a,c),product(product(c,b),product(a,b))) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(c,b),product(a,b))))),bind(Y,$fot(product(product(a,product(a,a)),bigC(b,b,c)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_8420,plain,
    ( product(product(a,product(a,a)),bigC(b,b,c)) != product(a,bigC(b,b,c))
    | product(product(a,c),product(product(c,b),product(a,b))) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(a,b))),product(product(a,product(a,a)),bigC(b,b,c))) )],[refute_0_8418,refute_0_8419]) ).

cnf(refute_0_8421,plain,
    product(product(a,c),product(product(c,b),product(a,b))) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,a)),bigC(b,b,c)),product(a,bigC(b,b,c))) )],[refute_0_8405,refute_0_8420]) ).

cnf(refute_0_8422,plain,
    product(product(A,c),product(C,product(a,b))) = product(product(A,C),product(c,product(a,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(D,$fot(product(a,b)))]]) ).

cnf(refute_0_8423,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_8424,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_1833,refute_0_8423]) ).

cnf(refute_0_8425,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_8422,refute_0_8424]) ).

cnf(refute_0_8426,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_16:[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_8427,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_8425,refute_0_8426]) ).

cnf(refute_0_8428,plain,
    product(product(a,product(c,b)),product(a,product(b,c))) = product(product(a,c),product(product(c,b),product(a,b))),
    inference(subst,[],[refute_0_8427:[bind(A,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_8429,plain,
    ( product(product(a,c),product(product(c,b),product(a,b))) != product(a,bigC(b,b,c))
    | product(product(a,product(c,b)),product(a,product(b,c))) != product(product(a,c),product(product(c,b),product(a,b)))
    | product(product(a,product(c,b)),product(a,product(b,c))) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(a,product(b,c))))),bind(Y,$fot(product(product(a,c),product(product(c,b),product(a,b))))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_8430,plain,
    ( product(product(a,c),product(product(c,b),product(a,b))) != product(a,bigC(b,b,c))
    | product(product(a,product(c,b)),product(a,product(b,c))) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(a,product(b,c))),product(product(a,c),product(product(c,b),product(a,b)))) )],[refute_0_8428,refute_0_8429]) ).

cnf(refute_0_8431,plain,
    product(product(a,product(c,b)),product(a,product(b,c))) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(a,b))),product(a,bigC(b,b,c))) )],[refute_0_8421,refute_0_8430]) ).

cnf(refute_0_8432,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_85:[bind(X_18,$fot(product(a,c))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_8433,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_8434,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_520,refute_0_8433]) ).

cnf(refute_0_8435,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_8432,refute_0_8434]) ).

cnf(refute_0_8436,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_8437,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_8438,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_8436,refute_0_8437]) ).

cnf(refute_0_8439,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_601,refute_0_8438]) ).

cnf(refute_0_8440,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_566:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(X_36,$fot(a))]]) ).

cnf(refute_0_8441,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_32:[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_8442,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_8440,refute_0_8441]) ).

cnf(refute_0_8443,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_8439,refute_0_8442]) ).

cnf(refute_0_8444,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_8445,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_8443,refute_0_8444]) ).

cnf(refute_0_8446,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_8435,refute_0_8445]) ).

cnf(refute_0_8447,plain,
    bigC(a,product(c,b),product(a,b)) = bigC(a,product(a,b),product(c,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_8448,plain,
    product(product(a,product(c,b)),bigC(a,a,b)) = bigC(a,product(c,b),product(a,b)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(b)),bind(X_45,$fot(a)),bind(X_46,$fot(product(c,b)))]]) ).

cnf(refute_0_8449,plain,
    ( bigC(a,product(c,b),product(a,b)) != bigC(a,product(a,b),product(c,b))
    | product(product(a,product(c,b)),bigC(a,a,b)) != bigC(a,product(c,b),product(a,b))
    | product(product(a,product(c,b)),bigC(a,a,b)) = bigC(a,product(a,b),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(bigC(a,product(c,b),product(a,b)))),bind(Z,$fot(bigC(a,product(a,b),product(c,b))))]]) ).

cnf(refute_0_8450,plain,
    ( bigC(a,product(c,b),product(a,b)) != bigC(a,product(a,b),product(c,b))
    | product(product(a,product(c,b)),bigC(a,a,b)) = bigC(a,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(a,a,b)),bigC(a,product(c,b),product(a,b))) )],[refute_0_8448,refute_0_8449]) ).

cnf(refute_0_8451,plain,
    product(product(a,product(c,b)),bigC(a,a,b)) = bigC(a,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),product(a,b)),bigC(a,product(a,b),product(c,b))) )],[refute_0_8447,refute_0_8450]) ).

cnf(refute_0_8452,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_8453,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_8454,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_8452,refute_0_8453]) ).

cnf(refute_0_8455,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_1946,refute_0_8454]) ).

cnf(refute_0_8456,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != bigC(a,product(a,b),product(c,b))
    | product(product(a,product(c,b)),bigC(c,a,c)) != product(product(a,product(c,b)),bigC(a,a,b))
    | product(product(a,product(c,b)),bigC(c,a,c)) = bigC(a,product(a,b),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),bigC(c,a,c)))),bind(Y,$fot(product(product(a,product(c,b)),bigC(a,a,b)))),bind(Z,$fot(bigC(a,product(a,b),product(c,b))))]]) ).

cnf(refute_0_8457,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != bigC(a,product(a,b),product(c,b))
    | product(product(a,product(c,b)),bigC(c,a,c)) = bigC(a,product(a,b),product(c,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_8455,refute_0_8456]) ).

cnf(refute_0_8458,plain,
    product(product(a,product(c,b)),bigC(c,a,c)) = bigC(a,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(a,a,b)),bigC(a,product(a,b),product(c,b))) )],[refute_0_8451,refute_0_8457]) ).

cnf(refute_0_8459,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)) != bigC(a,product(a,b),product(c,b))
    | product(a,product(b,c)) = bigC(a,product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,c)),bigC(a,product(a,b),product(c,b))) ),[0],$fot(product(product(a,product(c,b)),bigC(c,a,c)))]]) ).

cnf(refute_0_8460,plain,
    ( product(a,product(b,c)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(a,product(b,c)) = bigC(a,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),bigC(a,product(a,b),product(c,b))) )],[refute_0_8458,refute_0_8459]) ).

cnf(refute_0_8461,plain,
    product(a,product(b,c)) = bigC(a,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_8446,refute_0_8460]) ).

cnf(refute_0_8462,plain,
    ( product(a,product(b,c)) != bigC(a,product(a,b),product(c,b))
    | bigC(a,product(a,b),product(c,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(bigC(a,product(a,b),product(c,b))))]]) ).

cnf(refute_0_8463,plain,
    bigC(a,product(a,b),product(c,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),bigC(a,product(a,b),product(c,b))) )],[refute_0_8461,refute_0_8462]) ).

cnf(refute_0_8464,plain,
    ( bigC(a,product(a,b),product(c,b)) != product(a,product(b,c))
    | bigC(a,product(c,b),product(a,b)) != bigC(a,product(a,b),product(c,b))
    | bigC(a,product(c,b),product(a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(c,b),product(a,b)))),bind(Y,$fot(bigC(a,product(a,b),product(c,b)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_8465,plain,
    ( bigC(a,product(a,b),product(c,b)) != product(a,product(b,c))
    | bigC(a,product(c,b),product(a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),product(a,b)),bigC(a,product(a,b),product(c,b))) )],[refute_0_8447,refute_0_8464]) ).

cnf(refute_0_8466,plain,
    bigC(a,product(c,b),product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,b),product(c,b)),product(a,product(b,c))) )],[refute_0_8463,refute_0_8465]) ).

cnf(refute_0_8467,plain,
    ( bigC(a,product(c,b),product(a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),bigC(a,a,b)) != bigC(a,product(c,b),product(a,b))
    | product(product(a,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(bigC(a,product(c,b),product(a,b)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_8468,plain,
    ( bigC(a,product(c,b),product(a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(a,a,b)),bigC(a,product(c,b),product(a,b))) )],[refute_0_8448,refute_0_8467]) ).

cnf(refute_0_8469,plain,
    product(product(a,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),product(a,b)),product(a,product(b,c))) )],[refute_0_8466,refute_0_8468]) ).

cnf(refute_0_8470,plain,
    product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_8471,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(product(a,product(c,b)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8472,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(product(a,product(c,b)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_8470,refute_0_8471]) ).

cnf(refute_0_8473,plain,
    product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(product(a,product(c,b)),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_8469,refute_0_8472]) ).

cnf(refute_0_8474,plain,
    ( product(product(a,product(c,b)),product(a,product(b,c))) != product(a,bigC(b,b,c))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) != product(product(a,product(c,b)),product(a,product(b,c)))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))))),bind(Y,$fot(product(product(a,product(c,b)),product(a,product(b,c))))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_8475,plain,
    ( product(product(a,product(c,b)),product(a,product(b,c))) != product(a,bigC(b,b,c))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),product(a,product(b,c)))) )],[refute_0_8473,refute_0_8474]) ).

cnf(refute_0_8476,plain,
    product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(a,product(b,c))),product(a,bigC(b,b,c))) )],[refute_0_8431,refute_0_8475]) ).

cnf(refute_0_8477,plain,
    ( product(product(a,product(a,b)),c) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))) != product(a,bigC(b,b,c))
    | product(product(a,product(a,b)),c) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(a,b)),c),product(a,bigC(b,b,c))) ),[0],$fot(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_8478,plain,
    ( product(product(a,product(a,b)),c) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(a,b)),c) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(a,bigC(b,b,c))) )],[refute_0_8476,refute_0_8477]) ).

cnf(refute_0_8479,plain,
    ( difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(a,b)),c) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),c),product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_8397,refute_0_8478]) ).

cnf(refute_0_8480,plain,
    product(product(a,product(a,b)),c) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(a,product(c,b)),product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_8318,refute_0_8479]) ).

cnf(refute_0_8481,plain,
    product(c,product(X_25,difference(b,product(c,b)))) = product(product(c,X_25),product(c,difference(b,product(c,b)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_8482,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(c,product(X_25,difference(b,product(c,b)))) != product(product(c,X_25),product(c,difference(b,product(c,b))))
    | product(c,product(X_25,difference(b,product(c,b)))) = product(product(c,X_25),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,difference(b,product(c,b)))),product(product(c,X_25),product(c,difference(b,product(c,b))))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_8483,plain,
    ( product(c,product(X_25,difference(b,product(c,b)))) != product(product(c,X_25),product(c,difference(b,product(c,b))))
    | product(c,product(X_25,difference(b,product(c,b)))) = product(product(c,X_25),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_8482]) ).

cnf(refute_0_8484,plain,
    product(c,product(X_25,difference(b,product(c,b)))) = product(product(c,X_25),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,difference(b,product(c,b)))),product(product(c,X_25),product(c,difference(b,product(c,b))))) )],[refute_0_8481,refute_0_8483]) ).

cnf(refute_0_8485,plain,
    bigC(c,X_18,quotient(product(a,b),c)) = product(product(c,X_18),product(a,b)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(a,b))),bind(X_17,$fot(c))]]) ).

cnf(refute_0_8486,plain,
    ( bigC(c,X_18,quotient(product(a,b),c)) != product(product(c,X_18),product(a,b))
    | quotient(product(a,b),c) != difference(b,c)
    | bigC(c,X_18,difference(b,c)) = product(product(c,X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,quotient(product(a,b),c)),product(product(c,X_18),product(a,b))) ),[0,2],$fot(difference(b,c))]]) ).

cnf(refute_0_8487,plain,
    ( bigC(c,X_18,quotient(product(a,b),c)) != product(product(c,X_18),product(a,b))
    | bigC(c,X_18,difference(b,c)) = product(product(c,X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_5261,refute_0_8486]) ).

cnf(refute_0_8488,plain,
    bigC(c,X_18,difference(b,c)) = product(product(c,X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,quotient(product(a,b),c)),product(product(c,X_18),product(a,b))) )],[refute_0_8485,refute_0_8487]) ).

cnf(refute_0_8489,plain,
    bigC(difference(difference(b,c),product(a,b)),X_18,difference(b,c)) = product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(a,b))),bind(X_19,$fot(difference(b,c)))]]) ).

cnf(refute_0_8490,plain,
    difference(quotient(product(a,b),c),product(a,b)) = c,
    inference(subst,[],[refute_0_495:[bind(B,$fot(c)),bind(X_11,$fot(product(a,b)))]]) ).

cnf(refute_0_8491,plain,
    ( difference(quotient(product(a,b),c),product(a,b)) != c
    | quotient(product(a,b),c) != difference(b,c)
    | difference(difference(b,c),product(a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),c),product(a,b)),c) ),[0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_8492,plain,
    ( difference(quotient(product(a,b),c),product(a,b)) != c
    | difference(difference(b,c),product(a,b)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_5261,refute_0_8491]) ).

cnf(refute_0_8493,plain,
    difference(difference(b,c),product(a,b)) = c,
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),c),product(a,b)),c) )],[refute_0_8490,refute_0_8492]) ).

cnf(refute_0_8494,plain,
    ( bigC(difference(difference(b,c),product(a,b)),X_18,difference(b,c)) != product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))
    | difference(difference(b,c),product(a,b)) != c
    | bigC(c,X_18,difference(b,c)) = product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),X_18,difference(b,c)),product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_8495,plain,
    ( bigC(difference(difference(b,c),product(a,b)),X_18,difference(b,c)) != product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))
    | bigC(c,X_18,difference(b,c)) = product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(a,b)),c) )],[refute_0_8493,refute_0_8494]) ).

cnf(refute_0_8496,plain,
    bigC(c,X_18,difference(b,c)) = product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),X_18,difference(b,c)),product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))) )],[refute_0_8489,refute_0_8495]) ).

cnf(refute_0_8497,plain,
    bigC(c,difference(b,c),C) = product(product(c,difference(b,c)),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_8498,plain,
    ( bigC(c,difference(b,c),C) != product(product(c,difference(b,c)),product(C,c))
    | product(c,difference(b,c)) != product(a,c)
    | bigC(c,difference(b,c),C) = product(product(a,c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(b,c),C),product(product(c,difference(b,c)),product(C,c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_8499,plain,
    ( bigC(c,difference(b,c),C) != product(product(c,difference(b,c)),product(C,c))
    | bigC(c,difference(b,c),C) = product(product(a,c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_8498]) ).

cnf(refute_0_8500,plain,
    bigC(c,difference(b,c),C) = product(product(a,c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,c),C),product(product(c,difference(b,c)),product(C,c))) )],[refute_0_8497,refute_0_8499]) ).

cnf(refute_0_8501,plain,
    product(product(a,c),product(C,c)) = product(product(a,C),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(a)),bind(X_24,$fot(C)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_8502,plain,
    ( bigC(c,difference(b,c),C) != product(product(a,c),product(C,c))
    | product(product(a,c),product(C,c)) != product(product(a,C),c)
    | bigC(c,difference(b,c),C) = product(product(a,C),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,difference(b,c),C),product(product(a,C),c)) ),[0],$fot(product(product(a,c),product(C,c)))]]) ).

cnf(refute_0_8503,plain,
    ( bigC(c,difference(b,c),C) != product(product(a,c),product(C,c))
    | bigC(c,difference(b,c),C) = product(product(a,C),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(C,c)),product(product(a,C),c)) )],[refute_0_8501,refute_0_8502]) ).

cnf(refute_0_8504,plain,
    bigC(c,difference(b,c),C) = product(product(a,C),c),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,c),C),product(product(a,c),product(C,c))) )],[refute_0_8500,refute_0_8503]) ).

cnf(refute_0_8505,plain,
    bigC(c,difference(b,c),X_18) = product(product(a,X_18),c),
    inference(subst,[],[refute_0_8504:[bind(C,$fot(X_18))]]) ).

cnf(refute_0_8506,plain,
    bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18))]]) ).

cnf(refute_0_8507,plain,
    ( bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) != bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18)
    | difference(difference(b,c),product(a,b)) != c
    | bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = bigC(c,difference(b,c),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8508,plain,
    ( difference(difference(b,c),product(a,b)) != c
    | bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = bigC(c,difference(b,c),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18)) )],[refute_0_8506,refute_0_8507]) ).

cnf(refute_0_8509,plain,
    bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = bigC(c,difference(b,c),X_18),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(a,b)),c) )],[refute_0_8493,refute_0_8508]) ).

cnf(refute_0_8510,plain,
    ( bigC(c,difference(b,c),X_18) != product(product(a,X_18),c)
    | bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) != bigC(c,difference(b,c),X_18)
    | bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = product(product(a,X_18),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18))),bind(Y,$fot(bigC(c,difference(b,c),X_18))),bind(Z,$fot(product(product(a,X_18),c)))]]) ).

cnf(refute_0_8511,plain,
    ( bigC(c,difference(b,c),X_18) != product(product(a,X_18),c)
    | bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = product(product(a,X_18),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),bigC(c,difference(b,c),X_18)) )],[refute_0_8509,refute_0_8510]) ).

cnf(refute_0_8512,plain,
    bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) = product(product(a,X_18),c),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,c),X_18),product(product(a,X_18),c)) )],[refute_0_8505,refute_0_8511]) ).

cnf(refute_0_8513,plain,
    product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) = bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(difference(b,c))),bind(C,$fot(X_18)),bind(X_70,$fot(product(a,b)))]]) ).

cnf(refute_0_8514,plain,
    ( bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) != product(product(a,X_18),c)
    | product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) != bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18)
    | product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) = product(product(a,X_18),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)))),bind(Y,$fot(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18))),bind(Z,$fot(product(product(a,X_18),c)))]]) ).

cnf(refute_0_8515,plain,
    ( bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18) != product(product(a,X_18),c)
    | product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) = product(product(a,X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)),bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18)) )],[refute_0_8513,refute_0_8514]) ).

cnf(refute_0_8516,plain,
    product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) = product(product(a,X_18),c),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,b)),difference(b,c),X_18),product(product(a,X_18),c)) )],[refute_0_8512,refute_0_8515]) ).

cnf(refute_0_8517,plain,
    ( bigC(c,X_18,difference(b,c)) != product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))
    | product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)) != product(product(a,X_18),c)
    | bigC(c,X_18,difference(b,c)) = product(product(a,X_18),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,difference(b,c)),product(product(a,X_18),c)) ),[0],$fot(product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)))]]) ).

cnf(refute_0_8518,plain,
    ( bigC(c,X_18,difference(b,c)) != product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))
    | bigC(c,X_18,difference(b,c)) = product(product(a,X_18),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b)),product(product(a,X_18),c)) )],[refute_0_8516,refute_0_8517]) ).

cnf(refute_0_8519,plain,
    bigC(c,X_18,difference(b,c)) = product(product(a,X_18),c),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,difference(b,c)),product(product(difference(difference(b,c),product(a,b)),X_18),product(a,b))) )],[refute_0_8496,refute_0_8518]) ).

cnf(refute_0_8520,plain,
    ( bigC(c,X_18,difference(b,c)) != product(product(a,X_18),c)
    | bigC(c,X_18,difference(b,c)) != product(product(c,X_18),product(a,b))
    | product(product(a,X_18),c) = product(product(c,X_18),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,difference(b,c)),product(product(c,X_18),product(a,b))) ),[0],$fot(product(product(a,X_18),c))]]) ).

cnf(refute_0_8521,plain,
    ( bigC(c,X_18,difference(b,c)) != product(product(c,X_18),product(a,b))
    | product(product(a,X_18),c) = product(product(c,X_18),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,difference(b,c)),product(product(a,X_18),c)) )],[refute_0_8519,refute_0_8520]) ).

cnf(refute_0_8522,plain,
    product(product(a,X_18),c) = product(product(c,X_18),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,difference(b,c)),product(product(c,X_18),product(a,b))) )],[refute_0_8488,refute_0_8521]) ).

cnf(refute_0_8523,plain,
    ( product(product(a,X_18),c) != product(product(c,X_18),product(a,b))
    | product(product(c,X_18),product(a,b)) = product(product(a,X_18),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,X_18),c))),bind(Y,$fot(product(product(c,X_18),product(a,b))))]]) ).

cnf(refute_0_8524,plain,
    product(product(c,X_18),product(a,b)) = product(product(a,X_18),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_18),c),product(product(c,X_18),product(a,b))) )],[refute_0_8522,refute_0_8523]) ).

cnf(refute_0_8525,plain,
    product(product(c,X_25),product(a,b)) = product(product(a,X_25),c),
    inference(subst,[],[refute_0_8524:[bind(X_18,$fot(X_25))]]) ).

cnf(refute_0_8526,plain,
    ( product(c,product(X_25,difference(b,product(c,b)))) != product(product(c,X_25),product(a,b))
    | product(product(c,X_25),product(a,b)) != product(product(a,X_25),c)
    | product(c,product(X_25,difference(b,product(c,b)))) = product(product(a,X_25),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,difference(b,product(c,b)))),product(product(a,X_25),c)) ),[0],$fot(product(product(c,X_25),product(a,b)))]]) ).

cnf(refute_0_8527,plain,
    ( product(c,product(X_25,difference(b,product(c,b)))) != product(product(c,X_25),product(a,b))
    | product(c,product(X_25,difference(b,product(c,b)))) = product(product(a,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(a,b)),product(product(a,X_25),c)) )],[refute_0_8525,refute_0_8526]) ).

cnf(refute_0_8528,plain,
    product(c,product(X_25,difference(b,product(c,b)))) = product(product(a,X_25),c),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,difference(b,product(c,b)))),product(product(c,X_25),product(a,b))) )],[refute_0_8484,refute_0_8527]) ).

cnf(refute_0_8529,plain,
    product(c,product(product(a,b),difference(b,product(c,b)))) = product(product(a,product(a,b)),c),
    inference(subst,[],[refute_0_8528:[bind(X_25,$fot(product(a,b)))]]) ).

cnf(refute_0_8530,plain,
    ( product(c,product(product(a,b),difference(b,product(c,b)))) != product(product(a,product(a,b)),c)
    | product(product(a,product(a,b)),c) != product(a,bigC(b,b,c))
    | product(c,product(product(a,b),difference(b,product(c,b)))) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(a,b),difference(b,product(c,b)))))),bind(Y,$fot(product(product(a,product(a,b)),c))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_8531,plain,
    ( product(product(a,product(a,b)),c) != product(a,bigC(b,b,c))
    | product(c,product(product(a,b),difference(b,product(c,b)))) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),difference(b,product(c,b)))),product(product(a,product(a,b)),c)) )],[refute_0_8529,refute_0_8530]) ).

cnf(refute_0_8532,plain,
    product(c,product(product(a,b),difference(b,product(c,b)))) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),c),product(a,bigC(b,b,c))) )],[refute_0_8480,refute_0_8531]) ).

cnf(refute_0_8533,plain,
    product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))))]]) ).

cnf(refute_0_8534,plain,
    ( product(c,product(product(a,b),difference(b,product(c,b)))) != product(a,bigC(b,b,c))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_8535,plain,
    ( product(c,product(product(a,b),difference(b,product(c,b)))) != product(a,bigC(b,b,c))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))) )],[refute_0_8533,refute_0_8534]) ).

cnf(refute_0_8536,plain,
    product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),difference(b,product(c,b)))),product(a,bigC(b,b,c))) )],[refute_0_8532,refute_0_8535]) ).

cnf(refute_0_8537,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))))),bind(Y,$fot(product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))))),bind(Z,$fot(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))))]]) ).

cnf(refute_0_8538,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b)))))) )],[refute_0_8536,refute_0_8537]) ).

cnf(refute_0_8539,plain,
    product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))) )],[refute_0_8298,refute_0_8538]) ).

cnf(refute_0_8540,plain,
    ( product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(c,difference(b,product(c,b)))
    | product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(c,difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(c,difference(b,product(c,b)))) ),[0],$fot(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))))]]) ).

cnf(refute_0_8541,plain,
    ( product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(c,difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(c,difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))) )],[refute_0_8539,refute_0_8540]) ).

cnf(refute_0_8542,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(c,difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(c,difference(b,product(c,b)))) ),[1],$fot(product(a,b))]]) ).

cnf(refute_0_8543,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(c,difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_8542]) ).

cnf(refute_0_8544,plain,
    ( product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))) != product(c,difference(b,product(c,b)))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(c,difference(b,product(c,b)))) )],[refute_0_8541,refute_0_8543]) ).

cnf(refute_0_8545,plain,
    product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(a,b),difference(b,product(c,b)))),bigC(c,difference(b,product(c,b)),product(c,difference(b,product(c,b))))),product(c,difference(b,product(c,b)))) )],[refute_0_8286,refute_0_8544]) ).

cnf(refute_0_8546,plain,
    product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(bigC(a,a,c),product(c,b)),product(bigC(a,a,c),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(a,a,c))),bind(X_25,$fot(product(c,b)))]]) ).

cnf(refute_0_8547,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(product(c,product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(c)),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_8548,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(c,product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(product(c,product(a,b)),product(a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8549,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(c,product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_8548]) ).

cnf(refute_0_8550,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(product(c,product(a,b)),product(a,b))) )],[refute_0_8547,refute_0_8549]) ).

cnf(refute_0_8551,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(bigC(c,a,b),a))),bind(X_25,$fot(product(a,b))),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_8552,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(a,c),product(product(bigC(c,a,b),a),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),X_67))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_8553,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(a,c),product(product(bigC(c,a,b),a),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_834,refute_0_8552]) ).

cnf(refute_0_8554,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(a,c),product(product(bigC(c,a,b),a),X_67)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),X_67))) )],[refute_0_8551,refute_0_8553]) ).

cnf(refute_0_8555,plain,
    product(product(a,c),product(product(bigC(c,a,b),a),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(a)),bind(B,$fot(c)),bind(D,$fot(X_67)),bind(X_36,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_8556,plain,
    ( product(product(a,c),product(product(bigC(c,a,b),a),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(a,c),product(product(bigC(c,a,b),a),X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(a,c),product(product(bigC(c,a,b),a),X_67))) ),[1],$fot(product(bigC(a,a,bigC(c,a,b)),product(c,X_67)))]]) ).

cnf(refute_0_8557,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(a,c),product(product(bigC(c,a,b),a),X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(bigC(c,a,b),a),X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) )],[refute_0_8555,refute_0_8556]) ).

cnf(refute_0_8558,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(a,c),product(product(bigC(c,a,b),a),X_67))) )],[refute_0_8554,refute_0_8557]) ).

cnf(refute_0_8559,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(bigC(c,a,b),a),product(product(a,b),X_67)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(product(a,b),X_67)))]]) ).

cnf(refute_0_8560,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(bigC(c,a,b),a),product(product(a,b),X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(c,a),product(product(a,b),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(bigC(c,a,b),a),product(product(a,b),X_67))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8561,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(c,a),product(product(a,b),X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(bigC(c,a,b),a),product(product(a,b),X_67))) )],[refute_0_8559,refute_0_8560]) ).

cnf(refute_0_8562,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),X_67)) = product(product(c,a),product(product(a,b),X_67)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_878,refute_0_8561]) ).

cnf(refute_0_8563,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(product(c,a),product(product(a,b),X_67))
    | product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) ),[0],$fot(product(product(c,a),product(product(a,b),X_67)))]]) ).

cnf(refute_0_8564,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(product(c,a),product(product(a,b),X_67))) )],[refute_0_8562,refute_0_8563]) ).

cnf(refute_0_8565,plain,
    product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) = product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,bigC(c,a,b)),product(c,X_67)))]]) ).

cnf(refute_0_8566,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) = product(bigC(a,a,c),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8567,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) = product(bigC(a,a,c),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) )],[refute_0_8565,refute_0_8566]) ).

cnf(refute_0_8568,plain,
    product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) = product(bigC(a,a,c),product(c,X_67)),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,c)) )],[refute_0_1765,refute_0_8567]) ).

cnf(refute_0_8569,plain,
    ( product(bigC(a,a,bigC(c,a,b)),product(c,X_67)) != product(bigC(a,a,c),product(c,X_67))
    | product(product(c,a),product(product(a,b),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,c),product(c,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(a,b),X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) ),[1],$fot(product(bigC(a,a,c),product(c,X_67)))]]) ).

cnf(refute_0_8570,plain,
    ( product(product(c,a),product(product(a,b),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,c),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),product(c,X_67)),product(bigC(a,a,c),product(c,X_67))) )],[refute_0_8568,refute_0_8569]) ).

cnf(refute_0_8571,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),X_67)) != product(bigC(a,a,bigC(c,a,b)),product(c,X_67))
    | product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,c),product(c,X_67)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) )],[refute_0_8564,refute_0_8570]) ).

cnf(refute_0_8572,plain,
    product(product(c,a),product(product(a,b),X_67)) = product(bigC(a,a,c),product(c,X_67)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),X_67)),product(bigC(a,a,bigC(c,a,b)),product(c,X_67))) )],[refute_0_8558,refute_0_8571]) ).

cnf(refute_0_8573,plain,
    product(product(c,a),product(product(a,b),b)) = product(bigC(a,a,c),product(c,b)),
    inference(subst,[],[refute_0_8572:[bind(X_67,$fot(b))]]) ).

cnf(refute_0_8574,plain,
    product(product(c,product(a,b)),product(a,b)) = product(product(c,a),product(product(a,b),b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_8575,plain,
    ( product(product(c,a),product(product(a,b),b)) != product(bigC(a,a,c),product(c,b))
    | product(product(c,product(a,b)),product(a,b)) != product(product(c,a),product(product(a,b),b))
    | product(product(c,product(a,b)),product(a,b)) = product(bigC(a,a,c),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,b)),product(a,b)))),bind(Y,$fot(product(product(c,a),product(product(a,b),b)))),bind(Z,$fot(product(bigC(a,a,c),product(c,b))))]]) ).

cnf(refute_0_8576,plain,
    ( product(product(c,a),product(product(a,b),b)) != product(bigC(a,a,c),product(c,b))
    | product(product(c,product(a,b)),product(a,b)) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(a,b)),product(product(c,a),product(product(a,b),b))) )],[refute_0_8574,refute_0_8575]) ).

cnf(refute_0_8577,plain,
    product(product(c,product(a,b)),product(a,b)) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),b)),product(bigC(a,a,c),product(c,b))) )],[refute_0_8573,refute_0_8576]) ).

cnf(refute_0_8578,plain,
    ( product(product(c,product(a,b)),product(a,b)) != product(bigC(a,a,c),product(c,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(c,product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(bigC(a,a,c),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(a,b),product(product(a,b),product(product(a,b),c))))),bind(Y,$fot(product(product(c,product(a,b)),product(a,b)))),bind(Z,$fot(product(bigC(a,a,c),product(c,b))))]]) ).

cnf(refute_0_8579,plain,
    ( product(product(c,product(a,b)),product(a,b)) != product(bigC(a,a,c),product(c,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(product(c,product(a,b)),product(a,b))) )],[refute_0_8547,refute_0_8578]) ).

cnf(refute_0_8580,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),c))) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(a,b)),product(bigC(a,a,c),product(c,b))) )],[refute_0_8577,refute_0_8579]) ).

cnf(refute_0_8581,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(bigC(a,a,c),product(c,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(a,product(b,c)),product(a,b))
    | product(bigC(a,a,c),product(c,b)) = product(product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(product(a,product(b,c)),product(a,b))) ),[0],$fot(product(bigC(a,a,c),product(c,b)))]]) ).

cnf(refute_0_8582,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(a,product(b,c)),product(a,b))
    | product(bigC(a,a,c),product(c,b)) = product(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(bigC(a,a,c),product(c,b))) )],[refute_0_8580,refute_0_8581]) ).

cnf(refute_0_8583,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_8584,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_8585,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_8583,refute_0_8584]) ).

cnf(refute_0_8586,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_3659,refute_0_8585]) ).

cnf(refute_0_8587,plain,
    product(product(a,product(b,c)),product(a,b)) = product(a,product(product(b,c),b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(b,c))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_8588,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,b,c))
    | product(product(a,product(b,c)),product(a,b)) != product(a,product(product(b,c),b))
    | product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),product(a,b)))),bind(Y,$fot(product(a,product(product(b,c),b)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_8589,plain,
    ( product(a,product(product(b,c),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(a,product(product(b,c),b))) )],[refute_0_8587,refute_0_8588]) ).

cnf(refute_0_8590,plain,
    product(product(a,product(b,c)),product(a,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_8586,refute_0_8589]) ).

cnf(refute_0_8591,plain,
    ( product(bigC(a,a,c),product(c,b)) != product(product(a,product(b,c)),product(a,b))
    | product(product(a,product(b,c)),product(a,b)) != product(a,bigC(b,b,c))
    | product(bigC(a,a,c),product(c,b)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(c,b)),product(a,bigC(b,b,c))) ),[0],$fot(product(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_8592,plain,
    ( product(bigC(a,a,c),product(c,b)) != product(product(a,product(b,c)),product(a,b))
    | product(bigC(a,a,c),product(c,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_8590,refute_0_8591]) ).

cnf(refute_0_8593,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),c))) != product(product(a,product(b,c)),product(a,b))
    | product(bigC(a,a,c),product(c,b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),product(a,b))) )],[refute_0_8582,refute_0_8592]) ).

cnf(refute_0_8594,plain,
    product(bigC(a,a,c),product(c,b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),c))),product(product(a,product(b,c)),product(a,b))) )],[refute_0_8550,refute_0_8593]) ).

cnf(refute_0_8595,plain,
    ( product(bigC(a,a,c),product(c,b)) != product(a,bigC(b,b,c))
    | product(bigC(a,a,c),product(product(c,b),X_26)) != product(product(bigC(a,a,c),product(c,b)),product(bigC(a,a,c),X_26))
    | product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),X_26)),product(product(bigC(a,a,c),product(c,b)),product(bigC(a,a,c),X_26))) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_8596,plain,
    ( product(bigC(a,a,c),product(product(c,b),X_26)) != product(product(bigC(a,a,c),product(c,b)),product(bigC(a,a,c),X_26))
    | product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,b)),product(a,bigC(b,b,c))) )],[refute_0_8594,refute_0_8595]) ).

cnf(refute_0_8597,plain,
    product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),X_26)),product(product(bigC(a,a,c),product(c,b)),product(bigC(a,a,c),X_26))) )],[refute_0_8546,refute_0_8596]) ).

cnf(refute_0_8598,plain,
    product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)) = product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(a)),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(X_26))]]) ).

cnf(refute_0_8599,plain,
    ( product(bigC(a,a,c),product(product(c,b),X_26)) != product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26))
    | product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)) != product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))
    | product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(product(c,b),X_26)),product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))) ),[0],$fot(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)))]]) ).

cnf(refute_0_8600,plain,
    ( product(bigC(a,a,c),product(product(c,b),X_26)) != product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26))
    | product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26)),product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))) )],[refute_0_8598,refute_0_8599]) ).

cnf(refute_0_8601,plain,
    product(bigC(a,a,c),product(product(c,b),X_26)) = product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),X_26)),product(product(a,bigC(b,b,c)),product(bigC(a,a,c),X_26))) )],[refute_0_8597,refute_0_8600]) ).

cnf(refute_0_8602,plain,
    ( product(bigC(a,a,c),product(product(c,b),X_26)) != product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))
    | product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)) = product(bigC(a,a,c),product(product(c,b),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,c),product(product(c,b),X_26)))),bind(Y,$fot(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))))]]) ).

cnf(refute_0_8603,plain,
    product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26)) = product(bigC(a,a,c),product(product(c,b),X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),X_26)),product(product(a,bigC(a,a,c)),product(bigC(b,b,c),X_26))) )],[refute_0_8601,refute_0_8602]) ).

cnf(refute_0_8604,plain,
    product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_8603:[bind(X_26,$fot(b))]]) ).

cnf(refute_0_8605,plain,
    product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) = product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(a)),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_8606,plain,
    ( product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)) != product(bigC(a,a,c),product(product(c,b),b))
    | product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) != product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b))
    | product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) = product(bigC(a,a,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)))),bind(Y,$fot(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)))),bind(Z,$fot(product(bigC(a,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_8607,plain,
    ( product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)) != product(bigC(a,a,c),product(product(c,b),b))
    | product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) = product(bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)),product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b))) )],[refute_0_8605,refute_0_8606]) ).

cnf(refute_0_8608,plain,
    product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) = product(bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),b)),product(bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8604,refute_0_8607]) ).

cnf(refute_0_8609,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_79:[bind(X_15,$fot(c)),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_8610,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8611,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(c,product(a,b)),product(a,b)),product(a,b)) = 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_4299,refute_0_8610]) ).

cnf(refute_0_8612,plain,
    difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(product(a,b),product(c,product(c,b))),
    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_8609,refute_0_8611]) ).

cnf(refute_0_8613,plain,
    product(product(a,b),product(product(a,b),c)) = product(c,product(product(a,b),b)),
    inference(subst,[],[refute_0_5307:[bind(X_66,$fot(product(a,b)))]]) ).

cnf(refute_0_8614,plain,
    difference(product(product(c,a),product(product(a,b),b)),product(a,b)) = product(product(a,b),product(product(a,b),c)),
    inference(subst,[],[refute_0_1009:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_29,$fot(c))]]) ).

cnf(refute_0_8615,plain,
    ( difference(product(product(c,a),product(product(a,b),b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | product(product(a,b),product(product(a,b),c)) != product(c,product(product(a,b),b))
    | difference(product(product(c,a),product(product(a,b),b)),product(a,b)) = product(c,product(product(a,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,a),product(product(a,b),b)),product(a,b)))),bind(Y,$fot(product(product(a,b),product(product(a,b),c)))),bind(Z,$fot(product(c,product(product(a,b),b))))]]) ).

cnf(refute_0_8616,plain,
    ( product(product(a,b),product(product(a,b),c)) != product(c,product(product(a,b),b))
    | difference(product(product(c,a),product(product(a,b),b)),product(a,b)) = product(c,product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),product(product(a,b),b)),product(a,b)),product(product(a,b),product(product(a,b),c))) )],[refute_0_8614,refute_0_8615]) ).

cnf(refute_0_8617,plain,
    difference(product(product(c,a),product(product(a,b),b)),product(a,b)) = product(c,product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),c)),product(c,product(product(a,b),b))) )],[refute_0_8613,refute_0_8616]) ).

cnf(refute_0_8618,plain,
    difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = difference(product(product(c,a),product(product(a,b),b)),product(a,b)),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_8619,plain,
    ( difference(product(product(c,a),product(product(a,b),b)),product(a,b)) != product(c,product(product(a,b),b))
    | difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != difference(product(product(c,a),product(product(a,b),b)),product(a,b))
    | difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(c,product(product(a,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)))),bind(Y,$fot(difference(product(product(c,a),product(product(a,b),b)),product(a,b)))),bind(Z,$fot(product(c,product(product(a,b),b))))]]) ).

cnf(refute_0_8620,plain,
    ( difference(product(product(c,a),product(product(a,b),b)),product(a,b)) != product(c,product(product(a,b),b))
    | difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(c,product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),difference(product(product(c,a),product(product(a,b),b)),product(a,b))) )],[refute_0_8618,refute_0_8619]) ).

cnf(refute_0_8621,plain,
    difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(c,product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),product(product(a,b),b)),product(a,b)),product(c,product(product(a,b),b))) )],[refute_0_8617,refute_0_8620]) ).

cnf(refute_0_8622,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(c,product(product(a,b),b))
    | difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(c,product(c,b)))
    | product(c,product(product(a,b),b)) = product(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(c,product(c,b)))) ),[0],$fot(product(c,product(product(a,b),b)))]]) ).

cnf(refute_0_8623,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(c,product(c,b)))
    | product(c,product(product(a,b),b)) = product(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(c,product(product(a,b),b))) )],[refute_0_8621,refute_0_8622]) ).

cnf(refute_0_8624,plain,
    ( product(c,product(product(a,b),b)) != product(product(a,b),product(c,product(c,b)))
    | product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | product(c,product(product(a,b),b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(a,b),b)),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_8625,plain,
    ( product(c,product(product(a,b),b)) != product(product(a,b),product(c,product(c,b)))
    | product(c,product(product(a,b),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_5102,refute_0_8624]) ).

cnf(refute_0_8626,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(c,product(c,b)))
    | product(c,product(product(a,b),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),b)),product(product(a,b),product(c,product(c,b)))) )],[refute_0_8623,refute_0_8625]) ).

cnf(refute_0_8627,plain,
    product(c,product(product(a,b),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(c,product(c,b)))) )],[refute_0_8612,refute_0_8626]) ).

cnf(refute_0_8628,plain,
    bigC(c,B,difference(b,product(c,b))) = product(product(c,B),product(difference(b,product(c,b)),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(C,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_8629,plain,
    ( bigC(c,B,difference(b,product(c,b))) != product(product(c,B),product(difference(b,product(c,b)),c))
    | product(difference(b,product(c,b)),c) != product(c,b)
    | bigC(c,B,difference(b,product(c,b))) = product(product(c,B),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(b,product(c,b))),product(product(c,B),product(difference(b,product(c,b)),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_8630,plain,
    ( bigC(c,B,difference(b,product(c,b))) != product(product(c,B),product(difference(b,product(c,b)),c))
    | bigC(c,B,difference(b,product(c,b))) = product(product(c,B),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,b)),c),product(c,b)) )],[refute_0_4373,refute_0_8629]) ).

cnf(refute_0_8631,plain,
    bigC(c,B,difference(b,product(c,b))) = product(product(c,B),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(b,product(c,b))),product(product(c,B),product(difference(b,product(c,b)),c))) )],[refute_0_8628,refute_0_8630]) ).

cnf(refute_0_8632,plain,
    product(product(c,B),product(c,b)) = product(c,product(B,b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(B)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_8633,plain,
    ( bigC(c,B,difference(b,product(c,b))) != product(product(c,B),product(c,b))
    | product(product(c,B),product(c,b)) != product(c,product(B,b))
    | bigC(c,B,difference(b,product(c,b))) = product(c,product(B,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,difference(b,product(c,b))),product(c,product(B,b))) ),[0],$fot(product(product(c,B),product(c,b)))]]) ).

cnf(refute_0_8634,plain,
    ( bigC(c,B,difference(b,product(c,b))) != product(product(c,B),product(c,b))
    | bigC(c,B,difference(b,product(c,b))) = product(c,product(B,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,b)),product(c,product(B,b))) )],[refute_0_8632,refute_0_8633]) ).

cnf(refute_0_8635,plain,
    bigC(c,B,difference(b,product(c,b))) = product(c,product(B,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(b,product(c,b))),product(product(c,B),product(c,b))) )],[refute_0_8631,refute_0_8634]) ).

cnf(refute_0_8636,plain,
    bigC(c,product(a,b),difference(b,product(c,b))) = product(c,product(product(a,b),b)),
    inference(subst,[],[refute_0_8635:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_8637,plain,
    ( bigC(c,product(a,b),difference(b,product(c,b))) != product(c,product(product(a,b),b))
    | product(c,product(product(a,b),b)) != product(bigC(a,a,c),b)
    | bigC(c,product(a,b),difference(b,product(c,b))) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,b),difference(b,product(c,b))))),bind(Y,$fot(product(c,product(product(a,b),b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_8638,plain,
    ( product(c,product(product(a,b),b)) != product(bigC(a,a,c),b)
    | bigC(c,product(a,b),difference(b,product(c,b))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),difference(b,product(c,b))),product(c,product(product(a,b),b))) )],[refute_0_8636,refute_0_8637]) ).

cnf(refute_0_8639,plain,
    bigC(c,product(a,b),difference(b,product(c,b))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),b)),product(bigC(a,a,c),b)) )],[refute_0_8627,refute_0_8638]) ).

cnf(refute_0_8640,plain,
    product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))))]]) ).

cnf(refute_0_8641,plain,
    ( bigC(c,product(a,b),difference(b,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))) ),[1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_8642,plain,
    ( bigC(c,product(a,b),difference(b,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b))))) )],[refute_0_8640,refute_0_8641]) ).

cnf(refute_0_8643,plain,
    product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),difference(b,product(c,b))),product(bigC(a,a,c),b)) )],[refute_0_8639,refute_0_8642]) ).

cnf(refute_0_8644,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b))
    | product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) != product(bigC(a,a,c),product(product(c,b),b))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(bigC(a,a,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))))),bind(Y,$fot(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)))),bind(Z,$fot(product(bigC(a,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_8645,plain,
    ( product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)) != product(bigC(a,a,c),product(product(c,b),b))
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(bigC(a,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b))) )],[refute_0_8643,refute_0_8644]) ).

cnf(refute_0_8646,plain,
    product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) = product(bigC(a,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),b)),product(bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8608,refute_0_8645]) ).

cnf(refute_0_8647,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(a,b)
    | product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(bigC(a,a,c),product(product(c,b),b))
    | product(bigC(a,a,c),product(product(c,b),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(a,b)) ),[0],$fot(product(bigC(a,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_8648,plain,
    ( product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))) != product(a,b)
    | product(bigC(a,a,c),product(product(c,b),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8646,refute_0_8647]) ).

cnf(refute_0_8649,plain,
    product(bigC(a,a,c),product(product(c,b),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(c,product(a,b),difference(b,product(c,b)))),product(a,b)) )],[refute_0_8545,refute_0_8648]) ).

cnf(refute_0_8650,plain,
    ( product(bigC(a,a,c),product(product(c,b),b)) != product(a,b)
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(product(c,b),b))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(product(c,b),b))) ),[1],$fot(product(a,b))]]) ).

cnf(refute_0_8651,plain,
    ( quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(product(c,b),b))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),b)),product(a,b)) )],[refute_0_8649,refute_0_8650]) ).

cnf(refute_0_8652,plain,
    quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(product(c,b),b))) )],[refute_0_8282,refute_0_8651]) ).

cnf(refute_0_8653,plain,
    ( bigC(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(a,b)
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_8654,plain,
    ( bigC(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),product(a,b)) )],[refute_0_8652,refute_0_8653]) ).

cnf(refute_0_8655,plain,
    bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) )],[refute_0_7599,refute_0_8654]) ).

cnf(refute_0_8656,plain,
    product(product(a,bigC(a,a,c)),bigC(b,b,a)) = product(product(a,bigC(a,a,c)),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,c)),bigC(b,b,a)))]]) ).

cnf(refute_0_8657,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(a,a,c)),bigC(b,b,a)) != product(product(a,bigC(a,a,c)),bigC(b,b,a))
    | product(product(a,bigC(a,a,c)),bigC(b,b,a)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,b,a)),product(product(a,bigC(a,a,c)),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_8658,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(product(a,bigC(a,a,c)),bigC(b,b,a)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,b,a)),product(product(a,bigC(a,a,c)),bigC(b,b,a))) )],[refute_0_8656,refute_0_8657]) ).

cnf(refute_0_8659,plain,
    product(product(a,bigC(a,a,c)),bigC(b,b,a)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_1307,refute_0_8658]) ).

cnf(refute_0_8660,plain,
    bigC(product(a,b),product(a,b),bigC(a,a,c)) = product(product(a,bigC(a,a,c)),bigC(b,b,a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(a,a,c))),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_8661,plain,
    ( bigC(product(a,b),product(a,b),bigC(a,a,c)) != product(product(a,bigC(a,a,c)),bigC(b,b,a))
    | product(product(a,bigC(a,a,c)),bigC(b,b,a)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(a,a,c)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),bigC(a,a,c)))),bind(Y,$fot(product(product(a,bigC(a,a,c)),bigC(b,b,a)))),bind(Z,$fot(product(product(a,bigC(a,a,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_8662,plain,
    ( product(product(a,bigC(a,a,c)),bigC(b,b,a)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),bigC(a,a,c)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,a,c)),product(product(a,bigC(a,a,c)),bigC(b,b,a))) )],[refute_0_8660,refute_0_8661]) ).

cnf(refute_0_8663,plain,
    bigC(product(a,b),product(a,b),bigC(a,a,c)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,b,a)),product(product(a,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_8659,refute_0_8662]) ).

cnf(refute_0_8664,plain,
    bigC(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),X_19) = product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)))),bind(X_17,$fot(product(a,b)))]]) ).

cnf(refute_0_8665,plain,
    ( bigC(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),X_19) != product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))
    | difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))) != bigC(a,a,c)
    | bigC(product(a,b),bigC(a,a,c),X_19) = product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),X_19),product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))) ),[0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8666,plain,
    ( bigC(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),X_19) != product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))
    | bigC(product(a,b),bigC(a,a,c),X_19) = product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),bigC(a,a,c)) )],[refute_0_8270,refute_0_8665]) ).

cnf(refute_0_8667,plain,
    bigC(product(a,b),bigC(a,a,c),X_19) = product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b))),X_19),product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))) )],[refute_0_8664,refute_0_8666]) ).

cnf(refute_0_8668,plain,
    bigC(product(a,b),X_19,product(product(a,c),a)) = bigC(product(a,b),X_19,product(product(a,c),a)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),X_19,product(product(a,c),a)))]]) ).

cnf(refute_0_8669,plain,
    ( bigC(product(a,b),X_19,product(product(a,c),a)) != bigC(product(a,b),X_19,product(product(a,c),a))
    | product(product(a,c),a) != bigC(a,a,c)
    | bigC(product(a,b),X_19,product(product(a,c),a)) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_19,product(product(a,c),a)),bigC(product(a,b),X_19,product(product(a,c),a))) ),[1,2],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8670,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | bigC(product(a,b),X_19,product(product(a,c),a)) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_19,product(product(a,c),a)),bigC(product(a,b),X_19,product(product(a,c),a))) )],[refute_0_8668,refute_0_8669]) ).

cnf(refute_0_8671,plain,
    bigC(product(a,b),X_19,product(product(a,c),a)) = bigC(product(a,b),X_19,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_6734,refute_0_8670]) ).

cnf(refute_0_8672,plain,
    product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,product(product(a,c),a)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_19)),bind(X_23,$fot(product(a,c))),bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_8673,plain,
    ( bigC(product(a,b),X_19,product(product(a,c),a)) != bigC(product(a,b),X_19,bigC(a,a,c))
    | product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) != bigC(product(a,b),X_19,product(product(a,c),a))
    | product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,product(a,c)),product(X_19,product(a,b))))),bind(Y,$fot(bigC(product(a,b),X_19,product(product(a,c),a)))),bind(Z,$fot(bigC(product(a,b),X_19,bigC(a,a,c))))]]) ).

cnf(refute_0_8674,plain,
    ( bigC(product(a,b),X_19,product(product(a,c),a)) != bigC(product(a,b),X_19,bigC(a,a,c))
    | product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(X_19,product(a,b))),bigC(product(a,b),X_19,product(product(a,c),a))) )],[refute_0_8672,refute_0_8673]) ).

cnf(refute_0_8675,plain,
    product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_19,product(product(a,c),a)),bigC(product(a,b),X_19,bigC(a,a,c))) )],[refute_0_8671,refute_0_8674]) ).

cnf(refute_0_8676,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))))]]) ).

cnf(refute_0_8677,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) != bigC(a,b,product(a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) != product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))) ),[1,0],$fot(bigC(a,b,product(a,c)))]]) ).

cnf(refute_0_8678,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)) != bigC(a,b,product(a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))) )],[refute_0_8676,refute_0_8677]) ).

cnf(refute_0_8679,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = product(bigC(a,b,product(a,c)),product(X_19,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),bigC(a,b,product(a,c))) )],[refute_0_8279,refute_0_8678]) ).

cnf(refute_0_8680,plain,
    ( product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) != bigC(product(a,b),X_19,bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) != product(bigC(a,b,product(a,c)),product(X_19,product(a,b)))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))))),bind(Y,$fot(product(bigC(a,b,product(a,c)),product(X_19,product(a,b))))),bind(Z,$fot(bigC(product(a,b),X_19,bigC(a,a,c))))]]) ).

cnf(refute_0_8681,plain,
    ( product(bigC(a,b,product(a,c)),product(X_19,product(a,b))) != bigC(product(a,b),X_19,bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),product(bigC(a,b,product(a,c)),product(X_19,product(a,b)))) )],[refute_0_8679,refute_0_8680]) ).

cnf(refute_0_8682,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) = bigC(product(a,b),X_19,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(X_19,product(a,b))),bigC(product(a,b),X_19,bigC(a,a,c))) )],[refute_0_8675,refute_0_8681]) ).

cnf(refute_0_8683,plain,
    ( bigC(product(a,b),bigC(a,a,c),X_19) != product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))) != bigC(product(a,b),X_19,bigC(a,a,c))
    | bigC(product(a,b),bigC(a,a,c),X_19) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),bigC(a,a,c),X_19),bigC(product(a,b),X_19,bigC(a,a,c))) ),[0],$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))))]]) ).

cnf(refute_0_8684,plain,
    ( bigC(product(a,b),bigC(a,a,c),X_19) != product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))
    | bigC(product(a,b),bigC(a,a,c),X_19) = bigC(product(a,b),X_19,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b))),bigC(product(a,b),X_19,bigC(a,a,c))) )],[refute_0_8682,refute_0_8683]) ).

cnf(refute_0_8685,plain,
    bigC(product(a,b),bigC(a,a,c),X_19) = bigC(product(a,b),X_19,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),X_19),product(bigC(bigC(a,a,c),bigC(a,a,c),product(product(c,b),b)),product(X_19,product(a,b)))) )],[refute_0_8667,refute_0_8684]) ).

cnf(refute_0_8686,plain,
    bigC(product(a,b),bigC(a,a,c),product(a,b)) = bigC(product(a,b),product(a,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_8685:[bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_8687,plain,
    ( bigC(product(a,b),bigC(a,a,c),product(a,b)) != bigC(product(a,b),product(a,b),bigC(a,a,c))
    | bigC(product(a,b),product(a,b),bigC(a,a,c)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),bigC(a,a,c),product(a,b)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),bigC(a,a,c),product(a,b)))),bind(Y,$fot(bigC(product(a,b),product(a,b),bigC(a,a,c)))),bind(Z,$fot(product(product(a,bigC(a,a,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_8688,plain,
    ( bigC(product(a,b),product(a,b),bigC(a,a,c)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),bigC(a,a,c),product(a,b)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),product(a,b)),bigC(product(a,b),product(a,b),bigC(a,a,c))) )],[refute_0_8686,refute_0_8687]) ).

cnf(refute_0_8689,plain,
    bigC(product(a,b),bigC(a,a,c),product(a,b)) = product(product(a,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(a,a,c)),product(product(a,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_8663,refute_0_8688]) ).

cnf(refute_0_8690,plain,
    bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_8691,plain,
    ( bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(a,b)
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = bigC(product(a,b),bigC(a,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) ),[1,2],$fot(product(a,b))]]) ).

cnf(refute_0_8692,plain,
    ( quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(a,b)
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = bigC(product(a,b),bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) )],[refute_0_8690,refute_0_8691]) ).

cnf(refute_0_8693,plain,
    bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = bigC(product(a,b),bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),product(a,b)) )],[refute_0_8652,refute_0_8692]) ).

cnf(refute_0_8694,plain,
    ( bigC(product(a,b),bigC(a,a,c),product(a,b)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != bigC(product(a,b),bigC(a,a,c),product(a,b))
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))))),bind(Y,$fot(bigC(product(a,b),bigC(a,a,c),product(a,b)))),bind(Z,$fot(product(product(a,bigC(a,a,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_8695,plain,
    ( bigC(product(a,b),bigC(a,a,c),product(a,b)) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(product(a,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),bigC(product(a,b),bigC(a,a,c),product(a,b))) )],[refute_0_8693,refute_0_8694]) ).

cnf(refute_0_8696,plain,
    bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(product(a,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),product(a,b)),product(product(a,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_8689,refute_0_8695]) ).

cnf(refute_0_8697,plain,
    ( bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(product(a,bigC(a,a,c)),bigC(b,a,b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) ),[0],$fot(product(product(a,bigC(a,a,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_8698,plain,
    ( bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(product(a,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_8696,refute_0_8697]) ).

cnf(refute_0_8699,plain,
    product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_8700,plain,
    ( product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(a,b)
    | product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_8701,plain,
    ( quotient(bigC(a,b,product(a,c)),bigC(a,a,c)) != product(a,b)
    | product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) )],[refute_0_8699,refute_0_8700]) ).

cnf(refute_0_8702,plain,
    product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) = product(bigC(a,b,product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,c)),bigC(a,a,c)),product(a,b)) )],[refute_0_8652,refute_0_8701]) ).

cnf(refute_0_8703,plain,
    ( product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),product(a,b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) ),[1],$fot(product(bigC(a,b,product(a,c)),product(a,b)))]]) ).

cnf(refute_0_8704,plain,
    ( product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),product(a,b))) )],[refute_0_8702,refute_0_8703]) ).

cnf(refute_0_8705,plain,
    ( bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))) != product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) )],[refute_0_8698,refute_0_8704]) ).

cnf(refute_0_8706,plain,
    product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,b,product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,a,c),quotient(bigC(a,b,product(a,c)),bigC(a,a,c))),product(bigC(a,b,product(a,c)),quotient(bigC(a,b,product(a,c)),bigC(a,a,c)))) )],[refute_0_8655,refute_0_8705]) ).

cnf(refute_0_8707,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(bigC(a,b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_8708,plain,
    product(bigC(a,a,b),product(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),c)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),
    inference(subst,[],[refute_0_2565:[bind(X_47,$fot(difference(product(a,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_8709,plain,
    difference(product(a,b),product(product(a,b),bigC(a,b,bigC(c,a,b)))) = bigC(a,b,bigC(c,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_8710,plain,
    ( difference(product(a,b),product(product(a,b),bigC(a,b,bigC(c,a,b)))) != bigC(a,b,bigC(c,a,b))
    | product(product(a,b),bigC(a,b,bigC(c,a,b))) != difference(product(a,product(c,b)),product(a,b))
    | difference(product(a,b),difference(product(a,product(c,b)),product(a,b))) = bigC(a,b,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(a,b,bigC(c,a,b)))),bigC(a,b,bigC(c,a,b))) ),[0,1],$fot(difference(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_8711,plain,
    ( difference(product(a,b),product(product(a,b),bigC(a,b,bigC(c,a,b)))) != bigC(a,b,bigC(c,a,b))
    | difference(product(a,b),difference(product(a,product(c,b)),product(a,b))) = bigC(a,b,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,bigC(c,a,b))),difference(product(a,product(c,b)),product(a,b))) )],[refute_0_6458,refute_0_8710]) ).

cnf(refute_0_8712,plain,
    difference(product(a,b),difference(product(a,product(c,b)),product(a,b))) = bigC(a,b,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(a,b,bigC(c,a,b)))),bigC(a,b,bigC(c,a,b))) )],[refute_0_8709,refute_0_8711]) ).

cnf(refute_0_8713,plain,
    ( difference(product(a,b),difference(product(a,product(c,b)),product(a,b))) != bigC(a,b,bigC(c,a,b))
    | product(bigC(a,a,b),product(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),c)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,c))
    | product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),c)),product(difference(product(a,product(c,b)),product(a,b)),product(a,c))) ),[0,1,0],$fot(bigC(a,b,bigC(c,a,b)))]]) ).

cnf(refute_0_8714,plain,
    ( product(bigC(a,a,b),product(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),c)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,c))
    | product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),bigC(a,b,bigC(c,a,b))) )],[refute_0_8712,refute_0_8713]) ).

cnf(refute_0_8715,plain,
    product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),difference(product(a,product(c,b)),product(a,b))),c)),product(difference(product(a,product(c,b)),product(a,b)),product(a,c))) )],[refute_0_8708,refute_0_8714]) ).

cnf(refute_0_8716,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,c))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(B,D))) ),[1,0],$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)))]]) ).

cnf(refute_0_8717,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(difference(product(a,product(c,b)),product(a,b)),product(a,c))) )],[refute_0_8715,refute_0_8716]) ).

cnf(refute_0_8718,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),product(bigC(a,b,bigC(c,a,b)),c)),product(B,D))) )],[refute_0_8707,refute_0_8717]) ).

cnf(refute_0_8719,plain,
    product(bigC(a,b,bigC(c,a,b)),c) = product(bigC(a,b,bigC(c,a,b)),c),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,a,b)),c))]]) ).

cnf(refute_0_8720,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),c) != product(bigC(a,b,bigC(c,a,b)),c)
    | product(bigC(a,b,bigC(c,a,b)),c) = product(bigC(a,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),c),product(bigC(a,b,bigC(c,a,b)),c)) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_8721,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),c) = product(bigC(a,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),c),product(bigC(a,b,bigC(c,a,b)),c)) )],[refute_0_8719,refute_0_8720]) ).

cnf(refute_0_8722,plain,
    product(bigC(a,b,bigC(c,a,b)),c) = product(bigC(a,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_8721]) ).

cnf(refute_0_8723,plain,
    product(product(bigC(a,b,bigC(c,a,b)),c),D) = product(product(bigC(a,b,bigC(c,a,b)),c),D),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,bigC(c,a,b)),c),D))]]) ).

cnf(refute_0_8724,plain,
    ( product(bigC(a,b,bigC(c,a,b)),c) != product(bigC(a,b,c),c)
    | product(product(bigC(a,b,bigC(c,a,b)),c),D) != product(product(bigC(a,b,bigC(c,a,b)),c),D)
    | product(product(bigC(a,b,bigC(c,a,b)),c),D) = product(product(bigC(a,b,c),c),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),c),D),product(product(bigC(a,b,bigC(c,a,b)),c),D)) ),[1,0],$fot(product(bigC(a,b,c),c))]]) ).

cnf(refute_0_8725,plain,
    ( product(bigC(a,b,bigC(c,a,b)),c) != product(bigC(a,b,c),c)
    | product(product(bigC(a,b,bigC(c,a,b)),c),D) = product(product(bigC(a,b,c),c),D) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),c),D),product(product(bigC(a,b,bigC(c,a,b)),c),D)) )],[refute_0_8723,refute_0_8724]) ).

cnf(refute_0_8726,plain,
    product(product(bigC(a,b,bigC(c,a,b)),c),D) = product(product(bigC(a,b,c),c),D),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),c),product(bigC(a,b,c),c)) )],[refute_0_8722,refute_0_8725]) ).

cnf(refute_0_8727,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)))]]) ).

cnf(refute_0_8728,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D))
    | product(product(bigC(a,b,bigC(c,a,b)),c),D) != product(product(bigC(a,b,c),c),D)
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D))) ),[1,1],$fot(product(product(bigC(a,b,c),c),D))]]) ).

cnf(refute_0_8729,plain,
    ( product(product(bigC(a,b,bigC(c,a,b)),c),D) != product(product(bigC(a,b,c),c),D)
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D))) )],[refute_0_8727,refute_0_8728]) ).

cnf(refute_0_8730,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) = product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),c),D),product(product(bigC(a,b,c),c),D)) )],[refute_0_8726,refute_0_8729]) ).

cnf(refute_0_8731,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)))]]) ).

cnf(refute_0_8732,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D))) )],[refute_0_8730,refute_0_8731]) ).

cnf(refute_0_8733,plain,
    product(product(product(a,b),a),product(bigC(a,b,c),c)) = product(product(product(a,b),a),product(bigC(a,b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(bigC(a,b,c),c)))]]) ).

cnf(refute_0_8734,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(a,b,c),c)) != product(product(product(a,b),a),product(bigC(a,b,c),c))
    | product(product(product(a,b),a),product(bigC(a,b,c),c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),c)),product(product(product(a,b),a),product(bigC(a,b,c),c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8735,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(a,b,c),c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),c)),product(product(product(a,b),a),product(bigC(a,b,c),c))) )],[refute_0_8733,refute_0_8734]) ).

cnf(refute_0_8736,plain,
    product(product(product(a,b),a),product(bigC(a,b,c),c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_6966,refute_0_8735]) ).

cnf(refute_0_8737,plain,
    product(product(product(a,b),bigC(a,b,c)),product(a,c)) = product(product(product(a,b),a),product(bigC(a,b,c),c)),
    inference(subst,[],[refute_0_2688:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_8738,plain,
    ( product(product(product(a,b),a),product(bigC(a,b,c),c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(product(product(a,b),bigC(a,b,c)),product(a,c)) != product(product(product(a,b),a),product(bigC(a,b,c),c))
    | product(product(product(a,b),bigC(a,b,c)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),bigC(a,b,c)),product(a,c)))),bind(Y,$fot(product(product(product(a,b),a),product(bigC(a,b,c),c)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,b,c),c))))]]) ).

cnf(refute_0_8739,plain,
    ( product(product(product(a,b),a),product(bigC(a,b,c),c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(product(product(a,b),bigC(a,b,c)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(a,c)),product(product(product(a,b),a),product(bigC(a,b,c),c))) )],[refute_0_8737,refute_0_8738]) ).

cnf(refute_0_8740,plain,
    product(product(product(a,b),bigC(a,b,c)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(a,b,c),c)),product(bigC(a,a,b),product(bigC(a,b,c),c))) )],[refute_0_8736,refute_0_8739]) ).

cnf(refute_0_8741,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)))]]) ).

cnf(refute_0_8742,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(product(product(a,b),bigC(a,b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(difference(product(a,product(c,b)),product(a,b)),product(a,c))) ),[1,0],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_8743,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(product(product(a,b),bigC(a,b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(difference(product(a,product(c,b)),product(a,b)),product(a,c))) )],[refute_0_8741,refute_0_8742]) ).

cnf(refute_0_8744,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(product(product(a,b),bigC(a,b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_8743]) ).

cnf(refute_0_8745,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) != product(product(product(a,b),bigC(a,b,c)),product(a,c))
    | product(product(product(a,b),bigC(a,b,c)),product(a,c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)))),bind(Y,$fot(product(product(product(a,b),bigC(a,b,c)),product(a,c)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,b,c),c))))]]) ).

cnf(refute_0_8746,plain,
    ( product(product(product(a,b),bigC(a,b,c)),product(a,c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(product(product(a,b),bigC(a,b,c)),product(a,c))) )],[refute_0_8744,refute_0_8745]) ).

cnf(refute_0_8747,plain,
    product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),product(a,c)),product(bigC(a,a,b),product(bigC(a,b,c),c))) )],[refute_0_8740,refute_0_8746]) ).

cnf(refute_0_8748,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)))]]) ).

cnf(refute_0_8749,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))) ),[1,0],$fot(product(bigC(a,a,b),product(bigC(a,b,c),c)))]]) ).

cnf(refute_0_8750,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))) )],[refute_0_8748,refute_0_8749]) ).

cnf(refute_0_8751,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(bigC(a,a,b),product(bigC(a,b,c),c))) )],[refute_0_8747,refute_0_8750]) ).

cnf(refute_0_8752,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) ),[0],$fot(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)))]]) ).

cnf(refute_0_8753,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) )],[refute_0_8751,refute_0_8752]) ).

cnf(refute_0_8754,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))) )],[refute_0_8732,refute_0_8753]) ).

cnf(refute_0_8755,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,bigC(c,a,b)),c),D)),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,c)),product(B,D))) )],[refute_0_8718,refute_0_8754]) ).

cnf(refute_0_8756,plain,
    product(bigC(a,b,c),c) = product(bigC(a,b,c),c),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),c))]]) ).

cnf(refute_0_8757,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),c) != product(bigC(a,b,c),c)
    | product(bigC(a,b,c),c) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),c),product(bigC(a,b,c),c)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8758,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),c) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),c),product(bigC(a,b,c),c)) )],[refute_0_8756,refute_0_8757]) ).

cnf(refute_0_8759,plain,
    product(bigC(a,b,c),c) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_8758]) ).

cnf(refute_0_8760,plain,
    ( product(bigC(a,b,c),c) != product(c,c)
    | product(c,c) != c
    | product(bigC(a,b,c),c) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,c),c))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_8761,plain,
    ( product(c,c) != c
    | product(bigC(a,b,c),c) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),c),product(c,c)) )],[refute_0_8759,refute_0_8760]) ).

cnf(refute_0_8762,plain,
    product(bigC(a,b,c),c) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_8761]) ).

cnf(refute_0_8763,plain,
    product(product(bigC(a,b,c),c),D) = product(product(bigC(a,b,c),c),D),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,c),c),D))]]) ).

cnf(refute_0_8764,plain,
    ( product(bigC(a,b,c),c) != c
    | product(product(bigC(a,b,c),c),D) != product(product(bigC(a,b,c),c),D)
    | product(product(bigC(a,b,c),c),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,c),c),D),product(product(bigC(a,b,c),c),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8765,plain,
    ( product(bigC(a,b,c),c) != c
    | product(product(bigC(a,b,c),c),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,c),c),D),product(product(bigC(a,b,c),c),D)) )],[refute_0_8763,refute_0_8764]) ).

cnf(refute_0_8766,plain,
    product(product(bigC(a,b,c),c),D) = product(c,D),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),c),c) )],[refute_0_8762,refute_0_8765]) ).

cnf(refute_0_8767,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)))]]) ).

cnf(refute_0_8768,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D))
    | product(product(bigC(a,b,c),c),D) != product(c,D)
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_8769,plain,
    ( product(product(bigC(a,b,c),c),D) != product(c,D)
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D))) )],[refute_0_8767,refute_0_8768]) ).

cnf(refute_0_8770,plain,
    product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) = product(product(bigC(a,a,b),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,c),c),D),product(c,D)) )],[refute_0_8766,refute_0_8769]) ).

cnf(refute_0_8771,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(bigC(a,a,b),B),product(c,D))
    | product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,b),B),product(c,D)))]]) ).

cnf(refute_0_8772,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),B),product(c,D))) )],[refute_0_8770,refute_0_8771]) ).

cnf(refute_0_8773,plain,
    product(bigC(a,a,b),product(bigC(a,b,c),c)) = product(bigC(a,a,b),product(bigC(a,b,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(a,b,c),c)))]]) ).

cnf(refute_0_8774,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),c)) != product(bigC(a,a,b),product(bigC(a,b,c),c))
    | product(bigC(a,b,c),c) != c
    | product(bigC(a,a,b),product(bigC(a,b,c),c)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(bigC(a,a,b),product(bigC(a,b,c),c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_8775,plain,
    ( product(bigC(a,b,c),c) != c
    | product(bigC(a,a,b),product(bigC(a,b,c),c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(bigC(a,a,b),product(bigC(a,b,c),c))) )],[refute_0_8773,refute_0_8774]) ).

cnf(refute_0_8776,plain,
    product(bigC(a,a,b),product(bigC(a,b,c),c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),c),c) )],[refute_0_8762,refute_0_8775]) ).

cnf(refute_0_8777,plain,
    product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) = product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)))]]) ).

cnf(refute_0_8778,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),c)) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) = product(product(bigC(a,a,b),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_8779,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),c)) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) = product(product(bigC(a,a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) )],[refute_0_8777,refute_0_8778]) ).

cnf(refute_0_8780,plain,
    product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) = product(product(bigC(a,a,b),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(bigC(a,a,b),c)) )],[refute_0_8776,refute_0_8779]) ).

cnf(refute_0_8781,plain,
    ( product(product(bigC(a,a,b),B),product(c,D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)) != product(product(bigC(a,a,b),c),product(B,D))
    | product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),B),product(c,D)),product(product(bigC(a,a,b),c),product(B,D))) ),[0],$fot(product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)))]]) ).

cnf(refute_0_8782,plain,
    ( product(product(bigC(a,a,b),B),product(c,D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D)),product(product(bigC(a,a,b),c),product(B,D))) )],[refute_0_8780,refute_0_8781]) ).

cnf(refute_0_8783,plain,
    ( product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)) != product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(c,D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) )],[refute_0_8772,refute_0_8782]) ).

cnf(refute_0_8784,plain,
    product(product(bigC(a,a,b),B),product(c,D)) = product(product(bigC(a,a,b),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(bigC(a,b,c),c),D)),product(product(bigC(a,a,b),product(bigC(a,b,c),c)),product(B,D))) )],[refute_0_8755,refute_0_8783]) ).

cnf(refute_0_8785,plain,
    ( product(product(bigC(a,a,b),B),product(c,D)) != product(product(bigC(a,a,b),c),product(B,D))
    | product(product(bigC(a,a,b),c),product(B,D)) = product(product(bigC(a,a,b),B),product(c,D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(bigC(a,a,b),B),product(c,D)))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(B,D))))]]) ).

cnf(refute_0_8786,plain,
    product(product(bigC(a,a,b),c),product(B,D)) = product(product(bigC(a,a,b),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(c,D)),product(product(bigC(a,a,b),c),product(B,D))) )],[refute_0_8784,refute_0_8785]) ).

cnf(refute_0_8787,plain,
    product(product(bigC(a,a,b),c),product(a,b)) = product(product(bigC(a,a,b),a),product(c,b)),
    inference(subst,[],[refute_0_8786:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_8788,plain,
    bigC(c,product(a,b),quotient(product(a,c),product(a,b))) = product(product(c,product(c,b)),product(a,c)),
    inference(subst,[],[refute_0_6418:[bind(X_44,$fot(product(a,c)))]]) ).

cnf(refute_0_8789,plain,
    ( bigC(c,product(a,b),quotient(product(a,c),product(a,b))) != product(product(c,product(c,b)),product(a,c))
    | quotient(product(a,c),product(a,b)) != product(c,a)
    | bigC(c,product(a,b),product(c,a)) = product(product(c,product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(product(a,c),product(a,b))),product(product(c,product(c,b)),product(a,c))) ),[0,2],$fot(product(c,a))]]) ).

cnf(refute_0_8790,plain,
    ( bigC(c,product(a,b),quotient(product(a,c),product(a,b))) != product(product(c,product(c,b)),product(a,c))
    | bigC(c,product(a,b),product(c,a)) = product(product(c,product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(c,a)) )],[refute_0_1844,refute_0_8789]) ).

cnf(refute_0_8791,plain,
    bigC(c,product(a,b),product(c,a)) = product(product(c,product(c,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(product(a,c),product(a,b))),product(product(c,product(c,b)),product(a,c))) )],[refute_0_8788,refute_0_8790]) ).

cnf(refute_0_8792,plain,
    product(product(a,b),bigC(c,a,a)) = product(product(a,b),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,a,a)))]]) ).

cnf(refute_0_8793,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(a,b),bigC(c,a,a)) != product(product(a,b),bigC(c,a,a))
    | product(product(a,b),bigC(c,a,a)) = product(product(a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,a,a)),product(product(a,b),bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8794,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(a,b),bigC(c,a,a)) = product(product(a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,a)),product(product(a,b),bigC(c,a,a))) )],[refute_0_8792,refute_0_8793]) ).

cnf(refute_0_8795,plain,
    product(product(a,b),bigC(c,a,a)) = product(product(a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_8794]) ).

cnf(refute_0_8796,plain,
    ( product(product(a,b),bigC(a,a,c)) != bigC(a,b,product(a,c))
    | product(product(a,b),bigC(c,a,a)) != product(product(a,b),bigC(a,a,c))
    | product(product(a,b),bigC(c,a,a)) = bigC(a,b,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),bigC(c,a,a)))),bind(Y,$fot(product(product(a,b),bigC(a,a,c)))),bind(Z,$fot(bigC(a,b,product(a,c))))]]) ).

cnf(refute_0_8797,plain,
    ( product(product(a,b),bigC(a,a,c)) != bigC(a,b,product(a,c))
    | product(product(a,b),bigC(c,a,a)) = bigC(a,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,a)),product(product(a,b),bigC(a,a,c))) )],[refute_0_8795,refute_0_8796]) ).

cnf(refute_0_8798,plain,
    product(product(a,b),bigC(c,a,a)) = bigC(a,b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),bigC(a,b,product(a,c))) )],[refute_0_8274,refute_0_8797]) ).

cnf(refute_0_8799,plain,
    bigC(c,product(a,b),product(c,a)) = product(product(a,b),bigC(c,a,a)),
    inference(subst,[],[refute_0_5233:[bind(B,$fot(a))]]) ).

cnf(refute_0_8800,plain,
    ( bigC(c,product(a,b),product(c,a)) != product(product(a,b),bigC(c,a,a))
    | product(product(a,b),bigC(c,a,a)) != bigC(a,b,product(a,c))
    | bigC(c,product(a,b),product(c,a)) = bigC(a,b,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,b),product(c,a)))),bind(Y,$fot(product(product(a,b),bigC(c,a,a)))),bind(Z,$fot(bigC(a,b,product(a,c))))]]) ).

cnf(refute_0_8801,plain,
    ( product(product(a,b),bigC(c,a,a)) != bigC(a,b,product(a,c))
    | bigC(c,product(a,b),product(c,a)) = bigC(a,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,a)),product(product(a,b),bigC(c,a,a))) )],[refute_0_8799,refute_0_8800]) ).

cnf(refute_0_8802,plain,
    bigC(c,product(a,b),product(c,a)) = bigC(a,b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,a)),bigC(a,b,product(a,c))) )],[refute_0_8798,refute_0_8801]) ).

cnf(refute_0_8803,plain,
    ( bigC(c,product(a,b),product(c,a)) != bigC(a,b,product(a,c))
    | bigC(c,product(a,b),product(c,a)) != product(product(c,product(c,b)),product(a,c))
    | bigC(a,b,product(a,c)) = product(product(c,product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),product(c,a)),product(product(c,product(c,b)),product(a,c))) ),[0],$fot(bigC(a,b,product(a,c)))]]) ).

cnf(refute_0_8804,plain,
    ( bigC(c,product(a,b),product(c,a)) != product(product(c,product(c,b)),product(a,c))
    | bigC(a,b,product(a,c)) = product(product(c,product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,a)),bigC(a,b,product(a,c))) )],[refute_0_8802,refute_0_8803]) ).

cnf(refute_0_8805,plain,
    ( product(bigC(c,a,c),c) != bigC(c,a,product(c,b))
    | product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(bigC(a,a,b),c) = bigC(c,a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),c),bigC(c,a,product(c,b))) ),[0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_8806,plain,
    ( product(bigC(c,a,c),c) != bigC(c,a,product(c,b))
    | product(bigC(a,a,b),c) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_2712,refute_0_8805]) ).

cnf(refute_0_8807,plain,
    product(bigC(a,a,b),c) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),bigC(c,a,product(c,b))) )],[refute_0_2665,refute_0_8806]) ).

cnf(refute_0_8808,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_16:[bind(X,$fot(product(bigC(a,a,b),c))),bind(Y,$fot(bigC(c,a,product(c,b))))]]) ).

cnf(refute_0_8809,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_8807,refute_0_8808]) ).

cnf(refute_0_8810,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(c,a),product(product(c,b),c)) != bigC(c,a,product(c,b))
    | product(product(c,a),product(product(c,b),c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,b),c)))),bind(Y,$fot(bigC(c,a,product(c,b)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_8811,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(c,a),product(product(c,b),c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),c)),bigC(c,a,product(c,b))) )],[refute_0_2668,refute_0_8810]) ).

cnf(refute_0_8812,plain,
    product(product(c,a),product(product(c,b),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_8809,refute_0_8811]) ).

cnf(refute_0_8813,plain,
    ( product(product(c,a),product(product(c,b),c)) != product(bigC(a,a,b),c)
    | product(product(c,product(c,b)),product(a,c)) != product(product(c,a),product(product(c,b),c))
    | product(product(c,product(c,b)),product(a,c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(a,c)))),bind(Y,$fot(product(product(c,a),product(product(c,b),c)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_8814,plain,
    ( product(product(c,a),product(product(c,b),c)) != product(bigC(a,a,b),c)
    | product(product(c,product(c,b)),product(a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),product(product(c,a),product(product(c,b),c))) )],[refute_0_2689,refute_0_8813]) ).

cnf(refute_0_8815,plain,
    product(product(c,product(c,b)),product(a,c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),c)),product(bigC(a,a,b),c)) )],[refute_0_8812,refute_0_8814]) ).

cnf(refute_0_8816,plain,
    ( bigC(a,b,product(a,c)) != product(product(c,product(c,b)),product(a,c))
    | product(product(c,product(c,b)),product(a,c)) != product(bigC(a,a,b),c)
    | bigC(a,b,product(a,c)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(a,c)),product(bigC(a,a,b),c)) ),[0],$fot(product(product(c,product(c,b)),product(a,c)))]]) ).

cnf(refute_0_8817,plain,
    ( bigC(a,b,product(a,c)) != product(product(c,product(c,b)),product(a,c))
    | bigC(a,b,product(a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),product(bigC(a,a,b),c)) )],[refute_0_8815,refute_0_8816]) ).

cnf(refute_0_8818,plain,
    ( bigC(c,product(a,b),product(c,a)) != product(product(c,product(c,b)),product(a,c))
    | bigC(a,b,product(a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,c)),product(product(c,product(c,b)),product(a,c))) )],[refute_0_8804,refute_0_8817]) ).

cnf(refute_0_8819,plain,
    bigC(a,b,product(a,c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,a)),product(product(c,product(c,b)),product(a,c))) )],[refute_0_8791,refute_0_8818]) ).

cnf(refute_0_8820,plain,
    product(bigC(a,b,product(a,c)),product(a,b)) = product(bigC(a,b,product(a,c)),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,c)),product(a,b)))]]) ).

cnf(refute_0_8821,plain,
    ( bigC(a,b,product(a,c)) != product(bigC(a,a,b),c)
    | product(bigC(a,b,product(a,c)),product(a,b)) != product(bigC(a,b,product(a,c)),product(a,b))
    | product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(a,b)),product(bigC(a,b,product(a,c)),product(a,b))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_8822,plain,
    ( bigC(a,b,product(a,c)) != product(bigC(a,a,b),c)
    | product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(a,b)),product(bigC(a,b,product(a,c)),product(a,b))) )],[refute_0_8820,refute_0_8821]) ).

cnf(refute_0_8823,plain,
    product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,c)),product(bigC(a,a,b),c)) )],[refute_0_8819,refute_0_8822]) ).

cnf(refute_0_8824,plain,
    ( product(bigC(a,b,product(a,c)),product(a,b)) != product(product(bigC(a,a,b),c),product(a,b))
    | product(product(bigC(a,a,b),c),product(a,b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,product(a,c)),product(a,b)))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(a,b)))),bind(Z,$fot(product(product(bigC(a,a,b),a),product(c,b))))]]) ).

cnf(refute_0_8825,plain,
    ( product(product(bigC(a,a,b),c),product(a,b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(a,b)),product(product(bigC(a,a,b),c),product(a,b))) )],[refute_0_8823,refute_0_8824]) ).

cnf(refute_0_8826,plain,
    product(bigC(a,b,product(a,c)),product(a,b)) = product(product(bigC(a,a,b),a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(a,b)),product(product(bigC(a,a,b),a),product(c,b))) )],[refute_0_8787,refute_0_8825]) ).

cnf(refute_0_8827,plain,
    ( product(bigC(a,b,product(a,c)),product(a,b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(bigC(a,b,product(a,c)),product(a,b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(bigC(a,b,product(a,c)),product(a,b))) ),[1],$fot(product(product(bigC(a,a,b),a),product(c,b)))]]) ).

cnf(refute_0_8828,plain,
    ( product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(bigC(a,b,product(a,c)),product(a,b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,c)),product(a,b)),product(product(bigC(a,a,b),a),product(c,b))) )],[refute_0_8826,refute_0_8827]) ).

cnf(refute_0_8829,plain,
    product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(product(bigC(a,a,b),a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(bigC(a,b,product(a,c)),product(a,b))) )],[refute_0_8706,refute_0_8828]) ).

cnf(refute_0_8830,plain,
    product(product(a,bigC(a,a,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(subst,[],[refute_0_5034:[bind(X_97,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8831,plain,
    ( product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,a,b),product(bigC(a,a,c),b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(product(bigC(a,a,b),a),product(c,b))) ),[0],$fot(product(bigC(a,a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_8832,plain,
    ( product(product(a,bigC(a,a,c)),bigC(b,a,b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,a,b),product(bigC(a,a,c),b)) = product(product(bigC(a,a,b),a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_8830,refute_0_8831]) ).

cnf(refute_0_8833,plain,
    product(bigC(a,a,b),product(bigC(a,a,c),b)) = product(product(bigC(a,a,b),a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(b,a,b)),product(product(bigC(a,a,b),a),product(c,b))) )],[refute_0_8829,refute_0_8832]) ).

cnf(refute_0_8834,plain,
    product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_8835,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))
    | product(bigC(a,a,b),product(bigC(a,a,c),b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) ),[1,1],$fot(product(product(bigC(a,a,b),a),product(c,b)))]]) ).

cnf(refute_0_8836,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,c),b)) != product(product(bigC(a,a,b),a),product(c,b))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) )],[refute_0_8834,refute_0_8835]) ).

cnf(refute_0_8837,plain,
    product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,c),b)),product(product(bigC(a,a,b),a),product(c,b))) )],[refute_0_8833,refute_0_8836]) ).

cnf(refute_0_8838,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b)))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))),bind(Y,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))))),bind(Z,$fot(product(c,product(a,product(product(a,product(b,c)),b)))))]]) ).

cnf(refute_0_8839,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(c,product(a,product(product(a,product(b,c)),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b)))) )],[refute_0_8837,refute_0_8838]) ).

cnf(refute_0_8840,plain,
    product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(c,product(a,product(product(a,product(b,c)),b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),a),product(c,b))),product(c,product(a,product(product(a,product(b,c)),b)))) )],[refute_0_7598,refute_0_8839]) ).

cnf(refute_0_8841,plain,
    product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))))]]) ).

cnf(refute_0_8842,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))
    | product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))) ),[1,1],$fot(product(c,product(a,product(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_8843,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(c,product(a,product(product(a,product(b,c)),b)))
    | product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))) )],[refute_0_8841,refute_0_8842]) ).

cnf(refute_0_8844,plain,
    product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(c,product(a,product(product(a,product(b,c)),b)))) )],[refute_0_8840,refute_0_8843]) ).

cnf(refute_0_8845,plain,
    bigC(product(c,b),a,product(product(b,c),b)) = product(bigC(c,b,product(b,c)),product(a,b)),
    inference(subst,[],[refute_0_1116:[bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_8846,plain,
    difference(product(b,difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))) = bigC(c,b,product(b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(b,difference(bigC(c,a,c),c)))),bind(B,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_8847,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) = product(b,c),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(product(b,c),difference(bigC(c,a,c),c)))),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_8848,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(difference(bigC(c,b,c),product(b,c)))),bind(X_30,$fot(product(b,c)))]]) ).

cnf(refute_0_8849,plain,
    quotient(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)) = product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(b,c))),bind(X_44,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_8850,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | quotient(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)) != product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) ),[0,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_8851,plain,
    ( quotient(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)) != product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_8850]) ).

cnf(refute_0_8852,plain,
    quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_8849,refute_0_8851]) ).

cnf(refute_0_8853,plain,
    difference(product(product(c,a),product(b,c)),product(b,c)) = difference(product(product(c,a),product(b,c)),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,a),product(b,c)),product(b,c)))]]) ).

cnf(refute_0_8854,plain,
    ( difference(product(product(c,a),product(b,c)),product(b,c)) != difference(product(product(c,a),product(b,c)),product(b,c))
    | product(product(c,a),product(b,c)) != c
    | difference(product(product(c,a),product(b,c)),product(b,c)) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),product(b,c)),product(b,c)),difference(product(product(c,a),product(b,c)),product(b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8855,plain,
    ( product(product(c,a),product(b,c)) != c
    | difference(product(product(c,a),product(b,c)),product(b,c)) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),product(b,c)),product(b,c)),difference(product(product(c,a),product(b,c)),product(b,c))) )],[refute_0_8853,refute_0_8854]) ).

cnf(refute_0_8856,plain,
    difference(product(product(c,a),product(b,c)),product(b,c)) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,c)),c) )],[refute_0_2152,refute_0_8855]) ).

cnf(refute_0_8857,plain,
    product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) = difference(product(product(c,a),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_296:[bind(A,$fot(product(c,a))),bind(X_30,$fot(product(b,c)))]]) ).

cnf(refute_0_8858,plain,
    ( difference(product(product(c,a),product(b,c)),product(b,c)) != difference(c,product(b,c))
    | product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) != difference(product(product(c,a),product(b,c)),product(b,c))
    | product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) = difference(c,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))))),bind(Y,$fot(difference(product(product(c,a),product(b,c)),product(b,c)))),bind(Z,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_8859,plain,
    ( difference(product(product(c,a),product(b,c)),product(b,c)) != difference(c,product(b,c))
    | product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))),difference(product(product(c,a),product(b,c)),product(b,c))) )],[refute_0_8857,refute_0_8858]) ).

cnf(refute_0_8860,plain,
    product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),product(b,c)),product(b,c)),difference(c,product(b,c))) )],[refute_0_8856,refute_0_8859]) ).

cnf(refute_0_8861,plain,
    quotient(product(product(A,C),product(B,D)),product(A,C)) = product(product(A,C),quotient(product(B,D),product(A,C))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(product(A,C))),bind(X_44,$fot(product(B,D)))]]) ).

cnf(refute_0_8862,plain,
    ( product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | quotient(product(product(A,C),product(B,D)),product(A,C)) != product(product(A,C),quotient(product(B,D),product(A,C)))
    | quotient(product(product(A,B),product(C,D)),product(A,C)) = product(product(A,C),quotient(product(B,D),product(A,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(A,C),product(B,D)),product(A,C)),product(product(A,C),quotient(product(B,D),product(A,C)))) ),[0,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_8863,plain,
    ( quotient(product(product(A,C),product(B,D)),product(A,C)) != product(product(A,C),quotient(product(B,D),product(A,C)))
    | quotient(product(product(A,B),product(C,D)),product(A,C)) = product(product(A,C),quotient(product(B,D),product(A,C))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_29,refute_0_8862]) ).

cnf(refute_0_8864,plain,
    quotient(product(product(A,B),product(C,D)),product(A,C)) = product(product(A,C),quotient(product(B,D),product(A,C))),
    inference(resolve,[$cnf( $equal(quotient(product(product(A,C),product(B,D)),product(A,C)),product(product(A,C),quotient(product(B,D),product(A,C)))) )],[refute_0_8861,refute_0_8863]) ).

cnf(refute_0_8865,plain,
    quotient(product(product(b,c),product(c,a)),product(b,c)) = product(product(b,c),quotient(product(c,a),product(b,c))),
    inference(subst,[],[refute_0_8864:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_8866,plain,
    product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))))]]) ).

cnf(refute_0_8867,plain,
    ( product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) != product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))
    | quotient(product(product(b,c),product(c,a)),product(b,c)) != product(product(b,c),quotient(product(c,a),product(b,c)))
    | product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) ),[1,1],$fot(product(product(b,c),quotient(product(c,a),product(b,c))))]]) ).

cnf(refute_0_8868,plain,
    ( quotient(product(product(b,c),product(c,a)),product(b,c)) != product(product(b,c),quotient(product(c,a),product(b,c)))
    | product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_8866,refute_0_8867]) ).

cnf(refute_0_8869,plain,
    product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),product(c,a)),product(b,c)),product(product(b,c),quotient(product(c,a),product(b,c)))) )],[refute_0_8865,refute_0_8868]) ).

cnf(refute_0_8870,plain,
    ( product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) != difference(c,product(b,c))
    | product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) != product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c))))
    | product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = difference(c,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))))),bind(Y,$fot(product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))))),bind(Z,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_8871,plain,
    ( product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))) != difference(c,product(b,c))
    | product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c))))) )],[refute_0_8869,refute_0_8870]) ).

cnf(refute_0_8872,plain,
    product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),quotient(product(c,a),product(b,c)))),difference(c,product(b,c))) )],[refute_0_8860,refute_0_8871]) ).

cnf(refute_0_8873,plain,
    ( product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))) != difference(c,product(b,c))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) ),[1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_8874,plain,
    ( quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c))),difference(c,product(b,c))) )],[refute_0_8872,refute_0_8873]) ).

cnf(refute_0_8875,plain,
    quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(product(b,c),quotient(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_8852,refute_0_8874]) ).

cnf(refute_0_8876,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),quotient(difference(bigC(c,b,c),product(b,c)),product(b,c))))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)) != difference(c,product(b,c))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),quotient(difference(bigC(c,b,c),product(b,c)),product(b,c))))) ),[1,1,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_8877,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),quotient(difference(bigC(c,b,c),product(b,c)),product(b,c))))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,b,c),product(b,c)),product(b,c)),difference(c,product(b,c))) )],[refute_0_8875,refute_0_8876]) ).

cnf(refute_0_8878,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),quotient(difference(bigC(c,b,c),product(b,c)),product(b,c))))) )],[refute_0_8848,refute_0_8877]) ).

cnf(refute_0_8879,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(product(product(b,c),product(product(b,c),product(c,a))),product(b,c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(b,c))),bind(X_18,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_8880,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(b,c))
    | product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(product(product(b,c),product(product(b,c),product(c,a))),product(b,c))) ),[1,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_8881,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(b,c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_8880]) ).

cnf(refute_0_8882,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(product(product(b,c),product(product(b,c),product(c,a))),product(b,c))) )],[refute_0_8879,refute_0_8881]) ).

cnf(refute_0_8883,plain,
    product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),product(bigC(b,b,c),bigC(c,a,c))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,b,c))),bind(D,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_8884,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),bigC(c,a,b))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) != product(product(A,C),product(bigC(b,b,c),bigC(c,a,c)))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))),product(product(A,C),product(bigC(b,b,c),bigC(c,a,c)))) ),[1,1],$fot(difference(bigC(c,a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_8885,plain,
    ( product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) != product(product(A,C),product(bigC(b,b,c),bigC(c,a,c)))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),difference(bigC(c,a,c),bigC(c,a,b))) )],[refute_0_4854,refute_0_8884]) ).

cnf(refute_0_8886,plain,
    product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))),product(product(A,C),product(bigC(b,b,c),bigC(c,a,c)))) )],[refute_0_8883,refute_0_8885]) ).

cnf(refute_0_8887,plain,
    product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) = product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))))]]) ).

cnf(refute_0_8888,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) != product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))
    | product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) = product(product(A,C),difference(bigC(c,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))),product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))) ),[1,1],$fot(difference(bigC(c,a,c),c))]]) ).

cnf(refute_0_8889,plain,
    ( difference(bigC(c,a,c),bigC(c,a,b)) != difference(bigC(c,a,c),c)
    | product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) = product(product(A,C),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))),product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))) )],[refute_0_8887,refute_0_8888]) ).

cnf(refute_0_8890,plain,
    product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) = product(product(A,C),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),bigC(c,a,b)),difference(bigC(c,a,c),c)) )],[refute_0_2876,refute_0_8889]) ).

cnf(refute_0_8891,plain,
    ( product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))) != product(product(A,C),difference(bigC(c,a,c),c))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) != product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))),product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))) ),[1],$fot(product(product(A,C),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_8892,plain,
    ( product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) != product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))
    | product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b))),product(product(A,C),difference(bigC(c,a,c),c))) )],[refute_0_8890,refute_0_8891]) ).

cnf(refute_0_8893,plain,
    product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))) = product(product(A,C),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,bigC(c,a,c))),product(product(A,C),difference(bigC(c,a,c),bigC(c,a,b)))) )],[refute_0_8886,refute_0_8892]) ).

cnf(refute_0_8894,plain,
    product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(subst,[],[refute_0_8893:[bind(A,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_8895,plain,
    product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))))]]) ).

cnf(refute_0_8896,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(c,a,c))
    | product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) != product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a)))
    | product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))),product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a)))) ),[1,1],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_8897,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(c,a,c))
    | product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))),product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8895,refute_0_8896]) ).

cnf(refute_0_8898,plain,
    product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,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_980,refute_0_8897]) ).

cnf(refute_0_8899,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_8900,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_8901,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_8899,refute_0_8900]) ).

cnf(refute_0_8902,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_1082,refute_0_8901]) ).

cnf(refute_0_8903,plain,
    bigC(b,b,product(b,c)) = product(b,bigC(b,c,b)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(c)),bind(X_35,$fot(b))]]) ).

cnf(refute_0_8904,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_32:[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_8905,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_8903,refute_0_8904]) ).

cnf(refute_0_8906,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_8902,refute_0_8905]) ).

cnf(refute_0_8907,plain,
    product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))))]]) ).

cnf(refute_0_8908,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))) ),[1,0],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_8909,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8907,refute_0_8908]) ).

cnf(refute_0_8910,plain,
    product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,c)),product(b,bigC(b,b,c))) )],[refute_0_8906,refute_0_8909]) ).

cnf(refute_0_8911,plain,
    ( product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) != product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a)))
    | product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) != product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))))),bind(Y,$fot(product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))))),bind(Z,$fot(product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_8912,plain,
    ( product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))) != product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8910,refute_0_8911]) ).

cnf(refute_0_8913,plain,
    product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(b,b,c)),bigC(c,c,product(c,a))),product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))) )],[refute_0_8898,refute_0_8912]) ).

cnf(refute_0_8914,plain,
    ( product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) != product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))
    | product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))))),bind(Y,$fot(product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))))),bind(Z,$fot(product(product(b,c),difference(bigC(c,a,c),c))))]]) ).

cnf(refute_0_8915,plain,
    ( product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c)))) )],[refute_0_8913,refute_0_8914]) ).

cnf(refute_0_8916,plain,
    product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(b,b,c)),product(c,bigC(c,a,c))),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8894,refute_0_8915]) ).

cnf(refute_0_8917,plain,
    product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(product(b,c))),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(c))]]) ).

cnf(refute_0_8918,plain,
    bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) = product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(b,c),product(c,a)))),bind(X_65,$fot(b)),bind(X_66,$fot(c)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_8919,plain,
    ( bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) != product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b))
    | product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))))),bind(Y,$fot(product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)))),bind(Z,$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))))]]) ).

cnf(refute_0_8920,plain,
    ( product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))),product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b))) )],[refute_0_8918,refute_0_8919]) ).

cnf(refute_0_8921,plain,
    bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,c),product(c,a))),bigC(c,c,b)),product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8917,refute_0_8920]) ).

cnf(refute_0_8922,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(b,c))),bind(B,$fot(product(b,c))),bind(C,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_8923,plain,
    ( bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != bigC(product(b,c),product(b,c),product(product(b,c),product(c,a)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)))),bind(Y,$fot(bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))))),bind(Z,$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))))]]) ).

cnf(refute_0_8924,plain,
    ( bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),bigC(product(b,c),product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_8922,refute_0_8923]) ).

cnf(refute_0_8925,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(product(b,c),product(c,a))),product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8921,refute_0_8924]) ).

cnf(refute_0_8926,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))
    | product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) != product(product(b,c),difference(bigC(c,a,c),c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)))),bind(Y,$fot(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))))),bind(Z,$fot(product(product(b,c),difference(bigC(c,a,c),c))))]]) ).

cnf(refute_0_8927,plain,
    ( product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))) != product(product(b,c),difference(bigC(c,a,c),c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a)))) )],[refute_0_8925,refute_0_8926]) ).

cnf(refute_0_8928,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(b,c)),bigC(c,c,product(c,a))),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8916,refute_0_8927]) ).

cnf(refute_0_8929,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(difference(bigC(c,b,c),product(b,c)),product(b,c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(difference(bigC(c,b,c),product(b,c)),product(b,c))) ),[0],$fot(product(product(b,c),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_8930,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)) != product(difference(bigC(c,b,c),product(b,c)),product(b,c))
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8928,refute_0_8929]) ).

cnf(refute_0_8931,plain,
    product(product(b,c),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(b,c)),product(difference(bigC(c,b,c),product(b,c)),product(b,c))) )],[refute_0_8882,refute_0_8930]) ).

cnf(refute_0_8932,plain,
    ( product(product(b,c),difference(bigC(c,a,c),c)) != product(difference(bigC(c,b,c),product(b,c)),product(b,c))
    | product(difference(bigC(c,b,c),product(b,c)),product(b,c)) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,c),difference(bigC(c,a,c),c)))),bind(Y,$fot(product(difference(bigC(c,b,c),product(b,c)),product(b,c))))]]) ).

cnf(refute_0_8933,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(b,c)) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,a,c),c)),product(difference(bigC(c,b,c),product(b,c)),product(b,c))) )],[refute_0_8931,refute_0_8932]) ).

cnf(refute_0_8934,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)))]]) ).

cnf(refute_0_8935,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c))
    | product(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c))) ),[1,0],$fot(product(product(b,c),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_8936,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c))) )],[refute_0_8934,refute_0_8935]) ).

cnf(refute_0_8937,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) = difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8933,refute_0_8936]) ).

cnf(refute_0_8938,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),difference(c,product(b,c))))
    | difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(product(b,c),product(product(b,c),difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),difference(c,product(b,c))))) ),[0],$fot(difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)))]]) ).

cnf(refute_0_8939,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),difference(c,product(b,c))))
    | difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(product(b,c),product(product(b,c),difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) )],[refute_0_8937,refute_0_8938]) ).

cnf(refute_0_8940,plain,
    product(product(b,product(b,c)),product(b,c)) = product(b,product(product(b,c),c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(product(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_8941,plain,
    product(product(b,c),product(product(b,c),difference(c,product(b,c)))) = product(product(b,product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_5983:[bind(B,$fot(product(b,c))),bind(X_23,$fot(b)),bind(X_24,$fot(product(b,c))),bind(X_25,$fot(c))]]) ).

cnf(refute_0_8942,plain,
    ( product(product(b,c),product(product(b,c),difference(c,product(b,c)))) != product(product(b,product(b,c)),product(b,c))
    | product(product(b,product(b,c)),product(b,c)) != product(b,product(product(b,c),c))
    | product(product(b,c),product(product(b,c),difference(c,product(b,c)))) = product(b,product(product(b,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),product(product(b,c),difference(c,product(b,c)))))),bind(Y,$fot(product(product(b,product(b,c)),product(b,c)))),bind(Z,$fot(product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_8943,plain,
    ( product(product(b,product(b,c)),product(b,c)) != product(b,product(product(b,c),c))
    | product(product(b,c),product(product(b,c),difference(c,product(b,c)))) = product(b,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),difference(c,product(b,c)))),product(product(b,product(b,c)),product(b,c))) )],[refute_0_8941,refute_0_8942]) ).

cnf(refute_0_8944,plain,
    product(product(b,c),product(product(b,c),difference(c,product(b,c)))) = product(b,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(b,c)),product(b,product(product(b,c),c))) )],[refute_0_8940,refute_0_8943]) ).

cnf(refute_0_8945,plain,
    ( difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) != product(product(b,c),product(product(b,c),difference(c,product(b,c))))
    | product(product(b,c),product(product(b,c),difference(c,product(b,c)))) != product(b,product(product(b,c),c))
    | difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(b,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)),product(b,product(product(b,c),c))) ),[0],$fot(product(product(b,c),product(product(b,c),difference(c,product(b,c)))))]]) ).

cnf(refute_0_8946,plain,
    ( difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) != product(product(b,c),product(product(b,c),difference(c,product(b,c))))
    | difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(b,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),difference(c,product(b,c)))),product(b,product(product(b,c),c))) )],[refute_0_8944,refute_0_8945]) ).

cnf(refute_0_8947,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),difference(c,product(b,c))))
    | difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(b,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)),product(product(b,c),product(product(b,c),difference(c,product(b,c))))) )],[refute_0_8939,refute_0_8946]) ).

cnf(refute_0_8948,plain,
    difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) = product(b,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),difference(c,product(b,c))))) )],[refute_0_8878,refute_0_8947]) ).

cnf(refute_0_8949,plain,
    ( difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) != product(b,product(product(b,c),c))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) != product(b,c)
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))),product(b,c)) ),[0,1],$fot(product(b,product(product(b,c),c)))]]) ).

cnf(refute_0_8950,plain,
    ( product(product(product(b,c),difference(bigC(c,a,c),c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) != product(b,c)
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)),product(b,product(product(b,c),c))) )],[refute_0_8948,refute_0_8949]) ).

cnf(refute_0_8951,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))),product(b,c)) )],[refute_0_8847,refute_0_8950]) ).

cnf(refute_0_8952,plain,
    bigC(c,product(b,c),b) = bigC(c,b,product(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_8953,plain,
    product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)))]]) ).

cnf(refute_0_8954,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) ),[1,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_8955,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) )],[refute_0_8953,refute_0_8954]) ).

cnf(refute_0_8956,plain,
    product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),b),bigC(c,b,product(b,c))) )],[refute_0_8952,refute_0_8955]) ).

cnf(refute_0_8957,plain,
    bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(difference(bigC(c,a,c),c))),bind(X_65,$fot(b)),bind(X_66,$fot(c)),bind(X_67,$fot(product(b,c)))]]) ).

cnf(refute_0_8958,plain,
    bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) = bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(b,c))),bind(B,$fot(product(b,product(b,c)))),bind(C,$fot(difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_8959,plain,
    ( bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) != bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c))
    | bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))))),bind(Y,$fot(bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)))),bind(Z,$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_8960,plain,
    ( bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))),bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c))) )],[refute_0_8958,refute_0_8959]) ).

cnf(refute_0_8961,plain,
    bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,product(b,c)),difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) )],[refute_0_8957,refute_0_8960]) ).

cnf(refute_0_8962,plain,
    product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) = bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(difference(bigC(c,a,c),c))),bind(X_23,$fot(b)),bind(X_24,$fot(product(b,c))),bind(X_25,$fot(b)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_8963,plain,
    ( bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) != bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c)))
    | product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))))),bind(Y,$fot(bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))))),bind(Z,$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_8964,plain,
    ( bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))),bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c)))) )],[refute_0_8962,refute_0_8963]) ).

cnf(refute_0_8965,plain,
    product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),difference(bigC(c,a,c),c),product(b,product(b,c))),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) )],[refute_0_8961,refute_0_8964]) ).

cnf(refute_0_8966,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(difference(bigC(c,a,c),c))),bind(X_26,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_8967,plain,
    ( product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) != product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c)))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))))),bind(Y,$fot(product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))))),bind(Z,$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_8968,plain,
    ( product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))),product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c)))) )],[refute_0_8966,refute_0_8967]) ).

cnf(refute_0_8969,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(difference(bigC(c,a,c),c),product(product(b,c),c))),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) )],[refute_0_8965,refute_0_8968]) ).

cnf(refute_0_8970,plain,
    ( product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))))),bind(Y,$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)))),bind(Z,$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_8971,plain,
    ( product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))),product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b))) )],[refute_0_8969,refute_0_8970]) ).

cnf(refute_0_8972,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) = product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,difference(bigC(c,a,c),c)),bigC(c,product(b,c),b)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))) )],[refute_0_8956,refute_0_8971]) ).

cnf(refute_0_8973,plain,
    ( product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) != product(b,c)
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) != product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))),product(b,c)) ),[0],$fot(product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_8974,plain,
    ( product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) != product(b,c)
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))) )],[refute_0_8972,refute_0_8973]) ).

cnf(refute_0_8975,plain,
    product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))),product(b,c)) )],[refute_0_8951,refute_0_8974]) ).

cnf(refute_0_8976,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))) != bigC(c,b,product(b,c))
    | product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))) != product(b,c)
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(c,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))),bigC(c,b,product(b,c))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_8977,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))) != bigC(c,b,product(b,c))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c))),product(b,c)) )],[refute_0_8975,refute_0_8976]) ).

cnf(refute_0_8978,plain,
    difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(product(b,difference(bigC(c,a,c),c)),bigC(c,b,product(b,c)))),bigC(c,b,product(b,c))) )],[refute_0_8846,refute_0_8977]) ).

cnf(refute_0_8979,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(b,product(c,product(c,b))) != bigC(b,c,product(b,c))
    | product(b,product(c,product(c,b))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(b,product(c,product(c,b))))),bind(Y,$fot(bigC(b,c,product(b,c)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_8980,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(b,product(c,product(c,b))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,product(c,b))),bigC(b,c,product(b,c))) )],[refute_0_7827,refute_0_8979]) ).

cnf(refute_0_8981,plain,
    product(b,product(c,product(c,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_7832,refute_0_8980]) ).

cnf(refute_0_8982,plain,
    difference(product(b,product(product(b,c),c)),product(b,c)) = product(b,product(c,product(c,b))),
    inference(subst,[],[refute_0_2113:[bind(X_65,$fot(b)),bind(X_66,$fot(b)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_8983,plain,
    ( difference(product(b,product(product(b,c),c)),product(b,c)) != product(b,product(c,product(c,b)))
    | product(b,product(c,product(c,b))) != bigC(b,b,product(c,a))
    | difference(product(b,product(product(b,c),c)),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(b,product(product(b,c),c)),product(b,c)))),bind(Y,$fot(product(b,product(c,product(c,b))))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_8984,plain,
    ( product(b,product(c,product(c,b))) != bigC(b,b,product(c,a))
    | difference(product(b,product(product(b,c),c)),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(product(b,c),c)),product(b,c)),product(b,product(c,product(c,b)))) )],[refute_0_8982,refute_0_8983]) ).

cnf(refute_0_8985,plain,
    difference(product(b,product(product(b,c),c)),product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,product(c,product(c,b))),bigC(b,b,product(c,a))) )],[refute_0_8981,refute_0_8984]) ).

cnf(refute_0_8986,plain,
    product(b,difference(bigC(c,a,c),c)) = product(b,difference(bigC(c,a,c),c)),
    introduced(tautology,[refl,[$fot(product(b,difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_8987,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(b,difference(bigC(c,a,c),c)) != product(b,difference(bigC(c,a,c),c))
    | product(b,difference(bigC(c,a,c),c)) = product(b,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(bigC(c,a,c),c)),product(b,difference(bigC(c,a,c),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_8988,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(b,difference(bigC(c,a,c),c)) = product(b,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(bigC(c,a,c),c)),product(b,difference(bigC(c,a,c),c))) )],[refute_0_8986,refute_0_8987]) ).

cnf(refute_0_8989,plain,
    product(b,difference(bigC(c,a,c),c)) = product(b,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_8988]) ).

cnf(refute_0_8990,plain,
    difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)))]]) ).

cnf(refute_0_8991,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) != difference(product(b,difference(bigC(c,a,c),c)),product(b,c))
    | product(b,difference(bigC(c,a,c),c)) != product(b,product(product(b,c),c))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = difference(product(b,product(product(b,c),c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),difference(product(b,difference(bigC(c,a,c),c)),product(b,c))) ),[1,0],$fot(product(b,product(product(b,c),c)))]]) ).

cnf(refute_0_8992,plain,
    ( product(b,difference(bigC(c,a,c),c)) != product(b,product(product(b,c),c))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = difference(product(b,product(product(b,c),c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),difference(product(b,difference(bigC(c,a,c),c)),product(b,c))) )],[refute_0_8990,refute_0_8991]) ).

cnf(refute_0_8993,plain,
    difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = difference(product(b,product(product(b,c),c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,difference(bigC(c,a,c),c)),product(b,product(product(b,c),c))) )],[refute_0_8989,refute_0_8992]) ).

cnf(refute_0_8994,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) != difference(product(b,product(product(b,c),c)),product(b,c))
    | difference(product(b,product(product(b,c),c)),product(b,c)) != bigC(b,b,product(c,a))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)))),bind(Y,$fot(difference(product(b,product(product(b,c),c)),product(b,c)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_8995,plain,
    ( difference(product(b,product(product(b,c),c)),product(b,c)) != bigC(b,b,product(c,a))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),difference(product(b,product(product(b,c),c)),product(b,c))) )],[refute_0_8993,refute_0_8994]) ).

cnf(refute_0_8996,plain,
    difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(product(b,c),c)),product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_8985,refute_0_8995]) ).

cnf(refute_0_8997,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) != bigC(b,b,product(c,a))
    | difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) != bigC(c,b,product(b,c))
    | bigC(b,b,product(c,a)) = bigC(c,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),bigC(c,b,product(b,c))) ),[0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_8998,plain,
    ( difference(product(b,difference(bigC(c,a,c),c)),product(b,c)) != bigC(c,b,product(b,c))
    | bigC(b,b,product(c,a)) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_8996,refute_0_8997]) ).

cnf(refute_0_8999,plain,
    bigC(b,b,product(c,a)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,difference(bigC(c,a,c),c)),product(b,c)),bigC(c,b,product(b,c))) )],[refute_0_8978,refute_0_8998]) ).

cnf(refute_0_9000,plain,
    ( bigC(b,b,product(c,a)) != bigC(c,b,product(b,c))
    | bigC(c,b,product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,b,product(c,a)))),bind(Y,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_9001,plain,
    bigC(c,b,product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),bigC(c,b,product(b,c))) )],[refute_0_8999,refute_0_9000]) ).

cnf(refute_0_9002,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,b,product(c,a))
    | bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(c,b,product(b,c)),product(a,b))
    | bigC(product(c,b),a,product(product(b,c),b)) = product(bigC(b,b,product(c,a)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),product(bigC(c,b,product(b,c)),product(a,b))) ),[1,0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_9003,plain,
    ( bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(c,b,product(b,c)),product(a,b))
    | bigC(product(c,b),a,product(product(b,c),b)) = product(bigC(b,b,product(c,a)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_9001,refute_0_9002]) ).

cnf(refute_0_9004,plain,
    bigC(product(c,b),a,product(product(b,c),b)) = product(bigC(b,b,product(c,a)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),product(bigC(c,b,product(b,c)),product(a,b))) )],[refute_0_8845,refute_0_9003]) ).

cnf(refute_0_9005,plain,
    bigC(product(c,b),a,product(quotient(A,b),b)) = product(bigC(c,b,quotient(A,b)),product(a,b)),
    inference(subst,[],[refute_0_1116:[bind(C,$fot(quotient(A,b)))]]) ).

cnf(refute_0_9006,plain,
    product(quotient(A,b),b) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(b))]]) ).

cnf(refute_0_9007,plain,
    ( bigC(product(c,b),a,product(quotient(A,b),b)) != product(bigC(c,b,quotient(A,b)),product(a,b))
    | product(quotient(A,b),b) != A
    | bigC(product(c,b),a,A) = product(bigC(c,b,quotient(A,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,product(quotient(A,b),b)),product(bigC(c,b,quotient(A,b)),product(a,b))) ),[0,2],$fot(A)]]) ).

cnf(refute_0_9008,plain,
    ( bigC(product(c,b),a,product(quotient(A,b),b)) != product(bigC(c,b,quotient(A,b)),product(a,b))
    | bigC(product(c,b),a,A) = product(bigC(c,b,quotient(A,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,b),b),A) )],[refute_0_9006,refute_0_9007]) ).

cnf(refute_0_9009,plain,
    bigC(product(c,b),a,A) = product(bigC(c,b,quotient(A,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(quotient(A,b),b)),product(bigC(c,b,quotient(A,b)),product(a,b))) )],[refute_0_9005,refute_0_9008]) ).

cnf(refute_0_9010,plain,
    bigC(product(c,b),a,bigC(b,b,X_22)) = product(bigC(c,b,quotient(bigC(b,b,X_22),b)),product(a,b)),
    inference(subst,[],[refute_0_9009:[bind(A,$fot(bigC(b,b,X_22)))]]) ).

cnf(refute_0_9011,plain,
    quotient(bigC(b,b,X_22),b) = product(b,X_22),
    inference(subst,[],[refute_0_250:[bind(B,$fot(b))]]) ).

cnf(refute_0_9012,plain,
    ( bigC(product(c,b),a,bigC(b,b,X_22)) != product(bigC(c,b,quotient(bigC(b,b,X_22),b)),product(a,b))
    | quotient(bigC(b,b,X_22),b) != product(b,X_22)
    | bigC(product(c,b),a,bigC(b,b,X_22)) = product(bigC(c,b,product(b,X_22)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,X_22)),product(bigC(c,b,quotient(bigC(b,b,X_22),b)),product(a,b))) ),[1,0,2],$fot(product(b,X_22))]]) ).

cnf(refute_0_9013,plain,
    ( bigC(product(c,b),a,bigC(b,b,X_22)) != product(bigC(c,b,quotient(bigC(b,b,X_22),b)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,X_22)) = product(bigC(c,b,product(b,X_22)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,X_22),b),product(b,X_22)) )],[refute_0_9011,refute_0_9012]) ).

cnf(refute_0_9014,plain,
    bigC(product(c,b),a,bigC(b,b,X_22)) = product(bigC(c,b,product(b,X_22)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,X_22)),product(bigC(c,b,quotient(bigC(b,b,X_22),b)),product(a,b))) )],[refute_0_9010,refute_0_9013]) ).

cnf(refute_0_9015,plain,
    bigC(product(c,b),a,product(product(b,X_18),b)) = product(bigC(c,b,product(b,X_18)),product(a,b)),
    inference(subst,[],[refute_0_1116:[bind(C,$fot(product(b,X_18)))]]) ).

cnf(refute_0_9016,plain,
    bigC(b,X_18,b) = product(product(b,X_18),b),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(b))]]) ).

cnf(refute_0_9017,plain,
    ( bigC(b,X_18,b) != product(product(b,X_18),b)
    | product(product(b,X_18),b) = bigC(b,X_18,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,X_18,b))),bind(Y,$fot(product(product(b,X_18),b)))]]) ).

cnf(refute_0_9018,plain,
    product(product(b,X_18),b) = bigC(b,X_18,b),
    inference(resolve,[$cnf( $equal(bigC(b,X_18,b),product(product(b,X_18),b)) )],[refute_0_9016,refute_0_9017]) ).

cnf(refute_0_9019,plain,
    ( bigC(product(c,b),a,product(product(b,X_18),b)) != product(bigC(c,b,product(b,X_18)),product(a,b))
    | product(product(b,X_18),b) != bigC(b,X_18,b)
    | bigC(product(c,b),a,bigC(b,X_18,b)) = product(bigC(c,b,product(b,X_18)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,product(product(b,X_18),b)),product(bigC(c,b,product(b,X_18)),product(a,b))) ),[0,2],$fot(bigC(b,X_18,b))]]) ).

cnf(refute_0_9020,plain,
    ( bigC(product(c,b),a,product(product(b,X_18),b)) != product(bigC(c,b,product(b,X_18)),product(a,b))
    | bigC(product(c,b),a,bigC(b,X_18,b)) = product(bigC(c,b,product(b,X_18)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),b),bigC(b,X_18,b)) )],[refute_0_9018,refute_0_9019]) ).

cnf(refute_0_9021,plain,
    bigC(product(c,b),a,bigC(b,X_18,b)) = product(bigC(c,b,product(b,X_18)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(product(b,X_18),b)),product(bigC(c,b,product(b,X_18)),product(a,b))) )],[refute_0_9015,refute_0_9020]) ).

cnf(refute_0_9022,plain,
    ( bigC(product(c,b),a,bigC(b,X_18,b)) != product(bigC(c,b,product(b,X_18)),product(a,b))
    | product(bigC(c,b,product(b,X_18)),product(a,b)) = bigC(product(c,b),a,bigC(b,X_18,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),a,bigC(b,X_18,b)))),bind(Y,$fot(product(bigC(c,b,product(b,X_18)),product(a,b))))]]) ).

cnf(refute_0_9023,plain,
    product(bigC(c,b,product(b,X_18)),product(a,b)) = bigC(product(c,b),a,bigC(b,X_18,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,X_18,b)),product(bigC(c,b,product(b,X_18)),product(a,b))) )],[refute_0_9021,refute_0_9022]) ).

cnf(refute_0_9024,plain,
    product(bigC(c,b,product(b,X_22)),product(a,b)) = bigC(product(c,b),a,bigC(b,X_22,b)),
    inference(subst,[],[refute_0_9023:[bind(X_18,$fot(X_22))]]) ).

cnf(refute_0_9025,plain,
    ( bigC(product(c,b),a,bigC(b,b,X_22)) != product(bigC(c,b,product(b,X_22)),product(a,b))
    | product(bigC(c,b,product(b,X_22)),product(a,b)) != bigC(product(c,b),a,bigC(b,X_22,b))
    | bigC(product(c,b),a,bigC(b,b,X_22)) = bigC(product(c,b),a,bigC(b,X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),a,bigC(b,b,X_22)),bigC(product(c,b),a,bigC(b,X_22,b))) ),[0],$fot(product(bigC(c,b,product(b,X_22)),product(a,b)))]]) ).

cnf(refute_0_9026,plain,
    ( bigC(product(c,b),a,bigC(b,b,X_22)) != product(bigC(c,b,product(b,X_22)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,X_22)) = bigC(product(c,b),a,bigC(b,X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(b,X_22)),product(a,b)),bigC(product(c,b),a,bigC(b,X_22,b))) )],[refute_0_9024,refute_0_9025]) ).

cnf(refute_0_9027,plain,
    bigC(product(c,b),a,bigC(b,b,X_22)) = bigC(product(c,b),a,bigC(b,X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,X_22)),product(bigC(c,b,product(b,X_22)),product(a,b))) )],[refute_0_9014,refute_0_9026]) ).

cnf(refute_0_9028,plain,
    ( bigC(product(c,b),a,bigC(b,b,X_22)) != bigC(product(c,b),a,bigC(b,X_22,b))
    | bigC(product(c,b),a,bigC(b,X_22,b)) = bigC(product(c,b),a,bigC(b,b,X_22)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),a,bigC(b,b,X_22)))),bind(Y,$fot(bigC(product(c,b),a,bigC(b,X_22,b))))]]) ).

cnf(refute_0_9029,plain,
    bigC(product(c,b),a,bigC(b,X_22,b)) = bigC(product(c,b),a,bigC(b,b,X_22)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,X_22)),bigC(product(c,b),a,bigC(b,X_22,b))) )],[refute_0_9027,refute_0_9028]) ).

cnf(refute_0_9030,plain,
    bigC(product(c,b),a,bigC(b,c,b)) = bigC(product(c,b),a,bigC(b,b,c)),
    inference(subst,[],[refute_0_9029:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_9031,plain,
    product(bigC(c,b,product(b,c)),product(a,b)) = bigC(product(c,b),a,bigC(b,c,b)),
    inference(subst,[],[refute_0_9023:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_9032,plain,
    ( bigC(product(c,b),a,bigC(b,c,b)) != bigC(product(c,b),a,bigC(b,b,c))
    | product(bigC(c,b,product(b,c)),product(a,b)) != bigC(product(c,b),a,bigC(b,c,b))
    | product(bigC(c,b,product(b,c)),product(a,b)) = bigC(product(c,b),a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,b,product(b,c)),product(a,b)))),bind(Y,$fot(bigC(product(c,b),a,bigC(b,c,b)))),bind(Z,$fot(bigC(product(c,b),a,bigC(b,b,c))))]]) ).

cnf(refute_0_9033,plain,
    ( bigC(product(c,b),a,bigC(b,c,b)) != bigC(product(c,b),a,bigC(b,b,c))
    | product(bigC(c,b,product(b,c)),product(a,b)) = bigC(product(c,b),a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(b,c)),product(a,b)),bigC(product(c,b),a,bigC(b,c,b))) )],[refute_0_9031,refute_0_9032]) ).

cnf(refute_0_9034,plain,
    product(bigC(c,b,product(b,c)),product(a,b)) = bigC(product(c,b),a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,c,b)),bigC(product(c,b),a,bigC(b,b,c))) )],[refute_0_9030,refute_0_9033]) ).

cnf(refute_0_9035,plain,
    ( bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(c,b,product(b,c)),product(a,b))
    | product(bigC(c,b,product(b,c)),product(a,b)) != bigC(product(c,b),a,bigC(b,b,c))
    | bigC(product(c,b),a,product(product(b,c),b)) = bigC(product(c,b),a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),a,product(product(b,c),b)))),bind(Y,$fot(product(bigC(c,b,product(b,c)),product(a,b)))),bind(Z,$fot(bigC(product(c,b),a,bigC(b,b,c))))]]) ).

cnf(refute_0_9036,plain,
    ( product(bigC(c,b,product(b,c)),product(a,b)) != bigC(product(c,b),a,bigC(b,b,c))
    | bigC(product(c,b),a,product(product(b,c),b)) = bigC(product(c,b),a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),product(bigC(c,b,product(b,c)),product(a,b))) )],[refute_0_8845,refute_0_9035]) ).

cnf(refute_0_9037,plain,
    bigC(product(c,b),a,product(product(b,c),b)) = bigC(product(c,b),a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(b,c)),product(a,b)),bigC(product(c,b),a,bigC(b,b,c))) )],[refute_0_9034,refute_0_9036]) ).

cnf(refute_0_9038,plain,
    ( bigC(product(c,b),a,product(product(b,c),b)) != bigC(product(c,b),a,bigC(b,b,c))
    | bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(b,b,product(c,a)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,c)) = product(bigC(b,b,product(c,a)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),product(bigC(b,b,product(c,a)),product(a,b))) ),[0],$fot(bigC(product(c,b),a,bigC(b,b,c)))]]) ).

cnf(refute_0_9039,plain,
    ( bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(b,b,product(c,a)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,c)) = product(bigC(b,b,product(c,a)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),bigC(product(c,b),a,bigC(b,b,c))) )],[refute_0_9037,refute_0_9038]) ).

cnf(refute_0_9040,plain,
    bigC(b,a,product(product(c,a),b)) = bigC(b,a,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(bigC(b,a,product(product(c,a),b)))]]) ).

cnf(refute_0_9041,plain,
    ( bigC(b,a,product(product(c,a),b)) != bigC(b,a,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(b,a,product(product(c,a),b)) = bigC(b,a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,product(product(c,a),b)),bigC(b,a,product(product(c,a),b))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9042,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | bigC(b,a,product(product(c,a),b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(product(c,a),b)),bigC(b,a,product(product(c,a),b))) )],[refute_0_9040,refute_0_9041]) ).

cnf(refute_0_9043,plain,
    bigC(b,a,product(product(c,a),b)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_9042]) ).

cnf(refute_0_9044,plain,
    bigC(b,product(product(c,a),b),a) = bigC(b,a,product(product(c,a),b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_9045,plain,
    product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,product(product(c,a),b),a),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(b)),bind(C,$fot(a)),bind(X_36,$fot(product(c,a)))]]) ).

cnf(refute_0_9046,plain,
    ( bigC(b,product(product(c,a),b),a) != bigC(b,a,product(product(c,a),b))
    | product(bigC(b,b,product(c,a)),product(a,b)) != bigC(b,product(product(c,a),b),a)
    | product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,product(c,a)),product(a,b)))),bind(Y,$fot(bigC(b,product(product(c,a),b),a))),bind(Z,$fot(bigC(b,a,product(product(c,a),b))))]]) ).

cnf(refute_0_9047,plain,
    ( bigC(b,product(product(c,a),b),a) != bigC(b,a,product(product(c,a),b))
    | product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(c,a)),product(a,b)),bigC(b,product(product(c,a),b),a)) )],[refute_0_9045,refute_0_9046]) ).

cnf(refute_0_9048,plain,
    product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(product(c,a),b),a),bigC(b,a,product(product(c,a),b))) )],[refute_0_9044,refute_0_9047]) ).

cnf(refute_0_9049,plain,
    ( bigC(b,a,product(product(c,a),b)) != bigC(b,a,product(c,product(c,b)))
    | product(bigC(b,b,product(c,a)),product(a,b)) != bigC(b,a,product(product(c,a),b))
    | product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,product(c,a)),product(a,b)))),bind(Y,$fot(bigC(b,a,product(product(c,a),b)))),bind(Z,$fot(bigC(b,a,product(c,product(c,b)))))]]) ).

cnf(refute_0_9050,plain,
    ( bigC(b,a,product(product(c,a),b)) != bigC(b,a,product(c,product(c,b)))
    | product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(c,a)),product(a,b)),bigC(b,a,product(product(c,a),b))) )],[refute_0_9048,refute_0_9049]) ).

cnf(refute_0_9051,plain,
    product(bigC(b,b,product(c,a)),product(a,b)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(product(c,a),b)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9043,refute_0_9050]) ).

cnf(refute_0_9052,plain,
    ( bigC(product(c,b),a,bigC(b,b,c)) != product(bigC(b,b,product(c,a)),product(a,b))
    | product(bigC(b,b,product(c,a)),product(a,b)) != bigC(b,a,product(c,product(c,b)))
    | bigC(product(c,b),a,bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),a,bigC(b,b,c)),bigC(b,a,product(c,product(c,b)))) ),[0],$fot(product(bigC(b,b,product(c,a)),product(a,b)))]]) ).

cnf(refute_0_9053,plain,
    ( bigC(product(c,b),a,bigC(b,b,c)) != product(bigC(b,b,product(c,a)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(c,a)),product(a,b)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9051,refute_0_9052]) ).

cnf(refute_0_9054,plain,
    ( bigC(product(c,b),a,product(product(b,c),b)) != product(bigC(b,b,product(c,a)),product(a,b))
    | bigC(product(c,b),a,bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,c)),product(bigC(b,b,product(c,a)),product(a,b))) )],[refute_0_9039,refute_0_9053]) ).

cnf(refute_0_9055,plain,
    bigC(product(c,b),a,bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,product(product(b,c),b)),product(bigC(b,b,product(c,a)),product(a,b))) )],[refute_0_9004,refute_0_9054]) ).

cnf(refute_0_9056,plain,
    bigC(c,bigC(b,b,c),product(a,c)) = bigC(c,product(a,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9057,plain,
    bigC(product(c,b),a,C) = product(product(product(c,b),a),product(C,product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(B,$fot(a))]]) ).

cnf(refute_0_9058,plain,
    ( bigC(product(c,b),a,C) != product(product(product(c,b),a),product(C,product(c,b)))
    | product(product(c,b),a) != product(c,product(c,a))
    | bigC(product(c,b),a,C) = product(product(c,product(c,a)),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,C),product(product(product(c,b),a),product(C,product(c,b)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9059,plain,
    ( bigC(product(c,b),a,C) != product(product(product(c,b),a),product(C,product(c,b)))
    | bigC(product(c,b),a,C) = product(product(c,product(c,a)),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_9058]) ).

cnf(refute_0_9060,plain,
    bigC(product(c,b),a,C) = product(product(c,product(c,a)),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,C),product(product(product(c,b),a),product(C,product(c,b)))) )],[refute_0_9057,refute_0_9059]) ).

cnf(refute_0_9061,plain,
    product(c,product(X_25,product(a,b))) = product(product(c,X_25),product(c,product(a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(product(a,b)))]]) ).

cnf(refute_0_9062,plain,
    ( product(c,product(X_25,product(a,b))) != product(product(c,X_25),product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | product(c,product(X_25,product(a,b))) = product(product(c,X_25),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(a,b))),product(product(c,X_25),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9063,plain,
    ( product(c,product(X_25,product(a,b))) != product(product(c,X_25),product(c,product(a,b)))
    | product(c,product(X_25,product(a,b))) = product(product(c,X_25),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_9062]) ).

cnf(refute_0_9064,plain,
    product(c,product(X_25,product(a,b))) = product(product(c,X_25),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(a,b))),product(product(c,X_25),product(c,product(a,b)))) )],[refute_0_9061,refute_0_9063]) ).

cnf(refute_0_9065,plain,
    bigC(bigC(c,a,b),B,product(a,c)) = product(product(bigC(c,a,b),B),product(product(a,c),bigC(c,a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(c,a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_9066,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != product(product(bigC(c,a,b),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),B,product(a,c)) = product(product(bigC(c,a,b),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),product(product(bigC(c,a,b),B),product(product(a,c),bigC(c,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9067,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != product(product(bigC(c,a,b),B),product(product(a,c),bigC(c,a,b)))
    | bigC(bigC(c,a,b),B,product(a,c)) = product(product(bigC(c,a,b),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_597,refute_0_9066]) ).

cnf(refute_0_9068,plain,
    bigC(bigC(c,a,b),B,product(a,c)) = product(product(bigC(c,a,b),B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),product(product(bigC(c,a,b),B),product(product(a,c),bigC(c,a,b)))) )],[refute_0_9065,refute_0_9067]) ).

cnf(refute_0_9069,plain,
    bigC(bigC(c,a,b),B,product(a,c)) = bigC(bigC(c,a,b),B,product(a,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),B,product(a,c)))]]) ).

cnf(refute_0_9070,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != bigC(bigC(c,a,b),B,product(a,c))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),B,product(a,c)) = bigC(c,B,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),bigC(bigC(c,a,b),B,product(a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_9071,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),B,product(a,c)) = bigC(c,B,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),bigC(bigC(c,a,b),B,product(a,c))) )],[refute_0_9069,refute_0_9070]) ).

cnf(refute_0_9072,plain,
    bigC(bigC(c,a,b),B,product(a,c)) = bigC(c,B,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_9071]) ).

cnf(refute_0_9073,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != bigC(c,B,product(a,c))
    | bigC(bigC(c,a,b),B,product(a,c)) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | bigC(c,B,product(a,c)) = product(product(bigC(c,a,b),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),product(product(bigC(c,a,b),B),product(a,product(b,c)))) ),[0],$fot(bigC(c,B,product(a,c)))]]) ).

cnf(refute_0_9074,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | bigC(c,B,product(a,c)) = product(product(bigC(c,a,b),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),bigC(c,B,product(a,c))) )],[refute_0_9072,refute_0_9073]) ).

cnf(refute_0_9075,plain,
    product(product(bigC(c,a,b),B),product(a,product(b,c))) = product(product(bigC(c,a,b),B),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),B),product(a,product(b,c))))]]) ).

cnf(refute_0_9076,plain,
    ( product(bigC(c,a,b),B) != product(c,B)
    | product(product(bigC(c,a,b),B),product(a,product(b,c))) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | product(product(bigC(c,a,b),B),product(a,product(b,c))) = product(product(c,B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),B),product(a,product(b,c))),product(product(bigC(c,a,b),B),product(a,product(b,c)))) ),[1,0],$fot(product(c,B))]]) ).

cnf(refute_0_9077,plain,
    ( product(bigC(c,a,b),B) != product(c,B)
    | product(product(bigC(c,a,b),B),product(a,product(b,c))) = product(product(c,B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(a,product(b,c))),product(product(bigC(c,a,b),B),product(a,product(b,c)))) )],[refute_0_9075,refute_0_9076]) ).

cnf(refute_0_9078,plain,
    product(product(bigC(c,a,b),B),product(a,product(b,c))) = product(product(c,B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),B),product(c,B)) )],[refute_0_3591,refute_0_9077]) ).

cnf(refute_0_9079,plain,
    ( bigC(c,B,product(a,c)) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | product(product(bigC(c,a,b),B),product(a,product(b,c))) != product(product(c,B),product(a,product(b,c)))
    | bigC(c,B,product(a,c)) = product(product(c,B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(a,c)),product(product(c,B),product(a,product(b,c)))) ),[0],$fot(product(product(bigC(c,a,b),B),product(a,product(b,c))))]]) ).

cnf(refute_0_9080,plain,
    ( bigC(c,B,product(a,c)) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | bigC(c,B,product(a,c)) = product(product(c,B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(a,product(b,c))),product(product(c,B),product(a,product(b,c)))) )],[refute_0_9078,refute_0_9079]) ).

cnf(refute_0_9081,plain,
    ( bigC(bigC(c,a,b),B,product(a,c)) != product(product(bigC(c,a,b),B),product(a,product(b,c)))
    | bigC(c,B,product(a,c)) = product(product(c,B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,c)),product(product(bigC(c,a,b),B),product(a,product(b,c)))) )],[refute_0_9074,refute_0_9080]) ).

cnf(refute_0_9082,plain,
    bigC(c,B,product(a,c)) = product(product(c,B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),B,product(a,c)),product(product(bigC(c,a,b),B),product(a,product(b,c)))) )],[refute_0_9068,refute_0_9081]) ).

cnf(refute_0_9083,plain,
    ( bigC(c,B,product(a,c)) != product(product(c,B),product(a,product(b,c)))
    | product(product(c,B),product(a,product(b,c))) = bigC(c,B,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,B,product(a,c)))),bind(Y,$fot(product(product(c,B),product(a,product(b,c)))))]]) ).

cnf(refute_0_9084,plain,
    product(product(c,B),product(a,product(b,c))) = bigC(c,B,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,c)),product(product(c,B),product(a,product(b,c)))) )],[refute_0_9082,refute_0_9083]) ).

cnf(refute_0_9085,plain,
    product(product(c,X_25),product(a,product(b,c))) = bigC(c,X_25,product(a,c)),
    inference(subst,[],[refute_0_9084:[bind(B,$fot(X_25))]]) ).

cnf(refute_0_9086,plain,
    ( product(c,product(X_25,product(a,b))) != product(product(c,X_25),product(a,product(b,c)))
    | product(product(c,X_25),product(a,product(b,c))) != bigC(c,X_25,product(a,c))
    | product(c,product(X_25,product(a,b))) = bigC(c,X_25,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,product(a,b))),bigC(c,X_25,product(a,c))) ),[0],$fot(product(product(c,X_25),product(a,product(b,c))))]]) ).

cnf(refute_0_9087,plain,
    ( product(c,product(X_25,product(a,b))) != product(product(c,X_25),product(a,product(b,c)))
    | product(c,product(X_25,product(a,b))) = bigC(c,X_25,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(a,product(b,c))),bigC(c,X_25,product(a,c))) )],[refute_0_9085,refute_0_9086]) ).

cnf(refute_0_9088,plain,
    product(c,product(X_25,product(a,b))) = bigC(c,X_25,product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(a,b))),product(product(c,X_25),product(a,product(b,c)))) )],[refute_0_9064,refute_0_9087]) ).

cnf(refute_0_9089,plain,
    product(c,product(C,product(a,b))) = bigC(c,C,product(a,c)),
    inference(subst,[],[refute_0_9088:[bind(X_25,$fot(C))]]) ).

cnf(refute_0_9090,plain,
    product(product(c,C),product(c,product(a,b))) = product(c,product(C,product(a,b))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(C)),bind(X_26,$fot(product(a,b)))]]) ).

cnf(refute_0_9091,plain,
    ( product(c,product(C,product(a,b))) != bigC(c,C,product(a,c))
    | product(product(c,C),product(c,product(a,b))) != product(c,product(C,product(a,b)))
    | product(product(c,C),product(c,product(a,b))) = bigC(c,C,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,C),product(c,product(a,b))))),bind(Y,$fot(product(c,product(C,product(a,b))))),bind(Z,$fot(bigC(c,C,product(a,c))))]]) ).

cnf(refute_0_9092,plain,
    ( product(c,product(C,product(a,b))) != bigC(c,C,product(a,c))
    | product(product(c,C),product(c,product(a,b))) = bigC(c,C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,C),product(c,product(a,b))),product(c,product(C,product(a,b)))) )],[refute_0_9090,refute_0_9091]) ).

cnf(refute_0_9093,plain,
    product(product(c,C),product(c,product(a,b))) = bigC(c,C,product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(C,product(a,b))),bigC(c,C,product(a,c))) )],[refute_0_9089,refute_0_9092]) ).

cnf(refute_0_9094,plain,
    product(product(c,product(c,a)),product(C,product(c,b))) = product(product(c,C),product(c,product(a,b))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_9095,plain,
    ( product(product(c,C),product(c,product(a,b))) != bigC(c,C,product(a,c))
    | product(product(c,product(c,a)),product(C,product(c,b))) != product(product(c,C),product(c,product(a,b)))
    | product(product(c,product(c,a)),product(C,product(c,b))) = bigC(c,C,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),product(C,product(c,b))))),bind(Y,$fot(product(product(c,C),product(c,product(a,b))))),bind(Z,$fot(bigC(c,C,product(a,c))))]]) ).

cnf(refute_0_9096,plain,
    ( product(product(c,C),product(c,product(a,b))) != bigC(c,C,product(a,c))
    | product(product(c,product(c,a)),product(C,product(c,b))) = bigC(c,C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(C,product(c,b))),product(product(c,C),product(c,product(a,b)))) )],[refute_0_9094,refute_0_9095]) ).

cnf(refute_0_9097,plain,
    product(product(c,product(c,a)),product(C,product(c,b))) = bigC(c,C,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,C),product(c,product(a,b))),bigC(c,C,product(a,c))) )],[refute_0_9093,refute_0_9096]) ).

cnf(refute_0_9098,plain,
    ( bigC(product(c,b),a,C) != product(product(c,product(c,a)),product(C,product(c,b)))
    | product(product(c,product(c,a)),product(C,product(c,b))) != bigC(c,C,product(a,c))
    | bigC(product(c,b),a,C) = bigC(c,C,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),a,C),bigC(c,C,product(a,c))) ),[0],$fot(product(product(c,product(c,a)),product(C,product(c,b))))]]) ).

cnf(refute_0_9099,plain,
    ( bigC(product(c,b),a,C) != product(product(c,product(c,a)),product(C,product(c,b)))
    | bigC(product(c,b),a,C) = bigC(c,C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(C,product(c,b))),bigC(c,C,product(a,c))) )],[refute_0_9097,refute_0_9098]) ).

cnf(refute_0_9100,plain,
    bigC(product(c,b),a,C) = bigC(c,C,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,C),product(product(c,product(c,a)),product(C,product(c,b)))) )],[refute_0_9060,refute_0_9099]) ).

cnf(refute_0_9101,plain,
    bigC(product(c,b),a,bigC(b,b,c)) = bigC(c,bigC(b,b,c),product(a,c)),
    inference(subst,[],[refute_0_9100:[bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9102,plain,
    ( bigC(c,bigC(b,b,c),product(a,c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(product(c,b),a,bigC(b,b,c)) != bigC(c,bigC(b,b,c),product(a,c))
    | bigC(product(c,b),a,bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),a,bigC(b,b,c)))),bind(Y,$fot(bigC(c,bigC(b,b,c),product(a,c)))),bind(Z,$fot(bigC(c,product(a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_9103,plain,
    ( bigC(c,bigC(b,b,c),product(a,c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(product(c,b),a,bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,c)),bigC(c,bigC(b,b,c),product(a,c))) )],[refute_0_9101,refute_0_9102]) ).

cnf(refute_0_9104,plain,
    bigC(product(c,b),a,bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,b,c),product(a,c)),bigC(c,product(a,c),bigC(b,b,c))) )],[refute_0_9056,refute_0_9103]) ).

cnf(refute_0_9105,plain,
    ( bigC(product(c,b),a,bigC(b,b,c)) != bigC(b,a,product(c,product(c,b)))
    | bigC(product(c,b),a,bigC(b,b,c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(c,product(a,c),bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,c)),bigC(b,a,product(c,product(c,b)))) ),[0],$fot(bigC(c,product(a,c),bigC(b,b,c)))]]) ).

cnf(refute_0_9106,plain,
    ( bigC(product(c,b),a,bigC(b,b,c)) != bigC(b,a,product(c,product(c,b)))
    | bigC(c,product(a,c),bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,c)),bigC(c,product(a,c),bigC(b,b,c))) )],[refute_0_9104,refute_0_9105]) ).

cnf(refute_0_9107,plain,
    bigC(c,product(a,c),bigC(b,b,c)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(b,b,c)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9055,refute_0_9106]) ).

cnf(refute_0_9108,plain,
    bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(c,product(a,c),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,c),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_9109,plain,
    ( bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | product(product(c,b),product(b,c)) != bigC(b,b,c)
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(c,product(a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,c),product(product(c,b),product(b,c))),bigC(c,product(a,c),product(product(c,b),product(b,c)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9110,plain,
    ( product(product(c,b),product(b,c)) != bigC(b,b,c)
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(c,product(a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(product(c,b),product(b,c))),bigC(c,product(a,c),product(product(c,b),product(b,c)))) )],[refute_0_9108,refute_0_9109]) ).

cnf(refute_0_9111,plain,
    bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(c,product(a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(b,b,c)) )],[refute_0_8225,refute_0_9110]) ).

cnf(refute_0_9112,plain,
    ( bigC(c,product(a,c),bigC(b,b,c)) != bigC(b,a,product(c,product(c,b)))
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(b,a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,c),product(product(c,b),product(b,c))))),bind(Y,$fot(bigC(c,product(a,c),bigC(b,b,c)))),bind(Z,$fot(bigC(b,a,product(c,product(c,b)))))]]) ).

cnf(refute_0_9113,plain,
    ( bigC(c,product(a,c),bigC(b,b,c)) != bigC(b,a,product(c,product(c,b)))
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(product(c,b),product(b,c))),bigC(c,product(a,c),bigC(b,b,c))) )],[refute_0_9111,refute_0_9112]) ).

cnf(refute_0_9114,plain,
    bigC(c,product(a,c),product(product(c,b),product(b,c))) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,b,c)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9107,refute_0_9113]) ).

cnf(refute_0_9115,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = product(bigC(a,a,b),product(product(X_104,b),bigC(a,a,b))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(bigC(a,a,b))),bind(X_19,$fot(product(X_104,b)))]]) ).

cnf(refute_0_9116,plain,
    product(product(X_96,product(b,c)),c) = product(product(X_96,c),product(product(b,c),c)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_9117,plain,
    ( product(product(X_96,product(b,c)),c) != product(product(X_96,c),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(product(X_96,product(b,c)),c) = product(product(X_96,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(b,c)),c),product(product(X_96,c),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_9118,plain,
    ( product(product(X_96,product(b,c)),c) != product(product(X_96,c),product(product(b,c),c))
    | product(product(X_96,product(b,c)),c) = product(product(X_96,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_9117]) ).

cnf(refute_0_9119,plain,
    product(product(X_96,product(b,c)),c) = product(product(X_96,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(b,c)),c),product(product(X_96,c),product(product(b,c),c))) )],[refute_0_9116,refute_0_9118]) ).

cnf(refute_0_9120,plain,
    product(product(X_96,b),bigC(c,a,c)) = product(product(X_96,b),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(X_96,b),bigC(c,a,c)))]]) ).

cnf(refute_0_9121,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(X_96,b),bigC(c,a,c)) != product(product(X_96,b),bigC(c,a,c))
    | product(product(X_96,b),bigC(c,a,c)) = product(product(X_96,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,b),bigC(c,a,c)),product(product(X_96,b),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9122,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(X_96,b),bigC(c,a,c)) = product(product(X_96,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,b),bigC(c,a,c)),product(product(X_96,b),bigC(c,a,c))) )],[refute_0_9120,refute_0_9121]) ).

cnf(refute_0_9123,plain,
    product(product(X_96,b),bigC(c,a,c)) = product(product(X_96,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_9122]) ).

cnf(refute_0_9124,plain,
    product(product(X_96,b),bigC(c,c,a)) = product(product(X_96,b),bigC(c,a,c)),
    inference(subst,[],[refute_0_5051:[bind(X_25,$fot(b)),bind(X_97,$fot(a)),bind(X_98,$fot(c))]]) ).

cnf(refute_0_9125,plain,
    product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(c,c,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(X_96)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_9126,plain,
    ( product(product(X_96,b),bigC(c,c,a)) != product(product(X_96,b),bigC(c,a,c))
    | product(product(X_96,c),product(b,product(a,c))) != product(product(X_96,b),bigC(c,c,a))
    | product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(X_96,c),product(b,product(a,c))))),bind(Y,$fot(product(product(X_96,b),bigC(c,c,a)))),bind(Z,$fot(product(product(X_96,b),bigC(c,a,c))))]]) ).

cnf(refute_0_9127,plain,
    ( product(product(X_96,b),bigC(c,c,a)) != product(product(X_96,b),bigC(c,a,c))
    | product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),product(b,product(a,c))),product(product(X_96,b),bigC(c,c,a))) )],[refute_0_9125,refute_0_9126]) ).

cnf(refute_0_9128,plain,
    product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(X_96,b),bigC(c,c,a)),product(product(X_96,b),bigC(c,a,c))) )],[refute_0_9124,refute_0_9127]) ).

cnf(refute_0_9129,plain,
    ( product(product(X_96,b),bigC(c,a,c)) != product(product(X_96,b),bigC(a,a,b))
    | product(product(X_96,c),product(b,product(a,c))) != product(product(X_96,b),bigC(c,a,c))
    | product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(X_96,c),product(b,product(a,c))))),bind(Y,$fot(product(product(X_96,b),bigC(c,a,c)))),bind(Z,$fot(product(product(X_96,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9130,plain,
    ( product(product(X_96,b),bigC(c,a,c)) != product(product(X_96,b),bigC(a,a,b))
    | product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),product(b,product(a,c))),product(product(X_96,b),bigC(c,a,c))) )],[refute_0_9128,refute_0_9129]) ).

cnf(refute_0_9131,plain,
    product(product(X_96,c),product(b,product(a,c))) = product(product(X_96,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,b),bigC(c,a,c)),product(product(X_96,b),bigC(a,a,b))) )],[refute_0_9123,refute_0_9130]) ).

cnf(refute_0_9132,plain,
    ( product(product(X_96,c),product(b,product(a,c))) != product(product(X_96,b),bigC(a,a,b))
    | product(product(X_96,product(b,c)),c) != product(product(X_96,c),product(b,product(a,c)))
    | product(product(X_96,product(b,c)),c) = product(product(X_96,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(b,c)),c),product(product(X_96,c),product(b,product(a,c)))) ),[1],$fot(product(product(X_96,b),bigC(a,a,b)))]]) ).

cnf(refute_0_9133,plain,
    ( product(product(X_96,product(b,c)),c) != product(product(X_96,c),product(b,product(a,c)))
    | product(product(X_96,product(b,c)),c) = product(product(X_96,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,c),product(b,product(a,c))),product(product(X_96,b),bigC(a,a,b))) )],[refute_0_9131,refute_0_9132]) ).

cnf(refute_0_9134,plain,
    product(product(X_96,product(b,c)),c) = product(product(X_96,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(b,c)),c),product(product(X_96,c),product(b,product(a,c)))) )],[refute_0_9119,refute_0_9133]) ).

cnf(refute_0_9135,plain,
    product(product(X_104,product(b,c)),c) = product(product(X_104,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_9134:[bind(X_96,$fot(X_104))]]) ).

cnf(refute_0_9136,plain,
    ( product(product(X_104,product(b,c)),c) != product(product(X_104,b),bigC(a,a,b))
    | product(product(X_104,b),bigC(a,a,b)) = product(product(X_104,product(b,c)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_104,product(b,c)),c))),bind(Y,$fot(product(product(X_104,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9137,plain,
    product(product(X_104,b),bigC(a,a,b)) = product(product(X_104,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(X_104,product(b,c)),c),product(product(X_104,b),bigC(a,a,b))) )],[refute_0_9135,refute_0_9136]) ).

cnf(refute_0_9138,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != product(bigC(a,a,b),product(product(X_104,b),bigC(a,a,b)))
    | product(product(X_104,b),bigC(a,a,b)) != product(product(X_104,product(b,c)),c)
    | bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),product(bigC(a,a,b),product(product(X_104,b),bigC(a,a,b)))) ),[1,1],$fot(product(product(X_104,product(b,c)),c))]]) ).

cnf(refute_0_9139,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != product(bigC(a,a,b),product(product(X_104,b),bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(X_104,b),bigC(a,a,b)),product(product(X_104,product(b,c)),c)) )],[refute_0_9137,refute_0_9138]) ).

cnf(refute_0_9140,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = product(bigC(a,a,b),product(product(X_104,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),product(bigC(a,a,b),product(product(X_104,b),bigC(a,a,b)))) )],[refute_0_9115,refute_0_9139]) ).

cnf(refute_0_9141,plain,
    bigC(c,product(X_104,product(b,c)),product(a,c)) = bigC(c,product(a,c),product(X_104,product(b,c))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,c))),bind(C,$fot(product(X_104,product(b,c))))]]) ).

cnf(refute_0_9142,plain,
    bigC(product(a,b),difference(product(a,b),c),X_19) = product(c,product(X_19,product(a,b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(c)),bind(X_17,$fot(product(a,b)))]]) ).

cnf(refute_0_9143,plain,
    ( bigC(product(a,b),difference(product(a,b),c),X_19) != product(c,product(X_19,product(a,b)))
    | difference(product(a,b),c) != product(c,a)
    | bigC(product(a,b),product(c,a),X_19) = product(c,product(X_19,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),c),X_19),product(c,product(X_19,product(a,b)))) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_9144,plain,
    ( bigC(product(a,b),difference(product(a,b),c),X_19) != product(c,product(X_19,product(a,b)))
    | bigC(product(a,b),product(c,a),X_19) = product(c,product(X_19,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),c),product(c,a)) )],[refute_0_2236,refute_0_9143]) ).

cnf(refute_0_9145,plain,
    bigC(product(a,b),product(c,a),X_19) = product(c,product(X_19,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),c),X_19),product(c,product(X_19,product(a,b)))) )],[refute_0_9142,refute_0_9144]) ).

cnf(refute_0_9146,plain,
    bigC(difference(product(c,a),product(a,c)),X_18,product(c,a)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(a,c))),bind(X_19,$fot(product(c,a)))]]) ).

cnf(refute_0_9147,plain,
    difference(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b))) = product(a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(bigC(c,a,b),a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_9148,plain,
    ( difference(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b))) != product(a,b)
    | product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b))),product(a,b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_9149,plain,
    ( difference(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b))) != product(a,b)
    | difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_834,refute_0_9148]) ).

cnf(refute_0_9150,plain,
    difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,b))),product(a,b)) )],[refute_0_9147,refute_0_9149]) ).

cnf(refute_0_9151,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_9152,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_9153,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_9151,refute_0_9152]) ).

cnf(refute_0_9154,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_878,refute_0_9153]) ).

cnf(refute_0_9155,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_9156,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_9154,refute_0_9155]) ).

cnf(refute_0_9157,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_9150,refute_0_9156]) ).

cnf(refute_0_9158,plain,
    ( bigC(difference(product(c,a),product(a,c)),X_18,product(c,a)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | difference(product(c,a),product(a,c)) != product(a,b)
    | bigC(product(a,b),X_18,product(c,a)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),product(a,c)),X_18,product(c,a)),product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_9159,plain,
    ( bigC(difference(product(c,a),product(a,c)),X_18,product(c,a)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | bigC(product(a,b),X_18,product(c,a)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(a,c)),product(a,b)) )],[refute_0_9157,refute_0_9158]) ).

cnf(refute_0_9160,plain,
    bigC(product(a,b),X_18,product(c,a)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),product(a,c)),X_18,product(c,a)),product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))) )],[refute_0_9146,refute_0_9159]) ).

cnf(refute_0_9161,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_9162,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_9163,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_9161,refute_0_9162]) ).

cnf(refute_0_9164,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_878,refute_0_9163]) ).

cnf(refute_0_9165,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_9166,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_9164,refute_0_9165]) ).

cnf(refute_0_9167,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_2561,refute_0_9166]) ).

cnf(refute_0_9168,plain,
    bigC(product(a,b),X_18,product(c,a)) = product(bigC(a,a,b),product(X_18,c)),
    inference(subst,[],[refute_0_9167:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_9169,plain,
    ( bigC(product(a,b),X_18,product(c,a)) != product(bigC(a,a,b),product(X_18,c))
    | bigC(product(a,b),X_18,product(c,a)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | product(bigC(a,a,b),product(X_18,c)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_18,product(c,a)),product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))) ),[0],$fot(product(bigC(a,a,b),product(X_18,c)))]]) ).

cnf(refute_0_9170,plain,
    ( bigC(product(a,b),X_18,product(c,a)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | product(bigC(a,a,b),product(X_18,c)) = product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_18,product(c,a)),product(bigC(a,a,b),product(X_18,c))) )],[refute_0_9168,refute_0_9169]) ).

cnf(refute_0_9171,plain,
    bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) = bigC(difference(product(c,a),product(a,c)),product(c,a),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,a),product(a,c)),product(c,a),X_18))]]) ).

cnf(refute_0_9172,plain,
    ( bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) != bigC(difference(product(c,a),product(a,c)),product(c,a),X_18)
    | difference(product(c,a),product(a,c)) != product(a,b)
    | bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) = bigC(product(a,b),product(c,a),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),product(a,c)),product(c,a),X_18),bigC(difference(product(c,a),product(a,c)),product(c,a),X_18)) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_9173,plain,
    ( difference(product(c,a),product(a,c)) != product(a,b)
    | bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) = bigC(product(a,b),product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),product(a,c)),product(c,a),X_18),bigC(difference(product(c,a),product(a,c)),product(c,a),X_18)) )],[refute_0_9171,refute_0_9172]) ).

cnf(refute_0_9174,plain,
    bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) = bigC(product(a,b),product(c,a),X_18),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(a,c)),product(a,b)) )],[refute_0_9157,refute_0_9173]) ).

cnf(refute_0_9175,plain,
    product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) = bigC(difference(product(c,a),product(a,c)),product(c,a),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(product(c,a))),bind(C,$fot(X_18)),bind(X_70,$fot(product(a,c)))]]) ).

cnf(refute_0_9176,plain,
    ( bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) != bigC(product(a,b),product(c,a),X_18)
    | product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) != bigC(difference(product(c,a),product(a,c)),product(c,a),X_18)
    | product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) = bigC(product(a,b),product(c,a),X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)))),bind(Y,$fot(bigC(difference(product(c,a),product(a,c)),product(c,a),X_18))),bind(Z,$fot(bigC(product(a,b),product(c,a),X_18)))]]) ).

cnf(refute_0_9177,plain,
    ( bigC(difference(product(c,a),product(a,c)),product(c,a),X_18) != bigC(product(a,b),product(c,a),X_18)
    | product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) = bigC(product(a,b),product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)),bigC(difference(product(c,a),product(a,c)),product(c,a),X_18)) )],[refute_0_9175,refute_0_9176]) ).

cnf(refute_0_9178,plain,
    product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) = bigC(product(a,b),product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),product(a,c)),product(c,a),X_18),bigC(product(a,b),product(c,a),X_18)) )],[refute_0_9174,refute_0_9177]) ).

cnf(refute_0_9179,plain,
    ( product(bigC(a,a,b),product(X_18,c)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)) != bigC(product(a,b),product(c,a),X_18)
    | product(bigC(a,a,b),product(X_18,c)) = bigC(product(a,b),product(c,a),X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(X_18,c)),bigC(product(a,b),product(c,a),X_18)) ),[0],$fot(product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)))]]) ).

cnf(refute_0_9180,plain,
    ( product(bigC(a,a,b),product(X_18,c)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | product(bigC(a,a,b),product(X_18,c)) = bigC(product(a,b),product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(a,c)),X_18),product(a,c)),bigC(product(a,b),product(c,a),X_18)) )],[refute_0_9178,refute_0_9179]) ).

cnf(refute_0_9181,plain,
    ( bigC(product(a,b),X_18,product(c,a)) != product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))
    | product(bigC(a,a,b),product(X_18,c)) = bigC(product(a,b),product(c,a),X_18) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_18,c)),product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))) )],[refute_0_9170,refute_0_9180]) ).

cnf(refute_0_9182,plain,
    product(bigC(a,a,b),product(X_18,c)) = bigC(product(a,b),product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_18,product(c,a)),product(product(difference(product(c,a),product(a,c)),X_18),product(a,c))) )],[refute_0_9160,refute_0_9181]) ).

cnf(refute_0_9183,plain,
    ( product(bigC(a,a,b),product(X_18,c)) != bigC(product(a,b),product(c,a),X_18)
    | bigC(product(a,b),product(c,a),X_18) = product(bigC(a,a,b),product(X_18,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,b),product(X_18,c)))),bind(Y,$fot(bigC(product(a,b),product(c,a),X_18)))]]) ).

cnf(refute_0_9184,plain,
    bigC(product(a,b),product(c,a),X_18) = product(bigC(a,a,b),product(X_18,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_18,c)),bigC(product(a,b),product(c,a),X_18)) )],[refute_0_9182,refute_0_9183]) ).

cnf(refute_0_9185,plain,
    bigC(product(a,b),product(c,a),X_19) = product(bigC(a,a,b),product(X_19,c)),
    inference(subst,[],[refute_0_9184:[bind(X_18,$fot(X_19))]]) ).

cnf(refute_0_9186,plain,
    ( bigC(product(a,b),product(c,a),X_19) != product(bigC(a,a,b),product(X_19,c))
    | bigC(product(a,b),product(c,a),X_19) != product(c,product(X_19,product(a,b)))
    | product(bigC(a,a,b),product(X_19,c)) = product(c,product(X_19,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,a),X_19),product(c,product(X_19,product(a,b)))) ),[0],$fot(product(bigC(a,a,b),product(X_19,c)))]]) ).

cnf(refute_0_9187,plain,
    ( bigC(product(a,b),product(c,a),X_19) != product(c,product(X_19,product(a,b)))
    | product(bigC(a,a,b),product(X_19,c)) = product(c,product(X_19,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),X_19),product(bigC(a,a,b),product(X_19,c))) )],[refute_0_9185,refute_0_9186]) ).

cnf(refute_0_9188,plain,
    product(c,product(X_19,product(a,b))) = bigC(c,X_19,product(a,c)),
    inference(subst,[],[refute_0_9088:[bind(X_25,$fot(X_19))]]) ).

cnf(refute_0_9189,plain,
    ( product(bigC(a,a,b),product(X_19,c)) != product(c,product(X_19,product(a,b)))
    | product(c,product(X_19,product(a,b))) != bigC(c,X_19,product(a,c))
    | product(bigC(a,a,b),product(X_19,c)) = bigC(c,X_19,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(X_19,c)),bigC(c,X_19,product(a,c))) ),[0],$fot(product(c,product(X_19,product(a,b))))]]) ).

cnf(refute_0_9190,plain,
    ( product(bigC(a,a,b),product(X_19,c)) != product(c,product(X_19,product(a,b)))
    | product(bigC(a,a,b),product(X_19,c)) = bigC(c,X_19,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_19,product(a,b))),bigC(c,X_19,product(a,c))) )],[refute_0_9188,refute_0_9189]) ).

cnf(refute_0_9191,plain,
    ( bigC(product(a,b),product(c,a),X_19) != product(c,product(X_19,product(a,b)))
    | product(bigC(a,a,b),product(X_19,c)) = bigC(c,X_19,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_19,c)),product(c,product(X_19,product(a,b)))) )],[refute_0_9187,refute_0_9190]) ).

cnf(refute_0_9192,plain,
    product(bigC(a,a,b),product(X_19,c)) = bigC(c,X_19,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),X_19),product(c,product(X_19,product(a,b)))) )],[refute_0_9145,refute_0_9191]) ).

cnf(refute_0_9193,plain,
    product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) = bigC(c,product(X_104,product(b,c)),product(a,c)),
    inference(subst,[],[refute_0_9192:[bind(X_19,$fot(product(X_104,product(b,c))))]]) ).

cnf(refute_0_9194,plain,
    ( bigC(c,product(X_104,product(b,c)),product(a,c)) != bigC(c,product(a,c),product(X_104,product(b,c)))
    | product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) != bigC(c,product(X_104,product(b,c)),product(a,c))
    | product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(product(X_104,product(b,c)),c)))),bind(Y,$fot(bigC(c,product(X_104,product(b,c)),product(a,c)))),bind(Z,$fot(bigC(c,product(a,c),product(X_104,product(b,c)))))]]) ).

cnf(refute_0_9195,plain,
    ( bigC(c,product(X_104,product(b,c)),product(a,c)) != bigC(c,product(a,c),product(X_104,product(b,c)))
    | product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(X_104,product(b,c)),c)),bigC(c,product(X_104,product(b,c)),product(a,c))) )],[refute_0_9193,refute_0_9194]) ).

cnf(refute_0_9196,plain,
    product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) = bigC(c,product(a,c),product(X_104,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(X_104,product(b,c)),product(a,c)),bigC(c,product(a,c),product(X_104,product(b,c)))) )],[refute_0_9141,refute_0_9195]) ).

cnf(refute_0_9197,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != product(bigC(a,a,b),product(product(X_104,product(b,c)),c))
    | product(bigC(a,a,b),product(product(X_104,product(b,c)),c)) != bigC(c,product(a,c),product(X_104,product(b,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),bigC(c,product(a,c),product(X_104,product(b,c)))) ),[0],$fot(product(bigC(a,a,b),product(product(X_104,product(b,c)),c)))]]) ).

cnf(refute_0_9198,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != product(bigC(a,a,b),product(product(X_104,product(b,c)),c))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(X_104,product(b,c)),c)),bigC(c,product(a,c),product(X_104,product(b,c)))) )],[refute_0_9196,refute_0_9197]) ).

cnf(refute_0_9199,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),product(bigC(a,a,b),product(product(X_104,product(b,c)),c))) )],[refute_0_9140,refute_0_9198]) ).

cnf(refute_0_9200,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(bigC(c,a,b),a,bigC(c,a,b)))),bind(X_25,$fot(X_66)),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9201,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)),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),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)),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,c,bigC(c,a,b)))]]) ).

cnf(refute_0_9202,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),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)),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),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)),bigC(a,c,bigC(c,a,b))) )],[refute_0_1895,refute_0_9201]) ).

cnf(refute_0_9203,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_9200,refute_0_9202]) ).

cnf(refute_0_9204,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))))]]) ).

cnf(refute_0_9205,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)),product(X_66,bigC(a,a,b))) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b)))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) = product(bigC(c,a,c),product(X_66,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b)))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_9206,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)),product(X_66,bigC(a,a,b))) = product(bigC(c,a,c),product(X_66,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b)))) )],[refute_0_9204,refute_0_9205]) ).

cnf(refute_0_9207,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) = product(bigC(c,a,c),product(X_66,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_1913,refute_0_9206]) ).

cnf(refute_0_9208,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) != product(bigC(c,a,c),product(X_66,bigC(a,a,b)))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))) ),[0],$fot(product(bigC(c,a,c),product(X_66,bigC(a,a,b))))]]) ).

cnf(refute_0_9209,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(bigC(c,a,c),product(X_66,bigC(a,a,b)))) )],[refute_0_9207,refute_0_9208]) ).

cnf(refute_0_9210,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))))]]) ).

cnf(refute_0_9211,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b)))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_9212,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b)))) )],[refute_0_9210,refute_0_9211]) ).

cnf(refute_0_9213,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,c)) )],[refute_0_864,refute_0_9212]) ).

cnf(refute_0_9214,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66))]]) ).

cnf(refute_0_9215,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)),X_66) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66) = product(bigC(c,a,c),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66)) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_9216,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)),X_66) = product(bigC(c,a,c),X_66) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66)) )],[refute_0_9214,refute_0_9215]) ).

cnf(refute_0_9217,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66) = product(bigC(c,a,c),X_66),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_1913,refute_0_9216]) ).

cnf(refute_0_9218,plain,
    product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))))]]) ).

cnf(refute_0_9219,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66) != product(bigC(c,a,c),X_66)
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))) ),[1,0],$fot(product(bigC(c,a,c),X_66))]]) ).

cnf(refute_0_9220,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66) != product(bigC(c,a,c),X_66)
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))) )],[refute_0_9218,refute_0_9219]) ).

cnf(refute_0_9221,plain,
    product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),product(bigC(c,a,c),X_66)) )],[refute_0_9217,refute_0_9220]) ).

cnf(refute_0_9222,plain,
    ( product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b)))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))))),bind(Y,$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))))),bind(Z,$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,c))))]]) ).

cnf(refute_0_9223,plain,
    ( product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b)))) )],[refute_0_9221,refute_0_9222]) ).

cnf(refute_0_9224,plain,
    product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) )],[refute_0_9213,refute_0_9223]) ).

cnf(refute_0_9225,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) ),[0],$fot(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))))]]) ).

cnf(refute_0_9226,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) )],[refute_0_9224,refute_0_9225]) ).

cnf(refute_0_9227,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))) != product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))) )],[refute_0_9209,refute_0_9226]) ).

cnf(refute_0_9228,plain,
    product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(X_66,bigC(a,a,b))),product(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),X_66),bigC(a,c,bigC(c,a,b)))) )],[refute_0_9203,refute_0_9227]) ).

cnf(refute_0_9229,plain,
    product(bigC(a,a,b),product(X_66,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),X_66),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(bigC(a,a,b))),bind(X_19,$fot(X_66))]]) ).

cnf(refute_0_9230,plain,
    product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(bigC(c,a,c),product(X_66,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(X_66,bigC(a,a,b))))]]) ).

cnf(refute_0_9231,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(bigC(c,a,c),product(X_66,bigC(a,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(bigC(a,a,b),product(X_66,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(bigC(c,a,c),product(X_66,bigC(a,a,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9232,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(bigC(a,a,b),product(X_66,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(bigC(c,a,c),product(X_66,bigC(a,a,b)))) )],[refute_0_9230,refute_0_9231]) ).

cnf(refute_0_9233,plain,
    product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = product(bigC(a,a,b),product(X_66,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_9232]) ).

cnf(refute_0_9234,plain,
    ( product(bigC(a,a,b),product(X_66,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(a,a,b),X_66)
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(bigC(a,a,b),product(X_66,bigC(a,a,b)))
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),X_66) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,c),product(X_66,bigC(a,a,b))))),bind(Y,$fot(product(bigC(a,a,b),product(X_66,bigC(a,a,b))))),bind(Z,$fot(bigC(bigC(a,a,b),bigC(a,a,b),X_66)))]]) ).

cnf(refute_0_9235,plain,
    ( product(bigC(a,a,b),product(X_66,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(a,a,b),X_66)
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),X_66) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(bigC(a,a,b),product(X_66,bigC(a,a,b)))) )],[refute_0_9233,refute_0_9234]) ).

cnf(refute_0_9236,plain,
    product(bigC(c,a,c),product(X_66,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),X_66),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_66,bigC(a,a,b))),bigC(bigC(a,a,b),bigC(a,a,b),X_66)) )],[refute_0_9229,refute_0_9235]) ).

cnf(refute_0_9237,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(a,a,b),X_66)
    | product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),X_66))]]) ).

cnf(refute_0_9238,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),bigC(bigC(a,a,b),bigC(a,a,b),X_66)) )],[refute_0_9236,refute_0_9237]) ).

cnf(refute_0_9239,plain,
    product(product(bigC(a,a,b),X_66),bigC(a,a,b)) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(X_66))]]) ).

cnf(refute_0_9240,plain,
    product(product(bigC(a,a,b),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,c,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),X_66),bigC(a,c,c)))]]) ).

cnf(refute_0_9241,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | product(product(bigC(a,a,b),X_66),bigC(a,c,c)) != product(product(bigC(a,a,b),X_66),bigC(a,c,c))
    | product(product(bigC(a,a,b),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),X_66),bigC(a,c,c)),product(product(bigC(a,a,b),X_66),bigC(a,c,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9242,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | product(product(bigC(a,a,b),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_66),bigC(a,c,c)),product(product(bigC(a,a,b),X_66),bigC(a,c,c))) )],[refute_0_9240,refute_0_9241]) ).

cnf(refute_0_9243,plain,
    product(product(bigC(a,a,b),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_1941,refute_0_9242]) ).

cnf(refute_0_9244,plain,
    product(bigC(c,a,c),X_66) = product(bigC(c,a,c),X_66),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),X_66))]]) ).

cnf(refute_0_9245,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),X_66) != product(bigC(c,a,c),X_66)
    | product(bigC(c,a,c),X_66) = product(bigC(a,a,b),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),X_66),product(bigC(c,a,c),X_66)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9246,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),X_66) = product(bigC(a,a,b),X_66) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),X_66),product(bigC(c,a,c),X_66)) )],[refute_0_9244,refute_0_9245]) ).

cnf(refute_0_9247,plain,
    product(bigC(c,a,c),X_66) = product(bigC(a,a,b),X_66),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_9246]) ).

cnf(refute_0_9248,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(c,a,c),X_66),bigC(a,c,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,c)))]]) ).

cnf(refute_0_9249,plain,
    ( product(bigC(c,a,c),X_66) != product(bigC(a,a,b),X_66)
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,c)),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) ),[1,0],$fot(product(bigC(a,a,b),X_66))]]) ).

cnf(refute_0_9250,plain,
    ( product(bigC(c,a,c),X_66) != product(bigC(a,a,b),X_66)
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,c)),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) )],[refute_0_9248,refute_0_9249]) ).

cnf(refute_0_9251,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,c,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),X_66),product(bigC(a,a,b),X_66)) )],[refute_0_9247,refute_0_9250]) ).

cnf(refute_0_9252,plain,
    ( product(product(bigC(a,a,b),X_66),bigC(a,c,c)) != product(product(bigC(a,a,b),X_66),bigC(a,a,b))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) != product(product(bigC(a,a,b),X_66),bigC(a,c,c))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,c)))),bind(Y,$fot(product(product(bigC(a,a,b),X_66),bigC(a,c,c)))),bind(Z,$fot(product(product(bigC(a,a,b),X_66),bigC(a,a,b))))]]) ).

cnf(refute_0_9253,plain,
    ( product(product(bigC(a,a,b),X_66),bigC(a,c,c)) != product(product(bigC(a,a,b),X_66),bigC(a,a,b))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,c)),product(product(bigC(a,a,b),X_66),bigC(a,c,c))) )],[refute_0_9251,refute_0_9252]) ).

cnf(refute_0_9254,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = product(product(bigC(a,a,b),X_66),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_66),bigC(a,c,c)),product(product(bigC(a,a,b),X_66),bigC(a,a,b))) )],[refute_0_9243,refute_0_9253]) ).

cnf(refute_0_9255,plain,
    ( product(product(bigC(a,a,b),X_66),bigC(a,a,b)) != bigC(bigC(a,a,b),X_66,bigC(a,a,b))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) != product(product(bigC(a,a,b),X_66),bigC(a,a,b))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,c)))),bind(Y,$fot(product(product(bigC(a,a,b),X_66),bigC(a,a,b)))),bind(Z,$fot(bigC(bigC(a,a,b),X_66,bigC(a,a,b))))]]) ).

cnf(refute_0_9256,plain,
    ( product(product(bigC(a,a,b),X_66),bigC(a,a,b)) != bigC(bigC(a,a,b),X_66,bigC(a,a,b))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,c)),product(product(bigC(a,a,b),X_66),bigC(a,a,b))) )],[refute_0_9254,refute_0_9255]) ).

cnf(refute_0_9257,plain,
    product(product(bigC(c,a,c),X_66),bigC(a,c,c)) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_66),bigC(a,a,b)),bigC(bigC(a,a,b),X_66,bigC(a,a,b))) )],[refute_0_9239,refute_0_9256]) ).

cnf(refute_0_9258,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),X_66) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | product(product(bigC(c,a,c),X_66),bigC(a,c,c)) != bigC(bigC(a,a,b),X_66,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),X_66),bigC(bigC(a,a,b),X_66,bigC(a,a,b))) ),[0],$fot(product(product(bigC(c,a,c),X_66),bigC(a,c,c)))]]) ).

cnf(refute_0_9259,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),X_66) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),bigC(a,c,c)),bigC(bigC(a,a,b),X_66,bigC(a,a,b))) )],[refute_0_9257,refute_0_9258]) ).

cnf(refute_0_9260,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(a,a,b))) != product(product(bigC(c,a,c),X_66),bigC(a,c,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),X_66),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) )],[refute_0_9238,refute_0_9259]) ).

cnf(refute_0_9261,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(bigC(a,a,b),X_66,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(a,a,b))),product(product(bigC(c,a,c),X_66),bigC(a,c,c))) )],[refute_0_9228,refute_0_9260]) ).

cnf(refute_0_9262,plain,
    bigC(product(a,c),difference(product(a,c),product(bigC(a,a,b),c)),X_19) = product(product(bigC(a,a,b),c),product(X_19,product(a,c))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(product(bigC(a,a,b),c))),bind(X_17,$fot(product(a,c)))]]) ).

cnf(refute_0_9263,plain,
    difference(product(a,c),bigC(a,c,product(c,b))) = product(product(c,b),a),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(a)),bind(X_18,$fot(c)),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_9264,plain,
    product(product(X_96,product(c,b)),a) = product(product(X_96,a),product(product(c,b),a)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(c,b))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_9265,plain,
    ( product(product(X_96,product(c,b)),a) != product(product(X_96,a),product(product(c,b),a))
    | product(product(c,b),a) != product(c,product(c,a))
    | product(product(X_96,product(c,b)),a) = product(product(X_96,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(c,b)),a),product(product(X_96,a),product(product(c,b),a))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9266,plain,
    ( product(product(X_96,product(c,b)),a) != product(product(X_96,a),product(product(c,b),a))
    | product(product(X_96,product(c,b)),a) = product(product(X_96,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_9265]) ).

cnf(refute_0_9267,plain,
    product(product(X_96,product(c,b)),a) = product(product(X_96,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(c,b)),a),product(product(X_96,a),product(product(c,b),a))) )],[refute_0_9264,refute_0_9266]) ).

cnf(refute_0_9268,plain,
    product(product(X_96,a),product(c,product(c,a))) = product(product(X_96,c),bigC(a,a,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(X_96)),bind(B,$fot(a)),bind(C,$fot(c)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_9269,plain,
    ( product(product(X_96,a),product(c,product(c,a))) != product(product(X_96,c),bigC(a,a,c))
    | product(product(X_96,product(c,b)),a) != product(product(X_96,a),product(c,product(c,a)))
    | product(product(X_96,product(c,b)),a) = product(product(X_96,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(c,b)),a),product(product(X_96,a),product(c,product(c,a)))) ),[1],$fot(product(product(X_96,c),bigC(a,a,c)))]]) ).

cnf(refute_0_9270,plain,
    ( product(product(X_96,product(c,b)),a) != product(product(X_96,a),product(c,product(c,a)))
    | product(product(X_96,product(c,b)),a) = product(product(X_96,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,a),product(c,product(c,a))),product(product(X_96,c),bigC(a,a,c))) )],[refute_0_9268,refute_0_9269]) ).

cnf(refute_0_9271,plain,
    product(product(X_96,product(c,b)),a) = product(product(X_96,c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(c,b)),a),product(product(X_96,a),product(c,product(c,a)))) )],[refute_0_9267,refute_0_9270]) ).

cnf(refute_0_9272,plain,
    product(product(difference(b,c),product(c,b)),a) = product(product(difference(b,c),c),bigC(a,a,c)),
    inference(subst,[],[refute_0_9271:[bind(X_96,$fot(difference(b,c)))]]) ).

cnf(refute_0_9273,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(product(difference(b,c),product(c,b)),a) != product(product(difference(b,c),c),bigC(a,a,c))
    | product(product(difference(b,c),product(c,b)),a) = product(product(a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),product(c,b)),a),product(product(difference(b,c),c),bigC(a,a,c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_9274,plain,
    ( product(product(difference(b,c),product(c,b)),a) != product(product(difference(b,c),c),bigC(a,a,c))
    | product(product(difference(b,c),product(c,b)),a) = product(product(a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_9273]) ).

cnf(refute_0_9275,plain,
    product(product(difference(b,c),product(c,b)),a) = product(product(a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(c,b)),a),product(product(difference(b,c),c),bigC(a,a,c))) )],[refute_0_9272,refute_0_9274]) ).

cnf(refute_0_9276,plain,
    product(product(difference(b,c),product(c,b)),a) = bigC(a,c,product(c,b)),
    inference(subst,[],[refute_0_5370:[bind(X_24,$fot(product(c,b)))]]) ).

cnf(refute_0_9277,plain,
    ( product(product(difference(b,c),product(c,b)),a) != bigC(a,c,product(c,b))
    | product(product(difference(b,c),product(c,b)),a) != product(product(a,b),bigC(a,a,c))
    | bigC(a,c,product(c,b)) = product(product(a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),product(c,b)),a),product(product(a,b),bigC(a,a,c))) ),[0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_9278,plain,
    ( product(product(difference(b,c),product(c,b)),a) != product(product(a,b),bigC(a,a,c))
    | bigC(a,c,product(c,b)) = product(product(a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(c,b)),a),bigC(a,c,product(c,b))) )],[refute_0_9276,refute_0_9277]) ).

cnf(refute_0_9279,plain,
    ( bigC(a,b,product(a,c)) != product(bigC(a,a,b),c)
    | product(product(a,b),bigC(a,a,c)) != bigC(a,b,product(a,c))
    | product(product(a,b),bigC(a,a,c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),bigC(a,a,c)))),bind(Y,$fot(bigC(a,b,product(a,c)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_9280,plain,
    ( bigC(a,b,product(a,c)) != product(bigC(a,a,b),c)
    | product(product(a,b),bigC(a,a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),bigC(a,b,product(a,c))) )],[refute_0_8274,refute_0_9279]) ).

cnf(refute_0_9281,plain,
    product(product(a,b),bigC(a,a,c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,c)),product(bigC(a,a,b),c)) )],[refute_0_8819,refute_0_9280]) ).

cnf(refute_0_9282,plain,
    ( bigC(a,c,product(c,b)) != product(product(a,b),bigC(a,a,c))
    | product(product(a,b),bigC(a,a,c)) != product(bigC(a,a,b),c)
    | bigC(a,c,product(c,b)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,product(c,b)),product(bigC(a,a,b),c)) ),[0],$fot(product(product(a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_9283,plain,
    ( bigC(a,c,product(c,b)) != product(product(a,b),bigC(a,a,c))
    | bigC(a,c,product(c,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,c)),product(bigC(a,a,b),c)) )],[refute_0_9281,refute_0_9282]) ).

cnf(refute_0_9284,plain,
    ( product(product(difference(b,c),product(c,b)),a) != product(product(a,b),bigC(a,a,c))
    | bigC(a,c,product(c,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(product(a,b),bigC(a,a,c))) )],[refute_0_9278,refute_0_9283]) ).

cnf(refute_0_9285,plain,
    bigC(a,c,product(c,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(c,b)),a),product(product(a,b),bigC(a,a,c))) )],[refute_0_9275,refute_0_9284]) ).

cnf(refute_0_9286,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | difference(product(a,c),bigC(a,c,product(c,b))) != product(product(c,b),a)
    | difference(product(a,c),product(bigC(a,a,b),c)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(a,c,product(c,b))),product(product(c,b),a)) ),[0,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_9287,plain,
    ( difference(product(a,c),bigC(a,c,product(c,b))) != product(product(c,b),a)
    | difference(product(a,c),product(bigC(a,a,b),c)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(bigC(a,a,b),c)) )],[refute_0_9285,refute_0_9286]) ).

cnf(refute_0_9288,plain,
    difference(product(a,c),product(bigC(a,a,b),c)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,c,product(c,b))),product(product(c,b),a)) )],[refute_0_9263,refute_0_9287]) ).

cnf(refute_0_9289,plain,
    ( difference(product(a,c),product(bigC(a,a,b),c)) != product(product(c,b),a)
    | product(product(c,b),a) != product(c,product(c,a))
    | difference(product(a,c),product(bigC(a,a,b),c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),product(bigC(a,a,b),c)),product(c,product(c,a))) ),[0],$fot(product(product(c,b),a))]]) ).

cnf(refute_0_9290,plain,
    ( difference(product(a,c),product(bigC(a,a,b),c)) != product(product(c,b),a)
    | difference(product(a,c),product(bigC(a,a,b),c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_9289]) ).

cnf(refute_0_9291,plain,
    difference(product(a,c),product(bigC(a,a,b),c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(bigC(a,a,b),c)),product(product(c,b),a)) )],[refute_0_9288,refute_0_9290]) ).

cnf(refute_0_9292,plain,
    ( bigC(product(a,c),difference(product(a,c),product(bigC(a,a,b),c)),X_19) != product(product(bigC(a,a,b),c),product(X_19,product(a,c)))
    | difference(product(a,c),product(bigC(a,a,b),c)) != product(c,product(c,a))
    | bigC(product(a,c),product(c,product(c,a)),X_19) = product(product(bigC(a,a,b),c),product(X_19,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(bigC(a,a,b),c)),X_19),product(product(bigC(a,a,b),c),product(X_19,product(a,c)))) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9293,plain,
    ( bigC(product(a,c),difference(product(a,c),product(bigC(a,a,b),c)),X_19) != product(product(bigC(a,a,b),c),product(X_19,product(a,c)))
    | bigC(product(a,c),product(c,product(c,a)),X_19) = product(product(bigC(a,a,b),c),product(X_19,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(bigC(a,a,b),c)),product(c,product(c,a))) )],[refute_0_9291,refute_0_9292]) ).

cnf(refute_0_9294,plain,
    bigC(product(a,c),product(c,product(c,a)),X_19) = product(product(bigC(a,a,b),c),product(X_19,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(bigC(a,a,b),c)),X_19),product(product(bigC(a,a,b),c),product(X_19,product(a,c)))) )],[refute_0_9262,refute_0_9293]) ).

cnf(refute_0_9295,plain,
    product(product(bigC(a,a,b),X_19),bigC(a,a,b)) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(X_19))]]) ).

cnf(refute_0_9296,plain,
    product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = product(product(bigC(a,a,b),X_19),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),X_19),bigC(c,a,c)))]]) ).

cnf(refute_0_9297,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) != product(product(bigC(a,a,b),X_19),bigC(c,a,c))
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = product(product(bigC(a,a,b),X_19),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(c,a,c)),product(product(bigC(a,a,b),X_19),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9298,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = product(product(bigC(a,a,b),X_19),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(c,a,c)),product(product(bigC(a,a,b),X_19),bigC(c,a,c))) )],[refute_0_9296,refute_0_9297]) ).

cnf(refute_0_9299,plain,
    product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = product(product(bigC(a,a,b),X_19),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_9298]) ).

cnf(refute_0_9300,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(a,a,b)) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) != product(product(bigC(a,a,b),X_19),bigC(a,a,b))
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),X_19),bigC(c,a,c)))),bind(Y,$fot(product(product(bigC(a,a,b),X_19),bigC(a,a,b)))),bind(Z,$fot(bigC(bigC(a,a,b),X_19,bigC(a,a,b))))]]) ).

cnf(refute_0_9301,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(a,a,b)) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(c,a,c)),product(product(bigC(a,a,b),X_19),bigC(a,a,b))) )],[refute_0_9299,refute_0_9300]) ).

cnf(refute_0_9302,plain,
    product(product(bigC(a,a,b),X_19),bigC(c,a,c)) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(a,a,b)),bigC(bigC(a,a,b),X_19,bigC(a,a,b))) )],[refute_0_9295,refute_0_9301]) ).

cnf(refute_0_9303,plain,
    product(product(bigC(a,a,b),X_19),bigC(c,c,a)) = product(product(bigC(a,a,b),X_19),bigC(c,a,c)),
    inference(subst,[],[refute_0_5051:[bind(X_25,$fot(X_19)),bind(X_96,$fot(bigC(a,a,b))),bind(X_97,$fot(a)),bind(X_98,$fot(c))]]) ).

cnf(refute_0_9304,plain,
    product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = product(product(bigC(a,a,b),X_19),bigC(c,c,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c)),bind(C,$fot(X_19)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_9305,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(c,c,a)) != product(product(bigC(a,a,b),X_19),bigC(c,a,c))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) != product(product(bigC(a,a,b),X_19),bigC(c,c,a))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = product(product(bigC(a,a,b),X_19),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(X_19,product(a,c))))),bind(Y,$fot(product(product(bigC(a,a,b),X_19),bigC(c,c,a)))),bind(Z,$fot(product(product(bigC(a,a,b),X_19),bigC(c,a,c))))]]) ).

cnf(refute_0_9306,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(c,c,a)) != product(product(bigC(a,a,b),X_19),bigC(c,a,c))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = product(product(bigC(a,a,b),X_19),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_19,product(a,c))),product(product(bigC(a,a,b),X_19),bigC(c,c,a))) )],[refute_0_9304,refute_0_9305]) ).

cnf(refute_0_9307,plain,
    product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = product(product(bigC(a,a,b),X_19),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(c,c,a)),product(product(bigC(a,a,b),X_19),bigC(c,a,c))) )],[refute_0_9303,refute_0_9306]) ).

cnf(refute_0_9308,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(c,a,c)) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) != product(product(bigC(a,a,b),X_19),bigC(c,a,c))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(X_19,product(a,c))))),bind(Y,$fot(product(product(bigC(a,a,b),X_19),bigC(c,a,c)))),bind(Z,$fot(bigC(bigC(a,a,b),X_19,bigC(a,a,b))))]]) ).

cnf(refute_0_9309,plain,
    ( product(product(bigC(a,a,b),X_19),bigC(c,a,c)) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_19,product(a,c))),product(product(bigC(a,a,b),X_19),bigC(c,a,c))) )],[refute_0_9307,refute_0_9308]) ).

cnf(refute_0_9310,plain,
    product(product(bigC(a,a,b),c),product(X_19,product(a,c))) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_19),bigC(c,a,c)),bigC(bigC(a,a,b),X_19,bigC(a,a,b))) )],[refute_0_9302,refute_0_9309]) ).

cnf(refute_0_9311,plain,
    ( bigC(product(a,c),product(c,product(c,a)),X_19) != product(product(bigC(a,a,b),c),product(X_19,product(a,c)))
    | product(product(bigC(a,a,b),c),product(X_19,product(a,c))) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | bigC(product(a,c),product(c,product(c,a)),X_19) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,product(c,a)),X_19),bigC(bigC(a,a,b),X_19,bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,a,b),c),product(X_19,product(a,c))))]]) ).

cnf(refute_0_9312,plain,
    ( bigC(product(a,c),product(c,product(c,a)),X_19) != product(product(bigC(a,a,b),c),product(X_19,product(a,c)))
    | bigC(product(a,c),product(c,product(c,a)),X_19) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_19,product(a,c))),bigC(bigC(a,a,b),X_19,bigC(a,a,b))) )],[refute_0_9310,refute_0_9311]) ).

cnf(refute_0_9313,plain,
    bigC(product(a,c),product(c,product(c,a)),X_19) = bigC(bigC(a,a,b),X_19,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),X_19),product(product(bigC(a,a,b),c),product(X_19,product(a,c)))) )],[refute_0_9294,refute_0_9312]) ).

cnf(refute_0_9314,plain,
    ( bigC(product(a,c),product(c,product(c,a)),X_19) != bigC(bigC(a,a,b),X_19,bigC(a,a,b))
    | bigC(bigC(a,a,b),X_19,bigC(a,a,b)) = bigC(product(a,c),product(c,product(c,a)),X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,c),product(c,product(c,a)),X_19))),bind(Y,$fot(bigC(bigC(a,a,b),X_19,bigC(a,a,b))))]]) ).

cnf(refute_0_9315,plain,
    bigC(bigC(a,a,b),X_19,bigC(a,a,b)) = bigC(product(a,c),product(c,product(c,a)),X_19),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),X_19),bigC(bigC(a,a,b),X_19,bigC(a,a,b))) )],[refute_0_9313,refute_0_9314]) ).

cnf(refute_0_9316,plain,
    bigC(bigC(a,a,b),X_66,bigC(a,a,b)) = bigC(product(a,c),product(c,product(c,a)),X_66),
    inference(subst,[],[refute_0_9315:[bind(X_19,$fot(X_66))]]) ).

cnf(refute_0_9317,plain,
    ( bigC(bigC(a,a,b),X_66,bigC(a,a,b)) != bigC(product(a,c),product(c,product(c,a)),X_66)
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) != bigC(bigC(a,a,b),X_66,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(product(a,c),product(c,product(c,a)),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),X_66),bigC(bigC(a,a,b),X_66,bigC(a,a,b))) ),[1],$fot(bigC(product(a,c),product(c,product(c,a)),X_66))]]) ).

cnf(refute_0_9318,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),X_66) != bigC(bigC(a,a,b),X_66,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(product(a,c),product(c,product(c,a)),X_66) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),X_66,bigC(a,a,b)),bigC(product(a,c),product(c,product(c,a)),X_66)) )],[refute_0_9316,refute_0_9317]) ).

cnf(refute_0_9319,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),X_66) = bigC(product(a,c),product(c,product(c,a)),X_66),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),X_66),bigC(bigC(a,a,b),X_66,bigC(a,a,b))) )],[refute_0_9261,refute_0_9318]) ).

cnf(refute_0_9320,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) = bigC(product(a,c),product(c,product(c,a)),product(X_104,b)),
    inference(subst,[],[refute_0_9319:[bind(X_66,$fot(product(X_104,b)))]]) ).

cnf(refute_0_9321,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != bigC(c,product(a,c),product(X_104,product(b,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != bigC(product(a,c),product(c,product(c,a)),product(X_104,b))
    | bigC(product(a,c),product(c,product(c,a)),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),bigC(c,product(a,c),product(X_104,product(b,c)))) ),[0],$fot(bigC(product(a,c),product(c,product(c,a)),product(X_104,b)))]]) ).

cnf(refute_0_9322,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)) != bigC(c,product(a,c),product(X_104,product(b,c)))
    | bigC(product(a,c),product(c,product(c,a)),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),bigC(product(a,c),product(c,product(c,a)),product(X_104,b))) )],[refute_0_9320,refute_0_9321]) ).

cnf(refute_0_9323,plain,
    bigC(product(a,c),product(c,product(c,a)),product(X_104,b)) = bigC(c,product(a,c),product(X_104,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(X_104,b)),bigC(c,product(a,c),product(X_104,product(b,c)))) )],[refute_0_9199,refute_0_9322]) ).

cnf(refute_0_9324,plain,
    bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))),
    inference(subst,[],[refute_0_9323:[bind(X_104,$fot(product(c,b)))]]) ).

cnf(refute_0_9325,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)),
    inference(subst,[],[refute_0_9319:[bind(X_66,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_9326,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b))
    | bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)))),bind(Y,$fot(bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)))),bind(Z,$fot(bigC(c,product(a,c),product(product(c,b),product(b,c)))))]]) ).

cnf(refute_0_9327,plain,
    ( bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b))) )],[refute_0_9325,refute_0_9326]) ).

cnf(refute_0_9328,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)),bigC(c,product(a,c),product(product(c,b),product(b,c)))) )],[refute_0_9324,refute_0_9327]) ).

cnf(refute_0_9329,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(b,a,product(c,product(c,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)))),bind(Y,$fot(bigC(c,product(a,c),product(product(c,b),product(b,c))))),bind(Z,$fot(bigC(b,a,product(c,product(c,b)))))]]) ).

cnf(refute_0_9330,plain,
    ( bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(b,a,product(c,product(c,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(c,product(a,c),product(product(c,b),product(b,c)))) )],[refute_0_9328,refute_0_9329]) ).

cnf(refute_0_9331,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(product(c,b),product(b,c))),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9114,refute_0_9330]) ).

cnf(refute_0_9332,plain,
    product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) = product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)))]]) ).

cnf(refute_0_9333,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(b,a,product(c,product(c,b)))
    | product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) != product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))
    | product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) = product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))) ),[1,0],$fot(bigC(b,a,product(c,product(c,b))))]]) ).

cnf(refute_0_9334,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(b,a,product(c,product(c,b)))
    | product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) = product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))) )],[refute_0_9332,refute_0_9333]) ).

cnf(refute_0_9335,plain,
    product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) = product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9331,refute_0_9334]) ).

cnf(refute_0_9336,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))))]]) ).

cnf(refute_0_9337,plain,
    ( product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) != product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))) ),[1,0],$fot(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)))]]) ).

cnf(refute_0_9338,plain,
    ( product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)) != product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))) )],[refute_0_9336,refute_0_9337]) ).

cnf(refute_0_9339,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b))) )],[refute_0_9335,refute_0_9338]) ).

cnf(refute_0_9340,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))))),bind(Y,$fot(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))))),bind(Z,$fot(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))))]]) ).

cnf(refute_0_9341,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))) )],[refute_0_9339,refute_0_9340]) ).

cnf(refute_0_9342,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))) )],[refute_0_8844,refute_0_9341]) ).

cnf(refute_0_9343,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))))),bind(Y,$fot(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))))),bind(Z,$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_9344,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b))))) )],[refute_0_9342,refute_0_9343]) ).

cnf(refute_0_9345,plain,
    product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),bigC(a,a,b)),product(c,product(a,product(product(a,product(b,c)),b)))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_5670,refute_0_9344]) ).

cnf(refute_0_9346,plain,
    ( product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != bigC(a,a,b)
    | product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),bigC(a,a,b)) ),[0],$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_9347,plain,
    ( product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) != bigC(a,a,b)
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_9345,refute_0_9346]) ).

cnf(refute_0_9348,plain,
    product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))),bigC(a,a,b)) )],[refute_0_5418,refute_0_9347]) ).

cnf(refute_0_9349,plain,
    product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))))),bind(C,$fot(a))]]) ).

cnf(refute_0_9350,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),bigC(a,a,product(b,c)))))) = product(c,a),
    inference(subst,[],[refute_0_4079:[bind(B,$fot(product(c,a))),bind(X_41,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_9351,plain,
    difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(bigC(a,a,b))),bind(X_16,$fot(product(c,a)))]]) ).

cnf(refute_0_9352,plain,
    ( bigC(a,c,product(c,a)) != product(product(c,a),bigC(a,a,b))
    | product(product(c,a),bigC(a,a,b)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,c,product(c,a)))),bind(Y,$fot(product(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_9353,plain,
    product(product(c,a),bigC(a,a,b)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),product(product(c,a),bigC(a,a,b))) )],[refute_0_2298,refute_0_9352]) ).

cnf(refute_0_9354,plain,
    ( difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(a,a,b)) != bigC(a,c,product(c,a))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,a),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_9355,plain,
    ( difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),bigC(a,a,b)))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,a),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(a,c,product(c,a))) )],[refute_0_9353,refute_0_9354]) ).

cnf(refute_0_9356,plain,
    difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,a),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),bigC(a,a,b)))) )],[refute_0_9351,refute_0_9355]) ).

cnf(refute_0_9357,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,c)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(a,a,c))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_9358,plain,
    bigC(product(c,a),X_18,quotient(bigC(c,a,product(c,a)),product(c,a))) = product(product(product(c,a),X_18),bigC(c,a,product(c,a))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(bigC(c,a,product(c,a)))),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_9359,plain,
    ( bigC(product(c,a),X_18,quotient(bigC(c,a,product(c,a)),product(c,a))) != product(product(product(c,a),X_18),bigC(c,a,product(c,a)))
    | quotient(bigC(c,a,product(c,a)),product(c,a)) != bigC(a,a,c)
    | bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(product(c,a),X_18),bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),X_18,quotient(bigC(c,a,product(c,a)),product(c,a))),product(product(product(c,a),X_18),bigC(c,a,product(c,a)))) ),[0,2],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_9360,plain,
    ( bigC(product(c,a),X_18,quotient(bigC(c,a,product(c,a)),product(c,a))) != product(product(product(c,a),X_18),bigC(c,a,product(c,a)))
    | bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(product(c,a),X_18),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),product(c,a)),bigC(a,a,c)) )],[refute_0_2276,refute_0_9359]) ).

cnf(refute_0_9361,plain,
    bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(product(c,a),X_18),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,quotient(bigC(c,a,product(c,a)),product(c,a))),product(product(product(c,a),X_18),bigC(c,a,product(c,a)))) )],[refute_0_9358,refute_0_9360]) ).

cnf(refute_0_9362,plain,
    product(X_18,product(product(c,a),c)) = product(X_18,product(product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(X_18,product(product(c,a),c)))]]) ).

cnf(refute_0_9363,plain,
    ( product(X_18,product(product(c,a),c)) != product(X_18,product(product(c,a),c))
    | product(product(c,a),c) != bigC(a,a,b)
    | product(X_18,product(product(c,a),c)) = product(X_18,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_18,product(product(c,a),c)),product(X_18,product(product(c,a),c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9364,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | product(X_18,product(product(c,a),c)) = product(X_18,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(X_18,product(product(c,a),c)),product(X_18,product(product(c,a),c))) )],[refute_0_9362,refute_0_9363]) ).

cnf(refute_0_9365,plain,
    product(X_18,product(product(c,a),c)) = product(X_18,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_9364]) ).

cnf(refute_0_9366,plain,
    product(product(c,a),product(X_18,product(product(c,a),c))) = product(product(c,a),product(X_18,product(product(c,a),c))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(X_18,product(product(c,a),c))))]]) ).

cnf(refute_0_9367,plain,
    ( product(X_18,product(product(c,a),c)) != product(X_18,bigC(a,a,b))
    | product(product(c,a),product(X_18,product(product(c,a),c))) != product(product(c,a),product(X_18,product(product(c,a),c)))
    | product(product(c,a),product(X_18,product(product(c,a),c))) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(X_18,product(product(c,a),c))),product(product(c,a),product(X_18,product(product(c,a),c)))) ),[1,1],$fot(product(X_18,bigC(a,a,b)))]]) ).

cnf(refute_0_9368,plain,
    ( product(X_18,product(product(c,a),c)) != product(X_18,bigC(a,a,b))
    | product(product(c,a),product(X_18,product(product(c,a),c))) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_18,product(product(c,a),c))),product(product(c,a),product(X_18,product(product(c,a),c)))) )],[refute_0_9366,refute_0_9367]) ).

cnf(refute_0_9369,plain,
    product(product(c,a),product(X_18,product(product(c,a),c))) = product(product(c,a),product(X_18,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(X_18,product(product(c,a),c)),product(X_18,bigC(a,a,b))) )],[refute_0_9365,refute_0_9368]) ).

cnf(refute_0_9370,plain,
    product(product(product(c,a),X_18),bigC(c,a,product(c,a))) = product(product(c,a),product(X_18,product(product(c,a),c))),
    inference(subst,[],[refute_0_3039:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(c,a))),bind(X_66,$fot(X_18))]]) ).

cnf(refute_0_9371,plain,
    ( product(product(c,a),product(X_18,product(product(c,a),c))) != product(product(c,a),product(X_18,bigC(a,a,b)))
    | product(product(product(c,a),X_18),bigC(c,a,product(c,a))) != product(product(c,a),product(X_18,product(product(c,a),c)))
    | product(product(product(c,a),X_18),bigC(c,a,product(c,a))) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),X_18),bigC(c,a,product(c,a))))),bind(Y,$fot(product(product(c,a),product(X_18,product(product(c,a),c))))),bind(Z,$fot(product(product(c,a),product(X_18,bigC(a,a,b)))))]]) ).

cnf(refute_0_9372,plain,
    ( product(product(c,a),product(X_18,product(product(c,a),c))) != product(product(c,a),product(X_18,bigC(a,a,b)))
    | product(product(product(c,a),X_18),bigC(c,a,product(c,a))) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_18),bigC(c,a,product(c,a))),product(product(c,a),product(X_18,product(product(c,a),c)))) )],[refute_0_9370,refute_0_9371]) ).

cnf(refute_0_9373,plain,
    product(product(product(c,a),X_18),bigC(c,a,product(c,a))) = product(product(c,a),product(X_18,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_18,product(product(c,a),c))),product(product(c,a),product(X_18,bigC(a,a,b)))) )],[refute_0_9369,refute_0_9372]) ).

cnf(refute_0_9374,plain,
    ( bigC(product(c,a),X_18,bigC(a,a,c)) != product(product(product(c,a),X_18),bigC(c,a,product(c,a)))
    | product(product(product(c,a),X_18),bigC(c,a,product(c,a))) != product(product(c,a),product(X_18,bigC(a,a,b)))
    | bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),X_18,bigC(a,a,c)),product(product(c,a),product(X_18,bigC(a,a,b)))) ),[0],$fot(product(product(product(c,a),X_18),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_9375,plain,
    ( bigC(product(c,a),X_18,bigC(a,a,c)) != product(product(product(c,a),X_18),bigC(c,a,product(c,a)))
    | bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(c,a),product(X_18,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_18),bigC(c,a,product(c,a))),product(product(c,a),product(X_18,bigC(a,a,b)))) )],[refute_0_9373,refute_0_9374]) ).

cnf(refute_0_9376,plain,
    bigC(product(c,a),X_18,bigC(a,a,c)) = product(product(c,a),product(X_18,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,bigC(a,a,c)),product(product(product(c,a),X_18),bigC(c,a,product(c,a)))) )],[refute_0_9361,refute_0_9375]) ).

cnf(refute_0_9377,plain,
    ( bigC(product(c,a),X_18,bigC(a,a,c)) != product(product(c,a),product(X_18,bigC(a,a,b)))
    | product(product(c,a),product(X_18,bigC(a,a,b))) = bigC(product(c,a),X_18,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,a),X_18,bigC(a,a,c)))),bind(Y,$fot(product(product(c,a),product(X_18,bigC(a,a,b)))))]]) ).

cnf(refute_0_9378,plain,
    product(product(c,a),product(X_18,bigC(a,a,b))) = bigC(product(c,a),X_18,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,bigC(a,a,c)),product(product(c,a),product(X_18,bigC(a,a,b)))) )],[refute_0_9376,refute_0_9377]) ).

cnf(refute_0_9379,plain,
    product(product(c,a),product(product(c,a),bigC(a,a,b))) = bigC(product(c,a),product(c,a),bigC(a,a,c)),
    inference(subst,[],[refute_0_9378:[bind(X_18,$fot(product(c,a)))]]) ).

cnf(refute_0_9380,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,c)) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | product(product(c,a),product(product(c,a),bigC(a,a,b))) != bigC(product(c,a),product(c,a),bigC(a,a,c))
    | product(product(c,a),product(product(c,a),bigC(a,a,b))) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,a),bigC(a,a,b))))),bind(Y,$fot(bigC(product(c,a),product(c,a),bigC(a,a,c)))),bind(Z,$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_9381,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,c)) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | product(product(c,a),product(product(c,a),bigC(a,a,b))) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),bigC(a,a,b))),bigC(product(c,a),product(c,a),bigC(a,a,c))) )],[refute_0_9379,refute_0_9380]) ).

cnf(refute_0_9382,plain,
    product(product(c,a),product(product(c,a),bigC(a,a,b))) = product(product(c,bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,c)),product(product(c,bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_9357,refute_0_9381]) ).

cnf(refute_0_9383,plain,
    difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) = product(product(c,a),product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_1009:[bind(B,$fot(c)),bind(D,$fot(a)),bind(X_29,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9384,plain,
    ( difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) != product(product(c,a),product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),product(product(c,a),bigC(a,a,b))) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)))),bind(Y,$fot(product(product(c,a),product(product(c,a),bigC(a,a,b))))),bind(Z,$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_9385,plain,
    ( product(product(c,a),product(product(c,a),bigC(a,a,b))) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)),product(product(c,a),product(product(c,a),bigC(a,a,b)))) )],[refute_0_9383,refute_0_9384]) ).

cnf(refute_0_9386,plain,
    difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),bigC(a,a,b))),product(product(c,bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_9382,refute_0_9385]) ).

cnf(refute_0_9387,plain,
    difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c)),bind(C,$fot(product(c,a))),bind(D,$fot(a))]]) ).

cnf(refute_0_9388,plain,
    ( difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)))),bind(Y,$fot(difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)))),bind(Z,$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_9389,plain,
    ( difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a))) )],[refute_0_9387,refute_0_9388]) ).

cnf(refute_0_9390,plain,
    difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) = product(product(c,bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),c),product(product(c,a),a)),product(c,a)),product(product(c,bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_9386,refute_0_9389]) ).

cnf(refute_0_9391,plain,
    ( difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),bigC(a,c,product(c,a)))
    | difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != product(product(c,bigC(a,a,c)),bigC(a,a,c))
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),bigC(a,c,product(c,a)))) ),[0],$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_9392,plain,
    ( difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),product(product(c,bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_9390,refute_0_9391]) ).

cnf(refute_0_9393,plain,
    product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(c,a)),product(c,a)),product(c,a)),product(product(c,a),bigC(a,c,product(c,a)))) )],[refute_0_9356,refute_0_9392]) ).

cnf(refute_0_9394,plain,
    product(product(bigC(c,a,c),c),a) = product(product(bigC(c,a,c),c),a),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),c),a))]]) ).

cnf(refute_0_9395,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(product(bigC(c,a,c),c),a) != product(product(bigC(c,a,c),c),a)
    | product(product(bigC(c,a,c),c),a) = product(product(bigC(a,a,b),c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),c),a),product(product(bigC(c,a,c),c),a)) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_9396,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(product(bigC(c,a,c),c),a) = product(product(bigC(a,a,b),c),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),a),product(product(bigC(c,a,c),c),a)) )],[refute_0_9394,refute_0_9395]) ).

cnf(refute_0_9397,plain,
    product(product(bigC(c,a,c),c),a) = product(product(bigC(a,a,b),c),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_2712,refute_0_9396]) ).

cnf(refute_0_9398,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),product(X_87,product(X_19,X_87))) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(product(X_19,X_87))),bind(X_36,$fot(X_87))]]) ).

cnf(refute_0_9399,plain,
    bigC(X_87,X_87,X_19) = product(X_87,product(X_19,X_87)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(X_87))]]) ).

cnf(refute_0_9400,plain,
    ( bigC(X_87,X_87,X_19) != product(X_87,product(X_19,X_87))
    | product(X_87,product(X_19,X_87)) = bigC(X_87,X_87,X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_87,X_87,X_19))),bind(Y,$fot(product(X_87,product(X_19,X_87))))]]) ).

cnf(refute_0_9401,plain,
    product(X_87,product(X_19,X_87)) = bigC(X_87,X_87,X_19),
    inference(resolve,[$cnf( $equal(bigC(X_87,X_87,X_19),product(X_87,product(X_19,X_87))) )],[refute_0_9399,refute_0_9400]) ).

cnf(refute_0_9402,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),product(X_87,product(X_19,X_87))) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(X_87,product(X_19,X_87)) != bigC(X_87,X_87,X_19)
    | bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),product(X_87,product(X_19,X_87))),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) ),[0,2],$fot(bigC(X_87,X_87,X_19))]]) ).

cnf(refute_0_9403,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),product(X_87,product(X_19,X_87))) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) ),
    inference(resolve,[$cnf( $equal(product(X_87,product(X_19,X_87)),bigC(X_87,X_87,X_19)) )],[refute_0_9401,refute_0_9402]) ).

cnf(refute_0_9404,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),product(X_87,product(X_19,X_87))),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) )],[refute_0_9398,refute_0_9403]) ).

cnf(refute_0_9405,plain,
    bigC(product(C,A),product(C,A),product(product(A,B),product(C,A))) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(product(C,A))),bind(X_36,$fot(product(A,B)))]]) ).

cnf(refute_0_9406,plain,
    ( bigC(product(C,A),product(C,A),product(product(A,B),product(C,A))) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(product(A,B),product(C,A)) != bigC(A,B,C)
    | bigC(product(C,A),product(C,A),bigC(A,B,C)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(C,A),product(C,A),product(product(A,B),product(C,A))),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) ),[0,2],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_9407,plain,
    ( bigC(product(C,A),product(C,A),product(product(A,B),product(C,A))) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | bigC(product(C,A),product(C,A),bigC(A,B,C)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_9406]) ).

cnf(refute_0_9408,plain,
    bigC(product(C,A),product(C,A),bigC(A,B,C)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(product(A,B),product(C,A))),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) )],[refute_0_9405,refute_0_9407]) ).

cnf(refute_0_9409,plain,
    bigC(product(C,A),product(C,A),bigC(A,B,C)) = product(product(C,bigC(A,B,C)),bigC(A,A,C)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(A,B,C))),bind(X_65,$fot(C)),bind(X_66,$fot(A)),bind(X_67,$fot(A))]]) ).

cnf(refute_0_9410,plain,
    ( bigC(product(C,A),product(C,A),bigC(A,B,C)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | bigC(product(C,A),product(C,A),bigC(A,B,C)) != product(product(C,bigC(A,B,C)),bigC(A,A,C))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(C,A),product(C,A),bigC(A,B,C)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) ),[0],$fot(product(product(C,bigC(A,B,C)),bigC(A,A,C)))]]) ).

cnf(refute_0_9411,plain,
    ( bigC(product(C,A),product(C,A),bigC(A,B,C)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) ),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),bigC(A,B,C)),product(product(C,bigC(A,B,C)),bigC(A,A,C))) )],[refute_0_9409,refute_0_9410]) ).

cnf(refute_0_9412,plain,
    product(product(product(C,A),bigC(A,B,C)),product(C,A)) = product(bigC(C,A,C),product(bigC(A,B,C),A)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(A)),bind(X_24,$fot(C)),bind(X_25,$fot(bigC(A,B,C))),bind(X_26,$fot(A))]]) ).

cnf(refute_0_9413,plain,
    product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),
    introduced(tautology,[refl,[$fot(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)))]]) ).

cnf(refute_0_9414,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),bigC(A,B,C))
    | product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(product(product(C,A),bigC(A,B,C)),product(C,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) ),[1,0],$fot(product(product(C,A),bigC(A,B,C)))]]) ).

cnf(refute_0_9415,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),bigC(A,B,C))
    | product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(product(product(C,A),bigC(A,B,C)),product(C,A)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) )],[refute_0_9413,refute_0_9414]) ).

cnf(refute_0_9416,plain,
    product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(product(product(C,A),bigC(A,B,C)),product(C,A)),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,A),bigC(A,B,C))) )],[refute_0_528,refute_0_9415]) ).

cnf(refute_0_9417,plain,
    ( product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) != product(product(product(C,A),bigC(A,B,C)),product(C,A))
    | product(product(product(C,A),bigC(A,B,C)),product(C,A)) != product(bigC(C,A,C),product(bigC(A,B,C),A))
    | product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(bigC(C,A,C),product(bigC(A,B,C),A)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)))),bind(Y,$fot(product(product(product(C,A),bigC(A,B,C)),product(C,A)))),bind(Z,$fot(product(bigC(C,A,C),product(bigC(A,B,C),A))))]]) ).

cnf(refute_0_9418,plain,
    ( product(product(product(C,A),bigC(A,B,C)),product(C,A)) != product(bigC(C,A,C),product(bigC(A,B,C),A))
    | product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(bigC(C,A,C),product(bigC(A,B,C),A)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),product(product(product(C,A),bigC(A,B,C)),product(C,A))) )],[refute_0_9416,refute_0_9417]) ).

cnf(refute_0_9419,plain,
    product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) = product(bigC(C,A,C),product(bigC(A,B,C),A)),
    inference(resolve,[$cnf( $equal(product(product(product(C,A),bigC(A,B,C)),product(C,A)),product(bigC(C,A,C),product(bigC(A,B,C),A))) )],[refute_0_9412,refute_0_9418]) ).

cnf(refute_0_9420,plain,
    ( product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)) != product(bigC(C,A,C),product(bigC(A,B,C),A))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(C,A,C),product(bigC(A,B,C),A)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(C,bigC(A,B,C)),bigC(A,A,C)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) ),[1],$fot(product(bigC(C,A,C),product(bigC(A,B,C),A)))]]) ).

cnf(refute_0_9421,plain,
    ( product(product(C,bigC(A,B,C)),bigC(A,A,C)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(C,A,C),product(bigC(A,B,C),A)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A)),product(bigC(C,A,C),product(bigC(A,B,C),A))) )],[refute_0_9419,refute_0_9420]) ).

cnf(refute_0_9422,plain,
    ( bigC(product(C,A),product(C,A),bigC(A,B,C)) != product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))
    | product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(C,A,C),product(bigC(A,B,C),A)) ),
    inference(resolve,[$cnf( $equal(product(product(C,bigC(A,B,C)),bigC(A,A,C)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) )],[refute_0_9411,refute_0_9421]) ).

cnf(refute_0_9423,plain,
    product(product(C,bigC(A,B,C)),bigC(A,A,C)) = product(bigC(C,A,C),product(bigC(A,B,C),A)),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),bigC(A,B,C)),product(bigC(product(C,A),product(C,A),product(A,B)),product(C,A))) )],[refute_0_9408,refute_0_9422]) ).

cnf(refute_0_9424,plain,
    product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)) = product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)),
    inference(subst,[],[refute_0_9423:[bind(A,$fot(X_87)),bind(B,$fot(X_87)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_9425,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(X_87,X_87,X_19))),bind(X_65,$fot(X_19)),bind(X_66,$fot(X_87)),bind(X_67,$fot(X_87))]]) ).

cnf(refute_0_9426,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19))
    | product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)) != product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))
    | bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)))),bind(Y,$fot(product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)))),bind(Z,$fot(product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))))]]) ).

cnf(refute_0_9427,plain,
    ( product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)) != product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))
    | bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)),product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19))) )],[refute_0_9425,refute_0_9426]) ).

cnf(refute_0_9428,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)),
    inference(resolve,[$cnf( $equal(product(product(X_19,bigC(X_87,X_87,X_19)),bigC(X_87,X_87,X_19)),product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))) )],[refute_0_9424,refute_0_9427]) ).

cnf(refute_0_9429,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))
    | bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) ),[0],$fot(product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)))]]) ).

cnf(refute_0_9430,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)),product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87))) )],[refute_0_9428,refute_0_9429]) ).

cnf(refute_0_9431,plain,
    product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(bigC(X_19,X_87,X_19))),bind(X_24,$fot(X_19)),bind(X_26,$fot(X_87))]]) ).

cnf(refute_0_9432,plain,
    bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(product(X_19,X_36),product(X_36,product(X_19,X_36))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(X_19,X_36))),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_9433,plain,
    bigC(X_36,X_36,X_19) = product(X_36,product(X_19,X_36)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(X_36))]]) ).

cnf(refute_0_9434,plain,
    ( bigC(X_36,X_36,X_19) != product(X_36,product(X_19,X_36))
    | product(X_36,product(X_19,X_36)) = bigC(X_36,X_36,X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_36,X_36,X_19))),bind(Y,$fot(product(X_36,product(X_19,X_36))))]]) ).

cnf(refute_0_9435,plain,
    product(X_36,product(X_19,X_36)) = bigC(X_36,X_36,X_19),
    inference(resolve,[$cnf( $equal(bigC(X_36,X_36,X_19),product(X_36,product(X_19,X_36))) )],[refute_0_9433,refute_0_9434]) ).

cnf(refute_0_9436,plain,
    ( bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(product(X_19,X_36),product(X_36,product(X_19,X_36)))
    | product(X_36,product(X_19,X_36)) != bigC(X_36,X_36,X_19)
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(product(X_19,X_36),product(X_36,product(X_19,X_36)))) ),[1,1],$fot(bigC(X_36,X_36,X_19))]]) ).

cnf(refute_0_9437,plain,
    ( bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(product(X_19,X_36),product(X_36,product(X_19,X_36)))
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)) ),
    inference(resolve,[$cnf( $equal(product(X_36,product(X_19,X_36)),bigC(X_36,X_36,X_19)) )],[refute_0_9435,refute_0_9436]) ).

cnf(refute_0_9438,plain,
    bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(product(X_19,X_36),product(X_36,product(X_19,X_36)))) )],[refute_0_9432,refute_0_9437]) ).

cnf(refute_0_9439,plain,
    product(X_36,X_36) = X_36,
    inference(subst,[],[refute_0_22:[bind(A,$fot(X_36))]]) ).

cnf(refute_0_9440,plain,
    product(bigC(X_19,X_36,X_19),product(X_36,X_36)) = product(bigC(X_19,X_36,X_19),product(X_36,X_36)),
    introduced(tautology,[refl,[$fot(product(bigC(X_19,X_36,X_19),product(X_36,X_36)))]]) ).

cnf(refute_0_9441,plain,
    ( product(X_36,X_36) != X_36
    | product(bigC(X_19,X_36,X_19),product(X_36,X_36)) != product(bigC(X_19,X_36,X_19),product(X_36,X_36))
    | product(bigC(X_19,X_36,X_19),product(X_36,X_36)) = product(bigC(X_19,X_36,X_19),X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(X_19,X_36,X_19),product(X_36,X_36)),product(bigC(X_19,X_36,X_19),product(X_36,X_36))) ),[1,1],$fot(X_36)]]) ).

cnf(refute_0_9442,plain,
    ( product(X_36,X_36) != X_36
    | product(bigC(X_19,X_36,X_19),product(X_36,X_36)) = product(bigC(X_19,X_36,X_19),X_36) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_19,X_36,X_19),product(X_36,X_36)),product(bigC(X_19,X_36,X_19),product(X_36,X_36))) )],[refute_0_9440,refute_0_9441]) ).

cnf(refute_0_9443,plain,
    product(bigC(X_19,X_36,X_19),product(X_36,X_36)) = product(bigC(X_19,X_36,X_19),X_36),
    inference(resolve,[$cnf( $equal(product(X_36,X_36),X_36) )],[refute_0_9439,refute_0_9442]) ).

cnf(refute_0_9444,plain,
    bigC(product(X_19,X_36),X_36,product(X_19,X_36)) = product(bigC(X_19,X_36,X_19),product(X_36,X_36)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(X_36)),bind(X_25,$fot(X_19)),bind(X_26,$fot(X_36))]]) ).

cnf(refute_0_9445,plain,
    bigC(product(X_19,X_36),product(X_19,X_36),X_36) = bigC(product(X_19,X_36),X_36,product(X_19,X_36)),
    inference(subst,[],[refute_0_3062:[bind(B,$fot(product(X_19,X_36))),bind(C,$fot(X_36)),bind(X_36,$fot(X_19))]]) ).

cnf(refute_0_9446,plain,
    ( bigC(product(X_19,X_36),X_36,product(X_19,X_36)) != product(bigC(X_19,X_36,X_19),product(X_36,X_36))
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) != bigC(product(X_19,X_36),X_36,product(X_19,X_36))
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),product(X_36,X_36)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(X_19,X_36),product(X_19,X_36),X_36))),bind(Y,$fot(bigC(product(X_19,X_36),X_36,product(X_19,X_36)))),bind(Z,$fot(product(bigC(X_19,X_36,X_19),product(X_36,X_36))))]]) ).

cnf(refute_0_9447,plain,
    ( bigC(product(X_19,X_36),X_36,product(X_19,X_36)) != product(bigC(X_19,X_36,X_19),product(X_36,X_36))
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),product(X_36,X_36)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),bigC(product(X_19,X_36),X_36,product(X_19,X_36))) )],[refute_0_9445,refute_0_9446]) ).

cnf(refute_0_9448,plain,
    bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),product(X_36,X_36)),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),X_36,product(X_19,X_36)),product(bigC(X_19,X_36,X_19),product(X_36,X_36))) )],[refute_0_9444,refute_0_9447]) ).

cnf(refute_0_9449,plain,
    ( bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(bigC(X_19,X_36,X_19),product(X_36,X_36))
    | product(bigC(X_19,X_36,X_19),product(X_36,X_36)) != product(bigC(X_19,X_36,X_19),X_36)
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),X_36) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(X_19,X_36),product(X_19,X_36),X_36))),bind(Y,$fot(product(bigC(X_19,X_36,X_19),product(X_36,X_36)))),bind(Z,$fot(product(bigC(X_19,X_36,X_19),X_36)))]]) ).

cnf(refute_0_9450,plain,
    ( product(bigC(X_19,X_36,X_19),product(X_36,X_36)) != product(bigC(X_19,X_36,X_19),X_36)
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),X_36) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(bigC(X_19,X_36,X_19),product(X_36,X_36))) )],[refute_0_9448,refute_0_9449]) ).

cnf(refute_0_9451,plain,
    bigC(product(X_19,X_36),product(X_19,X_36),X_36) = product(bigC(X_19,X_36,X_19),X_36),
    inference(resolve,[$cnf( $equal(product(bigC(X_19,X_36,X_19),product(X_36,X_36)),product(bigC(X_19,X_36,X_19),X_36)) )],[refute_0_9443,refute_0_9450]) ).

cnf(refute_0_9452,plain,
    ( bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(bigC(X_19,X_36,X_19),X_36)
    | bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(product(X_19,X_36),bigC(X_36,X_36,X_19))
    | product(bigC(X_19,X_36,X_19),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(product(X_19,X_36),bigC(X_36,X_36,X_19))) ),[0],$fot(product(bigC(X_19,X_36,X_19),X_36))]]) ).

cnf(refute_0_9453,plain,
    ( bigC(product(X_19,X_36),product(X_19,X_36),X_36) != product(product(X_19,X_36),bigC(X_36,X_36,X_19))
    | product(bigC(X_19,X_36,X_19),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(bigC(X_19,X_36,X_19),X_36)) )],[refute_0_9451,refute_0_9452]) ).

cnf(refute_0_9454,plain,
    product(bigC(X_19,X_36,X_19),X_36) = product(product(X_19,X_36),bigC(X_36,X_36,X_19)),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_36),product(X_19,X_36),X_36),product(product(X_19,X_36),bigC(X_36,X_36,X_19))) )],[refute_0_9438,refute_0_9453]) ).

cnf(refute_0_9455,plain,
    ( product(bigC(X_19,X_36,X_19),X_36) != product(product(X_19,X_36),bigC(X_36,X_36,X_19))
    | product(product(X_19,X_36),bigC(X_36,X_36,X_19)) = product(bigC(X_19,X_36,X_19),X_36) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(X_19,X_36,X_19),X_36))),bind(Y,$fot(product(product(X_19,X_36),bigC(X_36,X_36,X_19))))]]) ).

cnf(refute_0_9456,plain,
    product(product(X_19,X_36),bigC(X_36,X_36,X_19)) = product(bigC(X_19,X_36,X_19),X_36),
    inference(resolve,[$cnf( $equal(product(bigC(X_19,X_36,X_19),X_36),product(product(X_19,X_36),bigC(X_36,X_36,X_19))) )],[refute_0_9454,refute_0_9455]) ).

cnf(refute_0_9457,plain,
    product(product(X_19,X_87),bigC(X_87,X_87,X_19)) = product(bigC(X_19,X_87,X_19),X_87),
    inference(subst,[],[refute_0_9456:[bind(X_36,$fot(X_87))]]) ).

cnf(refute_0_9458,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),X_87) = product(product(X_19,X_87),bigC(X_87,X_87,X_19)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(X_87)),bind(X_65,$fot(X_19)),bind(X_66,$fot(X_87)),bind(X_67,$fot(X_87))]]) ).

cnf(refute_0_9459,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),X_87) != product(product(X_19,X_87),bigC(X_87,X_87,X_19))
    | product(product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(X_19,X_87,X_19),X_87)
    | bigC(product(X_19,X_87),product(X_19,X_87),X_87) = product(bigC(X_19,X_87,X_19),X_87) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(X_19,X_87),product(X_19,X_87),X_87))),bind(Y,$fot(product(product(X_19,X_87),bigC(X_87,X_87,X_19)))),bind(Z,$fot(product(bigC(X_19,X_87,X_19),X_87)))]]) ).

cnf(refute_0_9460,plain,
    ( product(product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(X_19,X_87,X_19),X_87)
    | bigC(product(X_19,X_87),product(X_19,X_87),X_87) = product(bigC(X_19,X_87,X_19),X_87) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(product(X_19,X_87),bigC(X_87,X_87,X_19))) )],[refute_0_9458,refute_0_9459]) ).

cnf(refute_0_9461,plain,
    bigC(product(X_19,X_87),product(X_19,X_87),X_87) = product(bigC(X_19,X_87,X_19),X_87),
    inference(resolve,[$cnf( $equal(product(product(X_19,X_87),bigC(X_87,X_87,X_19)),product(bigC(X_19,X_87,X_19),X_87)) )],[refute_0_9457,refute_0_9460]) ).

cnf(refute_0_9462,plain,
    product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),
    introduced(tautology,[refl,[$fot(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)))]]) ).

cnf(refute_0_9463,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),X_87) != product(bigC(X_19,X_87,X_19),X_87)
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) ),[1,0],$fot(product(bigC(X_19,X_87,X_19),X_87))]]) ).

cnf(refute_0_9464,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),X_87) != product(bigC(X_19,X_87,X_19),X_87)
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) )],[refute_0_9462,refute_0_9463]) ).

cnf(refute_0_9465,plain,
    product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(bigC(X_19,X_87,X_19),X_87)) )],[refute_0_9461,refute_0_9464]) ).

cnf(refute_0_9466,plain,
    ( product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) != product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87))
    | product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)) != product(product(bigC(X_19,X_87,X_19),X_19),X_87)
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)))),bind(Y,$fot(product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)))),bind(Z,$fot(product(product(bigC(X_19,X_87,X_19),X_19),X_87)))]]) ).

cnf(refute_0_9467,plain,
    ( product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)) != product(product(bigC(X_19,X_87,X_19),X_19),X_87)
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87))) )],[refute_0_9465,refute_0_9466]) ).

cnf(refute_0_9468,plain,
    product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87),
    inference(resolve,[$cnf( $equal(product(product(bigC(X_19,X_87,X_19),X_87),product(X_19,X_87)),product(product(bigC(X_19,X_87,X_19),X_19),X_87)) )],[refute_0_9431,refute_0_9467]) ).

cnf(refute_0_9469,plain,
    ( product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)) != product(product(bigC(X_19,X_87,X_19),X_19),X_87)
    | product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)),product(product(bigC(X_19,X_87,X_19),X_19),X_87)) ),[0],$fot(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)))]]) ).

cnf(refute_0_9470,plain,
    ( product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87)),product(product(bigC(X_19,X_87,X_19),X_19),X_87)) )],[refute_0_9468,refute_0_9469]) ).

cnf(refute_0_9471,plain,
    ( bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)) != product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))
    | product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) )],[refute_0_9430,refute_0_9470]) ).

cnf(refute_0_9472,plain,
    product(bigC(X_19,X_87,X_19),product(bigC(X_87,X_87,X_19),X_87)) = product(product(bigC(X_19,X_87,X_19),X_19),X_87),
    inference(resolve,[$cnf( $equal(bigC(product(X_19,X_87),product(X_19,X_87),bigC(X_87,X_87,X_19)),product(bigC(product(X_19,X_87),product(X_19,X_87),X_87),product(X_19,X_87))) )],[refute_0_9404,refute_0_9471]) ).

cnf(refute_0_9473,plain,
    product(bigC(c,a,c),product(bigC(a,a,c),a)) = product(product(bigC(c,a,c),c),a),
    inference(subst,[],[refute_0_9472:[bind(X_19,$fot(c)),bind(X_87,$fot(a))]]) ).

cnf(refute_0_9474,plain,
    product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(bigC(c,a,c),product(bigC(a,a,c),a)),
    inference(subst,[],[refute_0_9423:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_9475,plain,
    ( product(bigC(c,a,c),product(bigC(a,a,c),a)) != product(product(bigC(c,a,c),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) != product(bigC(c,a,c),product(bigC(a,a,c),a))
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(c,a,c),c),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c)))),bind(Y,$fot(product(bigC(c,a,c),product(bigC(a,a,c),a)))),bind(Z,$fot(product(product(bigC(c,a,c),c),a)))]]) ).

cnf(refute_0_9476,plain,
    ( product(bigC(c,a,c),product(bigC(a,a,c),a)) != product(product(bigC(c,a,c),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(c,a,c),c),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),bigC(a,a,c)),product(bigC(c,a,c),product(bigC(a,a,c),a))) )],[refute_0_9474,refute_0_9475]) ).

cnf(refute_0_9477,plain,
    product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(c,a,c),c),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(bigC(a,a,c),a)),product(product(bigC(c,a,c),c),a)) )],[refute_0_9473,refute_0_9476]) ).

cnf(refute_0_9478,plain,
    ( product(product(bigC(c,a,c),c),a) != product(product(bigC(a,a,b),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) != product(product(bigC(c,a,c),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(a,a,b),c),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),bigC(a,a,c)))),bind(Y,$fot(product(product(bigC(c,a,c),c),a))),bind(Z,$fot(product(product(bigC(a,a,b),c),a)))]]) ).

cnf(refute_0_9479,plain,
    ( product(product(bigC(c,a,c),c),a) != product(product(bigC(a,a,b),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(a,a,b),c),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),bigC(a,a,c)),product(product(bigC(c,a,c),c),a)) )],[refute_0_9477,refute_0_9478]) ).

cnf(refute_0_9480,plain,
    product(product(c,bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(a,a,b),c),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),a),product(product(bigC(a,a,b),c),a)) )],[refute_0_9397,refute_0_9479]) ).

cnf(refute_0_9481,plain,
    ( product(product(c,bigC(a,a,c)),bigC(a,a,c)) != product(product(bigC(a,a,b),c),a)
    | product(product(c,bigC(a,a,c)),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,c)),bigC(a,a,c)),product(product(c,a),bigC(a,c,product(c,a)))) ),[0],$fot(product(product(bigC(a,a,b),c),a))]]) ).

cnf(refute_0_9482,plain,
    ( product(product(c,bigC(a,a,c)),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),bigC(a,a,c)),product(product(bigC(a,a,b),c),a)) )],[refute_0_9480,refute_0_9481]) ).

cnf(refute_0_9483,plain,
    product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),bigC(a,a,c)),product(product(c,a),bigC(a,c,product(c,a)))) )],[refute_0_9393,refute_0_9482]) ).

cnf(refute_0_9484,plain,
    product(product(c,a),bigC(a,c,product(c,a))) = product(product(c,a),bigC(a,c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,a),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_9485,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(product(c,a),bigC(a,c,product(c,a))) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(c,a),bigC(a,c,product(c,a))) = product(product(c,a),bigC(a,a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(a,c,product(c,a))),product(product(c,a),bigC(a,c,product(c,a)))) ),[1,1],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_9486,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(product(c,a),bigC(a,c,product(c,a))) = product(product(c,a),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,c,product(c,a))),product(product(c,a),bigC(a,c,product(c,a)))) )],[refute_0_9484,refute_0_9485]) ).

cnf(refute_0_9487,plain,
    product(product(c,a),bigC(a,c,product(c,a))) = product(product(c,a),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_9486]) ).

cnf(refute_0_9488,plain,
    ( product(product(bigC(a,a,b),c),a) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(c,a),bigC(a,c,product(c,a))) != product(product(c,a),bigC(a,a,product(b,c)))
    | product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),c),a),product(product(c,a),bigC(a,a,product(b,c)))) ),[0],$fot(product(product(c,a),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_9489,plain,
    ( product(product(bigC(a,a,b),c),a) != product(product(c,a),bigC(a,c,product(c,a)))
    | product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,c,product(c,a))),product(product(c,a),bigC(a,a,product(b,c)))) )],[refute_0_9487,refute_0_9488]) ).

cnf(refute_0_9490,plain,
    product(product(bigC(a,a,b),c),a) = product(product(c,a),bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),a),product(product(c,a),bigC(a,c,product(c,a)))) )],[refute_0_9483,refute_0_9489]) ).

cnf(refute_0_9491,plain,
    ( product(product(bigC(a,a,b),c),a) != product(product(c,a),bigC(a,a,product(b,c)))
    | product(product(c,a),bigC(a,a,product(b,c))) = product(product(bigC(a,a,b),c),a) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(bigC(a,a,b),c),a))),bind(Y,$fot(product(product(c,a),bigC(a,a,product(b,c)))))]]) ).

cnf(refute_0_9492,plain,
    product(product(c,a),bigC(a,a,product(b,c))) = product(product(bigC(a,a,b),c),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),a),product(product(c,a),bigC(a,a,product(b,c)))) )],[refute_0_9490,refute_0_9491]) ).

cnf(refute_0_9493,plain,
    ( product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),bigC(a,a,product(b,c)))))) != product(c,a)
    | product(product(c,a),bigC(a,a,product(b,c))) != product(product(bigC(a,a,b),c),a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),bigC(a,a,product(b,c)))))),product(c,a)) ),[0,1,1,1],$fot(product(product(bigC(a,a,b),c),a))]]) ).

cnf(refute_0_9494,plain,
    ( product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),bigC(a,a,product(b,c)))))) != product(c,a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,product(b,c))),product(product(bigC(a,a,b),c),a)) )],[refute_0_9492,refute_0_9493]) ).

cnf(refute_0_9495,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(c,a),bigC(a,a,product(b,c)))))),product(c,a)) )],[refute_0_9350,refute_0_9494]) ).

cnf(refute_0_9496,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),c) = bigC(bigC(a,a,b),c,bigC(b,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c)),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_9497,plain,
    product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(a,b,product(a,b)))),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9498,plain,
    product(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,b,product(b,a))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b)))),bind(B,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_9499,plain,
    quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))) = bigC(a,a,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(bigC(a,a,b))),bind(X_8,$fot(product(bigC(product(a,b),c,c),bigC(a,a,b))))]]) ).

cnf(refute_0_9500,plain,
    difference(product(bigC(a,a,b),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_71:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(bigC(a,a,b))),bind(X_19,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9501,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_50:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9502,plain,
    bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,b,c),product(product(c,a),b)),
    inference(subst,[],[refute_0_5074:[bind(X_46,$fot(product(c,a)))]]) ).

cnf(refute_0_9503,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,b,c),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,b,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,b,c),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9504,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,b,c),product(product(c,a),b))
    | bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_9503]) ).

cnf(refute_0_9505,plain,
    bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,b,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,b,c),product(product(c,a),b))) )],[refute_0_9502,refute_0_9504]) ).

cnf(refute_0_9506,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_9507,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_9508,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_9506,refute_0_9507]) ).

cnf(refute_0_9509,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_1037,refute_0_9508]) ).

cnf(refute_0_9510,plain,
    bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,a,b),product(product(c,b),c)),
    inference(subst,[],[refute_0_9184:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_9511,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,a,b),product(product(c,b),c))
    | product(bigC(a,a,b),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(c,a),product(c,b)))),bind(Y,$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_9512,plain,
    ( product(bigC(a,a,b),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | bigC(product(a,b),product(c,a),product(c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,a,b),product(product(c,b),c))) )],[refute_0_9510,refute_0_9511]) ).

cnf(refute_0_9513,plain,
    bigC(product(a,b),product(c,a),product(c,b)) = 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_9509,refute_0_9512]) ).

cnf(refute_0_9514,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,a,b),bigC(c,b,c))
    | bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,b,c),product(c,product(c,b)))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,b,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,b,c),product(c,product(c,b)))) ),[0],$fot(product(bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_9515,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,b,c),product(c,product(c,b)))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_9513,refute_0_9514]) ).

cnf(refute_0_9516,plain,
    bigC(product(a,b),c,product(c,c)) = bigC(product(a,b),c,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),c,product(c,c)))]]) ).

cnf(refute_0_9517,plain,
    ( bigC(product(a,b),c,product(c,c)) != bigC(product(a,b),c,product(c,c))
    | product(c,c) != c
    | bigC(product(a,b),c,product(c,c)) = bigC(product(a,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),c,product(c,c)),bigC(product(a,b),c,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_9518,plain,
    ( product(c,c) != c
    | bigC(product(a,b),c,product(c,c)) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,c)),bigC(product(a,b),c,product(c,c))) )],[refute_0_9516,refute_0_9517]) ).

cnf(refute_0_9519,plain,
    bigC(product(a,b),c,product(c,c)) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_9518]) ).

cnf(refute_0_9520,plain,
    product(bigC(a,b,c),product(c,product(c,b))) = bigC(product(a,b),c,product(c,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(c)),bind(X_23,$fot(c)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_9521,plain,
    ( bigC(product(a,b),c,product(c,c)) != bigC(product(a,b),c,c)
    | product(bigC(a,b,c),product(c,product(c,b))) != bigC(product(a,b),c,product(c,c))
    | product(bigC(a,b,c),product(c,product(c,b))) = bigC(product(a,b),c,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,c),product(c,product(c,b))))),bind(Y,$fot(bigC(product(a,b),c,product(c,c)))),bind(Z,$fot(bigC(product(a,b),c,c)))]]) ).

cnf(refute_0_9522,plain,
    ( bigC(product(a,b),c,product(c,c)) != bigC(product(a,b),c,c)
    | product(bigC(a,b,c),product(c,product(c,b))) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,product(c,b))),bigC(product(a,b),c,product(c,c))) )],[refute_0_9520,refute_0_9521]) ).

cnf(refute_0_9523,plain,
    product(bigC(a,b,c),product(c,product(c,b))) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,c)),bigC(product(a,b),c,c)) )],[refute_0_9519,refute_0_9522]) ).

cnf(refute_0_9524,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,b,c),product(c,product(c,b)))
    | product(bigC(a,b,c),product(c,product(c,b))) != bigC(product(a,b),c,c)
    | product(bigC(a,a,b),bigC(c,b,c)) = bigC(product(a,b),c,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),bigC(c,b,c)),bigC(product(a,b),c,c)) ),[0],$fot(product(bigC(a,b,c),product(c,product(c,b))))]]) ).

cnf(refute_0_9525,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,b,c),product(c,product(c,b)))
    | product(bigC(a,a,b),bigC(c,b,c)) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,product(c,b))),bigC(product(a,b),c,c)) )],[refute_0_9523,refute_0_9524]) ).

cnf(refute_0_9526,plain,
    ( bigC(product(a,b),product(c,a),product(c,b)) != product(bigC(a,b,c),product(c,product(c,b)))
    | product(bigC(a,a,b),bigC(c,b,c)) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,b,c),product(c,product(c,b)))) )],[refute_0_9515,refute_0_9525]) ).

cnf(refute_0_9527,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),product(c,b)),product(bigC(a,b,c),product(c,product(c,b)))) )],[refute_0_9505,refute_0_9526]) ).

cnf(refute_0_9528,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)) != bigC(product(a,b),c,c)
    | bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(bigC(product(a,b),c,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(bigC(product(a,b),c,c))]]) ).

cnf(refute_0_9529,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(bigC(product(a,b),c,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),bigC(product(a,b),c,c)) )],[refute_0_9527,refute_0_9528]) ).

cnf(refute_0_9530,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(bigC(product(a,b),c,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_9501,refute_0_9529]) ).

cnf(refute_0_9531,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_123:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9532,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(bigC(product(a,b),c,c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(bigC(product(a,b),c,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_9533,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(bigC(product(a,b),c,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_9531,refute_0_9532]) ).

cnf(refute_0_9534,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(bigC(product(a,b),c,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) )],[refute_0_9530,refute_0_9533]) ).

cnf(refute_0_9535,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | difference(product(bigC(a,a,b),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(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))),product(bigC(c,b,c),bigC(a,a,b))) ),[0,1],$fot(product(bigC(product(a,b),c,c),bigC(a,a,b)))]]) ).

cnf(refute_0_9536,plain,
    ( difference(product(bigC(a,a,b),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(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,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(bigC(product(a,b),c,c),bigC(a,a,b))) )],[refute_0_9534,refute_0_9535]) ).

cnf(refute_0_9537,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),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_9500,refute_0_9536]) ).

cnf(refute_0_9538,plain,
    product(bigC(a,a,b),bigC(a,a,b)) = bigC(a,a,b),
    inference(subst,[],[refute_0_22:[bind(A,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9539,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))))]]) ).

cnf(refute_0_9540,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) != difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b)))
    | product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9541,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b)))) )],[refute_0_9539,refute_0_9540]) ).

cnf(refute_0_9542,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) = difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_9538,refute_0_9541]) ).

cnf(refute_0_9543,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) != difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) ),[0],$fot(difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))))]]) ).

cnf(refute_0_9544,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))) )],[refute_0_9542,refute_0_9543]) ).

cnf(refute_0_9545,plain,
    difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_9537,refute_0_9544]) ).

cnf(refute_0_9546,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_9547,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_9548,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_9546,refute_0_9547]) ).

cnf(refute_0_9549,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_1370,refute_0_9548]) ).

cnf(refute_0_9550,plain,
    ( difference(bigC(a,a,b),product(bigC(product(a,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(bigC(b,a,b),bigC(a,a,b))
    | difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(b,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))),product(bigC(b,a,b),bigC(a,a,b))) ),[0],$fot(product(bigC(c,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_9551,plain,
    ( difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(bigC(product(a,b),c,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(b,a,b),bigC(a,a,b))) )],[refute_0_9549,refute_0_9550]) ).

cnf(refute_0_9552,plain,
    difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_9545,refute_0_9551]) ).

cnf(refute_0_9553,plain,
    ( difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))) != product(bigC(b,a,b),bigC(a,a,b))
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))) != bigC(a,a,b)
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))),bigC(a,a,b)) ),[0,1],$fot(product(bigC(b,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_9554,plain,
    ( quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))) != bigC(a,a,b)
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b))),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_9552,refute_0_9553]) ).

cnf(refute_0_9555,plain,
    quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),difference(bigC(a,a,b),product(bigC(product(a,b),c,c),bigC(a,a,b)))),bigC(a,a,b)) )],[refute_0_9499,refute_0_9554]) ).

cnf(refute_0_9556,plain,
    bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(product(product(a,b),c),product(bigC(a,a,b),product(product(a,b),c))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(product(a,b),c))),bind(X_19,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9557,plain,
    product(bigC(a,a,b),product(difference(product(a,b),product(a,b)),c)) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_2565:[bind(X_47,$fot(product(a,b)))]]) ).

cnf(refute_0_9558,plain,
    difference(product(a,b),product(a,b)) = product(a,b),
    inference(subst,[],[refute_0_1928:[bind(X_2,$fot(product(a,b)))]]) ).

cnf(refute_0_9559,plain,
    ( difference(product(a,b),product(a,b)) != product(a,b)
    | product(bigC(a,a,b),product(difference(product(a,b),product(a,b)),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,b),product(product(a,b),c)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(a,b)),c)),product(product(a,b),product(a,c))) ),[0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_9560,plain,
    ( product(bigC(a,a,b),product(difference(product(a,b),product(a,b)),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,b),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_9558,refute_0_9559]) ).

cnf(refute_0_9561,plain,
    product(bigC(a,a,b),product(product(a,b),c)) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(a,b)),c)),product(product(a,b),product(a,c))) )],[refute_0_9557,refute_0_9560]) ).

cnf(refute_0_9562,plain,
    ( product(bigC(a,a,b),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,a,b),product(product(a,b),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(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_9563,plain,
    ( product(bigC(a,a,b),product(product(a,b),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,b),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_513,refute_0_9562]) ).

cnf(refute_0_9564,plain,
    product(bigC(a,a,b),product(product(a,b),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),product(product(a,b),product(a,c))) )],[refute_0_9561,refute_0_9563]) ).

cnf(refute_0_9565,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(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))
    | bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(product(product(a,b),c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(product(product(a,b),c),product(bigC(a,a,b),product(product(a,b),c)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9566,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(product(product(a,b),c),product(bigC(a,a,b),product(product(a,b),c)))
    | bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(product(product(a,b),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_9564,refute_0_9565]) ).

cnf(refute_0_9567,plain,
    bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(product(product(a,b),c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(product(product(a,b),c),product(bigC(a,a,b),product(product(a,b),c)))) )],[refute_0_9556,refute_0_9566]) ).

cnf(refute_0_9568,plain,
    product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) = product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_9569,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) != product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b)))
    | product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))),product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b)))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_9570,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))),product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b)))) )],[refute_0_9568,refute_0_9569]) ).

cnf(refute_0_9571,plain,
    product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,b)),bigC(a,b,product(a,b))) )],[refute_0_6584,refute_0_9570]) ).

cnf(refute_0_9572,plain,
    bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))),
    inference(subst,[],[refute_0_551:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_9573,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b)))
    | product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))
    | bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)))),bind(Y,$fot(product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))))),bind(Z,$fot(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))))]]) ).

cnf(refute_0_9574,plain,
    ( product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))
    | bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b)))) )],[refute_0_9572,refute_0_9573]) ).

cnf(refute_0_9575,plain,
    bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,a,b)),bigC(c,c,product(a,b))),product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))) )],[refute_0_9571,refute_0_9574]) ).

cnf(refute_0_9576,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))
    | bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(product(product(a,b),c),product(a,product(b,c)))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(product(product(a,b),c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(product(product(a,b),c),product(a,product(b,c)))) ),[0],$fot(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_9577,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(product(product(a,b),c),product(a,product(b,c)))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(product(product(a,b),c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))) )],[refute_0_9575,refute_0_9576]) ).

cnf(refute_0_9578,plain,
    product(bigC(a,a,b),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(c,c,b)))]]) ).

cnf(refute_0_9579,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,a,b),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,c,b))
    | product(bigC(a,a,b),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(c,c,b)),product(bigC(a,a,b),bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_9580,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,a,b),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,c,b)),product(bigC(a,a,b),bigC(c,c,b))) )],[refute_0_9578,refute_0_9579]) ).

cnf(refute_0_9581,plain,
    product(bigC(a,a,b),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_647,refute_0_9580]) ).

cnf(refute_0_9582,plain,
    product(product(product(a,b),a),bigC(c,c,b)) = product(product(product(a,b),a),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),bigC(c,c,b)))]]) ).

cnf(refute_0_9583,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),bigC(c,c,b)) != product(product(product(a,b),a),bigC(c,c,b))
    | product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),bigC(c,c,b)),product(product(product(a,b),a),bigC(c,c,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9584,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),bigC(c,c,b)),product(product(product(a,b),a),bigC(c,c,b))) )],[refute_0_9582,refute_0_9583]) ).

cnf(refute_0_9585,plain,
    product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_6966,refute_0_9584]) ).

cnf(refute_0_9586,plain,
    ( product(bigC(a,a,b),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(product(a,b),a),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,c,b))
    | product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),a),bigC(c,c,b)))),bind(Y,$fot(product(bigC(a,a,b),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,a,b),bigC(c,b,c))))]]) ).

cnf(refute_0_9587,plain,
    ( product(bigC(a,a,b),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),bigC(c,c,b)),product(bigC(a,a,b),bigC(c,c,b))) )],[refute_0_9585,refute_0_9586]) ).

cnf(refute_0_9588,plain,
    product(product(product(a,b),a),bigC(c,c,b)) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,c,b)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_9581,refute_0_9587]) ).

cnf(refute_0_9589,plain,
    product(product(product(a,b),c),product(a,product(b,c))) = product(product(product(a,b),a),bigC(c,c,b)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(a,b))),bind(B,$fot(c)),bind(C,$fot(a)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_9590,plain,
    ( product(product(product(a,b),a),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(product(a,b),c),product(a,product(b,c))) != product(product(product(a,b),a),bigC(c,c,b))
    | product(product(product(a,b),c),product(a,product(b,c))) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),c),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,b),a),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,a,b),bigC(c,b,c))))]]) ).

cnf(refute_0_9591,plain,
    ( product(product(product(a,b),a),bigC(c,c,b)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(product(a,b),c),product(a,product(b,c))) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(a,product(b,c))),product(product(product(a,b),a),bigC(c,c,b))) )],[refute_0_9589,refute_0_9590]) ).

cnf(refute_0_9592,plain,
    product(product(product(a,b),c),product(a,product(b,c))) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),bigC(c,c,b)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_9588,refute_0_9591]) ).

cnf(refute_0_9593,plain,
    ( product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(product(product(a,b),c),product(a,product(b,c)))
    | product(product(product(a,b),c),product(a,product(b,c))) != product(bigC(a,a,b),bigC(c,b,c))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,a,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,a,b),bigC(c,b,c))) ),[0],$fot(product(product(product(a,b),c),product(a,product(b,c))))]]) ).

cnf(refute_0_9594,plain,
    ( product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(product(product(a,b),c),product(a,product(b,c)))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(a,product(b,c))),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_9592,refute_0_9593]) ).

cnf(refute_0_9595,plain,
    ( bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)) != product(product(product(a,b),c),product(a,product(b,c)))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(product(product(a,b),c),product(a,product(b,c)))) )],[refute_0_9577,refute_0_9594]) ).

cnf(refute_0_9596,plain,
    product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),product(product(a,b),c),bigC(a,a,b)),product(product(product(a,b),c),product(a,product(b,c)))) )],[refute_0_9567,refute_0_9595]) ).

cnf(refute_0_9597,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != bigC(product(a,b),c,c)
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(bigC(a,a,b),bigC(c,b,c))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = bigC(product(a,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,a,b),bigC(c,b,c))) ),[1],$fot(bigC(product(a,b),c,c))]]) ).

cnf(refute_0_9598,plain,
    ( product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(bigC(a,a,b),bigC(c,b,c))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),bigC(product(a,b),c,c)) )],[refute_0_9527,refute_0_9597]) ).

cnf(refute_0_9599,plain,
    product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_9596,refute_0_9598]) ).

cnf(refute_0_9600,plain,
    product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_9601,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_9602,plain,
    ( bigC(c,c,product(a,b)) != bigC(b,a,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b)))) )],[refute_0_9600,refute_0_9601]) ).

cnf(refute_0_9603,plain,
    product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(b,a,product(a,b))) )],[refute_0_1514,refute_0_9602]) ).

cnf(refute_0_9604,plain,
    ( product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != bigC(product(a,b),c,c)
    | product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b)))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(product(a,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),bigC(product(a,b),c,c)) ),[0],$fot(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_9605,plain,
    ( product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))) != bigC(product(a,b),c,c)
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b)))) )],[refute_0_9603,refute_0_9604]) ).

cnf(refute_0_9606,plain,
    product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(c,c,product(a,b))),bigC(product(a,b),c,c)) )],[refute_0_9599,refute_0_9605]) ).

cnf(refute_0_9607,plain,
    product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))) = bigC(a,b,product(a,b)),
    inference(subst,[],[refute_0_22:[bind(A,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_9608,plain,
    product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_9609,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b)))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_9610,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b)))) )],[refute_0_9608,refute_0_9609]) ).

cnf(refute_0_9611,plain,
    product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_9610]) ).

cnf(refute_0_9612,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))) != bigC(a,b,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) != product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b)))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_9613,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))) != bigC(a,b,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b)))) )],[refute_0_9611,refute_0_9612]) ).

cnf(refute_0_9614,plain,
    product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,b,product(a,b))),bigC(a,b,product(a,b))) )],[refute_0_9607,refute_0_9613]) ).

cnf(refute_0_9615,plain,
    ( product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) != bigC(a,b,product(a,b))
    | product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) != bigC(product(a,b),c,c)
    | bigC(a,b,product(a,b)) = bigC(product(a,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),bigC(product(a,b),c,c)) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_9616,plain,
    ( product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))) != bigC(product(a,b),c,c)
    | bigC(a,b,product(a,b)) = bigC(product(a,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),bigC(a,b,product(a,b))) )],[refute_0_9614,refute_0_9615]) ).

cnf(refute_0_9617,plain,
    bigC(a,b,product(a,b)) = bigC(product(a,b),c,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,a,product(a,b))),bigC(product(a,b),c,c)) )],[refute_0_9606,refute_0_9616]) ).

cnf(refute_0_9618,plain,
    ( bigC(a,b,product(a,b)) != bigC(product(a,b),c,c)
    | bigC(product(a,b),c,c) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(bigC(product(a,b),c,c)))]]) ).

cnf(refute_0_9619,plain,
    bigC(product(a,b),c,c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),bigC(product(a,b),c,c)) )],[refute_0_9617,refute_0_9618]) ).

cnf(refute_0_9620,plain,
    product(bigC(product(a,b),c,c),bigC(a,a,b)) = product(bigC(product(a,b),c,c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,b),c,c),bigC(a,a,b)))]]) ).

cnf(refute_0_9621,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(bigC(product(a,b),c,c),bigC(a,a,b)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | product(bigC(product(a,b),c,c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_9622,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(bigC(product(a,b),c,c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) )],[refute_0_9620,refute_0_9621]) ).

cnf(refute_0_9623,plain,
    product(bigC(product(a,b),c,c),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,c),bigC(a,b,product(a,b))) )],[refute_0_9619,refute_0_9622]) ).

cnf(refute_0_9624,plain,
    quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9625,plain,
    ( product(bigC(product(a,b),c,c),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))) ),[1,0],$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_9626,plain,
    ( product(bigC(product(a,b),c,c),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))) )],[refute_0_9624,refute_0_9625]) ).

cnf(refute_0_9627,plain,
    quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_9623,refute_0_9626]) ).

cnf(refute_0_9628,plain,
    ( quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != bigC(a,a,b)
    | quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),bigC(a,a,b)) ),[0],$fot(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9629,plain,
    ( quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != bigC(a,a,b)
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))) )],[refute_0_9627,refute_0_9628]) ).

cnf(refute_0_9630,plain,
    quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_9555,refute_0_9629]) ).

cnf(refute_0_9631,plain,
    ( product(c,product(c,product(c,a))) != bigC(c,c,product(b,a))
    | product(c,product(c,product(c,a))) != product(product(b,product(a,c)),c)
    | bigC(c,c,product(b,a)) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),product(product(b,product(a,c)),c)) ),[0],$fot(bigC(c,c,product(b,a)))]]) ).

cnf(refute_0_9632,plain,
    ( product(c,product(c,product(c,a))) != product(product(b,product(a,c)),c)
    | bigC(c,c,product(b,a)) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(c,c,product(b,a))) )],[refute_0_3625,refute_0_9631]) ).

cnf(refute_0_9633,plain,
    bigC(c,c,product(b,a)) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(product(b,product(a,c)),c)) )],[refute_0_3552,refute_0_9632]) ).

cnf(refute_0_9634,plain,
    ( bigC(c,c,product(b,a)) != bigC(a,b,product(b,a))
    | bigC(c,c,product(b,a)) != product(product(b,product(a,c)),c)
    | bigC(a,b,product(b,a)) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,a)),product(product(b,product(a,c)),c)) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_9635,plain,
    ( bigC(c,c,product(b,a)) != product(product(b,product(a,c)),c)
    | bigC(a,b,product(b,a)) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_3694,refute_0_9634]) ).

cnf(refute_0_9636,plain,
    bigC(a,b,product(b,a)) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),product(product(b,product(a,c)),c)) )],[refute_0_9633,refute_0_9635]) ).

cnf(refute_0_9637,plain,
    ( bigC(a,b,product(b,a)) != product(product(b,product(a,c)),c)
    | product(product(b,product(a,c)),c) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(product(b,product(a,c)),c)))]]) ).

cnf(refute_0_9638,plain,
    product(product(b,product(a,c)),c) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(product(b,product(a,c)),c)) )],[refute_0_9636,refute_0_9637]) ).

cnf(refute_0_9639,plain,
    product(product(product(b,X_18),product(b,c)),c) = product(product(product(b,X_18),b),bigC(a,a,b)),
    inference(subst,[],[refute_0_9134:[bind(X_96,$fot(product(b,X_18)))]]) ).

cnf(refute_0_9640,plain,
    ( product(product(b,X_18),b) != bigC(b,X_18,b)
    | product(product(product(b,X_18),product(b,c)),c) != product(product(product(b,X_18),b),bigC(a,a,b))
    | product(product(product(b,X_18),product(b,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(product(product(b,X_18),b),bigC(a,a,b))) ),[1,0],$fot(bigC(b,X_18,b))]]) ).

cnf(refute_0_9641,plain,
    ( product(product(product(b,X_18),product(b,c)),c) != product(product(product(b,X_18),b),bigC(a,a,b))
    | product(product(product(b,X_18),product(b,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),b),bigC(b,X_18,b)) )],[refute_0_9018,refute_0_9640]) ).

cnf(refute_0_9642,plain,
    product(product(product(b,X_18),product(b,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(product(product(b,X_18),b),bigC(a,a,b))) )],[refute_0_9639,refute_0_9641]) ).

cnf(refute_0_9643,plain,
    product(product(b,X_18),product(b,c)) = product(b,product(X_18,c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(X_18)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_9644,plain,
    product(product(product(b,X_18),product(b,c)),c) = product(product(product(b,X_18),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,X_18),product(b,c)),c))]]) ).

cnf(refute_0_9645,plain,
    ( product(product(b,X_18),product(b,c)) != product(b,product(X_18,c))
    | product(product(product(b,X_18),product(b,c)),c) != product(product(product(b,X_18),product(b,c)),c)
    | product(product(product(b,X_18),product(b,c)),c) = product(product(b,product(X_18,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(product(product(b,X_18),product(b,c)),c)) ),[1,0],$fot(product(b,product(X_18,c)))]]) ).

cnf(refute_0_9646,plain,
    ( product(product(b,X_18),product(b,c)) != product(b,product(X_18,c))
    | product(product(product(b,X_18),product(b,c)),c) = product(product(b,product(X_18,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(product(product(b,X_18),product(b,c)),c)) )],[refute_0_9644,refute_0_9645]) ).

cnf(refute_0_9647,plain,
    product(product(product(b,X_18),product(b,c)),c) = product(product(b,product(X_18,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),product(b,c)),product(b,product(X_18,c))) )],[refute_0_9643,refute_0_9646]) ).

cnf(refute_0_9648,plain,
    ( product(product(product(b,X_18),product(b,c)),c) != product(bigC(b,X_18,b),bigC(a,a,b))
    | product(product(product(b,X_18),product(b,c)),c) != product(product(b,product(X_18,c)),c)
    | product(product(b,product(X_18,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(bigC(b,X_18,b),bigC(a,a,b))) ),[0],$fot(product(product(b,product(X_18,c)),c))]]) ).

cnf(refute_0_9649,plain,
    ( product(product(product(b,X_18),product(b,c)),c) != product(bigC(b,X_18,b),bigC(a,a,b))
    | product(product(b,product(X_18,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(product(b,product(X_18,c)),c)) )],[refute_0_9647,refute_0_9648]) ).

cnf(refute_0_9650,plain,
    product(product(b,product(X_18,c)),c) = product(bigC(b,X_18,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(b,X_18),product(b,c)),c),product(bigC(b,X_18,b),bigC(a,a,b))) )],[refute_0_9642,refute_0_9649]) ).

cnf(refute_0_9651,plain,
    ( product(product(b,product(X_18,c)),c) != product(bigC(b,X_18,b),bigC(a,a,b))
    | product(bigC(b,X_18,b),bigC(a,a,b)) = product(product(b,product(X_18,c)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,product(X_18,c)),c))),bind(Y,$fot(product(bigC(b,X_18,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9652,plain,
    product(bigC(b,X_18,b),bigC(a,a,b)) = product(product(b,product(X_18,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(X_18,c)),c),product(bigC(b,X_18,b),bigC(a,a,b))) )],[refute_0_9650,refute_0_9651]) ).

cnf(refute_0_9653,plain,
    product(bigC(b,a,b),bigC(a,a,b)) = product(product(b,product(a,c)),c),
    inference(subst,[],[refute_0_9652:[bind(X_18,$fot(a))]]) ).

cnf(refute_0_9654,plain,
    ( product(bigC(b,a,b),bigC(a,a,b)) != product(product(b,product(a,c)),c)
    | product(product(b,product(a,c)),c) != bigC(a,b,product(b,a))
    | product(bigC(b,a,b),bigC(a,a,b)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),bigC(a,a,b)))),bind(Y,$fot(product(product(b,product(a,c)),c))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_9655,plain,
    ( product(product(b,product(a,c)),c) != bigC(a,b,product(b,a))
    | product(bigC(b,a,b),bigC(a,a,b)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(product(b,product(a,c)),c)) )],[refute_0_9653,refute_0_9654]) ).

cnf(refute_0_9656,plain,
    product(bigC(b,a,b),bigC(a,a,b)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),bigC(a,b,product(b,a))) )],[refute_0_9638,refute_0_9655]) ).

cnf(refute_0_9657,plain,
    quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9658,plain,
    ( product(bigC(b,a,b),bigC(a,a,b)) != bigC(a,b,product(b,a))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_9659,plain,
    ( product(bigC(b,a,b),bigC(a,a,b)) != bigC(a,b,product(b,a))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b)))) )],[refute_0_9657,refute_0_9658]) ).

cnf(refute_0_9660,plain,
    quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) = quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,b,product(b,a))) )],[refute_0_9656,refute_0_9659]) ).

cnf(refute_0_9661,plain,
    ( quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != bigC(a,a,b)
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a)))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),bigC(a,a,b)) ),[0],$fot(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_9662,plain,
    ( quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) != bigC(a,a,b)
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a)))) )],[refute_0_9660,refute_0_9661]) ).

cnf(refute_0_9663,plain,
    quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_9630,refute_0_9662]) ).

cnf(refute_0_9664,plain,
    ( product(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,b,product(b,a))) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))) != bigC(a,a,b)
    | product(bigC(a,a,b),bigC(a,b,product(b,a))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,b,product(b,a))),product(bigC(a,b,product(a,b)),bigC(a,a,b))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9665,plain,
    ( product(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,b,product(b,a))) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(a,a,b),bigC(a,b,product(b,a))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,a,b)) )],[refute_0_9663,refute_0_9664]) ).

cnf(refute_0_9666,plain,
    product(bigC(a,a,b),bigC(a,b,product(b,a))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(a,b,product(b,a))),bigC(a,b,product(b,a))),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_9498,refute_0_9665]) ).

cnf(refute_0_9667,plain,
    ( product(bigC(a,a,b),bigC(a,b,product(b,a))) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(a,b,product(a,b)),bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,b),bigC(a,b,product(b,a))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_9668,plain,
    product(bigC(a,b,product(a,b)),bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,product(b,a))),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_9666,refute_0_9667]) ).

cnf(refute_0_9669,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,a,b)) != product(bigC(a,a,b),bigC(a,b,product(b,a)))
    | product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),bigC(a,a,b)))
    | product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),bigC(a,a,b)))) ),[1,1],$fot(product(bigC(a,a,b),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_9670,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),bigC(a,a,b)))
    | product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) )],[refute_0_9668,refute_0_9669]) ).

cnf(refute_0_9671,plain,
    product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),bigC(a,a,b)))) )],[refute_0_9497,refute_0_9670]) ).

cnf(refute_0_9672,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,[],[refute_0_1:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9673,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)) != bigC(product(a,b),c,c)
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))) ),[1,0],$fot(bigC(product(a,b),c,c))]]) ).

cnf(refute_0_9674,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(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),bigC(product(a,b),c,c)) )],[refute_0_9527,refute_0_9673]) ).

cnf(refute_0_9675,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = product(bigC(product(a,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(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))) )],[refute_0_9672,refute_0_9674]) ).

cnf(refute_0_9676,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = bigC(bigC(a,a,b),bigC(c,b,c),C),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(c,b,c),C))]]) ).

cnf(refute_0_9677,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != bigC(bigC(a,a,b),bigC(c,b,c),C)
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = bigC(bigC(a,a,b),bigC(b,a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),bigC(bigC(a,a,b),bigC(c,b,c),C)) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9678,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = bigC(bigC(a,a,b),bigC(b,a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),bigC(bigC(a,a,b),bigC(c,b,c),C)) )],[refute_0_9676,refute_0_9677]) ).

cnf(refute_0_9679,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = bigC(bigC(a,a,b),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_9678]) ).

cnf(refute_0_9680,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != bigC(bigC(a,a,b),bigC(b,a,b),C)
    | bigC(bigC(a,a,b),bigC(c,b,c),C) != product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),bigC(b,a,b),C))]]) ).

cnf(refute_0_9681,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),bigC(bigC(a,a,b),bigC(b,a,b),C)) )],[refute_0_9679,refute_0_9680]) ).

cnf(refute_0_9682,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))) )],[refute_0_9675,refute_0_9681]) ).

cnf(refute_0_9683,plain,
    product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) = product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_9684,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) != product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))
    | product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))),product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_9685,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))),product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))) )],[refute_0_9683,refute_0_9684]) ).

cnf(refute_0_9686,plain,
    product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,c),bigC(a,b,product(a,b))) )],[refute_0_9619,refute_0_9685]) ).

cnf(refute_0_9687,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),C) != product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))
    | product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))) != product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(b,a,b),C),product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))) ),[0],$fot(product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_9688,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),C) != product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),c,c),product(C,bigC(a,a,b))),product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))) )],[refute_0_9686,refute_0_9687]) ).

cnf(refute_0_9689,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),C) = product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),C),product(bigC(product(a,b),c,c),product(C,bigC(a,a,b)))) )],[refute_0_9682,refute_0_9688]) ).

cnf(refute_0_9690,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),C) != product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))
    | product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(bigC(a,a,b),bigC(b,a,b),C))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))))]]) ).

cnf(refute_0_9691,plain,
    product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),C),product(bigC(a,b,product(a,b)),product(C,bigC(a,a,b)))) )],[refute_0_9689,refute_0_9690]) ).

cnf(refute_0_9692,plain,
    product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),X_25),
    inference(subst,[],[refute_0_9691:[bind(C,$fot(X_25))]]) ).

cnf(refute_0_9693,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(b,a,b),X_25)
    | product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))
    | bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))) ),[0],$fot(bigC(bigC(a,a,b),bigC(b,a,b),X_25))]]) ).

cnf(refute_0_9694,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))
    | bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))),bigC(bigC(a,a,b),bigC(b,a,b),X_25)) )],[refute_0_9692,refute_0_9693]) ).

cnf(refute_0_9695,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,bigC(a,a,b))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))) )],[refute_0_9671,refute_0_9694]) ).

cnf(refute_0_9696,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_9697,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_9698,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_9696,refute_0_9697]) ).

cnf(refute_0_9699,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_1370,refute_0_9698]) ).

cnf(refute_0_9700,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(bigC(product(a,b),c,c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(product(a,b),c,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(bigC(product(a,b),c,c),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_9701,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(product(a,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_9699,refute_0_9700]) ).

cnf(refute_0_9702,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(product(a,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(bigC(product(a,b),c,c),bigC(a,a,b))) )],[refute_0_9534,refute_0_9701]) ).

cnf(refute_0_9703,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | product(bigC(product(a,b),c,c),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) ),[0],$fot(product(bigC(product(a,b),c,c),bigC(a,a,b)))]]) ).

cnf(refute_0_9704,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(product(a,b),c,c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),c,c),bigC(a,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_9623,refute_0_9703]) ).

cnf(refute_0_9705,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(product(a,b),c,c),bigC(a,a,b))) )],[refute_0_9702,refute_0_9704]) ).

cnf(refute_0_9706,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(a,b,product(a,b)),bigC(a,a,b)) != product(bigC(a,a,b),bigC(a,b,product(b,a)))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),[0],$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_9707,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) )],[refute_0_9668,refute_0_9706]) ).

cnf(refute_0_9708,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_9705,refute_0_9707]) ).

cnf(refute_0_9709,plain,
    bigC(c,bigC(a,a,b),c) = bigC(c,c,bigC(a,a,b)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9710,plain,
    product(product(c,bigC(a,a,b)),c) = bigC(c,bigC(a,a,b),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9711,plain,
    ( bigC(c,bigC(a,a,b),c) != bigC(c,c,bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),c) != bigC(c,bigC(a,a,b),c)
    | product(product(c,bigC(a,a,b)),c) = bigC(c,c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,b)),c))),bind(Y,$fot(bigC(c,bigC(a,a,b),c))),bind(Z,$fot(bigC(c,c,bigC(a,a,b))))]]) ).

cnf(refute_0_9712,plain,
    ( bigC(c,bigC(a,a,b),c) != bigC(c,c,bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),c) = bigC(c,c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),c),bigC(c,bigC(a,a,b),c)) )],[refute_0_9710,refute_0_9711]) ).

cnf(refute_0_9713,plain,
    product(product(c,bigC(a,a,b)),c) = bigC(c,c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,a,b),c),bigC(c,c,bigC(a,a,b))) )],[refute_0_9709,refute_0_9712]) ).

cnf(refute_0_9714,plain,
    difference(b,product(b,bigC(a,c,product(b,c)))) = bigC(a,c,product(b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(b)),bind(B,$fot(bigC(a,c,product(b,c))))]]) ).

cnf(refute_0_9715,plain,
    bigC(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(b,c))),bind(X_22,$fot(product(b,product(b,product(a,c)))))]]) ).

cnf(refute_0_9716,plain,
    quotient(product(b,c),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(product(b,c),difference(bigC(c,a,c),c)))),bind(X_8,$fot(product(b,c)))]]) ).

cnf(refute_0_9717,plain,
    ( difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)) != product(b,product(product(b,c),c))
    | quotient(product(b,c),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))),product(product(b,c),difference(bigC(c,a,c),c))) ),[0,1],$fot(product(b,product(product(b,c),c)))]]) ).

cnf(refute_0_9718,plain,
    ( quotient(product(b,c),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,c),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c)),product(b,product(product(b,c),c))) )],[refute_0_8948,refute_0_9717]) ).

cnf(refute_0_9719,plain,
    quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,c),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),difference(product(product(b,c),difference(bigC(c,a,c),c)),product(b,c))),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_9716,refute_0_9718]) ).

cnf(refute_0_9720,plain,
    product(product(b,c),product(product(b,c),c)) = product(product(b,product(b,c)),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(b)),bind(X_24,$fot(product(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_9721,plain,
    product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,c),difference(bigC(c,a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(b,c),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_9722,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(product(b,c),difference(bigC(c,a,c),c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,c),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),difference(bigC(c,a,c),c)),product(product(b,c),difference(bigC(c,a,c),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_9723,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,c),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,a,c),c)),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_9721,refute_0_9722]) ).

cnf(refute_0_9724,plain,
    product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,c),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_9723]) ).

cnf(refute_0_9725,plain,
    ( product(product(b,c),difference(bigC(c,a,c),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)
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,product(b,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),difference(bigC(c,a,c),c)))),bind(Y,$fot(product(product(b,c),product(product(b,c),c)))),bind(Z,$fot(product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_9726,plain,
    ( product(product(b,c),product(product(b,c),c)) != product(product(b,product(b,c)),c)
    | product(product(b,c),difference(bigC(c,a,c),c)) = product(product(b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,a,c),c)),product(product(b,c),product(product(b,c),c))) )],[refute_0_9724,refute_0_9725]) ).

cnf(refute_0_9727,plain,
    product(product(b,c),difference(bigC(c,a,c),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_9720,refute_0_9726]) ).

cnf(refute_0_9728,plain,
    ( product(product(b,c),difference(bigC(c,a,c),c)) != product(product(b,product(b,c)),c)
    | quotient(product(b,c),product(b,product(product(b,c),c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),product(product(b,c),difference(bigC(c,a,c),c))) ),[1],$fot(product(product(b,product(b,c)),c))]]) ).

cnf(refute_0_9729,plain,
    ( quotient(product(b,c),product(b,product(product(b,c),c))) != product(product(b,c),difference(bigC(c,a,c),c))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(bigC(c,a,c),c)),product(product(b,product(b,c)),c)) )],[refute_0_9727,refute_0_9728]) ).

cnf(refute_0_9730,plain,
    quotient(product(b,c),product(b,product(product(b,c),c))) = product(product(b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_9719,refute_0_9729]) ).

cnf(refute_0_9731,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_9732,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_9733,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_9731,refute_0_9732]) ).

cnf(refute_0_9734,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_2942,refute_0_9733]) ).

cnf(refute_0_9735,plain,
    quotient(product(b,c),product(b,product(product(b,c),c))) = quotient(product(b,c),product(b,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(quotient(product(b,c),product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_9736,plain,
    ( product(b,product(product(b,c),c)) != product(b,product(b,product(a,c)))
    | quotient(product(b,c),product(b,product(product(b,c),c))) != quotient(product(b,c),product(b,product(product(b,c),c)))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = quotient(product(b,c),product(b,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),quotient(product(b,c),product(b,product(product(b,c),c)))) ),[1,1],$fot(product(b,product(b,product(a,c))))]]) ).

cnf(refute_0_9737,plain,
    ( product(b,product(product(b,c),c)) != product(b,product(b,product(a,c)))
    | quotient(product(b,c),product(b,product(product(b,c),c))) = quotient(product(b,c),product(b,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),quotient(product(b,c),product(b,product(product(b,c),c)))) )],[refute_0_9735,refute_0_9736]) ).

cnf(refute_0_9738,plain,
    quotient(product(b,c),product(b,product(product(b,c),c))) = quotient(product(b,c),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_9734,refute_0_9737]) ).

cnf(refute_0_9739,plain,
    ( quotient(product(b,c),product(b,product(product(b,c),c))) != product(product(b,product(b,c)),c)
    | quotient(product(b,c),product(b,product(product(b,c),c))) != quotient(product(b,c),product(b,product(b,product(a,c))))
    | quotient(product(b,c),product(b,product(b,product(a,c)))) = product(product(b,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),product(product(b,product(b,c)),c)) ),[0],$fot(quotient(product(b,c),product(b,product(b,product(a,c)))))]]) ).

cnf(refute_0_9740,plain,
    ( quotient(product(b,c),product(b,product(product(b,c),c))) != product(product(b,product(b,c)),c)
    | quotient(product(b,c),product(b,product(b,product(a,c)))) = product(product(b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),quotient(product(b,c),product(b,product(b,product(a,c))))) )],[refute_0_9738,refute_0_9739]) ).

cnf(refute_0_9741,plain,
    quotient(product(b,c),product(b,product(b,product(a,c)))) = product(product(b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(product(b,c),c))),product(product(b,product(b,c)),c)) )],[refute_0_9730,refute_0_9740]) ).

cnf(refute_0_9742,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_79:[bind(X_15,$fot(c)),bind(X_16,$fot(product(b,c)))]]) ).

cnf(refute_0_9743,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_9744,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_2942,refute_0_9743]) ).

cnf(refute_0_9745,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_9742,refute_0_9744]) ).

cnf(refute_0_9746,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_1009:[bind(B,$fot(b)),bind(D,$fot(c)),bind(X_29,$fot(c))]]) ).

cnf(refute_0_9747,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_32:[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_9748,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_9746,refute_0_9747]) ).

cnf(refute_0_9749,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_9720,refute_0_9748]) ).

cnf(refute_0_9750,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_1023:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_9751,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_32:[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_9752,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_9750,refute_0_9751]) ).

cnf(refute_0_9753,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_9749,refute_0_9752]) ).

cnf(refute_0_9754,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_9755,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_9753,refute_0_9754]) ).

cnf(refute_0_9756,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_9757,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_9758,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_9756,refute_0_9757]) ).

cnf(refute_0_9759,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_4837,refute_0_9758]) ).

cnf(refute_0_9760,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_9761,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_9762,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_9760,refute_0_9761]) ).

cnf(refute_0_9763,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_3447,refute_0_9762]) ).

cnf(refute_0_9764,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_32:[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_9765,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_9763,refute_0_9764]) ).

cnf(refute_0_9766,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_9759,refute_0_9765]) ).

cnf(refute_0_9767,plain,
    product(product(b,c),product(b,product(a,c))) = product(product(b,b),bigC(c,c,a)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_9768,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_32:[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_9769,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_9767,refute_0_9768]) ).

cnf(refute_0_9770,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_9766,refute_0_9769]) ).

cnf(refute_0_9771,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_9772,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_9770,refute_0_9771]) ).

cnf(refute_0_9773,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_9755,refute_0_9772]) ).

cnf(refute_0_9774,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_9745,refute_0_9773]) ).

cnf(refute_0_9775,plain,
    ( product(product(b,product(b,c)),c) != product(b,bigC(a,a,b))
    | quotient(product(b,c),product(b,product(b,product(a,c)))) != product(product(b,product(b,c)),c)
    | quotient(product(b,c),product(b,product(b,product(a,c)))) = product(b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(b,product(a,c)))),product(product(b,product(b,c)),c)) ),[1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_9776,plain,
    ( quotient(product(b,c),product(b,product(b,product(a,c)))) != product(product(b,product(b,c)),c)
    | quotient(product(b,c),product(b,product(b,product(a,c)))) = 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_9774,refute_0_9775]) ).

cnf(refute_0_9777,plain,
    quotient(product(b,c),product(b,product(b,product(a,c)))) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(b,product(a,c)))),product(product(b,product(b,c)),c)) )],[refute_0_9741,refute_0_9776]) ).

cnf(refute_0_9778,plain,
    ( bigC(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | quotient(product(b,c),product(b,product(b,product(a,c)))) != product(b,bigC(a,a,b))
    | bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) ),[0,0],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_9779,plain,
    ( bigC(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,bigC(a,a,b))) )],[refute_0_9777,refute_0_9778]) ).

cnf(refute_0_9780,plain,
    bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) )],[refute_0_9715,refute_0_9779]) ).

cnf(refute_0_9781,plain,
    product(c,product(bigC(a,a,b),bigC(a,a,b))) = product(c,product(bigC(a,a,b),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(a,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9782,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(c,product(bigC(a,a,b),bigC(a,a,b))) != product(c,product(bigC(a,a,b),bigC(a,a,b)))
    | product(c,product(bigC(a,a,b),bigC(a,a,b))) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(a,a,b),bigC(a,a,b))),product(c,product(bigC(a,a,b),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_9783,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(c,product(bigC(a,a,b),bigC(a,a,b))) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,b),bigC(a,a,b))),product(c,product(bigC(a,a,b),bigC(a,a,b)))) )],[refute_0_9781,refute_0_9782]) ).

cnf(refute_0_9784,plain,
    product(c,product(bigC(a,a,b),bigC(a,a,b))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_9538,refute_0_9783]) ).

cnf(refute_0_9785,plain,
    product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))),
    introduced(tautology,[refl,[$fot(product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))))]]) ).

cnf(refute_0_9786,plain,
    ( product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,product(bigC(a,a,b),bigC(a,a,b))))
    | product(c,product(bigC(a,a,b),bigC(a,a,b))) != product(c,bigC(a,a,b))
    | product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))),product(b,product(c,product(bigC(a,a,b),bigC(a,a,b))))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_9787,plain,
    ( product(c,product(bigC(a,a,b),bigC(a,a,b))) != product(c,bigC(a,a,b))
    | product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))),product(b,product(c,product(bigC(a,a,b),bigC(a,a,b))))) )],[refute_0_9785,refute_0_9786]) ).

cnf(refute_0_9788,plain,
    product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,b),bigC(a,a,b))),product(c,bigC(a,a,b))) )],[refute_0_9784,refute_0_9787]) ).

cnf(refute_0_9789,plain,
    product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(c)),bind(X_26,$fot(product(bigC(a,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_9790,plain,
    ( product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,product(bigC(a,a,b),bigC(a,a,b))))
    | product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))))),bind(Y,$fot(product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))))),bind(Z,$fot(product(b,product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_9791,plain,
    ( product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))),product(b,product(c,product(bigC(a,a,b),bigC(a,a,b))))) )],[refute_0_9789,refute_0_9790]) ).

cnf(refute_0_9792,plain,
    product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(b,product(c,product(bigC(a,a,b),bigC(a,a,b)))),product(b,product(c,bigC(a,a,b)))) )],[refute_0_9788,refute_0_9791]) ).

cnf(refute_0_9793,plain,
    product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) = product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(b)),bind(C,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(bigC(a,a,b))),bind(X_67,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9794,plain,
    ( product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) != product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b))))
    | product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))))),bind(Y,$fot(product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))))),bind(Z,$fot(product(b,product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_9795,plain,
    ( product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))),product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b))))) )],[refute_0_9793,refute_0_9794]) ).

cnf(refute_0_9796,plain,
    product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,product(bigC(a,a,b),bigC(a,a,b)))),product(b,product(c,bigC(a,a,b)))) )],[refute_0_9792,refute_0_9795]) ).

cnf(refute_0_9797,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C))]]) ).

cnf(refute_0_9798,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C)
    | product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = bigC(bigC(a,a,b),product(product(b,c),c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C)) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_9799,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = bigC(bigC(a,a,b),product(product(b,c),c),C) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C)) )],[refute_0_9797,refute_0_9798]) ).

cnf(refute_0_9800,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) = bigC(bigC(a,a,b),product(product(b,c),c),C),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_2904,refute_0_9799]) ).

cnf(refute_0_9801,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != bigC(bigC(a,a,b),product(product(b,c),c),C)
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = product(bigC(c,a,b),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),product(bigC(c,a,b),product(C,bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),product(product(b,c),c),C))]]) ).

cnf(refute_0_9802,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = product(bigC(c,a,b),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),bigC(bigC(a,a,b),product(product(b,c),c),C)) )],[refute_0_9800,refute_0_9801]) ).

cnf(refute_0_9803,plain,
    product(bigC(c,a,b),product(C,bigC(a,a,b))) = product(bigC(c,a,b),product(C,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_9804,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(C,bigC(a,a,b))) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | product(bigC(c,a,b),product(C,bigC(a,a,b))) = product(c,product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(C,bigC(a,a,b))),product(bigC(c,a,b),product(C,bigC(a,a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_9805,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(C,bigC(a,a,b))) = product(c,product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(C,bigC(a,a,b))),product(bigC(c,a,b),product(C,bigC(a,a,b)))) )],[refute_0_9803,refute_0_9804]) ).

cnf(refute_0_9806,plain,
    product(bigC(c,a,b),product(C,bigC(a,a,b))) = product(c,product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_9805]) ).

cnf(refute_0_9807,plain,
    ( bigC(bigC(a,a,b),product(product(b,c),c),C) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | product(bigC(c,a,b),product(C,bigC(a,a,b))) != product(c,product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = product(c,product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),product(c,product(C,bigC(a,a,b)))) ),[0],$fot(product(bigC(c,a,b),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_9808,plain,
    ( bigC(bigC(a,a,b),product(product(b,c),c),C) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = product(c,product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(C,bigC(a,a,b))),product(c,product(C,bigC(a,a,b)))) )],[refute_0_9806,refute_0_9807]) ).

cnf(refute_0_9809,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C) != product(bigC(c,a,b),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = product(c,product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),product(bigC(c,a,b),product(C,bigC(a,a,b)))) )],[refute_0_9802,refute_0_9808]) ).

cnf(refute_0_9810,plain,
    bigC(bigC(a,a,b),product(product(b,c),c),C) = product(c,product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),C),product(bigC(c,a,b),product(C,bigC(a,a,b)))) )],[refute_0_3339,refute_0_9809]) ).

cnf(refute_0_9811,plain,
    bigC(bigC(a,a,b),product(product(b,c),c),C) = bigC(bigC(a,a,b),product(product(b,c),c),C),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),product(product(b,c),c),C))]]) ).

cnf(refute_0_9812,plain,
    ( bigC(bigC(a,a,b),product(product(b,c),c),C) != bigC(bigC(a,a,b),product(product(b,c),c),C)
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = bigC(bigC(a,a,b),product(b,product(a,c)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),bigC(bigC(a,a,b),product(product(b,c),c),C)) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_9813,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | bigC(bigC(a,a,b),product(product(b,c),c),C) = bigC(bigC(a,a,b),product(b,product(a,c)),C) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),bigC(bigC(a,a,b),product(product(b,c),c),C)) )],[refute_0_9811,refute_0_9812]) ).

cnf(refute_0_9814,plain,
    bigC(bigC(a,a,b),product(product(b,c),c),C) = bigC(bigC(a,a,b),product(b,product(a,c)),C),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_9813]) ).

cnf(refute_0_9815,plain,
    ( bigC(bigC(a,a,b),product(product(b,c),c),C) != bigC(bigC(a,a,b),product(b,product(a,c)),C)
    | bigC(bigC(a,a,b),product(product(b,c),c),C) != product(c,product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(b,product(a,c)),C) = product(c,product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),product(c,product(C,bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),product(b,product(a,c)),C))]]) ).

cnf(refute_0_9816,plain,
    ( bigC(bigC(a,a,b),product(product(b,c),c),C) != product(c,product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(b,product(a,c)),C) = product(c,product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),bigC(bigC(a,a,b),product(b,product(a,c)),C)) )],[refute_0_9814,refute_0_9815]) ).

cnf(refute_0_9817,plain,
    bigC(bigC(a,a,b),product(b,product(a,c)),C) = product(c,product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,c),c),C),product(c,product(C,bigC(a,a,b)))) )],[refute_0_9810,refute_0_9816]) ).

cnf(refute_0_9818,plain,
    bigC(bigC(a,a,b),product(b,product(a,c)),b) = product(c,product(b,bigC(a,a,b))),
    inference(subst,[],[refute_0_9817:[bind(C,$fot(b))]]) ).

cnf(refute_0_9819,plain,
    product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),
    introduced(tautology,[refl,[$fot(product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))]]) ).

cnf(refute_0_9820,plain,
    ( bigC(bigC(a,a,b),product(b,product(a,c)),b) != product(c,product(b,bigC(a,a,b)))
    | product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b))
    | product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) ),[1,1],$fot(product(c,product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_9821,plain,
    ( bigC(bigC(a,a,b),product(b,product(a,c)),b) != product(c,product(b,bigC(a,a,b)))
    | product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) )],[refute_0_9819,refute_0_9820]) ).

cnf(refute_0_9822,plain,
    product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(b,product(a,c)),b),product(c,product(b,bigC(a,a,b)))) )],[refute_0_9818,refute_0_9821]) ).

cnf(refute_0_9823,plain,
    product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))))]]) ).

cnf(refute_0_9824,plain,
    ( product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) != product(b,quotient(product(b,c),product(b,product(b,product(a,c)))))
    | quotient(product(b,c),product(b,product(b,product(a,c)))) != product(b,bigC(a,a,b))
    | product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(b,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),product(b,quotient(product(b,c),product(b,product(b,product(a,c)))))) ),[1,1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_9825,plain,
    ( quotient(product(b,c),product(b,product(b,product(a,c)))) != product(b,bigC(a,a,b))
    | product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),product(b,quotient(product(b,c),product(b,product(b,product(a,c)))))) )],[refute_0_9823,refute_0_9824]) ).

cnf(refute_0_9826,plain,
    product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,bigC(a,a,b))) )],[refute_0_9777,refute_0_9825]) ).

cnf(refute_0_9827,plain,
    product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),
    introduced(tautology,[refl,[$fot(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))]]) ).

cnf(refute_0_9828,plain,
    ( product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) != product(b,product(b,bigC(a,a,b)))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) ),[1,0],$fot(product(b,product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_9829,plain,
    ( product(b,quotient(product(b,c),product(b,product(b,product(a,c))))) != product(b,product(b,bigC(a,a,b)))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) )],[refute_0_9827,refute_0_9828]) ).

cnf(refute_0_9830,plain,
    product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),product(b,product(b,bigC(a,a,b)))) )],[refute_0_9826,refute_0_9829]) ).

cnf(refute_0_9831,plain,
    ( product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))),bind(Y,$fot(product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))),bind(Z,$fot(product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))))]]) ).

cnf(refute_0_9832,plain,
    ( product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) )],[refute_0_9830,refute_0_9831]) ).

cnf(refute_0_9833,plain,
    product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,bigC(a,a,b))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))) )],[refute_0_9822,refute_0_9832]) ).

cnf(refute_0_9834,plain,
    ( product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(b,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))),bind(Y,$fot(product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))))),bind(Z,$fot(product(b,product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_9835,plain,
    ( product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))) != product(b,product(c,bigC(a,a,b)))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(b,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b))))) )],[refute_0_9833,refute_0_9834]) ).

cnf(refute_0_9836,plain,
    product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,bigC(a,a,b))),product(c,product(b,bigC(a,a,b)))),product(b,product(c,bigC(a,a,b)))) )],[refute_0_9796,refute_0_9835]) ).

cnf(refute_0_9837,plain,
    bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(quotient(product(b,c),product(b,product(b,product(a,c)))))),bind(X_65,$fot(b)),bind(X_66,$fot(bigC(a,a,b))),bind(X_67,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_9838,plain,
    ( bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b))
    | product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(b,product(c,bigC(a,a,b)))
    | bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))))),bind(Y,$fot(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)))),bind(Z,$fot(product(b,product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_9839,plain,
    ( product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)) != product(b,product(c,bigC(a,a,b)))
    | bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b))) )],[refute_0_9837,refute_0_9838]) ).

cnf(refute_0_9840,plain,
    bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(product(b,c),product(b,product(b,product(a,c))))),bigC(bigC(a,a,b),product(b,product(a,c)),b)),product(b,product(c,bigC(a,a,b)))) )],[refute_0_9836,refute_0_9839]) ).

cnf(refute_0_9841,plain,
    ( bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(b,product(c,bigC(a,a,b)))
    | bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | product(b,product(c,bigC(a,a,b))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) ),[0],$fot(product(b,product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_9842,plain,
    ( bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | product(b,product(c,bigC(a,a,b))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(b,product(c,bigC(a,a,b)))) )],[refute_0_9840,refute_0_9841]) ).

cnf(refute_0_9843,plain,
    product(product(b,b),bigC(a,c,product(b,c))) = product(product(b,b),bigC(a,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(b,b),bigC(a,c,product(b,c))))]]) ).

cnf(refute_0_9844,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(a,c,product(b,c))) != product(product(b,b),bigC(a,c,product(b,c)))
    | product(product(b,b),bigC(a,c,product(b,c))) = product(b,bigC(a,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),bigC(a,c,product(b,c))),product(product(b,b),bigC(a,c,product(b,c)))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_9845,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(a,c,product(b,c))) = product(b,bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(a,c,product(b,c))),product(product(b,b),bigC(a,c,product(b,c)))) )],[refute_0_9843,refute_0_9844]) ).

cnf(refute_0_9846,plain,
    product(product(b,b),bigC(a,c,product(b,c))) = product(b,bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_9845]) ).

cnf(refute_0_9847,plain,
    product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(product(b,c),X_25),product(product(b,c),bigC(a,a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(b,c))),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9848,plain,
    bigC(quotient(product(b,product(a,c)),product(b,product(c,a))),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(b,product(a,c)))),bind(X_22,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_9849,plain,
    quotient(product(b,product(a,c)),difference(product(product(b,a),c),product(b,product(a,c)))) = product(product(b,a),c),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(product(b,a),c))),bind(X_8,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_9850,plain,
    difference(product(product(b,a),c),bigC(product(b,a),c,product(b,c))) = product(product(b,c),product(b,a)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(b,a))),bind(X_18,$fot(c)),bind(X_19,$fot(product(b,c)))]]) ).

cnf(refute_0_9851,plain,
    difference(product(product(b,a),b),bigC(product(b,a),b,c)) = product(c,product(b,a)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(b,a))),bind(X_18,$fot(b)),bind(X_19,$fot(c))]]) ).

cnf(refute_0_9852,plain,
    difference(b,product(b,bigC(product(b,a),b,c))) = bigC(product(b,a),b,c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(b)),bind(B,$fot(bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_9853,plain,
    bigC(b,b,product(b,quotient(product(a,product(b,c)),b))) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(quotient(product(a,product(b,c)),b))),bind(X_35,$fot(b))]]) ).

cnf(refute_0_9854,plain,
    quotient(product(b,product(a,product(b,c))),b) = product(b,quotient(product(a,product(b,c)),b)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(b)),bind(X_44,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_9855,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | quotient(product(b,product(a,product(b,c))),b) != product(b,quotient(product(a,product(b,c)),b))
    | quotient(product(bigC(b,b,c),c),b) = product(b,quotient(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,product(b,c))),b),product(b,quotient(product(a,product(b,c)),b))) ),[0,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9856,plain,
    ( quotient(product(b,product(a,product(b,c))),b) != product(b,quotient(product(a,product(b,c)),b))
    | quotient(product(bigC(b,b,c),c),b) = product(b,quotient(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5634,refute_0_9855]) ).

cnf(refute_0_9857,plain,
    quotient(product(bigC(b,b,c),c),b) = product(b,quotient(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,product(b,c))),b),product(b,quotient(product(a,product(b,c)),b))) )],[refute_0_9854,refute_0_9856]) ).

cnf(refute_0_9858,plain,
    ( quotient(product(bigC(b,b,c),c),b) != product(b,quotient(product(a,product(b,c)),b))
    | product(b,quotient(product(a,product(b,c)),b)) = quotient(product(bigC(b,b,c),c),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(product(bigC(b,b,c),c),b))),bind(Y,$fot(product(b,quotient(product(a,product(b,c)),b))))]]) ).

cnf(refute_0_9859,plain,
    product(b,quotient(product(a,product(b,c)),b)) = quotient(product(bigC(b,b,c),c),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),c),b),product(b,quotient(product(a,product(b,c)),b))) )],[refute_0_9857,refute_0_9858]) ).

cnf(refute_0_9860,plain,
    ( bigC(b,b,product(b,quotient(product(a,product(b,c)),b))) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,quotient(product(a,product(b,c)),b)) != quotient(product(bigC(b,b,c),c),b)
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,b,product(b,quotient(product(a,product(b,c)),b))),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) ),[0,2],$fot(quotient(product(bigC(b,b,c),c),b))]]) ).

cnf(refute_0_9861,plain,
    ( bigC(b,b,product(b,quotient(product(a,product(b,c)),b))) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(a,product(b,c)),b)),quotient(product(bigC(b,b,c),c),b)) )],[refute_0_9859,refute_0_9860]) ).

cnf(refute_0_9862,plain,
    bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,quotient(product(a,product(b,c)),b))),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) )],[refute_0_9853,refute_0_9861]) ).

cnf(refute_0_9863,plain,
    product(b,product(b,product(a,product(b,c)))) = product(b,product(b,product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(b,product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_9864,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(b,product(b,product(a,product(b,c)))) != product(b,product(b,product(a,product(b,c))))
    | product(b,product(b,product(a,product(b,c)))) = product(b,product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(b,product(a,product(b,c)))),product(b,product(b,product(a,product(b,c))))) ),[1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9865,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(b,product(b,product(a,product(b,c)))) = product(b,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(a,product(b,c)))),product(b,product(b,product(a,product(b,c))))) )],[refute_0_9863,refute_0_9864]) ).

cnf(refute_0_9866,plain,
    product(b,product(b,product(a,product(b,c)))) = product(b,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5634,refute_0_9865]) ).

cnf(refute_0_9867,plain,
    product(b,product(X_25,product(a,product(b,c)))) = product(product(b,X_25),product(b,product(a,product(b,c)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(b)),bind(X_26,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_9868,plain,
    ( product(b,product(X_25,product(a,product(b,c)))) != product(product(b,X_25),product(b,product(a,product(b,c))))
    | product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(b,product(X_25,product(a,product(b,c)))) = product(product(b,X_25),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(X_25,product(a,product(b,c)))),product(product(b,X_25),product(b,product(a,product(b,c))))) ),[1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9869,plain,
    ( product(b,product(X_25,product(a,product(b,c)))) != product(product(b,X_25),product(b,product(a,product(b,c))))
    | product(b,product(X_25,product(a,product(b,c)))) = product(product(b,X_25),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_5634,refute_0_9868]) ).

cnf(refute_0_9870,plain,
    product(b,product(X_25,product(a,product(b,c)))) = product(product(b,X_25),product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(b,product(X_25,product(a,product(b,c)))),product(product(b,X_25),product(b,product(a,product(b,c))))) )],[refute_0_9867,refute_0_9869]) ).

cnf(refute_0_9871,plain,
    ( product(b,product(X_25,product(a,product(b,c)))) != product(product(b,X_25),product(bigC(b,b,c),c))
    | product(product(b,X_25),product(bigC(b,b,c),c)) = product(b,product(X_25,product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,product(X_25,product(a,product(b,c)))))),bind(Y,$fot(product(product(b,X_25),product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_9872,plain,
    product(product(b,X_25),product(bigC(b,b,c),c)) = product(b,product(X_25,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(b,product(X_25,product(a,product(b,c)))),product(product(b,X_25),product(bigC(b,b,c),c))) )],[refute_0_9870,refute_0_9871]) ).

cnf(refute_0_9873,plain,
    product(product(b,b),product(bigC(b,b,c),c)) = product(b,product(b,product(a,product(b,c)))),
    inference(subst,[],[refute_0_9872:[bind(X_25,$fot(b))]]) ).

cnf(refute_0_9874,plain,
    bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(product(b,b),product(bigC(b,b,c),c)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(bigC(b,b,c),c))),bind(X_17,$fot(b)),bind(X_18,$fot(b))]]) ).

cnf(refute_0_9875,plain,
    ( bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(product(b,b),product(bigC(b,b,c),c))
    | product(product(b,b),product(bigC(b,b,c),c)) != product(b,product(b,product(a,product(b,c))))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(b,product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,b,quotient(product(bigC(b,b,c),c),b)))),bind(Y,$fot(product(product(b,b),product(bigC(b,b,c),c)))),bind(Z,$fot(product(b,product(b,product(a,product(b,c))))))]]) ).

cnf(refute_0_9876,plain,
    ( product(product(b,b),product(bigC(b,b,c),c)) != product(b,product(b,product(a,product(b,c))))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(b,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,quotient(product(bigC(b,b,c),c),b)),product(product(b,b),product(bigC(b,b,c),c))) )],[refute_0_9874,refute_0_9875]) ).

cnf(refute_0_9877,plain,
    bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(b,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(bigC(b,b,c),c)),product(b,product(b,product(a,product(b,c))))) )],[refute_0_9873,refute_0_9876]) ).

cnf(refute_0_9878,plain,
    ( bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(b,product(b,product(a,product(b,c))))
    | product(b,product(b,product(a,product(b,c)))) != product(b,product(bigC(b,b,c),c))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(bigC(b,b,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,b,quotient(product(bigC(b,b,c),c),b)))),bind(Y,$fot(product(b,product(b,product(a,product(b,c)))))),bind(Z,$fot(product(b,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_9879,plain,
    ( product(b,product(b,product(a,product(b,c)))) != product(b,product(bigC(b,b,c),c))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,quotient(product(bigC(b,b,c),c),b)),product(b,product(b,product(a,product(b,c))))) )],[refute_0_9877,refute_0_9878]) ).

cnf(refute_0_9880,plain,
    bigC(b,b,quotient(product(bigC(b,b,c),c),b)) = product(b,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(a,product(b,c)))),product(b,product(bigC(b,b,c),c))) )],[refute_0_9866,refute_0_9879]) ).

cnf(refute_0_9881,plain,
    ( bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(b,product(bigC(b,b,c),c))
    | product(b,product(bigC(b,b,c),c)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,b,quotient(product(bigC(b,b,c),c),b)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) ),[0],$fot(product(b,product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9882,plain,
    ( bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,product(bigC(b,b,c),c)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,quotient(product(bigC(b,b,c),c),b)),product(b,product(bigC(b,b,c),c))) )],[refute_0_9880,refute_0_9881]) ).

cnf(refute_0_9883,plain,
    bigC(product(b,a),X_18,quotient(product(b,product(a,c)),product(b,a))) = product(product(product(b,a),X_18),product(b,product(a,c))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(b,product(a,c)))),bind(X_17,$fot(product(b,a)))]]) ).

cnf(refute_0_9884,plain,
    ( bigC(product(b,a),X_18,quotient(product(b,product(a,c)),product(b,a))) != product(product(product(b,a),X_18),product(b,product(a,c)))
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | bigC(product(b,a),X_18,c) = product(product(product(b,a),X_18),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),X_18,quotient(product(b,product(a,c)),product(b,a))),product(product(product(b,a),X_18),product(b,product(a,c)))) ),[0,2],$fot(c)]]) ).

cnf(refute_0_9885,plain,
    ( bigC(product(b,a),X_18,quotient(product(b,product(a,c)),product(b,a))) != product(product(product(b,a),X_18),product(b,product(a,c)))
    | bigC(product(b,a),X_18,c) = product(product(product(b,a),X_18),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_9884]) ).

cnf(refute_0_9886,plain,
    bigC(product(b,a),X_18,c) = product(product(product(b,a),X_18),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_18,quotient(product(b,product(a,c)),product(b,a))),product(product(product(b,a),X_18),product(b,product(a,c)))) )],[refute_0_9883,refute_0_9885]) ).

cnf(refute_0_9887,plain,
    product(bigC(b,a,b),product(X_18,product(a,c))) = product(product(b,a),product(X_18,product(b,c))),
    inference(subst,[],[refute_0_464:[bind(X_25,$fot(X_18)),bind(X_65,$fot(b)),bind(X_66,$fot(a)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_9888,plain,
    product(product(product(b,a),X_18),product(b,product(a,c))) = product(bigC(b,a,b),product(X_18,product(a,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(b)),bind(X_25,$fot(X_18)),bind(X_26,$fot(product(a,c)))]]) ).

cnf(refute_0_9889,plain,
    ( product(bigC(b,a,b),product(X_18,product(a,c))) != product(product(b,a),product(X_18,product(b,c)))
    | product(product(product(b,a),X_18),product(b,product(a,c))) != product(bigC(b,a,b),product(X_18,product(a,c)))
    | product(product(product(b,a),X_18),product(b,product(a,c))) = product(product(b,a),product(X_18,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,a),X_18),product(b,product(a,c))))),bind(Y,$fot(product(bigC(b,a,b),product(X_18,product(a,c))))),bind(Z,$fot(product(product(b,a),product(X_18,product(b,c)))))]]) ).

cnf(refute_0_9890,plain,
    ( product(bigC(b,a,b),product(X_18,product(a,c))) != product(product(b,a),product(X_18,product(b,c)))
    | product(product(product(b,a),X_18),product(b,product(a,c))) = product(product(b,a),product(X_18,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_18),product(b,product(a,c))),product(bigC(b,a,b),product(X_18,product(a,c)))) )],[refute_0_9888,refute_0_9889]) ).

cnf(refute_0_9891,plain,
    product(product(product(b,a),X_18),product(b,product(a,c))) = product(product(b,a),product(X_18,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_18,product(a,c))),product(product(b,a),product(X_18,product(b,c)))) )],[refute_0_9887,refute_0_9890]) ).

cnf(refute_0_9892,plain,
    ( bigC(product(b,a),X_18,c) != product(product(product(b,a),X_18),product(b,product(a,c)))
    | product(product(product(b,a),X_18),product(b,product(a,c))) != product(product(b,a),product(X_18,product(b,c)))
    | bigC(product(b,a),X_18,c) = product(product(b,a),product(X_18,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),X_18,c),product(product(b,a),product(X_18,product(b,c)))) ),[0],$fot(product(product(product(b,a),X_18),product(b,product(a,c))))]]) ).

cnf(refute_0_9893,plain,
    ( bigC(product(b,a),X_18,c) != product(product(product(b,a),X_18),product(b,product(a,c)))
    | bigC(product(b,a),X_18,c) = product(product(b,a),product(X_18,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_18),product(b,product(a,c))),product(product(b,a),product(X_18,product(b,c)))) )],[refute_0_9891,refute_0_9892]) ).

cnf(refute_0_9894,plain,
    bigC(product(b,a),X_18,c) = product(product(b,a),product(X_18,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_18,c),product(product(product(b,a),X_18),product(b,product(a,c)))) )],[refute_0_9886,refute_0_9893]) ).

cnf(refute_0_9895,plain,
    ( bigC(product(b,a),X_18,c) != product(product(b,a),product(X_18,product(b,c)))
    | product(product(b,a),product(X_18,product(b,c))) = bigC(product(b,a),X_18,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(b,a),X_18,c))),bind(Y,$fot(product(product(b,a),product(X_18,product(b,c)))))]]) ).

cnf(refute_0_9896,plain,
    product(product(b,a),product(X_18,product(b,c))) = bigC(product(b,a),X_18,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_18,c),product(product(b,a),product(X_18,product(b,c)))) )],[refute_0_9894,refute_0_9895]) ).

cnf(refute_0_9897,plain,
    product(product(b,a),product(b,product(b,c))) = bigC(product(b,a),b,c),
    inference(subst,[],[refute_0_9896:[bind(X_18,$fot(b))]]) ).

cnf(refute_0_9898,plain,
    product(product(b,b),product(a,product(b,c))) = product(product(b,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_9899,plain,
    ( product(product(b,a),product(b,product(b,c))) != bigC(product(b,a),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))) = bigC(product(b,a),b,c) ),
    inference(subst,[],[refute_0_32:[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(bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_9900,plain,
    ( product(product(b,a),product(b,product(b,c))) != bigC(product(b,a),b,c)
    | product(product(b,b),product(a,product(b,c))) = bigC(product(b,a),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_9898,refute_0_9899]) ).

cnf(refute_0_9901,plain,
    product(product(b,b),product(a,product(b,c))) = bigC(product(b,a),b,c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(b,c))),bigC(product(b,a),b,c)) )],[refute_0_9897,refute_0_9900]) ).

cnf(refute_0_9902,plain,
    bigC(b,quotient(product(a,product(b,c)),b),b) = product(product(b,b),product(a,product(b,c))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(b)),bind(C,$fot(b)),bind(X_44,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_9903,plain,
    ( bigC(b,quotient(product(a,product(b,c)),b),b) != product(product(b,b),product(a,product(b,c)))
    | product(product(b,b),product(a,product(b,c))) != bigC(product(b,a),b,c)
    | bigC(b,quotient(product(a,product(b,c)),b),b) = bigC(product(b,a),b,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,quotient(product(a,product(b,c)),b),b))),bind(Y,$fot(product(product(b,b),product(a,product(b,c))))),bind(Z,$fot(bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_9904,plain,
    ( product(product(b,b),product(a,product(b,c))) != bigC(product(b,a),b,c)
    | bigC(b,quotient(product(a,product(b,c)),b),b) = bigC(product(b,a),b,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(product(a,product(b,c)),b),b),product(product(b,b),product(a,product(b,c)))) )],[refute_0_9902,refute_0_9903]) ).

cnf(refute_0_9905,plain,
    bigC(b,quotient(product(a,product(b,c)),b),b) = bigC(product(b,a),b,c),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(a,product(b,c))),bigC(product(b,a),b,c)) )],[refute_0_9901,refute_0_9904]) ).

cnf(refute_0_9906,plain,
    product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) = product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),
    introduced(tautology,[refl,[$fot(product(b,bigC(b,quotient(product(a,product(b,c)),b),b)))]]) ).

cnf(refute_0_9907,plain,
    ( bigC(b,quotient(product(a,product(b,c)),b),b) != bigC(product(b,a),b,c)
    | product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) = product(b,bigC(product(b,a),b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) ),[1,1],$fot(bigC(product(b,a),b,c))]]) ).

cnf(refute_0_9908,plain,
    ( bigC(b,quotient(product(a,product(b,c)),b),b) != bigC(product(b,a),b,c)
    | product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) = product(b,bigC(product(b,a),b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) )],[refute_0_9906,refute_0_9907]) ).

cnf(refute_0_9909,plain,
    product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) = product(b,bigC(product(b,a),b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(product(a,product(b,c)),b),b),bigC(product(b,a),b,c)) )],[refute_0_9905,refute_0_9908]) ).

cnf(refute_0_9910,plain,
    ( product(b,bigC(b,quotient(product(a,product(b,c)),b),b)) != product(b,bigC(product(b,a),b,c))
    | product(b,product(bigC(b,b,c),c)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,product(bigC(b,b,c),c)) = product(b,bigC(product(b,a),b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(bigC(b,b,c),c)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) ),[1],$fot(product(b,bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_9911,plain,
    ( product(b,product(bigC(b,b,c),c)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,product(bigC(b,b,c),c)) = product(b,bigC(product(b,a),b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,quotient(product(a,product(b,c)),b),b)),product(b,bigC(product(b,a),b,c))) )],[refute_0_9909,refute_0_9910]) ).

cnf(refute_0_9912,plain,
    ( bigC(b,b,quotient(product(bigC(b,b,c),c),b)) != product(b,bigC(b,quotient(product(a,product(b,c)),b),b))
    | product(b,product(bigC(b,b,c),c)) = product(b,bigC(product(b,a),b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(bigC(b,b,c),c)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) )],[refute_0_9882,refute_0_9911]) ).

cnf(refute_0_9913,plain,
    product(b,product(bigC(b,b,c),c)) = product(b,bigC(product(b,a),b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,quotient(product(bigC(b,b,c),c),b)),product(b,bigC(b,quotient(product(a,product(b,c)),b),b))) )],[refute_0_9862,refute_0_9912]) ).

cnf(refute_0_9914,plain,
    ( product(b,product(bigC(b,b,c),c)) != product(b,bigC(product(b,a),b,c))
    | product(b,bigC(product(b,a),b,c)) = product(b,product(bigC(b,b,c),c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,product(bigC(b,b,c),c)))),bind(Y,$fot(product(b,bigC(product(b,a),b,c))))]]) ).

cnf(refute_0_9915,plain,
    product(b,bigC(product(b,a),b,c)) = product(b,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(b,product(bigC(b,b,c),c)),product(b,bigC(product(b,a),b,c))) )],[refute_0_9913,refute_0_9914]) ).

cnf(refute_0_9916,plain,
    ( difference(b,product(b,bigC(product(b,a),b,c))) != bigC(product(b,a),b,c)
    | product(b,bigC(product(b,a),b,c)) != product(b,product(bigC(b,b,c),c))
    | difference(b,product(b,product(bigC(b,b,c),c))) = bigC(product(b,a),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,bigC(product(b,a),b,c))),bigC(product(b,a),b,c)) ),[0,1],$fot(product(b,product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9917,plain,
    ( difference(b,product(b,bigC(product(b,a),b,c))) != bigC(product(b,a),b,c)
    | difference(b,product(b,product(bigC(b,b,c),c))) = bigC(product(b,a),b,c) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(product(b,a),b,c)),product(b,product(bigC(b,b,c),c))) )],[refute_0_9915,refute_0_9916]) ).

cnf(refute_0_9918,plain,
    difference(b,product(b,product(bigC(b,b,c),c))) = bigC(product(b,a),b,c),
    inference(resolve,[$cnf( $equal(difference(b,product(b,bigC(product(b,a),b,c))),bigC(product(b,a),b,c)) )],[refute_0_9852,refute_0_9917]) ).

cnf(refute_0_9919,plain,
    difference(b,product(b,product(bigC(b,b,c),c))) = product(bigC(b,b,c),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(b)),bind(B,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9920,plain,
    ( difference(b,product(b,product(bigC(b,b,c),c))) != bigC(product(b,a),b,c)
    | difference(b,product(b,product(bigC(b,b,c),c))) != product(bigC(b,b,c),c)
    | product(bigC(b,b,c),c) = bigC(product(b,a),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(bigC(b,b,c),c))),bigC(product(b,a),b,c)) ),[0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9921,plain,
    ( difference(b,product(b,product(bigC(b,b,c),c))) != bigC(product(b,a),b,c)
    | product(bigC(b,b,c),c) = bigC(product(b,a),b,c) ),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(bigC(b,b,c),c))),product(bigC(b,b,c),c)) )],[refute_0_9919,refute_0_9920]) ).

cnf(refute_0_9922,plain,
    product(bigC(b,b,c),c) = bigC(product(b,a),b,c),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(bigC(b,b,c),c))),bigC(product(b,a),b,c)) )],[refute_0_9918,refute_0_9921]) ).

cnf(refute_0_9923,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_16:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_9924,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_9922,refute_0_9923]) ).

cnf(refute_0_9925,plain,
    ( bigC(product(b,a),b,c) != product(bigC(b,b,c),c)
    | difference(product(product(b,a),b),bigC(product(b,a),b,c)) != product(c,product(b,a))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),b),bigC(product(b,a),b,c)),product(c,product(b,a))) ),[0,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9926,plain,
    ( difference(product(product(b,a),b),bigC(product(b,a),b,c)) != product(c,product(b,a))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),b,c),product(bigC(b,b,c),c)) )],[refute_0_9924,refute_0_9925]) ).

cnf(refute_0_9927,plain,
    difference(product(product(b,a),b),product(bigC(b,b,c),c)) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),b),bigC(product(b,a),b,c)),product(c,product(b,a))) )],[refute_0_9851,refute_0_9926]) ).

cnf(refute_0_9928,plain,
    difference(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(product(b,a),c,product(b,c)))),bind(X_11,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9929,plain,
    quotient(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),product(bigC(c,b,c),product(c,product(c,a)))) = bigC(c,b,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(c,b,c))),bind(B,$fot(product(bigC(c,b,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_9930,plain,
    difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),quotient(c,bigC(c,b,c)))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(c)),bind(X_30,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9931,plain,
    quotient(c,difference(product(c,product(c,a)),c)) = product(c,product(c,a)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(c,product(c,a)))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_9932,plain,
    difference(product(c,product(c,a)),bigC(c,product(c,a),product(c,b))) = product(product(c,b),c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,a))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_9933,plain,
    ( bigC(c,product(c,a),product(c,b)) != c
    | difference(product(c,product(c,a)),bigC(c,product(c,a),product(c,b))) != product(product(c,b),c)
    | difference(product(c,product(c,a)),c) = product(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,a)),bigC(c,product(c,a),product(c,b))),product(product(c,b),c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_9934,plain,
    ( difference(product(c,product(c,a)),bigC(c,product(c,a),product(c,b))) != product(product(c,b),c)
    | difference(product(c,product(c,a)),c) = product(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,b)),c) )],[refute_0_1719,refute_0_9933]) ).

cnf(refute_0_9935,plain,
    difference(product(c,product(c,a)),c) = product(product(c,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),bigC(c,product(c,a),product(c,b))),product(product(c,b),c)) )],[refute_0_9932,refute_0_9934]) ).

cnf(refute_0_9936,plain,
    ( difference(product(c,product(c,a)),c) != product(product(c,b),c)
    | product(product(c,b),c) != bigC(c,b,c)
    | difference(product(c,product(c,a)),c) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,a)),c),bigC(c,b,c)) ),[0],$fot(product(product(c,b),c))]]) ).

cnf(refute_0_9937,plain,
    ( difference(product(c,product(c,a)),c) != product(product(c,b),c)
    | difference(product(c,product(c,a)),c) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_1037,refute_0_9936]) ).

cnf(refute_0_9938,plain,
    difference(product(c,product(c,a)),c) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),c),product(product(c,b),c)) )],[refute_0_9935,refute_0_9937]) ).

cnf(refute_0_9939,plain,
    ( difference(product(c,product(c,a)),c) != bigC(c,b,c)
    | quotient(c,difference(product(c,product(c,a)),c)) != product(c,product(c,a))
    | quotient(c,bigC(c,b,c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(c,product(c,a)),c)),product(c,product(c,a))) ),[0,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_9940,plain,
    ( quotient(c,difference(product(c,product(c,a)),c)) != product(c,product(c,a))
    | quotient(c,bigC(c,b,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),c),bigC(c,b,c)) )],[refute_0_9938,refute_0_9939]) ).

cnf(refute_0_9941,plain,
    quotient(c,bigC(c,b,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(c,product(c,a)),c)),product(c,product(c,a))) )],[refute_0_9931,refute_0_9940]) ).

cnf(refute_0_9942,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),quotient(c,bigC(c,b,c))))
    | quotient(c,bigC(c,b,c)) != product(c,product(c,a))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),quotient(c,bigC(c,b,c))))) ),[1,1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9943,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),quotient(c,bigC(c,b,c))))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,b,c)),product(c,product(c,a))) )],[refute_0_9941,refute_0_9942]) ).

cnf(refute_0_9944,plain,
    difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),quotient(c,bigC(c,b,c))))) )],[refute_0_9930,refute_0_9943]) ).

cnf(refute_0_9945,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))) = difference(product(c,bigC(c,b,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(c,bigC(c,b,c)),bigC(c,b,c)))),bind(Y,$fot(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a))))))]]) ).

cnf(refute_0_9946,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))) = difference(product(c,bigC(c,b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a))))) )],[refute_0_9944,refute_0_9945]) ).

cnf(refute_0_9947,plain,
    ( product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))) != difference(product(c,bigC(c,b,c)),bigC(c,b,c))
    | quotient(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),product(bigC(c,b,c),product(c,product(c,a)))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),product(bigC(c,b,c),product(c,product(c,a)))),bigC(c,b,c)) ),[0,0],$fot(difference(product(c,bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_9948,plain,
    ( quotient(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),product(bigC(c,b,c),product(c,product(c,a)))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),difference(product(c,bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_9946,refute_0_9947]) ).

cnf(refute_0_9949,plain,
    quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,c),product(bigC(c,b,c),product(c,product(c,a)))),product(bigC(c,b,c),product(c,product(c,a)))),bigC(c,b,c)) )],[refute_0_9929,refute_0_9948]) ).

cnf(refute_0_9950,plain,
    product(bigC(b,a,b),product(c,product(c,a))) = bigC(product(b,a),c,product(b,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(c)),bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_25,$fot(b)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_9951,plain,
    product(bigC(c,b,c),product(c,product(c,a))) = product(bigC(c,b,c),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(c,product(c,a))))]]) ).

cnf(refute_0_9952,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(c,product(c,a))) != product(bigC(c,b,c),product(c,product(c,a)))
    | product(bigC(c,b,c),product(c,product(c,a))) = product(bigC(b,a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(c,product(c,a))),product(bigC(c,b,c),product(c,product(c,a)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9953,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(c,product(c,a))) = product(bigC(b,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,product(c,a))),product(bigC(c,b,c),product(c,product(c,a)))) )],[refute_0_9951,refute_0_9952]) ).

cnf(refute_0_9954,plain,
    product(bigC(c,b,c),product(c,product(c,a))) = product(bigC(b,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_9953]) ).

cnf(refute_0_9955,plain,
    ( product(bigC(b,a,b),product(c,product(c,a))) != bigC(product(b,a),c,product(b,c))
    | product(bigC(c,b,c),product(c,product(c,a))) != product(bigC(b,a,b),product(c,product(c,a)))
    | product(bigC(c,b,c),product(c,product(c,a))) = bigC(product(b,a),c,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,b,c),product(c,product(c,a))))),bind(Y,$fot(product(bigC(b,a,b),product(c,product(c,a))))),bind(Z,$fot(bigC(product(b,a),c,product(b,c))))]]) ).

cnf(refute_0_9956,plain,
    ( product(bigC(b,a,b),product(c,product(c,a))) != bigC(product(b,a),c,product(b,c))
    | product(bigC(c,b,c),product(c,product(c,a))) = bigC(product(b,a),c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,product(c,a))),product(bigC(b,a,b),product(c,product(c,a)))) )],[refute_0_9954,refute_0_9955]) ).

cnf(refute_0_9957,plain,
    product(bigC(c,b,c),product(c,product(c,a))) = bigC(product(b,a),c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(c,a))),bigC(product(b,a),c,product(b,c))) )],[refute_0_9950,refute_0_9956]) ).

cnf(refute_0_9958,plain,
    quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_9959,plain,
    ( product(bigC(c,b,c),product(c,product(c,a))) != bigC(product(b,a),c,product(b,c))
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a))))
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a))))) ),[1,1],$fot(bigC(product(b,a),c,product(b,c)))]]) ).

cnf(refute_0_9960,plain,
    ( product(bigC(c,b,c),product(c,product(c,a))) != bigC(product(b,a),c,product(b,c))
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a))))) )],[refute_0_9958,refute_0_9959]) ).

cnf(refute_0_9961,plain,
    quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,product(c,a))),bigC(product(b,a),c,product(b,c))) )],[refute_0_9957,refute_0_9960]) ).

cnf(refute_0_9962,plain,
    difference(product(c,bigC(b,a,b)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(b,a,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_9963,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(c,bigC(b,a,b)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(c,b,c))
    | difference(product(c,bigC(b,a,b)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(c,b,c)),difference(product(c,bigC(b,a,b)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9964,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(c,bigC(b,a,b)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(c,b,c)),difference(product(c,bigC(b,a,b)),bigC(c,b,c))) )],[refute_0_9962,refute_0_9963]) ).

cnf(refute_0_9965,plain,
    difference(product(c,bigC(b,a,b)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_9964]) ).

cnf(refute_0_9966,plain,
    difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(c,b,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_9967,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != difference(product(c,bigC(c,b,c)),bigC(c,b,c))
    | product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),difference(product(c,bigC(c,b,c)),bigC(c,b,c))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_9968,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),difference(product(c,bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_9966,refute_0_9967]) ).

cnf(refute_0_9969,plain,
    difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_2857,refute_0_9968]) ).

cnf(refute_0_9970,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(b,a,b))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(c,b,c))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,bigC(c,b,c)),bigC(c,b,c)))),bind(Y,$fot(difference(product(c,bigC(b,a,b)),bigC(c,b,c)))),bind(Z,$fot(difference(product(c,bigC(b,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_9971,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(b,a,b))
    | difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),difference(product(c,bigC(b,a,b)),bigC(c,b,c))) )],[refute_0_9969,refute_0_9970]) ).

cnf(refute_0_9972,plain,
    difference(product(c,bigC(c,b,c)),bigC(c,b,c)) = difference(product(c,bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(c,b,c)),difference(product(c,bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_9965,refute_0_9971]) ).

cnf(refute_0_9973,plain,
    quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))))]]) ).

cnf(refute_0_9974,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(b,a,b))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a))))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a))))) ),[1,0],$fot(difference(product(c,bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_9975,plain,
    ( difference(product(c,bigC(c,b,c)),bigC(c,b,c)) != difference(product(c,bigC(b,a,b)),bigC(b,a,b))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a))))) )],[refute_0_9973,refute_0_9974]) ).

cnf(refute_0_9976,plain,
    quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),difference(product(c,bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_9972,refute_0_9975]) ).

cnf(refute_0_9977,plain,
    ( quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a))))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))))),bind(Y,$fot(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))))),bind(Z,$fot(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))))]]) ).

cnf(refute_0_9978,plain,
    ( quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a))))) )],[refute_0_9976,refute_0_9977]) ).

cnf(refute_0_9979,plain,
    quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))) )],[refute_0_9961,refute_0_9978]) ).

cnf(refute_0_9980,plain,
    ( quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),bigC(c,b,c)) ),[0],$fot(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))))]]) ).

cnf(refute_0_9981,plain,
    ( quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))) )],[refute_0_9979,refute_0_9980]) ).

cnf(refute_0_9982,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),bigC(c,b,c)) ),[1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9983,plain,
    ( quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_9982]) ).

cnf(refute_0_9984,plain,
    ( quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))) != bigC(c,b,c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),bigC(c,b,c)) )],[refute_0_9981,refute_0_9983]) ).

cnf(refute_0_9985,plain,
    quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(c,product(c,a)))),bigC(c,b,c)) )],[refute_0_9949,refute_0_9984]) ).

cnf(refute_0_9986,plain,
    difference(product(c,bigC(b,a,b)),bigC(c,bigC(b,a,b),bigC(b,b,c))) = product(bigC(b,b,c),c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(bigC(b,a,b))),bind(X_19,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9987,plain,
    product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) = bigC(b,a,b),
    inference(subst,[],[refute_0_11:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_9988,plain,
    product(bigC(b,a,b),difference(bigC(b,a,b),c)) = c,
    inference(subst,[],[refute_0_3:[bind(A,$fot(bigC(b,a,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_9989,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | product(bigC(b,a,b),difference(bigC(b,a,b),c)) != c
    | product(bigC(b,a,b),product(a,product(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),difference(bigC(b,a,b),c)),c) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9990,plain,
    ( product(bigC(b,a,b),difference(bigC(b,a,b),c)) != c
    | product(bigC(b,a,b),product(a,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_1775,refute_0_9989]) ).

cnf(refute_0_9991,plain,
    product(bigC(b,a,b),product(a,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),difference(bigC(b,a,b),c)),c) )],[refute_0_9988,refute_0_9990]) ).

cnf(refute_0_9992,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != c
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) != bigC(b,a,b)
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))),bigC(b,a,b)) ),[0,1,1],$fot(c)]]) ).

cnf(refute_0_9993,plain,
    ( product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) != bigC(b,a,b)
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),c) )],[refute_0_9991,refute_0_9992]) ).

cnf(refute_0_9994,plain,
    product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))),bigC(b,a,b)) )],[refute_0_9987,refute_0_9993]) ).

cnf(refute_0_9995,plain,
    product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(bigC(b,a,b))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9996,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(c,bigC(c,a,b)))),bind(C,$fot(bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_9997,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(difference(product(bigC(c,a,c),b),product(c,b)))),bind(B,$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_9998,plain,
    product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)))) = difference(product(product(a,c),b),product(c,b)),
    inference(subst,[],[refute_0_489:[bind(B,$fot(product(c,b))),bind(X_15,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_9999,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)))) != difference(product(product(a,c),b),product(c,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = difference(product(product(a,c),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)))),difference(product(product(a,c),b),product(c,b))) ),[0,1,1,0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10000,plain,
    ( product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)))) != difference(product(product(a,c),b),product(c,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = difference(product(product(a,c),b),product(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_1166,refute_0_9999]) ).

cnf(refute_0_10001,plain,
    product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = difference(product(product(a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)))),difference(product(product(a,c),b),product(c,b))) )],[refute_0_9998,refute_0_10000]) ).

cnf(refute_0_10002,plain,
    product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)) = bigC(product(c,b),product(a,b),bigC(c,a,b)),
    inference(subst,[],[refute_0_1077:[bind(C,$fot(bigC(c,a,b))),bind(X_23,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_10003,plain,
    product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)))]]) ).

cnf(refute_0_10004,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) != product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10005,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))) )],[refute_0_10003,refute_0_10004]) ).

cnf(refute_0_10006,plain,
    product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1082,refute_0_10005]) ).

cnf(refute_0_10007,plain,
    ( product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) != product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c))
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)))),bind(Y,$fot(product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10008,plain,
    ( product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_10006,refute_0_10007]) ).

cnf(refute_0_10009,plain,
    product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),bigC(c,a,b)),bigC(b,b,c)),bigC(product(c,b),product(a,b),bigC(c,a,b))) )],[refute_0_10002,refute_0_10008]) ).

cnf(refute_0_10010,plain,
    product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(c)),bind(X_23,$fot(product(c,a))),bind(X_24,$fot(bigC(c,a,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_10011,plain,
    product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_44,$fot(product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_10012,plain,
    ( product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)) != product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) != product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))),bind(Y,$fot(product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)))),bind(Z,$fot(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))))]]) ).

cnf(refute_0_10013,plain,
    ( product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)) != product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b))) )],[refute_0_10011,refute_0_10012]) ).

cnf(refute_0_10014,plain,
    product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(b,c)),product(bigC(c,a,b),b)),product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))) )],[refute_0_10010,refute_0_10013]) ).

cnf(refute_0_10015,plain,
    ( product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) != product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))),bind(Y,$fot(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)))),bind(Z,$fot(bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10016,plain,
    ( product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b))) )],[refute_0_10014,refute_0_10015]) ).

cnf(refute_0_10017,plain,
    product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),bigC(c,a,b)),bigC(b,c,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) )],[refute_0_10009,refute_0_10016]) ).

cnf(refute_0_10018,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))]]) ).

cnf(refute_0_10019,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))
    | product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) ),[1,1],$fot(bigC(product(c,b),product(a,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10020,plain,
    ( product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) )],[refute_0_10018,refute_0_10019]) ).

cnf(refute_0_10021,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) )],[refute_0_10017,refute_0_10020]) ).

cnf(refute_0_10022,plain,
    product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))]]) ).

cnf(refute_0_10023,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) ),[1,0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10024,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) )],[refute_0_10022,refute_0_10023]) ).

cnf(refute_0_10025,plain,
    product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_1166,refute_0_10024]) ).

cnf(refute_0_10026,plain,
    ( product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))),bind(Y,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))),bind(Z,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_10027,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) )],[refute_0_10025,refute_0_10026]) ).

cnf(refute_0_10028,plain,
    product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10021,refute_0_10027]) ).

cnf(refute_0_10029,plain,
    product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(product(c,b))),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(a,c))),bind(D,$fot(b)),bind(X_47,$fot(difference(product(product(a,c),b),product(c,b))))]]) ).

cnf(refute_0_10030,plain,
    ( product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) != product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))),bind(Y,$fot(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))),bind(Z,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_10031,plain,
    ( product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) )],[refute_0_10029,refute_0_10030]) ).

cnf(refute_0_10032,plain,
    product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10028,refute_0_10031]) ).

cnf(refute_0_10033,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),
    introduced(tautology,[refl,[$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))))]]) ).

cnf(refute_0_10034,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))
    | product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))) ),[1,1],$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10035,plain,
    ( product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))) )],[refute_0_10033,refute_0_10034]) ).

cnf(refute_0_10036,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10032,refute_0_10035]) ).

cnf(refute_0_10037,plain,
    product(product(c,b),difference(product(product(a,c),b),product(c,b))) = product(product(c,b),difference(product(product(a,c),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),difference(product(product(a,c),b),product(c,b))))]]) ).

cnf(refute_0_10038,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(product(c,b),difference(product(product(a,c),b),product(c,b))) != product(product(c,b),difference(product(product(a,c),b),product(c,b)))
    | product(product(c,b),difference(product(product(a,c),b),product(c,b))) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(product(c,b),difference(product(product(a,c),b),product(c,b)))) ),[1,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10039,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(product(c,b),difference(product(product(a,c),b),product(c,b))) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(product(c,b),difference(product(product(a,c),b),product(c,b)))) )],[refute_0_10037,refute_0_10038]) ).

cnf(refute_0_10040,plain,
    product(product(c,b),difference(product(product(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(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_1166,refute_0_10039]) ).

cnf(refute_0_10041,plain,
    ( product(product(c,b),difference(product(product(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))
    | product(product(c,b),difference(product(product(a,c),b),product(c,b))) = difference(product(bigC(c,a,c),b),product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),difference(product(product(a,c),b),product(c,b))))),bind(Y,$fot(product(product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(difference(product(bigC(c,a,c),b),product(c,b))))]]) ).

cnf(refute_0_10042,plain,
    ( 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),difference(product(product(a,c),b),product(c,b))) = difference(product(bigC(c,a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_10040,refute_0_10041]) ).

cnf(refute_0_10043,plain,
    product(product(c,b),difference(product(product(a,c),b),product(c,b))) = 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_7180,refute_0_10042]) ).

cnf(refute_0_10044,plain,
    product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))))]]) ).

cnf(refute_0_10045,plain,
    ( product(product(c,b),difference(product(product(a,c),b),product(c,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))) ),[1,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_10046,plain,
    ( product(product(c,b),difference(product(product(a,c),b),product(c,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))) )],[refute_0_10044,refute_0_10045]) ).

cnf(refute_0_10047,plain,
    product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(a,c),b),product(c,b))),difference(product(bigC(c,a,c),b),product(c,b))) )],[refute_0_10043,refute_0_10046]) ).

cnf(refute_0_10048,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))))),bind(Y,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))))),bind(Z,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))))]]) ).

cnf(refute_0_10049,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))) )],[refute_0_10047,refute_0_10048]) ).

cnf(refute_0_10050,plain,
    product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))) )],[refute_0_10036,refute_0_10049]) ).

cnf(refute_0_10051,plain,
    ( product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != difference(product(product(a,c),b),product(c,b))
    | product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = difference(product(product(a,c),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),difference(product(product(a,c),b),product(c,b))) ),[0],$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_10052,plain,
    ( product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != difference(product(product(a,c),b),product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = difference(product(product(a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))) )],[refute_0_10050,refute_0_10051]) ).

cnf(refute_0_10053,plain,
    ( difference(product(product(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(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != difference(product(product(a,c),b),product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),difference(product(product(a,c),b),product(c,b))) ),[1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10054,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != difference(product(product(a,c),b),product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,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,a,b))) )],[refute_0_1166,refute_0_10053]) ).

cnf(refute_0_10055,plain,
    ( product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) != difference(product(product(a,c),b),product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,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(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),difference(product(product(a,c),b),product(c,b))) )],[refute_0_10052,refute_0_10054]) ).

cnf(refute_0_10056,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),difference(product(product(a,c),b),product(c,b))),product(difference(product(product(a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))),difference(product(product(a,c),b),product(c,b))) )],[refute_0_10001,refute_0_10055]) ).

cnf(refute_0_10057,plain,
    product(product(c,product(b,a)),product(bigC(c,a,b),b)) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(a)),bind(X_23,$fot(c)),bind(X_24,$fot(bigC(c,a,b))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_10058,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) = product(product(c,product(b,a)),product(bigC(c,a,b),b)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(bigC(c,a,b))),bind(D,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_10059,plain,
    ( product(product(c,product(b,a)),product(bigC(c,a,b),b)) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) != product(product(c,product(b,a)),product(bigC(c,a,b),b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)))),bind(Y,$fot(product(product(c,product(b,a)),product(bigC(c,a,b),b)))),bind(Z,$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_10060,plain,
    ( product(product(c,product(b,a)),product(bigC(c,a,b),b)) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)),product(product(c,product(b,a)),product(bigC(c,a,b),b))) )],[refute_0_10058,refute_0_10059]) ).

cnf(refute_0_10061,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),product(bigC(c,a,b),b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10057,refute_0_10060]) ).

cnf(refute_0_10062,plain,
    product(product(c,quotient(product(a,b),product(a,b))),bigC(b,a,b)) = product(product(c,b),product(a,b)),
    inference(subst,[],[refute_0_1322:[bind(X_44,$fot(product(a,b)))]]) ).

cnf(refute_0_10063,plain,
    quotient(product(a,b),product(a,b)) = product(a,b),
    inference(subst,[],[refute_0_2732:[bind(X_5,$fot(product(a,b)))]]) ).

cnf(refute_0_10064,plain,
    ( product(product(c,quotient(product(a,b),product(a,b))),bigC(b,a,b)) != product(product(c,b),product(a,b))
    | quotient(product(a,b),product(a,b)) != product(a,b)
    | product(product(c,product(a,b)),bigC(b,a,b)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,quotient(product(a,b),product(a,b))),bigC(b,a,b)),product(product(c,b),product(a,b))) ),[0,0,1],$fot(product(a,b))]]) ).

cnf(refute_0_10065,plain,
    ( product(product(c,quotient(product(a,b),product(a,b))),bigC(b,a,b)) != product(product(c,b),product(a,b))
    | product(product(c,product(a,b)),bigC(b,a,b)) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(a,b)),product(a,b)) )],[refute_0_10063,refute_0_10064]) ).

cnf(refute_0_10066,plain,
    product(product(c,product(a,b)),bigC(b,a,b)) = product(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(product(a,b),product(a,b))),bigC(b,a,b)),product(product(c,b),product(a,b))) )],[refute_0_10062,refute_0_10065]) ).

cnf(refute_0_10067,plain,
    ( product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(product(c,product(a,b)),bigC(b,a,b)) != product(product(c,b),product(a,b))
    | product(product(c,product(a,b)),bigC(b,a,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,b)),bigC(b,a,b)),product(product(c,b),product(a,b))) ),[1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_10068,plain,
    ( product(product(c,product(a,b)),bigC(b,a,b)) != product(product(c,b),product(a,b))
    | product(product(c,product(a,b)),bigC(b,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_211,refute_0_10067]) ).

cnf(refute_0_10069,plain,
    product(product(c,product(a,b)),bigC(b,a,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),bigC(b,a,b)),product(product(c,b),product(a,b))) )],[refute_0_10066,refute_0_10068]) ).

cnf(refute_0_10070,plain,
    bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,product(a,b)),bigC(b,a,b)),
    inference(subst,[],[refute_0_1407:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_10071,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,product(a,b)),bigC(b,a,b))
    | product(product(c,product(a,b)),bigC(b,a,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,a),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(a,b),bigC(c,a,b)))),bind(Y,$fot(product(product(c,product(a,b)),bigC(b,a,b)))),bind(Z,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_10072,plain,
    ( product(product(c,product(a,b)),bigC(b,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(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) )],[refute_0_10070,refute_0_10071]) ).

cnf(refute_0_10073,plain,
    bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),bigC(b,a,b)),product(product(c,a),b)) )],[refute_0_10069,refute_0_10072]) ).

cnf(refute_0_10074,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10075,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,a),b)
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_10076,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,a),b)
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10074,refute_0_10075]) ).

cnf(refute_0_10077,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,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(c,a),b)) )],[refute_0_10073,refute_0_10076]) ).

cnf(refute_0_10078,plain,
    ( product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))),bind(Y,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)))),bind(Z,$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_10079,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b))) )],[refute_0_10077,refute_0_10078]) ).

cnf(refute_0_10080,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(c,a),b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10061,refute_0_10079]) ).

cnf(refute_0_10081,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_10082,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))) ),[1,1],$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10083,plain,
    ( product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))) )],[refute_0_10081,refute_0_10082]) ).

cnf(refute_0_10084,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10080,refute_0_10083]) ).

cnf(refute_0_10085,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != product(product(c,b),bigC(c,a,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = product(product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),product(product(c,b),bigC(c,a,b))) ),[0],$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_10086,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) != product(product(c,b),bigC(c,a,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,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(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) )],[refute_0_10084,refute_0_10085]) ).

cnf(refute_0_10087,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,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(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))),product(product(c,b),bigC(c,a,b))) )],[refute_0_10056,refute_0_10086]) ).

cnf(refute_0_10088,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != product(product(c,b),bigC(c,a,b))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),[0,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_10089,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))),product(product(c,b),bigC(c,a,b))) )],[refute_0_10087,refute_0_10088]) ).

cnf(refute_0_10090,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b)))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_9997,refute_0_10089]) ).

cnf(refute_0_10091,plain,
    difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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)),quotient(product(c,b),product(product(c,b),bigC(c,a,b))))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(c,b))),bind(X_30,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10092,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))))
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(a,c),b)
    | difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))))) ),[1,1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_10093,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))))
    | difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(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_1169,refute_0_10092]) ).

cnf(refute_0_10094,plain,
    difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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)),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))))) )],[refute_0_10091,refute_0_10093]) ).

cnf(refute_0_10095,plain,
    difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10096,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != difference(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(c,b),bigC(c,a,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_10097,plain,
    ( product(product(c,b),product(product(c,b),bigC(c,a,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))) )],[refute_0_10095,refute_0_10096]) ).

cnf(refute_0_10098,plain,
    difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = difference(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_7180,refute_0_10097]) ).

cnf(refute_0_10099,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),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(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)))) ),[0],$fot(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10100,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),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(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_10098,refute_0_10099]) ).

cnf(refute_0_10101,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),
    inference(subst,[],[refute_0_685:[bind(A,$fot(product(c,b))),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(a,c))),bind(D,$fot(b)),bind(X_47,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10102,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) != product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))),bind(Y,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))))),bind(Z,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_10103,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)))) )],[refute_0_10101,refute_0_10102]) ).

cnf(refute_0_10104,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10021,refute_0_10103]) ).

cnf(refute_0_10105,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),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(product(a,c),b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),[0],$fot(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))))]]) ).

cnf(refute_0_10106,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),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(product(a,c),b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10104,refute_0_10105]) ).

cnf(refute_0_10107,plain,
    ( difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),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(product(a,c),b)))) )],[refute_0_10100,refute_0_10106]) ).

cnf(refute_0_10108,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),bigC(c,a,b))),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(product(a,c),b)))) )],[refute_0_10094,refute_0_10107]) ).

cnf(refute_0_10109,plain,
    product(product(b,product(a,b)),bigC(b,a,b)) = bigC(b,product(a,b),product(b,a)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(b)),bind(B,$fot(product(a,b))),bind(X_22,$fot(a))]]) ).

cnf(refute_0_10110,plain,
    product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_10111,plain,
    ( product(product(b,product(a,b)),bigC(b,a,b)) != bigC(b,product(a,b),product(b,a))
    | product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b)))
    | product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))),product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b)))) ),[1,1],$fot(bigC(b,product(a,b),product(b,a)))]]) ).

cnf(refute_0_10112,plain,
    ( product(product(b,product(a,b)),bigC(b,a,b)) != bigC(b,product(a,b),product(b,a))
    | product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))),product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b)))) )],[refute_0_10110,refute_0_10111]) ).

cnf(refute_0_10113,plain,
    product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(b,a,b)),bigC(b,product(a,b),product(b,a))) )],[refute_0_10109,refute_0_10112]) ).

cnf(refute_0_10114,plain,
    product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(b,product(a,b)))),bind(D,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10115,plain,
    ( product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b)))
    | product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))))),bind(Y,$fot(product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))))),bind(Z,$fot(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))))]]) ).

cnf(refute_0_10116,plain,
    ( product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))),product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b)))) )],[refute_0_10114,refute_0_10115]) ).

cnf(refute_0_10117,plain,
    product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),product(product(b,product(a,b)),bigC(b,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) )],[refute_0_10113,refute_0_10116]) ).

cnf(refute_0_10118,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) = product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(bigC(c,a,b))),bind(D,$fot(bigC(b,a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(product(a,b)))]]) ).

cnf(refute_0_10119,plain,
    ( product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) != product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))))),bind(Y,$fot(product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))))),bind(Z,$fot(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))))]]) ).

cnf(refute_0_10120,plain,
    ( product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))),product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b)))) )],[refute_0_10118,refute_0_10119]) ).

cnf(refute_0_10121,plain,
    product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,product(a,b))),product(bigC(c,a,b),bigC(b,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) )],[refute_0_10117,refute_0_10120]) ).

cnf(refute_0_10122,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,product(a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) ),[1,1],$fot(product(product(c,product(a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10123,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,product(a,b)),bigC(b,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10074,refute_0_10122]) ).

cnf(refute_0_10124,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) )],[refute_0_10070,refute_0_10123]) ).

cnf(refute_0_10125,plain,
    ( product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))),bind(Y,$fot(product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))))),bind(Z,$fot(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))))]]) ).

cnf(refute_0_10126,plain,
    ( product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b)))) )],[refute_0_10124,refute_0_10125]) ).

cnf(refute_0_10127,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),product(product(c,product(a,b)),bigC(b,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) )],[refute_0_10121,refute_0_10126]) ).

cnf(refute_0_10128,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) ),[0],$fot(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_10129,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) )],[refute_0_10127,refute_0_10128]) ).

cnf(refute_0_10130,plain,
    difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(product(c,b),bigC(c,a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b)))) )],[refute_0_10108,refute_0_10129]) ).

cnf(refute_0_10131,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))
    | product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),[0],$fot(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_10132,plain,
    ( difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) )],[refute_0_10130,refute_0_10131]) ).

cnf(refute_0_10133,plain,
    product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) = product(product(c,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10090,refute_0_10132]) ).

cnf(refute_0_10134,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(B,D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(B,D))) ),[1,0],$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10135,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(B,D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10133,refute_0_10134]) ).

cnf(refute_0_10136,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(B,D))) )],[refute_0_9996,refute_0_10135]) ).

cnf(refute_0_10137,plain,
    difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) = bigC(b,product(a,b),product(b,a)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,bigC(c,a,b)))),bind(B,$fot(bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_10138,plain,
    ( difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) != bigC(b,product(a,b),product(b,a))
    | product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = bigC(b,product(a,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))),bigC(b,product(a,b),product(b,a))) ),[0,1],$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10139,plain,
    ( difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))) != bigC(b,product(a,b),product(b,a))
    | difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = bigC(b,product(a,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10133,refute_0_10138]) ).

cnf(refute_0_10140,plain,
    difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = bigC(b,product(a,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))),bigC(b,product(a,b),product(b,a))) )],[refute_0_10137,refute_0_10139]) ).

cnf(refute_0_10141,plain,
    difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,bigC(c,a,b)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10142,plain,
    ( difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != bigC(b,a,b)
    | difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != bigC(b,product(a,b),product(b,a))
    | bigC(b,a,b) = bigC(b,product(a,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))),bigC(b,product(a,b),product(b,a))) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10143,plain,
    ( difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != bigC(b,product(a,b),product(b,a))
    | bigC(b,a,b) = bigC(b,product(a,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_10141,refute_0_10142]) ).

cnf(refute_0_10144,plain,
    bigC(b,a,b) = bigC(b,product(a,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,a,b))),bigC(b,product(a,b),product(b,a))) )],[refute_0_10140,refute_0_10143]) ).

cnf(refute_0_10145,plain,
    ( bigC(b,a,b) != bigC(b,product(a,b),product(b,a))
    | bigC(b,product(a,b),product(b,a)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_10146,plain,
    bigC(b,product(a,b),product(b,a)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(b,product(a,b),product(b,a))) )],[refute_0_10144,refute_0_10145]) ).

cnf(refute_0_10147,plain,
    product(bigC(b,product(a,b),product(b,a)),D) = product(bigC(b,product(a,b),product(b,a)),D),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(a,b),product(b,a)),D))]]) ).

cnf(refute_0_10148,plain,
    ( bigC(b,product(a,b),product(b,a)) != bigC(b,a,b)
    | product(bigC(b,product(a,b),product(b,a)),D) != product(bigC(b,product(a,b),product(b,a)),D)
    | product(bigC(b,product(a,b),product(b,a)),D) = product(bigC(b,a,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(a,b),product(b,a)),D),product(bigC(b,product(a,b),product(b,a)),D)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10149,plain,
    ( bigC(b,product(a,b),product(b,a)) != bigC(b,a,b)
    | product(bigC(b,product(a,b),product(b,a)),D) = product(bigC(b,a,b),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(b,a)),D),product(bigC(b,product(a,b),product(b,a)),D)) )],[refute_0_10147,refute_0_10148]) ).

cnf(refute_0_10150,plain,
    product(bigC(b,product(a,b),product(b,a)),D) = product(bigC(b,a,b),D),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(b,a)),bigC(b,a,b)) )],[refute_0_10146,refute_0_10149]) ).

cnf(refute_0_10151,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)))]]) ).

cnf(refute_0_10152,plain,
    ( product(bigC(b,product(a,b),product(b,a)),D) != product(bigC(b,a,b),D)
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D))) ),[1,1],$fot(product(bigC(b,a,b),D))]]) ).

cnf(refute_0_10153,plain,
    ( product(bigC(b,product(a,b),product(b,a)),D) != product(bigC(b,a,b),D)
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D))) )],[refute_0_10151,refute_0_10152]) ).

cnf(refute_0_10154,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) = product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(b,a)),D),product(bigC(b,a,b),D)) )],[refute_0_10150,refute_0_10153]) ).

cnf(refute_0_10155,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) ),[0],$fot(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_10156,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D))) )],[refute_0_10154,refute_0_10155]) ).

cnf(refute_0_10157,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,product(a,b),product(b,a)),D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) )],[refute_0_10136,refute_0_10156]) ).

cnf(refute_0_10158,plain,
    product(product(c,bigC(c,a,b)),B) = product(product(c,bigC(c,a,b)),B),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,a,b)),B))]]) ).

cnf(refute_0_10159,plain,
    ( product(c,bigC(c,a,b)) != c
    | product(product(c,bigC(c,a,b)),B) != product(product(c,bigC(c,a,b)),B)
    | product(product(c,bigC(c,a,b)),B) = product(c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,a,b)),B),product(product(c,bigC(c,a,b)),B)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_10160,plain,
    ( product(c,bigC(c,a,b)) != c
    | product(product(c,bigC(c,a,b)),B) = product(c,B) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),B),product(product(c,bigC(c,a,b)),B)) )],[refute_0_10158,refute_0_10159]) ).

cnf(refute_0_10161,plain,
    product(product(c,bigC(c,a,b)),B) = product(c,B),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,b)),c) )],[refute_0_913,refute_0_10160]) ).

cnf(refute_0_10162,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_10163,plain,
    ( product(product(c,bigC(c,a,b)),B) != product(c,B)
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(c,B),product(bigC(b,a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D))) ),[1,0],$fot(product(c,B))]]) ).

cnf(refute_0_10164,plain,
    ( product(product(c,bigC(c,a,b)),B) != product(c,B)
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(c,B),product(bigC(b,a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D))) )],[refute_0_10162,refute_0_10163]) ).

cnf(refute_0_10165,plain,
    product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) = product(product(c,B),product(bigC(b,a,b),D)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),B),product(c,B)) )],[refute_0_10161,refute_0_10164]) ).

cnf(refute_0_10166,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) != product(product(c,B),product(bigC(b,a,b),D))
    | product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) ),[0],$fot(product(product(c,B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_10167,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),product(product(c,B),product(bigC(b,a,b),D))) )],[refute_0_10165,refute_0_10166]) ).

cnf(refute_0_10168,plain,
    bigC(product(c,b),c,bigC(c,a,b)) = bigC(product(c,b),c,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),c,bigC(c,a,b)))]]) ).

cnf(refute_0_10169,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),c,bigC(c,a,b)) != bigC(product(c,b),c,bigC(c,a,b))
    | bigC(product(c,b),c,bigC(c,a,b)) = bigC(product(c,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),c,bigC(c,a,b)),bigC(product(c,b),c,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_10170,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),c,bigC(c,a,b)) = bigC(product(c,b),c,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,bigC(c,a,b)),bigC(product(c,b),c,bigC(c,a,b))) )],[refute_0_10168,refute_0_10169]) ).

cnf(refute_0_10171,plain,
    bigC(product(c,b),c,bigC(c,a,b)) = bigC(product(c,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_10170]) ).

cnf(refute_0_10172,plain,
    bigC(product(c,b),bigC(c,a,b),c) = bigC(product(c,b),c,bigC(c,a,b)),
    inference(subst,[],[refute_0_1449:[bind(X_71,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_10173,plain,
    product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),bigC(c,a,b),c),
    inference(subst,[],[refute_0_1438:[bind(B,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_10174,plain,
    ( bigC(product(c,b),bigC(c,a,b),c) != bigC(product(c,b),c,bigC(c,a,b))
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),bigC(c,a,b),c)
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,bigC(c,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))),bind(Y,$fot(bigC(product(c,b),bigC(c,a,b),c))),bind(Z,$fot(bigC(product(c,b),c,bigC(c,a,b))))]]) ).

cnf(refute_0_10175,plain,
    ( bigC(product(c,b),bigC(c,a,b),c) != bigC(product(c,b),c,bigC(c,a,b))
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,a,b)),bigC(product(c,b),bigC(c,a,b),c)) )],[refute_0_10173,refute_0_10174]) ).

cnf(refute_0_10176,plain,
    product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,a,b),c),bigC(product(c,b),c,bigC(c,a,b))) )],[refute_0_10172,refute_0_10175]) ).

cnf(refute_0_10177,plain,
    ( bigC(product(c,b),c,bigC(c,a,b)) != bigC(product(c,b),c,c)
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),c,bigC(c,a,b))
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))),bind(Y,$fot(bigC(product(c,b),c,bigC(c,a,b)))),bind(Z,$fot(bigC(product(c,b),c,c)))]]) ).

cnf(refute_0_10178,plain,
    ( bigC(product(c,b),c,bigC(c,a,b)) != bigC(product(c,b),c,c)
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,a,b)),bigC(product(c,b),c,bigC(c,a,b))) )],[refute_0_10176,refute_0_10177]) ).

cnf(refute_0_10179,plain,
    product(product(c,bigC(c,a,b)),bigC(b,a,b)) = bigC(product(c,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,bigC(c,a,b)),bigC(product(c,b),c,c)) )],[refute_0_10171,refute_0_10178]) ).

cnf(refute_0_10180,plain,
    product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) = product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_10181,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),c,c)
    | product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) = product(bigC(product(c,b),c,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) ),[1,0],$fot(bigC(product(c,b),c,c))]]) ).

cnf(refute_0_10182,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),c,c)
    | product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) = product(bigC(product(c,b),c,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) )],[refute_0_10180,refute_0_10181]) ).

cnf(refute_0_10183,plain,
    product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) = product(bigC(product(c,b),c,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,a,b)),bigC(product(c,b),c,c)) )],[refute_0_10179,refute_0_10182]) ).

cnf(refute_0_10184,plain,
    ( product(product(c,B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)) != product(bigC(product(c,b),c,c),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(bigC(product(c,b),c,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,B),product(bigC(b,a,b),D)),product(bigC(product(c,b),c,c),product(B,D))) ),[0],$fot(product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_10185,plain,
    ( product(product(c,B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(bigC(product(c,b),c,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D)),product(bigC(product(c,b),c,c),product(B,D))) )],[refute_0_10183,refute_0_10184]) ).

cnf(refute_0_10186,plain,
    ( product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)) != product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(bigC(product(c,b),c,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(b,a,b),D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) )],[refute_0_10167,refute_0_10185]) ).

cnf(refute_0_10187,plain,
    product(product(c,B),product(bigC(b,a,b),D)) = product(bigC(product(c,b),c,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(c,a,b)),B),product(bigC(b,a,b),D)),product(product(product(c,bigC(c,a,b)),bigC(b,a,b)),product(B,D))) )],[refute_0_10157,refute_0_10186]) ).

cnf(refute_0_10188,plain,
    bigC(product(c,b),c,c) = bigC(c,c,product(c,b)),
    inference(subst,[],[refute_0_1473:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_10189,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | bigC(product(c,b),c,c) != bigC(c,c,product(c,b))
    | bigC(product(c,b),c,c) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),c,c))),bind(Y,$fot(bigC(c,c,product(c,b)))),bind(Z,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_10190,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | bigC(product(c,b),c,c) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,c),bigC(c,c,product(c,b))) )],[refute_0_10188,refute_0_10189]) ).

cnf(refute_0_10191,plain,
    bigC(product(c,b),c,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_3192,refute_0_10190]) ).

cnf(refute_0_10192,plain,
    ( bigC(product(c,b),c,c) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(product(c,b),c,c) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),c,c))),bind(Y,$fot(product(c,bigC(c,b,c)))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_10193,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(product(c,b),c,c) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,c),product(c,bigC(c,b,c))) )],[refute_0_10191,refute_0_10192]) ).

cnf(refute_0_10194,plain,
    bigC(product(c,b),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_2857,refute_0_10193]) ).

cnf(refute_0_10195,plain,
    product(bigC(product(c,b),c,c),product(B,D)) = product(bigC(product(c,b),c,c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),c,c),product(B,D)))]]) ).

cnf(refute_0_10196,plain,
    ( bigC(product(c,b),c,c) != product(c,bigC(b,a,b))
    | product(bigC(product(c,b),c,c),product(B,D)) != product(bigC(product(c,b),c,c),product(B,D))
    | product(bigC(product(c,b),c,c),product(B,D)) = product(product(c,bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),c,c),product(B,D)),product(bigC(product(c,b),c,c),product(B,D))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_10197,plain,
    ( bigC(product(c,b),c,c) != product(c,bigC(b,a,b))
    | product(bigC(product(c,b),c,c),product(B,D)) = product(product(c,bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),c,c),product(B,D)),product(bigC(product(c,b),c,c),product(B,D))) )],[refute_0_10195,refute_0_10196]) ).

cnf(refute_0_10198,plain,
    product(bigC(product(c,b),c,c),product(B,D)) = product(product(c,bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,c),product(c,bigC(b,a,b))) )],[refute_0_10194,refute_0_10197]) ).

cnf(refute_0_10199,plain,
    ( product(bigC(product(c,b),c,c),product(B,D)) != product(product(c,bigC(b,a,b)),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) != product(bigC(product(c,b),c,c),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(product(c,bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(bigC(b,a,b),D)),product(bigC(product(c,b),c,c),product(B,D))) ),[1],$fot(product(product(c,bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_10200,plain,
    ( product(product(c,B),product(bigC(b,a,b),D)) != product(bigC(product(c,b),c,c),product(B,D))
    | product(product(c,B),product(bigC(b,a,b),D)) = product(product(c,bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),c,c),product(B,D)),product(product(c,bigC(b,a,b)),product(B,D))) )],[refute_0_10198,refute_0_10199]) ).

cnf(refute_0_10201,plain,
    product(product(c,B),product(bigC(b,a,b),D)) = product(product(c,bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(b,a,b),D)),product(bigC(product(c,b),c,c),product(B,D))) )],[refute_0_10187,refute_0_10200]) ).

cnf(refute_0_10202,plain,
    product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) = product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)),
    inference(subst,[],[refute_0_10201:[bind(B,$fot(bigC(b,b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_10203,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)) != bigC(c,bigC(b,a,b),bigC(b,b,c))
    | product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) != product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c))
    | product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)))),bind(Y,$fot(product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)))),bind(Z,$fot(bigC(c,bigC(b,a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_10204,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)) != bigC(c,bigC(b,a,b),bigC(b,b,c))
    | product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)),product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c))) )],[refute_0_10202,refute_0_10203]) ).

cnf(refute_0_10205,plain,
    product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(b,b,c),c)),bigC(c,bigC(b,a,b),bigC(b,b,c))) )],[refute_0_9995,refute_0_10204]) ).

cnf(refute_0_10206,plain,
    product(product(c,product(c,b)),bigC(b,a,b)) = bigC(c,product(c,b),product(c,b)),
    inference(subst,[],[refute_0_1725:[bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_10207,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),bigC(b,a,b)) != bigC(c,product(c,b),product(c,b))
    | product(product(c,product(c,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),bigC(b,a,b)))),bind(Y,$fot(bigC(c,product(c,b),product(c,b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_10208,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_10206,refute_0_10207]) ).

cnf(refute_0_10209,plain,
    product(product(c,product(c,b)),bigC(b,a,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_6900,refute_0_10208]) ).

cnf(refute_0_10210,plain,
    product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10211,plain,
    ( product(product(a,product(b,c)),bigC(b,a,b)) != product(c,product(c,b))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) != product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10212,plain,
    ( product(product(a,product(b,c)),bigC(b,a,b)) != product(c,product(c,b))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10210,refute_0_10211]) ).

cnf(refute_0_10213,plain,
    product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(c,product(c,b))) )],[refute_0_7699,refute_0_10212]) ).

cnf(refute_0_10214,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,product(c,b)),bigC(b,a,b))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)))),bind(Y,$fot(product(product(c,product(c,b)),bigC(b,a,b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_10215,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_10213,refute_0_10214]) ).

cnf(refute_0_10216,plain,
    product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10209,refute_0_10215]) ).

cnf(refute_0_10217,plain,
    product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_10218,plain,
    ( product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) != product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_10219,plain,
    ( product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c))) )],[refute_0_10217,refute_0_10218]) ).

cnf(refute_0_10220,plain,
    product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10216,refute_0_10219]) ).

cnf(refute_0_10221,plain,
    ( product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) != bigC(c,bigC(b,a,b),bigC(b,b,c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) != product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)))),bind(Z,$fot(bigC(c,bigC(b,a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_10222,plain,
    ( product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)) != bigC(c,bigC(b,a,b),bigC(b,b,c))
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c))) )],[refute_0_10220,refute_0_10221]) ).

cnf(refute_0_10223,plain,
    product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) = bigC(c,bigC(b,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(bigC(b,a,b),c)),bigC(c,bigC(b,a,b),bigC(b,b,c))) )],[refute_0_10205,refute_0_10222]) ).

cnf(refute_0_10224,plain,
    ( product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) != bigC(b,a,b)
    | product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) != bigC(c,bigC(b,a,b),bigC(b,b,c))
    | bigC(c,bigC(b,a,b),bigC(b,b,c)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),bigC(b,a,b)) ),[0],$fot(bigC(c,bigC(b,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_10225,plain,
    ( product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) != bigC(b,a,b)
    | bigC(c,bigC(b,a,b),bigC(b,b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),bigC(c,bigC(b,a,b),bigC(b,b,c))) )],[refute_0_10223,refute_0_10224]) ).

cnf(refute_0_10226,plain,
    bigC(c,bigC(b,a,b),bigC(b,b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,product(b,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),c)),bigC(b,a,b)) )],[refute_0_9994,refute_0_10225]) ).

cnf(refute_0_10227,plain,
    ( bigC(c,bigC(b,a,b),bigC(b,b,c)) != bigC(b,a,b)
    | difference(product(c,bigC(b,a,b)),bigC(c,bigC(b,a,b),bigC(b,b,c))) != product(bigC(b,b,c),c)
    | difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(c,bigC(b,a,b),bigC(b,b,c))),product(bigC(b,b,c),c)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10228,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(c,bigC(b,a,b),bigC(b,b,c))) != product(bigC(b,b,c),c)
    | difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),bigC(b,b,c)),bigC(b,a,b)) )],[refute_0_10226,refute_0_10227]) ).

cnf(refute_0_10229,plain,
    difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(c,bigC(b,a,b),bigC(b,b,c))),product(bigC(b,b,c),c)) )],[refute_0_9986,refute_0_10228]) ).

cnf(refute_0_10230,plain,
    quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))))]]) ).

cnf(refute_0_10231,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,b,c),c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_10232,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,b,c),c)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c)))) )],[refute_0_10230,refute_0_10231]) ).

cnf(refute_0_10233,plain,
    quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) = quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,b,c),c)) )],[refute_0_10229,refute_0_10232]) ).

cnf(refute_0_10234,plain,
    ( quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != bigC(b,a,b)
    | quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c)))
    | quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),bigC(b,a,b)) ),[0],$fot(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))))]]) ).

cnf(refute_0_10235,plain,
    ( quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))) != bigC(b,a,b)
    | quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c)))) )],[refute_0_10233,refute_0_10234]) ).

cnf(refute_0_10236,plain,
    quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),bigC(product(b,a),c,product(b,c))),bigC(b,a,b)) )],[refute_0_9985,refute_0_10235]) ).

cnf(refute_0_10237,plain,
    ( difference(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),product(bigC(b,b,c),c)) != bigC(product(b,a),c,product(b,c))
    | quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))) != bigC(b,a,b)
    | difference(bigC(b,a,b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),product(bigC(b,b,c),c)),bigC(product(b,a),c,product(b,c))) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10238,plain,
    ( difference(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),product(bigC(b,b,c),c)) != bigC(product(b,a),c,product(b,c))
    | difference(bigC(b,a,b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),bigC(b,a,b)) )],[refute_0_10236,refute_0_10237]) ).

cnf(refute_0_10239,plain,
    difference(bigC(b,a,b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(quotient(product(bigC(b,b,c),c),bigC(product(b,a),c,product(b,c))),product(bigC(b,b,c),c)),bigC(product(b,a),c,product(b,c))) )],[refute_0_9928,refute_0_10238]) ).

cnf(refute_0_10240,plain,
    product(product(b,a),b) = bigC(b,a,b),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(b)),bind(X_18,$fot(a))]]) ).

cnf(refute_0_10241,plain,
    difference(product(product(b,a),b),product(bigC(b,b,c),c)) = difference(product(product(b,a),b),product(bigC(b,b,c),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),b),product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_10242,plain,
    ( difference(product(product(b,a),b),product(bigC(b,b,c),c)) != difference(product(product(b,a),b),product(bigC(b,b,c),c))
    | product(product(b,a),b) != bigC(b,a,b)
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = difference(bigC(b,a,b),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),difference(product(product(b,a),b),product(bigC(b,b,c),c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10243,plain,
    ( product(product(b,a),b) != bigC(b,a,b)
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = difference(bigC(b,a,b),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),difference(product(product(b,a),b),product(bigC(b,b,c),c))) )],[refute_0_10241,refute_0_10242]) ).

cnf(refute_0_10244,plain,
    difference(product(product(b,a),b),product(bigC(b,b,c),c)) = difference(bigC(b,a,b),product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,a),b),bigC(b,a,b)) )],[refute_0_10240,refute_0_10243]) ).

cnf(refute_0_10245,plain,
    ( difference(bigC(b,a,b),product(bigC(b,b,c),c)) != bigC(product(b,a),c,product(b,c))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) != difference(bigC(b,a,b),product(bigC(b,b,c),c))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(b,a),b),product(bigC(b,b,c),c)))),bind(Y,$fot(difference(bigC(b,a,b),product(bigC(b,b,c),c)))),bind(Z,$fot(bigC(product(b,a),c,product(b,c))))]]) ).

cnf(refute_0_10246,plain,
    ( difference(bigC(b,a,b),product(bigC(b,b,c),c)) != bigC(product(b,a),c,product(b,c))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),difference(bigC(b,a,b),product(bigC(b,b,c),c))) )],[refute_0_10244,refute_0_10245]) ).

cnf(refute_0_10247,plain,
    difference(product(product(b,a),b),product(bigC(b,b,c),c)) = bigC(product(b,a),c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(bigC(b,b,c),c)),bigC(product(b,a),c,product(b,c))) )],[refute_0_10239,refute_0_10246]) ).

cnf(refute_0_10248,plain,
    ( difference(product(product(b,a),b),product(bigC(b,b,c),c)) != bigC(product(b,a),c,product(b,c))
    | difference(product(product(b,a),b),product(bigC(b,b,c),c)) != product(c,product(b,a))
    | bigC(product(b,a),c,product(b,c)) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),product(c,product(b,a))) ),[0],$fot(bigC(product(b,a),c,product(b,c)))]]) ).

cnf(refute_0_10249,plain,
    ( difference(product(product(b,a),b),product(bigC(b,b,c),c)) != product(c,product(b,a))
    | bigC(product(b,a),c,product(b,c)) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),bigC(product(b,a),c,product(b,c))) )],[refute_0_10247,refute_0_10248]) ).

cnf(refute_0_10250,plain,
    product(quotient(product(b,product(a,c)),product(b,a)),product(b,a)) = product(b,product(a,c)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(b,product(a,c)))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_10251,plain,
    ( product(quotient(product(b,product(a,c)),product(b,a)),product(b,a)) != product(b,product(a,c))
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | product(c,product(b,a)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,product(a,c)),product(b,a)),product(b,a)),product(b,product(a,c))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_10252,plain,
    ( product(quotient(product(b,product(a,c)),product(b,a)),product(b,a)) != product(b,product(a,c))
    | product(c,product(b,a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_10251]) ).

cnf(refute_0_10253,plain,
    product(c,product(b,a)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,product(a,c)),product(b,a)),product(b,a)),product(b,product(a,c))) )],[refute_0_10250,refute_0_10252]) ).

cnf(refute_0_10254,plain,
    ( bigC(product(b,a),c,product(b,c)) != product(c,product(b,a))
    | product(c,product(b,a)) != product(b,product(a,c))
    | bigC(product(b,a),c,product(b,c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),c,product(b,c)),product(b,product(a,c))) ),[0],$fot(product(c,product(b,a)))]]) ).

cnf(refute_0_10255,plain,
    ( bigC(product(b,a),c,product(b,c)) != product(c,product(b,a))
    | bigC(product(b,a),c,product(b,c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_10253,refute_0_10254]) ).

cnf(refute_0_10256,plain,
    ( difference(product(product(b,a),b),product(bigC(b,b,c),c)) != product(c,product(b,a))
    | bigC(product(b,a),c,product(b,c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(b,c)),product(c,product(b,a))) )],[refute_0_10249,refute_0_10255]) ).

cnf(refute_0_10257,plain,
    bigC(product(b,a),c,product(b,c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),b),product(bigC(b,b,c),c)),product(c,product(b,a))) )],[refute_0_9927,refute_0_10256]) ).

cnf(refute_0_10258,plain,
    ( bigC(product(b,a),c,product(b,c)) != product(b,product(a,c))
    | difference(product(product(b,a),c),bigC(product(b,a),c,product(b,c))) != product(product(b,c),product(b,a))
    | difference(product(product(b,a),c),product(b,product(a,c))) = product(product(b,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),bigC(product(b,a),c,product(b,c))),product(product(b,c),product(b,a))) ),[0,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_10259,plain,
    ( difference(product(product(b,a),c),bigC(product(b,a),c,product(b,c))) != product(product(b,c),product(b,a))
    | difference(product(product(b,a),c),product(b,product(a,c))) = product(product(b,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(b,c)),product(b,product(a,c))) )],[refute_0_10257,refute_0_10258]) ).

cnf(refute_0_10260,plain,
    difference(product(product(b,a),c),product(b,product(a,c))) = product(product(b,c),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),bigC(product(b,a),c,product(b,c))),product(product(b,c),product(b,a))) )],[refute_0_9850,refute_0_10259]) ).

cnf(refute_0_10261,plain,
    ( difference(product(product(b,a),c),product(b,product(a,c))) != product(product(b,c),product(b,a))
    | product(product(b,c),product(b,a)) != product(b,product(c,a))
    | difference(product(product(b,a),c),product(b,product(a,c))) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,a),c),product(b,product(a,c))),product(b,product(c,a))) ),[0],$fot(product(product(b,c),product(b,a)))]]) ).

cnf(refute_0_10262,plain,
    ( difference(product(product(b,a),c),product(b,product(a,c))) != product(product(b,c),product(b,a))
    | difference(product(product(b,a),c),product(b,product(a,c))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,a)),product(b,product(c,a))) )],[refute_0_5542,refute_0_10261]) ).

cnf(refute_0_10263,plain,
    difference(product(product(b,a),c),product(b,product(a,c))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(b,product(a,c))),product(product(b,c),product(b,a))) )],[refute_0_10260,refute_0_10262]) ).

cnf(refute_0_10264,plain,
    ( difference(product(product(b,a),c),product(b,product(a,c))) != product(b,product(c,a))
    | quotient(product(b,product(a,c)),difference(product(product(b,a),c),product(b,product(a,c)))) != product(product(b,a),c)
    | quotient(product(b,product(a,c)),product(b,product(c,a))) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),difference(product(product(b,a),c),product(b,product(a,c)))),product(product(b,a),c)) ),[0,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_10265,plain,
    ( quotient(product(b,product(a,c)),difference(product(product(b,a),c),product(b,product(a,c)))) != product(product(b,a),c)
    | quotient(product(b,product(a,c)),product(b,product(c,a))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(b,product(a,c))),product(b,product(c,a))) )],[refute_0_10263,refute_0_10264]) ).

cnf(refute_0_10266,plain,
    quotient(product(b,product(a,c)),product(b,product(c,a))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),difference(product(product(b,a),c),product(b,product(a,c)))),product(product(b,a),c)) )],[refute_0_9849,refute_0_10265]) ).

cnf(refute_0_10267,plain,
    ( bigC(quotient(product(b,product(a,c)),product(b,product(c,a))),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | quotient(product(b,product(a,c)),product(b,product(c,a))) != product(product(b,a),c)
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,product(a,c)),product(b,product(c,a))),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) ),[0,0],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_10268,plain,
    ( bigC(quotient(product(b,product(a,c)),product(b,product(c,a))),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,product(c,a))),product(product(b,a),c)) )],[refute_0_10266,refute_0_10267]) ).

cnf(refute_0_10269,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,product(a,c)),product(b,product(c,a))),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) )],[refute_0_9848,refute_0_10268]) ).

cnf(refute_0_10270,plain,
    product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) = product(product(b,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_26,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10271,plain,
    product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)))]]) ).

cnf(refute_0_10272,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) != product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c))
    | product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)),product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_10273,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)),product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c))) )],[refute_0_10271,refute_0_10272]) ).

cnf(refute_0_10274,plain,
    product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(a,a,b))) )],[refute_0_2389,refute_0_10273]) ).

cnf(refute_0_10275,plain,
    product(b,bigC(a,b,a)) = product(b,bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(b,bigC(a,b,a)))]]) ).

cnf(refute_0_10276,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(b,bigC(a,b,a)) != product(b,bigC(a,b,a))
    | product(b,bigC(a,b,a)) = product(b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(a,b,a)),product(b,bigC(a,b,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10277,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(b,bigC(a,b,a)) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,a)),product(b,bigC(a,b,a))) )],[refute_0_10275,refute_0_10276]) ).

cnf(refute_0_10278,plain,
    product(b,bigC(a,b,a)) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_1877,refute_0_10277]) ).

cnf(refute_0_10279,plain,
    product(bigC(b,a,b),product(b,a)) = product(b,bigC(a,b,a)),
    inference(subst,[],[refute_0_2014:[bind(X_22,$fot(a)),bind(X_74,$fot(b))]]) ).

cnf(refute_0_10280,plain,
    bigC(product(b,a),b,product(b,a)) = product(bigC(b,a,b),product(b,a)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(b)),bind(X_25,$fot(b)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10281,plain,
    ( bigC(product(b,a),b,product(b,a)) != product(bigC(b,a,b),product(b,a))
    | product(bigC(b,a,b),product(b,a)) != product(b,bigC(a,b,a))
    | bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,a),b,product(b,a)))),bind(Y,$fot(product(bigC(b,a,b),product(b,a)))),bind(Z,$fot(product(b,bigC(a,b,a))))]]) ).

cnf(refute_0_10282,plain,
    ( product(bigC(b,a,b),product(b,a)) != product(b,bigC(a,b,a))
    | bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),b,product(b,a)),product(bigC(b,a,b),product(b,a))) )],[refute_0_10280,refute_0_10281]) ).

cnf(refute_0_10283,plain,
    bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,a)),product(b,bigC(a,b,a))) )],[refute_0_10279,refute_0_10282]) ).

cnf(refute_0_10284,plain,
    ( bigC(product(b,a),b,product(b,a)) != product(b,bigC(a,b,a))
    | product(b,bigC(a,b,a)) != product(b,bigC(a,a,b))
    | bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,a),b,product(b,a)))),bind(Y,$fot(product(b,bigC(a,b,a)))),bind(Z,$fot(product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_10285,plain,
    ( product(b,bigC(a,b,a)) != product(b,bigC(a,a,b))
    | bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),b,product(b,a)),product(b,bigC(a,b,a))) )],[refute_0_10283,refute_0_10284]) ).

cnf(refute_0_10286,plain,
    bigC(product(b,a),b,product(b,a)) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,a)),product(b,bigC(a,a,b))) )],[refute_0_10278,refute_0_10285]) ).

cnf(refute_0_10287,plain,
    product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)))]]) ).

cnf(refute_0_10288,plain,
    ( bigC(product(b,a),b,product(b,a)) != product(b,bigC(a,a,b))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) != product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c))) ),[1,0],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_10289,plain,
    ( bigC(product(b,a),b,product(b,a)) != product(b,bigC(a,a,b))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c))) )],[refute_0_10287,refute_0_10288]) ).

cnf(refute_0_10290,plain,
    product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),b,product(b,a)),product(b,bigC(a,a,b))) )],[refute_0_10286,refute_0_10289]) ).

cnf(refute_0_10291,plain,
    ( product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) != product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c))
    | product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) != product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)))),bind(Y,$fot(product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)))),bind(Z,$fot(product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_10292,plain,
    ( product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)) != product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c))) )],[refute_0_10290,refute_0_10291]) ).

cnf(refute_0_10293,plain,
    product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,b)),bigC(c,product(c,a),c)),product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))) )],[refute_0_10274,refute_0_10292]) ).

cnf(refute_0_10294,plain,
    ( product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) != product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))
    | product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) != product(product(b,c),bigC(a,a,b))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)))),bind(Y,$fot(product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_10295,plain,
    ( product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))) != product(product(b,c),bigC(a,a,b))
    | product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b)))) )],[refute_0_10293,refute_0_10294]) ).

cnf(refute_0_10296,plain,
    product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,b)),product(c,bigC(a,a,b))),product(product(b,c),bigC(a,a,b))) )],[refute_0_10270,refute_0_10295]) ).

cnf(refute_0_10297,plain,
    product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) = product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(product(b,a))),bind(X_24,$fot(c)),bind(X_25,$fot(b)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_10298,plain,
    ( product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) != product(product(b,c),bigC(a,a,b))
    | product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) != product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c))
    | product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)))),bind(Y,$fot(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_10299,plain,
    ( product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)) != product(product(b,c),bigC(a,a,b))
    | product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)),product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c))) )],[refute_0_10297,refute_0_10298]) ).

cnf(refute_0_10300,plain,
    product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),b,product(b,a)),bigC(c,product(c,a),c)),product(product(b,c),bigC(a,a,b))) )],[refute_0_10296,refute_0_10299]) ).

cnf(refute_0_10301,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) = product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(product(b,product(c,a)))),bind(X_25,$fot(product(b,a))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_10302,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) != product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c))
    | product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) != product(product(b,c),bigC(a,a,b))
    | bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)))),bind(Y,$fot(product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_10303,plain,
    ( product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)) != product(product(b,c),bigC(a,a,b))
    | bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)),product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c))) )],[refute_0_10301,refute_0_10302]) ).

cnf(refute_0_10304,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,a),c,product(b,a)),product(product(b,product(c,a)),c)),product(product(b,c),bigC(a,a,b))) )],[refute_0_10300,refute_0_10303]) ).

cnf(refute_0_10305,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),
    introduced(tautology,[refl,[$fot(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))))]]) ).

cnf(refute_0_10306,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | quotient(product(b,product(a,c)),product(b,product(c,a))) != product(product(b,a),c)
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a))))) ),[1,2],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_10307,plain,
    ( quotient(product(b,product(a,c)),product(b,product(c,a))) != product(product(b,a),c)
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a))))) )],[refute_0_10305,refute_0_10306]) ).

cnf(refute_0_10308,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,product(c,a))),product(product(b,a),c)) )],[refute_0_10266,refute_0_10307]) ).

cnf(refute_0_10309,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) != product(product(b,c),bigC(a,a,b))
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c))
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))))),bind(Y,$fot(bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_10310,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)) != product(product(b,c),bigC(a,a,b))
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c))) )],[refute_0_10308,refute_0_10309]) ).

cnf(refute_0_10311,plain,
    bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),product(product(b,a),c)),product(product(b,c),bigC(a,a,b))) )],[refute_0_10304,refute_0_10310]) ).

cnf(refute_0_10312,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,c),bigC(a,a,b))
    | bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | product(product(b,c),bigC(a,a,b)) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) ),[0],$fot(product(product(b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_10313,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | product(product(b,c),bigC(a,a,b)) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,c),bigC(a,a,b))) )],[refute_0_10311,refute_0_10312]) ).

cnf(refute_0_10314,plain,
    product(product(b,a),product(c,a)) = product(product(b,c),a),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10315,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_10316,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_10317,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_10315,refute_0_10316]) ).

cnf(refute_0_10318,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_10314,refute_0_10317]) ).

cnf(refute_0_10319,plain,
    product(product(b,product(a,c)),product(X_25,c)) = product(product(product(b,product(a,c)),X_25),product(product(b,product(a,c)),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(b,product(a,c)))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_10320,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(b,product(a,c)),product(X_25,c)) != product(product(product(b,product(a,c)),X_25),product(product(b,product(a,c)),c))
    | product(product(b,product(a,c)),product(X_25,c)) = product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),product(X_25,c)),product(product(product(b,product(a,c)),X_25),product(product(b,product(a,c)),c))) ),[1,1],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_10321,plain,
    ( product(product(b,product(a,c)),product(X_25,c)) != product(product(product(b,product(a,c)),X_25),product(product(b,product(a,c)),c))
    | product(product(b,product(a,c)),product(X_25,c)) = product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),product(c,product(c,product(c,a)))) )],[refute_0_3554,refute_0_10320]) ).

cnf(refute_0_10322,plain,
    product(product(b,product(a,c)),product(X_25,c)) = product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_25,c)),product(product(product(b,product(a,c)),X_25),product(product(b,product(a,c)),c))) )],[refute_0_10319,refute_0_10321]) ).

cnf(refute_0_10323,plain,
    product(X_25,product(product(c,a),product(c,a))) = product(X_25,product(product(c,a),product(c,a))),
    introduced(tautology,[refl,[$fot(product(X_25,product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_10324,plain,
    ( product(X_25,product(product(c,a),product(c,a))) != product(X_25,product(product(c,a),product(c,a)))
    | product(product(c,a),product(c,a)) != product(c,a)
    | product(X_25,product(product(c,a),product(c,a))) = product(X_25,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_25,product(product(c,a),product(c,a))),product(X_25,product(product(c,a),product(c,a)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_10325,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | product(X_25,product(product(c,a),product(c,a))) = product(X_25,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(X_25,product(product(c,a),product(c,a))),product(X_25,product(product(c,a),product(c,a)))) )],[refute_0_10323,refute_0_10324]) ).

cnf(refute_0_10326,plain,
    product(X_25,product(product(c,a),product(c,a))) = product(X_25,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,a)) )],[refute_0_1580,refute_0_10325]) ).

cnf(refute_0_10327,plain,
    product(c,product(X_25,product(product(c,a),product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(c,product(X_25,product(product(c,a),product(c,a)))))]]) ).

cnf(refute_0_10328,plain,
    ( product(X_25,product(product(c,a),product(c,a))) != product(X_25,product(c,a))
    | product(c,product(X_25,product(product(c,a),product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(c,product(X_25,product(product(c,a),product(c,a)))) = product(c,product(X_25,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(product(c,a),product(c,a)))),product(c,product(X_25,product(product(c,a),product(c,a))))) ),[1,1],$fot(product(X_25,product(c,a)))]]) ).

cnf(refute_0_10329,plain,
    ( product(X_25,product(product(c,a),product(c,a))) != product(X_25,product(c,a))
    | product(c,product(X_25,product(product(c,a),product(c,a)))) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(product(c,a),product(c,a)))),product(c,product(X_25,product(product(c,a),product(c,a))))) )],[refute_0_10327,refute_0_10328]) ).

cnf(refute_0_10330,plain,
    product(c,product(X_25,product(product(c,a),product(c,a)))) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(X_25,product(product(c,a),product(c,a))),product(X_25,product(c,a))) )],[refute_0_10326,refute_0_10329]) ).

cnf(refute_0_10331,plain,
    product(product(c,X_25),product(c,product(product(c,a),product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_26,$fot(product(product(c,a),product(c,a))))]]) ).

cnf(refute_0_10332,plain,
    product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) = product(product(c,X_25),product(c,product(product(c,a),product(c,a)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(C,$fot(X_25)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a))),bind(X_67,$fot(product(c,a)))]]) ).

cnf(refute_0_10333,plain,
    ( product(product(c,X_25),product(c,product(product(c,a),product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) != product(product(c,X_25),product(c,product(product(c,a),product(c,a))))
    | product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))))),bind(Y,$fot(product(product(c,X_25),product(c,product(product(c,a),product(c,a)))))),bind(Z,$fot(product(c,product(X_25,product(product(c,a),product(c,a))))))]]) ).

cnf(refute_0_10334,plain,
    ( product(product(c,X_25),product(c,product(product(c,a),product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))),product(product(c,X_25),product(c,product(product(c,a),product(c,a))))) )],[refute_0_10332,refute_0_10333]) ).

cnf(refute_0_10335,plain,
    product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(c,product(product(c,a),product(c,a)))),product(c,product(X_25,product(product(c,a),product(c,a))))) )],[refute_0_10331,refute_0_10334]) ).

cnf(refute_0_10336,plain,
    product(product(product(b,product(a,c)),B),product(c,D)) = product(product(product(b,product(a,c)),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(b,product(a,c)))),bind(C,$fot(c))]]) ).

cnf(refute_0_10337,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(product(b,product(a,c)),B),product(c,D)) != product(product(product(b,product(a,c)),c),product(B,D))
    | product(product(product(b,product(a,c)),B),product(c,D)) = product(product(c,product(c,product(c,a))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(c,D)),product(product(product(b,product(a,c)),c),product(B,D))) ),[1,0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_10338,plain,
    ( product(product(product(b,product(a,c)),B),product(c,D)) != product(product(product(b,product(a,c)),c),product(B,D))
    | product(product(product(b,product(a,c)),B),product(c,D)) = product(product(c,product(c,product(c,a))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),product(c,product(c,product(c,a)))) )],[refute_0_3554,refute_0_10337]) ).

cnf(refute_0_10339,plain,
    product(product(product(b,product(a,c)),B),product(c,D)) = product(product(c,product(c,product(c,a))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(c,D)),product(product(product(b,product(a,c)),c),product(B,D))) )],[refute_0_10336,refute_0_10338]) ).

cnf(refute_0_10340,plain,
    product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))),
    inference(subst,[],[refute_0_10339:[bind(B,$fot(X_25)),bind(D,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_10341,plain,
    ( product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) != product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a))))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))))),bind(Y,$fot(product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))))),bind(Z,$fot(product(c,product(X_25,product(product(c,a),product(c,a))))))]]) ).

cnf(refute_0_10342,plain,
    ( product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))),product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a))))) )],[refute_0_10340,refute_0_10341]) ).

cnf(refute_0_10343,plain,
    product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(product(c,a),product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),product(X_25,product(c,product(c,a)))),product(c,product(X_25,product(product(c,a),product(c,a))))) )],[refute_0_10335,refute_0_10342]) ).

cnf(refute_0_10344,plain,
    ( product(c,product(X_25,product(product(c,a),product(c,a)))) != product(c,product(X_25,product(c,a)))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) != product(c,product(X_25,product(product(c,a),product(c,a))))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))))),bind(Y,$fot(product(c,product(X_25,product(product(c,a),product(c,a)))))),bind(Z,$fot(product(c,product(X_25,product(c,a)))))]]) ).

cnf(refute_0_10345,plain,
    ( product(c,product(X_25,product(product(c,a),product(c,a)))) != product(c,product(X_25,product(c,a)))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))),product(c,product(X_25,product(product(c,a),product(c,a))))) )],[refute_0_10343,refute_0_10344]) ).

cnf(refute_0_10346,plain,
    product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(product(c,a),product(c,a)))),product(c,product(X_25,product(c,a)))) )],[refute_0_10330,refute_0_10345]) ).

cnf(refute_0_10347,plain,
    ( product(product(b,product(a,c)),product(X_25,c)) != product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a))))
    | product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))) != product(c,product(X_25,product(c,a)))
    | product(product(b,product(a,c)),product(X_25,c)) = product(c,product(X_25,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,product(a,c)),product(X_25,c)),product(c,product(X_25,product(c,a)))) ),[0],$fot(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_10348,plain,
    ( product(product(b,product(a,c)),product(X_25,c)) != product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a))))
    | product(product(b,product(a,c)),product(X_25,c)) = product(c,product(X_25,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a)))),product(c,product(X_25,product(c,a)))) )],[refute_0_10346,refute_0_10347]) ).

cnf(refute_0_10349,plain,
    product(product(b,product(a,c)),product(X_25,c)) = product(c,product(X_25,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_25,c)),product(product(product(b,product(a,c)),X_25),product(c,product(c,product(c,a))))) )],[refute_0_10322,refute_0_10348]) ).

cnf(refute_0_10350,plain,
    product(product(b,product(a,c)),product(product(b,a),c)) = product(c,product(product(b,a),product(c,a))),
    inference(subst,[],[refute_0_10349:[bind(X_25,$fot(product(b,a)))]]) ).

cnf(refute_0_10351,plain,
    ( product(c,product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),product(product(b,a),c)) != product(c,product(product(b,a),product(c,a)))
    | product(product(b,product(a,c)),product(product(b,a),c)) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),product(product(b,a),c)))),bind(Y,$fot(product(c,product(product(b,a),product(c,a))))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_10352,plain,
    ( product(c,product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),product(product(b,a),c)) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,a),c)),product(c,product(product(b,a),product(c,a)))) )],[refute_0_10350,refute_0_10351]) ).

cnf(refute_0_10353,plain,
    product(product(b,product(a,c)),product(product(b,a),c)) = 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_10318,refute_0_10352]) ).

cnf(refute_0_10354,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))))]]) ).

cnf(refute_0_10355,plain,
    ( product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | quotient(product(b,product(a,c)),product(b,product(c,a))) != product(product(b,a),c)
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),product(product(b,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) ),[1,1],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_10356,plain,
    ( quotient(product(b,product(a,c)),product(b,product(c,a))) != product(product(b,a),c)
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),product(product(b,a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) )],[refute_0_10354,refute_0_10355]) ).

cnf(refute_0_10357,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(product(b,product(a,c)),product(product(b,a),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,product(c,a))),product(product(b,a),c)) )],[refute_0_10266,refute_0_10356]) ).

cnf(refute_0_10358,plain,
    ( product(product(b,product(a,c)),product(product(b,a),c)) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),product(product(b,a),c))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))))),bind(Y,$fot(product(product(b,product(a,c)),product(product(b,a),c)))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_10359,plain,
    ( product(product(b,product(a,c)),product(product(b,a),c)) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),product(product(b,a),c))) )],[refute_0_10357,refute_0_10358]) ).

cnf(refute_0_10360,plain,
    product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,a),c)),product(c,product(product(b,c),a))) )],[refute_0_10353,refute_0_10359]) ).

cnf(refute_0_10361,plain,
    ( product(product(b,c),bigC(a,a,b)) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(c,product(product(b,c),a))
    | product(product(b,c),bigC(a,a,b)) = product(c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,c),bigC(a,a,b)),product(c,product(product(b,c),a))) ),[0],$fot(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))))]]) ).

cnf(refute_0_10362,plain,
    ( product(product(b,c),bigC(a,a,b)) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | product(product(b,c),bigC(a,a,b)) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(c,product(product(b,c),a))) )],[refute_0_10360,refute_0_10361]) ).

cnf(refute_0_10363,plain,
    ( bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))
    | product(product(b,c),bigC(a,a,b)) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) )],[refute_0_10313,refute_0_10362]) ).

cnf(refute_0_10364,plain,
    product(product(b,c),bigC(a,a,b)) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),c),product(b,product(c,a)),quotient(product(b,product(a,c)),product(b,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,product(a,c)),product(b,product(c,a))))) )],[refute_0_10269,refute_0_10363]) ).

cnf(refute_0_10365,plain,
    ( product(product(b,c),bigC(a,a,b)) != product(c,product(product(b,c),a))
    | product(product(b,c),product(X_25,bigC(a,a,b))) != product(product(product(b,c),X_25),product(product(b,c),bigC(a,a,b)))
    | product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(product(b,c),X_25),product(c,product(product(b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(X_25,bigC(a,a,b))),product(product(product(b,c),X_25),product(product(b,c),bigC(a,a,b)))) ),[1,1],$fot(product(c,product(product(b,c),a)))]]) ).

cnf(refute_0_10366,plain,
    ( product(product(b,c),product(X_25,bigC(a,a,b))) != product(product(product(b,c),X_25),product(product(b,c),bigC(a,a,b)))
    | product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(product(b,c),X_25),product(c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(c,product(product(b,c),a))) )],[refute_0_10364,refute_0_10365]) ).

cnf(refute_0_10367,plain,
    product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(product(b,c),X_25),product(c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(X_25,bigC(a,a,b))),product(product(product(b,c),X_25),product(product(b,c),bigC(a,a,b)))) )],[refute_0_9847,refute_0_10366]) ).

cnf(refute_0_10368,plain,
    product(product(b,product(a,c)),product(X_25,product(product(b,c),a))) = product(product(b,X_25),bigC(a,c,product(b,c))),
    inference(subst,[],[refute_0_1071:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(b,c))),bind(X_23,$fot(b)),bind(X_24,$fot(X_25))]]) ).

cnf(refute_0_10369,plain,
    product(product(product(b,c),B),product(c,D)) = product(product(product(b,c),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(b,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_10370,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | 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)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),B),product(c,D)),product(product(product(b,c),c),product(B,D))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_10371,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(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_10370]) ).

cnf(refute_0_10372,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_10369,refute_0_10371]) ).

cnf(refute_0_10373,plain,
    product(product(product(b,c),X_25),product(c,product(product(b,c),a))) = product(product(b,product(a,c)),product(X_25,product(product(b,c),a))),
    inference(subst,[],[refute_0_10372:[bind(B,$fot(X_25)),bind(D,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_10374,plain,
    ( product(product(b,product(a,c)),product(X_25,product(product(b,c),a))) != product(product(b,X_25),bigC(a,c,product(b,c)))
    | product(product(product(b,c),X_25),product(c,product(product(b,c),a))) != product(product(b,product(a,c)),product(X_25,product(product(b,c),a)))
    | product(product(product(b,c),X_25),product(c,product(product(b,c),a))) = product(product(b,X_25),bigC(a,c,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),X_25),product(c,product(product(b,c),a))))),bind(Y,$fot(product(product(b,product(a,c)),product(X_25,product(product(b,c),a))))),bind(Z,$fot(product(product(b,X_25),bigC(a,c,product(b,c)))))]]) ).

cnf(refute_0_10375,plain,
    ( product(product(b,product(a,c)),product(X_25,product(product(b,c),a))) != product(product(b,X_25),bigC(a,c,product(b,c)))
    | product(product(product(b,c),X_25),product(c,product(product(b,c),a))) = product(product(b,X_25),bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_25),product(c,product(product(b,c),a))),product(product(b,product(a,c)),product(X_25,product(product(b,c),a)))) )],[refute_0_10373,refute_0_10374]) ).

cnf(refute_0_10376,plain,
    product(product(product(b,c),X_25),product(c,product(product(b,c),a))) = product(product(b,X_25),bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_25,product(product(b,c),a))),product(product(b,X_25),bigC(a,c,product(b,c)))) )],[refute_0_10368,refute_0_10375]) ).

cnf(refute_0_10377,plain,
    ( product(product(b,c),product(X_25,bigC(a,a,b))) != product(product(product(b,c),X_25),product(c,product(product(b,c),a)))
    | product(product(product(b,c),X_25),product(c,product(product(b,c),a))) != product(product(b,X_25),bigC(a,c,product(b,c)))
    | product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(b,X_25),bigC(a,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,c),product(X_25,bigC(a,a,b))),product(product(b,X_25),bigC(a,c,product(b,c)))) ),[0],$fot(product(product(product(b,c),X_25),product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_10378,plain,
    ( product(product(b,c),product(X_25,bigC(a,a,b))) != product(product(product(b,c),X_25),product(c,product(product(b,c),a)))
    | product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(b,X_25),bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_25),product(c,product(product(b,c),a))),product(product(b,X_25),bigC(a,c,product(b,c)))) )],[refute_0_10376,refute_0_10377]) ).

cnf(refute_0_10379,plain,
    product(product(b,c),product(X_25,bigC(a,a,b))) = product(product(b,X_25),bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(X_25,bigC(a,a,b))),product(product(product(b,c),X_25),product(c,product(product(b,c),a)))) )],[refute_0_10367,refute_0_10378]) ).

cnf(refute_0_10380,plain,
    product(product(b,c),product(b,bigC(a,a,b))) = product(product(b,b),bigC(a,c,product(b,c))),
    inference(subst,[],[refute_0_10379:[bind(X_25,$fot(b))]]) ).

cnf(refute_0_10381,plain,
    ( product(product(b,b),bigC(a,c,product(b,c))) != product(b,bigC(a,c,product(b,c)))
    | product(product(b,c),product(b,bigC(a,a,b))) != product(product(b,b),bigC(a,c,product(b,c)))
    | product(product(b,c),product(b,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),product(b,bigC(a,a,b))))),bind(Y,$fot(product(product(b,b),bigC(a,c,product(b,c))))),bind(Z,$fot(product(b,bigC(a,c,product(b,c)))))]]) ).

cnf(refute_0_10382,plain,
    ( product(product(b,b),bigC(a,c,product(b,c))) != product(b,bigC(a,c,product(b,c)))
    | product(product(b,c),product(b,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,bigC(a,a,b))),product(product(b,b),bigC(a,c,product(b,c)))) )],[refute_0_10380,refute_0_10381]) ).

cnf(refute_0_10383,plain,
    product(product(b,c),product(b,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(a,c,product(b,c))),product(b,bigC(a,c,product(b,c)))) )],[refute_0_9846,refute_0_10382]) ).

cnf(refute_0_10384,plain,
    product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))))]]) ).

cnf(refute_0_10385,plain,
    ( product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | quotient(product(b,c),product(b,product(b,product(a,c)))) != product(b,bigC(a,a,b))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),product(b,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) ),[1,1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_10386,plain,
    ( quotient(product(b,c),product(b,product(b,product(a,c)))) != product(b,bigC(a,a,b))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) )],[refute_0_10384,refute_0_10385]) ).

cnf(refute_0_10387,plain,
    product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(product(b,c),product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(b,product(a,c)))),product(b,bigC(a,a,b))) )],[refute_0_9777,refute_0_10386]) ).

cnf(refute_0_10388,plain,
    ( product(product(b,c),product(b,bigC(a,a,b))) != product(b,bigC(a,c,product(b,c)))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),product(b,bigC(a,a,b)))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,bigC(a,c,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))))),bind(Y,$fot(product(product(b,c),product(b,bigC(a,a,b))))),bind(Z,$fot(product(b,bigC(a,c,product(b,c)))))]]) ).

cnf(refute_0_10389,plain,
    ( product(product(b,c),product(b,bigC(a,a,b))) != product(b,bigC(a,c,product(b,c)))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),product(b,bigC(a,a,b)))) )],[refute_0_10387,refute_0_10388]) ).

cnf(refute_0_10390,plain,
    product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) = product(b,bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,bigC(a,a,b))),product(b,bigC(a,c,product(b,c)))) )],[refute_0_10383,refute_0_10389]) ).

cnf(refute_0_10391,plain,
    ( product(b,product(c,bigC(a,a,b))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(b,bigC(a,c,product(b,c)))
    | product(b,product(c,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(c,bigC(a,a,b))),product(b,bigC(a,c,product(b,c)))) ),[0],$fot(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))))]]) ).

cnf(refute_0_10392,plain,
    ( product(b,product(c,bigC(a,a,b))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | product(b,product(c,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c))))),product(b,bigC(a,c,product(b,c)))) )],[refute_0_10390,refute_0_10391]) ).

cnf(refute_0_10393,plain,
    ( bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))) != product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))
    | product(b,product(c,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,bigC(a,a,b))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) )],[refute_0_9842,refute_0_10392]) ).

cnf(refute_0_10394,plain,
    product(b,product(c,bigC(a,a,b))) = product(b,bigC(a,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(a,a,b)),product(b,product(b,product(a,c))),quotient(product(b,c),product(b,product(b,product(a,c))))),product(product(b,c),quotient(product(b,c),product(b,product(b,product(a,c)))))) )],[refute_0_9780,refute_0_10393]) ).

cnf(refute_0_10395,plain,
    ( product(b,product(c,bigC(a,a,b))) != product(b,bigC(a,c,product(b,c)))
    | product(b,bigC(a,c,product(b,c))) = product(b,product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,product(c,bigC(a,a,b))))),bind(Y,$fot(product(b,bigC(a,c,product(b,c)))))]]) ).

cnf(refute_0_10396,plain,
    product(b,bigC(a,c,product(b,c))) = product(b,product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(b,product(c,bigC(a,a,b))),product(b,bigC(a,c,product(b,c)))) )],[refute_0_10394,refute_0_10395]) ).

cnf(refute_0_10397,plain,
    ( difference(b,product(b,bigC(a,c,product(b,c)))) != bigC(a,c,product(b,c))
    | product(b,bigC(a,c,product(b,c))) != product(b,product(c,bigC(a,a,b)))
    | difference(b,product(b,product(c,bigC(a,a,b)))) = bigC(a,c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,bigC(a,c,product(b,c)))),bigC(a,c,product(b,c))) ),[0,1],$fot(product(b,product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_10398,plain,
    ( difference(b,product(b,bigC(a,c,product(b,c)))) != bigC(a,c,product(b,c))
    | difference(b,product(b,product(c,bigC(a,a,b)))) = bigC(a,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,c,product(b,c))),product(b,product(c,bigC(a,a,b)))) )],[refute_0_10396,refute_0_10397]) ).

cnf(refute_0_10399,plain,
    difference(b,product(b,product(c,bigC(a,a,b)))) = bigC(a,c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(b,product(b,bigC(a,c,product(b,c)))),bigC(a,c,product(b,c))) )],[refute_0_9714,refute_0_10398]) ).

cnf(refute_0_10400,plain,
    difference(b,product(b,product(c,bigC(a,a,b)))) = product(c,bigC(a,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(b)),bind(B,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_10401,plain,
    ( difference(b,product(b,product(c,bigC(a,a,b)))) != bigC(a,c,product(b,c))
    | difference(b,product(b,product(c,bigC(a,a,b)))) != product(c,bigC(a,a,b))
    | product(c,bigC(a,a,b)) = bigC(a,c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(c,bigC(a,a,b)))),bigC(a,c,product(b,c))) ),[0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_10402,plain,
    ( difference(b,product(b,product(c,bigC(a,a,b)))) != bigC(a,c,product(b,c))
    | product(c,bigC(a,a,b)) = bigC(a,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(c,bigC(a,a,b)))),product(c,bigC(a,a,b))) )],[refute_0_10400,refute_0_10401]) ).

cnf(refute_0_10403,plain,
    product(c,bigC(a,a,b)) = bigC(a,c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(c,bigC(a,a,b)))),bigC(a,c,product(b,c))) )],[refute_0_10399,refute_0_10402]) ).

cnf(refute_0_10404,plain,
    ( product(c,bigC(a,a,b)) != bigC(a,c,product(b,c))
    | bigC(a,c,product(b,c)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(a,a,b)))),bind(Y,$fot(bigC(a,c,product(b,c))))]]) ).

cnf(refute_0_10405,plain,
    bigC(a,c,product(b,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),bigC(a,c,product(b,c))) )],[refute_0_10403,refute_0_10404]) ).

cnf(refute_0_10406,plain,
    bigC(product(a,a),c,product(b,c)) = bigC(product(a,a),c,product(b,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),c,product(b,c)))]]) ).

cnf(refute_0_10407,plain,
    ( bigC(product(a,a),c,product(b,c)) != bigC(product(a,a),c,product(b,c))
    | product(a,a) != a
    | bigC(product(a,a),c,product(b,c)) = bigC(a,c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),c,product(b,c)),bigC(product(a,a),c,product(b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_10408,plain,
    ( product(a,a) != a
    | bigC(product(a,a),c,product(b,c)) = bigC(a,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(b,c)),bigC(product(a,a),c,product(b,c))) )],[refute_0_10406,refute_0_10407]) ).

cnf(refute_0_10409,plain,
    bigC(product(a,a),c,product(b,c)) = bigC(a,c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_10408]) ).

cnf(refute_0_10410,plain,
    ( bigC(a,c,product(b,c)) != product(c,bigC(a,a,b))
    | bigC(product(a,a),c,product(b,c)) != bigC(a,c,product(b,c))
    | bigC(product(a,a),c,product(b,c)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,a),c,product(b,c)))),bind(Y,$fot(bigC(a,c,product(b,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_10411,plain,
    ( bigC(a,c,product(b,c)) != product(c,bigC(a,a,b))
    | bigC(product(a,a),c,product(b,c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(b,c)),bigC(a,c,product(b,c))) )],[refute_0_10409,refute_0_10410]) ).

cnf(refute_0_10412,plain,
    bigC(product(a,a),c,product(b,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(b,c)),product(c,bigC(a,a,b))) )],[refute_0_10405,refute_0_10411]) ).

cnf(refute_0_10413,plain,
    product(bigC(a,a,b),product(c,product(c,a))) = bigC(product(a,a),c,product(b,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(c)),bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10414,plain,
    ( bigC(product(a,a),c,product(b,c)) != product(c,bigC(a,a,b))
    | product(bigC(a,a,b),product(c,product(c,a))) != bigC(product(a,a),c,product(b,c))
    | product(bigC(a,a,b),product(c,product(c,a))) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(c,product(c,a))))),bind(Y,$fot(bigC(product(a,a),c,product(b,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_10415,plain,
    ( bigC(product(a,a),c,product(b,c)) != product(c,bigC(a,a,b))
    | product(bigC(a,a,b),product(c,product(c,a))) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,a))),bigC(product(a,a),c,product(b,c))) )],[refute_0_10413,refute_0_10414]) ).

cnf(refute_0_10416,plain,
    product(bigC(a,a,b),product(c,product(c,a))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(b,c)),product(c,bigC(a,a,b))) )],[refute_0_10412,refute_0_10415]) ).

cnf(refute_0_10417,plain,
    product(product(bigC(a,a,b),product(c,product(c,a))),c) = product(product(bigC(a,a,b),product(c,product(c,a))),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(c,product(c,a))),c))]]) ).

cnf(refute_0_10418,plain,
    ( product(bigC(a,a,b),product(c,product(c,a))) != product(c,bigC(a,a,b))
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) = product(product(c,bigC(a,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(c,a))),c),product(product(bigC(a,a,b),product(c,product(c,a))),c)) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_10419,plain,
    ( product(bigC(a,a,b),product(c,product(c,a))) != product(c,bigC(a,a,b))
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) = product(product(c,bigC(a,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(c,a))),c),product(product(bigC(a,a,b),product(c,product(c,a))),c)) )],[refute_0_10417,refute_0_10418]) ).

cnf(refute_0_10420,plain,
    product(product(bigC(a,a,b),product(c,product(c,a))),c) = product(product(c,bigC(a,a,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,a))),product(c,bigC(a,a,b))) )],[refute_0_10416,refute_0_10419]) ).

cnf(refute_0_10421,plain,
    ( product(product(bigC(a,a,b),product(c,product(c,a))),c) != product(product(c,bigC(a,a,b)),c)
    | product(product(c,bigC(a,a,b)),c) != bigC(c,c,bigC(a,a,b))
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) = bigC(c,c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(c,product(c,a))),c))),bind(Y,$fot(product(product(c,bigC(a,a,b)),c))),bind(Z,$fot(bigC(c,c,bigC(a,a,b))))]]) ).

cnf(refute_0_10422,plain,
    ( product(product(c,bigC(a,a,b)),c) != bigC(c,c,bigC(a,a,b))
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) = bigC(c,c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(c,a))),c),product(product(c,bigC(a,a,b)),c)) )],[refute_0_10420,refute_0_10421]) ).

cnf(refute_0_10423,plain,
    product(product(bigC(a,a,b),product(c,product(c,a))),c) = bigC(c,c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),c),bigC(c,c,bigC(a,a,b))) )],[refute_0_9713,refute_0_10422]) ).

cnf(refute_0_10424,plain,
    bigC(difference(bigC(a,a,b),product(a,product(b,c))),X_18,bigC(a,a,b)) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(a,product(b,c)))),bind(X_19,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10425,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),product(product(a,b),c))) = product(product(a,b),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_10426,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(product(a,b),c))) != product(product(a,b),c)
    | product(bigC(a,a,b),product(product(a,b),c)) != product(a,product(b,c))
    | difference(bigC(a,a,b),product(a,product(b,c))) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(product(a,b),c))),product(product(a,b),c)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_10427,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(product(a,b),c))) != product(product(a,b),c)
    | difference(bigC(a,a,b),product(a,product(b,c))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),product(a,product(b,c))) )],[refute_0_9564,refute_0_10426]) ).

cnf(refute_0_10428,plain,
    difference(bigC(a,a,b),product(a,product(b,c))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(product(a,b),c))),product(product(a,b),c)) )],[refute_0_10425,refute_0_10427]) ).

cnf(refute_0_10429,plain,
    ( difference(bigC(a,a,b),product(a,product(b,c))) != product(product(a,b),c)
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(a,product(b,c))),product(c,product(c,b))) ),[0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_10430,plain,
    ( difference(bigC(a,a,b),product(a,product(b,c))) != product(product(a,b),c)
    | difference(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_10429]) ).

cnf(refute_0_10431,plain,
    difference(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(b,c))),product(product(a,b),c)) )],[refute_0_10428,refute_0_10430]) ).

cnf(refute_0_10432,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),X_18,bigC(a,a,b)) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | difference(bigC(a,a,b),product(a,product(b,c))) != product(c,product(c,b))
    | bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),X_18,bigC(a,a,b)),product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10433,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),X_18,bigC(a,a,b)) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(b,c))),product(c,product(c,b))) )],[refute_0_10431,refute_0_10432]) ).

cnf(refute_0_10434,plain,
    bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),X_18,bigC(a,a,b)),product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))) )],[refute_0_10424,refute_0_10433]) ).

cnf(refute_0_10435,plain,
    bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,bigC(a,b,bigC(c,a,b))))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10436,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))
    | product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))) ),[1,0],$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_10437,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6952,refute_0_10436]) ).

cnf(refute_0_10438,plain,
    bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10435,refute_0_10437]) ).

cnf(refute_0_10439,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(difference(product(a,product(c,b)),product(a,b)))),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_10440,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))
    | product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) ),[0],$fot(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))))]]) ).

cnf(refute_0_10441,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b))))),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10439,refute_0_10440]) ).

cnf(refute_0_10442,plain,
    bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(C,product(a,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10438,refute_0_10441]) ).

cnf(refute_0_10443,plain,
    bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),
    introduced(tautology,[refl,[$fot(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C))]]) ).

cnf(refute_0_10444,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C)
    | product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,c))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C)) ),[1,0],$fot(product(a,bigC(a,b,c)))]]) ).

cnf(refute_0_10445,plain,
    ( product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,c))
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C)) )],[refute_0_10443,refute_0_10444]) ).

cnf(refute_0_10446,plain,
    bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) = bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,bigC(c,a,b))),product(a,bigC(a,b,c))) )],[refute_0_6956,refute_0_10445]) ).

cnf(refute_0_10447,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C)
    | bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) ),[0],$fot(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C))]]) ).

cnf(refute_0_10448,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C)) )],[refute_0_10446,refute_0_10447]) ).

cnf(refute_0_10449,plain,
    product(b,bigC(a,b,bigC(c,a,b))) = product(b,bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(b,bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_10450,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(b,bigC(a,b,bigC(c,a,b))) != product(b,bigC(a,b,bigC(c,a,b)))
    | product(b,bigC(a,b,bigC(c,a,b))) = product(b,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(a,b,bigC(c,a,b))),product(b,bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_10451,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(b,bigC(a,b,bigC(c,a,b))) = product(b,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,bigC(c,a,b))),product(b,bigC(a,b,bigC(c,a,b)))) )],[refute_0_10449,refute_0_10450]) ).

cnf(refute_0_10452,plain,
    product(b,bigC(a,b,bigC(c,a,b))) = product(b,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_870,refute_0_10451]) ).

cnf(refute_0_10453,plain,
    product(a,product(b,bigC(a,b,bigC(c,a,b)))) = product(a,product(b,bigC(a,b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(a,product(b,bigC(a,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_10454,plain,
    ( product(a,product(b,bigC(a,b,bigC(c,a,b)))) != product(a,product(b,bigC(a,b,bigC(c,a,b))))
    | product(b,bigC(a,b,bigC(c,a,b))) != product(b,bigC(a,b,c))
    | product(a,product(b,bigC(a,b,bigC(c,a,b)))) = product(a,product(b,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,bigC(a,b,bigC(c,a,b)))),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),[1,1],$fot(product(b,bigC(a,b,c)))]]) ).

cnf(refute_0_10455,plain,
    ( product(b,bigC(a,b,bigC(c,a,b))) != product(b,bigC(a,b,c))
    | product(a,product(b,bigC(a,b,bigC(c,a,b)))) = product(a,product(b,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,b,bigC(c,a,b)))),product(a,product(b,bigC(a,b,bigC(c,a,b))))) )],[refute_0_10453,refute_0_10454]) ).

cnf(refute_0_10456,plain,
    product(a,product(b,bigC(a,b,bigC(c,a,b)))) = product(a,product(b,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,bigC(c,a,b))),product(b,bigC(a,b,c))) )],[refute_0_10452,refute_0_10455]) ).

cnf(refute_0_10457,plain,
    product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))))]]) ).

cnf(refute_0_10458,plain,
    ( product(a,product(b,bigC(a,b,bigC(c,a,b)))) != product(a,product(b,bigC(a,b,c)))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) ),[1,1],$fot(product(a,product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_10459,plain,
    ( product(a,product(b,bigC(a,b,bigC(c,a,b)))) != product(a,product(b,bigC(a,b,c)))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10457,refute_0_10458]) ).

cnf(refute_0_10460,plain,
    product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,b,bigC(c,a,b)))),product(a,product(b,bigC(a,b,c)))) )],[refute_0_10456,refute_0_10459]) ).

cnf(refute_0_10461,plain,
    product(difference(product(a,product(c,b)),product(a,b)),C) = product(difference(product(a,product(c,b)),product(a,b)),C),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,b)),C))]]) ).

cnf(refute_0_10462,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),C) != product(difference(product(a,product(c,b)),product(a,b)),C)
    | product(difference(product(a,product(c,b)),product(a,b)),C) = product(product(product(a,b),bigC(a,b,c)),C) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),C),product(difference(product(a,product(c,b)),product(a,b)),C)) ),[1,0],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_10463,plain,
    ( difference(product(a,product(c,b)),product(a,b)) != product(product(a,b),bigC(a,b,c))
    | product(difference(product(a,product(c,b)),product(a,b)),C) = product(product(product(a,b),bigC(a,b,c)),C) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),C),product(difference(product(a,product(c,b)),product(a,b)),C)) )],[refute_0_10461,refute_0_10462]) ).

cnf(refute_0_10464,plain,
    product(difference(product(a,product(c,b)),product(a,b)),C) = product(product(product(a,b),bigC(a,b,c)),C),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,b)),product(product(a,b),bigC(a,b,c))) )],[refute_0_6486,refute_0_10463]) ).

cnf(refute_0_10465,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))))]]) ).

cnf(refute_0_10466,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),C) != product(product(product(a,b),bigC(a,b,c)),C)
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) ),[1,0],$fot(product(product(product(a,b),bigC(a,b,c)),C))]]) ).

cnf(refute_0_10467,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),C) != product(product(product(a,b),bigC(a,b,c)),C)
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10465,refute_0_10466]) ).

cnf(refute_0_10468,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),C),product(product(product(a,b),bigC(a,b,c)),C)) )],[refute_0_10464,refute_0_10467]) ).

cnf(refute_0_10469,plain,
    ( product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))))),bind(Y,$fot(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))))),bind(Z,$fot(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))))]]) ).

cnf(refute_0_10470,plain,
    ( product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10468,refute_0_10469]) ).

cnf(refute_0_10471,plain,
    product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10460,refute_0_10470]) ).

cnf(refute_0_10472,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) ),[0],$fot(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))))]]) ).

cnf(refute_0_10473,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b))))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10471,refute_0_10472]) ).

cnf(refute_0_10474,plain,
    ( bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C) != product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10448,refute_0_10473]) ).

cnf(refute_0_10475,plain,
    bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b),C),product(product(difference(product(a,product(c,b)),product(a,b)),C),product(a,product(b,bigC(a,b,bigC(c,a,b)))))) )],[refute_0_10442,refute_0_10474]) ).

cnf(refute_0_10476,plain,
    product(product(product(a,b),bigC(a,b,c)),C) = product(product(product(a,b),bigC(a,b,c)),C),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(a,b,c)),C))]]) ).

cnf(refute_0_10477,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | product(product(product(a,b),bigC(a,b,c)),C) != product(product(product(a,b),bigC(a,b,c)),C)
    | product(product(product(a,b),bigC(a,b,c)),C) = product(product(product(a,b),c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),C),product(product(product(a,b),bigC(a,b,c)),C)) ),[1,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_10478,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | product(product(product(a,b),bigC(a,b,c)),C) = product(product(product(a,b),c),C) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),C),product(product(product(a,b),bigC(a,b,c)),C)) )],[refute_0_10476,refute_0_10477]) ).

cnf(refute_0_10479,plain,
    product(product(product(a,b),bigC(a,b,c)),C) = product(product(product(a,b),c),C),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,c)),product(product(a,b),c)) )],[refute_0_6842,refute_0_10478]) ).

cnf(refute_0_10480,plain,
    product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10481,plain,
    ( product(product(product(a,b),bigC(a,b,c)),C) != product(product(product(a,b),c),C)
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) ),[1,0],$fot(product(product(product(a,b),c),C))]]) ).

cnf(refute_0_10482,plain,
    ( product(product(product(a,b),bigC(a,b,c)),C) != product(product(product(a,b),c),C)
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10480,refute_0_10481]) ).

cnf(refute_0_10483,plain,
    product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(a,b,c)),C),product(product(product(a,b),c),C)) )],[refute_0_10479,refute_0_10482]) ).

cnf(refute_0_10484,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))) ),[0],$fot(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10485,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10483,refute_0_10484]) ).

cnf(refute_0_10486,plain,
    bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(product(a,b),bigC(a,b,c)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10475,refute_0_10485]) ).

cnf(refute_0_10487,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_10488,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_10489,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_10487,refute_0_10488]) ).

cnf(refute_0_10490,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_4299,refute_0_10489]) ).

cnf(refute_0_10491,plain,
    product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10492,plain,
    ( product(product(product(a,b),c),C) != product(product(c,product(c,b)),C)
    | product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))) ),[1,0],$fot(product(product(c,product(c,b)),C))]]) ).

cnf(refute_0_10493,plain,
    ( product(product(product(a,b),c),C) != product(product(c,product(c,b)),C)
    | product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10491,refute_0_10492]) ).

cnf(refute_0_10494,plain,
    product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),C),product(product(c,product(c,b)),C)) )],[refute_0_10490,refute_0_10493]) ).

cnf(refute_0_10495,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) ),[0],$fot(product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10496,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c)))),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10494,refute_0_10495]) ).

cnf(refute_0_10497,plain,
    bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(product(a,b),c),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10486,refute_0_10496]) ).

cnf(refute_0_10498,plain,
    bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),
    introduced(tautology,[refl,[$fot(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C))]]) ).

cnf(refute_0_10499,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C)
    | product(a,bigC(a,b,c)) != product(a,c)
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = bigC(product(a,c),bigC(b,a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_10500,plain,
    ( product(a,bigC(a,b,c)) != product(a,c)
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = bigC(product(a,c),bigC(b,a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C)) )],[refute_0_10498,refute_0_10499]) ).

cnf(refute_0_10501,plain,
    bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) = bigC(product(a,c),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,c)),product(a,c)) )],[refute_0_6991,refute_0_10500]) ).

cnf(refute_0_10502,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != bigC(product(a,c),bigC(b,a,b),C)
    | bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,c),bigC(b,a,b),C) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) ),[0],$fot(bigC(product(a,c),bigC(b,a,b),C))]]) ).

cnf(refute_0_10503,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,c),bigC(b,a,b),C) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),bigC(product(a,c),bigC(b,a,b),C)) )],[refute_0_10501,refute_0_10502]) ).

cnf(refute_0_10504,plain,
    bigC(product(product(a,b),c),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),product(bigC(a,a,b),product(product(a,b),c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(product(a,b),c))),bind(C,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10505,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),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))
    | bigC(product(product(a,b),c),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),product(product(product(product(a,b),c),B),product(bigC(a,a,b),product(product(a,b),c)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_10506,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(bigC(a,a,b),product(product(a,b),c)))
    | bigC(product(product(a,b),c),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),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_9564,refute_0_10505]) ).

cnf(refute_0_10507,plain,
    bigC(product(product(a,b),c),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),product(product(product(product(a,b),c),B),product(bigC(a,a,b),product(product(a,b),c)))) )],[refute_0_10504,refute_0_10506]) ).

cnf(refute_0_10508,plain,
    bigC(product(product(a,b),c),B,bigC(a,a,b)) = bigC(product(product(a,b),c),B,bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(product(a,b),c),B,bigC(a,a,b)))]]) ).

cnf(refute_0_10509,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != bigC(product(product(a,b),c),B,bigC(a,a,b))
    | product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(product(a,b),c),B,bigC(a,a,b)) = bigC(product(c,product(c,b)),B,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),bigC(product(product(a,b),c),B,bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10510,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(product(a,b),c),B,bigC(a,a,b)) = bigC(product(c,product(c,b)),B,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),bigC(product(product(a,b),c),B,bigC(a,a,b))) )],[refute_0_10508,refute_0_10509]) ).

cnf(refute_0_10511,plain,
    bigC(product(product(a,b),c),B,bigC(a,a,b)) = bigC(product(c,product(c,b)),B,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_10510]) ).

cnf(refute_0_10512,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != bigC(product(c,product(c,b)),B,bigC(a,a,b))
    | bigC(product(product(a,b),c),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),product(product(product(product(a,b),c),B),product(a,product(b,c)))) ),[0],$fot(bigC(product(c,product(c,b)),B,bigC(a,a,b)))]]) ).

cnf(refute_0_10513,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(product(a,b),c),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),bigC(product(c,product(c,b)),B,bigC(a,a,b))) )],[refute_0_10511,refute_0_10512]) ).

cnf(refute_0_10514,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_10515,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_10516,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_10514,refute_0_10515]) ).

cnf(refute_0_10517,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_4299,refute_0_10516]) ).

cnf(refute_0_10518,plain,
    product(product(product(product(a,b),c),B),product(a,product(b,c))) = product(product(product(product(a,b),c),B),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),c),B),product(a,product(b,c))))]]) ).

cnf(refute_0_10519,plain,
    ( product(product(product(a,b),c),B) != product(product(c,product(c,b)),B)
    | product(product(product(product(a,b),c),B),product(a,product(b,c))) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | product(product(product(product(a,b),c),B),product(a,product(b,c))) = product(product(product(c,product(c,b)),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),B),product(a,product(b,c))),product(product(product(product(a,b),c),B),product(a,product(b,c)))) ),[1,0],$fot(product(product(c,product(c,b)),B))]]) ).

cnf(refute_0_10520,plain,
    ( product(product(product(a,b),c),B) != product(product(c,product(c,b)),B)
    | product(product(product(product(a,b),c),B),product(a,product(b,c))) = product(product(product(c,product(c,b)),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),B),product(a,product(b,c))),product(product(product(product(a,b),c),B),product(a,product(b,c)))) )],[refute_0_10518,refute_0_10519]) ).

cnf(refute_0_10521,plain,
    product(product(product(product(a,b),c),B),product(a,product(b,c))) = product(product(product(c,product(c,b)),B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),B),product(product(c,product(c,b)),B)) )],[refute_0_10517,refute_0_10520]) ).

cnf(refute_0_10522,plain,
    ( bigC(product(c,product(c,b)),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | product(product(product(product(a,b),c),B),product(a,product(b,c))) != product(product(product(c,product(c,b)),B),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(c,product(c,b)),B),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,product(c,b)),B,bigC(a,a,b)),product(product(product(c,product(c,b)),B),product(a,product(b,c)))) ),[0],$fot(product(product(product(product(a,b),c),B),product(a,product(b,c))))]]) ).

cnf(refute_0_10523,plain,
    ( bigC(product(c,product(c,b)),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(c,product(c,b)),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),B),product(a,product(b,c))),product(product(product(c,product(c,b)),B),product(a,product(b,c)))) )],[refute_0_10521,refute_0_10522]) ).

cnf(refute_0_10524,plain,
    ( bigC(product(product(a,b),c),B,bigC(a,a,b)) != product(product(product(product(a,b),c),B),product(a,product(b,c)))
    | bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(c,product(c,b)),B),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),B,bigC(a,a,b)),product(product(product(product(a,b),c),B),product(a,product(b,c)))) )],[refute_0_10513,refute_0_10523]) ).

cnf(refute_0_10525,plain,
    bigC(product(c,product(c,b)),B,bigC(a,a,b)) = product(product(product(c,product(c,b)),B),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),c),B,bigC(a,a,b)),product(product(product(product(a,b),c),B),product(a,product(b,c)))) )],[refute_0_10507,refute_0_10524]) ).

cnf(refute_0_10526,plain,
    ( bigC(product(c,product(c,b)),B,bigC(a,a,b)) != product(product(product(c,product(c,b)),B),product(a,product(b,c)))
    | product(product(product(c,product(c,b)),B),product(a,product(b,c))) = bigC(product(c,product(c,b)),B,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,product(c,b)),B,bigC(a,a,b)))),bind(Y,$fot(product(product(product(c,product(c,b)),B),product(a,product(b,c)))))]]) ).

cnf(refute_0_10527,plain,
    product(product(product(c,product(c,b)),B),product(a,product(b,c))) = bigC(product(c,product(c,b)),B,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),B,bigC(a,a,b)),product(product(product(c,product(c,b)),B),product(a,product(b,c)))) )],[refute_0_10525,refute_0_10526]) ).

cnf(refute_0_10528,plain,
    product(product(product(c,product(c,b)),C),product(a,product(b,c))) = bigC(product(c,product(c,b)),C,bigC(a,a,b)),
    inference(subst,[],[refute_0_10527:[bind(B,$fot(C))]]) ).

cnf(refute_0_10529,plain,
    product(a,product(b,bigC(a,b,c))) = product(a,product(b,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(a,product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_10530,plain,
    ( product(a,product(b,bigC(a,b,c))) != product(a,product(b,bigC(a,b,c)))
    | product(b,bigC(a,b,c)) != product(b,c)
    | product(a,product(b,bigC(a,b,c))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,bigC(a,b,c))),product(a,product(b,bigC(a,b,c)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_10531,plain,
    ( product(b,bigC(a,b,c)) != product(b,c)
    | product(a,product(b,bigC(a,b,c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,b,c))),product(a,product(b,bigC(a,b,c)))) )],[refute_0_10529,refute_0_10530]) ).

cnf(refute_0_10532,plain,
    product(a,product(b,bigC(a,b,c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,b,c)),product(b,c)) )],[refute_0_6524,refute_0_10531]) ).

cnf(refute_0_10533,plain,
    product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10534,plain,
    ( product(a,product(b,bigC(a,b,c))) != product(a,product(b,c))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_10535,plain,
    ( product(a,product(b,bigC(a,b,c))) != product(a,product(b,c))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10533,refute_0_10534]) ).

cnf(refute_0_10536,plain,
    product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = product(product(product(c,product(c,b)),C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,b,c))),product(a,product(b,c))) )],[refute_0_10532,refute_0_10535]) ).

cnf(refute_0_10537,plain,
    ( product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) != product(product(product(c,product(c,b)),C),product(a,product(b,c)))
    | product(product(product(c,product(c,b)),C),product(a,product(b,c))) != bigC(product(c,product(c,b)),C,bigC(a,a,b))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = bigC(product(c,product(c,b)),C,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))))),bind(Y,$fot(product(product(product(c,product(c,b)),C),product(a,product(b,c))))),bind(Z,$fot(bigC(product(c,product(c,b)),C,bigC(a,a,b))))]]) ).

cnf(refute_0_10538,plain,
    ( product(product(product(c,product(c,b)),C),product(a,product(b,c))) != bigC(product(c,product(c,b)),C,bigC(a,a,b))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = bigC(product(c,product(c,b)),C,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),product(product(product(c,product(c,b)),C),product(a,product(b,c)))) )],[refute_0_10536,refute_0_10537]) ).

cnf(refute_0_10539,plain,
    product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) = bigC(product(c,product(c,b)),C,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(a,product(b,c))),bigC(product(c,product(c,b)),C,bigC(a,a,b))) )],[refute_0_10528,refute_0_10538]) ).

cnf(refute_0_10540,plain,
    ( bigC(product(a,c),bigC(b,a,b),C) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))) != bigC(product(c,product(c,b)),C,bigC(a,a,b))
    | bigC(product(a,c),bigC(b,a,b),C) = bigC(product(c,product(c,b)),C,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),bigC(b,a,b),C),bigC(product(c,product(c,b)),C,bigC(a,a,b))) ),[0],$fot(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_10541,plain,
    ( bigC(product(a,c),bigC(b,a,b),C) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,c),bigC(b,a,b),C) = bigC(product(c,product(c,b)),C,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c)))),bigC(product(c,product(c,b)),C,bigC(a,a,b))) )],[refute_0_10539,refute_0_10540]) ).

cnf(refute_0_10542,plain,
    ( bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C) != product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))
    | bigC(product(a,c),bigC(b,a,b),C) = bigC(product(c,product(c,b)),C,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),C),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10503,refute_0_10541]) ).

cnf(refute_0_10543,plain,
    bigC(product(a,c),bigC(b,a,b),C) = bigC(product(c,product(c,b)),C,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,bigC(a,b,c)),bigC(b,a,b),C),product(product(product(c,product(c,b)),C),product(a,product(b,bigC(a,b,c))))) )],[refute_0_10497,refute_0_10542]) ).

cnf(refute_0_10544,plain,
    ( bigC(product(a,c),bigC(b,a,b),C) != bigC(product(c,product(c,b)),C,bigC(a,a,b))
    | bigC(product(c,product(c,b)),C,bigC(a,a,b)) = bigC(product(a,c),bigC(b,a,b),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,c),bigC(b,a,b),C))),bind(Y,$fot(bigC(product(c,product(c,b)),C,bigC(a,a,b))))]]) ).

cnf(refute_0_10545,plain,
    bigC(product(c,product(c,b)),C,bigC(a,a,b)) = bigC(product(a,c),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),C),bigC(product(c,product(c,b)),C,bigC(a,a,b))) )],[refute_0_10543,refute_0_10544]) ).

cnf(refute_0_10546,plain,
    bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) = bigC(product(a,c),bigC(b,a,b),X_18),
    inference(subst,[],[refute_0_10545:[bind(C,$fot(X_18))]]) ).

cnf(refute_0_10547,plain,
    ( bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) != bigC(product(a,c),bigC(b,a,b),X_18)
    | bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),X_18,bigC(a,a,b)),product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))) ),[0],$fot(bigC(product(a,c),bigC(b,a,b),X_18))]]) ).

cnf(refute_0_10548,plain,
    ( bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),X_18,bigC(a,a,b)),bigC(product(a,c),bigC(b,a,b),X_18)) )],[refute_0_10546,refute_0_10547]) ).

cnf(refute_0_10549,plain,
    bigC(product(product(c,a),b),difference(product(product(c,a),b),bigC(c,a,b)),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(c,a,b))),bind(X_17,$fot(product(product(c,a),b))),bind(X_19,$fot(X_49))]]) ).

cnf(refute_0_10550,plain,
    difference(quotient(bigC(c,a,b),bigC(c,a,c)),bigC(c,a,b)) = bigC(c,a,c),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(c,a,c))),bind(X_11,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_10551,plain,
    ( difference(quotient(bigC(c,a,b),bigC(c,a,c)),bigC(c,a,b)) != bigC(c,a,c)
    | quotient(bigC(c,a,b),bigC(c,a,c)) != product(product(c,a),b)
    | difference(product(product(c,a),b),bigC(c,a,b)) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(c,a,b),bigC(c,a,c)),bigC(c,a,b)),bigC(c,a,c)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_10552,plain,
    ( difference(quotient(bigC(c,a,b),bigC(c,a,c)),bigC(c,a,b)) != bigC(c,a,c)
    | difference(product(product(c,a),b),bigC(c,a,b)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),bigC(c,a,c)),product(product(c,a),b)) )],[refute_0_1652,refute_0_10551]) ).

cnf(refute_0_10553,plain,
    difference(product(product(c,a),b),bigC(c,a,b)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(c,a,b),bigC(c,a,c)),bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_10550,refute_0_10552]) ).

cnf(refute_0_10554,plain,
    ( bigC(product(product(c,a),b),difference(product(product(c,a),b),bigC(c,a,b)),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | difference(product(product(c,a),b),bigC(c,a,b)) != bigC(c,a,c)
    | bigC(product(product(c,a),b),bigC(c,a,c),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,a),b),difference(product(product(c,a),b),bigC(c,a,b)),X_49),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) ),[0,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_10555,plain,
    ( bigC(product(product(c,a),b),difference(product(product(c,a),b),bigC(c,a,b)),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | bigC(product(product(c,a),b),bigC(c,a,c),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_10553,refute_0_10554]) ).

cnf(refute_0_10556,plain,
    bigC(product(product(c,a),b),bigC(c,a,c),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,a),b),difference(product(product(c,a),b),bigC(c,a,b)),X_49),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) )],[refute_0_10549,refute_0_10555]) ).

cnf(refute_0_10557,plain,
    bigC(product(product(c,a),b),bigC(c,a,c),X_49) = bigC(product(product(c,a),b),bigC(c,a,c),X_49),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,a),b),bigC(c,a,c),X_49))]]) ).

cnf(refute_0_10558,plain,
    ( bigC(product(product(c,a),b),bigC(c,a,c),X_49) != bigC(product(product(c,a),b),bigC(c,a,c),X_49)
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(product(c,a),b),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(c,a,c),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,a),b),bigC(c,a,c),X_49),bigC(product(product(c,a),b),bigC(c,a,c),X_49)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10559,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(product(c,a),b),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(c,a,c),X_49) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,a),b),bigC(c,a,c),X_49),bigC(product(product(c,a),b),bigC(c,a,c),X_49)) )],[refute_0_10557,refute_0_10558]) ).

cnf(refute_0_10560,plain,
    bigC(product(product(c,a),b),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(c,a,c),X_49),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_10559]) ).

cnf(refute_0_10561,plain,
    ( bigC(product(product(c,a),b),bigC(c,a,c),X_49) != bigC(product(c,product(c,b)),bigC(c,a,c),X_49)
    | bigC(product(product(c,a),b),bigC(c,a,c),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,a),b),bigC(c,a,c),X_49),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) ),[0],$fot(bigC(product(c,product(c,b)),bigC(c,a,c),X_49))]]) ).

cnf(refute_0_10562,plain,
    ( bigC(product(product(c,a),b),bigC(c,a,c),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,a),b),bigC(c,a,c),X_49),bigC(product(c,product(c,b)),bigC(c,a,c),X_49)) )],[refute_0_10560,refute_0_10561]) ).

cnf(refute_0_10563,plain,
    product(X_49,product(product(c,a),b)) = product(X_49,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(X_49,product(product(c,a),b)))]]) ).

cnf(refute_0_10564,plain,
    ( product(X_49,product(product(c,a),b)) != product(X_49,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(X_49,product(product(c,a),b)) = product(X_49,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_49,product(product(c,a),b)),product(X_49,product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10565,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(X_49,product(product(c,a),b)) = product(X_49,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(X_49,product(product(c,a),b)),product(X_49,product(product(c,a),b))) )],[refute_0_10563,refute_0_10564]) ).

cnf(refute_0_10566,plain,
    product(X_49,product(product(c,a),b)) = product(X_49,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_10565]) ).

cnf(refute_0_10567,plain,
    product(c,product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(c,product(X_49,product(product(c,a),b))))]]) ).

cnf(refute_0_10568,plain,
    ( product(X_49,product(product(c,a),b)) != product(X_49,product(c,product(c,b)))
    | product(c,product(X_49,product(product(c,a),b))) != product(c,product(X_49,product(product(c,a),b)))
    | product(c,product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_49,product(product(c,a),b))),product(c,product(X_49,product(product(c,a),b)))) ),[1,1],$fot(product(X_49,product(c,product(c,b))))]]) ).

cnf(refute_0_10569,plain,
    ( product(X_49,product(product(c,a),b)) != product(X_49,product(c,product(c,b)))
    | product(c,product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_49,product(product(c,a),b))),product(c,product(X_49,product(product(c,a),b)))) )],[refute_0_10567,refute_0_10568]) ).

cnf(refute_0_10570,plain,
    product(c,product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(X_49,product(product(c,a),b)),product(X_49,product(c,product(c,b)))) )],[refute_0_10566,refute_0_10569]) ).

cnf(refute_0_10571,plain,
    product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(bigC(c,a,b),product(X_49,product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(X_49,product(product(c,a),b))))]]) ).

cnf(refute_0_10572,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(X_49,product(product(c,a),b))),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_10573,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(X_49,product(product(c,a),b))),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) )],[refute_0_10571,refute_0_10572]) ).

cnf(refute_0_10574,plain,
    product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_10573]) ).

cnf(refute_0_10575,plain,
    ( product(bigC(c,a,b),product(X_49,product(product(c,a),b))) != product(c,product(X_49,product(product(c,a),b)))
    | product(c,product(X_49,product(product(c,a),b))) != product(c,product(X_49,product(c,product(c,b))))
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,b),product(X_49,product(product(c,a),b))))),bind(Y,$fot(product(c,product(X_49,product(product(c,a),b))))),bind(Z,$fot(product(c,product(X_49,product(c,product(c,b))))))]]) ).

cnf(refute_0_10576,plain,
    ( product(c,product(X_49,product(product(c,a),b))) != product(c,product(X_49,product(c,product(c,b))))
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(X_49,product(product(c,a),b))),product(c,product(X_49,product(product(c,a),b)))) )],[refute_0_10574,refute_0_10575]) ).

cnf(refute_0_10577,plain,
    product(bigC(c,a,b),product(X_49,product(product(c,a),b))) = product(c,product(X_49,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(c,product(X_49,product(product(c,a),b))),product(c,product(X_49,product(c,product(c,b))))) )],[refute_0_10570,refute_0_10576]) ).

cnf(refute_0_10578,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | product(bigC(c,a,b),product(X_49,product(product(c,a),b))) != product(c,product(X_49,product(c,product(c,b))))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(c,product(X_49,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),product(c,product(X_49,product(c,product(c,b))))) ),[0],$fot(product(bigC(c,a,b),product(X_49,product(product(c,a),b))))]]) ).

cnf(refute_0_10579,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(c,product(X_49,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(X_49,product(product(c,a),b))),product(c,product(X_49,product(c,product(c,b))))) )],[refute_0_10577,refute_0_10578]) ).

cnf(refute_0_10580,plain,
    ( bigC(product(product(c,a),b),bigC(c,a,c),X_49) != product(bigC(c,a,b),product(X_49,product(product(c,a),b)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(c,product(X_49,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) )],[refute_0_10562,refute_0_10579]) ).

cnf(refute_0_10581,plain,
    bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = product(c,product(X_49,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,a),b),bigC(c,a,c),X_49),product(bigC(c,a,b),product(X_49,product(product(c,a),b)))) )],[refute_0_10556,refute_0_10580]) ).

cnf(refute_0_10582,plain,
    product(c,product(X_25,product(c,product(c,b)))) = product(product(c,X_25),product(c,product(c,product(c,b)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_10583,plain,
    ( product(c,product(X_25,product(c,product(c,b)))) != product(product(c,X_25),product(c,product(c,product(c,b))))
    | product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | product(c,product(X_25,product(c,product(c,b)))) = product(product(c,X_25),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,product(c,b)))),product(product(c,X_25),product(c,product(c,product(c,b))))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_10584,plain,
    ( product(c,product(X_25,product(c,product(c,b)))) != product(product(c,X_25),product(c,product(c,product(c,b))))
    | product(c,product(X_25,product(c,product(c,b)))) = product(product(c,X_25),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_10583]) ).

cnf(refute_0_10585,plain,
    product(c,product(X_25,product(c,product(c,b)))) = product(product(c,X_25),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(c,b)))),product(product(c,X_25),product(c,product(c,product(c,b))))) )],[refute_0_10582,refute_0_10584]) ).

cnf(refute_0_10586,plain,
    product(product(c,X_25),bigC(b,a,product(a,b))) = bigC(c,X_25,product(c,product(a,b))),
    inference(subst,[],[refute_0_1532:[bind(X_18,$fot(X_25))]]) ).

cnf(refute_0_10587,plain,
    ( product(c,product(X_25,product(c,product(c,b)))) != product(product(c,X_25),bigC(b,a,product(a,b)))
    | product(product(c,X_25),bigC(b,a,product(a,b))) != bigC(c,X_25,product(c,product(a,b)))
    | product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,product(c,product(c,b)))),bigC(c,X_25,product(c,product(a,b)))) ),[0],$fot(product(product(c,X_25),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_10588,plain,
    ( product(c,product(X_25,product(c,product(c,b)))) != product(product(c,X_25),bigC(b,a,product(a,b)))
    | product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),bigC(b,a,product(a,b))),bigC(c,X_25,product(c,product(a,b)))) )],[refute_0_10586,refute_0_10587]) ).

cnf(refute_0_10589,plain,
    product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(c,b)))),product(product(c,X_25),bigC(b,a,product(a,b)))) )],[refute_0_10585,refute_0_10588]) ).

cnf(refute_0_10590,plain,
    bigC(c,X_25,product(c,product(a,b))) = bigC(c,X_25,product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(c,X_25,product(c,product(a,b))))]]) ).

cnf(refute_0_10591,plain,
    ( bigC(c,X_25,product(c,product(a,b))) != bigC(c,X_25,product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,X_25,product(c,product(a,b))) = bigC(c,X_25,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_25,product(c,product(a,b))),bigC(c,X_25,product(c,product(a,b)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_10592,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,X_25,product(c,product(a,b))) = bigC(c,X_25,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_25,product(c,product(a,b))),bigC(c,X_25,product(c,product(a,b)))) )],[refute_0_10590,refute_0_10591]) ).

cnf(refute_0_10593,plain,
    bigC(c,X_25,product(c,product(a,b))) = bigC(c,X_25,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_10592]) ).

cnf(refute_0_10594,plain,
    ( bigC(c,X_25,product(c,product(a,b))) != bigC(c,X_25,product(a,product(b,c)))
    | product(c,product(X_25,product(c,product(c,b)))) != bigC(c,X_25,product(c,product(a,b)))
    | product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,product(c,b)))),bigC(c,X_25,product(c,product(a,b)))) ),[1],$fot(bigC(c,X_25,product(a,product(b,c))))]]) ).

cnf(refute_0_10595,plain,
    ( product(c,product(X_25,product(c,product(c,b)))) != bigC(c,X_25,product(c,product(a,b)))
    | product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_25,product(c,product(a,b))),bigC(c,X_25,product(a,product(b,c)))) )],[refute_0_10593,refute_0_10594]) ).

cnf(refute_0_10596,plain,
    product(c,product(X_25,product(c,product(c,b)))) = bigC(c,X_25,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(c,b)))),bigC(c,X_25,product(c,product(a,b)))) )],[refute_0_10589,refute_0_10595]) ).

cnf(refute_0_10597,plain,
    product(c,product(X_49,product(c,product(c,b)))) = bigC(c,X_49,product(a,product(b,c))),
    inference(subst,[],[refute_0_10596:[bind(X_25,$fot(X_49))]]) ).

cnf(refute_0_10598,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != product(c,product(X_49,product(c,product(c,b))))
    | product(c,product(X_49,product(c,product(c,b)))) != bigC(c,X_49,product(a,product(b,c)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(c,X_49,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(c,X_49,product(a,product(b,c)))) ),[0],$fot(product(c,product(X_49,product(c,product(c,b)))))]]) ).

cnf(refute_0_10599,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != product(c,product(X_49,product(c,product(c,b))))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(c,X_49,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_49,product(c,product(c,b)))),bigC(c,X_49,product(a,product(b,c)))) )],[refute_0_10597,refute_0_10598]) ).

cnf(refute_0_10600,plain,
    bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(c,X_49,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),product(c,product(X_49,product(c,product(c,b))))) )],[refute_0_10581,refute_0_10599]) ).

cnf(refute_0_10601,plain,
    bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(c,a,c),X_49),
    introduced(tautology,[refl,[$fot(bigC(product(c,product(c,b)),bigC(c,a,c),X_49))]]) ).

cnf(refute_0_10602,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != bigC(product(c,product(c,b)),bigC(c,a,c),X_49)
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(a,a,b),X_49) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(product(c,product(c,b)),bigC(c,a,c),X_49)) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10603,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(a,a,b),X_49) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(product(c,product(c,b)),bigC(c,a,c),X_49)) )],[refute_0_10601,refute_0_10602]) ).

cnf(refute_0_10604,plain,
    bigC(product(c,product(c,b)),bigC(c,a,c),X_49) = bigC(product(c,product(c,b)),bigC(a,a,b),X_49),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_10603]) ).

cnf(refute_0_10605,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != bigC(c,X_49,product(a,product(b,c)))
    | bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != bigC(product(c,product(c,b)),bigC(a,a,b),X_49)
    | bigC(product(c,product(c,b)),bigC(a,a,b),X_49) = bigC(c,X_49,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(c,X_49,product(a,product(b,c)))) ),[0],$fot(bigC(product(c,product(c,b)),bigC(a,a,b),X_49))]]) ).

cnf(refute_0_10606,plain,
    ( bigC(product(c,product(c,b)),bigC(c,a,c),X_49) != bigC(c,X_49,product(a,product(b,c)))
    | bigC(product(c,product(c,b)),bigC(a,a,b),X_49) = bigC(c,X_49,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(product(c,product(c,b)),bigC(a,a,b),X_49)) )],[refute_0_10604,refute_0_10605]) ).

cnf(refute_0_10607,plain,
    bigC(product(c,product(c,b)),bigC(a,a,b),X_49) = bigC(c,X_49,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,a,c),X_49),bigC(c,X_49,product(a,product(b,c)))) )],[refute_0_10600,refute_0_10606]) ).

cnf(refute_0_10608,plain,
    bigC(product(c,product(c,b)),bigC(a,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))),
    inference(subst,[],[refute_0_10607:[bind(X_49,$fot(X_18))]]) ).

cnf(refute_0_10609,plain,
    bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18))]]) ).

cnf(refute_0_10610,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) != bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18)
    | difference(bigC(a,a,b),product(a,product(b,c))) != product(c,product(c,b))
    | bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(product(c,product(c,b)),bigC(a,a,b),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10611,plain,
    ( difference(bigC(a,a,b),product(a,product(b,c))) != product(c,product(c,b))
    | bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(product(c,product(c,b)),bigC(a,a,b),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18)) )],[refute_0_10609,refute_0_10610]) ).

cnf(refute_0_10612,plain,
    bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(product(c,product(c,b)),bigC(a,a,b),X_18),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(b,c))),product(c,product(c,b))) )],[refute_0_10431,refute_0_10611]) ).

cnf(refute_0_10613,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) != bigC(product(c,product(c,b)),bigC(a,a,b),X_18)
    | bigC(product(c,product(c,b)),bigC(a,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18))),bind(Y,$fot(bigC(product(c,product(c,b)),bigC(a,a,b),X_18))),bind(Z,$fot(bigC(c,X_18,product(a,product(b,c)))))]]) ).

cnf(refute_0_10614,plain,
    ( bigC(product(c,product(c,b)),bigC(a,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),bigC(product(c,product(c,b)),bigC(a,a,b),X_18)) )],[refute_0_10612,refute_0_10613]) ).

cnf(refute_0_10615,plain,
    bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(a,a,b),X_18),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_10608,refute_0_10614]) ).

cnf(refute_0_10616,plain,
    product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) = bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(bigC(a,a,b))),bind(C,$fot(X_18)),bind(X_70,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_10617,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) != bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18)
    | product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))))),bind(Y,$fot(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18))),bind(Z,$fot(bigC(c,X_18,product(a,product(b,c)))))]]) ).

cnf(refute_0_10618,plain,
    ( bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))),bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18)) )],[refute_0_10616,refute_0_10617]) ).

cnf(refute_0_10619,plain,
    product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) = bigC(c,X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b),X_18),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_10615,refute_0_10618]) ).

cnf(refute_0_10620,plain,
    ( bigC(product(a,c),bigC(b,a,b),X_18) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),bigC(b,a,b),X_18),bigC(c,X_18,product(a,product(b,c)))) ),[0],$fot(product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))))]]) ).

cnf(refute_0_10621,plain,
    ( bigC(product(a,c),bigC(b,a,b),X_18) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c))),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_10619,refute_0_10620]) ).

cnf(refute_0_10622,plain,
    ( bigC(product(c,product(c,b)),X_18,bigC(a,a,b)) != product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),X_18),product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))) )],[refute_0_10548,refute_0_10621]) ).

cnf(refute_0_10623,plain,
    bigC(product(a,c),bigC(b,a,b),X_18) = bigC(c,X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),X_18,bigC(a,a,b)),product(product(difference(bigC(a,a,b),product(a,product(b,c))),X_18),product(a,product(b,c)))) )],[refute_0_10434,refute_0_10622]) ).

cnf(refute_0_10624,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(bigC(a,a,b),X_18),c)
    | bigC(product(a,c),bigC(b,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = product(product(bigC(a,a,b),X_18),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),X_18),bigC(c,X_18,product(a,product(b,c)))) ),[1],$fot(product(product(bigC(a,a,b),X_18),c))]]) ).

cnf(refute_0_10625,plain,
    ( bigC(product(a,c),bigC(b,a,b),X_18) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(product(a,c),bigC(b,a,b),X_18) = product(product(bigC(a,a,b),X_18),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(bigC(a,a,b),X_18),c)) )],[refute_0_7098,refute_0_10624]) ).

cnf(refute_0_10626,plain,
    bigC(product(a,c),bigC(b,a,b),X_18) = product(product(bigC(a,a,b),X_18),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),X_18),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_10623,refute_0_10625]) ).

cnf(refute_0_10627,plain,
    bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))) = product(product(bigC(a,a,b),product(c,product(c,a))),c),
    inference(subst,[],[refute_0_10626:[bind(X_18,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_10628,plain,
    bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) = bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,c))),bind(B,$fot(bigC(b,a,b))),bind(C,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_10629,plain,
    ( bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) != bigC(product(a,c),bigC(b,a,b),product(c,product(c,a)))
    | bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)))),bind(Y,$fot(bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))))),bind(Z,$fot(product(product(bigC(a,a,b),product(c,product(c,a))),c)))]]) ).

cnf(refute_0_10630,plain,
    ( bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)),bigC(product(a,c),bigC(b,a,b),product(c,product(c,a)))) )],[refute_0_10628,refute_0_10629]) ).

cnf(refute_0_10631,plain,
    bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(b,a,b),product(c,product(c,a))),product(product(bigC(a,a,b),product(c,product(c,a))),c)) )],[refute_0_10627,refute_0_10630]) ).

cnf(refute_0_10632,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)),
    inference(subst,[],[refute_0_9319:[bind(X_66,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10633,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b))
    | bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)))),bind(Y,$fot(bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)))),bind(Z,$fot(product(product(bigC(a,a,b),product(c,product(c,a))),c)))]]) ).

cnf(refute_0_10634,plain,
    ( bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b))) )],[refute_0_10632,refute_0_10633]) ).

cnf(refute_0_10635,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,product(c,a))),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),bigC(b,a,b)),product(product(bigC(a,a,b),product(c,product(c,a))),c)) )],[refute_0_10631,refute_0_10634]) ).

cnf(refute_0_10636,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(product(bigC(a,a,b),product(c,product(c,a))),c)
    | product(product(bigC(a,a,b),product(c,product(c,a))),c) != bigC(c,c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(c,c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,product(c,a))),c))),bind(Z,$fot(bigC(c,c,bigC(a,a,b))))]]) ).

cnf(refute_0_10637,plain,
    ( product(product(bigC(a,a,b),product(c,product(c,a))),c) != bigC(c,c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(c,c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(product(bigC(a,a,b),product(c,product(c,a))),c)) )],[refute_0_10635,refute_0_10636]) ).

cnf(refute_0_10638,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(c,c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(c,a))),c),bigC(c,c,bigC(a,a,b))) )],[refute_0_10423,refute_0_10637]) ).

cnf(refute_0_10639,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != bigC(c,c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,a,b),bigC(a,b,product(b,a)))
    | bigC(c,c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) ),[0],$fot(bigC(c,c,bigC(a,a,b)))]]) ).

cnf(refute_0_10640,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,a,b),bigC(a,b,product(b,a)))
    | bigC(c,c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),bigC(c,c,bigC(a,a,b))) )],[refute_0_10638,refute_0_10639]) ).

cnf(refute_0_10641,plain,
    bigC(c,c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) )],[refute_0_9708,refute_0_10640]) ).

cnf(refute_0_10642,plain,
    ( bigC(c,c,bigC(a,a,b)) != product(bigC(a,a,b),bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),bigC(a,b,product(b,a))) = bigC(c,c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,c,bigC(a,a,b)))),bind(Y,$fot(product(bigC(a,a,b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_10643,plain,
    product(bigC(a,a,b),bigC(a,b,product(b,a))) = bigC(c,c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(b,a)))) )],[refute_0_10641,refute_0_10642]) ).

cnf(refute_0_10644,plain,
    product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_10645,plain,
    ( product(bigC(a,a,b),bigC(a,b,product(b,a))) != bigC(c,c,bigC(a,a,b))
    | product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))) ),[1,1],$fot(bigC(c,c,bigC(a,a,b)))]]) ).

cnf(refute_0_10646,plain,
    ( product(bigC(a,a,b),bigC(a,b,product(b,a))) != bigC(c,c,bigC(a,a,b))
    | product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))) )],[refute_0_10644,refute_0_10645]) ).

cnf(refute_0_10647,plain,
    product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,product(b,a))),bigC(c,c,bigC(a,a,b))) )],[refute_0_10643,refute_0_10646]) ).

cnf(refute_0_10648,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),X_25) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))) != product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(b,a,b),X_25),product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))) ),[0],$fot(product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_10649,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),X_25) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))
    | bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a)))),product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))) )],[refute_0_10647,refute_0_10648]) ).

cnf(refute_0_10650,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),X_25) = product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),X_25),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,a,b),bigC(a,b,product(b,a))))) )],[refute_0_9695,refute_0_10649]) ).

cnf(refute_0_10651,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),X_25) != product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))
    | product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),X_25) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(bigC(a,a,b),bigC(b,a,b),X_25))),bind(Y,$fot(product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))))]]) ).

cnf(refute_0_10652,plain,
    product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),X_25),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),X_25),product(product(bigC(a,b,product(a,b)),X_25),bigC(c,c,bigC(a,a,b)))) )],[refute_0_10650,refute_0_10651]) ).

cnf(refute_0_10653,plain,
    product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(b,a,b),c),
    inference(subst,[],[refute_0_10652:[bind(X_25,$fot(c))]]) ).

cnf(refute_0_10654,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),c) != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(b,a,b),c)
    | product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(b,a,b),c))),bind(Z,$fot(bigC(bigC(a,a,b),c,bigC(b,a,b))))]]) ).

cnf(refute_0_10655,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),c) != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))),bigC(bigC(a,a,b),bigC(b,a,b),c)) )],[refute_0_10653,refute_0_10654]) ).

cnf(refute_0_10656,plain,
    product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))) )],[refute_0_9496,refute_0_10655]) ).

cnf(refute_0_10657,plain,
    product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) = product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))),
    introduced(tautology,[refl,[$fot(product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))))]]) ).

cnf(refute_0_10658,plain,
    ( product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) != product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))
    | product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))),product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))) ),[1,1],$fot(bigC(bigC(a,a,b),c,bigC(b,a,b)))]]) ).

cnf(refute_0_10659,plain,
    ( product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))) != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))),product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))) )],[refute_0_10657,refute_0_10658]) ).

cnf(refute_0_10660,plain,
    product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))),bigC(bigC(a,a,b),c,bigC(b,a,b))) )],[refute_0_10656,refute_0_10659]) ).

cnf(refute_0_10661,plain,
    product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) = product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(bigC(a,b,product(a,b)))),bind(X_65,$fot(c)),bind(X_67,$fot(bigC(c,c,bigC(a,a,b))))]]) ).

cnf(refute_0_10662,plain,
    ( product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) != product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))
    | product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))))),bind(Y,$fot(product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))))),bind(Z,$fot(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))))]]) ).

cnf(refute_0_10663,plain,
    ( product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b))))) )],[refute_0_10661,refute_0_10662]) ).

cnf(refute_0_10664,plain,
    product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(bigC(a,b,product(a,b)),c),bigC(c,c,bigC(a,a,b)))),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) )],[refute_0_10660,refute_0_10663]) ).

cnf(refute_0_10665,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) = product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a))]]) ).

cnf(refute_0_10666,plain,
    ( product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) != product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a),product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a)) ),[1,0],$fot(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))))]]) ).

cnf(refute_0_10667,plain,
    ( product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a),product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a)) )],[refute_0_10665,refute_0_10666]) ).

cnf(refute_0_10668,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) )],[refute_0_10664,refute_0_10667]) ).

cnf(refute_0_10669,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) = product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(bigC(c,c,bigC(a,b,product(a,b))))),bind(X_24,$fot(product(c,bigC(c,c,bigC(a,a,b))))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10670,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) != product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)))),bind(Y,$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a))),bind(Z,$fot(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)))]]) ).

cnf(refute_0_10671,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)),product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a)) )],[refute_0_10669,refute_0_10670]) ).

cnf(refute_0_10672,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),product(c,bigC(c,c,bigC(a,a,b)))),a),product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)) )],[refute_0_10668,refute_0_10671]) ).

cnf(refute_0_10673,plain,
    bigC(X_89,X_89,product(X_89,X_88)) = product(X_89,bigC(X_89,X_88,X_89)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(X_88)),bind(X_35,$fot(X_89))]]) ).

cnf(refute_0_10674,plain,
    bigC(X_89,X_89,X_88) = bigC(X_89,X_88,X_89),
    inference(subst,[],[refute_0_121:[bind(A,$fot(X_89)),bind(B,$fot(X_89)),bind(C,$fot(X_88))]]) ).

cnf(refute_0_10675,plain,
    ( bigC(X_89,X_89,X_88) != bigC(X_89,X_88,X_89)
    | bigC(X_89,X_88,X_89) = bigC(X_89,X_89,X_88) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_89,X_89,X_88))),bind(Y,$fot(bigC(X_89,X_88,X_89)))]]) ).

cnf(refute_0_10676,plain,
    bigC(X_89,X_88,X_89) = bigC(X_89,X_89,X_88),
    inference(resolve,[$cnf( $equal(bigC(X_89,X_89,X_88),bigC(X_89,X_88,X_89)) )],[refute_0_10674,refute_0_10675]) ).

cnf(refute_0_10677,plain,
    ( bigC(X_89,X_88,X_89) != bigC(X_89,X_89,X_88)
    | bigC(X_89,X_89,product(X_89,X_88)) != product(X_89,bigC(X_89,X_88,X_89))
    | bigC(X_89,X_89,product(X_89,X_88)) = product(X_89,bigC(X_89,X_89,X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_89,X_89,product(X_89,X_88)),product(X_89,bigC(X_89,X_88,X_89))) ),[1,1],$fot(bigC(X_89,X_89,X_88))]]) ).

cnf(refute_0_10678,plain,
    ( bigC(X_89,X_89,product(X_89,X_88)) != product(X_89,bigC(X_89,X_88,X_89))
    | bigC(X_89,X_89,product(X_89,X_88)) = product(X_89,bigC(X_89,X_89,X_88)) ),
    inference(resolve,[$cnf( $equal(bigC(X_89,X_88,X_89),bigC(X_89,X_89,X_88)) )],[refute_0_10676,refute_0_10677]) ).

cnf(refute_0_10679,plain,
    bigC(X_89,X_89,product(X_89,X_88)) = product(X_89,bigC(X_89,X_89,X_88)),
    inference(resolve,[$cnf( $equal(bigC(X_89,X_89,product(X_89,X_88)),product(X_89,bigC(X_89,X_88,X_89))) )],[refute_0_10673,refute_0_10678]) ).

cnf(refute_0_10680,plain,
    ( bigC(X_89,X_89,product(X_89,X_88)) != product(X_89,bigC(X_89,X_88,X_89))
    | bigC(X_89,X_89,product(X_89,X_88)) != product(X_89,bigC(X_89,X_89,X_88))
    | product(X_89,bigC(X_89,X_88,X_89)) = product(X_89,bigC(X_89,X_89,X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_89,X_89,product(X_89,X_88)),product(X_89,bigC(X_89,X_89,X_88))) ),[0],$fot(product(X_89,bigC(X_89,X_88,X_89)))]]) ).

cnf(refute_0_10681,plain,
    ( bigC(X_89,X_89,product(X_89,X_88)) != product(X_89,bigC(X_89,X_89,X_88))
    | product(X_89,bigC(X_89,X_88,X_89)) = product(X_89,bigC(X_89,X_89,X_88)) ),
    inference(resolve,[$cnf( $equal(bigC(X_89,X_89,product(X_89,X_88)),product(X_89,bigC(X_89,X_88,X_89))) )],[refute_0_10673,refute_0_10680]) ).

cnf(refute_0_10682,plain,
    product(X_89,bigC(X_89,X_88,X_89)) = product(X_89,bigC(X_89,X_89,X_88)),
    inference(resolve,[$cnf( $equal(bigC(X_89,X_89,product(X_89,X_88)),product(X_89,bigC(X_89,X_89,X_88))) )],[refute_0_10679,refute_0_10681]) ).

cnf(refute_0_10683,plain,
    product(c,bigC(c,bigC(a,a,b),c)) = product(c,bigC(c,c,bigC(a,a,b))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(bigC(a,a,b))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_10684,plain,
    bigC(c,c,product(c,bigC(a,a,b))) = product(c,bigC(c,bigC(a,a,b),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(a,a,b))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_10685,plain,
    ( bigC(c,c,product(c,bigC(a,a,b))) != product(c,bigC(c,bigC(a,a,b),c))
    | product(c,bigC(c,bigC(a,a,b),c)) != product(c,bigC(c,c,bigC(a,a,b)))
    | bigC(c,c,product(c,bigC(a,a,b))) = product(c,bigC(c,c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,bigC(a,a,b))))),bind(Y,$fot(product(c,bigC(c,bigC(a,a,b),c)))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,b)))))]]) ).

cnf(refute_0_10686,plain,
    ( product(c,bigC(c,bigC(a,a,b),c)) != product(c,bigC(c,c,bigC(a,a,b)))
    | bigC(c,c,product(c,bigC(a,a,b))) = product(c,bigC(c,c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(a,a,b))),product(c,bigC(c,bigC(a,a,b),c))) )],[refute_0_10684,refute_0_10685]) ).

cnf(refute_0_10687,plain,
    bigC(c,c,product(c,bigC(a,a,b))) = product(c,bigC(c,c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(a,a,b),c)),product(c,bigC(c,c,bigC(a,a,b)))) )],[refute_0_10683,refute_0_10686]) ).

cnf(refute_0_10688,plain,
    product(c,product(c,product(bigC(a,a,b),c))) = bigC(c,c,product(c,bigC(a,a,b))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(bigC(a,a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_10689,plain,
    ( bigC(c,c,product(c,bigC(a,a,b))) != product(c,bigC(c,c,bigC(a,a,b)))
    | product(c,product(c,product(bigC(a,a,b),c))) != bigC(c,c,product(c,bigC(a,a,b)))
    | product(c,product(c,product(bigC(a,a,b),c))) = product(c,bigC(c,c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(c,product(bigC(a,a,b),c))))),bind(Y,$fot(bigC(c,c,product(c,bigC(a,a,b))))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,b)))))]]) ).

cnf(refute_0_10690,plain,
    ( bigC(c,c,product(c,bigC(a,a,b))) != product(c,bigC(c,c,bigC(a,a,b)))
    | product(c,product(c,product(bigC(a,a,b),c))) = product(c,bigC(c,c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(bigC(a,a,b),c))),bigC(c,c,product(c,bigC(a,a,b)))) )],[refute_0_10688,refute_0_10689]) ).

cnf(refute_0_10691,plain,
    product(c,product(c,product(bigC(a,a,b),c))) = product(c,bigC(c,c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(a,a,b))),product(c,bigC(c,c,bigC(a,a,b)))) )],[refute_0_10687,refute_0_10690]) ).

cnf(refute_0_10692,plain,
    product(product(c,product(c,product(bigC(a,a,b),c))),a) = product(product(c,product(c,product(bigC(a,a,b),c))),a),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,product(bigC(a,a,b),c))),a))]]) ).

cnf(refute_0_10693,plain,
    ( product(c,product(c,product(bigC(a,a,b),c))) != product(c,bigC(c,c,bigC(a,a,b)))
    | product(product(c,product(c,product(bigC(a,a,b),c))),a) != product(product(c,product(c,product(bigC(a,a,b),c))),a)
    | product(product(c,product(c,product(bigC(a,a,b),c))),a) = product(product(c,bigC(c,c,bigC(a,a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,product(bigC(a,a,b),c))),a),product(product(c,product(c,product(bigC(a,a,b),c))),a)) ),[1,0],$fot(product(c,bigC(c,c,bigC(a,a,b))))]]) ).

cnf(refute_0_10694,plain,
    ( product(c,product(c,product(bigC(a,a,b),c))) != product(c,bigC(c,c,bigC(a,a,b)))
    | product(product(c,product(c,product(bigC(a,a,b),c))),a) = product(product(c,bigC(c,c,bigC(a,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(bigC(a,a,b),c))),a),product(product(c,product(c,product(bigC(a,a,b),c))),a)) )],[refute_0_10692,refute_0_10693]) ).

cnf(refute_0_10695,plain,
    product(product(c,product(c,product(bigC(a,a,b),c))),a) = product(product(c,bigC(c,c,bigC(a,a,b))),a),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(bigC(a,a,b),c))),product(c,bigC(c,c,bigC(a,a,b)))) )],[refute_0_10691,refute_0_10694]) ).

cnf(refute_0_10696,plain,
    product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))) = product(product(c,product(c,product(bigC(a,a,b),c))),a),
    inference(subst,[],[refute_0_2075:[bind(X_96,$fot(c)),bind(X_97,$fot(product(bigC(a,a,b),c))),bind(X_98,$fot(a))]]) ).

cnf(refute_0_10697,plain,
    product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(c,a))),bind(X_36,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_10698,plain,
    ( product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) != product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c)))
    | product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))) != product(product(c,product(c,product(bigC(a,a,b),c))),a)
    | product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,product(c,product(bigC(a,a,b),c))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))))),bind(Z,$fot(product(product(c,product(c,product(bigC(a,a,b),c))),a)))]]) ).

cnf(refute_0_10699,plain,
    ( product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))) != product(product(c,product(c,product(bigC(a,a,b),c))),a)
    | product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,product(c,product(bigC(a,a,b),c))),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))),product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c)))) )],[refute_0_10697,refute_0_10698]) ).

cnf(refute_0_10700,plain,
    product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,product(c,product(bigC(a,a,b),c))),a),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,product(bigC(a,a,b),c))),product(product(c,product(c,product(bigC(a,a,b),c))),a)) )],[refute_0_10696,refute_0_10699]) ).

cnf(refute_0_10701,plain,
    ( product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) != product(product(c,product(c,product(bigC(a,a,b),c))),a)
    | product(product(c,product(c,product(bigC(a,a,b),c))),a) != product(product(c,bigC(c,c,bigC(a,a,b))),a)
    | product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,bigC(c,c,bigC(a,a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))),bind(Y,$fot(product(product(c,product(c,product(bigC(a,a,b),c))),a))),bind(Z,$fot(product(product(c,bigC(c,c,bigC(a,a,b))),a)))]]) ).

cnf(refute_0_10702,plain,
    ( product(product(c,product(c,product(bigC(a,a,b),c))),a) != product(product(c,bigC(c,c,bigC(a,a,b))),a)
    | product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,bigC(c,c,bigC(a,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))),product(product(c,product(c,product(bigC(a,a,b),c))),a)) )],[refute_0_10700,refute_0_10701]) ).

cnf(refute_0_10703,plain,
    product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) = product(product(c,bigC(c,c,bigC(a,a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(bigC(a,a,b),c))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) )],[refute_0_10695,refute_0_10702]) ).

cnf(refute_0_10704,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))))]]) ).

cnf(refute_0_10705,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))
    | product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) != product(product(c,bigC(c,c,bigC(a,a,b))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))) ),[1,1],$fot(product(product(c,bigC(c,c,bigC(a,a,b))),a))]]) ).

cnf(refute_0_10706,plain,
    ( product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))) != product(product(c,bigC(c,c,bigC(a,a,b))),a)
    | product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))) )],[refute_0_10704,refute_0_10705]) ).

cnf(refute_0_10707,plain,
    product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))),product(product(c,bigC(c,c,bigC(a,a,b))),a)) )],[refute_0_10703,refute_0_10706]) ).

cnf(refute_0_10708,plain,
    product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)))]]) ).

cnf(refute_0_10709,plain,
    ( product(a,a) != a
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a))
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)),product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_10710,plain,
    ( product(a,a) != a
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)),product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a))) )],[refute_0_10708,refute_0_10709]) ).

cnf(refute_0_10711,plain,
    product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_10710]) ).

cnf(refute_0_10712,plain,
    product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(c)),bind(X_25,$fot(bigC(a,b,product(a,b)))),bind(X_26,$fot(a)),bind(X_97,$fot(a))]]) ).

cnf(refute_0_10713,plain,
    ( product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a))
    | product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)))),bind(Y,$fot(product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)))),bind(Z,$fot(product(bigC(c,c,bigC(a,b,product(a,b))),a)))]]) ).

cnf(refute_0_10714,plain,
    ( product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)),product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a))) )],[refute_0_10712,refute_0_10713]) ).

cnf(refute_0_10715,plain,
    product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(a,b,product(a,b))),product(a,a)),product(bigC(c,c,bigC(a,b,product(a,b))),a)) )],[refute_0_10711,refute_0_10714]) ).

cnf(refute_0_10716,plain,
    product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) = product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(bigC(a,b,product(a,b)))),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10717,plain,
    ( product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) != product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a))
    | product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)))),bind(Y,$fot(product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)))),bind(Z,$fot(product(bigC(c,c,bigC(a,b,product(a,b))),a)))]]) ).

cnf(refute_0_10718,plain,
    ( product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)),product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a))) )],[refute_0_10716,refute_0_10717]) ).

cnf(refute_0_10719,plain,
    product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,bigC(a,b,product(a,b)),c),product(a,a)),product(bigC(c,c,bigC(a,b,product(a,b))),a)) )],[refute_0_10715,refute_0_10718]) ).

cnf(refute_0_10720,plain,
    bigC(product(c,a),product(c,a),product(product(c,a),bigC(a,a,b))) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(a,a,b))),bind(X_35,$fot(product(c,a)))]]) ).

cnf(refute_0_10721,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),bigC(a,a,b))) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | product(product(c,a),bigC(a,a,b)) != bigC(a,a,product(b,c))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),bigC(a,a,b))),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) ),[0,2],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_10722,plain,
    ( bigC(product(c,a),product(c,a),product(product(c,a),bigC(a,a,b))) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(a,a,product(b,c))) )],[refute_0_2441,refute_0_10721]) ).

cnf(refute_0_10723,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(product(c,a),bigC(a,a,b))),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) )],[refute_0_10720,refute_0_10722]) ).

cnf(refute_0_10724,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(a,a,product(b,c)))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_10725,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) ),[0],$fot(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)))]]) ).

cnf(refute_0_10726,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))) )],[refute_0_10724,refute_0_10725]) ).

cnf(refute_0_10727,plain,
    bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(product(product(c,a),bigC(a,a,b)),product(c,a)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,a))),bind(X_18,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10728,plain,
    ( bigC(product(c,a),bigC(a,a,b),product(c,a)) != product(product(product(c,a),bigC(a,a,b)),product(c,a))
    | product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(bigC(c,a,product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),product(product(product(c,a),bigC(a,a,b)),product(c,a))) ),[1,0],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_10729,plain,
    ( bigC(product(c,a),bigC(a,a,b),product(c,a)) != product(product(product(c,a),bigC(a,a,b)),product(c,a))
    | bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(bigC(c,a,product(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_2171,refute_0_10728]) ).

cnf(refute_0_10730,plain,
    bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(bigC(c,a,product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),product(product(product(c,a),bigC(a,a,b)),product(c,a))) )],[refute_0_10727,refute_0_10729]) ).

cnf(refute_0_10731,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,b)) = product(product(c,bigC(a,a,b)),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(a,a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_10732,plain,
    bigC(product(c,a),bigC(a,a,b),product(c,a)) = bigC(product(c,a),product(c,a),bigC(a,a,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,a))),bind(B,$fot(product(c,a))),bind(C,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10733,plain,
    ( bigC(product(c,a),bigC(a,a,b),product(c,a)) != bigC(product(c,a),product(c,a),bigC(a,a,b))
    | bigC(product(c,a),product(c,a),bigC(a,a,b)) != product(product(c,bigC(a,a,b)),bigC(a,a,c))
    | bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(product(c,bigC(a,a,b)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),bigC(a,a,b),product(c,a)))),bind(Y,$fot(bigC(product(c,a),product(c,a),bigC(a,a,b)))),bind(Z,$fot(product(product(c,bigC(a,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_10734,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,b)) != product(product(c,bigC(a,a,b)),bigC(a,a,c))
    | bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(product(c,bigC(a,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),bigC(product(c,a),product(c,a),bigC(a,a,b))) )],[refute_0_10732,refute_0_10733]) ).

cnf(refute_0_10735,plain,
    bigC(product(c,a),bigC(a,a,b),product(c,a)) = product(product(c,bigC(a,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,c))) )],[refute_0_10731,refute_0_10734]) ).

cnf(refute_0_10736,plain,
    ( bigC(product(c,a),bigC(a,a,b),product(c,a)) != product(bigC(c,a,product(c,a)),product(c,a))
    | bigC(product(c,a),bigC(a,a,b),product(c,a)) != product(product(c,bigC(a,a,b)),bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(c,a,product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),product(bigC(c,a,product(c,a)),product(c,a))) ),[0],$fot(product(product(c,bigC(a,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_10737,plain,
    ( bigC(product(c,a),bigC(a,a,b),product(c,a)) != product(bigC(c,a,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(c,a,product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),product(product(c,bigC(a,a,b)),bigC(a,a,c))) )],[refute_0_10735,refute_0_10736]) ).

cnf(refute_0_10738,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(c,a,product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),product(c,a)),product(bigC(c,a,product(c,a)),product(c,a))) )],[refute_0_10730,refute_0_10737]) ).

cnf(refute_0_10739,plain,
    product(bigC(c,a,product(c,a)),product(c,a)) = product(bigC(c,a,product(c,a)),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,product(c,a)),product(c,a)))]]) ).

cnf(refute_0_10740,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,product(c,a)),product(c,a)) != product(bigC(c,a,product(c,a)),product(c,a))
    | product(bigC(c,a,product(c,a)),product(c,a)) = product(bigC(a,c,product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,product(c,a)),product(c,a)),product(bigC(c,a,product(c,a)),product(c,a))) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_10741,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,product(c,a)),product(c,a)) = product(bigC(a,c,product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),product(c,a)),product(bigC(c,a,product(c,a)),product(c,a))) )],[refute_0_10739,refute_0_10740]) ).

cnf(refute_0_10742,plain,
    product(bigC(c,a,product(c,a)),product(c,a)) = product(bigC(a,c,product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2295,refute_0_10741]) ).

cnf(refute_0_10743,plain,
    ( product(bigC(c,a,product(c,a)),product(c,a)) != product(bigC(a,c,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) != product(bigC(c,a,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(a,c,product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,c)),product(bigC(c,a,product(c,a)),product(c,a))) ),[1],$fot(product(bigC(a,c,product(c,a)),product(c,a)))]]) ).

cnf(refute_0_10744,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,c)) != product(bigC(c,a,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(a,c,product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),product(c,a)),product(bigC(a,c,product(c,a)),product(c,a))) )],[refute_0_10742,refute_0_10743]) ).

cnf(refute_0_10745,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,c)) = product(bigC(a,c,product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,c)),product(bigC(c,a,product(c,a)),product(c,a))) )],[refute_0_10738,refute_0_10744]) ).

cnf(refute_0_10746,plain,
    bigC(a,product(product(b,c),a),c) = bigC(a,c,product(product(b,c),a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_10747,plain,
    product(bigC(a,a,product(b,c)),product(c,a)) = bigC(a,product(product(b,c),a),c),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(a)),bind(C,$fot(c)),bind(X_36,$fot(product(b,c)))]]) ).

cnf(refute_0_10748,plain,
    ( bigC(a,product(product(b,c),a),c) != bigC(a,c,product(product(b,c),a))
    | product(bigC(a,a,product(b,c)),product(c,a)) != bigC(a,product(product(b,c),a),c)
    | product(bigC(a,a,product(b,c)),product(c,a)) = bigC(a,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,product(b,c)),product(c,a)))),bind(Y,$fot(bigC(a,product(product(b,c),a),c))),bind(Z,$fot(bigC(a,c,product(product(b,c),a))))]]) ).

cnf(refute_0_10749,plain,
    ( bigC(a,product(product(b,c),a),c) != bigC(a,c,product(product(b,c),a))
    | product(bigC(a,a,product(b,c)),product(c,a)) = bigC(a,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(c,a)),bigC(a,product(product(b,c),a),c)) )],[refute_0_10747,refute_0_10748]) ).

cnf(refute_0_10750,plain,
    product(bigC(a,a,product(b,c)),product(c,a)) = bigC(a,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(product(b,c),a),c),bigC(a,c,product(product(b,c),a))) )],[refute_0_10746,refute_0_10749]) ).

cnf(refute_0_10751,plain,
    product(bigC(a,c,product(c,a)),product(c,a)) = product(bigC(a,c,product(c,a)),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,a)),product(c,a)))]]) ).

cnf(refute_0_10752,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),product(c,a)) != product(bigC(a,c,product(c,a)),product(c,a))
    | product(bigC(a,c,product(c,a)),product(c,a)) = product(bigC(a,a,product(b,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(c,a)),product(bigC(a,c,product(c,a)),product(c,a))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_10753,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),product(c,a)) = product(bigC(a,a,product(b,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(c,a)),product(bigC(a,c,product(c,a)),product(c,a))) )],[refute_0_10751,refute_0_10752]) ).

cnf(refute_0_10754,plain,
    product(bigC(a,c,product(c,a)),product(c,a)) = product(bigC(a,a,product(b,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_10753]) ).

cnf(refute_0_10755,plain,
    ( product(bigC(a,a,product(b,c)),product(c,a)) != bigC(a,c,product(product(b,c),a))
    | product(bigC(a,c,product(c,a)),product(c,a)) != product(bigC(a,a,product(b,c)),product(c,a))
    | product(bigC(a,c,product(c,a)),product(c,a)) = bigC(a,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,c,product(c,a)),product(c,a)))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(c,a)))),bind(Z,$fot(bigC(a,c,product(product(b,c),a))))]]) ).

cnf(refute_0_10756,plain,
    ( product(bigC(a,a,product(b,c)),product(c,a)) != bigC(a,c,product(product(b,c),a))
    | product(bigC(a,c,product(c,a)),product(c,a)) = bigC(a,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(c,a)),product(bigC(a,a,product(b,c)),product(c,a))) )],[refute_0_10754,refute_0_10755]) ).

cnf(refute_0_10757,plain,
    product(bigC(a,c,product(c,a)),product(c,a)) = bigC(a,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(c,a)),bigC(a,c,product(product(b,c),a))) )],[refute_0_10750,refute_0_10756]) ).

cnf(refute_0_10758,plain,
    ( product(bigC(a,c,product(c,a)),product(c,a)) != bigC(a,c,product(product(b,c),a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) != product(bigC(a,c,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = bigC(a,c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,c)),product(bigC(a,c,product(c,a)),product(c,a))) ),[1],$fot(bigC(a,c,product(product(b,c),a)))]]) ).

cnf(refute_0_10759,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,c)) != product(bigC(a,c,product(c,a)),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) = bigC(a,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(c,a)),bigC(a,c,product(product(b,c),a))) )],[refute_0_10757,refute_0_10758]) ).

cnf(refute_0_10760,plain,
    product(product(c,bigC(a,a,b)),bigC(a,a,c)) = bigC(a,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,c)),product(bigC(a,c,product(c,a)),product(c,a))) )],[refute_0_10745,refute_0_10759]) ).

cnf(refute_0_10761,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,b)) != product(product(c,bigC(a,a,b)),bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,a,c)) != bigC(a,c,product(product(b,c),a))
    | bigC(product(c,a),product(c,a),bigC(a,a,b)) = bigC(a,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),bigC(a,a,b)))),bind(Y,$fot(product(product(c,bigC(a,a,b)),bigC(a,a,c)))),bind(Z,$fot(bigC(a,c,product(product(b,c),a))))]]) ).

cnf(refute_0_10762,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,a,c)) != bigC(a,c,product(product(b,c),a))
    | bigC(product(c,a),product(c,a),bigC(a,a,b)) = bigC(a,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(a,a,c))) )],[refute_0_10731,refute_0_10761]) ).

cnf(refute_0_10763,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,b)) = bigC(a,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,a,c)),bigC(a,c,product(product(b,c),a))) )],[refute_0_10760,refute_0_10762]) ).

cnf(refute_0_10764,plain,
    product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) = product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_10765,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,b)) != bigC(a,c,product(product(b,c),a))
    | product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) != product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))),product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,c,product(product(b,c),a)))]]) ).

cnf(refute_0_10766,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,b)) != bigC(a,c,product(product(b,c),a))
    | product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))),product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b)))) )],[refute_0_10764,refute_0_10765]) ).

cnf(refute_0_10767,plain,
    product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) = product(product(c,a),bigC(a,c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,b)),bigC(a,c,product(product(b,c),a))) )],[refute_0_10763,refute_0_10766]) ).

cnf(refute_0_10768,plain,
    product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) = product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(bigC(a,a,b))),bind(X_89,$fot(product(c,a)))]]) ).

cnf(refute_0_10769,plain,
    ( product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) != product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))))),bind(Y,$fot(product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))))),bind(Z,$fot(product(product(c,a),bigC(a,c,product(product(b,c),a)))))]]) ).

cnf(refute_0_10770,plain,
    ( product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))),product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b)))) )],[refute_0_10768,refute_0_10769]) ).

cnf(refute_0_10771,plain,
    product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) = product(product(c,a),bigC(a,c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(product(c,a),product(c,a),bigC(a,a,b))),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10767,refute_0_10770]) ).

cnf(refute_0_10772,plain,
    ( product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) ),[1],$fot(product(product(c,a),bigC(a,c,product(product(b,c),a))))]]) ).

cnf(refute_0_10773,plain,
    ( product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a))),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10771,refute_0_10772]) ).

cnf(refute_0_10774,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) )],[refute_0_10726,refute_0_10773]) ).

cnf(refute_0_10775,plain,
    product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,a),bigC(a,c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,a),bigC(product(c,a),bigC(a,a,b),product(c,a)))) )],[refute_0_10723,refute_0_10774]) ).

cnf(refute_0_10776,plain,
    bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(product(c,a),bigC(a,a,product(b,c))),product(c,a)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,a))),bind(X_18,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_10777,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(product(c,a),bigC(a,a,product(b,c))),product(c,a))
    | product(product(c,a),bigC(a,a,product(b,c))) != product(product(bigC(a,a,b),c),a)
    | bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(product(bigC(a,a,b),c),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),product(product(product(c,a),bigC(a,a,product(b,c))),product(c,a))) ),[1,0],$fot(product(product(bigC(a,a,b),c),a))]]) ).

cnf(refute_0_10778,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(product(c,a),bigC(a,a,product(b,c))),product(c,a))
    | bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(product(bigC(a,a,b),c),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,product(b,c))),product(product(bigC(a,a,b),c),a)) )],[refute_0_9492,refute_0_10777]) ).

cnf(refute_0_10779,plain,
    bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(product(bigC(a,a,b),c),a),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),product(product(product(c,a),bigC(a,a,product(b,c))),product(c,a))) )],[refute_0_10776,refute_0_10778]) ).

cnf(refute_0_10780,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))))),bind(Y,$fot(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)))),bind(Z,$fot(product(product(c,a),bigC(a,c,product(product(b,c),a)))))]]) ).

cnf(refute_0_10781,plain,
    ( product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))) )],[refute_0_10724,refute_0_10780]) ).

cnf(refute_0_10782,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,a),bigC(a,c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10775,refute_0_10781]) ).

cnf(refute_0_10783,plain,
    bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,a))),bind(B,$fot(product(c,a))),bind(C,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_10784,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != bigC(product(c,a),product(c,a),bigC(a,a,product(b,c)))
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)))),bind(Y,$fot(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))))),bind(Z,$fot(product(product(c,a),bigC(a,c,product(product(b,c),a)))))]]) ).

cnf(refute_0_10785,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(c,a),bigC(a,c,product(product(b,c),a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),bigC(product(c,a),product(c,a),bigC(a,a,product(b,c)))) )],[refute_0_10783,refute_0_10784]) ).

cnf(refute_0_10786,plain,
    bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) = product(product(c,a),bigC(a,c,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10782,refute_0_10785]) ).

cnf(refute_0_10787,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(product(bigC(a,a,b),c),a),product(c,a))
    | product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(product(bigC(a,a,b),c),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),product(product(product(bigC(a,a,b),c),a),product(c,a))) ),[0],$fot(product(product(c,a),bigC(a,c,product(product(b,c),a))))]]) ).

cnf(refute_0_10788,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(product(bigC(a,a,b),c),a),product(c,a))
    | product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(product(bigC(a,a,b),c),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10786,refute_0_10787]) ).

cnf(refute_0_10789,plain,
    bigC(c,product(c,product(a,b)),c) = product(product(c,product(c,product(a,b))),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_10790,plain,
    ( bigC(c,product(c,product(a,b)),c) != product(product(c,product(c,product(a,b))),c)
    | product(c,product(c,product(a,b))) != product(bigC(c,a,c),c)
    | bigC(c,product(c,product(a,b)),c) = product(product(bigC(c,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(product(c,product(c,product(a,b))),c)) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_10791,plain,
    ( bigC(c,product(c,product(a,b)),c) != product(product(c,product(c,product(a,b))),c)
    | bigC(c,product(c,product(a,b)),c) = product(product(bigC(c,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,b))),product(bigC(c,a,c),c)) )],[refute_0_3132,refute_0_10790]) ).

cnf(refute_0_10792,plain,
    bigC(c,product(c,product(a,b)),c) = product(product(bigC(c,a,c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(product(c,product(c,product(a,b))),c)) )],[refute_0_10789,refute_0_10791]) ).

cnf(refute_0_10793,plain,
    bigC(c,product(c,product(a,b)),c) = bigC(c,c,product(c,product(a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_10794,plain,
    ( bigC(c,c,product(c,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | bigC(c,product(c,product(a,b)),c) != bigC(c,c,product(c,product(a,b)))
    | bigC(c,product(c,product(a,b)),c) = product(c,bigC(c,product(a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(a,b)),c))),bind(Y,$fot(bigC(c,c,product(c,product(a,b))))),bind(Z,$fot(product(c,bigC(c,product(a,b),c))))]]) ).

cnf(refute_0_10795,plain,
    ( bigC(c,c,product(c,product(a,b))) != product(c,bigC(c,product(a,b),c))
    | bigC(c,product(c,product(a,b)),c) = product(c,bigC(c,product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),bigC(c,c,product(c,product(a,b)))) )],[refute_0_10793,refute_0_10794]) ).

cnf(refute_0_10796,plain,
    bigC(c,product(c,product(a,b)),c) = product(c,bigC(c,product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(a,b))),product(c,bigC(c,product(a,b),c))) )],[refute_0_1522,refute_0_10795]) ).

cnf(refute_0_10797,plain,
    ( bigC(c,product(c,product(a,b)),c) != product(c,bigC(c,product(a,b),c))
    | product(c,bigC(c,product(a,b),c)) != product(c,bigC(b,a,product(a,b)))
    | bigC(c,product(c,product(a,b)),c) = product(c,bigC(b,a,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(a,b)),c))),bind(Y,$fot(product(c,bigC(c,product(a,b),c)))),bind(Z,$fot(product(c,bigC(b,a,product(a,b)))))]]) ).

cnf(refute_0_10798,plain,
    ( product(c,bigC(c,product(a,b),c)) != product(c,bigC(b,a,product(a,b)))
    | bigC(c,product(c,product(a,b)),c) = product(c,bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(c,bigC(c,product(a,b),c))) )],[refute_0_10796,refute_0_10797]) ).

cnf(refute_0_10799,plain,
    bigC(c,product(c,product(a,b)),c) = product(c,bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(a,b),c)),product(c,bigC(b,a,product(a,b)))) )],[refute_0_1521,refute_0_10798]) ).

cnf(refute_0_10800,plain,
    ( bigC(c,product(c,product(a,b)),c) != product(c,bigC(b,a,product(a,b)))
    | bigC(c,product(c,product(a,b)),c) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(b,a,product(a,b))) = product(product(bigC(c,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(product(bigC(c,a,c),c),c)) ),[0],$fot(product(c,bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_10801,plain,
    ( bigC(c,product(c,product(a,b)),c) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(b,a,product(a,b))) = product(product(bigC(c,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(c,bigC(b,a,product(a,b)))) )],[refute_0_10799,refute_0_10800]) ).

cnf(refute_0_10802,plain,
    product(c,bigC(b,a,product(a,b))) = product(product(bigC(c,a,c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(a,b)),c),product(product(bigC(c,a,c),c),c)) )],[refute_0_10792,refute_0_10801]) ).

cnf(refute_0_10803,plain,
    product(c,bigC(b,a,product(a,b))) = product(c,bigC(b,a,product(a,b))),
    introduced(tautology,[refl,[$fot(product(c,bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_10804,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(c,bigC(b,a,product(a,b))) != product(c,bigC(b,a,product(a,b)))
    | product(c,bigC(b,a,product(a,b))) = product(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(b,a,product(a,b))),product(c,bigC(b,a,product(a,b)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_10805,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(c,bigC(b,a,product(a,b))) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,a,product(a,b))),product(c,bigC(b,a,product(a,b)))) )],[refute_0_10803,refute_0_10804]) ).

cnf(refute_0_10806,plain,
    product(c,bigC(b,a,product(a,b))) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_10805]) ).

cnf(refute_0_10807,plain,
    ( product(c,bigC(b,a,product(a,b))) != product(c,bigC(a,b,product(a,b)))
    | product(c,bigC(b,a,product(a,b))) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(a,b,product(a,b))) = product(product(bigC(c,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(b,a,product(a,b))),product(product(bigC(c,a,c),c),c)) ),[0],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_10808,plain,
    ( product(c,bigC(b,a,product(a,b))) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(a,b,product(a,b))) = product(product(bigC(c,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,a,product(a,b))),product(c,bigC(a,b,product(a,b)))) )],[refute_0_10806,refute_0_10807]) ).

cnf(refute_0_10809,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_10810,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_10811,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_10809,refute_0_10810]) ).

cnf(refute_0_10812,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_2712,refute_0_10811]) ).

cnf(refute_0_10813,plain,
    ( product(c,bigC(a,b,product(a,b))) != 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(c,bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,b,product(a,b))),product(product(bigC(a,a,b),c),c)) ),[0],$fot(product(product(bigC(c,a,c),c),c))]]) ).

cnf(refute_0_10814,plain,
    ( product(c,bigC(a,b,product(a,b))) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(a,b,product(a,b))) = 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_10812,refute_0_10813]) ).

cnf(refute_0_10815,plain,
    ( product(c,bigC(b,a,product(a,b))) != product(product(bigC(c,a,c),c),c)
    | product(c,bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(a,b))),product(product(bigC(c,a,c),c),c)) )],[refute_0_10808,refute_0_10814]) ).

cnf(refute_0_10816,plain,
    product(c,bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,a,product(a,b))),product(product(bigC(c,a,c),c),c)) )],[refute_0_10802,refute_0_10815]) ).

cnf(refute_0_10817,plain,
    ( product(c,bigC(a,b,product(a,b))) != product(product(bigC(a,a,b),c),c)
    | product(product(bigC(a,a,b),c),c) = product(c,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(a,b,product(a,b))))),bind(Y,$fot(product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_10818,plain,
    product(product(bigC(a,a,b),c),c) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(a,b))),product(product(bigC(a,a,b),c),c)) )],[refute_0_10816,refute_0_10817]) ).

cnf(refute_0_10819,plain,
    product(product(product(bigC(a,a,b),c),c),a) = product(product(product(bigC(a,a,b),c),c),a),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,b),c),c),a))]]) ).

cnf(refute_0_10820,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),c),a) != product(product(product(bigC(a,a,b),c),c),a)
    | product(product(product(bigC(a,a,b),c),c),a) = product(product(c,bigC(a,b,product(a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,b),c),c),a),product(product(product(bigC(a,a,b),c),c),a)) ),[1,0],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_10821,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),c),a) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),c),a),product(product(product(bigC(a,a,b),c),c),a)) )],[refute_0_10819,refute_0_10820]) ).

cnf(refute_0_10822,plain,
    product(product(product(bigC(a,a,b),c),c),a) = product(product(c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),c),product(c,bigC(a,b,product(a,b)))) )],[refute_0_10818,refute_0_10821]) ).

cnf(refute_0_10823,plain,
    product(product(product(bigC(a,a,b),c),a),product(c,a)) = product(product(product(bigC(a,a,b),c),c),a),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(product(bigC(a,a,b),c))),bind(X_24,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_10824,plain,
    ( product(product(product(bigC(a,a,b),c),a),product(c,a)) != product(product(product(bigC(a,a,b),c),c),a)
    | product(product(product(bigC(a,a,b),c),c),a) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(product(product(bigC(a,a,b),c),a),product(c,a)) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,b),c),a),product(c,a)))),bind(Y,$fot(product(product(product(bigC(a,a,b),c),c),a))),bind(Z,$fot(product(product(c,bigC(a,b,product(a,b))),a)))]]) ).

cnf(refute_0_10825,plain,
    ( product(product(product(bigC(a,a,b),c),c),a) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(product(product(bigC(a,a,b),c),a),product(c,a)) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),a),product(c,a)),product(product(product(bigC(a,a,b),c),c),a)) )],[refute_0_10823,refute_0_10824]) ).

cnf(refute_0_10826,plain,
    product(product(product(bigC(a,a,b),c),a),product(c,a)) = product(product(c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),c),a),product(product(c,bigC(a,b,product(a,b))),a)) )],[refute_0_10822,refute_0_10825]) ).

cnf(refute_0_10827,plain,
    ( product(product(c,a),bigC(a,c,product(product(b,c),a))) != product(product(product(bigC(a,a,b),c),a),product(c,a))
    | product(product(product(bigC(a,a,b),c),a),product(c,a)) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(c,bigC(a,b,product(a,b))),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,a),bigC(a,c,product(product(b,c),a))),product(product(c,bigC(a,b,product(a,b))),a)) ),[0],$fot(product(product(product(bigC(a,a,b),c),a),product(c,a)))]]) ).

cnf(refute_0_10828,plain,
    ( product(product(c,a),bigC(a,c,product(product(b,c),a))) != product(product(product(bigC(a,a,b),c),a),product(c,a))
    | product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),a),product(c,a)),product(product(c,bigC(a,b,product(a,b))),a)) )],[refute_0_10826,refute_0_10827]) ).

cnf(refute_0_10829,plain,
    ( bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)) != product(product(product(bigC(a,a,b),c),a),product(c,a))
    | product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,c,product(product(b,c),a))),product(product(product(bigC(a,a,b),c),a),product(c,a))) )],[refute_0_10788,refute_0_10828]) ).

cnf(refute_0_10830,plain,
    product(product(c,a),bigC(a,c,product(product(b,c),a))) = product(product(c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,product(b,c)),product(c,a)),product(product(product(bigC(a,a,b),c),a),product(c,a))) )],[refute_0_10779,refute_0_10829]) ).

cnf(refute_0_10831,plain,
    ( product(product(c,a),bigC(a,c,product(product(b,c),a))) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,bigC(a,b,product(a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,a),bigC(a,c,product(product(b,c),a)))) ),[1],$fot(product(product(c,bigC(a,b,product(a,b))),a))]]) ).

cnf(refute_0_10832,plain,
    ( product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,a),bigC(a,c,product(product(b,c),a)))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,c,product(product(b,c),a))),product(product(c,bigC(a,b,product(a,b))),a)) )],[refute_0_10830,refute_0_10831]) ).

cnf(refute_0_10833,plain,
    product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) = product(product(c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,a),bigC(a,c,product(product(b,c),a)))) )],[refute_0_10775,refute_0_10832]) ).

cnf(refute_0_10834,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))
    | product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,bigC(a,b,product(a,b))),a)
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))))),bind(Y,$fot(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)))),bind(Z,$fot(product(product(c,bigC(a,b,product(a,b))),a)))]]) ).

cnf(refute_0_10835,plain,
    ( product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)) != product(product(c,bigC(a,b,product(a,b))),a)
    | bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c))) )],[refute_0_10724,refute_0_10834]) ).

cnf(refute_0_10836,plain,
    bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) = product(product(c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,product(b,c))),bigC(a,a,c)),product(product(c,bigC(a,b,product(a,b))),a)) )],[refute_0_10833,refute_0_10835]) ).

cnf(refute_0_10837,plain,
    product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)))]]) ).

cnf(refute_0_10838,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) != product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a))
    | product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a))) ),[1,0],$fot(product(product(c,bigC(a,b,product(a,b))),a))]]) ).

cnf(refute_0_10839,plain,
    ( bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))) != product(product(c,bigC(a,b,product(a,b))),a)
    | product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a))) )],[refute_0_10837,refute_0_10838]) ).

cnf(refute_0_10840,plain,
    product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(product(c,bigC(a,b,product(a,b))),a)) )],[refute_0_10836,refute_0_10839]) ).

cnf(refute_0_10841,plain,
    ( product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) != product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a))
    | product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)))),bind(Y,$fot(product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)))),bind(Z,$fot(product(bigC(c,c,bigC(a,b,product(a,b))),a)))]]) ).

cnf(refute_0_10842,plain,
    ( product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a))) )],[refute_0_10840,refute_0_10841]) ).

cnf(refute_0_10843,plain,
    product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) = product(bigC(c,c,bigC(a,b,product(a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(a,b,product(a,b))),a),product(c,a)),product(bigC(c,c,bigC(a,b,product(a,b))),a)) )],[refute_0_10719,refute_0_10842]) ).

cnf(refute_0_10844,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))))]]) ).

cnf(refute_0_10845,plain,
    ( product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))) ),[1,0],$fot(product(bigC(c,c,bigC(a,b,product(a,b))),a))]]) ).

cnf(refute_0_10846,plain,
    ( product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)) != product(bigC(c,c,bigC(a,b,product(a,b))),a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))) )],[refute_0_10844,refute_0_10845]) ).

cnf(refute_0_10847,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(bigC(c,c,bigC(a,b,product(a,b))),a)) )],[refute_0_10843,refute_0_10846]) ).

cnf(refute_0_10848,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))))),bind(Y,$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))))),bind(Z,$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))))]]) ).

cnf(refute_0_10849,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a))))) )],[refute_0_10847,refute_0_10848]) ).

cnf(refute_0_10850,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))) )],[refute_0_10707,refute_0_10849]) ).

cnf(refute_0_10851,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))))),bind(Y,$fot(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)))),bind(Z,$fot(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)))]]) ).

cnf(refute_0_10852,plain,
    ( product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a))) )],[refute_0_10850,refute_0_10851]) ).

cnf(refute_0_10853,plain,
    product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,bigC(a,b,product(a,b))),a),product(product(c,bigC(c,c,bigC(a,a,b))),a)),product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)) )],[refute_0_10672,refute_0_10852]) ).

cnf(refute_0_10854,plain,
    ( product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(c,a)
    | product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)
    | product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(c,a)) ),[0],$fot(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a))]]) ).

cnf(refute_0_10855,plain,
    ( product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))) != product(c,a)
    | product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a)) )],[refute_0_10853,refute_0_10854]) ).

cnf(refute_0_10856,plain,
    product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,a),product(c,a),bigC(a,a,product(b,c))),product(c,a)),product(product(c,a),product(product(c,a),product(product(bigC(a,a,b),c),a)))),product(c,a)) )],[refute_0_9495,refute_0_10855]) ).

cnf(refute_0_10857,plain,
    ( product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) != product(c,a)
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(B,D))
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(B,D))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_10858,plain,
    ( product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(B,D))
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(c,a)) )],[refute_0_10856,refute_0_10857]) ).

cnf(refute_0_10859,plain,
    product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(B,D))) )],[refute_0_9349,refute_0_10858]) ).

cnf(refute_0_10860,plain,
    quotient(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),a) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))))),bind(B,$fot(a))]]) ).

cnf(refute_0_10861,plain,
    ( product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a) != product(c,a)
    | quotient(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),a) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | quotient(product(c,a),a) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),a),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_10862,plain,
    ( quotient(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),a) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | quotient(product(c,a),a) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),product(c,a)) )],[refute_0_10856,refute_0_10861]) ).

cnf(refute_0_10863,plain,
    quotient(product(c,a),a) = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),a),a),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) )],[refute_0_10860,refute_0_10862]) ).

cnf(refute_0_10864,plain,
    quotient(product(c,a),a) = c,
    inference(subst,[],[refute_0_58:[bind(A,$fot(c)),bind(B,$fot(a))]]) ).

cnf(refute_0_10865,plain,
    ( quotient(product(c,a),a) != c
    | quotient(product(c,a),a) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | c = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),a),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) ),[0],$fot(c)]]) ).

cnf(refute_0_10866,plain,
    ( quotient(product(c,a),a) != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | c = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),a),c) )],[refute_0_10864,refute_0_10865]) ).

cnf(refute_0_10867,plain,
    c = product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),a),product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) )],[refute_0_10863,refute_0_10866]) ).

cnf(refute_0_10868,plain,
    ( c != product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))
    | product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))))]]) ).

cnf(refute_0_10869,plain,
    product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) = c,
    inference(resolve,[$cnf( $equal(c,product(c,bigC(bigC(a,a,b),c,bigC(b,a,b)))) )],[refute_0_10867,refute_0_10868]) ).

cnf(refute_0_10870,plain,
    product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) = product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B))]]) ).

cnf(refute_0_10871,plain,
    ( product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) != c
    | product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) != product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B)
    | product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) = product(c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_10872,plain,
    ( product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) != c
    | product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) = product(c,B) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B)) )],[refute_0_10870,refute_0_10871]) ).

cnf(refute_0_10873,plain,
    product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) = product(c,B),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),c) )],[refute_0_10869,refute_0_10872]) ).

cnf(refute_0_10874,plain,
    product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)))]]) ).

cnf(refute_0_10875,plain,
    ( product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) != product(c,B)
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D))
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,B),product(a,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D))) ),[1,0],$fot(product(c,B))]]) ).

cnf(refute_0_10876,plain,
    ( product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B) != product(c,B)
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,B),product(a,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D))) )],[refute_0_10874,refute_0_10875]) ).

cnf(refute_0_10877,plain,
    product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) = product(product(c,B),product(a,D)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(c,B)) )],[refute_0_10873,refute_0_10876]) ).

cnf(refute_0_10878,plain,
    ( product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(c,B),product(a,D))
    | product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(c,a),product(B,D))
    | product(product(c,B),product(a,D)) = product(product(c,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(c,a),product(B,D))) ),[0],$fot(product(product(c,B),product(a,D)))]]) ).

cnf(refute_0_10879,plain,
    ( product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)) != product(product(c,a),product(B,D))
    | product(product(c,B),product(a,D)) = product(product(c,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(c,B),product(a,D))) )],[refute_0_10877,refute_0_10878]) ).

cnf(refute_0_10880,plain,
    product(product(c,B),product(a,D)) = product(product(c,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(bigC(a,a,b),c,bigC(b,a,b))),B),product(a,D)),product(product(c,a),product(B,D))) )],[refute_0_10859,refute_0_10879]) ).

cnf(refute_0_10881,plain,
    product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(subst,[],[refute_0_10880:[bind(B,$fot(bigC(c,c,bigC(b,a,b)))),bind(D,$fot(bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_10882,plain,
    product(c,bigC(c,bigC(b,a,b),c)) = product(c,bigC(c,c,bigC(b,a,b))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(bigC(b,a,b))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_10883,plain,
    bigC(c,c,product(c,bigC(b,a,b))) = product(c,bigC(c,bigC(b,a,b),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(b,a,b))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_10884,plain,
    ( bigC(c,c,product(c,bigC(b,a,b))) != product(c,bigC(c,bigC(b,a,b),c))
    | product(c,bigC(c,bigC(b,a,b),c)) != product(c,bigC(c,c,bigC(b,a,b)))
    | bigC(c,c,product(c,bigC(b,a,b))) = product(c,bigC(c,c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,bigC(b,a,b))))),bind(Y,$fot(product(c,bigC(c,bigC(b,a,b),c)))),bind(Z,$fot(product(c,bigC(c,c,bigC(b,a,b)))))]]) ).

cnf(refute_0_10885,plain,
    ( product(c,bigC(c,bigC(b,a,b),c)) != product(c,bigC(c,c,bigC(b,a,b)))
    | bigC(c,c,product(c,bigC(b,a,b))) = product(c,bigC(c,c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(b,a,b))),product(c,bigC(c,bigC(b,a,b),c))) )],[refute_0_10883,refute_0_10884]) ).

cnf(refute_0_10886,plain,
    bigC(c,c,product(c,bigC(b,a,b))) = product(c,bigC(c,c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(b,a,b),c)),product(c,bigC(c,c,bigC(b,a,b)))) )],[refute_0_10882,refute_0_10885]) ).

cnf(refute_0_10887,plain,
    product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10888,plain,
    ( bigC(c,c,product(c,bigC(b,a,b))) != product(c,bigC(c,c,bigC(b,a,b)))
    | product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))) ),[1,0],$fot(product(c,bigC(c,c,bigC(b,a,b))))]]) ).

cnf(refute_0_10889,plain,
    ( bigC(c,c,product(c,bigC(b,a,b))) != product(c,bigC(c,c,bigC(b,a,b)))
    | product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10887,refute_0_10888]) ).

cnf(refute_0_10890,plain,
    product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(b,a,b))),product(c,bigC(c,c,bigC(b,a,b)))) )],[refute_0_10886,refute_0_10889]) ).

cnf(refute_0_10891,plain,
    ( product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))
    | product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Y,$fot(product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_10892,plain,
    ( product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10890,refute_0_10891]) ).

cnf(refute_0_10893,plain,
    product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10881,refute_0_10892]) ).

cnf(refute_0_10894,plain,
    product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) = product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,bigC(b,a,b)))),bind(X_26,$fot(bigC(b,a,product(a,product(b,c))))),bind(X_97,$fot(a))]]) ).

cnf(refute_0_10895,plain,
    ( product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) != product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Y,$fot(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_10896,plain,
    ( product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))),product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10894,refute_0_10895]) ).

cnf(refute_0_10897,plain,
    product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(b,a,b))),product(a,bigC(b,a,product(a,product(b,c))))),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10893,refute_0_10896]) ).

cnf(refute_0_10898,plain,
    product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(c,bigC(b,a,b)))),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(bigC(b,a,product(a,product(b,c)))))]]) ).

cnf(refute_0_10899,plain,
    ( product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c)))))
    | product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))))),bind(Y,$fot(product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_10900,plain,
    ( product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10898,refute_0_10899]) ).

cnf(refute_0_10901,plain,
    product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,bigC(b,a,b)),c),product(a,bigC(b,a,product(a,product(b,c))))),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10897,refute_0_10900]) ).

cnf(refute_0_10902,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_50:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_10903,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_10904,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_5415,refute_0_10903]) ).

cnf(refute_0_10905,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_10902,refute_0_10904]) ).

cnf(refute_0_10906,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)),
    inference(subst,[],[refute_0_9315:[bind(X_19,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_10907,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b))
    | bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)))),bind(Z,$fot(bigC(c,product(a,c),product(product(c,b),product(b,c)))))]]) ).

cnf(refute_0_10908,plain,
    ( bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b))) )],[refute_0_10906,refute_0_10907]) ).

cnf(refute_0_10909,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(c,product(a,c),product(product(c,b),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,product(c,a)),product(product(c,b),b)),bigC(c,product(a,c),product(product(c,b),product(b,c)))) )],[refute_0_9324,refute_0_10908]) ).

cnf(refute_0_10910,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != bigC(c,product(a,c),product(product(c,b),product(b,c)))
    | bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(b,a,product(c,product(c,b)))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)))),bind(Y,$fot(bigC(c,product(a,c),product(product(c,b),product(b,c))))),bind(Z,$fot(bigC(b,a,product(c,product(c,b)))))]]) ).

cnf(refute_0_10911,plain,
    ( bigC(c,product(a,c),product(product(c,b),product(b,c))) != bigC(b,a,product(c,product(c,b)))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(b,a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),bigC(c,product(a,c),product(product(c,b),product(b,c)))) )],[refute_0_10909,refute_0_10910]) ).

cnf(refute_0_10912,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(b,a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(product(c,b),product(b,c))),bigC(b,a,product(c,product(c,b)))) )],[refute_0_9114,refute_0_10911]) ).

cnf(refute_0_10913,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != bigC(b,a,product(c,product(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))
    | bigC(b,a,product(c,product(c,b))) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),[0],$fot(bigC(b,a,product(c,product(c,b))))]]) ).

cnf(refute_0_10914,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(b,a,product(c,product(c,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)),bigC(b,a,product(c,product(c,b)))) )],[refute_0_10912,refute_0_10913]) ).

cnf(refute_0_10915,plain,
    product(bigC(b,a,product(a,b)),c) = product(bigC(b,a,product(a,b)),c),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,product(a,b)),c))]]) ).

cnf(refute_0_10916,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),c) != product(bigC(b,a,product(a,b)),c)
    | product(bigC(b,a,product(a,b)),c) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,product(a,b)),c),product(bigC(b,a,product(a,b)),c)) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_10917,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),c) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),c),product(bigC(b,a,product(a,b)),c)) )],[refute_0_10915,refute_0_10916]) ).

cnf(refute_0_10918,plain,
    product(bigC(b,a,product(a,b)),c) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_10917]) ).

cnf(refute_0_10919,plain,
    ( product(bigC(b,a,product(a,b)),c) != product(bigC(a,b,product(a,b)),c)
    | product(c,product(c,bigC(b,a,b))) != product(bigC(b,a,product(a,b)),c)
    | product(c,product(c,bigC(b,a,b))) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,bigC(b,a,b))),product(bigC(b,a,product(a,b)),c)) ),[1],$fot(product(bigC(a,b,product(a,b)),c))]]) ).

cnf(refute_0_10920,plain,
    ( product(c,product(c,bigC(b,a,b))) != product(bigC(b,a,product(a,b)),c)
    | product(c,product(c,bigC(b,a,b))) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),c),product(bigC(a,b,product(a,b)),c)) )],[refute_0_10918,refute_0_10919]) ).

cnf(refute_0_10921,plain,
    product(c,product(c,bigC(b,a,b))) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,a,b))),product(bigC(b,a,product(a,b)),c)) )],[refute_0_3256,refute_0_10920]) ).

cnf(refute_0_10922,plain,
    ( product(c,product(c,bigC(b,a,b))) != product(bigC(a,b,product(a,b)),c)
    | product(bigC(a,b,product(a,b)),c) = product(c,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,bigC(b,a,b))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),c)))]]) ).

cnf(refute_0_10923,plain,
    product(bigC(a,b,product(a,b)),c) = product(c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(b,a,b))),product(bigC(a,b,product(a,b)),c)) )],[refute_0_10921,refute_0_10922]) ).

cnf(refute_0_10924,plain,
    product(product(bigC(a,a,c),product(b,c)),c) = product(product(bigC(a,a,c),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(b,c)),c))]]) ).

cnf(refute_0_10925,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),product(b,c)),c) != product(product(bigC(a,a,c),product(b,c)),c)
    | product(product(bigC(a,a,c),product(b,c)),c) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),c),product(product(bigC(a,a,c),product(b,c)),c)) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_10926,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),product(b,c)),c) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),c),product(product(bigC(a,a,c),product(b,c)),c)) )],[refute_0_10924,refute_0_10925]) ).

cnf(refute_0_10927,plain,
    product(product(bigC(a,a,c),product(b,c)),c) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),bigC(a,b,product(a,b))) )],[refute_0_6599,refute_0_10926]) ).

cnf(refute_0_10928,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(a,a,c),product(b,c)),c) != product(bigC(a,b,product(a,b)),c)
    | product(product(bigC(a,a,c),product(b,c)),c) = product(c,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),product(b,c)),c))),bind(Y,$fot(product(bigC(a,b,product(a,b)),c))),bind(Z,$fot(product(c,product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_10929,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(a,a,c),product(b,c)),c) = product(c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),c),product(bigC(a,b,product(a,b)),c)) )],[refute_0_10927,refute_0_10928]) ).

cnf(refute_0_10930,plain,
    product(product(bigC(a,a,c),product(b,c)),c) = product(c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10923,refute_0_10929]) ).

cnf(refute_0_10931,plain,
    ( product(product(X_96,product(b,c)),c) != product(product(X_96,b),bigC(a,a,b))
    | product(product(X_96,b),bigC(a,a,b)) = product(product(X_96,product(b,c)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,product(b,c)),c))),bind(Y,$fot(product(product(X_96,b),bigC(a,a,b))))]]) ).

cnf(refute_0_10932,plain,
    product(product(X_96,b),bigC(a,a,b)) = product(product(X_96,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(b,c)),c),product(product(X_96,b),bigC(a,a,b))) )],[refute_0_9134,refute_0_10931]) ).

cnf(refute_0_10933,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(product(bigC(a,a,c),product(b,c)),c),
    inference(subst,[],[refute_0_10932:[bind(X_96,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_10934,plain,
    ( product(product(bigC(a,a,c),b),bigC(a,a,b)) != product(product(bigC(a,a,c),product(b,c)),c)
    | product(product(bigC(a,a,c),product(b,c)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))),bind(Y,$fot(product(product(bigC(a,a,c),product(b,c)),c))),bind(Z,$fot(product(c,product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_10935,plain,
    ( product(product(bigC(a,a,c),product(b,c)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),product(product(bigC(a,a,c),product(b,c)),c)) )],[refute_0_10933,refute_0_10934]) ).

cnf(refute_0_10936,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10930,refute_0_10935]) ).

cnf(refute_0_10937,plain,
    ( bigC(b,a,product(c,product(c,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(b,a,b)))
    | bigC(b,a,product(c,product(c,b))) = product(c,product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,product(c,product(c,b))),product(c,product(c,bigC(b,a,b)))) ),[0],$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))]]) ).

cnf(refute_0_10938,plain,
    ( bigC(b,a,product(c,product(c,b))) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(b,a,product(c,product(c,b))) = product(c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10936,refute_0_10937]) ).

cnf(refute_0_10939,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(b,a,product(c,product(c,b))) = product(c,product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,product(c,b))),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_10914,refute_0_10938]) ).

cnf(refute_0_10940,plain,
    bigC(b,a,product(c,product(c,b))) = product(c,product(c,bigC(b,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,c),b),bigC(a,a,b))) )],[refute_0_10905,refute_0_10939]) ).

cnf(refute_0_10941,plain,
    product(bigC(b,a,product(c,product(c,b))),a) = product(bigC(b,a,product(c,product(c,b))),a),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,product(c,product(c,b))),a))]]) ).

cnf(refute_0_10942,plain,
    ( bigC(b,a,product(c,product(c,b))) != product(c,product(c,bigC(b,a,b)))
    | product(bigC(b,a,product(c,product(c,b))),a) != product(bigC(b,a,product(c,product(c,b))),a)
    | product(bigC(b,a,product(c,product(c,b))),a) = product(product(c,product(c,bigC(b,a,b))),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,product(c,product(c,b))),a),product(bigC(b,a,product(c,product(c,b))),a)) ),[1,0],$fot(product(c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_10943,plain,
    ( bigC(b,a,product(c,product(c,b))) != product(c,product(c,bigC(b,a,b)))
    | product(bigC(b,a,product(c,product(c,b))),a) = product(product(c,product(c,bigC(b,a,b))),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(c,product(c,b))),a),product(bigC(b,a,product(c,product(c,b))),a)) )],[refute_0_10941,refute_0_10942]) ).

cnf(refute_0_10944,plain,
    product(bigC(b,a,product(c,product(c,b))),a) = product(product(c,product(c,bigC(b,a,b))),a),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,product(c,b))),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10940,refute_0_10943]) ).

cnf(refute_0_10945,plain,
    product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10946,plain,
    ( product(bigC(b,a,product(c,product(c,b))),a) != product(product(c,product(c,bigC(b,a,b))),a)
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) ),[1,0],$fot(product(product(c,product(c,bigC(b,a,b))),a))]]) ).

cnf(refute_0_10947,plain,
    ( product(bigC(b,a,product(c,product(c,b))),a) != product(product(c,product(c,bigC(b,a,b))),a)
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10945,refute_0_10946]) ).

cnf(refute_0_10948,plain,
    product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(c,product(c,b))),a),product(product(c,product(c,bigC(b,a,b))),a)) )],[refute_0_10944,refute_0_10947]) ).

cnf(refute_0_10949,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))
    | product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))))),bind(Y,$fot(product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_10950,plain,
    ( product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10948,refute_0_10949]) ).

cnf(refute_0_10951,plain,
    product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) = product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(b,a,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10901,refute_0_10950]) ).

cnf(refute_0_10952,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != bigC(a,a,b)
    | product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),bigC(a,a,b)) ),[0],$fot(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10953,plain,
    ( product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))) != bigC(a,a,b)
    | product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10951,refute_0_10952]) ).

cnf(refute_0_10954,plain,
    product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,product(c,product(c,b))),a),product(c,bigC(b,a,product(a,product(b,c))))),bigC(a,a,b)) )],[refute_0_9348,refute_0_10953]) ).

cnf(refute_0_10955,plain,
    ( product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,a,b)
    | product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | bigC(a,a,b) = product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10956,plain,
    ( product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | bigC(a,a,b) = product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,a,b)) )],[refute_0_10954,refute_0_10955]) ).

cnf(refute_0_10957,plain,
    bigC(a,a,b) = product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) )],[refute_0_4050,refute_0_10956]) ).

cnf(refute_0_10958,plain,
    difference(product(c,a),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,a))),bind(B,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10959,plain,
    ( difference(product(c,a),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))
    | product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,a,b)
    | difference(product(c,a),bigC(a,a,b)) = product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10960,plain,
    ( difference(product(c,a),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))
    | difference(product(c,a),bigC(a,a,b)) = product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,a,b)) )],[refute_0_10954,refute_0_10959]) ).

cnf(refute_0_10961,plain,
    difference(product(c,a),bigC(a,a,b)) = product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) )],[refute_0_10958,refute_0_10960]) ).

cnf(refute_0_10962,plain,
    ( difference(product(c,a),bigC(a,a,b)) != product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))
    | product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) = difference(product(c,a),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(c,a),bigC(a,a,b)))),bind(Y,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10963,plain,
    product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) = difference(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) )],[refute_0_10961,refute_0_10962]) ).

cnf(refute_0_10964,plain,
    bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10965,plain,
    ( bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) != difference(product(c,a),bigC(a,a,b))
    | bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) ),[1,2],$fot(difference(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_10966,plain,
    ( product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))) != difference(product(c,a),bigC(a,a,b))
    | bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10964,refute_0_10965]) ).

cnf(refute_0_10967,plain,
    bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),difference(product(c,a),bigC(a,a,b))) )],[refute_0_10963,refute_0_10966]) ).

cnf(refute_0_10968,plain,
    bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10969,plain,
    product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(product(product(c,a),X_25),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(c,a))),bind(X_26,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_10970,plain,
    ( product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(product(product(c,a),X_25),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,a,b)
    | product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(product(product(c,a),X_25),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(product(product(c,a),X_25),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10971,plain,
    ( product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(product(product(c,a),X_25),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(product(product(c,a),X_25),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,a,b)) )],[refute_0_10954,refute_0_10970]) ).

cnf(refute_0_10972,plain,
    product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(product(product(c,a),X_25),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(product(product(c,a),X_25),product(product(c,a),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) )],[refute_0_10969,refute_0_10971]) ).

cnf(refute_0_10973,plain,
    bigC(product(c,a),X_18,quotient(bigC(a,a,b),product(c,a))) = product(product(product(c,a),X_18),bigC(a,a,b)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(bigC(a,a,b))),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_10974,plain,
    ( bigC(product(c,a),X_18,quotient(bigC(a,a,b),product(c,a))) != product(product(product(c,a),X_18),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(c,a)) != product(a,c)
    | bigC(product(c,a),X_18,product(a,c)) = product(product(product(c,a),X_18),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),X_18,quotient(bigC(a,a,b),product(c,a))),product(product(product(c,a),X_18),bigC(a,a,b))) ),[0,2],$fot(product(a,c))]]) ).

cnf(refute_0_10975,plain,
    ( bigC(product(c,a),X_18,quotient(bigC(a,a,b),product(c,a))) != product(product(product(c,a),X_18),bigC(a,a,b))
    | bigC(product(c,a),X_18,product(a,c)) = product(product(product(c,a),X_18),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(c,a)),product(a,c)) )],[refute_0_2266,refute_0_10974]) ).

cnf(refute_0_10976,plain,
    bigC(product(c,a),X_18,product(a,c)) = product(product(product(c,a),X_18),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,quotient(bigC(a,a,b),product(c,a))),product(product(product(c,a),X_18),bigC(a,a,b))) )],[refute_0_10973,refute_0_10975]) ).

cnf(refute_0_10977,plain,
    bigC(difference(product(a,c),bigC(a,a,b)),X_18,product(a,c)) = product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(bigC(a,a,b))),bind(X_19,$fot(product(a,c)))]]) ).

cnf(refute_0_10978,plain,
    difference(quotient(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = product(c,a),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(c,a))),bind(X_11,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_10979,plain,
    ( difference(quotient(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(a,a,b),product(c,a)) != product(a,c)
    | difference(product(a,c),bigC(a,a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(a,a,b),product(c,a)),bigC(a,a,b)),product(c,a)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_10980,plain,
    ( difference(quotient(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != product(c,a)
    | difference(product(a,c),bigC(a,a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(c,a)),product(a,c)) )],[refute_0_2266,refute_0_10979]) ).

cnf(refute_0_10981,plain,
    difference(product(a,c),bigC(a,a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,b),product(c,a)),bigC(a,a,b)),product(c,a)) )],[refute_0_10978,refute_0_10980]) ).

cnf(refute_0_10982,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),X_18,product(a,c)) != product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))
    | difference(product(a,c),bigC(a,a,b)) != product(c,a)
    | bigC(product(c,a),X_18,product(a,c)) = product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),X_18,product(a,c)),product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_10983,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),X_18,product(a,c)) != product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))
    | bigC(product(c,a),X_18,product(a,c)) = product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(c,a)) )],[refute_0_10981,refute_0_10982]) ).

cnf(refute_0_10984,plain,
    bigC(product(c,a),X_18,product(a,c)) = product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),X_18,product(a,c)),product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))) )],[refute_0_10977,refute_0_10983]) ).

cnf(refute_0_10985,plain,
    bigC(product(c,a),difference(product(c,a),bigC(a,a,c)),X_19) = product(bigC(a,a,c),product(X_19,product(c,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(a,a,c))),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_10986,plain,
    difference(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(bigC(b,a,b))),bind(X_16,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_10987,plain,
    ( difference(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) ),[0,0,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_10988,plain,
    ( difference(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_10987]) ).

cnf(refute_0_10989,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) )],[refute_0_10986,refute_0_10988]) ).

cnf(refute_0_10990,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_10991,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) != difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c))
    | product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(c,a),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_10992,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(c,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_10990,refute_0_10991]) ).

cnf(refute_0_10993,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(c,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,c)),product(c,a)) )],[refute_0_2214,refute_0_10992]) ).

cnf(refute_0_10994,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) != difference(product(c,a),bigC(a,a,c))
    | difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | difference(product(c,a),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) ),[0],$fot(difference(product(c,a),bigC(a,a,c)))]]) ).

cnf(refute_0_10995,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | difference(product(c,a),bigC(a,a,c)) = product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),difference(product(c,a),bigC(a,a,c))) )],[refute_0_10993,refute_0_10994]) ).

cnf(refute_0_10996,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != 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(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))))]]) ).

cnf(refute_0_10997,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | difference(product(c,a),bigC(a,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),product(a,c)) )],[refute_0_2194,refute_0_10996]) ).

cnf(refute_0_10998,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))
    | difference(product(c,a),bigC(a,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) )],[refute_0_10995,refute_0_10997]) ).

cnf(refute_0_10999,plain,
    difference(product(c,a),bigC(a,a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) )],[refute_0_10989,refute_0_10998]) ).

cnf(refute_0_11000,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,c)),X_19) != product(bigC(a,a,c),product(X_19,product(c,a)))
    | difference(product(c,a),bigC(a,a,c)) != product(a,c)
    | bigC(product(c,a),product(a,c),X_19) = product(bigC(a,a,c),product(X_19,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,c)),X_19),product(bigC(a,a,c),product(X_19,product(c,a)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_11001,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,c)),X_19) != product(bigC(a,a,c),product(X_19,product(c,a)))
    | bigC(product(c,a),product(a,c),X_19) = product(bigC(a,a,c),product(X_19,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(a,c)) )],[refute_0_10999,refute_0_11000]) ).

cnf(refute_0_11002,plain,
    bigC(product(c,a),product(a,c),X_19) = product(bigC(a,a,c),product(X_19,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,c)),X_19),product(bigC(a,a,c),product(X_19,product(c,a)))) )],[refute_0_10985,refute_0_11001]) ).

cnf(refute_0_11003,plain,
    bigC(a,X_19,product(c,c)) = bigC(a,X_19,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(a,X_19,product(c,c)))]]) ).

cnf(refute_0_11004,plain,
    ( bigC(a,X_19,product(c,c)) != bigC(a,X_19,product(c,c))
    | product(c,c) != c
    | bigC(a,X_19,product(c,c)) = bigC(a,X_19,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_19,product(c,c)),bigC(a,X_19,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_11005,plain,
    ( product(c,c) != c
    | bigC(a,X_19,product(c,c)) = bigC(a,X_19,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(c,c)),bigC(a,X_19,product(c,c))) )],[refute_0_11003,refute_0_11004]) ).

cnf(refute_0_11006,plain,
    bigC(a,X_19,product(c,c)) = bigC(a,X_19,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_11005]) ).

cnf(refute_0_11007,plain,
    bigC(product(a,a),X_19,product(c,c)) = bigC(product(a,a),X_19,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_19,product(c,c)))]]) ).

cnf(refute_0_11008,plain,
    ( bigC(product(a,a),X_19,product(c,c)) != bigC(product(a,a),X_19,product(c,c))
    | product(a,a) != a
    | bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_19,product(c,c)),bigC(product(a,a),X_19,product(c,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_11009,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,product(c,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(c,c)),bigC(product(a,a),X_19,product(c,c))) )],[refute_0_11007,refute_0_11008]) ).

cnf(refute_0_11010,plain,
    bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,product(c,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_11009]) ).

cnf(refute_0_11011,plain,
    ( bigC(a,X_19,product(c,c)) != bigC(a,X_19,c)
    | bigC(product(a,a),X_19,product(c,c)) != bigC(a,X_19,product(c,c))
    | bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,a),X_19,product(c,c)))),bind(Y,$fot(bigC(a,X_19,product(c,c)))),bind(Z,$fot(bigC(a,X_19,c)))]]) ).

cnf(refute_0_11012,plain,
    ( bigC(a,X_19,product(c,c)) != bigC(a,X_19,c)
    | bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(c,c)),bigC(a,X_19,product(c,c))) )],[refute_0_11010,refute_0_11011]) ).

cnf(refute_0_11013,plain,
    bigC(product(a,a),X_19,product(c,c)) = bigC(a,X_19,c),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(c,c)),bigC(a,X_19,c)) )],[refute_0_11006,refute_0_11012]) ).

cnf(refute_0_11014,plain,
    product(bigC(a,a,c),product(X_19,product(c,a))) = bigC(product(a,a),X_19,product(c,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_19)),bind(X_23,$fot(c)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_11015,plain,
    ( bigC(product(a,a),X_19,product(c,c)) != bigC(a,X_19,c)
    | product(bigC(a,a,c),product(X_19,product(c,a))) != bigC(product(a,a),X_19,product(c,c))
    | product(bigC(a,a,c),product(X_19,product(c,a))) = bigC(a,X_19,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(X_19,product(c,a))))),bind(Y,$fot(bigC(product(a,a),X_19,product(c,c)))),bind(Z,$fot(bigC(a,X_19,c)))]]) ).

cnf(refute_0_11016,plain,
    ( bigC(product(a,a),X_19,product(c,c)) != bigC(a,X_19,c)
    | product(bigC(a,a,c),product(X_19,product(c,a))) = bigC(a,X_19,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(X_19,product(c,a))),bigC(product(a,a),X_19,product(c,c))) )],[refute_0_11014,refute_0_11015]) ).

cnf(refute_0_11017,plain,
    product(bigC(a,a,c),product(X_19,product(c,a))) = bigC(a,X_19,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(c,c)),bigC(a,X_19,c)) )],[refute_0_11013,refute_0_11016]) ).

cnf(refute_0_11018,plain,
    ( bigC(product(c,a),product(a,c),X_19) != product(bigC(a,a,c),product(X_19,product(c,a)))
    | product(bigC(a,a,c),product(X_19,product(c,a))) != bigC(a,X_19,c)
    | bigC(product(c,a),product(a,c),X_19) = bigC(a,X_19,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),product(a,c),X_19),bigC(a,X_19,c)) ),[0],$fot(product(bigC(a,a,c),product(X_19,product(c,a))))]]) ).

cnf(refute_0_11019,plain,
    ( bigC(product(c,a),product(a,c),X_19) != product(bigC(a,a,c),product(X_19,product(c,a)))
    | bigC(product(c,a),product(a,c),X_19) = bigC(a,X_19,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(X_19,product(c,a))),bigC(a,X_19,c)) )],[refute_0_11017,refute_0_11018]) ).

cnf(refute_0_11020,plain,
    bigC(product(c,a),product(a,c),X_19) = bigC(a,X_19,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),X_19),product(bigC(a,a,c),product(X_19,product(c,a)))) )],[refute_0_11002,refute_0_11019]) ).

cnf(refute_0_11021,plain,
    bigC(product(c,a),product(a,c),X_18) = bigC(a,X_18,c),
    inference(subst,[],[refute_0_11020:[bind(X_19,$fot(X_18))]]) ).

cnf(refute_0_11022,plain,
    bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18))]]) ).

cnf(refute_0_11023,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) != bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18)
    | difference(product(a,c),bigC(a,a,b)) != product(c,a)
    | bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(product(c,a),product(a,c),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_11024,plain,
    ( difference(product(a,c),bigC(a,a,b)) != product(c,a)
    | bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(product(c,a),product(a,c),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18)) )],[refute_0_11022,refute_0_11023]) ).

cnf(refute_0_11025,plain,
    bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(product(c,a),product(a,c),X_18),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(c,a)) )],[refute_0_10981,refute_0_11024]) ).

cnf(refute_0_11026,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) != bigC(product(c,a),product(a,c),X_18)
    | bigC(product(c,a),product(a,c),X_18) != bigC(a,X_18,c)
    | bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(a,X_18,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18))),bind(Y,$fot(bigC(product(c,a),product(a,c),X_18))),bind(Z,$fot(bigC(a,X_18,c)))]]) ).

cnf(refute_0_11027,plain,
    ( bigC(product(c,a),product(a,c),X_18) != bigC(a,X_18,c)
    | bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(a,X_18,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),bigC(product(c,a),product(a,c),X_18)) )],[refute_0_11025,refute_0_11026]) ).

cnf(refute_0_11028,plain,
    bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) = bigC(a,X_18,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),X_18),bigC(a,X_18,c)) )],[refute_0_11021,refute_0_11027]) ).

cnf(refute_0_11029,plain,
    product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) = bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(product(a,c))),bind(C,$fot(X_18)),bind(X_70,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_11030,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) != bigC(a,X_18,c)
    | product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) != bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18)
    | product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) = bigC(a,X_18,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)))),bind(Y,$fot(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18))),bind(Z,$fot(bigC(a,X_18,c)))]]) ).

cnf(refute_0_11031,plain,
    ( bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18) != bigC(a,X_18,c)
    | product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) = bigC(a,X_18,c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)),bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18)) )],[refute_0_11029,refute_0_11030]) ).

cnf(refute_0_11032,plain,
    product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) = bigC(a,X_18,c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),bigC(a,a,b)),product(a,c),X_18),bigC(a,X_18,c)) )],[refute_0_11028,refute_0_11031]) ).

cnf(refute_0_11033,plain,
    ( bigC(product(c,a),X_18,product(a,c)) != product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))
    | product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)) != bigC(a,X_18,c)
    | bigC(product(c,a),X_18,product(a,c)) = bigC(a,X_18,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),X_18,product(a,c)),bigC(a,X_18,c)) ),[0],$fot(product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)))]]) ).

cnf(refute_0_11034,plain,
    ( bigC(product(c,a),X_18,product(a,c)) != product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))
    | bigC(product(c,a),X_18,product(a,c)) = bigC(a,X_18,c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b)),bigC(a,X_18,c)) )],[refute_0_11032,refute_0_11033]) ).

cnf(refute_0_11035,plain,
    bigC(product(c,a),X_18,product(a,c)) = bigC(a,X_18,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,product(a,c)),product(product(difference(product(a,c),bigC(a,a,b)),X_18),bigC(a,a,b))) )],[refute_0_10984,refute_0_11034]) ).

cnf(refute_0_11036,plain,
    ( bigC(product(c,a),X_18,product(a,c)) != bigC(a,X_18,c)
    | bigC(product(c,a),X_18,product(a,c)) != product(product(product(c,a),X_18),bigC(a,a,b))
    | bigC(a,X_18,c) = product(product(product(c,a),X_18),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),X_18,product(a,c)),product(product(product(c,a),X_18),bigC(a,a,b))) ),[0],$fot(bigC(a,X_18,c))]]) ).

cnf(refute_0_11037,plain,
    ( bigC(product(c,a),X_18,product(a,c)) != product(product(product(c,a),X_18),bigC(a,a,b))
    | bigC(a,X_18,c) = product(product(product(c,a),X_18),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,product(a,c)),bigC(a,X_18,c)) )],[refute_0_11035,refute_0_11036]) ).

cnf(refute_0_11038,plain,
    bigC(a,X_18,c) = product(product(product(c,a),X_18),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_18,product(a,c)),product(product(product(c,a),X_18),bigC(a,a,b))) )],[refute_0_10976,refute_0_11037]) ).

cnf(refute_0_11039,plain,
    ( bigC(a,X_18,c) != product(product(product(c,a),X_18),bigC(a,a,b))
    | product(product(product(c,a),X_18),bigC(a,a,b)) = bigC(a,X_18,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,X_18,c))),bind(Y,$fot(product(product(product(c,a),X_18),bigC(a,a,b))))]]) ).

cnf(refute_0_11040,plain,
    product(product(product(c,a),X_18),bigC(a,a,b)) = bigC(a,X_18,c),
    inference(resolve,[$cnf( $equal(bigC(a,X_18,c),product(product(product(c,a),X_18),bigC(a,a,b))) )],[refute_0_11038,refute_0_11039]) ).

cnf(refute_0_11041,plain,
    product(product(product(c,a),X_25),bigC(a,a,b)) = bigC(a,X_25,c),
    inference(subst,[],[refute_0_11040:[bind(X_18,$fot(X_25))]]) ).

cnf(refute_0_11042,plain,
    ( product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(product(product(c,a),X_25),bigC(a,a,b))
    | product(product(product(c,a),X_25),bigC(a,a,b)) != bigC(a,X_25,c)
    | product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,X_25,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bigC(a,X_25,c)) ),[0],$fot(product(product(product(c,a),X_25),bigC(a,a,b)))]]) ).

cnf(refute_0_11043,plain,
    ( product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(product(product(c,a),X_25),bigC(a,a,b))
    | product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_25),bigC(a,a,b)),bigC(a,X_25,c)) )],[refute_0_11041,refute_0_11042]) ).

cnf(refute_0_11044,plain,
    product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,X_25,c),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_25,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(product(product(c,a),X_25),bigC(a,a,b))) )],[refute_0_10972,refute_0_11043]) ).

cnf(refute_0_11045,plain,
    product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c),
    inference(subst,[],[refute_0_11044:[bind(X_25,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_11046,plain,
    ( bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c)
    | product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))),bind(Y,$fot(bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c))),bind(Z,$fot(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_11047,plain,
    ( bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c)) )],[refute_0_11045,refute_0_11046]) ).

cnf(refute_0_11048,plain,
    product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(bigC(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),c),bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_10968,refute_0_11047]) ).

cnf(refute_0_11049,plain,
    product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),
    inference(subst,[],[refute_0_10880:[bind(B,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bind(D,$fot(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))]]) ).

cnf(refute_0_11050,plain,
    ( product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))),bind(Y,$fot(product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))),bind(Z,$fot(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_11051,plain,
    ( product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) )],[refute_0_11049,refute_0_11050]) ).

cnf(refute_0_11052,plain,
    product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))),product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_11048,refute_0_11051]) ).

cnf(refute_0_11053,plain,
    ( bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,c,difference(product(c,a),bigC(a,a,b)))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))),bind(Y,$fot(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))),bind(Z,$fot(bigC(a,c,difference(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_11054,plain,
    ( bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))) != bigC(a,c,difference(product(c,a),bigC(a,a,b)))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) )],[refute_0_11052,refute_0_11053]) ).

cnf(refute_0_11055,plain,
    product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) = bigC(a,c,difference(product(c,a),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) )],[refute_0_10967,refute_0_11054]) ).

cnf(refute_0_11056,plain,
    ( bigC(a,a,b) != product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))) != bigC(a,c,difference(product(c,a),bigC(a,a,b)))
    | bigC(a,a,b) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,b),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) ),[0],$fot(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))))]]) ).

cnf(refute_0_11057,plain,
    ( bigC(a,a,b) != product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))
    | bigC(a,a,b) = bigC(a,c,difference(product(c,a),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c)))))),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) )],[refute_0_11055,refute_0_11056]) ).

cnf(refute_0_11058,plain,
    bigC(a,a,b) = bigC(a,c,difference(product(c,a),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),product(product(c,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))),product(a,product(bigC(c,c,bigC(b,a,b)),bigC(b,a,product(a,product(b,c))))))) )],[refute_0_10957,refute_0_11057]) ).

cnf(refute_0_11059,plain,
    ( bigC(a,a,b) != bigC(a,c,difference(product(c,a),bigC(a,a,b)))
    | bigC(a,c,difference(product(c,a),bigC(a,a,b))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(bigC(a,c,difference(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_11060,plain,
    bigC(a,c,difference(product(c,a),bigC(a,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) )],[refute_0_11058,refute_0_11059]) ).

cnf(refute_0_11061,plain,
    ( bigC(a,c,difference(product(c,a),bigC(a,a,b))) != bigC(a,a,b)
    | difference(product(a,c),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) != product(difference(product(c,a),bigC(a,a,b)),a)
    | difference(product(a,c),bigC(a,a,b)) = product(difference(product(c,a),bigC(a,a,b)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(a,c,difference(product(c,a),bigC(a,a,b)))),product(difference(product(c,a),bigC(a,a,b)),a)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11062,plain,
    ( difference(product(a,c),bigC(a,c,difference(product(c,a),bigC(a,a,b)))) != product(difference(product(c,a),bigC(a,a,b)),a)
    | difference(product(a,c),bigC(a,a,b)) = product(difference(product(c,a),bigC(a,a,b)),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,difference(product(c,a),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_11060,refute_0_11061]) ).

cnf(refute_0_11063,plain,
    difference(product(a,c),bigC(a,a,b)) = product(difference(product(c,a),bigC(a,a,b)),a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,c,difference(product(c,a),bigC(a,a,b)))),product(difference(product(c,a),bigC(a,a,b)),a)) )],[refute_0_4049,refute_0_11062]) ).

cnf(refute_0_11064,plain,
    ( difference(product(a,c),bigC(a,a,b)) != product(c,a)
    | difference(product(a,c),bigC(a,a,b)) != product(difference(product(c,a),bigC(a,a,b)),a)
    | product(c,a) = product(difference(product(c,a),bigC(a,a,b)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(difference(product(c,a),bigC(a,a,b)),a)) ),[0],$fot(product(c,a))]]) ).

cnf(refute_0_11065,plain,
    ( difference(product(a,c),bigC(a,a,b)) != product(difference(product(c,a),bigC(a,a,b)),a)
    | product(c,a) = product(difference(product(c,a),bigC(a,a,b)),a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(c,a)) )],[refute_0_10981,refute_0_11064]) ).

cnf(refute_0_11066,plain,
    product(c,a) = product(difference(product(c,a),bigC(a,a,b)),a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(difference(product(c,a),bigC(a,a,b)),a)) )],[refute_0_11063,refute_0_11065]) ).

cnf(refute_0_11067,plain,
    ( product(c,a) != product(difference(product(c,a),bigC(a,a,b)),a)
    | product(difference(product(c,a),bigC(a,a,b)),a) = product(c,a) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,a))),bind(Y,$fot(product(difference(product(c,a),bigC(a,a,b)),a)))]]) ).

cnf(refute_0_11068,plain,
    product(difference(product(c,a),bigC(a,a,b)),a) = product(c,a),
    inference(resolve,[$cnf( $equal(product(c,a),product(difference(product(c,a),bigC(a,a,b)),a)) )],[refute_0_11066,refute_0_11067]) ).

cnf(refute_0_11069,plain,
    ( product(difference(product(c,a),bigC(a,a,b)),a) != product(c,a)
    | quotient(product(difference(product(c,a),bigC(a,a,b)),a),a) != difference(product(c,a),bigC(a,a,b))
    | quotient(product(c,a),a) = difference(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(c,a),bigC(a,a,b)),a),a),difference(product(c,a),bigC(a,a,b))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_11070,plain,
    ( quotient(product(difference(product(c,a),bigC(a,a,b)),a),a) != difference(product(c,a),bigC(a,a,b))
    | quotient(product(c,a),a) = difference(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),a),product(c,a)) )],[refute_0_11068,refute_0_11069]) ).

cnf(refute_0_11071,plain,
    quotient(product(c,a),a) = difference(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(c,a),bigC(a,a,b)),a),a),difference(product(c,a),bigC(a,a,b))) )],[refute_0_4048,refute_0_11070]) ).

cnf(refute_0_11072,plain,
    ( quotient(product(c,a),a) != c
    | quotient(product(c,a),a) != difference(product(c,a),bigC(a,a,b))
    | c = difference(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),a),difference(product(c,a),bigC(a,a,b))) ),[0],$fot(c)]]) ).

cnf(refute_0_11073,plain,
    ( quotient(product(c,a),a) != difference(product(c,a),bigC(a,a,b))
    | c = difference(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),a),c) )],[refute_0_10864,refute_0_11072]) ).

cnf(refute_0_11074,plain,
    c = difference(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),a),difference(product(c,a),bigC(a,a,b))) )],[refute_0_11071,refute_0_11073]) ).

cnf(refute_0_11075,plain,
    ( c != difference(product(c,a),bigC(a,a,b))
    | difference(product(c,a),bigC(a,a,b)) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(difference(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_11076,plain,
    difference(product(c,a),bigC(a,a,b)) = c,
    inference(resolve,[$cnf( $equal(c,difference(product(c,a),bigC(a,a,b))) )],[refute_0_11074,refute_0_11075]) ).

cnf(refute_0_11077,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | quotient(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) != product(c,a)
    | quotient(bigC(a,a,b),c) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),product(c,a)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_11078,plain,
    ( quotient(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) != product(c,a)
    | quotient(bigC(a,a,b),c) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_11076,refute_0_11077]) ).

cnf(refute_0_11079,plain,
    quotient(bigC(a,a,b),c) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),product(c,a)) )],[refute_0_4047,refute_0_11078]) ).

cnf(refute_0_11080,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(product(c,a),c,X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_11081,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | bigC(product(c,a),c,X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_11079,refute_0_11080]) ).

cnf(refute_0_11082,plain,
    bigC(product(c,a),c,X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))) )],[refute_0_4046,refute_0_11081]) ).

cnf(refute_0_11083,plain,
    bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_19) = product(bigC(a,a,b),product(X_19,product(c,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(a,a,b))),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_11084,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_19) != product(bigC(a,a,b),product(X_19,product(c,a)))
    | difference(product(c,a),bigC(a,a,b)) != c
    | bigC(product(c,a),c,X_19) = product(bigC(a,a,b),product(X_19,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_19),product(bigC(a,a,b),product(X_19,product(c,a)))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_11085,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_19) != product(bigC(a,a,b),product(X_19,product(c,a)))
    | bigC(product(c,a),c,X_19) = product(bigC(a,a,b),product(X_19,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_11076,refute_0_11084]) ).

cnf(refute_0_11086,plain,
    bigC(product(c,a),c,X_19) = product(bigC(a,a,b),product(X_19,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_19),product(bigC(a,a,b),product(X_19,product(c,a)))) )],[refute_0_11083,refute_0_11085]) ).

cnf(refute_0_11087,plain,
    bigC(product(a,a),X_19,product(b,c)) = bigC(product(a,a),X_19,product(b,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_19,product(b,c)))]]) ).

cnf(refute_0_11088,plain,
    ( bigC(product(a,a),X_19,product(b,c)) != bigC(product(a,a),X_19,product(b,c))
    | product(a,a) != a
    | bigC(product(a,a),X_19,product(b,c)) = bigC(a,X_19,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_19,product(b,c)),bigC(product(a,a),X_19,product(b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_11089,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_19,product(b,c)) = bigC(a,X_19,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(b,c)),bigC(product(a,a),X_19,product(b,c))) )],[refute_0_11087,refute_0_11088]) ).

cnf(refute_0_11090,plain,
    bigC(product(a,a),X_19,product(b,c)) = bigC(a,X_19,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_11089]) ).

cnf(refute_0_11091,plain,
    product(bigC(a,a,b),product(X_19,product(c,a))) = bigC(product(a,a),X_19,product(b,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_19)),bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_11092,plain,
    ( bigC(product(a,a),X_19,product(b,c)) != bigC(a,X_19,product(b,c))
    | product(bigC(a,a,b),product(X_19,product(c,a))) != bigC(product(a,a),X_19,product(b,c))
    | product(bigC(a,a,b),product(X_19,product(c,a))) = bigC(a,X_19,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(X_19,product(c,a))))),bind(Y,$fot(bigC(product(a,a),X_19,product(b,c)))),bind(Z,$fot(bigC(a,X_19,product(b,c))))]]) ).

cnf(refute_0_11093,plain,
    ( bigC(product(a,a),X_19,product(b,c)) != bigC(a,X_19,product(b,c))
    | product(bigC(a,a,b),product(X_19,product(c,a))) = bigC(a,X_19,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_19,product(c,a))),bigC(product(a,a),X_19,product(b,c))) )],[refute_0_11091,refute_0_11092]) ).

cnf(refute_0_11094,plain,
    product(bigC(a,a,b),product(X_19,product(c,a))) = bigC(a,X_19,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(b,c)),bigC(a,X_19,product(b,c))) )],[refute_0_11090,refute_0_11093]) ).

cnf(refute_0_11095,plain,
    ( bigC(product(c,a),c,X_19) != product(bigC(a,a,b),product(X_19,product(c,a)))
    | product(bigC(a,a,b),product(X_19,product(c,a))) != bigC(a,X_19,product(b,c))
    | bigC(product(c,a),c,X_19) = bigC(a,X_19,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),c,X_19),bigC(a,X_19,product(b,c))) ),[0],$fot(product(bigC(a,a,b),product(X_19,product(c,a))))]]) ).

cnf(refute_0_11096,plain,
    ( bigC(product(c,a),c,X_19) != product(bigC(a,a,b),product(X_19,product(c,a)))
    | bigC(product(c,a),c,X_19) = bigC(a,X_19,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_19,product(c,a))),bigC(a,X_19,product(b,c))) )],[refute_0_11094,refute_0_11095]) ).

cnf(refute_0_11097,plain,
    bigC(product(c,a),c,X_19) = bigC(a,X_19,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_19),product(bigC(a,a,b),product(X_19,product(c,a)))) )],[refute_0_11086,refute_0_11096]) ).

cnf(refute_0_11098,plain,
    bigC(product(c,a),c,X_118) = bigC(a,X_118,product(b,c)),
    inference(subst,[],[refute_0_11097:[bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_11099,plain,
    ( bigC(product(c,a),c,X_118) != bigC(a,X_118,product(b,c))
    | bigC(product(c,a),c,X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | bigC(a,X_118,product(b,c)) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),c,X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))) ),[0],$fot(bigC(a,X_118,product(b,c)))]]) ).

cnf(refute_0_11100,plain,
    ( bigC(product(c,a),c,X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | bigC(a,X_118,product(b,c)) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_118),bigC(a,X_118,product(b,c))) )],[refute_0_11098,refute_0_11099]) ).

cnf(refute_0_11101,plain,
    bigC(quotient(bigC(a,a,b),c),X_118,c) = bigC(quotient(bigC(a,a,b),c),X_118,c),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,a,b),c),X_118,c))]]) ).

cnf(refute_0_11102,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_118,c) != bigC(quotient(bigC(a,a,b),c),X_118,c)
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(quotient(bigC(a,a,b),c),X_118,c) = bigC(product(c,a),X_118,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_118,c),bigC(quotient(bigC(a,a,b),c),X_118,c)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_11103,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(quotient(bigC(a,a,b),c),X_118,c) = bigC(product(c,a),X_118,c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_118,c),bigC(quotient(bigC(a,a,b),c),X_118,c)) )],[refute_0_11101,refute_0_11102]) ).

cnf(refute_0_11104,plain,
    bigC(quotient(bigC(a,a,b),c),X_118,c) = bigC(product(c,a),X_118,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_11079,refute_0_11103]) ).

cnf(refute_0_11105,plain,
    bigC(quotient(X_116,C),B,C) = bigC(quotient(X_116,C),C,B),
    inference(subst,[],[refute_0_121:[bind(A,$fot(quotient(X_116,C)))]]) ).

cnf(refute_0_11106,plain,
    bigC(quotient(X_116,C),C,B) = product(X_116,product(B,quotient(X_116,C))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(X_116)),bind(X_18,$fot(C)),bind(X_19,$fot(B))]]) ).

cnf(refute_0_11107,plain,
    ( bigC(quotient(X_116,C),B,C) != bigC(quotient(X_116,C),C,B)
    | bigC(quotient(X_116,C),C,B) != product(X_116,product(B,quotient(X_116,C)))
    | bigC(quotient(X_116,C),B,C) = product(X_116,product(B,quotient(X_116,C))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(X_116,C),B,C),product(X_116,product(B,quotient(X_116,C)))) ),[0],$fot(bigC(quotient(X_116,C),C,B))]]) ).

cnf(refute_0_11108,plain,
    ( bigC(quotient(X_116,C),B,C) != bigC(quotient(X_116,C),C,B)
    | bigC(quotient(X_116,C),B,C) = product(X_116,product(B,quotient(X_116,C))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(X_116,C),C,B),product(X_116,product(B,quotient(X_116,C)))) )],[refute_0_11106,refute_0_11107]) ).

cnf(refute_0_11109,plain,
    bigC(quotient(X_116,C),B,C) = product(X_116,product(B,quotient(X_116,C))),
    inference(resolve,[$cnf( $equal(bigC(quotient(X_116,C),B,C),bigC(quotient(X_116,C),C,B)) )],[refute_0_11105,refute_0_11108]) ).

cnf(refute_0_11110,plain,
    ( bigC(quotient(X_116,C),B,C) != product(X_116,product(B,quotient(X_116,C)))
    | product(X_116,product(B,quotient(X_116,C))) = bigC(quotient(X_116,C),B,C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(quotient(X_116,C),B,C))),bind(Y,$fot(product(X_116,product(B,quotient(X_116,C)))))]]) ).

cnf(refute_0_11111,plain,
    product(X_116,product(B,quotient(X_116,C))) = bigC(quotient(X_116,C),B,C),
    inference(resolve,[$cnf( $equal(bigC(quotient(X_116,C),B,C),product(X_116,product(B,quotient(X_116,C)))) )],[refute_0_11109,refute_0_11110]) ).

cnf(refute_0_11112,plain,
    product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) = bigC(quotient(bigC(a,a,b),c),X_118,c),
    inference(subst,[],[refute_0_11111:[bind(B,$fot(X_118)),bind(C,$fot(c)),bind(X_116,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_11113,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_118,c) != bigC(product(c,a),X_118,c)
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) != bigC(quotient(bigC(a,a,b),c),X_118,c)
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_118,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))))),bind(Y,$fot(bigC(quotient(bigC(a,a,b),c),X_118,c))),bind(Z,$fot(bigC(product(c,a),X_118,c)))]]) ).

cnf(refute_0_11114,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_118,c) != bigC(product(c,a),X_118,c)
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_118,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))),bigC(quotient(bigC(a,a,b),c),X_118,c)) )],[refute_0_11112,refute_0_11113]) ).

cnf(refute_0_11115,plain,
    product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_118,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_118,c),bigC(product(c,a),X_118,c)) )],[refute_0_11104,refute_0_11114]) ).

cnf(refute_0_11116,plain,
    ( bigC(a,X_118,product(b,c)) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))) != bigC(product(c,a),X_118,c)
    | bigC(a,X_118,product(b,c)) = bigC(product(c,a),X_118,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_118,product(b,c)),bigC(product(c,a),X_118,c)) ),[0],$fot(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))))]]) ).

cnf(refute_0_11117,plain,
    ( bigC(a,X_118,product(b,c)) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | bigC(a,X_118,product(b,c)) = bigC(product(c,a),X_118,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c))),bigC(product(c,a),X_118,c)) )],[refute_0_11115,refute_0_11116]) ).

cnf(refute_0_11118,plain,
    ( bigC(product(c,a),c,X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))
    | bigC(a,X_118,product(b,c)) = bigC(product(c,a),X_118,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_118,product(b,c)),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))) )],[refute_0_11100,refute_0_11117]) ).

cnf(refute_0_11119,plain,
    bigC(a,X_118,product(b,c)) = bigC(product(c,a),X_118,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),c)))) )],[refute_0_11082,refute_0_11118]) ).

cnf(refute_0_11120,plain,
    bigC(a,product(c,a),product(b,c)) = bigC(product(c,a),product(c,a),c),
    inference(subst,[],[refute_0_11119:[bind(X_118,$fot(product(c,a)))]]) ).

cnf(refute_0_11121,plain,
    ( bigC(a,product(c,a),product(b,c)) != bigC(product(c,a),product(c,a),c)
    | bigC(product(c,a),product(c,a),c) = bigC(a,product(c,a),product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,product(c,a),product(b,c)))),bind(Y,$fot(bigC(product(c,a),product(c,a),c)))]]) ).

cnf(refute_0_11122,plain,
    bigC(product(c,a),product(c,a),c) = bigC(a,product(c,a),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),product(b,c)),bigC(product(c,a),product(c,a),c)) )],[refute_0_11120,refute_0_11121]) ).

cnf(refute_0_11123,plain,
    ( bigC(product(c,a),product(c,a),c) != bigC(a,product(c,a),product(b,c))
    | quotient(bigC(product(c,a),product(c,a),c),product(c,a)) != product(product(c,a),c)
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = product(product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,a),product(c,a),c),product(c,a)),product(product(c,a),c)) ),[0,0],$fot(bigC(a,product(c,a),product(b,c)))]]) ).

cnf(refute_0_11124,plain,
    ( quotient(bigC(product(c,a),product(c,a),c),product(c,a)) != product(product(c,a),c)
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = product(product(c,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),c),bigC(a,product(c,a),product(b,c))) )],[refute_0_11122,refute_0_11123]) ).

cnf(refute_0_11125,plain,
    quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = product(product(c,a),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),product(c,a),c),product(c,a)),product(product(c,a),c)) )],[refute_0_4045,refute_0_11124]) ).

cnf(refute_0_11126,plain,
    bigC(quotient(bigC(a,a,b),c),c,quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)),
    inference(subst,[],[refute_0_56:[bind(A,$fot(bigC(a,a,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_11127,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_11128,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_11079,refute_0_11127]) ).

cnf(refute_0_11129,plain,
    bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) )],[refute_0_11126,refute_0_11128]) ).

cnf(refute_0_11130,plain,
    bigC(a,product(b,c),quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),quotient(bigC(a,a,b),c)),
    introduced(tautology,[refl,[$fot(bigC(a,product(b,c),quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_11131,plain,
    ( bigC(a,product(b,c),quotient(bigC(a,a,b),c)) != bigC(a,product(b,c),quotient(bigC(a,a,b),c))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(a,product(b,c),quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(b,c),quotient(bigC(a,a,b),c)),bigC(a,product(b,c),quotient(bigC(a,a,b),c))) ),[1,2],$fot(product(c,a))]]) ).

cnf(refute_0_11132,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(a,product(b,c),quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),quotient(bigC(a,a,b),c)),bigC(a,product(b,c),quotient(bigC(a,a,b),c))) )],[refute_0_11130,refute_0_11131]) ).

cnf(refute_0_11133,plain,
    bigC(a,product(b,c),quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_11079,refute_0_11132]) ).

cnf(refute_0_11134,plain,
    bigC(a,quotient(bigC(a,a,b),c),product(b,c)) = bigC(a,product(b,c),quotient(bigC(a,a,b),c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(b,c))),bind(C,$fot(quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_11135,plain,
    bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,quotient(bigC(a,a,b),c),product(b,c)),
    inference(subst,[],[refute_0_11097:[bind(X_19,$fot(quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_11136,plain,
    ( bigC(a,quotient(bigC(a,a,b),c),product(b,c)) != bigC(a,product(b,c),quotient(bigC(a,a,b),c))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != bigC(a,quotient(bigC(a,a,b),c),product(b,c))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),quotient(bigC(a,a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),c,quotient(bigC(a,a,b),c)))),bind(Y,$fot(bigC(a,quotient(bigC(a,a,b),c),product(b,c)))),bind(Z,$fot(bigC(a,product(b,c),quotient(bigC(a,a,b),c))))]]) ).

cnf(refute_0_11137,plain,
    ( bigC(a,quotient(bigC(a,a,b),c),product(b,c)) != bigC(a,product(b,c),quotient(bigC(a,a,b),c))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),quotient(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,quotient(bigC(a,a,b),c)),bigC(a,quotient(bigC(a,a,b),c),product(b,c))) )],[refute_0_11135,refute_0_11136]) ).

cnf(refute_0_11138,plain,
    bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),quotient(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(bigC(a,a,b),c),product(b,c)),bigC(a,product(b,c),quotient(bigC(a,a,b),c))) )],[refute_0_11134,refute_0_11137]) ).

cnf(refute_0_11139,plain,
    ( bigC(a,product(b,c),quotient(bigC(a,a,b),c)) != bigC(a,product(b,c),product(c,a))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != bigC(a,product(b,c),quotient(bigC(a,a,b),c))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),c,quotient(bigC(a,a,b),c)))),bind(Y,$fot(bigC(a,product(b,c),quotient(bigC(a,a,b),c)))),bind(Z,$fot(bigC(a,product(b,c),product(c,a))))]]) ).

cnf(refute_0_11140,plain,
    ( bigC(a,product(b,c),quotient(bigC(a,a,b),c)) != bigC(a,product(b,c),product(c,a))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,quotient(bigC(a,a,b),c)),bigC(a,product(b,c),quotient(bigC(a,a,b),c))) )],[refute_0_11138,refute_0_11139]) ).

cnf(refute_0_11141,plain,
    bigC(product(c,a),c,quotient(bigC(a,a,b),c)) = bigC(a,product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),quotient(bigC(a,a,b),c)),bigC(a,product(b,c),product(c,a))) )],[refute_0_11133,refute_0_11140]) ).

cnf(refute_0_11142,plain,
    ( bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != bigC(a,product(b,c),product(c,a))
    | bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | bigC(a,product(b,c),product(c,a)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),c,quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) ),[0],$fot(bigC(a,product(b,c),product(c,a)))]]) ).

cnf(refute_0_11143,plain,
    ( bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | bigC(a,product(b,c),product(c,a)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,quotient(bigC(a,a,b),c)),bigC(a,product(b,c),product(c,a))) )],[refute_0_11141,refute_0_11142]) ).

cnf(refute_0_11144,plain,
    bigC(a,product(b,a),c) = bigC(a,c,product(b,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_11145,plain,
    product(bigC(a,a,b),product(c,a)) = bigC(a,product(b,a),c),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(a)),bind(C,$fot(c)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_11146,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_32:[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_11147,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_11145,refute_0_11146]) ).

cnf(refute_0_11148,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_11144,refute_0_11147]) ).

cnf(refute_0_11149,plain,
    product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),quotient(bigC(a,a,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_11150,plain,
    ( product(bigC(a,a,b),quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_11151,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) )],[refute_0_11149,refute_0_11150]) ).

cnf(refute_0_11152,plain,
    product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = product(bigC(a,a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_11079,refute_0_11151]) ).

cnf(refute_0_11153,plain,
    ( product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),product(c,a))
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = bigC(a,c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),quotient(bigC(a,a,b),c)))),bind(Y,$fot(product(bigC(a,a,b),product(c,a)))),bind(Z,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_11154,plain,
    ( product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(bigC(a,a,b),c)),product(bigC(a,a,b),product(c,a))) )],[refute_0_11152,refute_0_11153]) ).

cnf(refute_0_11155,plain,
    product(bigC(a,a,b),quotient(bigC(a,a,b),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_11148,refute_0_11154]) ).

cnf(refute_0_11156,plain,
    ( bigC(a,product(b,c),product(c,a)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | product(bigC(a,a,b),quotient(bigC(a,a,b),c)) != bigC(a,c,product(b,a))
    | bigC(a,product(b,c),product(c,a)) = bigC(a,c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(b,c),product(c,a)),bigC(a,c,product(b,a))) ),[0],$fot(product(bigC(a,a,b),quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_11157,plain,
    ( bigC(a,product(b,c),product(c,a)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | bigC(a,product(b,c),product(c,a)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(bigC(a,a,b),c)),bigC(a,c,product(b,a))) )],[refute_0_11155,refute_0_11156]) ).

cnf(refute_0_11158,plain,
    ( bigC(product(c,a),c,quotient(bigC(a,a,b),c)) != product(bigC(a,a,b),quotient(bigC(a,a,b),c))
    | bigC(a,product(b,c),product(c,a)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(c,a)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) )],[refute_0_11143,refute_0_11157]) ).

cnf(refute_0_11159,plain,
    bigC(a,product(b,c),product(c,a)) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,quotient(bigC(a,a,b),c)),product(bigC(a,a,b),quotient(bigC(a,a,b),c))) )],[refute_0_11129,refute_0_11158]) ).

cnf(refute_0_11160,plain,
    difference(product(c,c),bigC(c,c,product(product(b,c),a))) = product(product(product(b,c),a),c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(c)),bind(X_19,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_11161,plain,
    bigC(c,product(product(b,c),a),c) = product(product(c,product(product(b,c),a)),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_11162,plain,
    bigC(difference(X_36,B),difference(X_36,B),X_36) = product(difference(X_36,B),product(X_36,difference(X_36,B))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(difference(X_36,B))),bind(X_19,$fot(X_36))]]) ).

cnf(refute_0_11163,plain,
    product(X_36,difference(X_36,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_36))]]) ).

cnf(refute_0_11164,plain,
    ( bigC(difference(X_36,B),difference(X_36,B),X_36) != product(difference(X_36,B),product(X_36,difference(X_36,B)))
    | product(X_36,difference(X_36,B)) != B
    | bigC(difference(X_36,B),difference(X_36,B),X_36) = product(difference(X_36,B),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_36,B),difference(X_36,B),X_36),product(difference(X_36,B),product(X_36,difference(X_36,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_11165,plain,
    ( bigC(difference(X_36,B),difference(X_36,B),X_36) != product(difference(X_36,B),product(X_36,difference(X_36,B)))
    | bigC(difference(X_36,B),difference(X_36,B),X_36) = product(difference(X_36,B),B) ),
    inference(resolve,[$cnf( $equal(product(X_36,difference(X_36,B)),B) )],[refute_0_11163,refute_0_11164]) ).

cnf(refute_0_11166,plain,
    bigC(difference(X_36,B),difference(X_36,B),X_36) = product(difference(X_36,B),B),
    inference(resolve,[$cnf( $equal(bigC(difference(X_36,B),difference(X_36,B),X_36),product(difference(X_36,B),product(X_36,difference(X_36,B)))) )],[refute_0_11162,refute_0_11165]) ).

cnf(refute_0_11167,plain,
    bigC(difference(X_36,B),difference(X_36,B),X_36) = bigC(difference(X_36,B),X_36,difference(X_36,B)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(difference(X_36,B))),bind(B,$fot(X_36)),bind(C,$fot(difference(X_36,B)))]]) ).

cnf(refute_0_11168,plain,
    ( bigC(difference(X_36,B),difference(X_36,B),X_36) != bigC(difference(X_36,B),X_36,difference(X_36,B))
    | bigC(difference(X_36,B),difference(X_36,B),X_36) != product(difference(X_36,B),B)
    | bigC(difference(X_36,B),X_36,difference(X_36,B)) = product(difference(X_36,B),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_36,B),difference(X_36,B),X_36),product(difference(X_36,B),B)) ),[0],$fot(bigC(difference(X_36,B),X_36,difference(X_36,B)))]]) ).

cnf(refute_0_11169,plain,
    ( bigC(difference(X_36,B),difference(X_36,B),X_36) != product(difference(X_36,B),B)
    | bigC(difference(X_36,B),X_36,difference(X_36,B)) = product(difference(X_36,B),B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(X_36,B),difference(X_36,B),X_36),bigC(difference(X_36,B),X_36,difference(X_36,B))) )],[refute_0_11167,refute_0_11168]) ).

cnf(refute_0_11170,plain,
    bigC(difference(X_36,B),X_36,difference(X_36,B)) = product(difference(X_36,B),B),
    inference(resolve,[$cnf( $equal(bigC(difference(X_36,B),difference(X_36,B),X_36),product(difference(X_36,B),B)) )],[refute_0_11166,refute_0_11169]) ).

cnf(refute_0_11171,plain,
    bigC(difference(c,product(b,product(a,c))),c,difference(c,product(b,product(a,c)))) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))),
    inference(subst,[],[refute_0_11170:[bind(B,$fot(product(b,product(a,c)))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_11172,plain,
    difference(quotient(product(b,product(a,c)),product(b,a)),product(b,product(a,c))) = product(b,a),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(b,a))),bind(X_11,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_11173,plain,
    ( difference(quotient(product(b,product(a,c)),product(b,a)),product(b,product(a,c))) != product(b,a)
    | quotient(product(b,product(a,c)),product(b,a)) != c
    | difference(c,product(b,product(a,c))) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(b,product(a,c)),product(b,a)),product(b,product(a,c))),product(b,a)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_11174,plain,
    ( difference(quotient(product(b,product(a,c)),product(b,a)),product(b,product(a,c))) != product(b,a)
    | difference(c,product(b,product(a,c))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(b,a)),c) )],[refute_0_2805,refute_0_11173]) ).

cnf(refute_0_11175,plain,
    difference(c,product(b,product(a,c))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(quotient(product(b,product(a,c)),product(b,a)),product(b,product(a,c))),product(b,a)) )],[refute_0_11172,refute_0_11174]) ).

cnf(refute_0_11176,plain,
    ( bigC(difference(c,product(b,product(a,c))),c,difference(c,product(b,product(a,c)))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | difference(c,product(b,product(a,c))) != product(b,a)
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(b,product(a,c))),c,difference(c,product(b,product(a,c)))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_11177,plain,
    ( bigC(difference(c,product(b,product(a,c))),c,difference(c,product(b,product(a,c)))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(b,product(a,c))),product(b,a)) )],[refute_0_11175,refute_0_11176]) ).

cnf(refute_0_11178,plain,
    bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,product(a,c))),c,difference(c,product(b,product(a,c)))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_11171,refute_0_11177]) ).

cnf(refute_0_11179,plain,
    bigC(A,B,difference(A,X_47)) = bigC(A,difference(A,X_47),B),
    inference(subst,[],[refute_0_121:[bind(C,$fot(difference(A,X_47)))]]) ).

cnf(refute_0_11180,plain,
    bigC(A,difference(A,X_47),B) = product(X_47,product(B,A)),
    inference(subst,[],[refute_0_98:[bind(B,$fot(X_47)),bind(X_17,$fot(A)),bind(X_19,$fot(B))]]) ).

cnf(refute_0_11181,plain,
    ( bigC(A,B,difference(A,X_47)) != bigC(A,difference(A,X_47),B)
    | bigC(A,difference(A,X_47),B) != product(X_47,product(B,A))
    | bigC(A,B,difference(A,X_47)) = product(X_47,product(B,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(A,B,difference(A,X_47)),product(X_47,product(B,A))) ),[0],$fot(bigC(A,difference(A,X_47),B))]]) ).

cnf(refute_0_11182,plain,
    ( bigC(A,B,difference(A,X_47)) != bigC(A,difference(A,X_47),B)
    | bigC(A,B,difference(A,X_47)) = product(X_47,product(B,A)) ),
    inference(resolve,[$cnf( $equal(bigC(A,difference(A,X_47),B),product(X_47,product(B,A))) )],[refute_0_11180,refute_0_11181]) ).

cnf(refute_0_11183,plain,
    bigC(A,B,difference(A,X_47)) = product(X_47,product(B,A)),
    inference(resolve,[$cnf( $equal(bigC(A,B,difference(A,X_47)),bigC(A,difference(A,X_47),B)) )],[refute_0_11179,refute_0_11182]) ).

cnf(refute_0_11184,plain,
    bigC(c,product(b,a),difference(c,product(b,product(a,c)))) = product(product(b,product(a,c)),product(product(b,a),c)),
    inference(subst,[],[refute_0_11183:[bind(A,$fot(c)),bind(B,$fot(product(b,a))),bind(X_47,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_11185,plain,
    ( bigC(c,product(b,a),difference(c,product(b,product(a,c)))) != product(product(b,product(a,c)),product(product(b,a),c))
    | product(product(b,product(a,c)),product(product(b,a),c)) != product(c,product(product(b,c),a))
    | bigC(c,product(b,a),difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(b,a),difference(c,product(b,product(a,c)))))),bind(Y,$fot(product(product(b,product(a,c)),product(product(b,a),c)))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_11186,plain,
    ( product(product(b,product(a,c)),product(product(b,a),c)) != product(c,product(product(b,c),a))
    | bigC(c,product(b,a),difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),difference(c,product(b,product(a,c)))),product(product(b,product(a,c)),product(product(b,a),c))) )],[refute_0_11184,refute_0_11185]) ).

cnf(refute_0_11187,plain,
    bigC(c,product(b,a),difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,a),c)),product(c,product(product(b,c),a))) )],[refute_0_10353,refute_0_11186]) ).

cnf(refute_0_11188,plain,
    bigC(c,difference(c,product(b,product(a,c))),product(b,a)) = bigC(c,product(b,a),difference(c,product(b,product(a,c)))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(b,a))),bind(C,$fot(difference(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_11189,plain,
    ( bigC(c,difference(c,product(b,product(a,c))),product(b,a)) != bigC(c,product(b,a),difference(c,product(b,product(a,c))))
    | bigC(c,product(b,a),difference(c,product(b,product(a,c)))) != product(c,product(product(b,c),a))
    | bigC(c,difference(c,product(b,product(a,c))),product(b,a)) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,difference(c,product(b,product(a,c))),product(b,a)))),bind(Y,$fot(bigC(c,product(b,a),difference(c,product(b,product(a,c)))))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_11190,plain,
    ( bigC(c,product(b,a),difference(c,product(b,product(a,c)))) != product(c,product(product(b,c),a))
    | bigC(c,difference(c,product(b,product(a,c))),product(b,a)) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,product(b,product(a,c))),product(b,a)),bigC(c,product(b,a),difference(c,product(b,product(a,c))))) )],[refute_0_11188,refute_0_11189]) ).

cnf(refute_0_11191,plain,
    bigC(c,difference(c,product(b,product(a,c))),product(b,a)) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),difference(c,product(b,product(a,c)))),product(c,product(product(b,c),a))) )],[refute_0_11187,refute_0_11190]) ).

cnf(refute_0_11192,plain,
    bigC(c,B,product(b,a)) = product(product(c,B),product(product(b,a),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_11193,plain,
    difference(product(a,product(b,a)),bigC(a,product(b,a),product(c,b))) = product(product(c,b),a),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(a)),bind(X_18,$fot(product(b,a))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_11194,plain,
    product(product(product(a,b),product(c,b)),a) = product(product(product(a,b),c),bigC(a,a,c)),
    inference(subst,[],[refute_0_9271:[bind(X_96,$fot(product(a,b)))]]) ).

cnf(refute_0_11195,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),product(c,b)),a) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,b),product(c,b)),a) = product(product(c,product(c,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),a),product(product(product(a,b),c),bigC(a,a,c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_11196,plain,
    ( product(product(product(a,b),product(c,b)),a) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,b),product(c,b)),a) = 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_4299,refute_0_11195]) ).

cnf(refute_0_11197,plain,
    product(product(product(a,b),product(c,b)),a) = product(product(c,product(c,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),a),product(product(product(a,b),c),bigC(a,a,c))) )],[refute_0_11194,refute_0_11196]) ).

cnf(refute_0_11198,plain,
    product(product(product(X_98,X_18),X_97),X_98) = product(product(product(X_98,X_18),X_98),product(X_97,X_98)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(X_98,X_18))),bind(X_24,$fot(X_97)),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_11199,plain,
    bigC(X_98,X_18,X_98) = product(product(X_98,X_18),X_98),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(X_98))]]) ).

cnf(refute_0_11200,plain,
    ( bigC(X_98,X_18,X_98) != product(product(X_98,X_18),X_98)
    | product(product(X_98,X_18),X_98) = bigC(X_98,X_18,X_98) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_98,X_18,X_98))),bind(Y,$fot(product(product(X_98,X_18),X_98)))]]) ).

cnf(refute_0_11201,plain,
    product(product(X_98,X_18),X_98) = bigC(X_98,X_18,X_98),
    inference(resolve,[$cnf( $equal(bigC(X_98,X_18,X_98),product(product(X_98,X_18),X_98)) )],[refute_0_11199,refute_0_11200]) ).

cnf(refute_0_11202,plain,
    ( product(product(X_98,X_18),X_98) != bigC(X_98,X_18,X_98)
    | product(product(product(X_98,X_18),X_97),X_98) != product(product(product(X_98,X_18),X_98),product(X_97,X_98))
    | product(product(product(X_98,X_18),X_97),X_98) = product(bigC(X_98,X_18,X_98),product(X_97,X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_98,X_18),X_97),X_98),product(product(product(X_98,X_18),X_98),product(X_97,X_98))) ),[1,0],$fot(bigC(X_98,X_18,X_98))]]) ).

cnf(refute_0_11203,plain,
    ( product(product(product(X_98,X_18),X_97),X_98) != product(product(product(X_98,X_18),X_98),product(X_97,X_98))
    | product(product(product(X_98,X_18),X_97),X_98) = product(bigC(X_98,X_18,X_98),product(X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_98,X_18),X_98),bigC(X_98,X_18,X_98)) )],[refute_0_11201,refute_0_11202]) ).

cnf(refute_0_11204,plain,
    product(product(product(X_98,X_18),X_97),X_98) = product(bigC(X_98,X_18,X_98),product(X_97,X_98)),
    inference(resolve,[$cnf( $equal(product(product(product(X_98,X_18),X_97),X_98),product(product(product(X_98,X_18),X_98),product(X_97,X_98))) )],[refute_0_11198,refute_0_11203]) ).

cnf(refute_0_11205,plain,
    product(bigC(X_98,X_18,X_98),product(X_97,X_98)) = bigC(X_98,product(X_18,X_98),X_97),
    inference(subst,[],[refute_0_1140:[bind(X_17,$fot(X_98)),bind(X_19,$fot(X_97)),bind(X_60,$fot(X_18))]]) ).

cnf(refute_0_11206,plain,
    ( product(bigC(X_98,X_18,X_98),product(X_97,X_98)) != bigC(X_98,product(X_18,X_98),X_97)
    | product(product(product(X_98,X_18),X_97),X_98) != product(bigC(X_98,X_18,X_98),product(X_97,X_98))
    | product(product(product(X_98,X_18),X_97),X_98) = bigC(X_98,product(X_18,X_98),X_97) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_98,X_18),X_97),X_98),product(bigC(X_98,X_18,X_98),product(X_97,X_98))) ),[1],$fot(bigC(X_98,product(X_18,X_98),X_97))]]) ).

cnf(refute_0_11207,plain,
    ( product(product(product(X_98,X_18),X_97),X_98) != product(bigC(X_98,X_18,X_98),product(X_97,X_98))
    | product(product(product(X_98,X_18),X_97),X_98) = bigC(X_98,product(X_18,X_98),X_97) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_98,X_18,X_98),product(X_97,X_98)),bigC(X_98,product(X_18,X_98),X_97)) )],[refute_0_11205,refute_0_11206]) ).

cnf(refute_0_11208,plain,
    product(product(product(X_98,X_18),X_97),X_98) = bigC(X_98,product(X_18,X_98),X_97),
    inference(resolve,[$cnf( $equal(product(product(product(X_98,X_18),X_97),X_98),product(bigC(X_98,X_18,X_98),product(X_97,X_98))) )],[refute_0_11204,refute_0_11207]) ).

cnf(refute_0_11209,plain,
    product(product(product(a,b),product(c,b)),a) = bigC(a,product(b,a),product(c,b)),
    inference(subst,[],[refute_0_11208:[bind(X_18,$fot(b)),bind(X_97,$fot(product(c,b))),bind(X_98,$fot(a))]]) ).

cnf(refute_0_11210,plain,
    ( product(product(product(a,b),product(c,b)),a) != bigC(a,product(b,a),product(c,b))
    | product(product(product(a,b),product(c,b)),a) != product(product(c,product(c,b)),bigC(a,a,c))
    | bigC(a,product(b,a),product(c,b)) = product(product(c,product(c,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),a),product(product(c,product(c,b)),bigC(a,a,c))) ),[0],$fot(bigC(a,product(b,a),product(c,b)))]]) ).

cnf(refute_0_11211,plain,
    ( product(product(product(a,b),product(c,b)),a) != product(product(c,product(c,b)),bigC(a,a,c))
    | bigC(a,product(b,a),product(c,b)) = product(product(c,product(c,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),a),bigC(a,product(b,a),product(c,b))) )],[refute_0_11209,refute_0_11210]) ).

cnf(refute_0_11212,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_11213,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_11214,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_11212,refute_0_11213]) ).

cnf(refute_0_11215,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_2203,refute_0_11214]) ).

cnf(refute_0_11216,plain,
    product(product(c,product(c,b)),bigC(a,a,c)) = product(bigC(c,c,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_11217,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_32:[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_11218,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_11216,refute_0_11217]) ).

cnf(refute_0_11219,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_11215,refute_0_11218]) ).

cnf(refute_0_11220,plain,
    ( bigC(a,product(b,a),product(c,b)) != product(product(c,product(c,b)),bigC(a,a,c))
    | product(product(c,product(c,b)),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | bigC(a,product(b,a),product(c,b)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(b,a),product(c,b)),product(c,bigC(a,a,b))) ),[0],$fot(product(product(c,product(c,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_11221,plain,
    ( bigC(a,product(b,a),product(c,b)) != product(product(c,product(c,b)),bigC(a,a,c))
    | bigC(a,product(b,a),product(c,b)) = 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_11219,refute_0_11220]) ).

cnf(refute_0_11222,plain,
    ( product(product(product(a,b),product(c,b)),a) != product(product(c,product(c,b)),bigC(a,a,c))
    | bigC(a,product(b,a),product(c,b)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),product(c,b)),product(product(c,product(c,b)),bigC(a,a,c))) )],[refute_0_11211,refute_0_11221]) ).

cnf(refute_0_11223,plain,
    bigC(a,product(b,a),product(c,b)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),a),product(product(c,product(c,b)),bigC(a,a,c))) )],[refute_0_11197,refute_0_11222]) ).

cnf(refute_0_11224,plain,
    ( bigC(a,product(b,a),product(c,b)) != product(c,bigC(a,a,b))
    | difference(product(a,product(b,a)),bigC(a,product(b,a),product(c,b))) != product(product(c,b),a)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),bigC(a,product(b,a),product(c,b))),product(product(c,b),a)) ),[0,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_11225,plain,
    ( difference(product(a,product(b,a)),bigC(a,product(b,a),product(c,b))) != product(product(c,b),a)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),product(c,b)),product(c,bigC(a,a,b))) )],[refute_0_11223,refute_0_11224]) ).

cnf(refute_0_11226,plain,
    difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),bigC(a,product(b,a),product(c,b))),product(product(c,b),a)) )],[refute_0_11193,refute_0_11225]) ).

cnf(refute_0_11227,plain,
    quotient(bigC(c,a,c),product(bigC(c,a,c),product(bigC(c,a,c),bigC(b,b,c)))) = product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(bigC(b,b,c))),bind(X_16,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_11228,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(bigC(c,a,c),bigC(b,b,c)))) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(bigC(c,a,c),bigC(b,b,c)))),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) ),[0,1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_11229,plain,
    ( quotient(bigC(c,a,c),product(bigC(c,a,c),product(bigC(c,a,c),bigC(b,b,c)))) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = product(product(bigC(b,b,c),bigC(c,a,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_965,refute_0_11228]) ).

cnf(refute_0_11230,plain,
    quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(bigC(c,a,c),bigC(b,b,c)))),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) )],[refute_0_11227,refute_0_11229]) ).

cnf(refute_0_11231,plain,
    product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),
    inference(subst,[],[refute_0_4216:[bind(B,$fot(bigC(c,a,b))),bind(X_59,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_11232,plain,
    product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)))]]) ).

cnf(refute_0_11233,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),bigC(c,a,b))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) ),[1,0],$fot(difference(bigC(c,a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_11234,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),bigC(c,a,b))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) )],[refute_0_11232,refute_0_11233]) ).

cnf(refute_0_11235,plain,
    product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),difference(bigC(c,a,c),bigC(c,a,b))) )],[refute_0_4854,refute_0_11234]) ).

cnf(refute_0_11236,plain,
    ( product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)))),bind(Y,$fot(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)))),bind(Z,$fot(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))))]]) ).

cnf(refute_0_11237,plain,
    ( product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c))) )],[refute_0_11235,refute_0_11236]) ).

cnf(refute_0_11238,plain,
    product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),bigC(c,a,b)),bigC(c,a,c)),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) )],[refute_0_11231,refute_0_11237]) ).

cnf(refute_0_11239,plain,
    ( product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) ),[1],$fot(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_11240,plain,
    ( quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c)),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) )],[refute_0_11238,refute_0_11239]) ).

cnf(refute_0_11241,plain,
    quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),product(product(bigC(b,b,c),bigC(c,a,c)),bigC(c,a,c))) )],[refute_0_11230,refute_0_11240]) ).

cnf(refute_0_11242,plain,
    product(bigC(c,c,c),product(a,b)) = product(bigC(c,c,c),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,c),product(a,b)))]]) ).

cnf(refute_0_11243,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),product(a,b)) != product(bigC(c,c,c),product(a,b))
    | product(bigC(c,c,c),product(a,b)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,c),product(a,b)),product(bigC(c,c,c),product(a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11244,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),product(a,b)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),product(a,b)),product(bigC(c,c,c),product(a,b))) )],[refute_0_11242,refute_0_11243]) ).

cnf(refute_0_11245,plain,
    product(bigC(c,c,c),product(a,b)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,c),c) )],[refute_0_2203,refute_0_11244]) ).

cnf(refute_0_11246,plain,
    product(bigC(c,a,c),product(product(c,a),b)) = product(bigC(c,c,c),product(a,b)),
    inference(subst,[],[refute_0_398:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_11247,plain,
    ( product(bigC(c,a,c),product(product(c,a),b)) != product(bigC(c,c,c),product(a,b))
    | product(bigC(c,c,c),product(a,b)) != product(c,product(a,b))
    | product(bigC(c,a,c),product(product(c,a),b)) = product(c,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,c),product(product(c,a),b)))),bind(Y,$fot(product(bigC(c,c,c),product(a,b)))),bind(Z,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_11248,plain,
    ( product(bigC(c,c,c),product(a,b)) != product(c,product(a,b))
    | product(bigC(c,a,c),product(product(c,a),b)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,a),b)),product(bigC(c,c,c),product(a,b))) )],[refute_0_11246,refute_0_11247]) ).

cnf(refute_0_11249,plain,
    product(bigC(c,a,c),product(product(c,a),b)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),product(a,b)),product(c,product(a,b))) )],[refute_0_11245,refute_0_11248]) ).

cnf(refute_0_11250,plain,
    quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_11251,plain,
    ( product(bigC(c,a,c),product(product(c,a),b)) != product(c,product(a,b))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b)))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = quotient(bigC(c,a,c),product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b)))) ),[1,1],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_11252,plain,
    ( product(bigC(c,a,c),product(product(c,a),b)) != product(c,product(a,b))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = quotient(bigC(c,a,c),product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b)))) )],[refute_0_11250,refute_0_11251]) ).

cnf(refute_0_11253,plain,
    quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) = quotient(bigC(c,a,c),product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,a),b)),product(c,product(a,b))) )],[refute_0_11249,refute_0_11252]) ).

cnf(refute_0_11254,plain,
    ( quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != quotient(bigC(c,a,c),product(c,product(a,b)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) ),[0],$fot(quotient(bigC(c,a,c),product(c,product(a,b))))]]) ).

cnf(refute_0_11255,plain,
    ( quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),quotient(bigC(c,a,c),product(c,product(a,b)))) )],[refute_0_11253,refute_0_11254]) ).

cnf(refute_0_11256,plain,
    quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(bigC(c,a,c),product(product(c,a),b))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) )],[refute_0_11241,refute_0_11255]) ).

cnf(refute_0_11257,plain,
    product(bigC(c,a,b),bigC(c,a,c)) = product(bigC(c,a,b),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_11258,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(c,a,c)) != product(bigC(c,a,b),bigC(c,a,c))
    | product(bigC(c,a,b),bigC(c,a,c)) = product(c,bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),bigC(c,a,c)),product(bigC(c,a,b),bigC(c,a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11259,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(c,a,c)) = product(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(c,a,c)),product(bigC(c,a,b),bigC(c,a,c))) )],[refute_0_11257,refute_0_11258]) ).

cnf(refute_0_11260,plain,
    product(bigC(c,a,b),bigC(c,a,c)) = product(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_11259]) ).

cnf(refute_0_11261,plain,
    difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) = difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_11262,plain,
    ( difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | product(bigC(c,a,b),bigC(c,a,c)) != product(c,bigC(c,a,c))
    | difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) ),[1,1],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_11263,plain,
    ( product(bigC(c,a,b),bigC(c,a,c)) != product(c,bigC(c,a,c))
    | difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) )],[refute_0_11261,refute_0_11262]) ).

cnf(refute_0_11264,plain,
    difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(c,a,c)),product(c,bigC(c,a,c))) )],[refute_0_11260,refute_0_11263]) ).

cnf(refute_0_11265,plain,
    ( difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) ),[1],$fot(difference(bigC(c,a,c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_11266,plain,
    ( quotient(bigC(c,a,c),product(c,product(a,b))) != difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) )],[refute_0_11264,refute_0_11265]) ).

cnf(refute_0_11267,plain,
    quotient(bigC(c,a,c),product(c,product(a,b))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),difference(bigC(c,a,c),product(bigC(c,a,b),bigC(c,a,c)))) )],[refute_0_11256,refute_0_11266]) ).

cnf(refute_0_11268,plain,
    quotient(bigC(c,a,c),product(c,product(a,b))) = quotient(bigC(c,a,c),product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,c),product(c,product(a,b))))]]) ).

cnf(refute_0_11269,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(bigC(c,a,c),product(c,product(a,b))) != quotient(bigC(c,a,c),product(c,product(a,b)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = quotient(bigC(c,a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),quotient(bigC(c,a,c),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_11270,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(bigC(c,a,c),product(c,product(a,b))) = quotient(bigC(c,a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),quotient(bigC(c,a,c),product(c,product(a,b)))) )],[refute_0_11268,refute_0_11269]) ).

cnf(refute_0_11271,plain,
    quotient(bigC(c,a,c),product(c,product(a,b))) = quotient(bigC(c,a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_11270]) ).

cnf(refute_0_11272,plain,
    ( quotient(bigC(c,a,c),product(c,product(a,b))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(c,product(a,b))) != quotient(bigC(c,a,c),product(a,product(b,c)))
    | quotient(bigC(c,a,c),product(a,product(b,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) ),[0],$fot(quotient(bigC(c,a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_11273,plain,
    ( quotient(bigC(c,a,c),product(c,product(a,b))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(c,a,c),product(a,product(b,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),quotient(bigC(c,a,c),product(a,product(b,c)))) )],[refute_0_11271,refute_0_11272]) ).

cnf(refute_0_11274,plain,
    quotient(bigC(c,a,c),product(a,product(b,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(c,product(a,b))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) )],[refute_0_11267,refute_0_11273]) ).

cnf(refute_0_11275,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_11276,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_11277,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_11275,refute_0_11276]) ).

cnf(refute_0_11278,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_1946,refute_0_11277]) ).

cnf(refute_0_11279,plain,
    ( quotient(bigC(c,a,c),product(a,product(b,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | 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))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) ),[0],$fot(quotient(bigC(a,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_11280,plain,
    ( quotient(bigC(c,a,c),product(a,product(b,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))) ),
    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_11278,refute_0_11279]) ).

cnf(refute_0_11281,plain,
    difference(bigC(a,a,b),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_11282,plain,
    ( difference(bigC(a,a,b),product(c,bigC(c,a,c))) != difference(bigC(a,a,b),product(c,bigC(c,a,c)))
    | product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | difference(bigC(a,a,b),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(c,a,c))),difference(bigC(a,a,b),product(c,bigC(c,a,c)))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_11283,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | difference(bigC(a,a,b),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(c,a,c))),difference(bigC(a,a,b),product(c,bigC(c,a,c)))) )],[refute_0_11281,refute_0_11282]) ).

cnf(refute_0_11284,plain,
    difference(bigC(a,a,b),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_1950,refute_0_11283]) ).

cnf(refute_0_11285,plain,
    difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(c,a,c),product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_11286,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(c,bigC(c,a,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11287,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(c,bigC(c,a,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) )],[refute_0_11285,refute_0_11286]) ).

cnf(refute_0_11288,plain,
    difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_11287]) ).

cnf(refute_0_11289,plain,
    ( difference(bigC(a,a,b),product(c,bigC(c,a,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) != difference(bigC(a,a,b),product(c,bigC(c,a,c)))
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(bigC(c,a,c),product(c,bigC(c,a,c))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,bigC(c,a,c))))),bind(Z,$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_11290,plain,
    ( difference(bigC(a,a,b),product(c,bigC(c,a,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(c,bigC(c,a,c))),difference(bigC(a,a,b),product(c,bigC(c,a,c)))) )],[refute_0_11288,refute_0_11289]) ).

cnf(refute_0_11291,plain,
    difference(bigC(c,a,c),product(c,bigC(c,a,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(c,a,c))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11284,refute_0_11290]) ).

cnf(refute_0_11292,plain,
    ( difference(bigC(c,a,c),product(c,bigC(c,a,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) ),[1],$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_11293,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(c,bigC(c,a,c))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11291,refute_0_11292]) ).

cnf(refute_0_11294,plain,
    ( quotient(bigC(c,a,c),product(a,product(b,c))) != difference(bigC(c,a,c),product(c,bigC(c,a,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) )],[refute_0_11280,refute_0_11293]) ).

cnf(refute_0_11295,plain,
    quotient(bigC(a,a,b),product(a,product(b,c))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),difference(bigC(c,a,c),product(c,bigC(c,a,c)))) )],[refute_0_11274,refute_0_11294]) ).

cnf(refute_0_11296,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))) = product(product(b,product(a,c)),bigC(a,a,b)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(bigC(a,a,b))),bind(X_19,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_11297,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(bigC(a,a,b))),bind(X_18,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_11298,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != product(product(bigC(a,a,b),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)
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = product(bigC(c,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_11299,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = product(bigC(c,a,b),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_2891,refute_0_11298]) ).

cnf(refute_0_11300,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = product(bigC(c,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b))) )],[refute_0_11297,refute_0_11299]) ).

cnf(refute_0_11301,plain,
    bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_11302,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),product(bigC(c,a,b),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_11303,plain,
    ( bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_11301,refute_0_11302]) ).

cnf(refute_0_11304,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),product(bigC(c,a,b),bigC(a,a,b))) )],[refute_0_11300,refute_0_11303]) ).

cnf(refute_0_11305,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_11306,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(bigC(a,a,b),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)
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) ),[1,2],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_11307,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_11305,refute_0_11306]) ).

cnf(refute_0_11308,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(bigC(a,a,b),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_2904,refute_0_11307]) ).

cnf(refute_0_11309,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(bigC(c,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(c,a,b),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)))]]) ).

cnf(refute_0_11310,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(bigC(c,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c))) )],[refute_0_11308,refute_0_11309]) ).

cnf(refute_0_11311,plain,
    product(bigC(c,a,b),bigC(a,a,b)) = product(bigC(c,a,b),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_11312,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(a,a,b)) != product(bigC(c,a,b),bigC(a,a,b))
    | product(bigC(c,a,b),bigC(a,a,b)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),bigC(a,a,b)),product(bigC(c,a,b),bigC(a,a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11313,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(a,a,b)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(a,a,b)),product(bigC(c,a,b),bigC(a,a,b))) )],[refute_0_11311,refute_0_11312]) ).

cnf(refute_0_11314,plain,
    product(bigC(c,a,b),bigC(a,a,b)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_11313]) ).

cnf(refute_0_11315,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != product(bigC(c,a,b),bigC(a,a,b))
    | product(bigC(c,a,b),bigC(a,a,b)) != product(c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),product(c,bigC(a,a,b))) ),[0],$fot(product(bigC(c,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_11316,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) )],[refute_0_11314,refute_0_11315]) ).

cnf(refute_0_11317,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,a,b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),product(bigC(c,a,b),bigC(a,a,b))) )],[refute_0_11310,refute_0_11316]) ).

cnf(refute_0_11318,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(c,a,b),bigC(a,a,b))) )],[refute_0_11304,refute_0_11317]) ).

cnf(refute_0_11319,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)))]]) ).

cnf(refute_0_11320,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c))) ),[1,2],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_11321,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c))) )],[refute_0_11319,refute_0_11320]) ).

cnf(refute_0_11322,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_11321]) ).

cnf(refute_0_11323,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != product(c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),product(c,bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))))]]) ).

cnf(refute_0_11324,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)) != product(c,bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))) )],[refute_0_11322,refute_0_11323]) ).

cnf(refute_0_11325,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(b,c),c)),product(c,bigC(a,a,b))) )],[refute_0_11318,refute_0_11324]) ).

cnf(refute_0_11326,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))) != product(c,bigC(a,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))) != product(product(b,product(a,c)),bigC(a,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))),product(product(b,product(a,c)),bigC(a,a,b))) ),[0,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_11327,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))) != product(product(b,product(a,c)),bigC(a,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c))),product(c,bigC(a,a,b))) )],[refute_0_11325,refute_0_11326]) ).

cnf(refute_0_11328,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = product(product(b,product(a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(b,product(a,c)))),product(product(b,product(a,c)),bigC(a,a,b))) )],[refute_0_11296,refute_0_11327]) ).

cnf(refute_0_11329,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(bigC(a,a,b),product(c,bigC(a,a,b))) = quotient(bigC(a,a,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(bigC(a,a,b),product(a,product(b,c))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_11330,plain,
    difference(bigC(a,a,b),product(c,bigC(a,a,b))) = quotient(bigC(a,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11295,refute_0_11329]) ).

cnf(refute_0_11331,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_11332,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b)))
    | product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11333,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b)))) )],[refute_0_11331,refute_0_11332]) ).

cnf(refute_0_11334,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_9538,refute_0_11333]) ).

cnf(refute_0_11335,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,a,b))) != quotient(bigC(a,a,b),product(a,product(b,c)))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = quotient(bigC(a,a,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b))))),bind(Z,$fot(quotient(bigC(a,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_11336,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,a,b))) != quotient(bigC(a,a,b),product(a,product(b,c)))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = quotient(bigC(a,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11334,refute_0_11335]) ).

cnf(refute_0_11337,plain,
    difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) = quotient(bigC(a,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(a,a,b))),quotient(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_11330,refute_0_11336]) ).

cnf(refute_0_11338,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != product(product(b,product(a,c)),bigC(a,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != quotient(bigC(a,a,b),product(a,product(b,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),product(product(b,product(a,c)),bigC(a,a,b))) ),[0],$fot(quotient(bigC(a,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_11339,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != product(product(b,product(a,c)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),quotient(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_11337,refute_0_11338]) ).

cnf(refute_0_11340,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_11341,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_11342,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_11340,refute_0_11341]) ).

cnf(refute_0_11343,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_5106,refute_0_11342]) ).

cnf(refute_0_11344,plain,
    product(bigC(b,b,a),bigC(a,a,c)) = product(product(b,a),bigC(a,c,b)),
    inference(subst,[],[refute_0_582:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_11345,plain,
    product(product(b,product(a,c)),bigC(a,a,b)) = product(bigC(b,b,a),bigC(a,a,c)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_11346,plain,
    ( product(bigC(b,b,a),bigC(a,a,c)) != product(product(b,a),bigC(a,c,b))
    | 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(product(b,a),bigC(a,c,b)) ),
    inference(subst,[],[refute_0_32:[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(product(b,a),bigC(a,c,b))))]]) ).

cnf(refute_0_11347,plain,
    ( product(bigC(b,b,a),bigC(a,a,c)) != product(product(b,a),bigC(a,c,b))
    | product(product(b,product(a,c)),bigC(a,a,b)) = product(product(b,a),bigC(a,c,b)) ),
    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_11345,refute_0_11346]) ).

cnf(refute_0_11348,plain,
    product(product(b,product(a,c)),bigC(a,a,b)) = product(product(b,a),bigC(a,c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(a,a,c)),product(product(b,a),bigC(a,c,b))) )],[refute_0_11344,refute_0_11347]) ).

cnf(refute_0_11349,plain,
    ( product(product(b,a),bigC(a,c,b)) != product(product(b,a),c)
    | product(product(b,product(a,c)),bigC(a,a,b)) != product(product(b,a),bigC(a,c,b))
    | product(product(b,product(a,c)),bigC(a,a,b)) = product(product(b,a),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),bigC(a,a,b)))),bind(Y,$fot(product(product(b,a),bigC(a,c,b)))),bind(Z,$fot(product(product(b,a),c)))]]) ).

cnf(refute_0_11350,plain,
    ( product(product(b,a),bigC(a,c,b)) != product(product(b,a),c)
    | product(product(b,product(a,c)),bigC(a,a,b)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,b)),product(product(b,a),bigC(a,c,b))) )],[refute_0_11348,refute_0_11349]) ).

cnf(refute_0_11351,plain,
    product(product(b,product(a,c)),bigC(a,a,b)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(a,c,b)),product(product(b,a),c)) )],[refute_0_11343,refute_0_11350]) ).

cnf(refute_0_11352,plain,
    ( product(product(b,product(a,c)),bigC(a,a,b)) != product(product(b,a),c)
    | quotient(bigC(a,a,b),product(a,product(b,c))) != product(product(b,product(a,c)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(product(b,product(a,c)),bigC(a,a,b))) ),[1],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_11353,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != product(product(b,product(a,c)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,b)),product(product(b,a),c)) )],[refute_0_11351,refute_0_11352]) ).

cnf(refute_0_11354,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))) != product(product(b,product(a,c)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(product(b,product(a,c)),bigC(a,a,b))) )],[refute_0_11339,refute_0_11353]) ).

cnf(refute_0_11355,plain,
    quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,b)),product(c,bigC(a,a,b))),product(product(b,product(a,c)),bigC(a,a,b))) )],[refute_0_11328,refute_0_11354]) ).

cnf(refute_0_11356,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) != product(product(b,a),c)
    | product(product(b,a),c) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) ),[0],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_11357,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | product(product(b,a),c) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(product(b,a),c)) )],[refute_0_11355,refute_0_11356]) ).

cnf(refute_0_11358,plain,
    product(product(b,a),c) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11295,refute_0_11357]) ).

cnf(refute_0_11359,plain,
    ( product(product(b,a),c) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(bigC(a,a,b),product(c,bigC(a,a,b))) = product(product(b,a),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,a),c))),bind(Y,$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b)))))]]) ).

cnf(refute_0_11360,plain,
    difference(bigC(a,a,b),product(c,bigC(a,a,b))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11358,refute_0_11359]) ).

cnf(refute_0_11361,plain,
    product(a,product(b,a)) = bigC(a,a,b),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(a)),bind(X_19,$fot(b))]]) ).

cnf(refute_0_11362,plain,
    difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = difference(product(a,product(b,a)),product(c,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,a)),product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_11363,plain,
    ( difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != difference(product(a,product(b,a)),product(c,bigC(a,a,b)))
    | product(a,product(b,a)) != bigC(a,a,b)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),difference(product(a,product(b,a)),product(c,bigC(a,a,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11364,plain,
    ( product(a,product(b,a)) != bigC(a,a,b)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),difference(product(a,product(b,a)),product(c,bigC(a,a,b)))) )],[refute_0_11362,refute_0_11363]) ).

cnf(refute_0_11365,plain,
    difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = difference(bigC(a,a,b),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(a,product(b,a)),bigC(a,a,b)) )],[refute_0_11361,refute_0_11364]) ).

cnf(refute_0_11366,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,a,b))) != product(product(b,a),c)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != difference(bigC(a,a,b),product(c,bigC(a,a,b)))
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(b,a),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(a,product(b,a)),product(c,bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,bigC(a,a,b))))),bind(Z,$fot(product(product(b,a),c)))]]) ).

cnf(refute_0_11367,plain,
    ( difference(bigC(a,a,b),product(c,bigC(a,a,b))) != product(product(b,a),c)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),difference(bigC(a,a,b),product(c,bigC(a,a,b)))) )],[refute_0_11365,refute_0_11366]) ).

cnf(refute_0_11368,plain,
    difference(product(a,product(b,a)),product(c,bigC(a,a,b))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,bigC(a,a,b))),product(product(b,a),c)) )],[refute_0_11360,refute_0_11367]) ).

cnf(refute_0_11369,plain,
    ( difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != product(product(b,a),c)
    | difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != product(product(c,b),a)
    | product(product(b,a),c) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),product(product(c,b),a)) ),[0],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_11370,plain,
    ( difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != product(product(c,b),a)
    | product(product(b,a),c) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),product(product(b,a),c)) )],[refute_0_11368,refute_0_11369]) ).

cnf(refute_0_11371,plain,
    ( product(product(b,a),c) != product(product(c,b),a)
    | product(product(c,b),a) != product(c,product(c,a))
    | product(product(b,a),c) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,a),c),product(c,product(c,a))) ),[0],$fot(product(product(c,b),a))]]) ).

cnf(refute_0_11372,plain,
    ( product(product(b,a),c) != product(product(c,b),a)
    | product(product(b,a),c) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_11371]) ).

cnf(refute_0_11373,plain,
    ( difference(product(a,product(b,a)),product(c,bigC(a,a,b))) != product(product(c,b),a)
    | product(product(b,a),c) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(product(c,b),a)) )],[refute_0_11370,refute_0_11372]) ).

cnf(refute_0_11374,plain,
    product(product(b,a),c) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,bigC(a,a,b))),product(product(c,b),a)) )],[refute_0_11226,refute_0_11373]) ).

cnf(refute_0_11375,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_11376,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_11374,refute_0_11375]) ).

cnf(refute_0_11377,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_11192,refute_0_11376]) ).

cnf(refute_0_11378,plain,
    bigC(product(b,a),c,C) = product(product(product(b,a),c),product(C,product(b,a))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(b,a))),bind(B,$fot(c))]]) ).

cnf(refute_0_11379,plain,
    ( bigC(product(b,a),c,C) != product(product(product(b,a),c),product(C,product(b,a)))
    | product(product(b,a),c) != product(c,product(c,a))
    | bigC(product(b,a),c,C) = product(product(c,product(c,a)),product(C,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,C),product(product(product(b,a),c),product(C,product(b,a)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_11380,plain,
    ( bigC(product(b,a),c,C) != product(product(product(b,a),c),product(C,product(b,a)))
    | bigC(product(b,a),c,C) = product(product(c,product(c,a)),product(C,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_11374,refute_0_11379]) ).

cnf(refute_0_11381,plain,
    bigC(product(b,a),c,C) = product(product(c,product(c,a)),product(C,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,C),product(product(product(b,a),c),product(C,product(b,a)))) )],[refute_0_11378,refute_0_11380]) ).

cnf(refute_0_11382,plain,
    product(product(c,C),product(c,product(c,a))) = product(c,product(C,product(c,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(C)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_11383,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_11384,plain,
    ( product(product(c,C),product(product(c,b),a)) != product(product(c,C),product(product(c,b),a))
    | product(product(c,b),a) != product(c,product(c,a))
    | product(product(c,C),product(product(c,b),a)) = product(product(c,C),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,C),product(product(c,b),a)),product(product(c,C),product(product(c,b),a))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_11385,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(c,C),product(product(c,b),a)) = product(product(c,C),product(c,product(c,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_11383,refute_0_11384]) ).

cnf(refute_0_11386,plain,
    product(product(c,C),product(product(c,b),a)) = product(product(c,C),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_11385]) ).

cnf(refute_0_11387,plain,
    ( product(product(c,C),product(c,product(c,a))) != product(c,product(C,product(c,a)))
    | product(product(c,C),product(product(c,b),a)) != product(product(c,C),product(c,product(c,a)))
    | product(product(c,C),product(product(c,b),a)) = product(c,product(C,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,C),product(product(c,b),a)))),bind(Y,$fot(product(product(c,C),product(c,product(c,a))))),bind(Z,$fot(product(c,product(C,product(c,a)))))]]) ).

cnf(refute_0_11388,plain,
    ( product(product(c,C),product(c,product(c,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(product(c,C),product(c,product(c,a)))) )],[refute_0_11386,refute_0_11387]) ).

cnf(refute_0_11389,plain,
    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(c,product(c,a))),product(c,product(C,product(c,a)))) )],[refute_0_11382,refute_0_11388]) ).

cnf(refute_0_11390,plain,
    product(product(c,product(c,a)),product(C,product(b,a))) = product(product(c,C),product(product(c,b),a)),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(c)),bind(X_96,$fot(c)),bind(X_97,$fot(b)),bind(X_98,$fot(a))]]) ).

cnf(refute_0_11391,plain,
    ( product(product(c,C),product(product(c,b),a)) != product(c,product(C,product(c,a)))
    | product(product(c,product(c,a)),product(C,product(b,a))) != product(product(c,C),product(product(c,b),a))
    | product(product(c,product(c,a)),product(C,product(b,a))) = product(c,product(C,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,a)),product(C,product(b,a))))),bind(Y,$fot(product(product(c,C),product(product(c,b),a)))),bind(Z,$fot(product(c,product(C,product(c,a)))))]]) ).

cnf(refute_0_11392,plain,
    ( product(product(c,C),product(product(c,b),a)) != product(c,product(C,product(c,a)))
    | product(product(c,product(c,a)),product(C,product(b,a))) = product(c,product(C,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(C,product(b,a))),product(product(c,C),product(product(c,b),a))) )],[refute_0_11390,refute_0_11391]) ).

cnf(refute_0_11393,plain,
    product(product(c,product(c,a)),product(C,product(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(C,product(c,a)))) )],[refute_0_11389,refute_0_11392]) ).

cnf(refute_0_11394,plain,
    ( bigC(product(b,a),c,C) != product(product(c,product(c,a)),product(C,product(b,a)))
    | product(product(c,product(c,a)),product(C,product(b,a))) != product(c,product(C,product(c,a)))
    | bigC(product(b,a),c,C) = product(c,product(C,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),c,C),product(c,product(C,product(c,a)))) ),[0],$fot(product(product(c,product(c,a)),product(C,product(b,a))))]]) ).

cnf(refute_0_11395,plain,
    ( bigC(product(b,a),c,C) != product(product(c,product(c,a)),product(C,product(b,a)))
    | bigC(product(b,a),c,C) = product(c,product(C,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(C,product(b,a))),product(c,product(C,product(c,a)))) )],[refute_0_11393,refute_0_11394]) ).

cnf(refute_0_11396,plain,
    bigC(product(b,a),c,C) = product(c,product(C,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,C),product(product(c,product(c,a)),product(C,product(b,a)))) )],[refute_0_11381,refute_0_11395]) ).

cnf(refute_0_11397,plain,
    ( bigC(product(b,a),c,C) != product(c,product(C,product(c,a)))
    | product(c,product(C,product(c,a))) = bigC(product(b,a),c,C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(b,a),c,C))),bind(Y,$fot(product(c,product(C,product(c,a)))))]]) ).

cnf(refute_0_11398,plain,
    product(c,product(C,product(c,a))) = bigC(product(b,a),c,C),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,C),product(c,product(C,product(c,a)))) )],[refute_0_11396,refute_0_11397]) ).

cnf(refute_0_11399,plain,
    product(c,product(B,product(c,a))) = bigC(product(b,a),c,B),
    inference(subst,[],[refute_0_11398:[bind(C,$fot(B))]]) ).

cnf(refute_0_11400,plain,
    product(product(c,B),product(c,product(c,a))) = product(c,product(B,product(c,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(B)),bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_11401,plain,
    ( product(c,product(B,product(c,a))) != bigC(product(b,a),c,B)
    | 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))) = bigC(product(b,a),c,B) ),
    inference(subst,[],[refute_0_32:[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(bigC(product(b,a),c,B)))]]) ).

cnf(refute_0_11402,plain,
    ( product(c,product(B,product(c,a))) != bigC(product(b,a),c,B)
    | product(product(c,B),product(c,product(c,a))) = bigC(product(b,a),c,B) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,product(c,a))),product(c,product(B,product(c,a)))) )],[refute_0_11400,refute_0_11401]) ).

cnf(refute_0_11403,plain,
    product(product(c,B),product(c,product(c,a))) = bigC(product(b,a),c,B),
    inference(resolve,[$cnf( $equal(product(c,product(B,product(c,a))),bigC(product(b,a),c,B)) )],[refute_0_11399,refute_0_11402]) ).

cnf(refute_0_11404,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))) != bigC(product(b,a),c,B)
    | bigC(c,B,product(b,a)) = bigC(product(b,a),c,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(b,a)),bigC(product(b,a),c,B)) ),[0],$fot(product(product(c,B),product(c,product(c,a))))]]) ).

cnf(refute_0_11405,plain,
    ( bigC(c,B,product(b,a)) != product(product(c,B),product(c,product(c,a)))
    | bigC(c,B,product(b,a)) = bigC(product(b,a),c,B) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,product(c,a))),bigC(product(b,a),c,B)) )],[refute_0_11403,refute_0_11404]) ).

cnf(refute_0_11406,plain,
    bigC(c,B,product(b,a)) = bigC(product(b,a),c,B),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,a)),product(product(c,B),product(c,product(c,a)))) )],[refute_0_11377,refute_0_11405]) ).

cnf(refute_0_11407,plain,
    ( bigC(c,B,product(b,a)) != bigC(product(b,a),c,B)
    | bigC(product(b,a),c,B) = bigC(c,B,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,B,product(b,a)))),bind(Y,$fot(bigC(product(b,a),c,B)))]]) ).

cnf(refute_0_11408,plain,
    bigC(product(b,a),c,B) = bigC(c,B,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,a)),bigC(product(b,a),c,B)) )],[refute_0_11406,refute_0_11407]) ).

cnf(refute_0_11409,plain,
    bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = bigC(c,difference(c,product(b,product(a,c))),product(b,a)),
    inference(subst,[],[refute_0_11408:[bind(B,$fot(difference(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_11410,plain,
    ( bigC(c,difference(c,product(b,product(a,c))),product(b,a)) != product(c,product(product(b,c),a))
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) != bigC(c,difference(c,product(b,product(a,c))),product(b,a))
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,a),c,difference(c,product(b,product(a,c)))))),bind(Y,$fot(bigC(c,difference(c,product(b,product(a,c))),product(b,a)))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_11411,plain,
    ( bigC(c,difference(c,product(b,product(a,c))),product(b,a)) != product(c,product(product(b,c),a))
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,difference(c,product(b,product(a,c)))),bigC(c,difference(c,product(b,product(a,c))),product(b,a))) )],[refute_0_11409,refute_0_11410]) ).

cnf(refute_0_11412,plain,
    bigC(product(b,a),c,difference(c,product(b,product(a,c)))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,product(b,product(a,c))),product(b,a)),product(c,product(product(b,c),a))) )],[refute_0_11191,refute_0_11411]) ).

cnf(refute_0_11413,plain,
    ( bigC(product(b,a),c,difference(c,product(b,product(a,c)))) != product(c,product(product(b,c),a))
    | bigC(product(b,a),c,difference(c,product(b,product(a,c)))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(c,product(product(b,c),a)) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,difference(c,product(b,product(a,c)))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) ),[0],$fot(product(c,product(product(b,c),a)))]]) ).

cnf(refute_0_11414,plain,
    ( bigC(product(b,a),c,difference(c,product(b,product(a,c)))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(c,product(product(b,c),a)) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,difference(c,product(b,product(a,c)))),product(c,product(product(b,c),a))) )],[refute_0_11412,refute_0_11413]) ).

cnf(refute_0_11415,plain,
    product(product(b,a),product(b,product(a,c))) = product(b,product(a,product(a,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(product(a,c)))]]) ).

cnf(refute_0_11416,plain,
    product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(difference(c,product(b,product(a,c))),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,product(a,c))),product(b,product(a,c))))]]) ).

cnf(refute_0_11417,plain,
    ( difference(c,product(b,product(a,c))) != product(b,a)
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,product(a,c))),product(b,product(a,c))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_11418,plain,
    ( difference(c,product(b,product(a,c))) != product(b,a)
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,product(a,c))),product(b,product(a,c))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_11416,refute_0_11417]) ).

cnf(refute_0_11419,plain,
    product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,product(a,c))),product(b,a)) )],[refute_0_11175,refute_0_11418]) ).

cnf(refute_0_11420,plain,
    ( product(difference(c,product(b,product(a,c))),product(b,product(a,c))) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(c,product(b,product(a,c))),product(b,product(a,c))))),bind(Y,$fot(product(product(b,a),product(b,product(a,c))))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_11421,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,product(a,c))),product(b,product(a,c))),product(product(b,a),product(b,product(a,c)))) )],[refute_0_11419,refute_0_11420]) ).

cnf(refute_0_11422,plain,
    product(difference(c,product(b,product(a,c))),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_11415,refute_0_11421]) ).

cnf(refute_0_11423,plain,
    ( product(c,product(product(b,c),a)) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(difference(c,product(b,product(a,c))),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(b,c),a)),product(b,product(a,product(a,c)))) ),[0],$fot(product(difference(c,product(b,product(a,c))),product(b,product(a,c))))]]) ).

cnf(refute_0_11424,plain,
    ( product(c,product(product(b,c),a)) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,product(a,c))),product(b,product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_11422,refute_0_11423]) ).

cnf(refute_0_11425,plain,
    ( bigC(product(b,a),c,difference(c,product(b,product(a,c)))) != product(difference(c,product(b,product(a,c))),product(b,product(a,c)))
    | product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),a)),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_11414,refute_0_11424]) ).

cnf(refute_0_11426,plain,
    product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,difference(c,product(b,product(a,c)))),product(difference(c,product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_11178,refute_0_11425]) ).

cnf(refute_0_11427,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_11428,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_11426,refute_0_11427]) ).

cnf(refute_0_11429,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_11161,refute_0_11428]) ).

cnf(refute_0_11430,plain,
    bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(C,$fot(c))]]) ).

cnf(refute_0_11431,plain,
    product(product(bigC(c,c,product(b,product(c,a))),c),product(c,product(c,product(c,product(b,product(c,a)))))) = c,
    inference(subst,[],[refute_0_4079:[bind(B,$fot(c)),bind(X_41,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11432,plain,
    bigC(c,product(b,product(c,a)),c) = product(product(c,product(b,product(c,a))),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11433,plain,
    difference(product(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))),
    inference(subst,[],[refute_0_2084:[bind(X_18,$fot(bigC(a,a,c))),bind(X_30,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_11434,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != c
    | difference(product(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_11435,plain,
    ( difference(product(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(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_1732,refute_0_11434]) ).

cnf(refute_0_11436,plain,
    difference(product(c,bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) )],[refute_0_11433,refute_0_11435]) ).

cnf(refute_0_11437,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,b,c),c)
    | product(bigC(b,b,c),c) = product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) ),[0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_11438,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | product(bigC(b,b,c),c) = product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,b,c),c)) )],[refute_0_10229,refute_0_11437]) ).

cnf(refute_0_11439,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_11440,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_11441,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_11439,refute_0_11440]) ).

cnf(refute_0_11442,plain,
    product(product(b,b),product(c,a)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_11441]) ).

cnf(refute_0_11443,plain,
    product(c,product(product(b,b),product(c,a))) = product(c,product(product(b,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,b),product(c,a))))]]) ).

cnf(refute_0_11444,plain,
    ( product(c,product(product(b,b),product(c,a))) != product(c,product(product(b,b),product(c,a)))
    | product(product(b,b),product(c,a)) != product(b,product(c,a))
    | product(c,product(product(b,b),product(c,a))) = product(c,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,b),product(c,a))),product(c,product(product(b,b),product(c,a)))) ),[1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_11445,plain,
    ( product(product(b,b),product(c,a)) != product(b,product(c,a))
    | product(c,product(product(b,b),product(c,a))) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,b),product(c,a))),product(c,product(product(b,b),product(c,a)))) )],[refute_0_11443,refute_0_11444]) ).

cnf(refute_0_11446,plain,
    product(c,product(product(b,b),product(c,a))) = product(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,a)),product(b,product(c,a))) )],[refute_0_11442,refute_0_11445]) ).

cnf(refute_0_11447,plain,
    ( product(c,product(product(A,C),product(c,a))) != product(c,product(product(A,c),product(C,a)))
    | product(c,product(product(A,c),product(C,a))) = product(c,product(product(A,C),product(c,a))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(A,C),product(c,a))))),bind(Y,$fot(product(c,product(product(A,c),product(C,a)))))]]) ).

cnf(refute_0_11448,plain,
    product(c,product(product(A,c),product(C,a))) = product(c,product(product(A,C),product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(A,C),product(c,a))),product(c,product(product(A,c),product(C,a)))) )],[refute_0_3719,refute_0_11447]) ).

cnf(refute_0_11449,plain,
    product(c,product(product(b,c),product(b,a))) = product(c,product(product(b,b),product(c,a))),
    inference(subst,[],[refute_0_11448:[bind(A,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_11450,plain,
    ( product(c,product(product(b,b),product(c,a))) != product(c,product(b,product(c,a)))
    | product(c,product(product(b,c),product(b,a))) != product(c,product(product(b,b),product(c,a)))
    | product(c,product(product(b,c),product(b,a))) = product(c,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(b,c),product(b,a))))),bind(Y,$fot(product(c,product(product(b,b),product(c,a))))),bind(Z,$fot(product(c,product(b,product(c,a)))))]]) ).

cnf(refute_0_11451,plain,
    ( product(c,product(product(b,b),product(c,a))) != product(c,product(b,product(c,a)))
    | product(c,product(product(b,c),product(b,a))) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),product(b,a))),product(c,product(product(b,b),product(c,a)))) )],[refute_0_11449,refute_0_11450]) ).

cnf(refute_0_11452,plain,
    product(c,product(product(b,c),product(b,a))) = product(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,b),product(c,a))),product(c,product(b,product(c,a)))) )],[refute_0_11446,refute_0_11451]) ).

cnf(refute_0_11453,plain,
    product(bigC(b,a,b),product(c,product(b,a))) = product(c,product(product(b,c),product(b,a))),
    inference(subst,[],[refute_0_7903:[bind(X_67,$fot(product(b,a)))]]) ).

cnf(refute_0_11454,plain,
    ( product(bigC(b,a,b),product(c,product(b,a))) != product(c,product(product(b,c),product(b,a)))
    | product(c,product(product(b,c),product(b,a))) != product(c,product(b,product(c,a)))
    | product(bigC(b,a,b),product(c,product(b,a))) = product(c,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(c,product(b,a))))),bind(Y,$fot(product(c,product(product(b,c),product(b,a))))),bind(Z,$fot(product(c,product(b,product(c,a)))))]]) ).

cnf(refute_0_11455,plain,
    ( product(c,product(product(b,c),product(b,a))) != product(c,product(b,product(c,a)))
    | product(bigC(b,a,b),product(c,product(b,a))) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(b,a))),product(c,product(product(b,c),product(b,a)))) )],[refute_0_11453,refute_0_11454]) ).

cnf(refute_0_11456,plain,
    product(bigC(b,a,b),product(c,product(b,a))) = product(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),product(b,a))),product(c,product(b,product(c,a)))) )],[refute_0_11452,refute_0_11455]) ).

cnf(refute_0_11457,plain,
    product(c,product(product(b,c),product(c,a))) = product(c,product(product(b,c),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_11458,plain,
    ( product(c,product(product(b,c),product(c,a))) != product(c,product(product(b,c),product(c,a)))
    | product(product(b,c),product(c,a)) != product(b,a)
    | product(c,product(product(b,c),product(c,a))) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),product(c,a))),product(c,product(product(b,c),product(c,a)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_11459,plain,
    ( product(product(b,c),product(c,a)) != product(b,a)
    | product(c,product(product(b,c),product(c,a))) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),product(c,a))),product(c,product(product(b,c),product(c,a)))) )],[refute_0_11457,refute_0_11458]) ).

cnf(refute_0_11460,plain,
    product(c,product(product(b,c),product(c,a))) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,a)),product(b,a)) )],[refute_0_5559,refute_0_11459]) ).

cnf(refute_0_11461,plain,
    product(bigC(b,a,b),product(c,product(c,a))) = product(c,product(product(b,c),product(c,a))),
    inference(subst,[],[refute_0_7903:[bind(X_67,$fot(product(c,a)))]]) ).

cnf(refute_0_11462,plain,
    ( product(bigC(b,a,b),product(c,product(c,a))) != product(c,product(product(b,c),product(c,a)))
    | product(c,product(product(b,c),product(c,a))) != product(c,product(b,a))
    | product(bigC(b,a,b),product(c,product(c,a))) = product(c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(c,product(c,a))))),bind(Y,$fot(product(c,product(product(b,c),product(c,a))))),bind(Z,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_11463,plain,
    ( product(c,product(product(b,c),product(c,a))) != product(c,product(b,a))
    | product(bigC(b,a,b),product(c,product(c,a))) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(c,a))),product(c,product(product(b,c),product(c,a)))) )],[refute_0_11461,refute_0_11462]) ).

cnf(refute_0_11464,plain,
    product(bigC(b,a,b),product(c,product(c,a))) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),product(c,a))),product(c,product(b,a))) )],[refute_0_11460,refute_0_11463]) ).

cnf(refute_0_11465,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_11466,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | 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),product(c,product(c,a))) ),
    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(product(c,product(c,a)))]]) ).

cnf(refute_0_11467,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != product(c,product(c,a))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),product(c,product(c,a))) ),
    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_11465,refute_0_11466]) ).

cnf(refute_0_11468,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_1612,refute_0_11467]) ).

cnf(refute_0_11469,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(b,a,b),product(c,product(c,a)))
    | product(bigC(b,a,b),product(c,product(c,a))) != product(c,product(b,a))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))),bind(Y,$fot(product(bigC(b,a,b),product(c,product(c,a))))),bind(Z,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_11470,plain,
    ( product(bigC(b,a,b),product(c,product(c,a))) != product(c,product(b,a))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),product(c,product(c,a)))) )],[refute_0_11468,refute_0_11469]) ).

cnf(refute_0_11471,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(c,a))),product(c,product(b,a))) )],[refute_0_11464,refute_0_11470]) ).

cnf(refute_0_11472,plain,
    product(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),product(bigC(b,a,b),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_11473,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) != product(c,product(b,a))
    | product(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),product(bigC(b,a,b),bigC(a,a,c))))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(bigC(b,a,b),product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) ),[1,1],$fot(product(c,product(b,a)))]]) ).

cnf(refute_0_11474,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) != product(c,product(b,a))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(bigC(b,a,b),product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(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),product(bigC(b,a,b),bigC(a,a,c))))) )],[refute_0_11472,refute_0_11473]) ).

cnf(refute_0_11475,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(bigC(b,a,b),product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),product(c,product(b,a))) )],[refute_0_11471,refute_0_11474]) ).

cnf(refute_0_11476,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) != product(bigC(b,a,b),product(c,product(b,a)))
    | product(bigC(b,a,b),product(c,product(b,a))) != product(c,product(b,product(c,a)))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(c,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))))),bind(Y,$fot(product(bigC(b,a,b),product(c,product(b,a))))),bind(Z,$fot(product(c,product(b,product(c,a)))))]]) ).

cnf(refute_0_11477,plain,
    ( product(bigC(b,a,b),product(c,product(b,a))) != product(c,product(b,product(c,a)))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))),product(bigC(b,a,b),product(c,product(b,a)))) )],[refute_0_11475,refute_0_11476]) ).

cnf(refute_0_11478,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) = product(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(b,a))),product(c,product(b,product(c,a)))) )],[refute_0_11456,refute_0_11477]) ).

cnf(refute_0_11479,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) != product(c,product(b,product(c,a)))
    | product(bigC(b,b,c),c) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | product(bigC(b,b,c),c) = product(c,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),c),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) ),[1],$fot(product(c,product(b,product(c,a))))]]) ).

cnf(refute_0_11480,plain,
    ( product(bigC(b,b,c),c) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | product(bigC(b,b,c),c) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))),product(c,product(b,product(c,a)))) )],[refute_0_11478,refute_0_11479]) ).

cnf(refute_0_11481,plain,
    ( difference(product(c,bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))
    | product(bigC(b,b,c),c) = product(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) )],[refute_0_11438,refute_0_11480]) ).

cnf(refute_0_11482,plain,
    product(bigC(b,b,c),c) = product(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))) )],[refute_0_11436,refute_0_11481]) ).

cnf(refute_0_11483,plain,
    ( product(bigC(b,b,c),c) != product(c,product(b,product(c,a)))
    | product(c,product(b,product(c,a))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(product(c,product(b,product(c,a)))))]]) ).

cnf(refute_0_11484,plain,
    product(c,product(b,product(c,a))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(c,product(b,product(c,a)))) )],[refute_0_11482,refute_0_11483]) ).

cnf(refute_0_11485,plain,
    ( bigC(c,product(b,product(c,a)),c) != product(product(c,product(b,product(c,a))),c)
    | product(c,product(b,product(c,a))) != product(bigC(b,b,c),c)
    | bigC(c,product(b,product(c,a)),c) = product(product(bigC(b,b,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,product(c,a)),c),product(product(c,product(b,product(c,a))),c)) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_11486,plain,
    ( bigC(c,product(b,product(c,a)),c) != product(product(c,product(b,product(c,a))),c)
    | bigC(c,product(b,product(c,a)),c) = product(product(bigC(b,b,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,a))),product(bigC(b,b,c),c)) )],[refute_0_11484,refute_0_11485]) ).

cnf(refute_0_11487,plain,
    bigC(c,product(b,product(c,a)),c) = product(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,product(c,a)),c),product(product(c,product(b,product(c,a))),c)) )],[refute_0_11432,refute_0_11486]) ).

cnf(refute_0_11488,plain,
    bigC(c,product(b,product(c,a)),c) = bigC(c,c,product(b,product(c,a))),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11489,plain,
    ( bigC(c,product(b,product(c,a)),c) != bigC(c,c,product(b,product(c,a)))
    | bigC(c,product(b,product(c,a)),c) != product(product(bigC(b,b,c),c),c)
    | bigC(c,c,product(b,product(c,a))) = product(product(bigC(b,b,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,product(c,a)),c),product(product(bigC(b,b,c),c),c)) ),[0],$fot(bigC(c,c,product(b,product(c,a))))]]) ).

cnf(refute_0_11490,plain,
    ( bigC(c,product(b,product(c,a)),c) != product(product(bigC(b,b,c),c),c)
    | bigC(c,c,product(b,product(c,a))) = product(product(bigC(b,b,c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,product(c,a)),c),bigC(c,c,product(b,product(c,a)))) )],[refute_0_11488,refute_0_11489]) ).

cnf(refute_0_11491,plain,
    bigC(c,c,product(b,product(c,a))) = product(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,product(c,a)),c),product(product(bigC(b,b,c),c),c)) )],[refute_0_11487,refute_0_11490]) ).

cnf(refute_0_11492,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | product(product(bigC(c,c,product(b,product(c,a))),c),product(c,product(c,product(c,product(b,product(c,a)))))) != c
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,product(b,product(c,a))),c),product(c,product(c,product(c,product(b,product(c,a)))))),c) ),[0,0,0],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_11493,plain,
    ( product(product(bigC(c,c,product(b,product(c,a))),c),product(c,product(c,product(c,product(b,product(c,a)))))) != c
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(product(bigC(b,b,c),c),c)) )],[refute_0_11491,refute_0_11492]) ).

cnf(refute_0_11494,plain,
    product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = c,
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(b,product(c,a))),c),product(c,product(c,product(c,product(b,product(c,a)))))),c) )],[refute_0_11431,refute_0_11493]) ).

cnf(refute_0_11495,plain,
    bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) = bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)))]]) ).

cnf(refute_0_11496,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) != bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_11497,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))) )],[refute_0_11495,refute_0_11496]) ).

cnf(refute_0_11498,plain,
    bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_11497]) ).

cnf(refute_0_11499,plain,
    product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(b)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_11500,plain,
    product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,c),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(X_105,c))),bind(X_25,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_11501,plain,
    product(product(X_105,product(c,b)),a) = product(product(X_105,c),bigC(a,a,c)),
    inference(subst,[],[refute_0_9271:[bind(X_96,$fot(X_105))]]) ).

cnf(refute_0_11502,plain,
    ( product(product(X_105,product(c,b)),a) != product(product(X_105,c),bigC(a,a,c))
    | product(product(X_105,c),bigC(a,a,c)) = product(product(X_105,product(c,b)),a) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_105,product(c,b)),a))),bind(Y,$fot(product(product(X_105,c),bigC(a,a,c))))]]) ).

cnf(refute_0_11503,plain,
    product(product(X_105,c),bigC(a,a,c)) = product(product(X_105,product(c,b)),a),
    inference(resolve,[$cnf( $equal(product(product(X_105,product(c,b)),a),product(product(X_105,c),bigC(a,a,c))) )],[refute_0_11501,refute_0_11502]) ).

cnf(refute_0_11504,plain,
    ( product(product(X_105,c),bigC(a,a,c)) != product(product(X_105,product(c,b)),a)
    | product(product(X_105,c),product(bigC(a,a,c),X_26)) != product(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,c),X_26))
    | product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_105,c),product(bigC(a,a,c),X_26)),product(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,c),X_26))) ),[1,0],$fot(product(product(X_105,product(c,b)),a))]]) ).

cnf(refute_0_11505,plain,
    ( product(product(X_105,c),product(bigC(a,a,c),X_26)) != product(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,c),X_26))
    | product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,product(c,b)),a)) )],[refute_0_11503,refute_0_11504]) ).

cnf(refute_0_11506,plain,
    product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_105,c),product(bigC(a,a,c),X_26)),product(product(product(X_105,c),bigC(a,a,c)),product(product(X_105,c),X_26))) )],[refute_0_11500,refute_0_11505]) ).

cnf(refute_0_11507,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_32:[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_11508,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_1037,refute_0_11507]) ).

cnf(refute_0_11509,plain,
    product(product(c,b),c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_11508]) ).

cnf(refute_0_11510,plain,
    product(product(product(c,b),c),X_26) = product(product(product(c,b),c),X_26),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),c),X_26))]]) ).

cnf(refute_0_11511,plain,
    ( product(product(c,b),c) != bigC(b,a,b)
    | product(product(product(c,b),c),X_26) != product(product(product(c,b),c),X_26)
    | product(product(product(c,b),c),X_26) = product(bigC(b,a,b),X_26) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),c),X_26),product(product(product(c,b),c),X_26)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11512,plain,
    ( product(product(c,b),c) != bigC(b,a,b)
    | product(product(product(c,b),c),X_26) = product(bigC(b,a,b),X_26) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),c),X_26),product(product(product(c,b),c),X_26)) )],[refute_0_11510,refute_0_11511]) ).

cnf(refute_0_11513,plain,
    product(product(product(c,b),c),X_26) = product(bigC(b,a,b),X_26),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(b,a,b)) )],[refute_0_11509,refute_0_11512]) ).

cnf(refute_0_11514,plain,
    product(product(X_105,a),product(product(product(c,b),c),X_26)) = product(product(X_105,a),product(product(product(c,b),c),X_26)),
    introduced(tautology,[refl,[$fot(product(product(X_105,a),product(product(product(c,b),c),X_26)))]]) ).

cnf(refute_0_11515,plain,
    ( product(product(X_105,a),product(product(product(c,b),c),X_26)) != product(product(X_105,a),product(product(product(c,b),c),X_26))
    | product(product(product(c,b),c),X_26) != product(bigC(b,a,b),X_26)
    | product(product(X_105,a),product(product(product(c,b),c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_105,a),product(product(product(c,b),c),X_26)),product(product(X_105,a),product(product(product(c,b),c),X_26))) ),[1,1],$fot(product(bigC(b,a,b),X_26))]]) ).

cnf(refute_0_11516,plain,
    ( product(product(product(c,b),c),X_26) != product(bigC(b,a,b),X_26)
    | product(product(X_105,a),product(product(product(c,b),c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_105,a),product(product(product(c,b),c),X_26)),product(product(X_105,a),product(product(product(c,b),c),X_26))) )],[refute_0_11514,refute_0_11515]) ).

cnf(refute_0_11517,plain,
    product(product(X_105,a),product(product(product(c,b),c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),c),X_26),product(bigC(b,a,b),X_26)) )],[refute_0_11513,refute_0_11516]) ).

cnf(refute_0_11518,plain,
    product(product(X_105,product(product(c,b),c)),product(a,X_26)) = product(product(X_105,a),product(product(product(c,b),c),X_26)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_105)),bind(B,$fot(a)),bind(C,$fot(product(product(c,b),c))),bind(D,$fot(X_26))]]) ).

cnf(refute_0_11519,plain,
    product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,product(product(c,b),c)),product(a,X_26)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(a)),bind(D,$fot(X_26)),bind(X_65,$fot(X_105)),bind(X_66,$fot(product(c,b))),bind(X_67,$fot(c))]]) ).

cnf(refute_0_11520,plain,
    ( product(product(X_105,product(product(c,b),c)),product(a,X_26)) != product(product(X_105,a),product(product(product(c,b),c),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) != product(product(X_105,product(product(c,b),c)),product(a,X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(product(product(c,b),c),X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)))),bind(Y,$fot(product(product(X_105,product(product(c,b),c)),product(a,X_26)))),bind(Z,$fot(product(product(X_105,a),product(product(product(c,b),c),X_26))))]]) ).

cnf(refute_0_11521,plain,
    ( product(product(X_105,product(product(c,b),c)),product(a,X_26)) != product(product(X_105,a),product(product(product(c,b),c),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(product(product(c,b),c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)),product(product(X_105,product(product(c,b),c)),product(a,X_26))) )],[refute_0_11519,refute_0_11520]) ).

cnf(refute_0_11522,plain,
    product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(product(product(c,b),c),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_105,product(product(c,b),c)),product(a,X_26)),product(product(X_105,a),product(product(product(c,b),c),X_26))) )],[refute_0_11518,refute_0_11521]) ).

cnf(refute_0_11523,plain,
    ( product(product(X_105,a),product(product(product(c,b),c),X_26)) != product(product(X_105,a),product(bigC(b,a,b),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) != product(product(X_105,a),product(product(product(c,b),c),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)))),bind(Y,$fot(product(product(X_105,a),product(product(product(c,b),c),X_26)))),bind(Z,$fot(product(product(X_105,a),product(bigC(b,a,b),X_26))))]]) ).

cnf(refute_0_11524,plain,
    ( product(product(X_105,a),product(product(product(c,b),c),X_26)) != product(product(X_105,a),product(bigC(b,a,b),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)),product(product(X_105,a),product(product(product(c,b),c),X_26))) )],[refute_0_11522,refute_0_11523]) ).

cnf(refute_0_11525,plain,
    product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_105,a),product(product(product(c,b),c),X_26)),product(product(X_105,a),product(bigC(b,a,b),X_26))) )],[refute_0_11517,refute_0_11524]) ).

cnf(refute_0_11526,plain,
    ( product(product(X_105,c),product(bigC(a,a,c),X_26)) != product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26))
    | product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)) != product(product(X_105,a),product(bigC(b,a,b),X_26))
    | product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_105,c),product(bigC(a,a,c),X_26)),product(product(X_105,a),product(bigC(b,a,b),X_26))) ),[0],$fot(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)))]]) ).

cnf(refute_0_11527,plain,
    ( product(product(X_105,c),product(bigC(a,a,c),X_26)) != product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26))
    | product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26)),product(product(X_105,a),product(bigC(b,a,b),X_26))) )],[refute_0_11525,refute_0_11526]) ).

cnf(refute_0_11528,plain,
    product(product(X_105,c),product(bigC(a,a,c),X_26)) = product(product(X_105,a),product(bigC(b,a,b),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_105,c),product(bigC(a,a,c),X_26)),product(product(product(X_105,product(c,b)),a),product(product(X_105,c),X_26))) )],[refute_0_11506,refute_0_11527]) ).

cnf(refute_0_11529,plain,
    product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))),
    inference(subst,[],[refute_0_11528:[bind(X_105,$fot(c)),bind(X_26,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11530,plain,
    ( product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))) != bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) != product(product(c,a),product(bigC(b,a,b),product(b,product(c,a))))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))),bind(Y,$fot(product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))))),bind(Z,$fot(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))))]]) ).

cnf(refute_0_11531,plain,
    ( product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))) != bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))),product(product(c,a),product(bigC(b,a,b),product(b,product(c,a))))) )],[refute_0_11529,refute_0_11530]) ).

cnf(refute_0_11532,plain,
    product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(b,a,b),product(b,product(c,a)))),bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))) )],[refute_0_11499,refute_0_11531]) ).

cnf(refute_0_11533,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) != bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))),bind(Y,$fot(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)))),bind(Z,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11534,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))),bigC(product(c,a),bigC(b,a,b),product(product(c,a),b))) )],[refute_0_11532,refute_0_11533]) ).

cnf(refute_0_11535,plain,
    product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(product(c,a),b)),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11498,refute_0_11534]) ).

cnf(refute_0_11536,plain,
    product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) = product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))))]]) ).

cnf(refute_0_11537,plain,
    ( product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) != product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))
    | product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))),product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))) ),[1,1],$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_11538,plain,
    ( product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))),product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))) )],[refute_0_11536,refute_0_11537]) ).

cnf(refute_0_11539,plain,
    product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11535,refute_0_11538]) ).

cnf(refute_0_11540,plain,
    product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) = product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(product(b,product(c,a)))),bind(X_65,$fot(c))]]) ).

cnf(refute_0_11541,plain,
    ( product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) != product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))
    | product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))),bind(Y,$fot(product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))))),bind(Z,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11542,plain,
    ( product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))),product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a)))))) )],[refute_0_11540,refute_0_11541]) ).

cnf(refute_0_11543,plain,
    product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,c),product(bigC(a,a,c),product(b,product(c,a))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11539,refute_0_11542]) ).

cnf(refute_0_11544,plain,
    product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),
    introduced(tautology,[refl,[$fot(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))))]]) ).

cnf(refute_0_11545,plain,
    ( product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) ),[1,1],$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11546,plain,
    ( product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) )],[refute_0_11544,refute_0_11545]) ).

cnf(refute_0_11547,plain,
    product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11543,refute_0_11546]) ).

cnf(refute_0_11548,plain,
    product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))]]) ).

cnf(refute_0_11549,plain,
    product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) = product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(C,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,bigC(a,a,c)))),bind(X_67,$fot(product(c,product(b,product(c,a)))))]]) ).

cnf(refute_0_11550,plain,
    ( product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) != product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))))),bind(Y,$fot(product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))))),bind(Z,$fot(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))))]]) ).

cnf(refute_0_11551,plain,
    ( product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))),product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) )],[refute_0_11549,refute_0_11550]) ).

cnf(refute_0_11552,plain,
    product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) )],[refute_0_11548,refute_0_11551]) ).

cnf(refute_0_11553,plain,
    product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) = product(product(product(product(bigC(b,b,c),c),c),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(product(bigC(b,b,c),c),c))),bind(C,$fot(c))]]) ).

cnf(refute_0_11554,plain,
    bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(c)),bind(X_22,$fot(bigC(c,c,bigC(b,b,c))))]]) ).

cnf(refute_0_11555,plain,
    quotient(c,product(c,product(c,product(b,product(c,a))))) = product(product(product(b,product(c,a)),c),c),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(product(b,product(c,a)))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_11556,plain,
    ( product(c,product(b,product(c,a))) != product(bigC(b,b,c),c)
    | quotient(c,product(c,product(c,product(b,product(c,a))))) != product(product(product(b,product(c,a)),c),c)
    | quotient(c,product(c,product(bigC(b,b,c),c))) = product(product(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(b,product(c,a))))),product(product(product(b,product(c,a)),c),c)) ),[0,1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_11557,plain,
    ( quotient(c,product(c,product(c,product(b,product(c,a))))) != product(product(product(b,product(c,a)),c),c)
    | quotient(c,product(c,product(bigC(b,b,c),c))) = product(product(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,a))),product(bigC(b,b,c),c)) )],[refute_0_11484,refute_0_11556]) ).

cnf(refute_0_11558,plain,
    quotient(c,product(c,product(bigC(b,b,c),c))) = product(product(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(b,product(c,a))))),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11555,refute_0_11557]) ).

cnf(refute_0_11559,plain,
    product(c,product(bigC(b,b,c),c)) = bigC(c,c,bigC(b,b,c)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_11560,plain,
    quotient(c,product(c,product(bigC(b,b,c),c))) = quotient(c,product(c,product(bigC(b,b,c),c))),
    introduced(tautology,[refl,[$fot(quotient(c,product(c,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_11561,plain,
    ( product(c,product(bigC(b,b,c),c)) != bigC(c,c,bigC(b,b,c))
    | quotient(c,product(c,product(bigC(b,b,c),c))) != quotient(c,product(c,product(bigC(b,b,c),c)))
    | quotient(c,product(c,product(bigC(b,b,c),c))) = quotient(c,bigC(c,c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(bigC(b,b,c),c))),quotient(c,product(c,product(bigC(b,b,c),c)))) ),[1,1],$fot(bigC(c,c,bigC(b,b,c)))]]) ).

cnf(refute_0_11562,plain,
    ( product(c,product(bigC(b,b,c),c)) != bigC(c,c,bigC(b,b,c))
    | quotient(c,product(c,product(bigC(b,b,c),c))) = quotient(c,bigC(c,c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(bigC(b,b,c),c))),quotient(c,product(c,product(bigC(b,b,c),c)))) )],[refute_0_11560,refute_0_11561]) ).

cnf(refute_0_11563,plain,
    quotient(c,product(c,product(bigC(b,b,c),c))) = quotient(c,bigC(c,c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,b,c),c)),bigC(c,c,bigC(b,b,c))) )],[refute_0_11559,refute_0_11562]) ).

cnf(refute_0_11564,plain,
    ( quotient(c,product(c,product(bigC(b,b,c),c))) != product(product(product(b,product(c,a)),c),c)
    | quotient(c,product(c,product(bigC(b,b,c),c))) != quotient(c,bigC(c,c,bigC(b,b,c)))
    | quotient(c,bigC(c,c,bigC(b,b,c))) = product(product(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(bigC(b,b,c),c))),product(product(product(b,product(c,a)),c),c)) ),[0],$fot(quotient(c,bigC(c,c,bigC(b,b,c))))]]) ).

cnf(refute_0_11565,plain,
    ( quotient(c,product(c,product(bigC(b,b,c),c))) != product(product(product(b,product(c,a)),c),c)
    | quotient(c,bigC(c,c,bigC(b,b,c))) = product(product(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(bigC(b,b,c),c))),quotient(c,bigC(c,c,bigC(b,b,c)))) )],[refute_0_11563,refute_0_11564]) ).

cnf(refute_0_11566,plain,
    quotient(c,bigC(c,c,bigC(b,b,c))) = product(product(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(bigC(b,b,c),c))),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11558,refute_0_11565]) ).

cnf(refute_0_11567,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | quotient(c,bigC(c,c,bigC(b,b,c))) != product(product(product(b,product(c,a)),c),c)
    | bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) ),[0,2],$fot(product(product(product(b,product(c,a)),c),c))]]) ).

cnf(refute_0_11568,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,b,c))),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11566,refute_0_11567]) ).

cnf(refute_0_11569,plain,
    bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) )],[refute_0_11554,refute_0_11568]) ).

cnf(refute_0_11570,plain,
    product(product(product(c,a),c),product(c,a)) = product(bigC(c,a,c),product(c,a)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_11571,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,c,a))
    | product(product(product(c,a),c),product(c,a)) != product(bigC(c,a,c),product(c,a))
    | product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),c),product(c,a)))),bind(Y,$fot(product(bigC(c,a,c),product(c,a)))),bind(Z,$fot(product(c,bigC(a,c,a))))]]) ).

cnf(refute_0_11572,plain,
    ( product(bigC(c,a,c),product(c,a)) != product(c,bigC(a,c,a))
    | product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),c),product(c,a)),product(bigC(c,a,c),product(c,a))) )],[refute_0_11570,refute_0_11571]) ).

cnf(refute_0_11573,plain,
    product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,a)),product(c,bigC(a,c,a))) )],[refute_0_2015,refute_0_11572]) ).

cnf(refute_0_11574,plain,
    ( product(c,bigC(a,c,a)) != product(c,bigC(a,a,c))
    | product(product(product(c,a),c),product(c,a)) != product(c,bigC(a,c,a))
    | product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),c),product(c,a)))),bind(Y,$fot(product(c,bigC(a,c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11575,plain,
    ( product(c,bigC(a,c,a)) != product(c,bigC(a,a,c))
    | product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),c),product(c,a)),product(c,bigC(a,c,a))) )],[refute_0_11573,refute_0_11574]) ).

cnf(refute_0_11576,plain,
    product(product(product(c,a),c),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,a)),product(c,bigC(a,a,c))) )],[refute_0_1979,refute_0_11575]) ).

cnf(refute_0_11577,plain,
    product(c,product(product(product(c,a),c),product(c,a))) = product(c,product(product(product(c,a),c),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(c,a),c),product(c,a))))]]) ).

cnf(refute_0_11578,plain,
    ( product(c,product(product(product(c,a),c),product(c,a))) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(c,a),c),product(c,a)) != product(c,bigC(a,a,c))
    | product(c,product(product(product(c,a),c),product(c,a))) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(c,a),c),product(c,a))),product(c,product(product(product(c,a),c),product(c,a)))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_11579,plain,
    ( product(product(product(c,a),c),product(c,a)) != product(c,bigC(a,a,c))
    | product(c,product(product(product(c,a),c),product(c,a))) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,a),c),product(c,a))),product(c,product(product(product(c,a),c),product(c,a)))) )],[refute_0_11577,refute_0_11578]) ).

cnf(refute_0_11580,plain,
    product(c,product(product(product(c,a),c),product(c,a))) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),c),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_11576,refute_0_11579]) ).

cnf(refute_0_11581,plain,
    product(product(b,product(a,c)),product(product(product(c,a),c),c)) = product(c,product(product(product(c,a),c),product(c,a))),
    inference(subst,[],[refute_0_10349:[bind(X_25,$fot(product(product(c,a),c)))]]) ).

cnf(refute_0_11582,plain,
    product(product(product(b,c),product(product(c,a),c)),product(c,c)) = product(product(b,product(a,c)),product(product(product(c,a),c),c)),
    inference(subst,[],[refute_0_10372:[bind(B,$fot(product(product(c,a),c))),bind(D,$fot(c))]]) ).

cnf(refute_0_11583,plain,
    ( product(product(b,product(a,c)),product(product(product(c,a),c),c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(b,c),product(product(c,a),c)),product(c,c)) != product(product(b,product(a,c)),product(product(product(c,a),c),c))
    | product(product(product(b,c),product(product(c,a),c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(product(c,a),c)),product(c,c)))),bind(Y,$fot(product(product(b,product(a,c)),product(product(product(c,a),c),c)))),bind(Z,$fot(product(c,product(product(product(c,a),c),product(c,a)))))]]) ).

cnf(refute_0_11584,plain,
    ( product(product(b,product(a,c)),product(product(product(c,a),c),c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(b,c),product(product(c,a),c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,a),c)),product(c,c)),product(product(b,product(a,c)),product(product(product(c,a),c),c))) )],[refute_0_11582,refute_0_11583]) ).

cnf(refute_0_11585,plain,
    product(product(product(b,c),product(product(c,a),c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(product(c,a),c),c)),product(c,product(product(product(c,a),c),product(c,a)))) )],[refute_0_11581,refute_0_11584]) ).

cnf(refute_0_11586,plain,
    product(product(product(b,product(c,a)),product(c,c)),product(c,c)) = product(product(product(b,c),product(product(c,a),c)),product(c,c)),
    inference(subst,[],[refute_0_347:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(c)),bind(D,$fot(c)),bind(X_44,$fot(product(c,c)))]]) ).

cnf(refute_0_11587,plain,
    ( product(product(product(b,c),product(product(c,a),c)),product(c,c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(b,product(c,a)),product(c,c)),product(c,c)) != product(product(product(b,c),product(product(c,a),c)),product(c,c))
    | product(product(product(b,product(c,a)),product(c,c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(c,a)),product(c,c)),product(c,c)))),bind(Y,$fot(product(product(product(b,c),product(product(c,a),c)),product(c,c)))),bind(Z,$fot(product(c,product(product(product(c,a),c),product(c,a)))))]]) ).

cnf(refute_0_11588,plain,
    ( product(product(product(b,c),product(product(c,a),c)),product(c,c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(b,product(c,a)),product(c,c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,c)),product(c,c)),product(product(product(b,c),product(product(c,a),c)),product(c,c))) )],[refute_0_11586,refute_0_11587]) ).

cnf(refute_0_11589,plain,
    product(product(product(b,product(c,a)),product(c,c)),product(c,c)) = product(c,product(product(product(c,a),c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,a),c)),product(c,c)),product(c,product(product(product(c,a),c),product(c,a)))) )],[refute_0_11585,refute_0_11588]) ).

cnf(refute_0_11590,plain,
    product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(product(product(b,product(c,a)),product(c,c)),product(c,c)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(c)),bind(D,$fot(c)),bind(X_65,$fot(product(b,product(c,a)))),bind(X_66,$fot(c)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_11591,plain,
    ( product(product(product(b,product(c,a)),product(c,c)),product(c,c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(product(product(b,product(c,a)),product(c,c)),product(c,c))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(product(product(product(b,product(c,a)),product(c,c)),product(c,c)))),bind(Z,$fot(product(c,product(product(product(c,a),c),product(c,a)))))]]) ).

cnf(refute_0_11592,plain,
    ( product(product(product(b,product(c,a)),product(c,c)),product(c,c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(product(product(c,a),c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),product(c,c)),product(c,c))) )],[refute_0_11590,refute_0_11591]) ).

cnf(refute_0_11593,plain,
    product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(product(product(c,a),c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(c,c)),product(c,c)),product(c,product(product(product(c,a),c),product(c,a)))) )],[refute_0_11589,refute_0_11592]) ).

cnf(refute_0_11594,plain,
    ( product(c,product(product(product(c,a),c),product(c,a))) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(c,product(product(product(c,a),c),product(c,a)))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(product(c,product(product(product(c,a),c),product(c,a))))),bind(Z,$fot(product(c,product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11595,plain,
    ( product(c,product(product(product(c,a),c),product(c,a))) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),product(c,product(product(product(c,a),c),product(c,a)))) )],[refute_0_11593,refute_0_11594]) ).

cnf(refute_0_11596,plain,
    product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,a),c),product(c,a))),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11580,refute_0_11595]) ).

cnf(refute_0_11597,plain,
    product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))]]) ).

cnf(refute_0_11598,plain,
    ( product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))
    | quotient(c,bigC(c,c,bigC(b,b,c))) != product(product(product(b,product(c,a)),c),c)
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))),product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) ),[1,1],$fot(product(product(product(b,product(c,a)),c),c))]]) ).

cnf(refute_0_11599,plain,
    ( quotient(c,bigC(c,c,bigC(b,b,c))) != product(product(product(b,product(c,a)),c),c)
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))),product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) )],[refute_0_11597,refute_0_11598]) ).

cnf(refute_0_11600,plain,
    product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,b,c))),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11566,refute_0_11599]) ).

cnf(refute_0_11601,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c))
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))),bind(Y,$fot(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)))),bind(Z,$fot(product(c,product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11602,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))),product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c))) )],[refute_0_11600,refute_0_11601]) ).

cnf(refute_0_11603,plain,
    product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11596,refute_0_11602]) ).

cnf(refute_0_11604,plain,
    product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) = product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))))]]) ).

cnf(refute_0_11605,plain,
    ( product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) != product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))
    | product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,product(c,bigC(a,a,c)))
    | product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) = product(c,product(c,product(c,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))),product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))) ),[1,1],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11606,plain,
    ( product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,product(c,bigC(a,a,c)))
    | product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) = product(c,product(c,product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))),product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))) )],[refute_0_11604,refute_0_11605]) ).

cnf(refute_0_11607,plain,
    product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) = product(c,product(c,product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11603,refute_0_11606]) ).

cnf(refute_0_11608,plain,
    bigC(quotient(X_47,B),difference(quotient(X_47,B),X_47),X_49) = product(X_47,product(X_49,quotient(X_47,B))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(X_47)),bind(X_17,$fot(quotient(X_47,B))),bind(X_19,$fot(X_49))]]) ).

cnf(refute_0_11609,plain,
    difference(quotient(X_47,B),X_47) = B,
    inference(subst,[],[refute_0_495:[bind(X_11,$fot(X_47))]]) ).

cnf(refute_0_11610,plain,
    ( bigC(quotient(X_47,B),difference(quotient(X_47,B),X_47),X_49) != product(X_47,product(X_49,quotient(X_47,B)))
    | difference(quotient(X_47,B),X_47) != B
    | bigC(quotient(X_47,B),B,X_49) = product(X_47,product(X_49,quotient(X_47,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(X_47,B),difference(quotient(X_47,B),X_47),X_49),product(X_47,product(X_49,quotient(X_47,B)))) ),[0,1],$fot(B)]]) ).

cnf(refute_0_11611,plain,
    ( bigC(quotient(X_47,B),difference(quotient(X_47,B),X_47),X_49) != product(X_47,product(X_49,quotient(X_47,B)))
    | bigC(quotient(X_47,B),B,X_49) = product(X_47,product(X_49,quotient(X_47,B))) ),
    inference(resolve,[$cnf( $equal(difference(quotient(X_47,B),X_47),B) )],[refute_0_11609,refute_0_11610]) ).

cnf(refute_0_11612,plain,
    bigC(quotient(X_47,B),B,X_49) = product(X_47,product(X_49,quotient(X_47,B))),
    inference(resolve,[$cnf( $equal(bigC(quotient(X_47,B),difference(quotient(X_47,B),X_47),X_49),product(X_47,product(X_49,quotient(X_47,B)))) )],[refute_0_11608,refute_0_11611]) ).

cnf(refute_0_11613,plain,
    bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))),
    inference(subst,[],[refute_0_11612:[bind(B,$fot(bigC(c,c,bigC(b,b,c)))),bind(X_47,$fot(c)),bind(X_49,$fot(product(product(product(b,product(c,a)),c),c)))]]) ).

cnf(refute_0_11614,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) != product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))
    | product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) != product(c,product(c,product(c,bigC(a,a,c))))
    | bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,product(c,bigC(a,a,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))))),bind(Z,$fot(product(c,product(c,product(c,bigC(a,a,c))))))]]) ).

cnf(refute_0_11615,plain,
    ( product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))) != product(c,product(c,product(c,bigC(a,a,c))))
    | bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c)))))) )],[refute_0_11613,refute_0_11614]) ).

cnf(refute_0_11616,plain,
    bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) = product(c,product(c,product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(product(b,product(c,a)),c),c),quotient(c,bigC(c,c,bigC(b,b,c))))),product(c,product(c,product(c,bigC(a,a,c))))) )],[refute_0_11607,refute_0_11615]) ).

cnf(refute_0_11617,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) != product(c,product(c,product(c,bigC(a,a,c))))
    | bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | product(c,product(c,product(c,bigC(a,a,c)))) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) ),[0],$fot(product(c,product(c,product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11618,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | product(c,product(c,product(c,bigC(a,a,c)))) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(c,product(c,product(c,bigC(a,a,c))))) )],[refute_0_11616,refute_0_11617]) ).

cnf(refute_0_11619,plain,
    product(bigC(c,c,product(b,product(c,a))),c) = product(bigC(c,c,product(b,product(c,a))),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(b,product(c,a))),c))]]) ).

cnf(refute_0_11620,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | product(bigC(c,c,product(b,product(c,a))),c) != product(bigC(c,c,product(b,product(c,a))),c)
    | product(bigC(c,c,product(b,product(c,a))),c) = product(product(product(bigC(b,b,c),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(b,product(c,a))),c),product(bigC(c,c,product(b,product(c,a))),c)) ),[1,0],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_11621,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | product(bigC(c,c,product(b,product(c,a))),c) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(b,product(c,a))),c),product(bigC(c,c,product(b,product(c,a))),c)) )],[refute_0_11619,refute_0_11620]) ).

cnf(refute_0_11622,plain,
    product(bigC(c,c,product(b,product(c,a))),c) = product(product(product(bigC(b,b,c),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_11491,refute_0_11621]) ).

cnf(refute_0_11623,plain,
    bigC(c,c,product(product(b,product(c,a)),c)) = product(bigC(c,c,product(b,product(c,a))),c),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(c)),bind(X_36,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11624,plain,
    ( bigC(c,c,product(product(b,product(c,a)),c)) != product(bigC(c,c,product(b,product(c,a))),c)
    | product(bigC(c,c,product(b,product(c,a))),c) != product(product(product(bigC(b,b,c),c),c),c)
    | bigC(c,c,product(product(b,product(c,a)),c)) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(product(b,product(c,a)),c)))),bind(Y,$fot(product(bigC(c,c,product(b,product(c,a))),c))),bind(Z,$fot(product(product(product(bigC(b,b,c),c),c),c)))]]) ).

cnf(refute_0_11625,plain,
    ( product(bigC(c,c,product(b,product(c,a))),c) != product(product(product(bigC(b,b,c),c),c),c)
    | bigC(c,c,product(product(b,product(c,a)),c)) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,product(c,a)),c)),product(bigC(c,c,product(b,product(c,a))),c)) )],[refute_0_11623,refute_0_11624]) ).

cnf(refute_0_11626,plain,
    bigC(c,c,product(product(b,product(c,a)),c)) = product(product(product(bigC(b,b,c),c),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(b,product(c,a))),c),product(product(product(bigC(b,b,c),c),c),c)) )],[refute_0_11622,refute_0_11625]) ).

cnf(refute_0_11627,plain,
    product(c,product(product(product(b,product(c,a)),c),c)) = bigC(c,c,product(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_11628,plain,
    ( bigC(c,c,product(product(b,product(c,a)),c)) != product(product(product(bigC(b,b,c),c),c),c)
    | product(c,product(product(product(b,product(c,a)),c),c)) != bigC(c,c,product(product(b,product(c,a)),c))
    | product(c,product(product(product(b,product(c,a)),c),c)) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(bigC(c,c,product(product(b,product(c,a)),c)))),bind(Z,$fot(product(product(product(bigC(b,b,c),c),c),c)))]]) ).

cnf(refute_0_11629,plain,
    ( bigC(c,c,product(product(b,product(c,a)),c)) != product(product(product(bigC(b,b,c),c),c),c)
    | product(c,product(product(product(b,product(c,a)),c),c)) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(b,product(c,a)),c),c)),bigC(c,c,product(product(b,product(c,a)),c))) )],[refute_0_11627,refute_0_11628]) ).

cnf(refute_0_11630,plain,
    product(c,product(product(product(b,product(c,a)),c),c)) = product(product(product(bigC(b,b,c),c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,product(c,a)),c)),product(product(product(bigC(b,b,c),c),c),c)) )],[refute_0_11626,refute_0_11629]) ).

cnf(refute_0_11631,plain,
    product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))))]]) ).

cnf(refute_0_11632,plain,
    ( product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | quotient(c,bigC(c,c,bigC(b,b,c))) != product(product(product(b,product(c,a)),c),c)
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(product(product(b,product(c,a)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) ),[1,1],$fot(product(product(product(b,product(c,a)),c),c))]]) ).

cnf(refute_0_11633,plain,
    ( quotient(c,bigC(c,c,bigC(b,b,c))) != product(product(product(b,product(c,a)),c),c)
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(product(product(b,product(c,a)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) )],[refute_0_11631,refute_0_11632]) ).

cnf(refute_0_11634,plain,
    product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(c,product(product(product(b,product(c,a)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,bigC(b,b,c))),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11566,refute_0_11633]) ).

cnf(refute_0_11635,plain,
    ( product(c,product(product(product(b,product(c,a)),c),c)) != product(product(product(bigC(b,b,c),c),c),c)
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) != product(c,product(product(product(b,product(c,a)),c),c))
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))))),bind(Y,$fot(product(c,product(product(product(b,product(c,a)),c),c)))),bind(Z,$fot(product(product(product(bigC(b,b,c),c),c),c)))]]) ).

cnf(refute_0_11636,plain,
    ( product(c,product(product(product(b,product(c,a)),c),c)) != product(product(product(bigC(b,b,c),c),c),c)
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),product(c,product(product(product(b,product(c,a)),c),c))) )],[refute_0_11634,refute_0_11635]) ).

cnf(refute_0_11637,plain,
    product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) = product(product(product(bigC(b,b,c),c),c),c),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(b,product(c,a)),c),c)),product(product(product(bigC(b,b,c),c),c),c)) )],[refute_0_11630,refute_0_11636]) ).

cnf(refute_0_11638,plain,
    ( product(c,product(c,product(c,bigC(a,a,c)))) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | product(c,quotient(c,bigC(c,c,bigC(b,b,c)))) != product(product(product(bigC(b,b,c),c),c),c)
    | product(c,product(c,product(c,bigC(a,a,c)))) = product(product(product(bigC(b,b,c),c),c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,product(c,bigC(a,a,c)))),product(product(product(bigC(b,b,c),c),c),c)) ),[0],$fot(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))))]]) ).

cnf(refute_0_11639,plain,
    ( product(c,product(c,product(c,bigC(a,a,c)))) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | product(c,product(c,product(c,bigC(a,a,c)))) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,bigC(c,c,bigC(b,b,c)))),product(product(product(bigC(b,b,c),c),c),c)) )],[refute_0_11637,refute_0_11638]) ).

cnf(refute_0_11640,plain,
    ( bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)) != product(c,quotient(c,bigC(c,c,bigC(b,b,c))))
    | product(c,product(c,product(c,bigC(a,a,c)))) = product(product(product(bigC(b,b,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,bigC(a,a,c)))),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) )],[refute_0_11618,refute_0_11639]) ).

cnf(refute_0_11641,plain,
    product(c,product(c,product(c,bigC(a,a,c)))) = product(product(product(bigC(b,b,c),c),c),c),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,bigC(c,c,bigC(b,b,c))),bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(c,quotient(c,bigC(c,c,bigC(b,b,c))))) )],[refute_0_11569,refute_0_11640]) ).

cnf(refute_0_11642,plain,
    ( product(c,product(c,product(c,bigC(a,a,c)))) != product(product(product(bigC(b,b,c),c),c),c)
    | product(product(product(bigC(b,b,c),c),c),c) = product(c,product(c,product(c,bigC(a,a,c)))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,product(c,bigC(a,a,c)))))),bind(Y,$fot(product(product(product(bigC(b,b,c),c),c),c)))]]) ).

cnf(refute_0_11643,plain,
    product(product(product(bigC(b,b,c),c),c),c) = product(c,product(c,product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,bigC(a,a,c)))),product(product(product(bigC(b,b,c),c),c),c)) )],[refute_0_11641,refute_0_11642]) ).

cnf(refute_0_11644,plain,
    ( product(product(product(bigC(b,b,c),c),c),c) != product(c,product(c,product(c,bigC(a,a,c))))
    | product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) != product(product(product(product(bigC(b,b,c),c),c),c),product(B,D))
    | product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) = product(product(c,product(c,product(c,bigC(a,a,c)))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)),product(product(product(product(bigC(b,b,c),c),c),c),product(B,D))) ),[1,0],$fot(product(c,product(c,product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11645,plain,
    ( product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) != product(product(product(product(bigC(b,b,c),c),c),c),product(B,D))
    | product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) = product(product(c,product(c,product(c,bigC(a,a,c)))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,bigC(a,a,c))))) )],[refute_0_11643,refute_0_11644]) ).

cnf(refute_0_11646,plain,
    product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)) = product(product(c,product(c,product(c,bigC(a,a,c)))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),B),product(c,D)),product(product(product(product(bigC(b,b,c),c),c),c),product(B,D))) )],[refute_0_11553,refute_0_11645]) ).

cnf(refute_0_11647,plain,
    product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))),
    inference(subst,[],[refute_0_11646:[bind(B,$fot(c)),bind(D,$fot(product(c,product(c,product(b,product(c,a))))))]]) ).

cnf(refute_0_11648,plain,
    ( product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) != product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a))))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))))),bind(Y,$fot(product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))))),bind(Z,$fot(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))))]]) ).

cnf(refute_0_11649,plain,
    ( product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))),product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a))))))) )],[refute_0_11647,refute_0_11648]) ).

cnf(refute_0_11650,plain,
    product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,bigC(a,a,c)))),product(c,product(c,product(c,product(b,product(c,a)))))),product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) )],[refute_0_11552,refute_0_11649]) ).

cnf(refute_0_11651,plain,
    ( product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) != product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))))),bind(Y,$fot(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))))),bind(Z,$fot(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11652,plain,
    ( product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))),product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a))))))) )],[refute_0_11650,refute_0_11651]) ).

cnf(refute_0_11653,plain,
    product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,bigC(a,a,c)),product(c,product(b,product(c,a)))))),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11547,refute_0_11652]) ).

cnf(refute_0_11654,plain,
    ( product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) != c
    | product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))),c) ),[0],$fot(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11655,plain,
    ( product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))) != c
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11653,refute_0_11654]) ).

cnf(refute_0_11656,plain,
    product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(b,b,c),c),c),c),product(c,product(c,product(c,product(b,product(c,a)))))),c) )],[refute_0_11494,refute_0_11655]) ).

cnf(refute_0_11657,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11658,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11657]) ).

cnf(refute_0_11659,plain,
    bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11430,refute_0_11658]) ).

cnf(refute_0_11660,plain,
    product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),
    inference(subst,[],[refute_0_11208:[bind(X_18,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bind(X_97,$fot(B)),bind(X_98,$fot(c))]]) ).

cnf(refute_0_11661,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c)
    | product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) ),[0],$fot(product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c))]]) ).

cnf(refute_0_11662,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c)
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) )],[refute_0_11660,refute_0_11661]) ).

cnf(refute_0_11663,plain,
    bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),
    inference(resolve,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B),c)) )],[refute_0_11659,refute_0_11662]) ).

cnf(refute_0_11664,plain,
    product(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(subst,[],[refute_0_11:[bind(A,$fot(c)),bind(B,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11665,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_11666,plain,
    ( product(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11665]) ).

cnf(refute_0_11667,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11664,refute_0_11666]) ).

cnf(refute_0_11668,plain,
    quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(c)),bind(X_16,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11669,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11670,plain,
    ( quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11669]) ).

cnf(refute_0_11671,plain,
    quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11668,refute_0_11670]) ).

cnf(refute_0_11672,plain,
    product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_11673,plain,
    bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_11674,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))
    | product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)))),bind(Z,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11675,plain,
    ( product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))) )],[refute_0_11673,refute_0_11674]) ).

cnf(refute_0_11676,plain,
    bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11672,refute_0_11675]) ).

cnf(refute_0_11677,plain,
    bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) = bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11678,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) != bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),bind(Y,$fot(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Z,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11679,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11677,refute_0_11678]) ).

cnf(refute_0_11680,plain,
    bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11676,refute_0_11679]) ).

cnf(refute_0_11681,plain,
    product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(product(c,X_25),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11682,plain,
    ( product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(product(c,X_25),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(product(c,X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(product(c,X_25),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11683,plain,
    ( product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(product(c,X_25),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(product(c,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11682]) ).

cnf(refute_0_11684,plain,
    product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(product(c,X_25),c),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(product(c,X_25),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11681,refute_0_11683]) ).

cnf(refute_0_11685,plain,
    product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_26,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11686,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11687,plain,
    ( product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11686]) ).

cnf(refute_0_11688,plain,
    product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11685,refute_0_11687]) ).

cnf(refute_0_11689,plain,
    product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(X_24)),bind(X_26,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11690,plain,
    ( product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[0],$fot(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11691,plain,
    ( product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11689,refute_0_11690]) ).

cnf(refute_0_11692,plain,
    product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11688,refute_0_11691]) ).

cnf(refute_0_11693,plain,
    ( product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))))]]) ).

cnf(refute_0_11694,plain,
    product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11692,refute_0_11693]) ).

cnf(refute_0_11695,plain,
    product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_11694:[bind(X_24,$fot(X_25))]]) ).

cnf(refute_0_11696,plain,
    ( product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(product(c,X_25),c)
    | product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(product(c,X_25),c)) ),[0],$fot(product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11697,plain,
    ( product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(product(c,X_25),c)
    | product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11695,refute_0_11696]) ).

cnf(refute_0_11698,plain,
    ( product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,X_25),c)
    | product(product(c,X_25),c) != bigC(c,X_25,c)
    | product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,X_25,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,X_25,c)) ),[0],$fot(product(product(c,X_25),c))]]) ).

cnf(refute_0_11699,plain,
    ( product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,X_25),c)
    | product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),c),bigC(c,X_25,c)) )],[refute_0_2823,refute_0_11698]) ).

cnf(refute_0_11700,plain,
    ( product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(product(c,X_25),c)
    | product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,X_25),c)) )],[refute_0_11697,refute_0_11699]) ).

cnf(refute_0_11701,plain,
    product(c,product(X_25,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,X_25,c),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(product(c,X_25),c)) )],[refute_0_11684,refute_0_11700]) ).

cnf(refute_0_11702,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),
    inference(subst,[],[refute_0_11701:[bind(X_25,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11703,plain,
    ( bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),bind(Z,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11704,plain,
    ( bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) )],[refute_0_11702,refute_0_11703]) ).

cnf(refute_0_11705,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11680,refute_0_11704]) ).

cnf(refute_0_11706,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(X_26,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11707,plain,
    ( product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Z,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11708,plain,
    ( product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11706,refute_0_11707]) ).

cnf(refute_0_11709,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11705,refute_0_11708]) ).

cnf(refute_0_11710,plain,
    ( product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Y,$fot(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Z,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11711,plain,
    ( product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11668,refute_0_11710]) ).

cnf(refute_0_11712,plain,
    quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11709,refute_0_11711]) ).

cnf(refute_0_11713,plain,
    ( quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[0],$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11714,plain,
    ( quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11712,refute_0_11713]) ).

cnf(refute_0_11715,plain,
    ( product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),[0],$fot(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11716,plain,
    ( product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11715]) ).

cnf(refute_0_11717,plain,
    ( quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11714,refute_0_11716]) ).

cnf(refute_0_11718,plain,
    product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11671,refute_0_11717]) ).

cnf(refute_0_11719,plain,
    ( product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)))),bind(Y,$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_11720,plain,
    ( product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11672,refute_0_11719]) ).

cnf(refute_0_11721,plain,
    product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11718,refute_0_11720]) ).

cnf(refute_0_11722,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))
    | product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) != c
    | bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_11723,plain,
    ( product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) != c
    | bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))) )],[refute_0_11673,refute_0_11722]) ).

cnf(refute_0_11724,plain,
    bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)),c) )],[refute_0_11721,refute_0_11723]) ).

cnf(refute_0_11725,plain,
    product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11726,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11727,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11725,refute_0_11726]) ).

cnf(refute_0_11728,plain,
    product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11724,refute_0_11727]) ).

cnf(refute_0_11729,plain,
    ( product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,c)
    | product(c,c) != c
    | product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_11730,plain,
    ( product(c,c) != c
    | product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,c)) )],[refute_0_11728,refute_0_11729]) ).

cnf(refute_0_11731,plain,
    product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_11730]) ).

cnf(refute_0_11732,plain,
    product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_11733,plain,
    bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_11734,plain,
    ( bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),bind(Y,$fot(product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))),bind(Z,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))))]]) ).

cnf(refute_0_11735,plain,
    ( product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) )],[refute_0_11733,refute_0_11734]) ).

cnf(refute_0_11736,plain,
    bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11732,refute_0_11735]) ).

cnf(refute_0_11737,plain,
    product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_11738,plain,
    ( bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Y,$fot(bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),bind(Z,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))))]]) ).

cnf(refute_0_11739,plain,
    ( bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11737,refute_0_11738]) ).

cnf(refute_0_11740,plain,
    product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11736,refute_0_11739]) ).

cnf(refute_0_11741,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) = product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11742,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,X_26))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) = product(c,product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,X_26))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11743,plain,
    ( product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,X_26))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) = product(c,product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11742]) ).

cnf(refute_0_11744,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)) = product(c,product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),X_26)),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,X_26))) )],[refute_0_11741,refute_0_11743]) ).

cnf(refute_0_11745,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),
    inference(subst,[],[refute_0_11744:[bind(X_26,$fot(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))]]) ).

cnf(refute_0_11746,plain,
    ( product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Y,$fot(product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Z,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))))]]) ).

cnf(refute_0_11747,plain,
    ( product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))) )],[refute_0_11745,refute_0_11746]) ).

cnf(refute_0_11748,plain,
    product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11740,refute_0_11747]) ).

cnf(refute_0_11749,plain,
    product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) = product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11750,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(B,D))
    | product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) = product(c,product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(B,D))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11751,plain,
    ( product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) != product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(B,D))
    | product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) = product(c,product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11750]) ).

cnf(refute_0_11752,plain,
    product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)) = product(c,product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),D)),product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(B,D))) )],[refute_0_11749,refute_0_11751]) ).

cnf(refute_0_11753,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),
    inference(subst,[],[refute_0_11752:[bind(B,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(D,$fot(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))]]) ).

cnf(refute_0_11754,plain,
    ( product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Y,$fot(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Z,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))))]]) ).

cnf(refute_0_11755,plain,
    ( product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))) )],[refute_0_11753,refute_0_11754]) ).

cnf(refute_0_11756,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11748,refute_0_11755]) ).

cnf(refute_0_11757,plain,
    ( product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != c
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))))),bind(Y,$fot(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_11758,plain,
    ( product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != c
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11756,refute_0_11757]) ).

cnf(refute_0_11759,plain,
    product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),c) )],[refute_0_11731,refute_0_11758]) ).

cnf(refute_0_11760,plain,
    ( product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != c
    | product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | c = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),[0],$fot(c)]]) ).

cnf(refute_0_11761,plain,
    ( product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | c = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),c) )],[refute_0_11759,refute_0_11760]) ).

cnf(refute_0_11762,plain,
    c = product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11667,refute_0_11761]) ).

cnf(refute_0_11763,plain,
    ( c != product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11764,plain,
    product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) = c,
    inference(resolve,[$cnf( $equal(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11762,refute_0_11763]) ).

cnf(refute_0_11765,plain,
    bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),
    introduced(tautology,[refl,[$fot(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c))]]) ).

cnf(refute_0_11766,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c)
    | product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11767,plain,
    ( product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,B,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c)) )],[refute_0_11765,refute_0_11766]) ).

cnf(refute_0_11768,plain,
    bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) = bigC(c,B,c),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) )],[refute_0_11764,refute_0_11767]) ).

cnf(refute_0_11769,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != bigC(c,B,c)
    | bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(c,B,c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) ),[0],$fot(bigC(c,B,c))]]) ).

cnf(refute_0_11770,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(c,B,c) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(c,B,c)) )],[refute_0_11768,refute_0_11769]) ).

cnf(refute_0_11771,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))) = c,
    inference(subst,[],[refute_0_4079:[bind(B,$fot(c)),bind(X_41,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11772,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))) != c
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),c) ),[0,1,1,1],$fot(c)]]) ).

cnf(refute_0_11773,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))) != c
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11772]) ).

cnf(refute_0_11774,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),c) )],[refute_0_11771,refute_0_11773]) ).

cnf(refute_0_11775,plain,
    bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11776,plain,
    product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11777,plain,
    ( bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)
    | product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))),bind(Y,$fot(bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))),bind(Z,$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11778,plain,
    ( bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) )],[refute_0_11776,refute_0_11777]) ).

cnf(refute_0_11779,plain,
    product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11775,refute_0_11778]) ).

cnf(refute_0_11780,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))]]) ).

cnf(refute_0_11781,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) ),[1,0],$fot(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11782,plain,
    ( bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11780,refute_0_11781]) ).

cnf(refute_0_11783,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11676,refute_0_11782]) ).

cnf(refute_0_11784,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))),bind(Y,$fot(product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))),bind(Z,$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11785,plain,
    ( product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11783,refute_0_11784]) ).

cnf(refute_0_11786,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11779,refute_0_11785]) ).

cnf(refute_0_11787,plain,
    bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(c)),bind(X_36,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11788,plain,
    product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) = bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))]]) ).

cnf(refute_0_11789,plain,
    ( bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) != bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)))),bind(Y,$fot(bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))),bind(Z,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_11790,plain,
    ( bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)),bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) )],[refute_0_11788,refute_0_11789]) ).

cnf(refute_0_11791,plain,
    product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11787,refute_0_11790]) ).

cnf(refute_0_11792,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(X_65,$fot(c)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_11793,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) != product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c))
    | product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)))),bind(Y,$fot(product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)))),bind(Z,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_11794,plain,
    ( product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c))) )],[refute_0_11792,refute_0_11793]) ).

cnf(refute_0_11795,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c),c)),product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11791,refute_0_11794]) ).

cnf(refute_0_11796,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) != product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)))),bind(Y,$fot(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))),bind(Z,$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11797,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11795,refute_0_11796]) ).

cnf(refute_0_11798,plain,
    product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11786,refute_0_11797]) ).

cnf(refute_0_11799,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c))]]) ).

cnf(refute_0_11800,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) != product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)) ),[1,0],$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11801,plain,
    ( product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)) )],[refute_0_11799,refute_0_11800]) ).

cnf(refute_0_11802,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11798,refute_0_11801]) ).

cnf(refute_0_11803,plain,
    product(product(X_96,product(X_98,X_18)),X_98) = product(product(X_96,X_98),product(product(X_98,X_18),X_98)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(X_98,X_18))),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_11804,plain,
    ( product(product(X_96,product(X_98,X_18)),X_98) != product(product(X_96,X_98),product(product(X_98,X_18),X_98))
    | product(product(X_98,X_18),X_98) != bigC(X_98,X_18,X_98)
    | product(product(X_96,product(X_98,X_18)),X_98) = product(product(X_96,X_98),bigC(X_98,X_18,X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(X_98,X_18)),X_98),product(product(X_96,X_98),product(product(X_98,X_18),X_98))) ),[1,1],$fot(bigC(X_98,X_18,X_98))]]) ).

cnf(refute_0_11805,plain,
    ( product(product(X_96,product(X_98,X_18)),X_98) != product(product(X_96,X_98),product(product(X_98,X_18),X_98))
    | product(product(X_96,product(X_98,X_18)),X_98) = product(product(X_96,X_98),bigC(X_98,X_18,X_98)) ),
    inference(resolve,[$cnf( $equal(product(product(X_98,X_18),X_98),bigC(X_98,X_18,X_98)) )],[refute_0_11201,refute_0_11804]) ).

cnf(refute_0_11806,plain,
    product(product(X_96,product(X_98,X_18)),X_98) = product(product(X_96,X_98),bigC(X_98,X_18,X_98)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(X_98,X_18)),X_98),product(product(X_96,X_98),product(product(X_98,X_18),X_98))) )],[refute_0_11803,refute_0_11805]) ).

cnf(refute_0_11807,plain,
    ( product(product(X_96,product(X_98,X_18)),X_98) != product(product(X_96,X_98),bigC(X_98,X_18,X_98))
    | product(product(X_96,X_98),bigC(X_98,X_18,X_98)) = product(product(X_96,product(X_98,X_18)),X_98) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,product(X_98,X_18)),X_98))),bind(Y,$fot(product(product(X_96,X_98),bigC(X_98,X_18,X_98))))]]) ).

cnf(refute_0_11808,plain,
    product(product(X_96,X_98),bigC(X_98,X_18,X_98)) = product(product(X_96,product(X_98,X_18)),X_98),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(X_98,X_18)),X_98),product(product(X_96,X_98),bigC(X_98,X_18,X_98))) )],[refute_0_11806,refute_0_11807]) ).

cnf(refute_0_11809,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),
    inference(subst,[],[refute_0_11808:[bind(X_18,$fot(c)),bind(X_96,$fot(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(X_98,$fot(c))]]) ).

cnf(refute_0_11810,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(B,$fot(c)),bind(C,$fot(c)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_11811,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)) != product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) != product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c))
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))))),bind(Y,$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)))),bind(Z,$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)))]]) ).

cnf(refute_0_11812,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)) != product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))),product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c))) )],[refute_0_11810,refute_0_11811]) ).

cnf(refute_0_11813,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),bigC(c,c,c)),product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)) )],[refute_0_11809,refute_0_11812]) ).

cnf(refute_0_11814,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) != product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) != product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))))),bind(Y,$fot(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c))),bind(Z,$fot(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_11815,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c) != product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))),product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c)) )],[refute_0_11813,refute_0_11814]) ).

cnf(refute_0_11816,plain,
    product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,c)),c),product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11802,refute_0_11815]) ).

cnf(refute_0_11817,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) != c
    | product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) != product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))),c) ),[0],$fot(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))]]) ).

cnf(refute_0_11818,plain,
    ( product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))) != c
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = c ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))),product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11816,refute_0_11817]) ).

cnf(refute_0_11819,plain,
    product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = c,
    inference(resolve,[$cnf( $equal(product(product(bigC(c,c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(c,product(c,c))),c) )],[refute_0_11774,refute_0_11818]) ).

cnf(refute_0_11820,plain,
    difference(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(c)),bind(X_16,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11821,plain,
    ( difference(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_11822,plain,
    ( difference(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11821]) ).

cnf(refute_0_11823,plain,
    difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) )],[refute_0_11820,refute_0_11822]) ).

cnf(refute_0_11824,plain,
    difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11825,plain,
    difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11826,plain,
    ( difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_11827,plain,
    ( product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != c
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11825,refute_0_11826]) ).

cnf(refute_0_11828,plain,
    difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) )],[refute_0_11656,refute_0_11827]) ).

cnf(refute_0_11829,plain,
    ( difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Z,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11830,plain,
    ( difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11828,refute_0_11829]) ).

cnf(refute_0_11831,plain,
    difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11824,refute_0_11830]) ).

cnf(refute_0_11832,plain,
    ( difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) ),[0],$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_11833,plain,
    ( difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11831,refute_0_11832]) ).

cnf(refute_0_11834,plain,
    product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bind(C,$fot(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11835,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)) != bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[0],$fot(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)))]]) ).

cnf(refute_0_11836,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c)),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11834,refute_0_11835]) ).

cnf(refute_0_11837,plain,
    ( difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) )],[refute_0_11833,refute_0_11836]) ).

cnf(refute_0_11838,plain,
    bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),product(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c))) )],[refute_0_11823,refute_0_11837]) ).

cnf(refute_0_11839,plain,
    product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,X_24,c),
    inference(subst,[],[refute_0_11701:[bind(X_25,$fot(X_24))]]) ).

cnf(refute_0_11840,plain,
    ( product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,X_24,c)
    | product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,X_24,c) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[0],$fot(bigC(c,X_24,c))]]) ).

cnf(refute_0_11841,plain,
    ( product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,X_24,c) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,X_24,c)) )],[refute_0_11839,refute_0_11840]) ).

cnf(refute_0_11842,plain,
    product(c,product(X_24,c)) = bigC(c,c,X_24),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(X_24))]]) ).

cnf(refute_0_11843,plain,
    product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11844,plain,
    ( product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(X_24,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11845,plain,
    ( product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(X_24,c) ),
    inference(resolve,[$cnf( $equal(product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11843,refute_0_11844]) ).

cnf(refute_0_11846,plain,
    product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = product(X_24,c),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) )],[refute_0_11764,refute_0_11845]) ).

cnf(refute_0_11847,plain,
    product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11848,plain,
    ( product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(X_24,c)
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) ),[1,1],$fot(product(X_24,c))]]) ).

cnf(refute_0_11849,plain,
    ( product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(X_24,c)
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11847,refute_0_11848]) ).

cnf(refute_0_11850,plain,
    product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = product(c,product(X_24,c)),
    inference(resolve,[$cnf( $equal(product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(X_24,c)) )],[refute_0_11846,refute_0_11849]) ).

cnf(refute_0_11851,plain,
    ( product(c,product(X_24,c)) != bigC(c,c,X_24)
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != product(c,product(X_24,c))
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = bigC(c,c,X_24) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))),bind(Y,$fot(product(c,product(X_24,c)))),bind(Z,$fot(bigC(c,c,X_24)))]]) ).

cnf(refute_0_11852,plain,
    ( product(c,product(X_24,c)) != bigC(c,c,X_24)
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = bigC(c,c,X_24) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),product(c,product(X_24,c))) )],[refute_0_11850,refute_0_11851]) ).

cnf(refute_0_11853,plain,
    product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) = bigC(c,c,X_24),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,c)),bigC(c,c,X_24)) )],[refute_0_11842,refute_0_11852]) ).

cnf(refute_0_11854,plain,
    ( bigC(c,X_24,c) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) != bigC(c,c,X_24)
    | bigC(c,X_24,c) = bigC(c,c,X_24) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_24,c),bigC(c,c,X_24)) ),[0],$fot(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))))]]) ).

cnf(refute_0_11855,plain,
    ( bigC(c,X_24,c) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,X_24,c) = bigC(c,c,X_24) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bigC(c,c,X_24)) )],[refute_0_11853,refute_0_11854]) ).

cnf(refute_0_11856,plain,
    ( product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))
    | bigC(c,X_24,c) = bigC(c,c,X_24) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_24,c),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11841,refute_0_11855]) ).

cnf(refute_0_11857,plain,
    bigC(c,X_24,c) = bigC(c,c,X_24),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),product(c,product(X_24,product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))) )],[refute_0_11692,refute_0_11856]) ).

cnf(refute_0_11858,plain,
    bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(subst,[],[refute_0_11857:[bind(X_24,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11859,plain,
    bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    introduced(tautology,[refl,[$fot(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11860,plain,
    ( bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_11861,plain,
    ( product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != c
    | bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11859,refute_0_11860]) ).

cnf(refute_0_11862,plain,
    bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),c) )],[refute_0_11764,refute_0_11861]) ).

cnf(refute_0_11863,plain,
    ( bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) != bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)
    | bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))),bind(Z,$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11864,plain,
    ( bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) != bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) )],[refute_0_11862,refute_0_11863]) ).

cnf(refute_0_11865,plain,
    bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11858,refute_0_11864]) ).

cnf(refute_0_11866,plain,
    ( bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) != bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1],$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11867,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) != bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11865,refute_0_11866]) ).

cnf(refute_0_11868,plain,
    bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),bigC(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11838,refute_0_11867]) ).

cnf(refute_0_11869,plain,
    ( bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) != bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bind(Y,$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11870,plain,
    bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11868,refute_0_11869]) ).

cnf(refute_0_11871,plain,
    bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),
    introduced(tautology,[refl,[$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))]]) ).

cnf(refute_0_11872,plain,
    ( bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))
    | bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) ),[1,2],$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_11873,plain,
    ( bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))) )],[refute_0_11871,refute_0_11872]) ).

cnf(refute_0_11874,plain,
    bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11870,refute_0_11873]) ).

cnf(refute_0_11875,plain,
    ( bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))
    | bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))))),bind(Y,$fot(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))),bind(Z,$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11876,plain,
    ( bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) )],[refute_0_11874,refute_0_11875]) ).

cnf(refute_0_11877,plain,
    bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) = bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11870,refute_0_11876]) ).

cnf(refute_0_11878,plain,
    product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c))]]) ).

cnf(refute_0_11879,plain,
    ( bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) ),[1,0],$fot(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_11880,plain,
    ( bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))) != bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c)) )],[refute_0_11878,refute_0_11879]) ).

cnf(refute_0_11881,plain,
    product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) = product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_11877,refute_0_11880]) ).

cnf(refute_0_11882,plain,
    ( product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != c
    | product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)
    | product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),c) ),[0],$fot(product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c))]]) ).

cnf(refute_0_11883,plain,
    ( product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c) != c
    | product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c)) )],[refute_0_11881,refute_0_11882]) ).

cnf(refute_0_11884,plain,
    product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) = c,
    inference(resolve,[$cnf( $equal(product(bigC(c,c,bigC(c,c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))))),c),c) )],[refute_0_11819,refute_0_11883]) ).

cnf(refute_0_11885,plain,
    bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) = bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),
    introduced(tautology,[refl,[$fot(bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B))]]) ).

cnf(refute_0_11886,plain,
    ( bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) != c
    | bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) = bigC(c,c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11887,plain,
    ( product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c) != c
    | bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) = bigC(c,c,B) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) )],[refute_0_11885,refute_0_11886]) ).

cnf(refute_0_11888,plain,
    bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) = bigC(c,c,B),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),c) )],[refute_0_11884,refute_0_11887]) ).

cnf(refute_0_11889,plain,
    ( bigC(c,B,c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B) != bigC(c,c,B)
    | bigC(c,B,c) = bigC(c,c,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,c),bigC(c,c,B)) ),[0],$fot(bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B))]]) ).

cnf(refute_0_11890,plain,
    ( bigC(c,B,c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(c,B,c) = bigC(c,c,B) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B),bigC(c,c,B)) )],[refute_0_11888,refute_0_11889]) ).

cnf(refute_0_11891,plain,
    ( bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c) != bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)
    | bigC(c,B,c) = bigC(c,c,B) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,c),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) )],[refute_0_11770,refute_0_11890]) ).

cnf(refute_0_11892,plain,
    bigC(c,B,c) = bigC(c,c,B),
    inference(resolve,[$cnf( $equal(bigC(product(c,bigC(product(c,a),bigC(b,a,b),product(c,product(c,b)))),B,c),bigC(c,product(bigC(product(c,a),bigC(b,a,b),product(c,product(c,b))),c),B)) )],[refute_0_11663,refute_0_11891]) ).

cnf(refute_0_11893,plain,
    bigC(c,product(product(b,c),a),c) = bigC(c,c,product(product(b,c),a)),
    inference(subst,[],[refute_0_11892:[bind(B,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_11894,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_11895,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_11893,refute_0_11894]) ).

cnf(refute_0_11896,plain,
    bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),c)) = product(difference(product(bigC(a,a,c),c),c),c),
    inference(subst,[],[refute_0_11170:[bind(B,$fot(c)),bind(X_36,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_11897,plain,
    quotient(product(product(product(b,product(c,a)),c),c),c) = product(product(b,product(c,a)),c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(b,product(c,a)),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_11898,plain,
    quotient(product(product(product(product(b,product(c,a)),c),c),c),c) = product(product(product(b,product(c,a)),c),c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(product(b,product(c,a)),c),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_11899,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(bigC(c,c,bigC(b,b,c)))),bind(X_16,$fot(product(product(product(b,product(c,a)),c),c)))]]) ).

cnf(refute_0_11900,plain,
    product(product(product(product(b,product(c,a)),c),c),product(c,product(c,product(b,product(c,a))))) = c,
    inference(subst,[],[refute_0_11:[bind(A,$fot(product(b,product(c,a)))),bind(B,$fot(c))]]) ).

cnf(refute_0_11901,plain,
    ( product(c,product(b,product(c,a))) != product(bigC(b,b,c),c)
    | product(product(product(product(b,product(c,a)),c),c),product(c,product(c,product(b,product(c,a))))) != c
    | product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(c,product(c,product(b,product(c,a))))),c) ),[0,1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_11902,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(c,product(c,product(b,product(c,a))))) != c
    | product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,a))),product(bigC(b,b,c),c)) )],[refute_0_11484,refute_0_11901]) ).

cnf(refute_0_11903,plain,
    product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(c,product(c,product(b,product(c,a))))),c) )],[refute_0_11900,refute_0_11902]) ).

cnf(refute_0_11904,plain,
    product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) = product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))),
    inference(subst,[],[refute_0_566:[bind(A,$fot(product(product(b,product(c,a)),c))),bind(B,$fot(c)),bind(C,$fot(c)),bind(X_36,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_11905,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) != c
    | product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) != product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))
    | product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))),c) ),[0],$fot(product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))]]) ).

cnf(refute_0_11906,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))) != c
    | product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))) )],[refute_0_11904,refute_0_11905]) ).

cnf(refute_0_11907,plain,
    product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(c,product(bigC(b,b,c),c))),c) )],[refute_0_11903,refute_0_11906]) ).

cnf(refute_0_11908,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))
    | product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))) != c
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(b,product(c,a)),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11909,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(b,product(c,a)),c),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))),c) )],[refute_0_11907,refute_0_11908]) ).

cnf(refute_0_11910,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(b,product(c,a)),c),c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))) )],[refute_0_11899,refute_0_11909]) ).

cnf(refute_0_11911,plain,
    bigC(c,bigC(a,a,c),c) = bigC(c,c,bigC(a,a,c)),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_11912,plain,
    product(c,bigC(c,bigC(a,a,c),c)) = product(c,bigC(c,bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,bigC(a,a,c),c)))]]) ).

cnf(refute_0_11913,plain,
    ( bigC(c,bigC(a,a,c),c) != bigC(c,c,bigC(a,a,c))
    | product(c,bigC(c,bigC(a,a,c),c)) != product(c,bigC(c,bigC(a,a,c),c))
    | product(c,bigC(c,bigC(a,a,c),c)) = product(c,bigC(c,c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,bigC(a,a,c),c)),product(c,bigC(c,bigC(a,a,c),c))) ),[1,1],$fot(bigC(c,c,bigC(a,a,c)))]]) ).

cnf(refute_0_11914,plain,
    ( bigC(c,bigC(a,a,c),c) != bigC(c,c,bigC(a,a,c))
    | product(c,bigC(c,bigC(a,a,c),c)) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(a,a,c),c)),product(c,bigC(c,bigC(a,a,c),c))) )],[refute_0_11912,refute_0_11913]) ).

cnf(refute_0_11915,plain,
    product(c,bigC(c,bigC(a,a,c),c)) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,a,c),c),bigC(c,c,bigC(a,a,c))) )],[refute_0_11911,refute_0_11914]) ).

cnf(refute_0_11916,plain,
    bigC(c,c,product(c,bigC(a,a,c))) = product(c,bigC(c,bigC(a,a,c),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(bigC(a,a,c))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_11917,plain,
    bigC(c,product(c,bigC(a,a,c)),c) = bigC(c,c,product(c,bigC(a,a,c))),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11918,plain,
    ( bigC(c,c,product(c,bigC(a,a,c))) != product(c,bigC(c,bigC(a,a,c),c))
    | bigC(c,product(c,bigC(a,a,c)),c) != bigC(c,c,product(c,bigC(a,a,c)))
    | bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,bigC(a,a,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,bigC(a,a,c)),c))),bind(Y,$fot(bigC(c,c,product(c,bigC(a,a,c))))),bind(Z,$fot(product(c,bigC(c,bigC(a,a,c),c))))]]) ).

cnf(refute_0_11919,plain,
    ( bigC(c,c,product(c,bigC(a,a,c))) != product(c,bigC(c,bigC(a,a,c),c))
    | bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(a,a,c)),c),bigC(c,c,product(c,bigC(a,a,c)))) )],[refute_0_11917,refute_0_11918]) ).

cnf(refute_0_11920,plain,
    bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(a,a,c))),product(c,bigC(c,bigC(a,a,c),c))) )],[refute_0_11916,refute_0_11919]) ).

cnf(refute_0_11921,plain,
    ( bigC(c,product(c,bigC(a,a,c)),c) != product(c,bigC(c,bigC(a,a,c),c))
    | product(c,bigC(c,bigC(a,a,c),c)) != product(c,bigC(c,c,bigC(a,a,c)))
    | bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,bigC(a,a,c)),c))),bind(Y,$fot(product(c,bigC(c,bigC(a,a,c),c)))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11922,plain,
    ( product(c,bigC(c,bigC(a,a,c),c)) != product(c,bigC(c,c,bigC(a,a,c)))
    | bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(a,a,c)),c),product(c,bigC(c,bigC(a,a,c),c))) )],[refute_0_11920,refute_0_11921]) ).

cnf(refute_0_11923,plain,
    bigC(c,product(c,bigC(a,a,c)),c) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(a,a,c),c)),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11915,refute_0_11922]) ).

cnf(refute_0_11924,plain,
    product(product(c,product(c,bigC(a,a,c))),c) = bigC(c,product(c,bigC(a,a,c)),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11925,plain,
    ( bigC(c,product(c,bigC(a,a,c)),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | product(product(c,product(c,bigC(a,a,c))),c) != bigC(c,product(c,bigC(a,a,c)),c)
    | product(product(c,product(c,bigC(a,a,c))),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(a,a,c))),c))),bind(Y,$fot(bigC(c,product(c,bigC(a,a,c)),c))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11926,plain,
    ( bigC(c,product(c,bigC(a,a,c)),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | product(product(c,product(c,bigC(a,a,c))),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(a,a,c))),c),bigC(c,product(c,bigC(a,a,c)),c)) )],[refute_0_11924,refute_0_11925]) ).

cnf(refute_0_11927,plain,
    product(product(c,product(c,bigC(a,a,c))),c) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,bigC(a,a,c)),c),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11923,refute_0_11926]) ).

cnf(refute_0_11928,plain,
    product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c))]]) ).

cnf(refute_0_11929,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(product(c,product(c,bigC(a,a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)) ),[1,0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11930,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)) != product(c,product(c,bigC(a,a,c)))
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(product(c,product(c,bigC(a,a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)) )],[refute_0_11928,refute_0_11929]) ).

cnf(refute_0_11931,plain,
    product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(product(c,product(c,bigC(a,a,c))),c),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11596,refute_0_11930]) ).

cnf(refute_0_11932,plain,
    ( product(product(c,product(c,bigC(a,a,c))),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) != product(product(c,product(c,bigC(a,a,c))),c)
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c))),bind(Y,$fot(product(product(c,product(c,bigC(a,a,c))),c))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11933,plain,
    ( product(product(c,product(c,bigC(a,a,c))),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),product(product(c,product(c,bigC(a,a,c))),c)) )],[refute_0_11931,refute_0_11932]) ).

cnf(refute_0_11934,plain,
    product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(a,a,c))),c),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11927,refute_0_11933]) ).

cnf(refute_0_11935,plain,
    product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(product(b,product(c,a)),c),c),X_25),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(product(b,product(c,a)),c),c))),bind(X_26,$fot(bigC(c,c,bigC(b,b,c))))]]) ).

cnf(refute_0_11936,plain,
    ( product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))) != c
    | product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) != product(product(product(product(product(b,product(c,a)),c),c),X_25),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))
    | product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(product(b,product(c,a)),c),c),X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))),product(product(product(product(product(b,product(c,a)),c),c),X_25),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11937,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) != product(product(product(product(product(b,product(c,a)),c),c),X_25),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))
    | product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(product(b,product(c,a)),c),c),X_25),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))),c) )],[refute_0_11907,refute_0_11936]) ).

cnf(refute_0_11938,plain,
    product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))) = product(product(product(product(product(b,product(c,a)),c),c),X_25),c),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(X_25,bigC(c,c,bigC(b,b,c)))),product(product(product(product(product(b,product(c,a)),c),c),X_25),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))) )],[refute_0_11935,refute_0_11937]) ).

cnf(refute_0_11939,plain,
    product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),
    inference(subst,[],[refute_0_11938:[bind(X_25,$fot(product(product(product(b,product(c,a)),c),c)))]]) ).

cnf(refute_0_11940,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_1009:[bind(B,$fot(product(product(b,product(c,a)),c))),bind(D,$fot(c)),bind(X_29,$fot(bigC(c,c,bigC(b,b,c))))]]) ).

cnf(refute_0_11941,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))
    | product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))))),bind(Z,$fot(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)))]]) ).

cnf(refute_0_11942,plain,
    ( product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c))))) )],[refute_0_11940,refute_0_11941]) ).

cnf(refute_0_11943,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),product(product(product(product(b,product(c,a)),c),c),bigC(c,c,bigC(b,b,c)))),product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)) )],[refute_0_11939,refute_0_11942]) ).

cnf(refute_0_11944,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)),
    inference(subst,[],[refute_0_1023:[bind(A,$fot(bigC(c,c,bigC(b,b,c)))),bind(B,$fot(product(product(b,product(c,a)),c))),bind(C,$fot(product(product(product(b,product(c,a)),c),c))),bind(D,$fot(c))]]) ).

cnf(refute_0_11945,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c))
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)))),bind(Z,$fot(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)))]]) ).

cnf(refute_0_11946,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c))) )],[refute_0_11944,refute_0_11945]) ).

cnf(refute_0_11947,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(b,product(c,a)),c)),product(product(product(product(b,product(c,a)),c),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)) )],[refute_0_11943,refute_0_11946]) ).

cnf(refute_0_11948,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)
    | product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)))),bind(Y,$fot(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c))),bind(Z,$fot(product(c,bigC(c,c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11949,plain,
    ( product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c)) )],[refute_0_11947,refute_0_11948]) ).

cnf(refute_0_11950,plain,
    difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,product(c,a)),c),c),product(product(product(b,product(c,a)),c),c)),c),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11934,refute_0_11949]) ).

cnf(refute_0_11951,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(c,bigC(c,c,bigC(a,a,c)))
    | difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(b,product(c,a)),c),c),c)
    | product(c,bigC(c,c,bigC(a,a,c))) = product(product(product(product(b,product(c,a)),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(b,product(c,a)),c),c),c)) ),[0],$fot(product(c,bigC(c,c,bigC(a,a,c))))]]) ).

cnf(refute_0_11952,plain,
    ( difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)) != product(product(product(product(b,product(c,a)),c),c),c)
    | product(c,bigC(c,c,bigC(a,a,c))) = product(product(product(product(b,product(c,a)),c),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11950,refute_0_11951]) ).

cnf(refute_0_11953,plain,
    product(c,bigC(c,c,bigC(a,a,c))) = product(product(product(product(b,product(c,a)),c),c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,c,bigC(b,b,c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(b,product(c,a)),c),c)),product(product(product(product(b,product(c,a)),c),c),c)) )],[refute_0_11910,refute_0_11952]) ).

cnf(refute_0_11954,plain,
    ( product(c,bigC(c,c,bigC(a,a,c))) != product(product(product(product(b,product(c,a)),c),c),c)
    | product(product(product(product(b,product(c,a)),c),c),c) = product(c,bigC(c,c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,bigC(c,c,bigC(a,a,c))))),bind(Y,$fot(product(product(product(product(b,product(c,a)),c),c),c)))]]) ).

cnf(refute_0_11955,plain,
    product(product(product(product(b,product(c,a)),c),c),c) = product(c,bigC(c,c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(a,a,c))),product(product(product(product(b,product(c,a)),c),c),c)) )],[refute_0_11953,refute_0_11954]) ).

cnf(refute_0_11956,plain,
    ( product(product(product(product(b,product(c,a)),c),c),c) != product(c,bigC(c,c,bigC(a,a,c)))
    | quotient(product(product(product(product(b,product(c,a)),c),c),c),c) != product(product(product(b,product(c,a)),c),c)
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(product(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(b,product(c,a)),c),c),c),c),product(product(product(b,product(c,a)),c),c)) ),[0,0],$fot(product(c,bigC(c,c,bigC(a,a,c))))]]) ).

cnf(refute_0_11957,plain,
    ( quotient(product(product(product(product(b,product(c,a)),c),c),c),c) != product(product(product(b,product(c,a)),c),c)
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(product(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(c,a)),c),c),c),product(c,bigC(c,c,bigC(a,a,c)))) )],[refute_0_11955,refute_0_11956]) ).

cnf(refute_0_11958,plain,
    quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(product(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(b,product(c,a)),c),c),c),c),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11898,refute_0_11957]) ).

cnf(refute_0_11959,plain,
    quotient(bigC(c,c,bigC(a,a,c)),c) = product(c,bigC(a,a,c)),
    inference(subst,[],[refute_0_250:[bind(B,$fot(c)),bind(X_22,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_11960,plain,
    product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) = product(c,quotient(bigC(c,c,bigC(a,a,c)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(bigC(c,c,bigC(a,a,c)),c)))]]) ).

cnf(refute_0_11961,plain,
    ( product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) != product(c,quotient(bigC(c,c,bigC(a,a,c)),c))
    | quotient(bigC(c,c,bigC(a,a,c)),c) != product(c,bigC(a,a,c))
    | product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(bigC(c,c,bigC(a,a,c)),c)),product(c,quotient(bigC(c,c,bigC(a,a,c)),c))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_11962,plain,
    ( quotient(bigC(c,c,bigC(a,a,c)),c) != product(c,bigC(a,a,c))
    | product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(c,c,bigC(a,a,c)),c)),product(c,quotient(bigC(c,c,bigC(a,a,c)),c))) )],[refute_0_11960,refute_0_11961]) ).

cnf(refute_0_11963,plain,
    product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,c,bigC(a,a,c)),c),product(c,bigC(a,a,c))) )],[refute_0_11959,refute_0_11962]) ).

cnf(refute_0_11964,plain,
    quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(c,quotient(bigC(c,c,bigC(a,a,c)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(bigC(c,c,bigC(a,a,c))))]]) ).

cnf(refute_0_11965,plain,
    ( product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) != product(c,product(c,bigC(a,a,c)))
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) != product(c,quotient(bigC(c,c,bigC(a,a,c)),c))
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,bigC(c,c,bigC(a,a,c))),c))),bind(Y,$fot(product(c,quotient(bigC(c,c,bigC(a,a,c)),c)))),bind(Z,$fot(product(c,product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_11966,plain,
    ( product(c,quotient(bigC(c,c,bigC(a,a,c)),c)) != product(c,product(c,bigC(a,a,c)))
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(c,c,bigC(a,a,c))),c),product(c,quotient(bigC(c,c,bigC(a,a,c)),c))) )],[refute_0_11964,refute_0_11965]) ).

cnf(refute_0_11967,plain,
    quotient(product(c,bigC(c,c,bigC(a,a,c))),c) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(c,c,bigC(a,a,c)),c)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11963,refute_0_11966]) ).

cnf(refute_0_11968,plain,
    ( quotient(product(c,bigC(c,c,bigC(a,a,c))),c) != product(c,product(c,bigC(a,a,c)))
    | quotient(product(c,bigC(c,c,bigC(a,a,c))),c) != product(product(product(b,product(c,a)),c),c)
    | product(c,product(c,bigC(a,a,c))) = product(product(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(c,c,bigC(a,a,c))),c),product(product(product(b,product(c,a)),c),c)) ),[0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11969,plain,
    ( quotient(product(c,bigC(c,c,bigC(a,a,c))),c) != product(product(product(b,product(c,a)),c),c)
    | product(c,product(c,bigC(a,a,c))) = product(product(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(c,c,bigC(a,a,c))),c),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11967,refute_0_11968]) ).

cnf(refute_0_11970,plain,
    product(c,product(c,bigC(a,a,c))) = product(product(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(c,c,bigC(a,a,c))),c),product(product(product(b,product(c,a)),c),c)) )],[refute_0_11958,refute_0_11969]) ).

cnf(refute_0_11971,plain,
    ( product(c,product(c,bigC(a,a,c))) != product(product(product(b,product(c,a)),c),c)
    | product(product(product(b,product(c,a)),c),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,bigC(a,a,c))))),bind(Y,$fot(product(product(product(b,product(c,a)),c),c)))]]) ).

cnf(refute_0_11972,plain,
    product(product(product(b,product(c,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(product(b,product(c,a)),c),c)) )],[refute_0_11970,refute_0_11971]) ).

cnf(refute_0_11973,plain,
    ( product(product(product(b,product(c,a)),c),c) != product(c,product(c,bigC(a,a,c)))
    | quotient(product(product(product(b,product(c,a)),c),c),c) != product(product(b,product(c,a)),c)
    | quotient(product(c,product(c,bigC(a,a,c))),c) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(b,product(c,a)),c),c),c),product(product(b,product(c,a)),c)) ),[0,0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11974,plain,
    ( quotient(product(product(product(b,product(c,a)),c),c),c) != product(product(b,product(c,a)),c)
    | quotient(product(c,product(c,bigC(a,a,c))),c) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),c),c),product(c,product(c,bigC(a,a,c)))) )],[refute_0_11972,refute_0_11973]) ).

cnf(refute_0_11975,plain,
    quotient(product(c,product(c,bigC(a,a,c))),c) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(b,product(c,a)),c),c),c),product(product(b,product(c,a)),c)) )],[refute_0_11897,refute_0_11974]) ).

cnf(refute_0_11976,plain,
    product(c,product(c,quotient(bigC(a,a,c),c))) = difference(product(bigC(a,a,c),c),c),
    inference(subst,[],[refute_0_296:[bind(A,$fot(bigC(a,a,c))),bind(X_30,$fot(c))]]) ).

cnf(refute_0_11977,plain,
    quotient(product(c,bigC(a,a,c)),c) = product(c,quotient(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_11978,plain,
    product(c,quotient(product(c,bigC(a,a,c)),c)) = product(c,quotient(product(c,bigC(a,a,c)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,bigC(a,a,c)),c)))]]) ).

cnf(refute_0_11979,plain,
    ( product(c,quotient(product(c,bigC(a,a,c)),c)) != product(c,quotient(product(c,bigC(a,a,c)),c))
    | quotient(product(c,bigC(a,a,c)),c) != product(c,quotient(bigC(a,a,c),c))
    | product(c,quotient(product(c,bigC(a,a,c)),c)) = product(c,product(c,quotient(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,c)),c)),product(c,quotient(product(c,bigC(a,a,c)),c))) ),[1,1],$fot(product(c,quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_11980,plain,
    ( quotient(product(c,bigC(a,a,c)),c) != product(c,quotient(bigC(a,a,c),c))
    | product(c,quotient(product(c,bigC(a,a,c)),c)) = product(c,product(c,quotient(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,c)),c)),product(c,quotient(product(c,bigC(a,a,c)),c))) )],[refute_0_11978,refute_0_11979]) ).

cnf(refute_0_11981,plain,
    product(c,quotient(product(c,bigC(a,a,c)),c)) = product(c,product(c,quotient(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),c),product(c,quotient(bigC(a,a,c),c))) )],[refute_0_11977,refute_0_11980]) ).

cnf(refute_0_11982,plain,
    ( product(c,product(c,quotient(bigC(a,a,c),c))) != difference(product(bigC(a,a,c),c),c)
    | product(c,quotient(product(c,bigC(a,a,c)),c)) != product(c,product(c,quotient(bigC(a,a,c),c)))
    | product(c,quotient(product(c,bigC(a,a,c)),c)) = difference(product(bigC(a,a,c),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,quotient(product(c,bigC(a,a,c)),c)))),bind(Y,$fot(product(c,product(c,quotient(bigC(a,a,c),c))))),bind(Z,$fot(difference(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_11983,plain,
    ( product(c,product(c,quotient(bigC(a,a,c),c))) != difference(product(bigC(a,a,c),c),c)
    | product(c,quotient(product(c,bigC(a,a,c)),c)) = difference(product(bigC(a,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,c)),c)),product(c,product(c,quotient(bigC(a,a,c),c)))) )],[refute_0_11981,refute_0_11982]) ).

cnf(refute_0_11984,plain,
    product(c,quotient(product(c,bigC(a,a,c)),c)) = difference(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(bigC(a,a,c),c))),difference(product(bigC(a,a,c),c),c)) )],[refute_0_11976,refute_0_11983]) ).

cnf(refute_0_11985,plain,
    quotient(product(c,product(c,bigC(a,a,c))),c) = product(c,quotient(product(c,bigC(a,a,c)),c)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(c)),bind(X_44,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_11986,plain,
    ( product(c,quotient(product(c,bigC(a,a,c)),c)) != difference(product(bigC(a,a,c),c),c)
    | quotient(product(c,product(c,bigC(a,a,c))),c) != product(c,quotient(product(c,bigC(a,a,c)),c))
    | quotient(product(c,product(c,bigC(a,a,c))),c) = difference(product(bigC(a,a,c),c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(c,bigC(a,a,c))),c))),bind(Y,$fot(product(c,quotient(product(c,bigC(a,a,c)),c)))),bind(Z,$fot(difference(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_11987,plain,
    ( product(c,quotient(product(c,bigC(a,a,c)),c)) != difference(product(bigC(a,a,c),c),c)
    | quotient(product(c,product(c,bigC(a,a,c))),c) = difference(product(bigC(a,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,c))),c),product(c,quotient(product(c,bigC(a,a,c)),c))) )],[refute_0_11985,refute_0_11986]) ).

cnf(refute_0_11988,plain,
    quotient(product(c,product(c,bigC(a,a,c))),c) = difference(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,bigC(a,a,c)),c)),difference(product(bigC(a,a,c),c),c)) )],[refute_0_11984,refute_0_11987]) ).

cnf(refute_0_11989,plain,
    ( quotient(product(c,product(c,bigC(a,a,c))),c) != difference(product(bigC(a,a,c),c),c)
    | quotient(product(c,product(c,bigC(a,a,c))),c) != product(product(b,product(c,a)),c)
    | difference(product(bigC(a,a,c),c),c) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,c))),c),product(product(b,product(c,a)),c)) ),[0],$fot(difference(product(bigC(a,a,c),c),c))]]) ).

cnf(refute_0_11990,plain,
    ( quotient(product(c,product(c,bigC(a,a,c))),c) != product(product(b,product(c,a)),c)
    | difference(product(bigC(a,a,c),c),c) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,c))),c),difference(product(bigC(a,a,c),c),c)) )],[refute_0_11988,refute_0_11989]) ).

cnf(refute_0_11991,plain,
    difference(product(bigC(a,a,c),c),c) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(a,a,c))),c),product(product(b,product(c,a)),c)) )],[refute_0_11975,refute_0_11990]) ).

cnf(refute_0_11992,plain,
    product(product(b,a),difference(product(b,a),product(product(b,product(c,a)),c))) = product(product(b,product(c,a)),c),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(b,a))),bind(B,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_11993,plain,
    difference(product(product(b,c),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) = product(product(product(b,c),product(c,a)),product(b,c)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(b,c))),bind(X_18,$fot(product(c,a))),bind(X_19,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_11994,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(difference(bigC(c,b,c),product(b,c)))),bind(X_30,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_11995,plain,
    quotient(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = product(b,c),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(b,c))),bind(B,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_11996,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | quotient(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(b,c)
    | quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(b,c)) ),[0,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_11997,plain,
    ( quotient(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(b,c)
    | quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_11996]) ).

cnf(refute_0_11998,plain,
    quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(b,c)) )],[refute_0_11995,refute_0_11997]) ).

cnf(refute_0_11999,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a)))))
    | quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) != product(b,c)
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a)))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_12000,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a)))))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(b,c)) )],[refute_0_11998,refute_0_11999]) ).

cnf(refute_0_12001,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),quotient(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a)))))) )],[refute_0_11994,refute_0_12000]) ).

cnf(refute_0_12002,plain,
    product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))) = product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(product(b,c))),bind(B,$fot(c)),bind(C,$fot(product(c,a))),bind(D,$fot(a)),bind(X_65,$fot(product(b,c)))]]) ).

cnf(refute_0_12003,plain,
    product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) = product(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(b,c))),bind(X_25,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12004,plain,
    ( 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(product(b,c),product(c,a)),X_26)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),X_26))
    | product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) = product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(product(b,c),product(c,a)),X_26)),product(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),X_26))) ),[1,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_12005,plain,
    ( product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),X_26))
    | product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) = product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_12004]) ).

cnf(refute_0_12006,plain,
    product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) = product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(product(b,c),product(c,a)),X_26)),product(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),X_26))) )],[refute_0_12003,refute_0_12005]) ).

cnf(refute_0_12007,plain,
    ( product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) != product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26))
    | product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26)) = product(product(b,c),product(product(product(b,c),product(c,a)),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,c),product(product(product(b,c),product(c,a)),X_26)))),bind(Y,$fot(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26))))]]) ).

cnf(refute_0_12008,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26)) = product(product(b,c),product(product(product(b,c),product(c,a)),X_26)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(product(b,c),product(c,a)),X_26)),product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),X_26))) )],[refute_0_12006,refute_0_12007]) ).

cnf(refute_0_12009,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))),
    inference(subst,[],[refute_0_12008:[bind(X_26,$fot(product(c,a)))]]) ).

cnf(refute_0_12010,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) != product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a)))
    | product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))) != product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))
    | product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))))),bind(Y,$fot(product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))))),bind(Z,$fot(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))))]]) ).

cnf(refute_0_12011,plain,
    ( product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))) != product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))
    | product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a)))) )],[refute_0_12009,refute_0_12010]) ).

cnf(refute_0_12012,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) = product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(product(b,c),product(c,a)),product(c,a))),product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))) )],[refute_0_12002,refute_0_12011]) ).

cnf(refute_0_12013,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12014,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a)))
    | product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) != product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a)))) ),[1,0],$fot(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))))]]) ).

cnf(refute_0_12015,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))) != product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a)))) )],[refute_0_12013,refute_0_12014]) ).

cnf(refute_0_12016,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(product(product(b,c),c),product(product(c,a),a)))) )],[refute_0_12012,refute_0_12015]) ).

cnf(refute_0_12017,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) ),[0],$fot(difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12018,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a)))) )],[refute_0_12016,refute_0_12017]) ).

cnf(refute_0_12019,plain,
    product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(product(c,a))),bind(X_23,$fot(product(b,c))),bind(X_24,$fot(product(c,a))),bind(X_25,$fot(b)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12020,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) = product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))),
    inference(subst,[],[refute_0_806:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(b,c))),bind(X_25,$fot(product(c,a))),bind(X_26,$fot(product(product(c,a),c)))]]) ).

cnf(refute_0_12021,plain,
    ( product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) != product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))))),bind(Y,$fot(product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))))),bind(Z,$fot(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))))]]) ).

cnf(refute_0_12022,plain,
    ( product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))),product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c)))) )],[refute_0_12020,refute_0_12021]) ).

cnf(refute_0_12023,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(b,c)),product(product(c,a),product(product(c,a),c))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12019,refute_0_12022]) ).

cnf(refute_0_12024,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(product(b,c))),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(c)),bind(X_65,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12025,plain,
    ( product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))))),bind(Y,$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))))),bind(Z,$fot(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))))]]) ).

cnf(refute_0_12026,plain,
    ( product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c)))) )],[refute_0_12024,refute_0_12025]) ).

cnf(refute_0_12027,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),b),product(product(c,a),c))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12023,refute_0_12026]) ).

cnf(refute_0_12028,plain,
    ( difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) ),[0],$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))))]]) ).

cnf(refute_0_12029,plain,
    ( difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12027,refute_0_12028]) ).

cnf(refute_0_12030,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_12018,refute_0_12029]) ).

cnf(refute_0_12031,plain,
    difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_12001,refute_0_12030]) ).

cnf(refute_0_12032,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a)))
    | difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))))),bind(Y,$fot(difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))))),bind(Z,$fot(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))))]]) ).

cnf(refute_0_12033,plain,
    ( difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a)))) )],[refute_0_12016,refute_0_12032]) ).

cnf(refute_0_12034,plain,
    difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(product(product(b,c),c),product(product(c,a),a))),product(product(b,c),product(c,a))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12031,refute_0_12033]) ).

cnf(refute_0_12035,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) ),[0],$fot(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12036,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12034,refute_0_12035]) ).

cnf(refute_0_12037,plain,
    product(product(product(b,c),product(product(b,c),product(c,a))),c) = product(product(product(b,c),product(product(b,c),product(c,a))),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),product(product(b,c),product(c,a))),c))]]) ).

cnf(refute_0_12038,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | product(product(product(b,c),product(product(b,c),product(c,a))),c) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(product(product(b,c),product(product(b,c),product(c,a))),c) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(product(b,c),product(c,a))),c),product(product(product(b,c),product(product(b,c),product(c,a))),c)) ),[1,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_12039,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | product(product(product(b,c),product(product(b,c),product(c,a))),c) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(b,c),product(c,a))),c),product(product(product(b,c),product(product(b,c),product(c,a))),c)) )],[refute_0_12037,refute_0_12038]) ).

cnf(refute_0_12040,plain,
    product(product(product(b,c),product(product(b,c),product(c,a))),c) = product(difference(bigC(c,b,c),product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_12039]) ).

cnf(refute_0_12041,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = product(product(product(b,c),product(product(b,c),product(c,a))),c),
    inference(subst,[],[refute_0_5490:[bind(X_18,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12042,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),C) = product(product(product(b,c),product(product(b,c),product(c,a))),product(C,product(b,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(b,c))),bind(B,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12043,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),C) != product(product(product(b,c),product(product(b,c),product(c,a))),product(C,product(b,c)))
    | product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),C) = product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),C),product(product(product(b,c),product(product(b,c),product(c,a))),product(C,product(b,c)))) ),[1,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_12044,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),C) != product(product(product(b,c),product(product(b,c),product(c,a))),product(C,product(b,c)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),C) = product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_12043]) ).

cnf(refute_0_12045,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),C) = product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),C),product(product(product(b,c),product(product(b,c),product(c,a))),product(C,product(b,c)))) )],[refute_0_12042,refute_0_12044]) ).

cnf(refute_0_12046,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),C) != product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c)))
    | product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c))) = bigC(product(b,c),product(product(b,c),product(c,a)),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(b,c),product(product(b,c),product(c,a)),C))),bind(Y,$fot(product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c)))))]]) ).

cnf(refute_0_12047,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c))) = bigC(product(b,c),product(product(b,c),product(c,a)),C),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),C),product(difference(bigC(c,b,c),product(b,c)),product(C,product(b,c)))) )],[refute_0_12045,refute_0_12046]) ).

cnf(refute_0_12048,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) = bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),
    inference(subst,[],[refute_0_12047:[bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_12049,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) != bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a))
    | product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))))),bind(Y,$fot(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)))),bind(Z,$fot(product(product(product(b,c),product(product(b,c),product(c,a))),c)))]]) ).

cnf(refute_0_12050,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))),bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a))) )],[refute_0_12048,refute_0_12049]) ).

cnf(refute_0_12051,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),product(product(product(b,c),product(product(b,c),product(c,a))),c)) )],[refute_0_12041,refute_0_12050]) ).

cnf(refute_0_12052,plain,
    product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) = product(product(product(b,c),product(product(b,c),product(c,a))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(b,c))),bind(C,$fot(product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_12053,plain,
    ( product(product(b,c),product(product(b,c),product(c,a))) != difference(bigC(c,b,c),product(b,c))
    | product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(B,D))
    | product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) = product(difference(bigC(c,b,c),product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)),product(product(product(b,c),product(product(b,c),product(c,a))),product(B,D))) ),[1,0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_12054,plain,
    ( product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) != product(product(product(b,c),product(product(b,c),product(c,a))),product(B,D))
    | product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) = product(difference(bigC(c,b,c),product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),difference(bigC(c,b,c),product(b,c))) )],[refute_0_5441,refute_0_12053]) ).

cnf(refute_0_12055,plain,
    product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)) = product(difference(bigC(c,b,c),product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),product(product(product(b,c),product(c,a)),D)),product(product(product(b,c),product(product(b,c),product(c,a))),product(B,D))) )],[refute_0_12052,refute_0_12054]) ).

cnf(refute_0_12056,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))),
    inference(subst,[],[refute_0_12055:[bind(B,$fot(product(c,a))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_12057,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) != product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))))),bind(Y,$fot(product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))))),bind(Z,$fot(product(product(product(b,c),product(product(b,c),product(c,a))),c)))]]) ).

cnf(refute_0_12058,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c)))) )],[refute_0_12056,refute_0_12057]) ).

cnf(refute_0_12059,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(product(product(b,c),product(product(b,c),product(c,a))),c),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(product(c,a),product(b,c))),product(product(product(b,c),product(product(b,c),product(c,a))),c)) )],[refute_0_12051,refute_0_12058]) ).

cnf(refute_0_12060,plain,
    ( product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) != product(product(product(b,c),product(product(b,c),product(c,a))),c)
    | product(product(product(b,c),product(product(b,c),product(c,a))),c) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))))),bind(Y,$fot(product(product(product(b,c),product(product(b,c),product(c,a))),c))),bind(Z,$fot(product(difference(bigC(c,b,c),product(b,c)),c)))]]) ).

cnf(refute_0_12061,plain,
    ( product(product(product(b,c),product(product(b,c),product(c,a))),c) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),product(product(product(b,c),product(product(b,c),product(c,a))),c)) )],[refute_0_12059,refute_0_12060]) ).

cnf(refute_0_12062,plain,
    product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) = product(difference(bigC(c,b,c),product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(b,c),product(c,a))),c),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12040,refute_0_12061]) ).

cnf(refute_0_12063,plain,
    ( bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))) != product(difference(bigC(c,b,c),product(b,c)),c)
    | bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),product(difference(bigC(c,b,c),product(b,c)),c)) ),[0],$fot(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))))]]) ).

cnf(refute_0_12064,plain,
    ( bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c))),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12062,refute_0_12063]) ).

cnf(refute_0_12065,plain,
    ( difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))) != product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))
    | bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_12036,refute_0_12064]) ).

cnf(refute_0_12066,plain,
    bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) = product(difference(bigC(c,b,c),product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(c,a))),product(product(b,c),product(c,a))),product(product(product(b,c),product(c,a)),product(product(product(b,c),product(c,a)),product(b,c)))) )],[refute_0_12001,refute_0_12065]) ).

cnf(refute_0_12067,plain,
    ( bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) != product(difference(bigC(c,b,c),product(b,c)),c)
    | difference(product(product(b,c),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) != product(product(product(b,c),product(c,a)),product(b,c))
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = product(product(product(b,c),product(c,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))),product(product(product(b,c),product(c,a)),product(b,c))) ),[0,1],$fot(product(difference(bigC(c,b,c),product(b,c)),c))]]) ).

cnf(refute_0_12068,plain,
    ( difference(product(product(b,c),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) != product(product(product(b,c),product(c,a)),product(b,c))
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = product(product(product(b,c),product(c,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12066,refute_0_12067]) ).

cnf(refute_0_12069,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = product(product(product(b,c),product(c,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))),product(product(product(b,c),product(c,a)),product(b,c))) )],[refute_0_11993,refute_0_12068]) ).

cnf(refute_0_12070,plain,
    ( difference(bigC(c,a,c),c) != product(bigC(b,b,c),bigC(c,a,c))
    | product(bigC(b,b,c),bigC(c,a,c)) = difference(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(c,a,c),c))),bind(Y,$fot(product(bigC(b,b,c),bigC(c,a,c))))]]) ).

cnf(refute_0_12071,plain,
    product(bigC(b,b,c),bigC(c,a,c)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_2879,refute_0_12070]) ).

cnf(refute_0_12072,plain,
    product(bigC(b,c,b),bigC(c,a,c)) = product(bigC(b,c,b),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,b),bigC(c,a,c)))]]) ).

cnf(refute_0_12073,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),bigC(c,a,c)) != product(bigC(b,c,b),bigC(c,a,c))
    | product(bigC(b,c,b),bigC(c,a,c)) = product(bigC(b,b,c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,b),bigC(c,a,c)),product(bigC(b,c,b),bigC(c,a,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_12074,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),bigC(c,a,c)) = product(bigC(b,b,c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),bigC(c,a,c)),product(bigC(b,c,b),bigC(c,a,c))) )],[refute_0_12072,refute_0_12073]) ).

cnf(refute_0_12075,plain,
    product(bigC(b,c,b),bigC(c,a,c)) = product(bigC(b,b,c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1082,refute_0_12074]) ).

cnf(refute_0_12076,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),c)
    | product(bigC(b,c,b),bigC(c,a,c)) != product(bigC(b,b,c),bigC(c,a,c))
    | product(bigC(b,c,b),bigC(c,a,c)) = difference(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,b),bigC(c,a,c)))),bind(Y,$fot(product(bigC(b,b,c),bigC(c,a,c)))),bind(Z,$fot(difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12077,plain,
    ( product(bigC(b,b,c),bigC(c,a,c)) != difference(bigC(c,a,c),c)
    | product(bigC(b,c,b),bigC(c,a,c)) = difference(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),bigC(c,a,c)),product(bigC(b,b,c),bigC(c,a,c))) )],[refute_0_12075,refute_0_12076]) ).

cnf(refute_0_12078,plain,
    product(bigC(b,c,b),bigC(c,a,c)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,a,c)),difference(bigC(c,a,c),c)) )],[refute_0_12071,refute_0_12077]) ).

cnf(refute_0_12079,plain,
    product(bigC(b,c,b),product(product(c,a),c)) = product(bigC(b,c,b),bigC(c,a,c)),
    inference(subst,[],[refute_0_177:[bind(X_23,$fot(b)),bind(X_24,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_12080,plain,
    product(product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,c,b),product(product(c,a),c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(b)),bind(X_25,$fot(product(c,a))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12081,plain,
    ( product(bigC(b,c,b),product(product(c,a),c)) != product(bigC(b,c,b),bigC(c,a,c))
    | product(product(product(b,c),product(c,a)),product(b,c)) != product(bigC(b,c,b),product(product(c,a),c))
    | product(product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,c,b),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),product(product(c,a),c)))),bind(Z,$fot(product(bigC(b,c,b),bigC(c,a,c))))]]) ).

cnf(refute_0_12082,plain,
    ( product(bigC(b,c,b),product(product(c,a),c)) != product(bigC(b,c,b),bigC(c,a,c))
    | product(product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,c,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(b,c)),product(bigC(b,c,b),product(product(c,a),c))) )],[refute_0_12080,refute_0_12081]) ).

cnf(refute_0_12083,plain,
    product(product(product(b,c),product(c,a)),product(b,c)) = product(bigC(b,c,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(product(c,a),c)),product(bigC(b,c,b),bigC(c,a,c))) )],[refute_0_12079,refute_0_12082]) ).

cnf(refute_0_12084,plain,
    ( product(bigC(b,c,b),bigC(c,a,c)) != difference(bigC(c,a,c),c)
    | product(product(product(b,c),product(c,a)),product(b,c)) != product(bigC(b,c,b),bigC(c,a,c))
    | product(product(product(b,c),product(c,a)),product(b,c)) = difference(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),bigC(c,a,c)))),bind(Z,$fot(difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12085,plain,
    ( product(bigC(b,c,b),bigC(c,a,c)) != difference(bigC(c,a,c),c)
    | product(product(product(b,c),product(c,a)),product(b,c)) = difference(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(b,c)),product(bigC(b,c,b),bigC(c,a,c))) )],[refute_0_12083,refute_0_12084]) ).

cnf(refute_0_12086,plain,
    product(product(product(b,c),product(c,a)),product(b,c)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),bigC(c,a,c)),difference(bigC(c,a,c),c)) )],[refute_0_12078,refute_0_12085]) ).

cnf(refute_0_12087,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != product(product(product(b,c),product(c,a)),product(b,c))
    | product(product(product(b,c),product(c,a)),product(b,c)) != difference(bigC(c,a,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(bigC(c,a,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(bigC(c,a,c),c)) ),[0],$fot(product(product(product(b,c),product(c,a)),product(b,c)))]]) ).

cnf(refute_0_12088,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != product(product(product(b,c),product(c,a)),product(b,c))
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(b,c)),difference(bigC(c,a,c),c)) )],[refute_0_12086,refute_0_12087]) ).

cnf(refute_0_12089,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),product(product(product(b,c),product(c,a)),product(b,c))) )],[refute_0_12069,refute_0_12088]) ).

cnf(refute_0_12090,plain,
    product(difference(bigC(c,b,c),product(b,c)),c) = product(difference(bigC(c,b,c),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(difference(bigC(c,b,c),product(b,c)),c))]]) ).

cnf(refute_0_12091,plain,
    ( difference(bigC(c,b,c),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | product(difference(bigC(c,b,c),product(b,c)),c) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(difference(bigC(c,b,c),product(b,c)),c) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),c),product(difference(bigC(c,b,c),product(b,c)),c)) ),[1,0],$fot(difference(bigC(b,a,b),product(b,c)))]]) ).

cnf(refute_0_12092,plain,
    ( difference(bigC(c,b,c),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | product(difference(bigC(c,b,c),product(b,c)),c) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),c),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12090,refute_0_12091]) ).

cnf(refute_0_12093,plain,
    product(difference(bigC(c,b,c),product(b,c)),c) = product(difference(bigC(b,a,b),product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),difference(bigC(b,a,b),product(b,c))) )],[refute_0_5530,refute_0_12092]) ).

cnf(refute_0_12094,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)))]]) ).

cnf(refute_0_12095,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c))
    | product(difference(bigC(c,b,c),product(b,c)),c) != product(difference(bigC(b,a,b),product(b,c)),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c))) ),[1,1],$fot(product(difference(bigC(b,a,b),product(b,c)),c))]]) ).

cnf(refute_0_12096,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),c) != product(difference(bigC(b,a,b),product(b,c)),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c))) )],[refute_0_12094,refute_0_12095]) ).

cnf(refute_0_12097,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),c),product(difference(bigC(b,a,b),product(b,c)),c)) )],[refute_0_12093,refute_0_12096]) ).

cnf(refute_0_12098,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != difference(bigC(c,a,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c))
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(bigC(c,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(bigC(c,a,c),c)) ),[0],$fot(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)))]]) ).

cnf(refute_0_12099,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) != difference(bigC(c,a,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c))) )],[refute_0_12097,refute_0_12098]) ).

cnf(refute_0_12100,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)),difference(bigC(c,a,c),c)) )],[refute_0_12089,refute_0_12099]) ).

cnf(refute_0_12101,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != difference(bigC(c,a,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),difference(bigC(c,a,c),c)) ),[1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_12102,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != difference(bigC(c,a,c),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_12101]) ).

cnf(refute_0_12103,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),difference(bigC(c,a,c),c)) )],[refute_0_12100,refute_0_12102]) ).

cnf(refute_0_12104,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),
    inference(subst,[],[refute_0_121:[bind(A,$fot(product(b,c))),bind(B,$fot(product(product(b,c),product(c,a)))),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_12105,plain,
    ( bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))) != product(difference(bigC(c,b,c),product(b,c)),c)
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) ),[1],$fot(product(difference(bigC(c,b,c),product(b,c)),c))]]) ).

cnf(refute_0_12106,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),product(product(b,c),product(c,a))),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12066,refute_0_12105]) ).

cnf(refute_0_12107,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = product(difference(bigC(c,b,c),product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),bigC(product(b,c),product(c,a),product(product(b,c),product(c,a)))) )],[refute_0_12104,refute_0_12106]) ).

cnf(refute_0_12108,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(difference(bigC(c,b,c),product(b,c)),product(b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(difference(bigC(c,b,c),product(b,c)))),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_12109,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(difference(bigC(c,b,c),product(b,c)),product(b,c)))
    | product(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))),product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(difference(bigC(c,b,c),product(b,c)),product(b,c)))) ),[1,1],$fot(product(product(b,c),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12110,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(difference(bigC(c,b,c),product(b,c)),product(b,c)))
    | product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8933,refute_0_12109]) ).

cnf(refute_0_12111,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))),product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(difference(bigC(c,b,c),product(b,c)),product(b,c)))) )],[refute_0_12108,refute_0_12110]) ).

cnf(refute_0_12112,plain,
    product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) = bigC(product(b,c),product(product(b,c),product(c,a)),X_25),
    inference(subst,[],[refute_0_12047:[bind(C,$fot(X_25))]]) ).

cnf(refute_0_12113,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) != bigC(product(b,c),product(product(b,c),product(c,a)),X_25)
    | product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))),product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))) ),[0],$fot(bigC(product(b,c),product(product(b,c),product(c,a)),X_25))]]) ).

cnf(refute_0_12114,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))),bigC(product(b,c),product(product(b,c),product(c,a)),X_25)) )],[refute_0_12112,refute_0_12113]) ).

cnf(refute_0_12115,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(X_25,product(b,c))),product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))) )],[refute_0_12111,refute_0_12114]) ).

cnf(refute_0_12116,plain,
    product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(product(b,c))),bind(X_24,$fot(X_25)),bind(X_26,$fot(difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12117,plain,
    product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) = product(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(difference(bigC(c,b,c),product(b,c)))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_12118,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),product(b,c)) != product(product(b,c),difference(bigC(c,a,c),c))
    | product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) != product(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(B,D))
    | product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) = product(product(product(b,c),difference(bigC(c,a,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)),product(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(B,D))) ),[1,0],$fot(product(product(b,c),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12119,plain,
    ( product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) != product(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(B,D))
    | product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) = product(product(product(b,c),difference(bigC(c,a,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(product(b,c),difference(bigC(c,a,c),c))) )],[refute_0_8933,refute_0_12118]) ).

cnf(refute_0_12120,plain,
    product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)) = product(product(product(b,c),difference(bigC(c,a,c),c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,b,c),product(b,c)),B),product(product(b,c),D)),product(product(difference(bigC(c,b,c),product(b,c)),product(b,c)),product(B,D))) )],[refute_0_12117,refute_0_12119]) ).

cnf(refute_0_12121,plain,
    product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) = product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))),
    inference(subst,[],[refute_0_12120:[bind(B,$fot(X_25)),bind(D,$fot(difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12122,plain,
    ( product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) != product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c)))
    | product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))) != product(product(product(b,c),X_25),difference(bigC(c,a,c),c))
    | product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))))),bind(Y,$fot(product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))))),bind(Z,$fot(product(product(product(b,c),X_25),difference(bigC(c,a,c),c))))]]) ).

cnf(refute_0_12123,plain,
    ( product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))) != product(product(product(b,c),X_25),difference(bigC(c,a,c),c))
    | product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))),product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c)))) )],[refute_0_12121,refute_0_12122]) ).

cnf(refute_0_12124,plain,
    product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(bigC(c,a,c),c)),product(X_25,difference(bigC(c,a,c),c))),product(product(product(b,c),X_25),difference(bigC(c,a,c),c))) )],[refute_0_12116,refute_0_12123]) ).

cnf(refute_0_12125,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),X_25) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))
    | product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))) != product(product(product(b,c),X_25),difference(bigC(c,a,c),c))
    | bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(product(b,c),product(c,a)),X_25),product(product(product(b,c),X_25),difference(bigC(c,a,c),c))) ),[0],$fot(product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))))]]) ).

cnf(refute_0_12126,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),X_25) != product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))
    | bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c))),product(product(product(b,c),X_25),difference(bigC(c,a,c),c))) )],[refute_0_12124,refute_0_12125]) ).

cnf(refute_0_12127,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),X_25) = product(product(product(b,c),X_25),difference(bigC(c,a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),X_25),product(product(difference(bigC(c,b,c),product(b,c)),X_25),product(product(b,c),difference(bigC(c,a,c),c)))) )],[refute_0_12115,refute_0_12126]) ).

cnf(refute_0_12128,plain,
    bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) = product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),
    inference(subst,[],[refute_0_12127:[bind(X_25,$fot(product(c,a)))]]) ).

cnf(refute_0_12129,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != product(difference(bigC(c,b,c),product(b,c)),c)
    | bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c))
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) ),[0],$fot(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12130,plain,
    ( bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c))) )],[refute_0_12128,refute_0_12129]) ).

cnf(refute_0_12131,plain,
    product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(c,b,c),product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(product(b,c),product(c,a)),product(c,a)),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12107,refute_0_12130]) ).

cnf(refute_0_12132,plain,
    ( product(difference(bigC(c,b,c),product(b,c)),c) != product(difference(bigC(b,a,b),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(difference(bigC(c,b,c),product(b,c)),c)) ),[1],$fot(product(difference(bigC(b,a,b),product(b,c)),c))]]) ).

cnf(refute_0_12133,plain,
    ( product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(difference(bigC(c,b,c),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,b,c),product(b,c)),c),product(difference(bigC(b,a,b),product(b,c)),c)) )],[refute_0_12093,refute_0_12132]) ).

cnf(refute_0_12134,plain,
    product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(difference(bigC(b,a,b),product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(difference(bigC(c,b,c),product(b,c)),c)) )],[refute_0_12131,refute_0_12133]) ).

cnf(refute_0_12135,plain,
    product(product(b,c),product(product(c,a),c)) = product(product(b,product(c,a)),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(b)),bind(X_24,$fot(product(c,a))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12136,plain,
    product(product(b,product(c,c)),product(product(c,a),c)) = product(product(b,c),product(product(c,a),c)),
    inference(subst,[],[refute_0_1505:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(a)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_12137,plain,
    ( product(product(b,c),product(product(c,a),c)) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,c)),product(product(c,a),c)) != product(product(b,c),product(product(c,a),c))
    | product(product(b,product(c,c)),product(product(c,a),c)) = product(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(c,c)),product(product(c,a),c)))),bind(Y,$fot(product(product(b,c),product(product(c,a),c)))),bind(Z,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12138,plain,
    ( product(product(b,c),product(product(c,a),c)) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,c)),product(product(c,a),c)) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,c)),product(product(c,a),c)),product(product(b,c),product(product(c,a),c))) )],[refute_0_12136,refute_0_12137]) ).

cnf(refute_0_12139,plain,
    product(product(b,product(c,c)),product(product(c,a),c)) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,a),c)),product(product(b,product(c,a)),c)) )],[refute_0_12135,refute_0_12138]) ).

cnf(refute_0_12140,plain,
    product(product(product(b,c),product(c,a)),product(product(b,c),c)) = product(product(b,product(c,c)),product(product(c,a),c)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(product(c,a))),bind(D,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(c)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_12141,plain,
    ( product(product(b,product(c,c)),product(product(c,a),c)) != product(product(b,product(c,a)),c)
    | product(product(product(b,c),product(c,a)),product(product(b,c),c)) != product(product(b,product(c,c)),product(product(c,a),c))
    | product(product(product(b,c),product(c,a)),product(product(b,c),c)) = product(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(product(b,c),c)))),bind(Y,$fot(product(product(b,product(c,c)),product(product(c,a),c)))),bind(Z,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12142,plain,
    ( product(product(b,product(c,c)),product(product(c,a),c)) != product(product(b,product(c,a)),c)
    | product(product(product(b,c),product(c,a)),product(product(b,c),c)) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(b,c),c)),product(product(b,product(c,c)),product(product(c,a),c))) )],[refute_0_12140,refute_0_12141]) ).

cnf(refute_0_12143,plain,
    product(product(product(b,c),product(c,a)),product(product(b,c),c)) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,c)),product(product(c,a),c)),product(product(b,product(c,a)),c)) )],[refute_0_12139,refute_0_12142]) ).

cnf(refute_0_12144,plain,
    product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)))]]) ).

cnf(refute_0_12145,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c))
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(product(b,c),product(c,a)),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_12146,plain,
    ( difference(bigC(c,a,c),c) != product(product(b,c),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(product(b,c),product(c,a)),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c))) )],[refute_0_12144,refute_0_12145]) ).

cnf(refute_0_12147,plain,
    product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(product(b,c),product(c,a)),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),c),product(product(b,c),c)) )],[refute_0_2915,refute_0_12146]) ).

cnf(refute_0_12148,plain,
    ( product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(product(product(b,c),product(c,a)),product(product(b,c),c))
    | product(product(product(b,c),product(c,a)),product(product(b,c),c)) != product(product(b,product(c,a)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)))),bind(Y,$fot(product(product(product(b,c),product(c,a)),product(product(b,c),c)))),bind(Z,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12149,plain,
    ( product(product(product(b,c),product(c,a)),product(product(b,c),c)) != product(product(b,product(c,a)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(product(product(b,c),product(c,a)),product(product(b,c),c))) )],[refute_0_12147,refute_0_12148]) ).

cnf(refute_0_12150,plain,
    product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(product(b,c),c)),product(product(b,product(c,a)),c)) )],[refute_0_12143,refute_0_12149]) ).

cnf(refute_0_12151,plain,
    ( product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(difference(bigC(b,a,b),product(b,c)),c)
    | product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,a)),c) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(difference(bigC(b,a,b),product(b,c)),c)) ),[0],$fot(product(product(b,product(c,a)),c))]]) ).

cnf(refute_0_12152,plain,
    ( product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)) != product(difference(bigC(b,a,b),product(b,c)),c)
    | product(product(b,product(c,a)),c) = product(difference(bigC(b,a,b),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(product(b,product(c,a)),c)) )],[refute_0_12150,refute_0_12151]) ).

cnf(refute_0_12153,plain,
    product(product(b,product(c,a)),c) = product(difference(bigC(b,a,b),product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),difference(bigC(c,a,c),c)),product(difference(bigC(b,a,b),product(b,c)),c)) )],[refute_0_12134,refute_0_12152]) ).

cnf(refute_0_12154,plain,
    ( product(product(b,product(c,a)),c) != product(difference(bigC(b,a,b),product(b,c)),c)
    | product(difference(bigC(b,a,b),product(b,c)),c) = product(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(b,product(c,a)),c))),bind(Y,$fot(product(difference(bigC(b,a,b),product(b,c)),c)))]]) ).

cnf(refute_0_12155,plain,
    product(difference(bigC(b,a,b),product(b,c)),c) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),c),product(difference(bigC(b,a,b),product(b,c)),c)) )],[refute_0_12153,refute_0_12154]) ).

cnf(refute_0_12156,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)))]]) ).

cnf(refute_0_12157,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c))
    | product(difference(bigC(b,a,b),product(b,c)),c) != product(product(b,product(c,a)),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c))) ),[1,1],$fot(product(product(b,product(c,a)),c))]]) ).

cnf(refute_0_12158,plain,
    ( product(difference(bigC(b,a,b),product(b,c)),c) != product(product(b,product(c,a)),c)
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c))) )],[refute_0_12156,refute_0_12157]) ).

cnf(refute_0_12159,plain,
    difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) = difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(b,a,b),product(b,c)),c),product(product(b,product(c,a)),c)) )],[refute_0_12155,refute_0_12158]) ).

cnf(refute_0_12160,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c))
    | difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != product(product(b,c),c)
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),product(product(b,c),c)) ),[0],$fot(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12161,plain,
    ( difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)) != product(product(b,c),c)
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c))) )],[refute_0_12159,refute_0_12160]) ).

cnf(refute_0_12162,plain,
    difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(difference(bigC(b,a,b),product(b,c)),c)),product(product(b,c),c)) )],[refute_0_12103,refute_0_12161]) ).

cnf(refute_0_12163,plain,
    ( difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != product(product(b,c),c)
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),product(b,product(a,c))) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_12164,plain,
    ( difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != product(product(b,c),c)
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_12163]) ).

cnf(refute_0_12165,plain,
    difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),product(product(b,c),c)) )],[refute_0_12162,refute_0_12164]) ).

cnf(refute_0_12166,plain,
    difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12167,plain,
    ( difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c))
    | product(product(b,c),product(c,a)) != product(b,a)
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = difference(product(b,a),product(product(b,product(c,a)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12168,plain,
    ( product(product(b,c),product(c,a)) != product(b,a)
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = difference(product(b,a),product(product(b,product(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c))) )],[refute_0_12166,refute_0_12167]) ).

cnf(refute_0_12169,plain,
    difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) = difference(product(b,a),product(product(b,product(c,a)),c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,a)),product(b,a)) )],[refute_0_5559,refute_0_12168]) ).

cnf(refute_0_12170,plain,
    ( difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != difference(product(b,a),product(product(b,product(c,a)),c))
    | difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != product(b,product(a,c))
    | difference(product(b,a),product(product(b,product(c,a)),c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),product(b,product(a,c))) ),[0],$fot(difference(product(b,a),product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12171,plain,
    ( difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)) != product(b,product(a,c))
    | difference(product(b,a),product(product(b,product(c,a)),c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),difference(product(b,a),product(product(b,product(c,a)),c))) )],[refute_0_12169,refute_0_12170]) ).

cnf(refute_0_12172,plain,
    difference(product(b,a),product(product(b,product(c,a)),c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(c,a)),product(product(b,product(c,a)),c)),product(b,product(a,c))) )],[refute_0_12165,refute_0_12171]) ).

cnf(refute_0_12173,plain,
    ( difference(product(b,a),product(product(b,product(c,a)),c)) != product(b,product(a,c))
    | product(product(b,a),difference(product(b,a),product(product(b,product(c,a)),c))) != product(product(b,product(c,a)),c)
    | product(product(b,a),product(b,product(a,c))) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(product(b,product(c,a)),c))),product(product(b,product(c,a)),c)) ),[0,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12174,plain,
    ( product(product(b,a),difference(product(b,a),product(product(b,product(c,a)),c))) != product(product(b,product(c,a)),c)
    | product(product(b,a),product(b,product(a,c))) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,product(c,a)),c)),product(b,product(a,c))) )],[refute_0_12172,refute_0_12173]) ).

cnf(refute_0_12175,plain,
    product(product(b,a),product(b,product(a,c))) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(product(b,product(c,a)),c))),product(product(b,product(c,a)),c)) )],[refute_0_11992,refute_0_12174]) ).

cnf(refute_0_12176,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,a),product(b,product(a,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( $equal(product(product(b,a),product(b,product(a,c))),product(product(b,product(c,a)),c)) ),[0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_12177,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(product(b,product(c,a)),c)
    | product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_11415,refute_0_12176]) ).

cnf(refute_0_12178,plain,
    product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(a,c))),product(product(b,product(c,a)),c)) )],[refute_0_12175,refute_0_12177]) ).

cnf(refute_0_12179,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_16:[bind(X,$fot(product(b,product(a,product(a,c))))),bind(Y,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_12180,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_12178,refute_0_12179]) ).

cnf(refute_0_12181,plain,
    ( difference(product(bigC(a,a,c),c),c) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,a)),c) != product(b,product(a,product(a,c)))
    | difference(product(bigC(a,a,c),c),c) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) ),[0],$fot(product(product(b,product(c,a)),c))]]) ).

cnf(refute_0_12182,plain,
    ( difference(product(bigC(a,a,c),c),c) != product(product(b,product(c,a)),c)
    | difference(product(bigC(a,a,c),c),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_12180,refute_0_12181]) ).

cnf(refute_0_12183,plain,
    difference(product(bigC(a,a,c),c),c) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),c),c),product(product(b,product(c,a)),c)) )],[refute_0_11991,refute_0_12182]) ).

cnf(refute_0_12184,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),c)) != product(difference(product(bigC(a,a,c),c),c),c)
    | difference(product(bigC(a,a,c),c),c) != product(b,product(a,product(a,c)))
    | bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(difference(product(bigC(a,a,c),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),c)),product(difference(product(bigC(a,a,c),c),c),c)) ),[0,2],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_12185,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),c)) != product(difference(product(bigC(a,a,c),c),c),c)
    | bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(difference(product(bigC(a,a,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) )],[refute_0_12183,refute_0_12184]) ).

cnf(refute_0_12186,plain,
    bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(difference(product(bigC(a,a,c),c),c),c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),c)),product(difference(product(bigC(a,a,c),c),c),c)) )],[refute_0_11896,refute_0_12185]) ).

cnf(refute_0_12187,plain,
    product(product(a,a),product(a,c)) = product(a,product(a,c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12188,plain,
    product(b,product(product(a,a),product(a,c))) = product(b,product(product(a,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(b,product(product(a,a),product(a,c))))]]) ).

cnf(refute_0_12189,plain,
    ( product(b,product(product(a,a),product(a,c))) != product(b,product(product(a,a),product(a,c)))
    | product(product(a,a),product(a,c)) != product(a,product(a,c))
    | product(b,product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(a,a),product(a,c))),product(b,product(product(a,a),product(a,c)))) ),[1,1],$fot(product(a,product(a,c)))]]) ).

cnf(refute_0_12190,plain,
    ( product(product(a,a),product(a,c)) != product(a,product(a,c))
    | product(b,product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,a),product(a,c))),product(b,product(product(a,a),product(a,c)))) )],[refute_0_12188,refute_0_12189]) ).

cnf(refute_0_12191,plain,
    product(b,product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(a,c)),product(a,product(a,c))) )],[refute_0_12187,refute_0_12190]) ).

cnf(refute_0_12192,plain,
    product(product(b,b),product(product(a,a),product(a,c))) = product(product(b,b),product(product(a,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(product(a,a),product(a,c))))]]) ).

cnf(refute_0_12193,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(a,a),product(a,c))) != product(product(b,b),product(product(a,a),product(a,c)))
    | product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(product(a,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(product(a,a),product(a,c))),product(product(b,b),product(product(a,a),product(a,c)))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_12194,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(product(a,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,a),product(a,c))),product(product(b,b),product(product(a,a),product(a,c)))) )],[refute_0_12192,refute_0_12193]) ).

cnf(refute_0_12195,plain,
    product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(product(a,a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_12194]) ).

cnf(refute_0_12196,plain,
    ( product(b,product(product(a,a),product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,b),product(product(a,a),product(a,c))) != product(b,product(product(a,a),product(a,c)))
    | product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,b),product(product(a,a),product(a,c))))),bind(Y,$fot(product(b,product(product(a,a),product(a,c))))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_12197,plain,
    ( product(b,product(product(a,a),product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,a),product(a,c))),product(b,product(product(a,a),product(a,c)))) )],[refute_0_12195,refute_0_12196]) ).

cnf(refute_0_12198,plain,
    product(product(b,b),product(product(a,a),product(a,c))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,a),product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_12191,refute_0_12197]) ).

cnf(refute_0_12199,plain,
    product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) = product(product(b,b),product(product(a,a),product(a,c))),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(b)),bind(C,$fot(b)),bind(X_96,$fot(a)),bind(X_97,$fot(a)),bind(X_98,$fot(product(a,c)))]]) ).

cnf(refute_0_12200,plain,
    ( product(product(b,b),product(product(a,a),product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) != product(product(b,b),product(product(a,a),product(a,c)))
    | product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))))),bind(Y,$fot(product(product(b,b),product(product(a,a),product(a,c))))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_12201,plain,
    ( product(product(b,b),product(product(a,a),product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))),product(product(b,b),product(product(a,a),product(a,c)))) )],[refute_0_12199,refute_0_12200]) ).

cnf(refute_0_12202,plain,
    product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,a),product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_12198,refute_0_12201]) ).

cnf(refute_0_12203,plain,
    product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_12204,plain,
    ( difference(product(bigC(a,a,c),c),c) != product(b,product(a,product(a,c)))
    | product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) != product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c))))
    | product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c))))) ),[1,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_12205,plain,
    ( difference(product(bigC(a,a,c),c),c) != product(b,product(a,product(a,c)))
    | product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c))))) )],[refute_0_12203,refute_0_12204]) ).

cnf(refute_0_12206,plain,
    product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) )],[refute_0_12183,refute_0_12205]) ).

cnf(refute_0_12207,plain,
    ( product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) != product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c))))
    | product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) != product(b,product(a,product(a,c)))
    | product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))))),bind(Y,$fot(product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_12208,plain,
    ( product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))) != product(b,product(a,product(a,c)))
    | product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c))))) )],[refute_0_12206,refute_0_12207]) ).

cnf(refute_0_12209,plain,
    product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(a,c))),product(b,product(a,product(a,c)))),product(b,product(a,product(a,c)))) )],[refute_0_12202,refute_0_12208]) ).

cnf(refute_0_12210,plain,
    product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) = product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c),
    introduced(tautology,[refl,[$fot(product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c))]]) ).

cnf(refute_0_12211,plain,
    ( product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) != product(b,product(a,product(a,c)))
    | product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) != product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c)
    | product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) = product(product(b,product(a,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c),product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c)) ),[1,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_12212,plain,
    ( product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))) != product(b,product(a,product(a,c)))
    | product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c),product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c)) )],[refute_0_12210,refute_0_12211]) ).

cnf(refute_0_12213,plain,
    product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),product(b,product(a,product(a,c)))) )],[refute_0_12209,refute_0_12212]) ).

cnf(refute_0_12214,plain,
    bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c),
    inference(subst,[],[refute_0_1419:[bind(B,$fot(product(bigC(a,a,c),c))),bind(C,$fot(product(b,product(a,product(a,c))))),bind(X_70,$fot(c))]]) ).

cnf(refute_0_12215,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) != product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c)
    | product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) != product(product(b,product(a,product(a,c))),c)
    | bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))))),bind(Y,$fot(product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c))),bind(Z,$fot(product(product(b,product(a,product(a,c))),c)))]]) ).

cnf(refute_0_12216,plain,
    ( product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c) != product(product(b,product(a,product(a,c))),c)
    | bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))),product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c)) )],[refute_0_12214,refute_0_12215]) ).

cnf(refute_0_12217,plain,
    bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(product(product(difference(product(bigC(a,a,c),c),c),product(b,product(a,product(a,c)))),c),product(product(b,product(a,product(a,c))),c)) )],[refute_0_12213,refute_0_12216]) ).

cnf(refute_0_12218,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) != product(difference(product(bigC(a,a,c),c),c),c)
    | bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) != product(product(b,product(a,product(a,c))),c)
    | product(product(b,product(a,product(a,c))),c) = product(difference(product(bigC(a,a,c),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))),product(difference(product(bigC(a,a,c),c),c),c)) ),[0],$fot(product(product(b,product(a,product(a,c))),c))]]) ).

cnf(refute_0_12219,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) != product(difference(product(bigC(a,a,c),c),c),c)
    | product(product(b,product(a,product(a,c))),c) = product(difference(product(bigC(a,a,c),c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))),product(product(b,product(a,product(a,c))),c)) )],[refute_0_12217,refute_0_12218]) ).

cnf(refute_0_12220,plain,
    bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(product(X_17,product(X_17,quotient(X_56,X_17))),X_17),
    inference(subst,[],[refute_0_50:[bind(X_18,$fot(product(X_17,quotient(X_56,X_17))))]]) ).

cnf(refute_0_12221,plain,
    difference(product(X_56,X_17),X_17) = product(X_17,product(X_17,quotient(X_56,X_17))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(X_56)),bind(X_30,$fot(X_17))]]) ).

cnf(refute_0_12222,plain,
    ( difference(product(X_56,X_17),X_17) != product(X_17,product(X_17,quotient(X_56,X_17)))
    | product(X_17,product(X_17,quotient(X_56,X_17))) = difference(product(X_56,X_17),X_17) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(X_56,X_17),X_17))),bind(Y,$fot(product(X_17,product(X_17,quotient(X_56,X_17)))))]]) ).

cnf(refute_0_12223,plain,
    product(X_17,product(X_17,quotient(X_56,X_17))) = difference(product(X_56,X_17),X_17),
    inference(resolve,[$cnf( $equal(difference(product(X_56,X_17),X_17),product(X_17,product(X_17,quotient(X_56,X_17)))) )],[refute_0_12221,refute_0_12222]) ).

cnf(refute_0_12224,plain,
    ( bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != product(product(X_17,product(X_17,quotient(X_56,X_17))),X_17)
    | product(X_17,product(X_17,quotient(X_56,X_17))) != difference(product(X_56,X_17),X_17)
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(difference(product(X_56,X_17),X_17),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),product(product(X_17,product(X_17,quotient(X_56,X_17))),X_17)) ),[1,0],$fot(difference(product(X_56,X_17),X_17))]]) ).

cnf(refute_0_12225,plain,
    ( bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != product(product(X_17,product(X_17,quotient(X_56,X_17))),X_17)
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(difference(product(X_56,X_17),X_17),X_17) ),
    inference(resolve,[$cnf( $equal(product(X_17,product(X_17,quotient(X_56,X_17))),difference(product(X_56,X_17),X_17)) )],[refute_0_12223,refute_0_12224]) ).

cnf(refute_0_12226,plain,
    bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(difference(product(X_56,X_17),X_17),X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),product(product(X_17,product(X_17,quotient(X_56,X_17))),X_17)) )],[refute_0_12220,refute_0_12225]) ).

cnf(refute_0_12227,plain,
    bigC(X_17,X_18,quotient(product(X_17,X_55),X_17)) = product(product(X_17,X_18),product(X_17,X_55)),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(X_17,X_55)))]]) ).

cnf(refute_0_12228,plain,
    quotient(product(X_17,X_55),X_17) = product(X_17,quotient(X_55,X_17)),
    inference(subst,[],[refute_0_272:[bind(B,$fot(X_17)),bind(X_44,$fot(X_55))]]) ).

cnf(refute_0_12229,plain,
    ( bigC(X_17,X_18,quotient(product(X_17,X_55),X_17)) != product(product(X_17,X_18),product(X_17,X_55))
    | quotient(product(X_17,X_55),X_17) != product(X_17,quotient(X_55,X_17))
    | bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(product(X_17,X_18),product(X_17,X_55)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,X_18,quotient(product(X_17,X_55),X_17)),product(product(X_17,X_18),product(X_17,X_55))) ),[0,2],$fot(product(X_17,quotient(X_55,X_17)))]]) ).

cnf(refute_0_12230,plain,
    ( bigC(X_17,X_18,quotient(product(X_17,X_55),X_17)) != product(product(X_17,X_18),product(X_17,X_55))
    | bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(product(X_17,X_18),product(X_17,X_55)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_17,X_55),X_17),product(X_17,quotient(X_55,X_17))) )],[refute_0_12228,refute_0_12229]) ).

cnf(refute_0_12231,plain,
    bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(product(X_17,X_18),product(X_17,X_55)),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,quotient(product(X_17,X_55),X_17)),product(product(X_17,X_18),product(X_17,X_55))) )],[refute_0_12227,refute_0_12230]) ).

cnf(refute_0_12232,plain,
    product(product(X_17,X_18),product(X_17,X_55)) = product(X_17,product(X_18,X_55)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(X_17)),bind(X_25,$fot(X_18)),bind(X_26,$fot(X_55))]]) ).

cnf(refute_0_12233,plain,
    ( bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) != product(product(X_17,X_18),product(X_17,X_55))
    | product(product(X_17,X_18),product(X_17,X_55)) != product(X_17,product(X_18,X_55))
    | bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(X_17,product(X_18,X_55)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))),product(X_17,product(X_18,X_55))) ),[0],$fot(product(product(X_17,X_18),product(X_17,X_55)))]]) ).

cnf(refute_0_12234,plain,
    ( bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) != product(product(X_17,X_18),product(X_17,X_55))
    | bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(X_17,product(X_18,X_55)) ),
    inference(resolve,[$cnf( $equal(product(product(X_17,X_18),product(X_17,X_55)),product(X_17,product(X_18,X_55))) )],[refute_0_12232,refute_0_12233]) ).

cnf(refute_0_12235,plain,
    bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))) = product(X_17,product(X_18,X_55)),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_18,product(X_17,quotient(X_55,X_17))),product(product(X_17,X_18),product(X_17,X_55))) )],[refute_0_12231,refute_0_12234]) ).

cnf(refute_0_12236,plain,
    bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))) = product(X_17,product(X_17,X_56)),
    inference(subst,[],[refute_0_12235:[bind(X_18,$fot(X_17)),bind(X_55,$fot(X_56))]]) ).

cnf(refute_0_12237,plain,
    bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(X_17)),bind(B,$fot(X_17)),bind(C,$fot(product(X_17,quotient(X_56,X_17))))]]) ).

cnf(refute_0_12238,plain,
    ( bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))) != product(X_17,product(X_17,X_56))
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != bigC(X_17,X_17,product(X_17,quotient(X_56,X_17)))
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(X_17,product(X_17,X_56)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17))),bind(Y,$fot(bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))))),bind(Z,$fot(product(X_17,product(X_17,X_56))))]]) ).

cnf(refute_0_12239,plain,
    ( bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))) != product(X_17,product(X_17,X_56))
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(X_17,product(X_17,X_56)) ),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),bigC(X_17,X_17,product(X_17,quotient(X_56,X_17)))) )],[refute_0_12237,refute_0_12238]) ).

cnf(refute_0_12240,plain,
    bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) = product(X_17,product(X_17,X_56)),
    inference(resolve,[$cnf( $equal(bigC(X_17,X_17,product(X_17,quotient(X_56,X_17))),product(X_17,product(X_17,X_56))) )],[refute_0_12236,refute_0_12239]) ).

cnf(refute_0_12241,plain,
    ( bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != product(X_17,product(X_17,X_56))
    | bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != product(difference(product(X_56,X_17),X_17),X_17)
    | product(X_17,product(X_17,X_56)) = product(difference(product(X_56,X_17),X_17),X_17) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),product(difference(product(X_56,X_17),X_17),X_17)) ),[0],$fot(product(X_17,product(X_17,X_56)))]]) ).

cnf(refute_0_12242,plain,
    ( bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17) != product(difference(product(X_56,X_17),X_17),X_17)
    | product(X_17,product(X_17,X_56)) = product(difference(product(X_56,X_17),X_17),X_17) ),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),product(X_17,product(X_17,X_56))) )],[refute_0_12240,refute_0_12241]) ).

cnf(refute_0_12243,plain,
    product(X_17,product(X_17,X_56)) = product(difference(product(X_56,X_17),X_17),X_17),
    inference(resolve,[$cnf( $equal(bigC(X_17,product(X_17,quotient(X_56,X_17)),X_17),product(difference(product(X_56,X_17),X_17),X_17)) )],[refute_0_12226,refute_0_12242]) ).

cnf(refute_0_12244,plain,
    ( product(X_17,product(X_17,X_56)) != product(difference(product(X_56,X_17),X_17),X_17)
    | product(difference(product(X_56,X_17),X_17),X_17) = product(X_17,product(X_17,X_56)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(X_17,product(X_17,X_56)))),bind(Y,$fot(product(difference(product(X_56,X_17),X_17),X_17)))]]) ).

cnf(refute_0_12245,plain,
    product(difference(product(X_56,X_17),X_17),X_17) = product(X_17,product(X_17,X_56)),
    inference(resolve,[$cnf( $equal(product(X_17,product(X_17,X_56)),product(difference(product(X_56,X_17),X_17),X_17)) )],[refute_0_12243,refute_0_12244]) ).

cnf(refute_0_12246,plain,
    product(difference(product(bigC(a,a,c),c),c),c) = product(c,product(c,bigC(a,a,c))),
    inference(subst,[],[refute_0_12245:[bind(X_17,$fot(c)),bind(X_56,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12247,plain,
    ( product(difference(product(bigC(a,a,c),c),c),c) != product(c,product(c,bigC(a,a,c)))
    | product(product(b,product(a,product(a,c))),c) != product(difference(product(bigC(a,a,c),c),c),c)
    | product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,product(a,c))),c),product(difference(product(bigC(a,a,c),c),c),c)) ),[1],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_12248,plain,
    ( product(product(b,product(a,product(a,c))),c) != product(difference(product(bigC(a,a,c),c),c),c)
    | product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(a,a,c),c),c),c),product(c,product(c,bigC(a,a,c)))) )],[refute_0_12246,refute_0_12247]) ).

cnf(refute_0_12249,plain,
    ( bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))) != product(difference(product(bigC(a,a,c),c),c),c)
    | product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(a,c))),c),product(difference(product(bigC(a,a,c),c),c),c)) )],[refute_0_12219,refute_0_12248]) ).

cnf(refute_0_12250,plain,
    product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(bigC(a,a,c),c),c),product(bigC(a,a,c),c),product(b,product(a,product(a,c)))),product(difference(product(bigC(a,a,c),c),c),c)) )],[refute_0_12186,refute_0_12249]) ).

cnf(refute_0_12251,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) != product(c,product(c,bigC(a,a,c)))
    | bigC(c,c,product(product(b,c),a)) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,product(product(b,c),a)),product(c,product(c,bigC(a,a,c)))) ),[0],$fot(product(product(b,product(a,product(a,c))),c))]]) ).

cnf(refute_0_12252,plain,
    ( bigC(c,c,product(product(b,c),a)) != product(product(b,product(a,product(a,c))),c)
    | bigC(c,c,product(product(b,c),a)) = 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_12250,refute_0_12251]) ).

cnf(refute_0_12253,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(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(product(b,product(a,product(a,c))),c)) )],[refute_0_11895,refute_0_12252]) ).

cnf(refute_0_12254,plain,
    bigC(c,c,product(product(b,c),a)) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(b,c),a),c),product(product(b,product(a,product(a,c))),c)) )],[refute_0_11429,refute_0_12253]) ).

cnf(refute_0_12255,plain,
    ( bigC(c,c,product(product(b,c),a)) != product(c,product(c,bigC(a,a,c)))
    | difference(product(c,c),bigC(c,c,product(product(b,c),a))) != product(product(product(b,c),a),c)
    | difference(product(c,c),product(c,product(c,bigC(a,a,c)))) = product(product(product(b,c),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,c),bigC(c,c,product(product(b,c),a))),product(product(product(b,c),a),c)) ),[0,1],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_12256,plain,
    ( difference(product(c,c),bigC(c,c,product(product(b,c),a))) != product(product(product(b,c),a),c)
    | difference(product(c,c),product(c,product(c,bigC(a,a,c)))) = product(product(product(b,c),a),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_12254,refute_0_12255]) ).

cnf(refute_0_12257,plain,
    difference(product(c,c),product(c,product(c,bigC(a,a,c)))) = product(product(product(b,c),a),c),
    inference(resolve,[$cnf( $equal(difference(product(c,c),bigC(c,c,product(product(b,c),a))),product(product(product(b,c),a),c)) )],[refute_0_11160,refute_0_12256]) ).

cnf(refute_0_12258,plain,
    difference(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67))) = product(X_65,X_67),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(X_65,X_66))),bind(B,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_12259,plain,
    ( difference(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67))) != product(X_65,X_67)
    | product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | difference(product(X_65,X_66),product(X_65,product(X_66,X_67))) = product(X_65,X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67))),product(X_65,X_67)) ),[0,1],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_12260,plain,
    ( difference(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67))) != product(X_65,X_67)
    | difference(product(X_65,X_66),product(X_65,product(X_66,X_67))) = product(X_65,X_67) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_12259]) ).

cnf(refute_0_12261,plain,
    difference(product(X_65,X_66),product(X_65,product(X_66,X_67))) = product(X_65,X_67),
    inference(resolve,[$cnf( $equal(difference(product(X_65,X_66),product(product(X_65,X_66),product(X_65,X_67))),product(X_65,X_67)) )],[refute_0_12258,refute_0_12260]) ).

cnf(refute_0_12262,plain,
    difference(product(c,c),product(c,product(c,bigC(a,a,c)))) = product(c,bigC(a,a,c)),
    inference(subst,[],[refute_0_12261:[bind(X_65,$fot(c)),bind(X_66,$fot(c)),bind(X_67,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12263,plain,
    ( difference(product(c,c),product(c,product(c,bigC(a,a,c)))) != product(c,bigC(a,a,c))
    | difference(product(c,c),product(c,product(c,bigC(a,a,c)))) != product(product(product(b,c),a),c)
    | product(c,bigC(a,a,c)) = product(product(product(b,c),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,c),product(c,product(c,bigC(a,a,c)))),product(product(product(b,c),a),c)) ),[0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_12264,plain,
    ( difference(product(c,c),product(c,product(c,bigC(a,a,c)))) != product(product(product(b,c),a),c)
    | product(c,bigC(a,a,c)) = product(product(product(b,c),a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,c),product(c,product(c,bigC(a,a,c)))),product(c,bigC(a,a,c))) )],[refute_0_12262,refute_0_12263]) ).

cnf(refute_0_12265,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),a,C) = product(product(difference(product(c,a),bigC(a,a,b)),a),product(C,difference(product(c,a),bigC(a,a,b)))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(difference(product(c,a),bigC(a,a,b)))),bind(B,$fot(a))]]) ).

cnf(refute_0_12266,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != product(product(difference(product(c,a),bigC(a,a,b)),a),product(C,difference(product(c,a),bigC(a,a,b))))
    | product(difference(product(c,a),bigC(a,a,b)),a) != product(c,a)
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),product(product(difference(product(c,a),bigC(a,a,b)),a),product(C,difference(product(c,a),bigC(a,a,b))))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_12267,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != product(product(difference(product(c,a),bigC(a,a,b)),a),product(C,difference(product(c,a),bigC(a,a,b))))
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),a),product(c,a)) )],[refute_0_11068,refute_0_12266]) ).

cnf(refute_0_12268,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),a,C) = product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),product(product(difference(product(c,a),bigC(a,a,b)),a),product(C,difference(product(c,a),bigC(a,a,b))))) )],[refute_0_12265,refute_0_12267]) ).

cnf(refute_0_12269,plain,
    product(product(product(c,a),C),bigC(a,a,b)) = bigC(a,C,c),
    inference(subst,[],[refute_0_11040:[bind(X_18,$fot(C))]]) ).

cnf(refute_0_12270,plain,
    product(X_65,product(X_66,difference(X_65,B))) = product(product(X_65,X_66),product(X_65,difference(X_65,B))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(X_65)),bind(X_25,$fot(X_66)),bind(X_26,$fot(difference(X_65,B)))]]) ).

cnf(refute_0_12271,plain,
    product(X_65,difference(X_65,B)) = B,
    inference(subst,[],[refute_0_3:[bind(A,$fot(X_65))]]) ).

cnf(refute_0_12272,plain,
    ( product(X_65,difference(X_65,B)) != B
    | product(X_65,product(X_66,difference(X_65,B))) != product(product(X_65,X_66),product(X_65,difference(X_65,B)))
    | product(X_65,product(X_66,difference(X_65,B))) = product(product(X_65,X_66),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_65,product(X_66,difference(X_65,B))),product(product(X_65,X_66),product(X_65,difference(X_65,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_12273,plain,
    ( product(X_65,product(X_66,difference(X_65,B))) != product(product(X_65,X_66),product(X_65,difference(X_65,B)))
    | product(X_65,product(X_66,difference(X_65,B))) = product(product(X_65,X_66),B) ),
    inference(resolve,[$cnf( $equal(product(X_65,difference(X_65,B)),B) )],[refute_0_12271,refute_0_12272]) ).

cnf(refute_0_12274,plain,
    product(X_65,product(X_66,difference(X_65,B))) = product(product(X_65,X_66),B),
    inference(resolve,[$cnf( $equal(product(X_65,product(X_66,difference(X_65,B))),product(product(X_65,X_66),product(X_65,difference(X_65,B)))) )],[refute_0_12270,refute_0_12273]) ).

cnf(refute_0_12275,plain,
    product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) = product(product(product(c,a),C),bigC(a,a,b)),
    inference(subst,[],[refute_0_12274:[bind(B,$fot(bigC(a,a,b))),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(C))]]) ).

cnf(refute_0_12276,plain,
    ( product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) != product(product(product(c,a),C),bigC(a,a,b))
    | product(product(product(c,a),C),bigC(a,a,b)) != bigC(a,C,c)
    | product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) = bigC(a,C,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))))),bind(Y,$fot(product(product(product(c,a),C),bigC(a,a,b)))),bind(Z,$fot(bigC(a,C,c)))]]) ).

cnf(refute_0_12277,plain,
    ( product(product(product(c,a),C),bigC(a,a,b)) != bigC(a,C,c)
    | product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) = bigC(a,C,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))),product(product(product(c,a),C),bigC(a,a,b))) )],[refute_0_12275,refute_0_12276]) ).

cnf(refute_0_12278,plain,
    product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) = bigC(a,C,c),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),C),bigC(a,a,b)),bigC(a,C,c)) )],[refute_0_12269,refute_0_12277]) ).

cnf(refute_0_12279,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b))))
    | product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))) != bigC(a,C,c)
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(a,C,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(a,C,c)) ),[0],$fot(product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_12280,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b))))
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(a,C,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b)))),bigC(a,C,c)) )],[refute_0_12278,refute_0_12279]) ).

cnf(refute_0_12281,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(a,C,c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),product(product(c,a),product(C,difference(product(c,a),bigC(a,a,b))))) )],[refute_0_12268,refute_0_12280]) ).

cnf(refute_0_12282,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(difference(product(c,a),bigC(a,a,b)),a,C),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,a),bigC(a,a,b)),a,C))]]) ).

cnf(refute_0_12283,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != bigC(difference(product(c,a),bigC(a,a,b)),a,C)
    | difference(product(c,a),bigC(a,a,b)) != c
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(c,a,C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(difference(product(c,a),bigC(a,a,b)),a,C)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_12284,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(c,a,C) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(difference(product(c,a),bigC(a,a,b)),a,C)) )],[refute_0_12282,refute_0_12283]) ).

cnf(refute_0_12285,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),a,C) = bigC(c,a,C),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_11076,refute_0_12284]) ).

cnf(refute_0_12286,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != bigC(a,C,c)
    | bigC(difference(product(c,a),bigC(a,a,b)),a,C) != bigC(c,a,C)
    | bigC(c,a,C) = bigC(a,C,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(a,C,c)) ),[0],$fot(bigC(c,a,C))]]) ).

cnf(refute_0_12287,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),a,C) != bigC(a,C,c)
    | bigC(c,a,C) = bigC(a,C,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(c,a,C)) )],[refute_0_12285,refute_0_12286]) ).

cnf(refute_0_12288,plain,
    bigC(c,a,C) = bigC(a,C,c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),a,C),bigC(a,C,c)) )],[refute_0_12281,refute_0_12287]) ).

cnf(refute_0_12289,plain,
    bigC(c,a,product(b,a)) = bigC(a,product(b,a),c),
    inference(subst,[],[refute_0_12288:[bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_12290,plain,
    ( bigC(a,product(b,a),c) != bigC(a,c,product(b,a))
    | bigC(c,a,product(b,a)) != bigC(a,product(b,a),c)
    | bigC(c,a,product(b,a)) = bigC(a,c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,a,product(b,a)))),bind(Y,$fot(bigC(a,product(b,a),c))),bind(Z,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_12291,plain,
    ( bigC(a,product(b,a),c) != bigC(a,c,product(b,a))
    | bigC(c,a,product(b,a)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(b,a)),bigC(a,product(b,a),c)) )],[refute_0_12289,refute_0_12290]) ).

cnf(refute_0_12292,plain,
    bigC(c,a,product(b,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_11144,refute_0_12291]) ).

cnf(refute_0_12293,plain,
    product(product(product(b,c),X_97),c) = product(product(product(b,c),c),product(X_97,c)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(b,c))),bind(X_24,$fot(X_97)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12294,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),X_97),c) != product(product(product(b,c),c),product(X_97,c))
    | product(product(product(b,c),X_97),c) = product(product(b,product(a,c)),product(X_97,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),X_97),c),product(product(product(b,c),c),product(X_97,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12295,plain,
    ( product(product(product(b,c),X_97),c) != product(product(product(b,c),c),product(X_97,c))
    | product(product(product(b,c),X_97),c) = product(product(b,product(a,c)),product(X_97,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_12294]) ).

cnf(refute_0_12296,plain,
    product(product(product(b,c),X_97),c) = product(product(b,product(a,c)),product(X_97,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_97),c),product(product(product(b,c),c),product(X_97,c))) )],[refute_0_12293,refute_0_12295]) ).

cnf(refute_0_12297,plain,
    product(product(b,product(a,c)),product(X_97,c)) = product(c,product(X_97,product(c,a))),
    inference(subst,[],[refute_0_10349:[bind(X_25,$fot(X_97))]]) ).

cnf(refute_0_12298,plain,
    ( product(product(b,product(a,c)),product(X_97,c)) != product(c,product(X_97,product(c,a)))
    | product(product(product(b,c),X_97),c) != product(product(b,product(a,c)),product(X_97,c))
    | product(product(product(b,c),X_97),c) = product(c,product(X_97,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),X_97),c),product(product(b,product(a,c)),product(X_97,c))) ),[1],$fot(product(c,product(X_97,product(c,a))))]]) ).

cnf(refute_0_12299,plain,
    ( product(product(product(b,c),X_97),c) != product(product(b,product(a,c)),product(X_97,c))
    | product(product(product(b,c),X_97),c) = product(c,product(X_97,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_97,c)),product(c,product(X_97,product(c,a)))) )],[refute_0_12297,refute_0_12298]) ).

cnf(refute_0_12300,plain,
    product(product(product(b,c),X_97),c) = product(c,product(X_97,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_97),c),product(product(b,product(a,c)),product(X_97,c))) )],[refute_0_12296,refute_0_12299]) ).

cnf(refute_0_12301,plain,
    bigC(product(b,a),c,C) = bigC(c,C,product(b,a)),
    inference(subst,[],[refute_0_11408:[bind(B,$fot(C))]]) ).

cnf(refute_0_12302,plain,
    ( bigC(product(b,a),c,C) != bigC(c,C,product(b,a))
    | bigC(product(b,a),c,C) != product(c,product(C,product(c,a)))
    | bigC(c,C,product(b,a)) = product(c,product(C,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,C),product(c,product(C,product(c,a)))) ),[0],$fot(bigC(c,C,product(b,a)))]]) ).

cnf(refute_0_12303,plain,
    ( bigC(product(b,a),c,C) != product(c,product(C,product(c,a)))
    | bigC(c,C,product(b,a)) = product(c,product(C,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,C),bigC(c,C,product(b,a))) )],[refute_0_12301,refute_0_12302]) ).

cnf(refute_0_12304,plain,
    bigC(c,C,product(b,a)) = product(c,product(C,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,C),product(c,product(C,product(c,a)))) )],[refute_0_11396,refute_0_12303]) ).

cnf(refute_0_12305,plain,
    ( bigC(c,C,product(b,a)) != product(c,product(C,product(c,a)))
    | product(c,product(C,product(c,a))) = bigC(c,C,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,C,product(b,a)))),bind(Y,$fot(product(c,product(C,product(c,a)))))]]) ).

cnf(refute_0_12306,plain,
    product(c,product(C,product(c,a))) = bigC(c,C,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,C,product(b,a)),product(c,product(C,product(c,a)))) )],[refute_0_12304,refute_0_12305]) ).

cnf(refute_0_12307,plain,
    product(c,product(X_97,product(c,a))) = bigC(c,X_97,product(b,a)),
    inference(subst,[],[refute_0_12306:[bind(C,$fot(X_97))]]) ).

cnf(refute_0_12308,plain,
    ( product(c,product(X_97,product(c,a))) != bigC(c,X_97,product(b,a))
    | product(product(product(b,c),X_97),c) != product(c,product(X_97,product(c,a)))
    | product(product(product(b,c),X_97),c) = bigC(c,X_97,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),X_97),c),product(c,product(X_97,product(c,a)))) ),[1],$fot(bigC(c,X_97,product(b,a)))]]) ).

cnf(refute_0_12309,plain,
    ( product(product(product(b,c),X_97),c) != product(c,product(X_97,product(c,a)))
    | product(product(product(b,c),X_97),c) = bigC(c,X_97,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_97,product(c,a))),bigC(c,X_97,product(b,a))) )],[refute_0_12307,refute_0_12308]) ).

cnf(refute_0_12310,plain,
    product(product(product(b,c),X_97),c) = bigC(c,X_97,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_97),c),product(c,product(X_97,product(c,a)))) )],[refute_0_12300,refute_0_12309]) ).

cnf(refute_0_12311,plain,
    product(product(product(b,c),a),c) = bigC(c,a,product(b,a)),
    inference(subst,[],[refute_0_12310:[bind(X_97,$fot(a))]]) ).

cnf(refute_0_12312,plain,
    ( bigC(c,a,product(b,a)) != bigC(a,c,product(b,a))
    | product(product(product(b,c),a),c) != bigC(c,a,product(b,a))
    | product(product(product(b,c),a),c) = bigC(a,c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),a),c))),bind(Y,$fot(bigC(c,a,product(b,a)))),bind(Z,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_12313,plain,
    ( bigC(c,a,product(b,a)) != bigC(a,c,product(b,a))
    | product(product(product(b,c),a),c) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),c),bigC(c,a,product(b,a))) )],[refute_0_12311,refute_0_12312]) ).

cnf(refute_0_12314,plain,
    product(product(product(b,c),a),c) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(b,a)),bigC(a,c,product(b,a))) )],[refute_0_12292,refute_0_12313]) ).

cnf(refute_0_12315,plain,
    ( product(c,bigC(a,a,c)) != product(product(product(b,c),a),c)
    | product(product(product(b,c),a),c) != bigC(a,c,product(b,a))
    | product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,a,c)),bigC(a,c,product(b,a))) ),[0],$fot(product(product(product(b,c),a),c))]]) ).

cnf(refute_0_12316,plain,
    ( product(c,bigC(a,a,c)) != product(product(product(b,c),a),c)
    | product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),c),bigC(a,c,product(b,a))) )],[refute_0_12314,refute_0_12315]) ).

cnf(refute_0_12317,plain,
    ( difference(product(c,c),product(c,product(c,bigC(a,a,c)))) != product(product(product(b,c),a),c)
    | product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,c)),product(product(product(b,c),a),c)) )],[refute_0_12264,refute_0_12316]) ).

cnf(refute_0_12318,plain,
    product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,c),product(c,product(c,bigC(a,a,c)))),product(product(product(b,c),a),c)) )],[refute_0_12257,refute_0_12317]) ).

cnf(refute_0_12319,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_16:[bind(X,$fot(product(c,bigC(a,a,c)))),bind(Y,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_12320,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_12318,refute_0_12319]) ).

cnf(refute_0_12321,plain,
    ( bigC(a,c,product(b,a)) != product(c,bigC(a,a,c))
    | bigC(a,product(b,c),product(c,a)) != bigC(a,c,product(b,a))
    | bigC(a,product(b,c),product(c,a)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(b,c),product(c,a)),bigC(a,c,product(b,a))) ),[1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_12322,plain,
    ( bigC(a,product(b,c),product(c,a)) != bigC(a,c,product(b,a))
    | bigC(a,product(b,c),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_12320,refute_0_12321]) ).

cnf(refute_0_12323,plain,
    bigC(a,product(b,c),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(c,a)),bigC(a,c,product(b,a))) )],[refute_0_11159,refute_0_12322]) ).

cnf(refute_0_12324,plain,
    bigC(a,product(c,a),product(b,c)) = bigC(a,product(b,c),product(c,a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(b,c))),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_12325,plain,
    ( bigC(a,product(b,c),product(c,a)) != product(c,bigC(a,a,c))
    | bigC(a,product(c,a),product(b,c)) != bigC(a,product(b,c),product(c,a))
    | bigC(a,product(c,a),product(b,c)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(c,a),product(b,c)))),bind(Y,$fot(bigC(a,product(b,c),product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_12326,plain,
    ( bigC(a,product(b,c),product(c,a)) != product(c,bigC(a,a,c))
    | bigC(a,product(c,a),product(b,c)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),product(b,c)),bigC(a,product(b,c),product(c,a))) )],[refute_0_12324,refute_0_12325]) ).

cnf(refute_0_12327,plain,
    bigC(a,product(c,a),product(b,c)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_12323,refute_0_12326]) ).

cnf(refute_0_12328,plain,
    quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)))]]) ).

cnf(refute_0_12329,plain,
    ( bigC(a,product(c,a),product(b,c)) != product(c,bigC(a,a,c))
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) != quotient(bigC(a,product(c,a),product(b,c)),product(c,a))
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = quotient(product(c,bigC(a,a,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),quotient(bigC(a,product(c,a),product(b,c)),product(c,a))) ),[1,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_12330,plain,
    ( bigC(a,product(c,a),product(b,c)) != product(c,bigC(a,a,c))
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = quotient(product(c,bigC(a,a,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),quotient(bigC(a,product(c,a),product(b,c)),product(c,a))) )],[refute_0_12328,refute_0_12329]) ).

cnf(refute_0_12331,plain,
    quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) = quotient(product(c,bigC(a,a,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),product(b,c)),product(c,bigC(a,a,c))) )],[refute_0_12327,refute_0_12330]) ).

cnf(refute_0_12332,plain,
    ( quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) != product(product(c,a),c)
    | quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) != quotient(product(c,bigC(a,a,c)),product(c,a))
    | quotient(product(c,bigC(a,a,c)),product(c,a)) = product(product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),product(product(c,a),c)) ),[0],$fot(quotient(product(c,bigC(a,a,c)),product(c,a)))]]) ).

cnf(refute_0_12333,plain,
    ( quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) != product(product(c,a),c)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) = product(product(c,a),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),quotient(product(c,bigC(a,a,c)),product(c,a))) )],[refute_0_12331,refute_0_12332]) ).

cnf(refute_0_12334,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) != product(product(c,a),c)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),product(product(c,a),c)) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12335,plain,
    ( quotient(product(c,bigC(a,a,c)),product(c,a)) != product(product(c,a),c)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_12334]) ).

cnf(refute_0_12336,plain,
    ( quotient(bigC(a,product(c,a),product(b,c)),product(c,a)) != product(product(c,a),c)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),product(product(c,a),c)) )],[refute_0_12333,refute_0_12335]) ).

cnf(refute_0_12337,plain,
    quotient(product(c,bigC(a,a,c)),product(c,a)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(c,a),product(b,c)),product(c,a)),product(product(c,a),c)) )],[refute_0_11125,refute_0_12336]) ).

cnf(refute_0_12338,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(bigC(a,a,b),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12339,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(bigC(a,a,b),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),bigC(a,a,b)) )],[refute_0_12337,refute_0_12338]) ).

cnf(refute_0_12340,plain,
    bigC(bigC(a,a,b),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) )],[refute_0_4044,refute_0_12339]) ).

cnf(refute_0_12341,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) ),[1,1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12342,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),bigC(a,a,b)) )],[refute_0_12337,refute_0_12341]) ).

cnf(refute_0_12343,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) )],[refute_0_4044,refute_0_12342]) ).

cnf(refute_0_12344,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19))]]) ).

cnf(refute_0_12345,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19)
    | quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = bigC(bigC(a,a,b),product(c,a),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12346,plain,
    ( quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = bigC(bigC(a,a,b),product(c,a),X_19) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19)) )],[refute_0_12344,refute_0_12345]) ).

cnf(refute_0_12347,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) = bigC(bigC(a,a,b),product(c,a),X_19),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),bigC(a,a,b)) )],[refute_0_12337,refute_0_12346]) ).

cnf(refute_0_12348,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != bigC(bigC(a,a,b),product(c,a),X_19)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),product(c,a),X_19))]]) ).

cnf(refute_0_12349,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(c,a),X_19) = product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),bigC(bigC(a,a,b),product(c,a),X_19)) )],[refute_0_12347,refute_0_12348]) ).

cnf(refute_0_12350,plain,
    bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,a),product(X_118,quotient(product(c,a),bigC(a,a,c)))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(product(c,a))),bind(X_18,$fot(bigC(a,a,c))),bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_12351,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_12352,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_12353,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_12351,refute_0_12352]) ).

cnf(refute_0_12354,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_2227,refute_0_12353]) ).

cnf(refute_0_12355,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)) != quotient(product(c,a),bigC(a,a,c))
    | quotient(product(c,a),bigC(a,a,c)) = product(bigC(a,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,c),product(c,a))) ),[0],$fot(quotient(product(c,a),bigC(a,a,c)))]]) ).

cnf(refute_0_12356,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(a,a,c)) = product(bigC(a,b,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_12354,refute_0_12355]) ).

cnf(refute_0_12357,plain,
    quotient(product(c,a),bigC(a,a,c)) = product(bigC(a,b,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_2347,refute_0_12356]) ).

cnf(refute_0_12358,plain,
    ( product(bigC(a,b,c),product(c,a)) != product(c,product(c,a))
    | quotient(product(c,a),bigC(a,a,c)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(a,a,c)),product(bigC(a,b,c),product(c,a))) ),[1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12359,plain,
    ( quotient(product(c,a),bigC(a,a,c)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,a)),product(c,product(c,a))) )],[refute_0_3909,refute_0_12358]) ).

cnf(refute_0_12360,plain,
    quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,c)),product(bigC(a,b,c),product(c,a))) )],[refute_0_12357,refute_0_12359]) ).

cnf(refute_0_12361,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,a),product(X_118,quotient(product(c,a),bigC(a,a,c))))
    | quotient(product(c,a),bigC(a,a,c)) != product(c,product(c,a))
    | bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,a),product(X_118,product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,a),product(X_118,quotient(product(c,a),bigC(a,a,c))))) ),[1,1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12362,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,a),product(X_118,quotient(product(c,a),bigC(a,a,c))))
    | bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,a),product(X_118,product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_12360,refute_0_12361]) ).

cnf(refute_0_12363,plain,
    bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,a),product(X_118,product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,a),product(X_118,quotient(product(c,a),bigC(a,a,c))))) )],[refute_0_12350,refute_0_12362]) ).

cnf(refute_0_12364,plain,
    bigC(a,a,product(c,b)) = product(a,product(product(c,b),a)),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(a)),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_12365,plain,
    ( bigC(a,a,product(c,b)) != product(a,product(product(c,b),a))
    | product(product(c,b),a) != product(c,product(c,a))
    | bigC(a,a,product(c,b)) = product(a,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,a,product(c,b)),product(a,product(product(c,b),a))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12366,plain,
    ( bigC(a,a,product(c,b)) != product(a,product(product(c,b),a))
    | bigC(a,a,product(c,b)) = product(a,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_3682,refute_0_12365]) ).

cnf(refute_0_12367,plain,
    bigC(a,a,product(c,b)) = product(a,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(c,b)),product(a,product(product(c,b),a))) )],[refute_0_12364,refute_0_12366]) ).

cnf(refute_0_12368,plain,
    product(a,product(c,product(c,a))) = bigC(a,c,product(a,c)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_12369,plain,
    ( bigC(a,a,product(c,b)) != product(a,product(c,product(c,a)))
    | product(a,product(c,product(c,a))) != bigC(a,c,product(a,c))
    | bigC(a,a,product(c,b)) = bigC(a,c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,product(c,b)),bigC(a,c,product(a,c))) ),[0],$fot(product(a,product(c,product(c,a))))]]) ).

cnf(refute_0_12370,plain,
    ( bigC(a,a,product(c,b)) != product(a,product(c,product(c,a)))
    | bigC(a,a,product(c,b)) = bigC(a,c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(c,a))),bigC(a,c,product(a,c))) )],[refute_0_12368,refute_0_12369]) ).

cnf(refute_0_12371,plain,
    bigC(a,a,product(c,b)) = bigC(a,c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(c,b)),product(a,product(c,product(c,a)))) )],[refute_0_12367,refute_0_12370]) ).

cnf(refute_0_12372,plain,
    ( bigC(a,a,product(c,b)) != bigC(a,c,product(a,c))
    | bigC(a,c,product(a,c)) = bigC(a,a,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,a,product(c,b)))),bind(Y,$fot(bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_12373,plain,
    bigC(a,c,product(a,c)) = bigC(a,a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(c,b)),bigC(a,c,product(a,c))) )],[refute_0_12371,refute_0_12372]) ).

cnf(refute_0_12374,plain,
    ( bigC(a,c,product(a,c)) != bigC(a,a,product(c,b))
    | product(a,product(c,product(c,a))) != bigC(a,c,product(a,c))
    | product(a,product(c,product(c,a))) = bigC(a,a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(a,product(c,product(c,a))))),bind(Y,$fot(bigC(a,c,product(a,c)))),bind(Z,$fot(bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_12375,plain,
    ( bigC(a,c,product(a,c)) != bigC(a,a,product(c,b))
    | product(a,product(c,product(c,a))) = bigC(a,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(c,a))),bigC(a,c,product(a,c))) )],[refute_0_12368,refute_0_12374]) ).

cnf(refute_0_12376,plain,
    product(a,product(c,product(c,a))) = bigC(a,a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(a,c)),bigC(a,a,product(c,b))) )],[refute_0_12373,refute_0_12375]) ).

cnf(refute_0_12377,plain,
    product(a,quotient(product(c,a),bigC(a,a,c))) = product(a,quotient(product(c,a),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(a,quotient(product(c,a),bigC(a,a,c))))]]) ).

cnf(refute_0_12378,plain,
    ( product(a,quotient(product(c,a),bigC(a,a,c))) != product(a,quotient(product(c,a),bigC(a,a,c)))
    | quotient(product(c,a),bigC(a,a,c)) != product(c,product(c,a))
    | product(a,quotient(product(c,a),bigC(a,a,c))) = product(a,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,quotient(product(c,a),bigC(a,a,c))),product(a,quotient(product(c,a),bigC(a,a,c)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12379,plain,
    ( quotient(product(c,a),bigC(a,a,c)) != product(c,product(c,a))
    | product(a,quotient(product(c,a),bigC(a,a,c))) = product(a,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(c,a),bigC(a,a,c))),product(a,quotient(product(c,a),bigC(a,a,c)))) )],[refute_0_12377,refute_0_12378]) ).

cnf(refute_0_12380,plain,
    product(a,quotient(product(c,a),bigC(a,a,c))) = product(a,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_12360,refute_0_12379]) ).

cnf(refute_0_12381,plain,
    ( product(a,product(c,product(c,a))) != bigC(a,a,product(c,b))
    | product(a,quotient(product(c,a),bigC(a,a,c))) != product(a,product(c,product(c,a)))
    | product(a,quotient(product(c,a),bigC(a,a,c))) = bigC(a,a,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(a,quotient(product(c,a),bigC(a,a,c))))),bind(Y,$fot(product(a,product(c,product(c,a))))),bind(Z,$fot(bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_12382,plain,
    ( product(a,product(c,product(c,a))) != bigC(a,a,product(c,b))
    | product(a,quotient(product(c,a),bigC(a,a,c))) = bigC(a,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(c,a),bigC(a,a,c))),product(a,product(c,product(c,a)))) )],[refute_0_12380,refute_0_12381]) ).

cnf(refute_0_12383,plain,
    product(a,quotient(product(c,a),bigC(a,a,c))) = bigC(a,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(c,a))),bigC(a,a,product(c,b))) )],[refute_0_12376,refute_0_12382]) ).

cnf(refute_0_12384,plain,
    product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) = product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))))]]) ).

cnf(refute_0_12385,plain,
    ( product(a,quotient(product(c,a),bigC(a,a,c))) != bigC(a,a,product(c,b))
    | product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) != product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c))))
    | product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) = product(product(c,X_118),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))),product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c))))) ),[1,1],$fot(bigC(a,a,product(c,b)))]]) ).

cnf(refute_0_12386,plain,
    ( product(a,quotient(product(c,a),bigC(a,a,c))) != bigC(a,a,product(c,b))
    | product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) = product(product(c,X_118),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))),product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c))))) )],[refute_0_12384,refute_0_12385]) ).

cnf(refute_0_12387,plain,
    product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) = product(product(c,X_118),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(c,a),bigC(a,a,c))),bigC(a,a,product(c,b))) )],[refute_0_12383,refute_0_12386]) ).

cnf(refute_0_12388,plain,
    product(product(A,B),product(C,quotient(product(A,C),X_117))) = product(product(A,C),product(B,quotient(product(A,C),X_117))),
    inference(subst,[],[refute_0_27:[bind(D,$fot(quotient(product(A,C),X_117)))]]) ).

cnf(refute_0_12389,plain,
    bigC(quotient(product(A,C),X_117),X_117,B) = product(product(A,C),product(B,quotient(product(A,C),X_117))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(product(A,C))),bind(X_18,$fot(X_117)),bind(X_19,$fot(B))]]) ).

cnf(refute_0_12390,plain,
    ( bigC(quotient(product(A,C),X_117),X_117,B) != product(product(A,C),product(B,quotient(product(A,C),X_117)))
    | product(product(A,C),product(B,quotient(product(A,C),X_117))) = bigC(quotient(product(A,C),X_117),X_117,B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(quotient(product(A,C),X_117),X_117,B))),bind(Y,$fot(product(product(A,C),product(B,quotient(product(A,C),X_117)))))]]) ).

cnf(refute_0_12391,plain,
    product(product(A,C),product(B,quotient(product(A,C),X_117))) = bigC(quotient(product(A,C),X_117),X_117,B),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(A,C),X_117),X_117,B),product(product(A,C),product(B,quotient(product(A,C),X_117)))) )],[refute_0_12389,refute_0_12390]) ).

cnf(refute_0_12392,plain,
    ( product(product(A,B),product(C,quotient(product(A,C),X_117))) != product(product(A,C),product(B,quotient(product(A,C),X_117)))
    | product(product(A,C),product(B,quotient(product(A,C),X_117))) != bigC(quotient(product(A,C),X_117),X_117,B)
    | product(product(A,B),product(C,quotient(product(A,C),X_117))) = bigC(quotient(product(A,C),X_117),X_117,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(A,B),product(C,quotient(product(A,C),X_117))),bigC(quotient(product(A,C),X_117),X_117,B)) ),[0],$fot(product(product(A,C),product(B,quotient(product(A,C),X_117))))]]) ).

cnf(refute_0_12393,plain,
    ( product(product(A,B),product(C,quotient(product(A,C),X_117))) != product(product(A,C),product(B,quotient(product(A,C),X_117)))
    | product(product(A,B),product(C,quotient(product(A,C),X_117))) = bigC(quotient(product(A,C),X_117),X_117,B) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,quotient(product(A,C),X_117))),bigC(quotient(product(A,C),X_117),X_117,B)) )],[refute_0_12391,refute_0_12392]) ).

cnf(refute_0_12394,plain,
    product(product(A,B),product(C,quotient(product(A,C),X_117))) = bigC(quotient(product(A,C),X_117),X_117,B),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,quotient(product(A,C),X_117))),product(product(A,C),product(B,quotient(product(A,C),X_117)))) )],[refute_0_12388,refute_0_12393]) ).

cnf(refute_0_12395,plain,
    ( product(product(A,B),product(C,quotient(product(A,C),X_117))) != bigC(quotient(product(A,C),X_117),X_117,B)
    | bigC(quotient(product(A,C),X_117),X_117,B) = product(product(A,B),product(C,quotient(product(A,C),X_117))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,B),product(C,quotient(product(A,C),X_117))))),bind(Y,$fot(bigC(quotient(product(A,C),X_117),X_117,B)))]]) ).

cnf(refute_0_12396,plain,
    bigC(quotient(product(A,C),X_117),X_117,B) = product(product(A,B),product(C,quotient(product(A,C),X_117))),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,quotient(product(A,C),X_117))),bigC(quotient(product(A,C),X_117),X_117,B)) )],[refute_0_12394,refute_0_12395]) ).

cnf(refute_0_12397,plain,
    bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))),
    inference(subst,[],[refute_0_12396:[bind(A,$fot(c)),bind(B,$fot(X_118)),bind(C,$fot(a)),bind(X_117,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12398,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c))))
    | product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) != product(product(c,X_118),bigC(a,a,product(c,b)))
    | bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,X_118),bigC(a,a,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118))),bind(Y,$fot(product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))))),bind(Z,$fot(product(product(c,X_118),bigC(a,a,product(c,b)))))]]) ).

cnf(refute_0_12399,plain,
    ( product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))) != product(product(c,X_118),bigC(a,a,product(c,b)))
    | bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,X_118),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c))))) )],[refute_0_12397,refute_0_12398]) ).

cnf(refute_0_12400,plain,
    bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) = product(product(c,X_118),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_118),product(a,quotient(product(c,a),bigC(a,a,c)))),product(product(c,X_118),bigC(a,a,product(c,b)))) )],[refute_0_12387,refute_0_12399]) ).

cnf(refute_0_12401,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,X_118),bigC(a,a,product(c,b)))
    | bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,a),product(X_118,product(c,product(c,a))))
    | product(product(c,X_118),bigC(a,a,product(c,b))) = product(product(c,a),product(X_118,product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,a),product(X_118,product(c,product(c,a))))) ),[0],$fot(product(product(c,X_118),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_12402,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,a),product(X_118,product(c,product(c,a))))
    | product(product(c,X_118),bigC(a,a,product(c,b))) = product(product(c,a),product(X_118,product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,X_118),bigC(a,a,product(c,b)))) )],[refute_0_12400,refute_0_12401]) ).

cnf(refute_0_12403,plain,
    bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),bigC(a,a,b),X_118) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(bigC(a,a,product(b,c)))),bind(X_18,$fot(bigC(a,a,b))),bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_12404,plain,
    quotient(product(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(c,a),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,a))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_12405,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | quotient(product(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(c,a)) ),[0,0],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_12406,plain,
    ( quotient(product(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(c,a,product(c,a))) )],[refute_0_2171,refute_0_12405]) ).

cnf(refute_0_12407,plain,
    quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(c,a)) )],[refute_0_12404,refute_0_12406]) ).

cnf(refute_0_12408,plain,
    quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_12409,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) != quotient(bigC(c,a,product(c,a)),bigC(a,a,b))
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),quotient(bigC(c,a,product(c,a)),bigC(a,a,b))) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_12410,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),quotient(bigC(c,a,product(c,a)),bigC(a,a,b))) )],[refute_0_12408,refute_0_12409]) ).

cnf(refute_0_12411,plain,
    quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2295,refute_0_12410]) ).

cnf(refute_0_12412,plain,
    ( quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) != quotient(bigC(a,c,product(c,a)),bigC(a,a,b))
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),product(c,a)) ),[0],$fot(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_12413,plain,
    ( quotient(bigC(c,a,product(c,a)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),quotient(bigC(a,c,product(c,a)),bigC(a,a,b))) )],[refute_0_12411,refute_0_12412]) ).

cnf(refute_0_12414,plain,
    quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,product(c,a)),bigC(a,a,b)),product(c,a)) )],[refute_0_12407,refute_0_12413]) ).

cnf(refute_0_12415,plain,
    quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_12416,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) != quotient(bigC(a,c,product(c,a)),bigC(a,a,b))
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),quotient(bigC(a,c,product(c,a)),bigC(a,a,b))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_12417,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),quotient(bigC(a,c,product(c,a)),bigC(a,a,b))) )],[refute_0_12415,refute_0_12416]) ).

cnf(refute_0_12418,plain,
    quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) = quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_12417]) ).

cnf(refute_0_12419,plain,
    ( quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) != quotient(bigC(a,a,product(b,c)),bigC(a,a,b))
    | quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),product(c,a)) ),[0],$fot(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_12420,plain,
    ( quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) != product(c,a)
    | quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),quotient(bigC(a,a,product(b,c)),bigC(a,a,b))) )],[refute_0_12418,refute_0_12419]) ).

cnf(refute_0_12421,plain,
    quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),product(c,a)) )],[refute_0_12414,refute_0_12420]) ).

cnf(refute_0_12422,plain,
    ( bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),bigC(a,a,b),X_118) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) != product(c,a)
    | bigC(product(c,a),bigC(a,a,b),X_118) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),bigC(a,a,b),X_118),product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_12423,plain,
    ( bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),bigC(a,a,b),X_118) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | bigC(product(c,a),bigC(a,a,b),X_118) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),product(c,a)) )],[refute_0_12421,refute_0_12422]) ).

cnf(refute_0_12424,plain,
    bigC(product(c,a),bigC(a,a,b),X_118) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),bigC(a,a,b),X_118),product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))) )],[refute_0_12403,refute_0_12423]) ).

cnf(refute_0_12425,plain,
    bigC(product(c,a),difference(product(c,a),bigC(a,c,product(c,a))),X_19) = product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(a,c,product(c,a)))),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_12426,plain,
    difference(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),bigC(a,c,product(c,a))) = bigC(a,a,b),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(a,a,b))),bind(X_11,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_12427,plain,
    ( difference(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),bigC(a,c,product(c,a))) != bigC(a,a,b)
    | quotient(bigC(a,c,product(c,a)),bigC(a,a,b)) != product(c,a)
    | difference(product(c,a),bigC(a,c,product(c,a))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),bigC(a,c,product(c,a))),bigC(a,a,b)) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_12428,plain,
    ( difference(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),bigC(a,c,product(c,a))) != bigC(a,a,b)
    | difference(product(c,a),bigC(a,c,product(c,a))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),product(c,a)) )],[refute_0_12414,refute_0_12427]) ).

cnf(refute_0_12429,plain,
    difference(product(c,a),bigC(a,c,product(c,a))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,c,product(c,a)),bigC(a,a,b)),bigC(a,c,product(c,a))),bigC(a,a,b)) )],[refute_0_12426,refute_0_12428]) ).

cnf(refute_0_12430,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,c,product(c,a))),X_19) != product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))
    | difference(product(c,a),bigC(a,c,product(c,a))) != bigC(a,a,b)
    | bigC(product(c,a),bigC(a,a,b),X_19) = product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,c,product(c,a))),X_19),product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12431,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,c,product(c,a))),X_19) != product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))
    | bigC(product(c,a),bigC(a,a,b),X_19) = product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(c,a))),bigC(a,a,b)) )],[refute_0_12429,refute_0_12430]) ).

cnf(refute_0_12432,plain,
    bigC(product(c,a),bigC(a,a,b),X_19) = product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,c,product(c,a))),X_19),product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))) )],[refute_0_12425,refute_0_12431]) ).

cnf(refute_0_12433,plain,
    bigC(a,X_19,product(product(b,c),c)) = bigC(a,X_19,product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(bigC(a,X_19,product(product(b,c),c)))]]) ).

cnf(refute_0_12434,plain,
    ( bigC(a,X_19,product(product(b,c),c)) != bigC(a,X_19,product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(a,X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_19,product(product(b,c),c)),bigC(a,X_19,product(product(b,c),c))) ),[1,2],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12435,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | bigC(a,X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(product(b,c),c)),bigC(a,X_19,product(product(b,c),c))) )],[refute_0_12433,refute_0_12434]) ).

cnf(refute_0_12436,plain,
    bigC(a,X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_12435]) ).

cnf(refute_0_12437,plain,
    bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(product(a,a),X_19,product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_19,product(product(b,c),c)))]]) ).

cnf(refute_0_12438,plain,
    ( bigC(product(a,a),X_19,product(product(b,c),c)) != bigC(product(a,a),X_19,product(product(b,c),c))
    | product(a,a) != a
    | bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_19,product(product(b,c),c)),bigC(product(a,a),X_19,product(product(b,c),c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_12439,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(product(b,c),c)),bigC(product(a,a),X_19,product(product(b,c),c))) )],[refute_0_12437,refute_0_12438]) ).

cnf(refute_0_12440,plain,
    bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_12439]) ).

cnf(refute_0_12441,plain,
    ( bigC(a,X_19,product(product(b,c),c)) != bigC(a,X_19,product(b,product(a,c)))
    | bigC(product(a,a),X_19,product(product(b,c),c)) != bigC(a,X_19,product(product(b,c),c))
    | bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,a),X_19,product(product(b,c),c)))),bind(Y,$fot(bigC(a,X_19,product(product(b,c),c)))),bind(Z,$fot(bigC(a,X_19,product(b,product(a,c)))))]]) ).

cnf(refute_0_12442,plain,
    ( bigC(a,X_19,product(product(b,c),c)) != bigC(a,X_19,product(b,product(a,c)))
    | bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(product(b,c),c)),bigC(a,X_19,product(product(b,c),c))) )],[refute_0_12440,refute_0_12441]) ).

cnf(refute_0_12443,plain,
    bigC(product(a,a),X_19,product(product(b,c),c)) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(product(b,c),c)),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12436,refute_0_12442]) ).

cnf(refute_0_12444,plain,
    product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) = bigC(product(a,a),X_19,product(product(b,c),c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_19)),bind(X_23,$fot(product(b,c))),bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_12445,plain,
    ( bigC(product(a,a),X_19,product(product(b,c),c)) != bigC(a,X_19,product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) != bigC(product(a,a),X_19,product(product(b,c),c))
    | product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,product(b,c)),product(X_19,product(c,a))))),bind(Y,$fot(bigC(product(a,a),X_19,product(product(b,c),c)))),bind(Z,$fot(bigC(a,X_19,product(b,product(a,c)))))]]) ).

cnf(refute_0_12446,plain,
    ( bigC(product(a,a),X_19,product(product(b,c),c)) != bigC(a,X_19,product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(X_19,product(c,a))),bigC(product(a,a),X_19,product(product(b,c),c))) )],[refute_0_12444,refute_0_12445]) ).

cnf(refute_0_12447,plain,
    product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(product(b,c),c)),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12443,refute_0_12446]) ).

cnf(refute_0_12448,plain,
    product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))))]]) ).

cnf(refute_0_12449,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) != product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_12450,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))) )],[refute_0_12448,refute_0_12449]) ).

cnf(refute_0_12451,plain,
    product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = product(bigC(a,a,product(b,c)),product(X_19,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_12450]) ).

cnf(refute_0_12452,plain,
    ( product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) != bigC(a,X_19,product(b,product(a,c)))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) != product(bigC(a,a,product(b,c)),product(X_19,product(c,a)))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(X_19,product(c,a))))),bind(Z,$fot(bigC(a,X_19,product(b,product(a,c)))))]]) ).

cnf(refute_0_12453,plain,
    ( product(bigC(a,a,product(b,c)),product(X_19,product(c,a))) != bigC(a,X_19,product(b,product(a,c)))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),product(bigC(a,a,product(b,c)),product(X_19,product(c,a)))) )],[refute_0_12451,refute_0_12452]) ).

cnf(refute_0_12454,plain,
    product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(X_19,product(c,a))),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12447,refute_0_12453]) ).

cnf(refute_0_12455,plain,
    ( bigC(product(c,a),bigC(a,a,b),X_19) != product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))
    | product(bigC(a,c,product(c,a)),product(X_19,product(c,a))) != bigC(a,X_19,product(b,product(a,c)))
    | bigC(product(c,a),bigC(a,a,b),X_19) = bigC(a,X_19,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),bigC(a,a,b),X_19),bigC(a,X_19,product(b,product(a,c)))) ),[0],$fot(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))))]]) ).

cnf(refute_0_12456,plain,
    ( bigC(product(c,a),bigC(a,a,b),X_19) != product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))
    | bigC(product(c,a),bigC(a,a,b),X_19) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(X_19,product(c,a))),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12454,refute_0_12455]) ).

cnf(refute_0_12457,plain,
    bigC(product(c,a),bigC(a,a,b),X_19) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),X_19),product(bigC(a,c,product(c,a)),product(X_19,product(c,a)))) )],[refute_0_12432,refute_0_12456]) ).

cnf(refute_0_12458,plain,
    bigC(product(c,a),bigC(a,a,b),X_118) = bigC(a,X_118,product(b,product(a,c))),
    inference(subst,[],[refute_0_12457:[bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_12459,plain,
    ( bigC(product(c,a),bigC(a,a,b),X_118) != bigC(a,X_118,product(b,product(a,c)))
    | bigC(product(c,a),bigC(a,a,b),X_118) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | bigC(a,X_118,product(b,product(a,c))) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),X_118),product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))) ),[0],$fot(bigC(a,X_118,product(b,product(a,c))))]]) ).

cnf(refute_0_12460,plain,
    ( bigC(product(c,a),bigC(a,a,b),X_118) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | bigC(a,X_118,product(b,product(a,c))) = product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),X_118),bigC(a,X_118,product(b,product(a,c)))) )],[refute_0_12458,refute_0_12459]) ).

cnf(refute_0_12461,plain,
    bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) = bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)))]]) ).

cnf(refute_0_12462,plain,
    ( bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) != bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b))
    | quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) != product(c,a)
    | bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)),bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_12463,plain,
    ( quotient(bigC(a,a,product(b,c)),bigC(a,a,b)) != product(c,a)
    | bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)),bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b))) )],[refute_0_12461,refute_0_12462]) ).

cnf(refute_0_12464,plain,
    bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) = bigC(product(c,a),X_118,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),product(c,a)) )],[refute_0_12421,refute_0_12463]) ).

cnf(refute_0_12465,plain,
    product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) = bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)),
    inference(subst,[],[refute_0_11111:[bind(B,$fot(X_118)),bind(C,$fot(bigC(a,a,b))),bind(X_116,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_12466,plain,
    ( bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) != bigC(product(c,a),X_118,bigC(a,a,b))
    | product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) != bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b))
    | product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))))),bind(Y,$fot(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)))),bind(Z,$fot(bigC(product(c,a),X_118,bigC(a,a,b))))]]) ).

cnf(refute_0_12467,plain,
    ( bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)) != bigC(product(c,a),X_118,bigC(a,a,b))
    | product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))),bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b))) )],[refute_0_12465,refute_0_12466]) ).

cnf(refute_0_12468,plain,
    product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) = bigC(product(c,a),X_118,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,product(b,c)),bigC(a,a,b)),X_118,bigC(a,a,b)),bigC(product(c,a),X_118,bigC(a,a,b))) )],[refute_0_12464,refute_0_12467]) ).

cnf(refute_0_12469,plain,
    ( bigC(a,X_118,product(b,product(a,c))) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))) != bigC(product(c,a),X_118,bigC(a,a,b))
    | bigC(a,X_118,product(b,product(a,c))) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_118,product(b,product(a,c))),bigC(product(c,a),X_118,bigC(a,a,b))) ),[0],$fot(product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))))]]) ).

cnf(refute_0_12470,plain,
    ( bigC(a,X_118,product(b,product(a,c))) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | bigC(a,X_118,product(b,product(a,c))) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b)))),bigC(product(c,a),X_118,bigC(a,a,b))) )],[refute_0_12468,refute_0_12469]) ).

cnf(refute_0_12471,plain,
    ( bigC(product(c,a),bigC(a,a,b),X_118) != product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))
    | bigC(a,X_118,product(b,product(a,c))) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_118,product(b,product(a,c))),product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))) )],[refute_0_12460,refute_0_12470]) ).

cnf(refute_0_12472,plain,
    bigC(a,X_118,product(b,product(a,c))) = bigC(product(c,a),X_118,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,a,b),X_118),product(bigC(a,a,product(b,c)),product(X_118,quotient(bigC(a,a,product(b,c)),bigC(a,a,b))))) )],[refute_0_12424,refute_0_12471]) ).

cnf(refute_0_12473,plain,
    ( bigC(a,X_118,product(b,product(a,c))) != bigC(product(c,a),X_118,bigC(a,a,b))
    | bigC(product(c,a),X_118,bigC(a,a,b)) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,X_118,product(b,product(a,c))))),bind(Y,$fot(bigC(product(c,a),X_118,bigC(a,a,b))))]]) ).

cnf(refute_0_12474,plain,
    bigC(product(c,a),X_118,bigC(a,a,b)) = bigC(a,X_118,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,X_118,product(b,product(a,c))),bigC(product(c,a),X_118,bigC(a,a,b))) )],[refute_0_12472,refute_0_12473]) ).

cnf(refute_0_12475,plain,
    bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(product(c,a),X_118,product(product(c,a),c)),
    introduced(tautology,[refl,[$fot(bigC(product(c,a),X_118,product(product(c,a),c)))]]) ).

cnf(refute_0_12476,plain,
    ( bigC(product(c,a),X_118,product(product(c,a),c)) != bigC(product(c,a),X_118,product(product(c,a),c))
    | product(product(c,a),c) != bigC(a,a,b)
    | bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),X_118,product(product(c,a),c)),bigC(product(c,a),X_118,product(product(c,a),c))) ),[1,2],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12477,plain,
    ( product(product(c,a),c) != bigC(a,a,b)
    | bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(product(c,a),X_118,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_118,product(product(c,a),c)),bigC(product(c,a),X_118,product(product(c,a),c))) )],[refute_0_12475,refute_0_12476]) ).

cnf(refute_0_12478,plain,
    bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(product(c,a),X_118,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(a,a,b)) )],[refute_0_2148,refute_0_12477]) ).

cnf(refute_0_12479,plain,
    ( bigC(product(c,a),X_118,bigC(a,a,b)) != bigC(a,X_118,product(b,product(a,c)))
    | bigC(product(c,a),X_118,product(product(c,a),c)) != bigC(product(c,a),X_118,bigC(a,a,b))
    | bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),X_118,product(product(c,a),c)))),bind(Y,$fot(bigC(product(c,a),X_118,bigC(a,a,b)))),bind(Z,$fot(bigC(a,X_118,product(b,product(a,c)))))]]) ).

cnf(refute_0_12480,plain,
    ( bigC(product(c,a),X_118,bigC(a,a,b)) != bigC(a,X_118,product(b,product(a,c)))
    | bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_118,product(product(c,a),c)),bigC(product(c,a),X_118,bigC(a,a,b))) )],[refute_0_12478,refute_0_12479]) ).

cnf(refute_0_12481,plain,
    bigC(product(c,a),X_118,product(product(c,a),c)) = bigC(a,X_118,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_118,bigC(a,a,b)),bigC(a,X_118,product(b,product(a,c)))) )],[refute_0_12474,refute_0_12480]) ).

cnf(refute_0_12482,plain,
    product(product(c,a),product(X_118,product(c,product(c,a)))) = bigC(product(c,a),X_118,product(product(c,a),c)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(X_118))]]) ).

cnf(refute_0_12483,plain,
    ( bigC(product(c,a),X_118,product(product(c,a),c)) != bigC(a,X_118,product(b,product(a,c)))
    | product(product(c,a),product(X_118,product(c,product(c,a)))) != bigC(product(c,a),X_118,product(product(c,a),c))
    | product(product(c,a),product(X_118,product(c,product(c,a)))) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(X_118,product(c,product(c,a)))))),bind(Y,$fot(bigC(product(c,a),X_118,product(product(c,a),c)))),bind(Z,$fot(bigC(a,X_118,product(b,product(a,c)))))]]) ).

cnf(refute_0_12484,plain,
    ( bigC(product(c,a),X_118,product(product(c,a),c)) != bigC(a,X_118,product(b,product(a,c)))
    | product(product(c,a),product(X_118,product(c,product(c,a)))) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_118,product(c,product(c,a)))),bigC(product(c,a),X_118,product(product(c,a),c))) )],[refute_0_12482,refute_0_12483]) ).

cnf(refute_0_12485,plain,
    product(product(c,a),product(X_118,product(c,product(c,a)))) = bigC(a,X_118,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_118,product(product(c,a),c)),bigC(a,X_118,product(b,product(a,c)))) )],[refute_0_12481,refute_0_12484]) ).

cnf(refute_0_12486,plain,
    ( product(product(c,X_118),bigC(a,a,product(c,b))) != product(product(c,a),product(X_118,product(c,product(c,a))))
    | product(product(c,a),product(X_118,product(c,product(c,a)))) != bigC(a,X_118,product(b,product(a,c)))
    | product(product(c,X_118),bigC(a,a,product(c,b))) = bigC(a,X_118,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,X_118),bigC(a,a,product(c,b))),bigC(a,X_118,product(b,product(a,c)))) ),[0],$fot(product(product(c,a),product(X_118,product(c,product(c,a)))))]]) ).

cnf(refute_0_12487,plain,
    ( product(product(c,X_118),bigC(a,a,product(c,b))) != product(product(c,a),product(X_118,product(c,product(c,a))))
    | product(product(c,X_118),bigC(a,a,product(c,b))) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_118,product(c,product(c,a)))),bigC(a,X_118,product(b,product(a,c)))) )],[refute_0_12485,refute_0_12486]) ).

cnf(refute_0_12488,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118) != product(product(c,a),product(X_118,product(c,product(c,a))))
    | product(product(c,X_118),bigC(a,a,product(c,b))) = bigC(a,X_118,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_118),bigC(a,a,product(c,b))),product(product(c,a),product(X_118,product(c,product(c,a))))) )],[refute_0_12402,refute_0_12487]) ).

cnf(refute_0_12489,plain,
    product(product(c,X_118),bigC(a,a,product(c,b))) = bigC(a,X_118,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,c)),bigC(a,a,c),X_118),product(product(c,a),product(X_118,product(c,product(c,a))))) )],[refute_0_12363,refute_0_12488]) ).

cnf(refute_0_12490,plain,
    product(product(c,X_19),bigC(a,a,product(c,b))) = bigC(a,X_19,product(b,product(a,c))),
    inference(subst,[],[refute_0_12489:[bind(X_118,$fot(X_19))]]) ).

cnf(refute_0_12491,plain,
    product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(c,a,a))),bind(D,$fot(bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12492,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),product(bigC(c,a,a),quotient(product(c,a),bigC(c,a,a)))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(c,a))),bind(X_30,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_12493,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),product(bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),product(bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))) ),[1,1,1],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_12494,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),product(bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,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_2347,refute_0_12493]) ).

cnf(refute_0_12495,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),product(bigC(c,a,a),quotient(product(c,a),bigC(c,a,a))))) )],[refute_0_12492,refute_0_12494]) ).

cnf(refute_0_12496,plain,
    bigC(product(c,a),bigC(a,b,c),product(a,c)) = bigC(product(c,a),product(a,c),bigC(a,b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,a))),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_12497,plain,
    product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) = bigC(product(c,a),bigC(a,b,c),product(a,c)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(bigC(a,b,c))),bind(X_23,$fot(a)),bind(X_24,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_12498,plain,
    ( bigC(product(c,a),bigC(a,b,c),product(a,c)) != bigC(product(c,a),product(a,c),bigC(a,b,c))
    | product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) != bigC(product(c,a),bigC(a,b,c),product(a,c))
    | product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) = bigC(product(c,a),product(a,c),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))),bind(Y,$fot(bigC(product(c,a),bigC(a,b,c),product(a,c)))),bind(Z,$fot(bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12499,plain,
    ( bigC(product(c,a),bigC(a,b,c),product(a,c)) != bigC(product(c,a),product(a,c),bigC(a,b,c))
    | product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) = bigC(product(c,a),product(a,c),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))),bigC(product(c,a),bigC(a,b,c),product(a,c))) )],[refute_0_12497,refute_0_12498]) ).

cnf(refute_0_12500,plain,
    product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) = bigC(product(c,a),product(a,c),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(a,b,c),product(a,c)),bigC(product(c,a),product(a,c),bigC(a,b,c))) )],[refute_0_12496,refute_0_12499]) ).

cnf(refute_0_12501,plain,
    product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) = product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))))]]) ).

cnf(refute_0_12502,plain,
    ( product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) != bigC(product(c,a),product(a,c),bigC(a,b,c))
    | product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) != product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))
    | product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))),product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))) ),[1,1],$fot(bigC(product(c,a),product(a,c),bigC(a,b,c)))]]) ).

cnf(refute_0_12503,plain,
    ( product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))) != bigC(product(c,a),product(a,c),bigC(a,b,c))
    | product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))),product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))) )],[refute_0_12501,refute_0_12502]) ).

cnf(refute_0_12504,plain,
    product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))),bigC(product(c,a),product(a,c),bigC(a,b,c))) )],[refute_0_12500,refute_0_12503]) ).

cnf(refute_0_12505,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))
    | product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[0],$fot(product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))))]]) ).

cnf(refute_0_12506,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a)))),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12504,refute_0_12505]) ).

cnf(refute_0_12507,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),product(bigC(c,a,a),product(bigC(a,b,c),product(c,a))))) )],[refute_0_12495,refute_0_12506]) ).

cnf(refute_0_12508,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))),bind(Y,$fot(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))))]]) ).

cnf(refute_0_12509,plain,
    product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12507,refute_0_12508]) ).

cnf(refute_0_12510,plain,
    ( product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) != difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))) ),[1,1],$fot(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))]]) ).

cnf(refute_0_12511,plain,
    ( product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) )],[refute_0_12509,refute_0_12510]) ).

cnf(refute_0_12512,plain,
    product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))) )],[refute_0_12491,refute_0_12511]) ).

cnf(refute_0_12513,plain,
    product(A,bigC(c,a,a)) = product(A,bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(product(A,bigC(c,a,a)))]]) ).

cnf(refute_0_12514,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(A,bigC(c,a,a)) != product(A,bigC(c,a,a))
    | product(A,bigC(c,a,a)) = product(A,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,bigC(c,a,a)),product(A,bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12515,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(A,bigC(c,a,a)) = product(A,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,a,a)),product(A,bigC(c,a,a))) )],[refute_0_12513,refute_0_12514]) ).

cnf(refute_0_12516,plain,
    product(A,bigC(c,a,a)) = product(A,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12515]) ).

cnf(refute_0_12517,plain,
    product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))))]]) ).

cnf(refute_0_12518,plain,
    ( product(A,bigC(c,a,a)) != product(A,bigC(a,a,c))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))) ),[1,0],$fot(product(A,bigC(a,a,c)))]]) ).

cnf(refute_0_12519,plain,
    ( product(A,bigC(c,a,a)) != product(A,bigC(a,a,c))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))) )],[refute_0_12517,refute_0_12518]) ).

cnf(refute_0_12520,plain,
    product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,a,a)),product(A,bigC(a,a,c))) )],[refute_0_12516,refute_0_12519]) ).

cnf(refute_0_12521,plain,
    ( product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) ),[0],$fot(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))))]]) ).

cnf(refute_0_12522,plain,
    ( product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))) )],[refute_0_12520,refute_0_12521]) ).

cnf(refute_0_12523,plain,
    difference(product(bigC(c,a,c),a),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,c),a),bigC(c,a,a)))]]) ).

cnf(refute_0_12524,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | difference(product(bigC(c,a,c),a),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(c,a,a))
    | difference(product(bigC(c,a,c),a),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12525,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | difference(product(bigC(c,a,c),a),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(c,a,a))) )],[refute_0_12523,refute_0_12524]) ).

cnf(refute_0_12526,plain,
    difference(product(bigC(c,a,c),a),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12525]) ).

cnf(refute_0_12527,plain,
    product(product(c,a),bigC(a,a,c)) = product(bigC(c,a,c),a),
    inference(subst,[],[refute_0_9456:[bind(X_19,$fot(c)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_12528,plain,
    product(product(c,a),bigC(c,a,a)) = product(product(c,a),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(product(product(c,a),bigC(c,a,a)))]]) ).

cnf(refute_0_12529,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(c,a),bigC(c,a,a)) != product(product(c,a),bigC(c,a,a))
    | product(product(c,a),bigC(c,a,a)) = product(product(c,a),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),bigC(c,a,a)),product(product(c,a),bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12530,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(c,a),bigC(c,a,a)) = product(product(c,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,a)),product(product(c,a),bigC(c,a,a))) )],[refute_0_12528,refute_0_12529]) ).

cnf(refute_0_12531,plain,
    product(product(c,a),bigC(c,a,a)) = product(product(c,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12530]) ).

cnf(refute_0_12532,plain,
    ( product(product(c,a),bigC(a,a,c)) != product(bigC(c,a,c),a)
    | product(product(c,a),bigC(c,a,a)) != product(product(c,a),bigC(a,a,c))
    | product(product(c,a),bigC(c,a,a)) = product(bigC(c,a,c),a) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),bigC(c,a,a)))),bind(Y,$fot(product(product(c,a),bigC(a,a,c)))),bind(Z,$fot(product(bigC(c,a,c),a)))]]) ).

cnf(refute_0_12533,plain,
    ( product(product(c,a),bigC(a,a,c)) != product(bigC(c,a,c),a)
    | product(product(c,a),bigC(c,a,a)) = product(bigC(c,a,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,a)),product(product(c,a),bigC(a,a,c))) )],[refute_0_12531,refute_0_12532]) ).

cnf(refute_0_12534,plain,
    product(product(c,a),bigC(c,a,a)) = product(bigC(c,a,c),a),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,c)),product(bigC(c,a,c),a)) )],[refute_0_12527,refute_0_12533]) ).

cnf(refute_0_12535,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))]]) ).

cnf(refute_0_12536,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))
    | product(product(c,a),bigC(c,a,a)) != product(bigC(c,a,c),a)
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(c,a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) ),[1,0],$fot(product(bigC(c,a,c),a))]]) ).

cnf(refute_0_12537,plain,
    ( product(product(c,a),bigC(c,a,a)) != product(bigC(c,a,c),a)
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(c,a,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) )],[refute_0_12535,refute_0_12536]) ).

cnf(refute_0_12538,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(c,a,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,a)),product(bigC(c,a,c),a)) )],[refute_0_12534,refute_0_12537]) ).

cnf(refute_0_12539,plain,
    ( difference(product(bigC(c,a,c),a),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(c,a,a))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))),bind(Y,$fot(difference(product(bigC(c,a,c),a),bigC(c,a,a)))),bind(Z,$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c))))]]) ).

cnf(refute_0_12540,plain,
    ( difference(product(bigC(c,a,c),a),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(c,a,a))) )],[refute_0_12538,refute_0_12539]) ).

cnf(refute_0_12541,plain,
    difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12526,refute_0_12540]) ).

cnf(refute_0_12542,plain,
    product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) = product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))),
    introduced(tautology,[refl,[$fot(product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))))]]) ).

cnf(refute_0_12543,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) ),[1,1],$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c)))]]) ).

cnf(refute_0_12544,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) )],[refute_0_12542,refute_0_12543]) ).

cnf(refute_0_12545,plain,
    product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12541,refute_0_12544]) ).

cnf(refute_0_12546,plain,
    ( product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) ),[1],$fot(product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))))]]) ).

cnf(refute_0_12547,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) )],[refute_0_12545,refute_0_12546]) ).

cnf(refute_0_12548,plain,
    ( product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) )],[refute_0_12522,refute_0_12547]) ).

cnf(refute_0_12549,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,a)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))) )],[refute_0_12512,refute_0_12548]) ).

cnf(refute_0_12550,plain,
    bigC(a,bigC(a,b,c),c) = bigC(a,c,bigC(a,b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_12551,plain,
    bigC(product(c,a),product(a,c),bigC(a,b,c)) = bigC(a,bigC(a,b,c),c),
    inference(subst,[],[refute_0_11020:[bind(X_19,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_12552,plain,
    ( bigC(a,bigC(a,b,c),c) != bigC(a,c,bigC(a,b,c))
    | bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,bigC(a,b,c),c)
    | bigC(product(c,a),product(a,c),bigC(a,b,c)) = bigC(a,c,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(a,c),bigC(a,b,c)))),bind(Y,$fot(bigC(a,bigC(a,b,c),c))),bind(Z,$fot(bigC(a,c,bigC(a,b,c))))]]) ).

cnf(refute_0_12553,plain,
    ( bigC(a,bigC(a,b,c),c) != bigC(a,c,bigC(a,b,c))
    | bigC(product(c,a),product(a,c),bigC(a,b,c)) = bigC(a,c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,bigC(a,b,c),c)) )],[refute_0_12551,refute_0_12552]) ).

cnf(refute_0_12554,plain,
    bigC(product(c,a),product(a,c),bigC(a,b,c)) = bigC(a,c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,bigC(a,b,c),c),bigC(a,c,bigC(a,b,c))) )],[refute_0_12550,refute_0_12553]) ).

cnf(refute_0_12555,plain,
    product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12556,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(C,bigC(a,c,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[1,1],$fot(bigC(a,c,bigC(a,b,c)))]]) ).

cnf(refute_0_12557,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(C,bigC(a,c,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12555,refute_0_12556]) ).

cnf(refute_0_12558,plain,
    product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(C,bigC(a,c,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,c,bigC(a,b,c))) )],[refute_0_12554,refute_0_12557]) ).

cnf(refute_0_12559,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))))]]) ).

cnf(refute_0_12560,plain,
    ( product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(C,bigC(a,c,bigC(a,b,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))) ),[1,1],$fot(product(C,bigC(a,c,bigC(a,b,c))))]]) ).

cnf(refute_0_12561,plain,
    ( product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(C,bigC(a,c,bigC(a,b,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))))) )],[refute_0_12559,refute_0_12560]) ).

cnf(refute_0_12562,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(C,bigC(product(c,a),product(a,c),bigC(a,b,c))),product(C,bigC(a,c,bigC(a,b,c)))) )],[refute_0_12558,refute_0_12561]) ).

cnf(refute_0_12563,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c))))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) ),[0],$fot(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))))]]) ).

cnf(refute_0_12564,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c))))) )],[refute_0_12562,refute_0_12563]) ).

cnf(refute_0_12565,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(product(c,a),product(a,c),bigC(a,b,c)))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) )],[refute_0_12549,refute_0_12564]) ).

cnf(refute_0_12566,plain,
    bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),bigC(a,a,c)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(bigC(a,a,c))),bind(X_18,$fot(quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_12567,plain,
    quotient(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),bigC(c,a,a)) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(bigC(c,a,a))),bind(X_44,$fot(bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12568,plain,
    ( product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) != difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))
    | quotient(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),bigC(c,a,a)) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),bigC(c,a,a)),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) ),[0,0],$fot(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)))]]) ).

cnf(refute_0_12569,plain,
    ( quotient(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),bigC(c,a,a)) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a))) )],[refute_0_12509,refute_0_12568]) ).

cnf(refute_0_12570,plain,
    quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),bigC(c,a,a)),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12567,refute_0_12569]) ).

cnf(refute_0_12571,plain,
    difference(product(X_77,X_78),bigC(X_77,X_78,X_79)) = product(X_79,X_77),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(X_77)),bind(X_18,$fot(X_78)),bind(X_19,$fot(X_79))]]) ).

cnf(refute_0_12572,plain,
    bigC(X_77,X_79,X_78) = bigC(X_77,X_78,X_79),
    inference(subst,[],[refute_0_121:[bind(A,$fot(X_77)),bind(B,$fot(X_79)),bind(C,$fot(X_78))]]) ).

cnf(refute_0_12573,plain,
    ( bigC(X_77,X_79,X_78) != bigC(X_77,X_78,X_79)
    | bigC(X_77,X_78,X_79) = bigC(X_77,X_79,X_78) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(X_77,X_79,X_78))),bind(Y,$fot(bigC(X_77,X_78,X_79)))]]) ).

cnf(refute_0_12574,plain,
    bigC(X_77,X_78,X_79) = bigC(X_77,X_79,X_78),
    inference(resolve,[$cnf( $equal(bigC(X_77,X_79,X_78),bigC(X_77,X_78,X_79)) )],[refute_0_12572,refute_0_12573]) ).

cnf(refute_0_12575,plain,
    ( bigC(X_77,X_78,X_79) != bigC(X_77,X_79,X_78)
    | difference(product(X_77,X_78),bigC(X_77,X_78,X_79)) != product(X_79,X_77)
    | difference(product(X_77,X_78),bigC(X_77,X_79,X_78)) = product(X_79,X_77) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_77,X_78),bigC(X_77,X_78,X_79)),product(X_79,X_77)) ),[0,1],$fot(bigC(X_77,X_79,X_78))]]) ).

cnf(refute_0_12576,plain,
    ( difference(product(X_77,X_78),bigC(X_77,X_78,X_79)) != product(X_79,X_77)
    | difference(product(X_77,X_78),bigC(X_77,X_79,X_78)) = product(X_79,X_77) ),
    inference(resolve,[$cnf( $equal(bigC(X_77,X_78,X_79),bigC(X_77,X_79,X_78)) )],[refute_0_12574,refute_0_12575]) ).

cnf(refute_0_12577,plain,
    difference(product(X_77,X_78),bigC(X_77,X_79,X_78)) = product(X_79,X_77),
    inference(resolve,[$cnf( $equal(difference(product(X_77,X_78),bigC(X_77,X_78,X_79)),product(X_79,X_77)) )],[refute_0_12571,refute_0_12576]) ).

cnf(refute_0_12578,plain,
    difference(product(c,a),bigC(c,a,a)) = product(a,c),
    inference(subst,[],[refute_0_12577:[bind(X_77,$fot(c)),bind(X_78,$fot(a)),bind(X_79,$fot(a))]]) ).

cnf(refute_0_12579,plain,
    quotient(product(B,product(B,quotient(X_56,B))),B) = product(B,quotient(product(B,quotient(X_56,B)),B)),
    inference(subst,[],[refute_0_272:[bind(X_44,$fot(product(B,quotient(X_56,B))))]]) ).

cnf(refute_0_12580,plain,
    difference(product(X_56,B),B) = product(B,product(B,quotient(X_56,B))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(X_56)),bind(X_30,$fot(B))]]) ).

cnf(refute_0_12581,plain,
    ( difference(product(X_56,B),B) != product(B,product(B,quotient(X_56,B)))
    | product(B,product(B,quotient(X_56,B))) = difference(product(X_56,B),B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(X_56,B),B))),bind(Y,$fot(product(B,product(B,quotient(X_56,B)))))]]) ).

cnf(refute_0_12582,plain,
    product(B,product(B,quotient(X_56,B))) = difference(product(X_56,B),B),
    inference(resolve,[$cnf( $equal(difference(product(X_56,B),B),product(B,product(B,quotient(X_56,B)))) )],[refute_0_12580,refute_0_12581]) ).

cnf(refute_0_12583,plain,
    ( product(B,product(B,quotient(X_56,B))) != difference(product(X_56,B),B)
    | quotient(product(B,product(B,quotient(X_56,B))),B) != product(B,quotient(product(B,quotient(X_56,B)),B))
    | quotient(difference(product(X_56,B),B),B) = product(B,quotient(product(B,quotient(X_56,B)),B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(B,product(B,quotient(X_56,B))),B),product(B,quotient(product(B,quotient(X_56,B)),B))) ),[0,0],$fot(difference(product(X_56,B),B))]]) ).

cnf(refute_0_12584,plain,
    ( quotient(product(B,product(B,quotient(X_56,B))),B) != product(B,quotient(product(B,quotient(X_56,B)),B))
    | quotient(difference(product(X_56,B),B),B) = product(B,quotient(product(B,quotient(X_56,B)),B)) ),
    inference(resolve,[$cnf( $equal(product(B,product(B,quotient(X_56,B))),difference(product(X_56,B),B)) )],[refute_0_12582,refute_0_12583]) ).

cnf(refute_0_12585,plain,
    quotient(difference(product(X_56,B),B),B) = product(B,quotient(product(B,quotient(X_56,B)),B)),
    inference(resolve,[$cnf( $equal(quotient(product(B,product(B,quotient(X_56,B))),B),product(B,quotient(product(B,quotient(X_56,B)),B))) )],[refute_0_12579,refute_0_12584]) ).

cnf(refute_0_12586,plain,
    product(quotient(X_56,B),B) = X_56,
    inference(subst,[],[refute_0_52:[bind(A,$fot(X_56))]]) ).

cnf(refute_0_12587,plain,
    difference(product(quotient(X_56,B),B),B) = difference(product(quotient(X_56,B),B),B),
    introduced(tautology,[refl,[$fot(difference(product(quotient(X_56,B),B),B))]]) ).

cnf(refute_0_12588,plain,
    ( difference(product(quotient(X_56,B),B),B) != difference(product(quotient(X_56,B),B),B)
    | product(quotient(X_56,B),B) != X_56
    | difference(product(quotient(X_56,B),B),B) = difference(X_56,B) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(X_56,B),B),B),difference(product(quotient(X_56,B),B),B)) ),[1,0],$fot(X_56)]]) ).

cnf(refute_0_12589,plain,
    ( product(quotient(X_56,B),B) != X_56
    | difference(product(quotient(X_56,B),B),B) = difference(X_56,B) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(X_56,B),B),B),difference(product(quotient(X_56,B),B),B)) )],[refute_0_12587,refute_0_12588]) ).

cnf(refute_0_12590,plain,
    difference(product(quotient(X_56,B),B),B) = difference(X_56,B),
    inference(resolve,[$cnf( $equal(product(quotient(X_56,B),B),X_56) )],[refute_0_12586,refute_0_12589]) ).

cnf(refute_0_12591,plain,
    product(B,product(B,quotient(quotient(X_56,B),B))) = difference(product(quotient(X_56,B),B),B),
    inference(subst,[],[refute_0_296:[bind(A,$fot(quotient(X_56,B))),bind(X_30,$fot(B))]]) ).

cnf(refute_0_12592,plain,
    ( difference(product(quotient(X_56,B),B),B) != difference(X_56,B)
    | product(B,product(B,quotient(quotient(X_56,B),B))) != difference(product(quotient(X_56,B),B),B)
    | product(B,product(B,quotient(quotient(X_56,B),B))) = difference(X_56,B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(B,product(B,quotient(quotient(X_56,B),B))))),bind(Y,$fot(difference(product(quotient(X_56,B),B),B))),bind(Z,$fot(difference(X_56,B)))]]) ).

cnf(refute_0_12593,plain,
    ( difference(product(quotient(X_56,B),B),B) != difference(X_56,B)
    | product(B,product(B,quotient(quotient(X_56,B),B))) = difference(X_56,B) ),
    inference(resolve,[$cnf( $equal(product(B,product(B,quotient(quotient(X_56,B),B))),difference(product(quotient(X_56,B),B),B)) )],[refute_0_12591,refute_0_12592]) ).

cnf(refute_0_12594,plain,
    product(B,product(B,quotient(quotient(X_56,B),B))) = difference(X_56,B),
    inference(resolve,[$cnf( $equal(difference(product(quotient(X_56,B),B),B),difference(X_56,B)) )],[refute_0_12590,refute_0_12593]) ).

cnf(refute_0_12595,plain,
    quotient(product(B,quotient(X_56,B)),B) = product(B,quotient(quotient(X_56,B),B)),
    inference(subst,[],[refute_0_272:[bind(X_44,$fot(quotient(X_56,B)))]]) ).

cnf(refute_0_12596,plain,
    product(B,quotient(product(B,quotient(X_56,B)),B)) = product(B,quotient(product(B,quotient(X_56,B)),B)),
    introduced(tautology,[refl,[$fot(product(B,quotient(product(B,quotient(X_56,B)),B)))]]) ).

cnf(refute_0_12597,plain,
    ( product(B,quotient(product(B,quotient(X_56,B)),B)) != product(B,quotient(product(B,quotient(X_56,B)),B))
    | quotient(product(B,quotient(X_56,B)),B) != product(B,quotient(quotient(X_56,B),B))
    | product(B,quotient(product(B,quotient(X_56,B)),B)) = product(B,product(B,quotient(quotient(X_56,B),B))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,quotient(product(B,quotient(X_56,B)),B)),product(B,quotient(product(B,quotient(X_56,B)),B))) ),[1,1],$fot(product(B,quotient(quotient(X_56,B),B)))]]) ).

cnf(refute_0_12598,plain,
    ( quotient(product(B,quotient(X_56,B)),B) != product(B,quotient(quotient(X_56,B),B))
    | product(B,quotient(product(B,quotient(X_56,B)),B)) = product(B,product(B,quotient(quotient(X_56,B),B))) ),
    inference(resolve,[$cnf( $equal(product(B,quotient(product(B,quotient(X_56,B)),B)),product(B,quotient(product(B,quotient(X_56,B)),B))) )],[refute_0_12596,refute_0_12597]) ).

cnf(refute_0_12599,plain,
    product(B,quotient(product(B,quotient(X_56,B)),B)) = product(B,product(B,quotient(quotient(X_56,B),B))),
    inference(resolve,[$cnf( $equal(quotient(product(B,quotient(X_56,B)),B),product(B,quotient(quotient(X_56,B),B))) )],[refute_0_12595,refute_0_12598]) ).

cnf(refute_0_12600,plain,
    ( product(B,product(B,quotient(quotient(X_56,B),B))) != difference(X_56,B)
    | product(B,quotient(product(B,quotient(X_56,B)),B)) != product(B,product(B,quotient(quotient(X_56,B),B)))
    | product(B,quotient(product(B,quotient(X_56,B)),B)) = difference(X_56,B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(B,quotient(product(B,quotient(X_56,B)),B)))),bind(Y,$fot(product(B,product(B,quotient(quotient(X_56,B),B))))),bind(Z,$fot(difference(X_56,B)))]]) ).

cnf(refute_0_12601,plain,
    ( product(B,product(B,quotient(quotient(X_56,B),B))) != difference(X_56,B)
    | product(B,quotient(product(B,quotient(X_56,B)),B)) = difference(X_56,B) ),
    inference(resolve,[$cnf( $equal(product(B,quotient(product(B,quotient(X_56,B)),B)),product(B,product(B,quotient(quotient(X_56,B),B)))) )],[refute_0_12599,refute_0_12600]) ).

cnf(refute_0_12602,plain,
    product(B,quotient(product(B,quotient(X_56,B)),B)) = difference(X_56,B),
    inference(resolve,[$cnf( $equal(product(B,product(B,quotient(quotient(X_56,B),B))),difference(X_56,B)) )],[refute_0_12594,refute_0_12601]) ).

cnf(refute_0_12603,plain,
    ( product(B,quotient(product(B,quotient(X_56,B)),B)) != difference(X_56,B)
    | quotient(difference(product(X_56,B),B),B) != product(B,quotient(product(B,quotient(X_56,B)),B))
    | quotient(difference(product(X_56,B),B),B) = difference(X_56,B) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(X_56,B),B),B),product(B,quotient(product(B,quotient(X_56,B)),B))) ),[1],$fot(difference(X_56,B))]]) ).

cnf(refute_0_12604,plain,
    ( quotient(difference(product(X_56,B),B),B) != product(B,quotient(product(B,quotient(X_56,B)),B))
    | quotient(difference(product(X_56,B),B),B) = difference(X_56,B) ),
    inference(resolve,[$cnf( $equal(product(B,quotient(product(B,quotient(X_56,B)),B)),difference(X_56,B)) )],[refute_0_12602,refute_0_12603]) ).

cnf(refute_0_12605,plain,
    quotient(difference(product(X_56,B),B),B) = difference(X_56,B),
    inference(resolve,[$cnf( $equal(quotient(difference(product(X_56,B),B),B),product(B,quotient(product(B,quotient(X_56,B)),B))) )],[refute_0_12585,refute_0_12604]) ).

cnf(refute_0_12606,plain,
    quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = difference(product(c,a),bigC(c,a,a)),
    inference(subst,[],[refute_0_12605:[bind(B,$fot(bigC(c,a,a))),bind(X_56,$fot(product(c,a)))]]) ).

cnf(refute_0_12607,plain,
    ( difference(product(c,a),bigC(c,a,a)) != product(a,c)
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) != difference(product(c,a),bigC(c,a,a))
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)))),bind(Y,$fot(difference(product(c,a),bigC(c,a,a)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_12608,plain,
    ( difference(product(c,a),bigC(c,a,a)) != product(a,c)
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)),difference(product(c,a),bigC(c,a,a))) )],[refute_0_12606,refute_0_12607]) ).

cnf(refute_0_12609,plain,
    quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(c,a,a)),product(a,c)) )],[refute_0_12578,refute_0_12608]) ).

cnf(refute_0_12610,plain,
    ( quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) != product(a,c)
    | quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(a,c) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_12611,plain,
    ( quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(a,c) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)),product(a,c)) )],[refute_0_12609,refute_0_12610]) ).

cnf(refute_0_12612,plain,
    product(a,c) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12570,refute_0_12611]) ).

cnf(refute_0_12613,plain,
    quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) = quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))]]) ).

cnf(refute_0_12614,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) != quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) = quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12615,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) = quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) )],[refute_0_12613,refute_0_12614]) ).

cnf(refute_0_12616,plain,
    quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) = quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12615]) ).

cnf(refute_0_12617,plain,
    product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))))]]) ).

cnf(refute_0_12618,plain,
    ( product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) != quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) ),[1,1],$fot(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_12619,plain,
    ( quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)) != quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12617,refute_0_12618]) ).

cnf(refute_0_12620,plain,
    product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_12616,refute_0_12619]) ).

cnf(refute_0_12621,plain,
    product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))))]]) ).

cnf(refute_0_12622,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12623,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12621,refute_0_12622]) ).

cnf(refute_0_12624,plain,
    product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12623]) ).

cnf(refute_0_12625,plain,
    ( product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))))),bind(Y,$fot(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))))),bind(Z,$fot(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))))]]) ).

cnf(refute_0_12626,plain,
    ( product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12624,refute_0_12625]) ).

cnf(refute_0_12627,plain,
    product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12620,refute_0_12626]) ).

cnf(refute_0_12628,plain,
    ( product(a,c) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | product(a,c) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,c),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) ),[0],$fot(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))))]]) ).

cnf(refute_0_12629,plain,
    ( product(a,c) != product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))
    | product(a,c) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12627,refute_0_12628]) ).

cnf(refute_0_12630,plain,
    product(a,c) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(a,c),product(bigC(c,a,a),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(c,a,a)))) )],[refute_0_12612,refute_0_12629]) ).

cnf(refute_0_12631,plain,
    quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) = quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_12632,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) != quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) = quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) ),[1,0],$fot(bigC(a,c,bigC(a,b,c)))]]) ).

cnf(refute_0_12633,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) = quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_12631,refute_0_12632]) ).

cnf(refute_0_12634,plain,
    quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) = quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,c,bigC(a,b,c))) )],[refute_0_12554,refute_0_12633]) ).

cnf(refute_0_12635,plain,
    product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_12636,plain,
    ( product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) != quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) ),[1,1],$fot(quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_12637,plain,
    ( quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)) != quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12635,refute_0_12636]) ).

cnf(refute_0_12638,plain,
    product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_12634,refute_0_12637]) ).

cnf(refute_0_12639,plain,
    ( product(a,c) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))) != product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))
    | product(a,c) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,c),product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))) ),[0],$fot(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_12640,plain,
    ( product(a,c) != product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))
    | product(a,c) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c))),product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12638,refute_0_12639]) ).

cnf(refute_0_12641,plain,
    product(a,c) = product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(a,c),product(bigC(a,a,c),quotient(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12630,refute_0_12640]) ).

cnf(refute_0_12642,plain,
    ( product(a,c) != product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))
    | product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) = product(a,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))))]]) ).

cnf(refute_0_12643,plain,
    product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)))) )],[refute_0_12641,refute_0_12642]) ).

cnf(refute_0_12644,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),bigC(a,a,c))
    | product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))) != product(a,c)
    | bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(a,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),bigC(a,a,c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_12645,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),bigC(a,a,c))
    | bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(a,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),product(a,c)) )],[refute_0_12643,refute_0_12644]) ).

cnf(refute_0_12646,plain,
    bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(a,c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c))),bigC(a,a,c))) )],[refute_0_12566,refute_0_12645]) ).

cnf(refute_0_12647,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[0],$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c)))]]) ).

cnf(refute_0_12648,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12541,refute_0_12647]) ).

cnf(refute_0_12649,plain,
    product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12650,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12651,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12649,refute_0_12650]) ).

cnf(refute_0_12652,plain,
    product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_2227,refute_0_12651]) ).

cnf(refute_0_12653,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[0],$fot(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12654,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12652,refute_0_12653]) ).

cnf(refute_0_12655,plain,
    ( difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)) != product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12648,refute_0_12654]) ).

cnf(refute_0_12656,plain,
    difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),bigC(c,a,a)),bigC(c,a,a)),product(bigC(c,a,a),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12507,refute_0_12655]) ).

cnf(refute_0_12657,plain,
    product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12658,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))) ),[1,1],$fot(bigC(a,c,bigC(a,b,c)))]]) ).

cnf(refute_0_12659,plain,
    ( bigC(product(c,a),product(a,c),bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12657,refute_0_12658]) ).

cnf(refute_0_12660,plain,
    product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,c),bigC(a,b,c)),bigC(a,c,bigC(a,b,c))) )],[refute_0_12554,refute_0_12659]) ).

cnf(refute_0_12661,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))) != product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))) ),[0],$fot(product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))))]]) ).

cnf(refute_0_12662,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c))),product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))) )],[refute_0_12660,refute_0_12661]) ).

cnf(refute_0_12663,plain,
    difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(bigC(a,a,c),bigC(product(c,a),product(a,c),bigC(a,b,c)))) )],[refute_0_12656,refute_0_12662]) ).

cnf(refute_0_12664,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))
    | product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c)))),bind(Y,$fot(product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))))]]) ).

cnf(refute_0_12665,plain,
    product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) = difference(product(bigC(c,a,c),a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))) )],[refute_0_12663,refute_0_12664]) ).

cnf(refute_0_12666,plain,
    product(bigC(a,a,c),bigC(a,a,c)) = bigC(a,a,c),
    inference(subst,[],[refute_0_22:[bind(A,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12667,plain,
    product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))))]]) ).

cnf(refute_0_12668,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) != product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c)))
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12669,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c)))) )],[refute_0_12667,refute_0_12668]) ).

cnf(refute_0_12670,plain,
    product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,a,c)) )],[refute_0_12666,refute_0_12669]) ).

cnf(refute_0_12671,plain,
    ( product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) != product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))))),bind(Y,$fot(product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))))),bind(Z,$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c))))]]) ).

cnf(refute_0_12672,plain,
    ( product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),product(bigC(a,a,c),bigC(a,c,bigC(a,b,c)))) )],[refute_0_12670,refute_0_12671]) ).

cnf(refute_0_12673,plain,
    product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) = difference(product(bigC(c,a,c),a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,c,bigC(a,b,c))),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12665,refute_0_12672]) ).

cnf(refute_0_12674,plain,
    bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(a,a,c))),bind(C,$fot(bigC(a,a,c))),bind(X_44,$fot(bigC(a,c,bigC(a,b,c))))]]) ).

cnf(refute_0_12675,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c)))
    | product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)))),bind(Y,$fot(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))))),bind(Z,$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c))))]]) ).

cnf(refute_0_12676,plain,
    ( product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c)))) )],[refute_0_12674,refute_0_12675]) ).

cnf(refute_0_12677,plain,
    bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) = difference(product(bigC(c,a,c),a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,c,bigC(a,b,c))),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12673,refute_0_12676]) ).

cnf(refute_0_12678,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != difference(product(bigC(c,a,c),a),bigC(a,a,c))
    | bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(a,c),bigC(a,a,c))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(product(a,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(a,c),bigC(a,a,c))) ),[0],$fot(difference(product(bigC(c,a,c),a),bigC(a,a,c)))]]) ).

cnf(refute_0_12679,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(a,c),bigC(a,a,c))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = product(product(a,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),difference(product(bigC(c,a,c),a),bigC(a,a,c))) )],[refute_0_12677,refute_0_12678]) ).

cnf(refute_0_12680,plain,
    product(product(a,c),bigC(a,a,c)) = bigC(a,c,product(a,c)),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(c)),bind(X_45,$fot(a)),bind(X_46,$fot(c))]]) ).

cnf(refute_0_12681,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(product(a,c),bigC(a,a,c))
    | product(product(a,c),bigC(a,a,c)) != bigC(a,c,product(a,c))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = bigC(a,c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),bigC(a,c,product(a,c))) ),[0],$fot(product(product(a,c),bigC(a,a,c)))]]) ).

cnf(refute_0_12682,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != product(product(a,c),bigC(a,a,c))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = bigC(a,c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(a,a,c)),bigC(a,c,product(a,c))) )],[refute_0_12680,refute_0_12681]) ).

cnf(refute_0_12683,plain,
    ( bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(a,c),bigC(a,a,c))
    | difference(product(bigC(c,a,c),a),bigC(a,a,c)) = bigC(a,c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),product(product(a,c),bigC(a,a,c))) )],[refute_0_12679,refute_0_12682]) ).

cnf(refute_0_12684,plain,
    difference(product(bigC(c,a,c),a),bigC(a,a,c)) = bigC(a,c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),quotient(bigC(a,c,bigC(a,b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(a,c),bigC(a,a,c))) )],[refute_0_12646,refute_0_12683]) ).

cnf(refute_0_12685,plain,
    product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) = product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))))]]) ).

cnf(refute_0_12686,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != bigC(a,c,product(a,c))
    | product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,c,product(a,c)))]]) ).

cnf(refute_0_12687,plain,
    ( difference(product(bigC(c,a,c),a),bigC(a,a,c)) != bigC(a,c,product(a,c))
    | product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) )],[refute_0_12685,refute_0_12686]) ).

cnf(refute_0_12688,plain,
    product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) = product(product(A,C),bigC(a,c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),a),bigC(a,a,c)),bigC(a,c,product(a,c))) )],[refute_0_12684,refute_0_12687]) ).

cnf(refute_0_12689,plain,
    ( product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) ),[1],$fot(product(product(A,C),bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_12690,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c))),product(product(A,C),bigC(a,c,product(a,c)))) )],[refute_0_12688,refute_0_12689]) ).

cnf(refute_0_12691,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,C),bigC(a,c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,C),difference(product(bigC(c,a,c),a),bigC(a,a,c)))) )],[refute_0_12565,refute_0_12690]) ).

cnf(refute_0_12692,plain,
    bigC(a,c,bigC(a,b,c)) = bigC(a,c,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(a,c,bigC(a,b,c)))]]) ).

cnf(refute_0_12693,plain,
    ( bigC(a,b,c) != c
    | bigC(a,c,bigC(a,b,c)) != bigC(a,c,bigC(a,b,c))
    | bigC(a,c,bigC(a,b,c)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,bigC(a,b,c)),bigC(a,c,bigC(a,b,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_12694,plain,
    ( bigC(a,b,c) != c
    | bigC(a,c,bigC(a,b,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(a,b,c)),bigC(a,c,bigC(a,b,c))) )],[refute_0_12692,refute_0_12693]) ).

cnf(refute_0_12695,plain,
    bigC(a,c,bigC(a,b,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_12694]) ).

cnf(refute_0_12696,plain,
    ( bigC(a,c,bigC(a,b,c)) != bigC(a,c,c)
    | bigC(a,c,c) != bigC(a,a,b)
    | bigC(a,c,bigC(a,b,c)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,c,bigC(a,b,c)))),bind(Y,$fot(bigC(a,c,c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_12697,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | bigC(a,c,bigC(a,b,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(a,b,c)),bigC(a,c,c)) )],[refute_0_12695,refute_0_12696]) ).

cnf(refute_0_12698,plain,
    bigC(a,c,bigC(a,b,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_1941,refute_0_12697]) ).

cnf(refute_0_12699,plain,
    product(C,bigC(a,c,bigC(a,b,c))) = product(C,bigC(a,c,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(C,bigC(a,c,bigC(a,b,c))))]]) ).

cnf(refute_0_12700,plain,
    ( bigC(a,c,bigC(a,b,c)) != bigC(a,a,b)
    | product(C,bigC(a,c,bigC(a,b,c))) != product(C,bigC(a,c,bigC(a,b,c)))
    | product(C,bigC(a,c,bigC(a,b,c))) = product(C,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(a,c,bigC(a,b,c))),product(C,bigC(a,c,bigC(a,b,c)))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12701,plain,
    ( bigC(a,c,bigC(a,b,c)) != bigC(a,a,b)
    | product(C,bigC(a,c,bigC(a,b,c))) = product(C,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(a,c,bigC(a,b,c))),product(C,bigC(a,c,bigC(a,b,c)))) )],[refute_0_12699,refute_0_12700]) ).

cnf(refute_0_12702,plain,
    product(C,bigC(a,c,bigC(a,b,c))) = product(C,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(a,b,c)),bigC(a,a,b)) )],[refute_0_12698,refute_0_12701]) ).

cnf(refute_0_12703,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))))]]) ).

cnf(refute_0_12704,plain,
    ( product(C,bigC(a,c,bigC(a,b,c))) != product(C,bigC(a,a,b))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c))))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c))))) ),[1,1],$fot(product(C,bigC(a,a,b)))]]) ).

cnf(refute_0_12705,plain,
    ( product(C,bigC(a,c,bigC(a,b,c))) != product(C,bigC(a,a,b))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c))))) )],[refute_0_12703,refute_0_12704]) ).

cnf(refute_0_12706,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) = product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(C,bigC(a,c,bigC(a,b,c))),product(C,bigC(a,a,b))) )],[refute_0_12702,refute_0_12705]) ).

cnf(refute_0_12707,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,C),bigC(a,c,product(a,c)))) ),[0],$fot(product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_12708,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b)))) )],[refute_0_12706,refute_0_12707]) ).

cnf(refute_0_12709,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,c,bigC(a,b,c)))),product(product(A,C),bigC(a,c,product(a,c)))) )],[refute_0_12691,refute_0_12708]) ).

cnf(refute_0_12710,plain,
    product(product(A,C),bigC(a,c,product(a,c))) = product(product(A,C),bigC(a,c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_12711,plain,
    ( bigC(a,c,product(a,c)) != bigC(a,a,product(c,b))
    | product(product(A,C),bigC(a,c,product(a,c))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,C),bigC(a,c,product(a,c))) = product(product(A,C),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(a,c,product(a,c))),product(product(A,C),bigC(a,c,product(a,c)))) ),[1,1],$fot(bigC(a,a,product(c,b)))]]) ).

cnf(refute_0_12712,plain,
    ( bigC(a,c,product(a,c)) != bigC(a,a,product(c,b))
    | product(product(A,C),bigC(a,c,product(a,c))) = product(product(A,C),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(a,c,product(a,c))),product(product(A,C),bigC(a,c,product(a,c)))) )],[refute_0_12710,refute_0_12711]) ).

cnf(refute_0_12713,plain,
    product(product(A,C),bigC(a,c,product(a,c))) = product(product(A,C),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(a,c)),bigC(a,a,product(c,b))) )],[refute_0_12373,refute_0_12712]) ).

cnf(refute_0_12714,plain,
    ( product(product(A,C),bigC(a,c,product(a,c))) != product(product(A,C),bigC(a,a,product(c,b)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))),product(product(A,C),bigC(a,c,product(a,c)))) ),[1],$fot(product(product(A,C),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_12715,plain,
    ( product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) != product(product(A,C),bigC(a,c,product(a,c)))
    | product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(a,c,product(a,c))),product(product(A,C),bigC(a,a,product(c,b)))) )],[refute_0_12713,refute_0_12714]) ).

cnf(refute_0_12716,plain,
    product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))) = product(product(A,C),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,bigC(a,a,b))),product(product(A,C),bigC(a,c,product(a,c)))) )],[refute_0_12709,refute_0_12715]) ).

cnf(refute_0_12717,plain,
    product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) = product(product(c,X_19),bigC(a,a,product(c,b))),
    inference(subst,[],[refute_0_12716:[bind(A,$fot(c)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_12718,plain,
    ( product(product(c,X_19),bigC(a,a,product(c,b))) != bigC(a,X_19,product(b,product(a,c)))
    | product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) != product(product(c,X_19),bigC(a,a,product(c,b)))
    | product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))))),bind(Y,$fot(product(product(c,X_19),bigC(a,a,product(c,b))))),bind(Z,$fot(bigC(a,X_19,product(b,product(a,c)))))]]) ).

cnf(refute_0_12719,plain,
    ( product(product(c,X_19),bigC(a,a,product(c,b))) != bigC(a,X_19,product(b,product(a,c)))
    | product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))),product(product(c,X_19),bigC(a,a,product(c,b)))) )],[refute_0_12717,refute_0_12718]) ).

cnf(refute_0_12720,plain,
    product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,X_19),bigC(a,a,product(c,b))),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12490,refute_0_12719]) ).

cnf(refute_0_12721,plain,
    ( bigC(bigC(a,a,b),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))
    | product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))) != bigC(a,X_19,product(b,product(a,c)))
    | bigC(bigC(a,a,b),product(c,a),X_19) = bigC(a,X_19,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),product(c,a),X_19),bigC(a,X_19,product(b,product(a,c)))) ),[0],$fot(product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))))]]) ).

cnf(refute_0_12722,plain,
    ( bigC(bigC(a,a,b),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(c,a),X_19) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b))),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12720,refute_0_12721]) ).

cnf(refute_0_12723,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(c,a),X_19) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))) )],[refute_0_12349,refute_0_12722]) ).

cnf(refute_0_12724,plain,
    bigC(bigC(a,a,b),product(c,a),X_19) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,bigC(a,a,b)))) )],[refute_0_12343,refute_0_12723]) ).

cnf(refute_0_12725,plain,
    ( bigC(bigC(a,a,b),product(c,a),X_19) != bigC(a,X_19,product(b,product(a,c)))
    | bigC(bigC(a,a,b),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(a,X_19,product(b,product(a,c))) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) ),[0],$fot(bigC(a,X_19,product(b,product(a,c))))]]) ).

cnf(refute_0_12726,plain,
    ( bigC(bigC(a,a,b),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(a,X_19,product(b,product(a,c))) = product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,a),X_19),bigC(a,X_19,product(b,product(a,c)))) )],[refute_0_12724,refute_0_12725]) ).

cnf(refute_0_12727,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) = bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)))]]) ).

cnf(refute_0_12728,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) != bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a))
    | quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)),bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12729,plain,
    ( quotient(product(c,bigC(a,a,c)),product(c,a)) != bigC(a,a,b)
    | bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)),bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a))) )],[refute_0_12727,refute_0_12728]) ).

cnf(refute_0_12730,plain,
    bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) = bigC(bigC(a,a,b),X_19,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),product(c,a)),bigC(a,a,b)) )],[refute_0_12337,refute_0_12729]) ).

cnf(refute_0_12731,plain,
    product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) = bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)),
    inference(subst,[],[refute_0_11111:[bind(B,$fot(X_19)),bind(C,$fot(product(c,a))),bind(X_116,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_12732,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) != bigC(bigC(a,a,b),X_19,product(c,a))
    | product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) != bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a))
    | product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))))),bind(Y,$fot(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)))),bind(Z,$fot(bigC(bigC(a,a,b),X_19,product(c,a))))]]) ).

cnf(refute_0_12733,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)) != bigC(bigC(a,a,b),X_19,product(c,a))
    | product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))),bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a))) )],[refute_0_12731,refute_0_12732]) ).

cnf(refute_0_12734,plain,
    product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) = bigC(bigC(a,a,b),X_19,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),product(c,a)),X_19,product(c,a)),bigC(bigC(a,a,b),X_19,product(c,a))) )],[refute_0_12730,refute_0_12733]) ).

cnf(refute_0_12735,plain,
    ( bigC(a,X_19,product(b,product(a,c))) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))) != bigC(bigC(a,a,b),X_19,product(c,a))
    | bigC(a,X_19,product(b,product(a,c))) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_19,product(b,product(a,c))),bigC(bigC(a,a,b),X_19,product(c,a))) ),[0],$fot(product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))))]]) ).

cnf(refute_0_12736,plain,
    ( bigC(a,X_19,product(b,product(a,c))) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(a,X_19,product(b,product(a,c))) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a)))),bigC(bigC(a,a,b),X_19,product(c,a))) )],[refute_0_12734,refute_0_12735]) ).

cnf(refute_0_12737,plain,
    ( bigC(bigC(a,a,b),product(c,a),X_19) != product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))
    | bigC(a,X_19,product(b,product(a,c))) = bigC(bigC(a,a,b),X_19,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(b,product(a,c))),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) )],[refute_0_12726,refute_0_12736]) ).

cnf(refute_0_12738,plain,
    bigC(a,X_19,product(b,product(a,c))) = bigC(bigC(a,a,b),X_19,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,a),X_19),product(product(c,bigC(a,a,c)),product(X_19,quotient(product(c,bigC(a,a,c)),product(c,a))))) )],[refute_0_12340,refute_0_12737]) ).

cnf(refute_0_12739,plain,
    ( bigC(a,X_19,product(b,product(a,c))) != bigC(bigC(a,a,b),X_19,product(c,a))
    | bigC(bigC(a,a,b),X_19,product(c,a)) = bigC(a,X_19,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,X_19,product(b,product(a,c))))),bind(Y,$fot(bigC(bigC(a,a,b),X_19,product(c,a))))]]) ).

cnf(refute_0_12740,plain,
    bigC(bigC(a,a,b),X_19,product(c,a)) = bigC(a,X_19,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(b,product(a,c))),bigC(bigC(a,a,b),X_19,product(c,a))) )],[refute_0_12738,refute_0_12739]) ).

cnf(refute_0_12741,plain,
    bigC(bigC(a,a,b),b,product(c,a)) = bigC(a,b,product(b,product(a,c))),
    inference(subst,[],[refute_0_12740:[bind(X_19,$fot(b))]]) ).

cnf(refute_0_12742,plain,
    ( bigC(bigC(a,a,b),b,product(c,a)) != bigC(a,b,product(b,product(a,c)))
    | bigC(bigC(a,a,b),b,product(c,a)) != product(c,bigC(a,b,product(b,a)))
    | bigC(a,b,product(b,product(a,c))) = product(c,bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),b,product(c,a)),product(c,bigC(a,b,product(b,a)))) ),[0],$fot(bigC(a,b,product(b,product(a,c))))]]) ).

cnf(refute_0_12743,plain,
    ( bigC(bigC(a,a,b),b,product(c,a)) != product(c,bigC(a,b,product(b,a)))
    | bigC(a,b,product(b,product(a,c))) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),b,product(c,a)),bigC(a,b,product(b,product(a,c)))) )],[refute_0_12741,refute_0_12742]) ).

cnf(refute_0_12744,plain,
    bigC(a,b,product(b,product(a,c))) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),b,product(c,a)),product(c,bigC(a,b,product(b,a)))) )],[refute_0_4038,refute_0_12743]) ).

cnf(refute_0_12745,plain,
    ( bigC(a,b,product(b,product(a,c))) != product(c,bigC(a,b,product(b,a)))
    | difference(product(a,b),bigC(a,b,product(b,product(a,c)))) != product(product(b,product(a,c)),a)
    | difference(product(a,b),product(c,bigC(a,b,product(b,a)))) = product(product(b,product(a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(a,b,product(b,product(a,c)))),product(product(b,product(a,c)),a)) ),[0,1],$fot(product(c,bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_12746,plain,
    ( difference(product(a,b),bigC(a,b,product(b,product(a,c)))) != product(product(b,product(a,c)),a)
    | difference(product(a,b),product(c,bigC(a,b,product(b,a)))) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,product(a,c))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_12744,refute_0_12745]) ).

cnf(refute_0_12747,plain,
    difference(product(a,b),product(c,bigC(a,b,product(b,a)))) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,product(b,product(a,c)))),product(product(b,product(a,c)),a)) )],[refute_0_72,refute_0_12746]) ).

cnf(refute_0_12748,plain,
    ( difference(product(a,b),product(c,bigC(a,b,product(b,a)))) != product(product(b,product(a,c)),a)
    | quotient(product(c,bigC(a,b,product(b,a))),difference(product(a,b),product(c,bigC(a,b,product(b,a))))) != product(a,b)
    | quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(a,b,product(b,a))),difference(product(a,b),product(c,bigC(a,b,product(b,a))))),product(a,b)) ),[0,1],$fot(product(product(b,product(a,c)),a))]]) ).

cnf(refute_0_12749,plain,
    ( quotient(product(c,bigC(a,b,product(b,a))),difference(product(a,b),product(c,bigC(a,b,product(b,a))))) != product(a,b)
    | quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,bigC(a,b,product(b,a)))),product(product(b,product(a,c)),a)) )],[refute_0_12747,refute_0_12748]) ).

cnf(refute_0_12750,plain,
    quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,product(b,a))),difference(product(a,b),product(c,bigC(a,b,product(b,a))))),product(a,b)) )],[refute_0_64,refute_0_12749]) ).

cnf(refute_0_12751,plain,
    ( bigC(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) != product(a,b)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_12752,plain,
    ( bigC(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(a,b)) )],[refute_0_12750,refute_0_12751]) ).

cnf(refute_0_12753,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) )],[refute_0_57,refute_0_12752]) ).

cnf(refute_0_12754,plain,
    difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),
    inference(subst,[],[refute_0_2084:[bind(X_18,$fot(bigC(c,bigC(b,b,c),product(product(c,b),b)))),bind(X_30,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_12755,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a)))) = product(c,product(c,b)),
    inference(subst,[],[refute_0_4079:[bind(B,$fot(product(c,product(c,b)))),bind(X_41,$fot(a))]]) ).

cnf(refute_0_12756,plain,
    ( product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a)))) != product(c,product(c,b))
    | product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a)))),product(c,product(c,b))) ),[0,1,1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_12757,plain,
    ( product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a)))) != product(c,product(c,b))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_12756]) ).

cnf(refute_0_12758,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a)))),product(c,product(c,b))) )],[refute_0_12755,refute_0_12757]) ).

cnf(refute_0_12759,plain,
    bigC(c,product(product(c,b),b),bigC(b,b,c)) = bigC(c,bigC(b,b,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(bigC(b,b,c))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_12760,plain,
    product(product(bigC(a,a,b),b),product(X_25,c)) = product(product(product(bigC(a,a,b),b),X_25),product(product(bigC(a,a,b),b),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(bigC(a,a,b),b))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12761,plain,
    ( product(product(bigC(a,a,b),b),c) != product(c,bigC(b,b,product(c,a)))
    | product(product(bigC(a,a,b),b),product(X_25,c)) != product(product(product(bigC(a,a,b),b),X_25),product(product(bigC(a,a,b),b),c))
    | product(product(bigC(a,a,b),b),product(X_25,c)) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),b),product(X_25,c)),product(product(product(bigC(a,a,b),b),X_25),product(product(bigC(a,a,b),b),c))) ),[1,1],$fot(product(c,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_12762,plain,
    ( product(product(bigC(a,a,b),b),product(X_25,c)) != product(product(product(bigC(a,a,b),b),X_25),product(product(bigC(a,a,b),b),c))
    | product(product(bigC(a,a,b),b),product(X_25,c)) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),c),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7992,refute_0_12761]) ).

cnf(refute_0_12763,plain,
    product(product(bigC(a,a,b),b),product(X_25,c)) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(X_25,c)),product(product(product(bigC(a,a,b),b),X_25),product(product(bigC(a,a,b),b),c))) )],[refute_0_12760,refute_0_12762]) ).

cnf(refute_0_12764,plain,
    bigC(c,product(product(c,b),b),C) = product(product(c,product(product(c,b),b)),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_12765,plain,
    ( bigC(c,product(product(c,b),b),C) != product(product(c,product(product(c,b),b)),product(C,c))
    | product(c,product(product(c,b),b)) != product(bigC(a,a,b),b)
    | bigC(c,product(product(c,b),b),C) = product(product(bigC(a,a,b),b),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(c,b),b),C),product(product(c,product(product(c,b),b)),product(C,c))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_12766,plain,
    ( bigC(c,product(product(c,b),b),C) != product(product(c,product(product(c,b),b)),product(C,c))
    | bigC(c,product(product(c,b),b),C) = product(product(bigC(a,a,b),b),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),b)),product(bigC(a,a,b),b)) )],[refute_0_7512,refute_0_12765]) ).

cnf(refute_0_12767,plain,
    bigC(c,product(product(c,b),b),C) = product(product(bigC(a,a,b),b),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),C),product(product(c,product(product(c,b),b)),product(C,c))) )],[refute_0_12764,refute_0_12766]) ).

cnf(refute_0_12768,plain,
    ( bigC(c,product(product(c,b),b),C) != product(product(bigC(a,a,b),b),product(C,c))
    | product(product(bigC(a,a,b),b),product(C,c)) = bigC(c,product(product(c,b),b),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(product(c,b),b),C))),bind(Y,$fot(product(product(bigC(a,a,b),b),product(C,c))))]]) ).

cnf(refute_0_12769,plain,
    product(product(bigC(a,a,b),b),product(C,c)) = bigC(c,product(product(c,b),b),C),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),C),product(product(bigC(a,a,b),b),product(C,c))) )],[refute_0_12767,refute_0_12768]) ).

cnf(refute_0_12770,plain,
    product(product(bigC(a,a,b),b),product(X_25,c)) = bigC(c,product(product(c,b),b),X_25),
    inference(subst,[],[refute_0_12769:[bind(C,$fot(X_25))]]) ).

cnf(refute_0_12771,plain,
    ( product(product(bigC(a,a,b),b),product(X_25,c)) != bigC(c,product(product(c,b),b),X_25)
    | product(product(bigC(a,a,b),b),product(X_25,c)) != product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))
    | bigC(c,product(product(c,b),b),X_25) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),b),product(X_25,c)),product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))) ),[0],$fot(bigC(c,product(product(c,b),b),X_25))]]) ).

cnf(refute_0_12772,plain,
    ( product(product(bigC(a,a,b),b),product(X_25,c)) != product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))
    | bigC(c,product(product(c,b),b),X_25) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(X_25,c)),bigC(c,product(product(c,b),b),X_25)) )],[refute_0_12770,refute_0_12771]) ).

cnf(refute_0_12773,plain,
    bigC(c,product(product(c,b),b),X_25) = product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(X_25,c)),product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))) )],[refute_0_12763,refute_0_12772]) ).

cnf(refute_0_12774,plain,
    product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))) = product(product(c,X_25),bigC(b,b,product(c,a))),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(c)),bind(X_24,$fot(X_25)),bind(X_26,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_12775,plain,
    product(product(product(bigC(a,a,b),b),B),product(c,D)) = product(product(product(bigC(a,a,b),b),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(bigC(a,a,b),b))),bind(C,$fot(c))]]) ).

cnf(refute_0_12776,plain,
    ( product(product(bigC(a,a,b),b),c) != product(c,bigC(b,b,product(c,a)))
    | product(product(product(bigC(a,a,b),b),B),product(c,D)) != product(product(product(bigC(a,a,b),b),c),product(B,D))
    | product(product(product(bigC(a,a,b),b),B),product(c,D)) = product(product(c,bigC(b,b,product(c,a))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,b),b),B),product(c,D)),product(product(product(bigC(a,a,b),b),c),product(B,D))) ),[1,0],$fot(product(c,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_12777,plain,
    ( product(product(product(bigC(a,a,b),b),B),product(c,D)) != product(product(product(bigC(a,a,b),b),c),product(B,D))
    | product(product(product(bigC(a,a,b),b),B),product(c,D)) = product(product(c,bigC(b,b,product(c,a))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),c),product(c,bigC(b,b,product(c,a)))) )],[refute_0_7992,refute_0_12776]) ).

cnf(refute_0_12778,plain,
    product(product(product(bigC(a,a,b),b),B),product(c,D)) = product(product(c,bigC(b,b,product(c,a))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),b),B),product(c,D)),product(product(product(bigC(a,a,b),b),c),product(B,D))) )],[refute_0_12775,refute_0_12777]) ).

cnf(refute_0_12779,plain,
    product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) = product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))),
    inference(subst,[],[refute_0_12778:[bind(B,$fot(X_25)),bind(D,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_12780,plain,
    ( product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))) != product(product(c,X_25),bigC(b,b,product(c,a)))
    | product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) != product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a))))
    | product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) = product(product(c,X_25),bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))))),bind(Z,$fot(product(product(c,X_25),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12781,plain,
    ( product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))) != product(product(c,X_25),bigC(b,b,product(c,a)))
    | product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) = product(product(c,X_25),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))),product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a))))) )],[refute_0_12779,refute_0_12780]) ).

cnf(refute_0_12782,plain,
    product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) = product(product(c,X_25),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,product(c,a))),product(X_25,bigC(b,b,product(c,a)))),product(product(c,X_25),bigC(b,b,product(c,a)))) )],[refute_0_12774,refute_0_12781]) ).

cnf(refute_0_12783,plain,
    ( bigC(c,product(product(c,b),b),X_25) != product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))
    | product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))) != product(product(c,X_25),bigC(b,b,product(c,a)))
    | bigC(c,product(product(c,b),b),X_25) = product(product(c,X_25),bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(product(c,b),b),X_25),product(product(c,X_25),bigC(b,b,product(c,a)))) ),[0],$fot(product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12784,plain,
    ( bigC(c,product(product(c,b),b),X_25) != product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))
    | bigC(c,product(product(c,b),b),X_25) = product(product(c,X_25),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a)))),product(product(c,X_25),bigC(b,b,product(c,a)))) )],[refute_0_12782,refute_0_12783]) ).

cnf(refute_0_12785,plain,
    bigC(c,product(product(c,b),b),X_25) = product(product(c,X_25),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),X_25),product(product(product(bigC(a,a,b),b),X_25),product(c,bigC(b,b,product(c,a))))) )],[refute_0_12773,refute_0_12784]) ).

cnf(refute_0_12786,plain,
    ( bigC(c,product(product(c,b),b),X_25) != product(product(c,X_25),bigC(b,b,product(c,a)))
    | product(product(c,X_25),bigC(b,b,product(c,a))) = bigC(c,product(product(c,b),b),X_25) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(product(c,b),b),X_25))),bind(Y,$fot(product(product(c,X_25),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12787,plain,
    product(product(c,X_25),bigC(b,b,product(c,a))) = bigC(c,product(product(c,b),b),X_25),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),X_25),product(product(c,X_25),bigC(b,b,product(c,a)))) )],[refute_0_12785,refute_0_12786]) ).

cnf(refute_0_12788,plain,
    product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) = bigC(c,product(product(c,b),b),bigC(b,b,c)),
    inference(subst,[],[refute_0_12787:[bind(X_25,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12789,plain,
    ( bigC(c,product(product(c,b),b),bigC(b,b,c)) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) != bigC(c,product(product(c,b),b),bigC(b,b,c))
    | product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))))),bind(Y,$fot(bigC(c,product(product(c,b),b),bigC(b,b,c)))),bind(Z,$fot(bigC(c,bigC(b,b,c),product(product(c,b),b))))]]) ).

cnf(refute_0_12790,plain,
    ( bigC(c,product(product(c,b),b),bigC(b,b,c)) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))),bigC(c,product(product(c,b),b),bigC(b,b,c))) )],[refute_0_12788,refute_0_12789]) ).

cnf(refute_0_12791,plain,
    product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) = bigC(c,bigC(b,b,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),b),bigC(b,b,c)),bigC(c,bigC(b,b,c),product(product(c,b),b))) )],[refute_0_12759,refute_0_12790]) ).

cnf(refute_0_12792,plain,
    product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) = product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))),
    inference(subst,[],[refute_0_6195:[bind(X_25,$fot(bigC(b,b,c))),bind(X_96,$fot(c)),bind(X_97,$fot(product(c,a))),bind(X_98,$fot(b))]]) ).

cnf(refute_0_12793,plain,
    ( product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) != product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a)))
    | product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))))),bind(Z,$fot(bigC(c,bigC(b,b,c),product(product(c,b),b))))]]) ).

cnf(refute_0_12794,plain,
    ( product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)),product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a)))) )],[refute_0_12792,refute_0_12793]) ).

cnf(refute_0_12795,plain,
    product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) = bigC(c,bigC(b,b,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(b,b,product(c,a))),bigC(c,bigC(b,b,c),product(product(c,b),b))) )],[refute_0_12791,refute_0_12794]) ).

cnf(refute_0_12796,plain,
    product(product(X_96,product(A,B)),product(C,A)) = product(product(X_96,product(C,A)),product(product(A,B),product(C,A))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(product(A,B))),bind(X_26,$fot(product(C,A)))]]) ).

cnf(refute_0_12797,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(X_96,product(A,B)),product(C,A)) != product(product(X_96,product(C,A)),product(product(A,B),product(C,A)))
    | product(product(X_96,product(A,B)),product(C,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(A,B)),product(C,A)),product(product(X_96,product(C,A)),product(product(A,B),product(C,A)))) ),[1,1],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_12798,plain,
    ( product(product(X_96,product(A,B)),product(C,A)) != product(product(X_96,product(C,A)),product(product(A,B),product(C,A)))
    | product(product(X_96,product(A,B)),product(C,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_117,refute_0_12797]) ).

cnf(refute_0_12799,plain,
    product(product(X_96,product(A,B)),product(C,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(A,B)),product(C,A)),product(product(X_96,product(C,A)),product(product(A,B),product(C,A)))) )],[refute_0_12796,refute_0_12798]) ).

cnf(refute_0_12800,plain,
    product(product(X_96,product(A,B)),product(C,A)) = product(product(X_96,C),bigC(A,B,A)),
    inference(subst,[],[refute_0_1105:[bind(X_18,$fot(B)),bind(X_23,$fot(X_96)),bind(X_24,$fot(C)),bind(X_26,$fot(A))]]) ).

cnf(refute_0_12801,plain,
    ( product(product(X_96,product(A,B)),product(C,A)) != product(product(X_96,C),bigC(A,B,A))
    | product(product(X_96,product(A,B)),product(C,A)) != product(product(X_96,product(C,A)),bigC(A,B,C))
    | product(product(X_96,C),bigC(A,B,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,product(A,B)),product(C,A)),product(product(X_96,product(C,A)),bigC(A,B,C))) ),[0],$fot(product(product(X_96,C),bigC(A,B,A)))]]) ).

cnf(refute_0_12802,plain,
    ( product(product(X_96,product(A,B)),product(C,A)) != product(product(X_96,product(C,A)),bigC(A,B,C))
    | product(product(X_96,C),bigC(A,B,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(A,B)),product(C,A)),product(product(X_96,C),bigC(A,B,A))) )],[refute_0_12800,refute_0_12801]) ).

cnf(refute_0_12803,plain,
    product(product(X_96,C),bigC(A,B,A)) = product(product(X_96,product(C,A)),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(product(product(X_96,product(A,B)),product(C,A)),product(product(X_96,product(C,A)),bigC(A,B,C))) )],[refute_0_12799,refute_0_12802]) ).

cnf(refute_0_12804,plain,
    ( product(product(X_96,C),bigC(A,B,A)) != product(product(X_96,product(C,A)),bigC(A,B,C))
    | product(product(X_96,product(C,A)),bigC(A,B,C)) = product(product(X_96,C),bigC(A,B,A)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,C),bigC(A,B,A)))),bind(Y,$fot(product(product(X_96,product(C,A)),bigC(A,B,C))))]]) ).

cnf(refute_0_12805,plain,
    product(product(X_96,product(C,A)),bigC(A,B,C)) = product(product(X_96,C),bigC(A,B,A)),
    inference(resolve,[$cnf( $equal(product(product(X_96,C),bigC(A,B,A)),product(product(X_96,product(C,A)),bigC(A,B,C))) )],[refute_0_12803,refute_0_12804]) ).

cnf(refute_0_12806,plain,
    product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) = product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)),
    inference(subst,[],[refute_0_12805:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(bigC(b,b,c))),bind(X_96,$fot(c))]]) ).

cnf(refute_0_12807,plain,
    ( product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) != product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b))
    | product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))),bind(Y,$fot(product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)))),bind(Z,$fot(bigC(c,bigC(b,b,c),product(product(c,b),b))))]]) ).

cnf(refute_0_12808,plain,
    ( product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) = bigC(c,bigC(b,b,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))),product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b))) )],[refute_0_12806,refute_0_12807]) ).

cnf(refute_0_12809,plain,
    product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) = bigC(c,bigC(b,b,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(b,product(c,a),b)),bigC(c,bigC(b,b,c),product(product(c,b),b))) )],[refute_0_12795,refute_0_12808]) ).

cnf(refute_0_12810,plain,
    product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_12811,plain,
    ( product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))
    | product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))),product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))) ),[1,1],$fot(bigC(c,bigC(b,b,c),product(product(c,b),b)))]]) ).

cnf(refute_0_12812,plain,
    ( product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))) != bigC(c,bigC(b,b,c),product(product(c,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))),product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))) )],[refute_0_12810,refute_0_12811]) ).

cnf(refute_0_12813,plain,
    product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))),bigC(c,bigC(b,b,c),product(product(c,b),b))) )],[refute_0_12809,refute_0_12812]) ).

cnf(refute_0_12814,plain,
    product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))),
    inference(subst,[],[refute_0_8784:[bind(B,$fot(product(c,product(bigC(b,b,c),b)))),bind(D,$fot(bigC(b,product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_12815,plain,
    ( product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))
    | product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))
    | product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))))),bind(Z,$fot(product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))]]) ).

cnf(refute_0_12816,plain,
    ( product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))
    | product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))),product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c))))) )],[refute_0_12814,refute_0_12815]) ).

cnf(refute_0_12817,plain,
    product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(bigC(b,b,c),b)),bigC(b,product(c,a),bigC(b,b,c)))),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) )],[refute_0_12813,refute_0_12816]) ).

cnf(refute_0_12818,plain,
    bigC(difference(product(c,b),product(b,c)),X_18,product(c,b)) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(b,c))),bind(X_19,$fot(product(c,b)))]]) ).

cnf(refute_0_12819,plain,
    difference(product(c,b),product(product(c,b),product(b,a))) = product(b,a),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_12820,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_12821,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_2785,refute_0_12820]) ).

cnf(refute_0_12822,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_12819,refute_0_12821]) ).

cnf(refute_0_12823,plain,
    ( bigC(difference(product(c,b),product(b,c)),X_18,product(c,b)) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | difference(product(c,b),product(b,c)) != product(b,a)
    | bigC(product(b,a),X_18,product(c,b)) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),X_18,product(c,b)),product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_12824,plain,
    ( bigC(difference(product(c,b),product(b,c)),X_18,product(c,b)) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | bigC(product(b,a),X_18,product(c,b)) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),product(b,a)) )],[refute_0_12822,refute_0_12823]) ).

cnf(refute_0_12825,plain,
    bigC(product(b,a),X_18,product(c,b)) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),X_18,product(c,b)),product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))) )],[refute_0_12818,refute_0_12824]) ).

cnf(refute_0_12826,plain,
    bigC(product(b,a),B,product(c,b)) = product(product(product(b,a),B),product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(b,a))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_12827,plain,
    ( bigC(product(b,a),B,product(c,b)) != product(product(product(b,a),B),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(b,a),B,product(c,b)) = product(product(product(b,a),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),B,product(c,b)),product(product(product(b,a),B),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_12828,plain,
    ( bigC(product(b,a),B,product(c,b)) != product(product(product(b,a),B),product(product(c,b),product(b,a)))
    | bigC(product(b,a),B,product(c,b)) = product(product(product(b,a),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2785,refute_0_12827]) ).

cnf(refute_0_12829,plain,
    bigC(product(b,a),B,product(c,b)) = product(product(product(b,a),B),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,product(c,b)),product(product(product(b,a),B),product(product(c,b),product(b,a)))) )],[refute_0_12826,refute_0_12828]) ).

cnf(refute_0_12830,plain,
    bigC(c,difference(c,bigC(b,a,b)),X_19) = product(bigC(b,a,b),product(X_19,c)),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(b,a,b))),bind(X_17,$fot(c))]]) ).

cnf(refute_0_12831,plain,
    ( bigC(c,difference(c,bigC(b,a,b)),X_19) != product(bigC(b,a,b),product(X_19,c))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(c,product(b,c),X_19) = product(bigC(b,a,b),product(X_19,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,bigC(b,a,b)),X_19),product(bigC(b,a,b),product(X_19,c))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_12832,plain,
    ( bigC(c,difference(c,bigC(b,a,b)),X_19) != product(bigC(b,a,b),product(X_19,c))
    | bigC(c,product(b,c),X_19) = product(bigC(b,a,b),product(X_19,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_4957,refute_0_12831]) ).

cnf(refute_0_12833,plain,
    bigC(c,product(b,c),X_19) = product(bigC(b,a,b),product(X_19,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(b,a,b)),X_19),product(bigC(b,a,b),product(X_19,c))) )],[refute_0_12830,refute_0_12832]) ).

cnf(refute_0_12834,plain,
    ( bigC(c,product(b,c),X_19) != product(bigC(b,a,b),product(X_19,c))
    | product(bigC(b,a,b),product(X_19,c)) = bigC(c,product(b,c),X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(b,c),X_19))),bind(Y,$fot(product(bigC(b,a,b),product(X_19,c))))]]) ).

cnf(refute_0_12835,plain,
    product(bigC(b,a,b),product(X_19,c)) = bigC(c,product(b,c),X_19),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_19),product(bigC(b,a,b),product(X_19,c))) )],[refute_0_12833,refute_0_12834]) ).

cnf(refute_0_12836,plain,
    product(bigC(b,a,b),product(B,c)) = bigC(c,product(b,c),B),
    inference(subst,[],[refute_0_12835:[bind(X_19,$fot(B))]]) ).

cnf(refute_0_12837,plain,
    product(product(product(b,a),B),product(b,c)) = product(bigC(b,a,b),product(B,c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(a)),bind(X_24,$fot(b)),bind(X_25,$fot(B)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_12838,plain,
    ( product(bigC(b,a,b),product(B,c)) != bigC(c,product(b,c),B)
    | product(product(product(b,a),B),product(b,c)) != product(bigC(b,a,b),product(B,c))
    | product(product(product(b,a),B),product(b,c)) = bigC(c,product(b,c),B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,a),B),product(b,c)))),bind(Y,$fot(product(bigC(b,a,b),product(B,c)))),bind(Z,$fot(bigC(c,product(b,c),B)))]]) ).

cnf(refute_0_12839,plain,
    ( product(bigC(b,a,b),product(B,c)) != bigC(c,product(b,c),B)
    | product(product(product(b,a),B),product(b,c)) = bigC(c,product(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),product(b,c)),product(bigC(b,a,b),product(B,c))) )],[refute_0_12837,refute_0_12838]) ).

cnf(refute_0_12840,plain,
    product(product(product(b,a),B),product(b,c)) = bigC(c,product(b,c),B),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(B,c)),bigC(c,product(b,c),B)) )],[refute_0_12836,refute_0_12839]) ).

cnf(refute_0_12841,plain,
    ( bigC(product(b,a),B,product(c,b)) != product(product(product(b,a),B),product(b,c))
    | product(product(product(b,a),B),product(b,c)) != bigC(c,product(b,c),B)
    | bigC(product(b,a),B,product(c,b)) = bigC(c,product(b,c),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),B,product(c,b)),bigC(c,product(b,c),B)) ),[0],$fot(product(product(product(b,a),B),product(b,c)))]]) ).

cnf(refute_0_12842,plain,
    ( bigC(product(b,a),B,product(c,b)) != product(product(product(b,a),B),product(b,c))
    | bigC(product(b,a),B,product(c,b)) = bigC(c,product(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),product(b,c)),bigC(c,product(b,c),B)) )],[refute_0_12840,refute_0_12841]) ).

cnf(refute_0_12843,plain,
    bigC(product(b,a),B,product(c,b)) = bigC(c,product(b,c),B),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,product(c,b)),product(product(product(b,a),B),product(b,c))) )],[refute_0_12829,refute_0_12842]) ).

cnf(refute_0_12844,plain,
    bigC(product(b,a),X_18,product(c,b)) = bigC(c,product(b,c),X_18),
    inference(subst,[],[refute_0_12843:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_12845,plain,
    ( bigC(product(b,a),X_18,product(c,b)) != bigC(c,product(b,c),X_18)
    | bigC(product(b,a),X_18,product(c,b)) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | bigC(c,product(b,c),X_18) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),X_18,product(c,b)),product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))) ),[0],$fot(bigC(c,product(b,c),X_18))]]) ).

cnf(refute_0_12846,plain,
    ( bigC(product(b,a),X_18,product(c,b)) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | bigC(c,product(b,c),X_18) = product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_18,product(c,b)),bigC(c,product(b,c),X_18)) )],[refute_0_12844,refute_0_12845]) ).

cnf(refute_0_12847,plain,
    bigC(product(b,a),difference(product(b,a),c),X_19) = product(c,product(X_19,product(b,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(c)),bind(X_17,$fot(product(b,a)))]]) ).

cnf(refute_0_12848,plain,
    ( bigC(product(b,a),difference(product(b,a),c),X_19) != product(c,product(X_19,product(b,a)))
    | difference(product(b,a),c) != product(c,b)
    | bigC(product(b,a),product(c,b),X_19) = product(c,product(X_19,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),c),X_19),product(c,product(X_19,product(b,a)))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_12849,plain,
    ( bigC(product(b,a),difference(product(b,a),c),X_19) != product(c,product(X_19,product(b,a)))
    | bigC(product(b,a),product(c,b),X_19) = product(c,product(X_19,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_2762,refute_0_12848]) ).

cnf(refute_0_12850,plain,
    bigC(product(b,a),product(c,b),X_19) = product(c,product(X_19,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),c),X_19),product(c,product(X_19,product(b,a)))) )],[refute_0_12847,refute_0_12849]) ).

cnf(refute_0_12851,plain,
    bigC(product(c,a),b,C) = product(product(product(c,a),b),product(C,product(c,a))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,a))),bind(B,$fot(b))]]) ).

cnf(refute_0_12852,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_12853,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_760,refute_0_12852]) ).

cnf(refute_0_12854,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_12851,refute_0_12853]) ).

cnf(refute_0_12855,plain,
    product(product(c,C),product(c,product(b,a))) = product(c,product(C,product(b,a))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(C)),bind(X_26,$fot(product(b,a)))]]) ).

cnf(refute_0_12856,plain,
    product(product(c,product(c,b)),product(C,product(c,a))) = product(product(c,C),product(c,product(b,a))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_12857,plain,
    ( product(product(c,C),product(c,product(b,a))) != product(c,product(C,product(b,a)))
    | product(product(c,product(c,b)),product(C,product(c,a))) != product(product(c,C),product(c,product(b,a)))
    | product(product(c,product(c,b)),product(C,product(c,a))) = product(c,product(C,product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(C,product(c,a))))),bind(Y,$fot(product(product(c,C),product(c,product(b,a))))),bind(Z,$fot(product(c,product(C,product(b,a)))))]]) ).

cnf(refute_0_12858,plain,
    ( product(product(c,C),product(c,product(b,a))) != product(c,product(C,product(b,a)))
    | product(product(c,product(c,b)),product(C,product(c,a))) = product(c,product(C,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,product(c,a))),product(product(c,C),product(c,product(b,a)))) )],[refute_0_12856,refute_0_12857]) ).

cnf(refute_0_12859,plain,
    product(product(c,product(c,b)),product(C,product(c,a))) = product(c,product(C,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,C),product(c,product(b,a))),product(c,product(C,product(b,a)))) )],[refute_0_12855,refute_0_12858]) ).

cnf(refute_0_12860,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))) != product(c,product(C,product(b,a)))
    | bigC(product(c,a),b,C) = product(c,product(C,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),b,C),product(c,product(C,product(b,a)))) ),[0],$fot(product(product(c,product(c,b)),product(C,product(c,a))))]]) ).

cnf(refute_0_12861,plain,
    ( bigC(product(c,a),b,C) != product(product(c,product(c,b)),product(C,product(c,a)))
    | bigC(product(c,a),b,C) = product(c,product(C,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(C,product(c,a))),product(c,product(C,product(b,a)))) )],[refute_0_12859,refute_0_12860]) ).

cnf(refute_0_12862,plain,
    bigC(product(c,a),b,C) = product(c,product(C,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,C),product(product(c,product(c,b)),product(C,product(c,a)))) )],[refute_0_12854,refute_0_12861]) ).

cnf(refute_0_12863,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_16:[bind(X,$fot(bigC(product(c,a),b,C))),bind(Y,$fot(product(c,product(C,product(b,a)))))]]) ).

cnf(refute_0_12864,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_12862,refute_0_12863]) ).

cnf(refute_0_12865,plain,
    product(c,product(X_19,product(b,a))) = bigC(product(c,a),b,X_19),
    inference(subst,[],[refute_0_12864:[bind(C,$fot(X_19))]]) ).

cnf(refute_0_12866,plain,
    ( bigC(product(b,a),product(c,b),X_19) != product(c,product(X_19,product(b,a)))
    | product(c,product(X_19,product(b,a))) != bigC(product(c,a),b,X_19)
    | bigC(product(b,a),product(c,b),X_19) = bigC(product(c,a),b,X_19) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),product(c,b),X_19),bigC(product(c,a),b,X_19)) ),[0],$fot(product(c,product(X_19,product(b,a))))]]) ).

cnf(refute_0_12867,plain,
    ( bigC(product(b,a),product(c,b),X_19) != product(c,product(X_19,product(b,a)))
    | bigC(product(b,a),product(c,b),X_19) = bigC(product(c,a),b,X_19) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_19,product(b,a))),bigC(product(c,a),b,X_19)) )],[refute_0_12865,refute_0_12866]) ).

cnf(refute_0_12868,plain,
    bigC(product(b,a),product(c,b),X_19) = bigC(product(c,a),b,X_19),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,b),X_19),product(c,product(X_19,product(b,a)))) )],[refute_0_12850,refute_0_12867]) ).

cnf(refute_0_12869,plain,
    bigC(product(b,a),product(c,b),X_18) = bigC(product(c,a),b,X_18),
    inference(subst,[],[refute_0_12868:[bind(X_19,$fot(X_18))]]) ).

cnf(refute_0_12870,plain,
    bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18))]]) ).

cnf(refute_0_12871,plain,
    ( bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) != bigC(difference(product(c,b),product(b,c)),product(c,b),X_18)
    | difference(product(c,b),product(b,c)) != product(b,a)
    | bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(b,a),product(c,b),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),bigC(difference(product(c,b),product(b,c)),product(c,b),X_18)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12872,plain,
    ( difference(product(c,b),product(b,c)) != product(b,a)
    | bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(b,a),product(c,b),X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),bigC(difference(product(c,b),product(b,c)),product(c,b),X_18)) )],[refute_0_12870,refute_0_12871]) ).

cnf(refute_0_12873,plain,
    bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(b,a),product(c,b),X_18),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),product(b,a)) )],[refute_0_12822,refute_0_12872]) ).

cnf(refute_0_12874,plain,
    ( bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) != bigC(product(b,a),product(c,b),X_18)
    | bigC(product(b,a),product(c,b),X_18) != bigC(product(c,a),b,X_18)
    | bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(c,a),b,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18))),bind(Y,$fot(bigC(product(b,a),product(c,b),X_18))),bind(Z,$fot(bigC(product(c,a),b,X_18)))]]) ).

cnf(refute_0_12875,plain,
    ( bigC(product(b,a),product(c,b),X_18) != bigC(product(c,a),b,X_18)
    | bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(c,a),b,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),bigC(product(b,a),product(c,b),X_18)) )],[refute_0_12873,refute_0_12874]) ).

cnf(refute_0_12876,plain,
    bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) = bigC(product(c,a),b,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,b),X_18),bigC(product(c,a),b,X_18)) )],[refute_0_12869,refute_0_12875]) ).

cnf(refute_0_12877,plain,
    product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) = bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(product(c,b))),bind(C,$fot(X_18)),bind(X_70,$fot(product(b,c)))]]) ).

cnf(refute_0_12878,plain,
    ( bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) != bigC(product(c,a),b,X_18)
    | product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) != bigC(difference(product(c,b),product(b,c)),product(c,b),X_18)
    | product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) = bigC(product(c,a),b,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)))),bind(Y,$fot(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18))),bind(Z,$fot(bigC(product(c,a),b,X_18)))]]) ).

cnf(refute_0_12879,plain,
    ( bigC(difference(product(c,b),product(b,c)),product(c,b),X_18) != bigC(product(c,a),b,X_18)
    | product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) = bigC(product(c,a),b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)),bigC(difference(product(c,b),product(b,c)),product(c,b),X_18)) )],[refute_0_12877,refute_0_12878]) ).

cnf(refute_0_12880,plain,
    product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) = bigC(product(c,a),b,X_18),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(b,c)),product(c,b),X_18),bigC(product(c,a),b,X_18)) )],[refute_0_12876,refute_0_12879]) ).

cnf(refute_0_12881,plain,
    ( bigC(c,product(b,c),X_18) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)) != bigC(product(c,a),b,X_18)
    | bigC(c,product(b,c),X_18) = bigC(product(c,a),b,X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(b,c),X_18),bigC(product(c,a),b,X_18)) ),[0],$fot(product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)))]]) ).

cnf(refute_0_12882,plain,
    ( bigC(c,product(b,c),X_18) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | bigC(c,product(b,c),X_18) = bigC(product(c,a),b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),product(b,c)),X_18),product(b,c)),bigC(product(c,a),b,X_18)) )],[refute_0_12880,refute_0_12881]) ).

cnf(refute_0_12883,plain,
    ( bigC(product(b,a),X_18,product(c,b)) != product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))
    | bigC(c,product(b,c),X_18) = bigC(product(c,a),b,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_18),product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))) )],[refute_0_12846,refute_0_12882]) ).

cnf(refute_0_12884,plain,
    bigC(c,product(b,c),X_18) = bigC(product(c,a),b,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_18,product(c,b)),product(product(difference(product(c,b),product(b,c)),X_18),product(b,c))) )],[refute_0_12825,refute_0_12883]) ).

cnf(refute_0_12885,plain,
    bigC(product(b,c),c,C) = product(product(product(b,c),c),product(C,product(b,c))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(b,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_12886,plain,
    ( bigC(product(b,c),c,C) != product(product(product(b,c),c),product(C,product(b,c)))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(product(b,c),c,C) = product(product(b,product(a,c)),product(C,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),c,C),product(product(product(b,c),c),product(C,product(b,c)))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12887,plain,
    ( bigC(product(b,c),c,C) != product(product(product(b,c),c),product(C,product(b,c)))
    | bigC(product(b,c),c,C) = product(product(b,product(a,c)),product(C,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2942,refute_0_12886]) ).

cnf(refute_0_12888,plain,
    bigC(product(b,c),c,C) = product(product(b,product(a,c)),product(C,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,C),product(product(product(b,c),c),product(C,product(b,c)))) )],[refute_0_12885,refute_0_12887]) ).

cnf(refute_0_12889,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(product(b,c),X_18,c) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_12890,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(product(b,c),X_18,c) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_4957,refute_0_12889]) ).

cnf(refute_0_12891,plain,
    bigC(product(b,c),X_18,c) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) )],[refute_0_4953,refute_0_12890]) ).

cnf(refute_0_12892,plain,
    ( bigC(product(b,c),X_18,c) != bigC(b,product(c,a),X_18)
    | bigC(product(b,c),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(b,product(c,a),X_18) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) ),[0],$fot(bigC(b,product(c,a),X_18))]]) ).

cnf(refute_0_12893,plain,
    ( bigC(product(b,c),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(b,product(c,a),X_18) = product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,c),bigC(b,product(c,a),X_18)) )],[refute_0_4978,refute_0_12892]) ).

cnf(refute_0_12894,plain,
    bigC(difference(c,bigC(b,a,b)),c,X_18) = bigC(difference(c,bigC(b,a,b)),c,X_18),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(b,a,b)),c,X_18))]]) ).

cnf(refute_0_12895,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_18) != bigC(difference(c,bigC(b,a,b)),c,X_18)
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),c,X_18) = bigC(product(b,c),c,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_18),bigC(difference(c,bigC(b,a,b)),c,X_18)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_12896,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),c,X_18) = bigC(product(b,c),c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_18),bigC(difference(c,bigC(b,a,b)),c,X_18)) )],[refute_0_12894,refute_0_12895]) ).

cnf(refute_0_12897,plain,
    bigC(difference(c,bigC(b,a,b)),c,X_18) = bigC(product(b,c),c,X_18),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_4957,refute_0_12896]) ).

cnf(refute_0_12898,plain,
    product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) = bigC(difference(c,bigC(b,a,b)),c,X_18),
    inference(subst,[],[refute_0_1421:[bind(B,$fot(c)),bind(C,$fot(X_18)),bind(X_70,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_12899,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_18) != bigC(product(b,c),c,X_18)
    | product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) != bigC(difference(c,bigC(b,a,b)),c,X_18)
    | product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) = bigC(product(b,c),c,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)))),bind(Y,$fot(bigC(difference(c,bigC(b,a,b)),c,X_18))),bind(Z,$fot(bigC(product(b,c),c,X_18)))]]) ).

cnf(refute_0_12900,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_18) != bigC(product(b,c),c,X_18)
    | product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) = bigC(product(b,c),c,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)),bigC(difference(c,bigC(b,a,b)),c,X_18)) )],[refute_0_12898,refute_0_12899]) ).

cnf(refute_0_12901,plain,
    product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) = bigC(product(b,c),c,X_18),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_18),bigC(product(b,c),c,X_18)) )],[refute_0_12897,refute_0_12900]) ).

cnf(refute_0_12902,plain,
    ( bigC(b,product(c,a),X_18) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)) != bigC(product(b,c),c,X_18)
    | bigC(b,product(c,a),X_18) = bigC(product(b,c),c,X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),X_18),bigC(product(b,c),c,X_18)) ),[0],$fot(product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)))]]) ).

cnf(refute_0_12903,plain,
    ( bigC(b,product(c,a),X_18) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(b,product(c,a),X_18) = bigC(product(b,c),c,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b)),bigC(product(b,c),c,X_18)) )],[refute_0_12901,refute_0_12902]) ).

cnf(refute_0_12904,plain,
    ( bigC(product(b,c),X_18,c) != product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))
    | bigC(b,product(c,a),X_18) = bigC(product(b,c),c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_18),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) )],[refute_0_12893,refute_0_12903]) ).

cnf(refute_0_12905,plain,
    bigC(b,product(c,a),X_18) = bigC(product(b,c),c,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,c),product(product(difference(c,bigC(b,a,b)),X_18),bigC(b,a,b))) )],[refute_0_12891,refute_0_12904]) ).

cnf(refute_0_12906,plain,
    ( bigC(b,product(c,a),X_18) != bigC(product(b,c),c,X_18)
    | bigC(product(b,c),c,X_18) = bigC(b,product(c,a),X_18) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(c,a),X_18))),bind(Y,$fot(bigC(product(b,c),c,X_18)))]]) ).

cnf(refute_0_12907,plain,
    bigC(product(b,c),c,X_18) = bigC(b,product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_18),bigC(product(b,c),c,X_18)) )],[refute_0_12905,refute_0_12906]) ).

cnf(refute_0_12908,plain,
    bigC(product(b,c),c,C) = bigC(b,product(c,a),C),
    inference(subst,[],[refute_0_12907:[bind(X_18,$fot(C))]]) ).

cnf(refute_0_12909,plain,
    ( bigC(product(b,c),c,C) != bigC(b,product(c,a),C)
    | bigC(product(b,c),c,C) != product(product(b,product(a,c)),product(C,product(b,c)))
    | bigC(b,product(c,a),C) = product(product(b,product(a,c)),product(C,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),c,C),product(product(b,product(a,c)),product(C,product(b,c)))) ),[0],$fot(bigC(b,product(c,a),C))]]) ).

cnf(refute_0_12910,plain,
    ( bigC(product(b,c),c,C) != product(product(b,product(a,c)),product(C,product(b,c)))
    | bigC(b,product(c,a),C) = product(product(b,product(a,c)),product(C,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,C),bigC(b,product(c,a),C)) )],[refute_0_12908,refute_0_12909]) ).

cnf(refute_0_12911,plain,
    bigC(b,product(c,a),C) = product(product(b,product(a,c)),product(C,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,C),product(product(b,product(a,c)),product(C,product(b,c)))) )],[refute_0_12888,refute_0_12910]) ).

cnf(refute_0_12912,plain,
    product(bigC(b,a,b),product(C,c)) = bigC(c,product(b,c),C),
    inference(subst,[],[refute_0_12835:[bind(X_19,$fot(C))]]) ).

cnf(refute_0_12913,plain,
    ( product(bigC(X_24,X_25,X_24),product(X_97,X_26)) != product(bigC(X_24,X_24,X_25),product(X_97,X_26))
    | product(bigC(X_24,X_24,X_25),product(X_97,X_26)) = product(bigC(X_24,X_25,X_24),product(X_97,X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(X_24,X_25,X_24),product(X_97,X_26)))),bind(Y,$fot(product(bigC(X_24,X_24,X_25),product(X_97,X_26))))]]) ).

cnf(refute_0_12914,plain,
    product(bigC(X_24,X_24,X_25),product(X_97,X_26)) = product(bigC(X_24,X_25,X_24),product(X_97,X_26)),
    inference(resolve,[$cnf( $equal(product(bigC(X_24,X_25,X_24),product(X_97,X_26)),product(bigC(X_24,X_24,X_25),product(X_97,X_26))) )],[refute_0_3763,refute_0_12913]) ).

cnf(refute_0_12915,plain,
    product(bigC(b,b,a),product(C,c)) = product(bigC(b,a,b),product(C,c)),
    inference(subst,[],[refute_0_12914:[bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(c)),bind(X_97,$fot(C))]]) ).

cnf(refute_0_12916,plain,
    ( product(bigC(b,a,b),product(C,c)) != bigC(c,product(b,c),C)
    | product(bigC(b,b,a),product(C,c)) != product(bigC(b,a,b),product(C,c))
    | product(bigC(b,b,a),product(C,c)) = bigC(c,product(b,c),C) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,a),product(C,c)))),bind(Y,$fot(product(bigC(b,a,b),product(C,c)))),bind(Z,$fot(bigC(c,product(b,c),C)))]]) ).

cnf(refute_0_12917,plain,
    ( product(bigC(b,a,b),product(C,c)) != bigC(c,product(b,c),C)
    | product(bigC(b,b,a),product(C,c)) = bigC(c,product(b,c),C) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),product(C,c)),product(bigC(b,a,b),product(C,c))) )],[refute_0_12915,refute_0_12916]) ).

cnf(refute_0_12918,plain,
    product(bigC(b,b,a),product(C,c)) = bigC(c,product(b,c),C),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(C,c)),bigC(c,product(b,c),C)) )],[refute_0_12912,refute_0_12917]) ).

cnf(refute_0_12919,plain,
    product(product(b,C),product(product(a,b),c)) = product(bigC(b,b,a),product(C,c)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(b)),bind(B,$fot(C)),bind(D,$fot(c)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_12920,plain,
    ( product(bigC(b,b,a),product(C,c)) != bigC(c,product(b,c),C)
    | product(product(b,C),product(product(a,b),c)) != product(bigC(b,b,a),product(C,c))
    | product(product(b,C),product(product(a,b),c)) = bigC(c,product(b,c),C) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,C),product(product(a,b),c)))),bind(Y,$fot(product(bigC(b,b,a),product(C,c)))),bind(Z,$fot(bigC(c,product(b,c),C)))]]) ).

cnf(refute_0_12921,plain,
    ( product(bigC(b,b,a),product(C,c)) != bigC(c,product(b,c),C)
    | product(product(b,C),product(product(a,b),c)) = bigC(c,product(b,c),C) ),
    inference(resolve,[$cnf( $equal(product(product(b,C),product(product(a,b),c)),product(bigC(b,b,a),product(C,c))) )],[refute_0_12919,refute_0_12920]) ).

cnf(refute_0_12922,plain,
    product(product(b,C),product(product(a,b),c)) = bigC(c,product(b,c),C),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),product(C,c)),bigC(c,product(b,c),C)) )],[refute_0_12918,refute_0_12921]) ).

cnf(refute_0_12923,plain,
    product(product(b,product(a,c)),product(C,product(b,c))) = product(product(b,C),product(product(a,b),c)),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(b)),bind(X_96,$fot(a)),bind(X_97,$fot(b)),bind(X_98,$fot(c))]]) ).

cnf(refute_0_12924,plain,
    ( product(product(b,C),product(product(a,b),c)) != bigC(c,product(b,c),C)
    | product(product(b,product(a,c)),product(C,product(b,c))) != product(product(b,C),product(product(a,b),c))
    | product(product(b,product(a,c)),product(C,product(b,c))) = bigC(c,product(b,c),C) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),product(C,product(b,c))))),bind(Y,$fot(product(product(b,C),product(product(a,b),c)))),bind(Z,$fot(bigC(c,product(b,c),C)))]]) ).

cnf(refute_0_12925,plain,
    ( product(product(b,C),product(product(a,b),c)) != bigC(c,product(b,c),C)
    | product(product(b,product(a,c)),product(C,product(b,c))) = bigC(c,product(b,c),C) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(C,product(b,c))),product(product(b,C),product(product(a,b),c))) )],[refute_0_12923,refute_0_12924]) ).

cnf(refute_0_12926,plain,
    product(product(b,product(a,c)),product(C,product(b,c))) = bigC(c,product(b,c),C),
    inference(resolve,[$cnf( $equal(product(product(b,C),product(product(a,b),c)),bigC(c,product(b,c),C)) )],[refute_0_12922,refute_0_12925]) ).

cnf(refute_0_12927,plain,
    ( bigC(b,product(c,a),C) != product(product(b,product(a,c)),product(C,product(b,c)))
    | product(product(b,product(a,c)),product(C,product(b,c))) != bigC(c,product(b,c),C)
    | bigC(b,product(c,a),C) = bigC(c,product(b,c),C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),C),bigC(c,product(b,c),C)) ),[0],$fot(product(product(b,product(a,c)),product(C,product(b,c))))]]) ).

cnf(refute_0_12928,plain,
    ( bigC(b,product(c,a),C) != product(product(b,product(a,c)),product(C,product(b,c)))
    | bigC(b,product(c,a),C) = bigC(c,product(b,c),C) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(C,product(b,c))),bigC(c,product(b,c),C)) )],[refute_0_12926,refute_0_12927]) ).

cnf(refute_0_12929,plain,
    bigC(b,product(c,a),C) = bigC(c,product(b,c),C),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),C),product(product(b,product(a,c)),product(C,product(b,c)))) )],[refute_0_12911,refute_0_12928]) ).

cnf(refute_0_12930,plain,
    ( bigC(b,product(c,a),C) != bigC(c,product(b,c),C)
    | bigC(c,product(b,c),C) = bigC(b,product(c,a),C) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(c,a),C))),bind(Y,$fot(bigC(c,product(b,c),C)))]]) ).

cnf(refute_0_12931,plain,
    bigC(c,product(b,c),C) = bigC(b,product(c,a),C),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),C),bigC(c,product(b,c),C)) )],[refute_0_12929,refute_0_12930]) ).

cnf(refute_0_12932,plain,
    bigC(c,product(b,c),X_18) = bigC(b,product(c,a),X_18),
    inference(subst,[],[refute_0_12931:[bind(C,$fot(X_18))]]) ).

cnf(refute_0_12933,plain,
    ( bigC(c,product(b,c),X_18) != bigC(b,product(c,a),X_18)
    | bigC(c,product(b,c),X_18) != bigC(product(c,a),b,X_18)
    | bigC(b,product(c,a),X_18) = bigC(product(c,a),b,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,c),X_18),bigC(product(c,a),b,X_18)) ),[0],$fot(bigC(b,product(c,a),X_18))]]) ).

cnf(refute_0_12934,plain,
    ( bigC(c,product(b,c),X_18) != bigC(product(c,a),b,X_18)
    | bigC(b,product(c,a),X_18) = bigC(product(c,a),b,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_18),bigC(b,product(c,a),X_18)) )],[refute_0_12932,refute_0_12933]) ).

cnf(refute_0_12935,plain,
    bigC(b,product(c,a),X_18) = bigC(product(c,a),b,X_18),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_18),bigC(product(c,a),b,X_18)) )],[refute_0_12884,refute_0_12934]) ).

cnf(refute_0_12936,plain,
    ( bigC(b,product(c,a),X_18) != bigC(product(c,a),b,X_18)
    | bigC(product(c,a),b,X_18) = bigC(b,product(c,a),X_18) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(c,a),X_18))),bind(Y,$fot(bigC(product(c,a),b,X_18)))]]) ).

cnf(refute_0_12937,plain,
    bigC(product(c,a),b,X_18) = bigC(b,product(c,a),X_18),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_18),bigC(product(c,a),b,X_18)) )],[refute_0_12935,refute_0_12936]) ).

cnf(refute_0_12938,plain,
    bigC(product(c,a),b,bigC(b,b,c)) = bigC(b,product(c,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_12937:[bind(X_18,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12939,plain,
    product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = product(product(product(c,a),product(b,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(product(c,a))),bind(X_24,$fot(X_97)),bind(X_26,$fot(product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_12940,plain,
    bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(product(c,a),product(bigC(b,b,c),product(c,a))),
    inference(subst,[],[refute_0_85:[bind(X_18,$fot(product(c,a))),bind(X_19,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12941,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,a),product(bigC(b,b,c),product(c,a)))
    | product(bigC(b,b,c),product(c,a)) != product(b,bigC(a,a,c))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(product(c,a),product(b,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,a),product(bigC(b,b,c),product(c,a)))) ),[1,1],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_12942,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,a),product(bigC(b,b,c),product(c,a)))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(product(c,a),product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,a)),product(b,bigC(a,a,c))) )],[refute_0_3838,refute_0_12941]) ).

cnf(refute_0_12943,plain,
    bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(product(c,a),product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,a),product(bigC(b,b,c),product(c,a)))) )],[refute_0_12940,refute_0_12942]) ).

cnf(refute_0_12944,plain,
    bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(product(product(c,a),bigC(b,b,c)),product(c,a)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,a))),bind(X_18,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12945,plain,
    ( bigC(product(c,a),bigC(b,b,c),product(c,a)) != product(product(product(c,a),bigC(b,b,c)),product(c,a))
    | product(product(c,a),bigC(b,b,c)) != bigC(b,a,product(a,b))
    | bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(bigC(b,a,product(a,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),product(product(product(c,a),bigC(b,b,c)),product(c,a))) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_12946,plain,
    ( bigC(product(c,a),bigC(b,b,c),product(c,a)) != product(product(product(c,a),bigC(b,b,c)),product(c,a))
    | bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(bigC(b,a,product(a,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),bigC(b,a,product(a,b))) )],[refute_0_1380,refute_0_12945]) ).

cnf(refute_0_12947,plain,
    bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(bigC(b,a,product(a,b)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),product(product(product(c,a),bigC(b,b,c)),product(c,a))) )],[refute_0_12944,refute_0_12946]) ).

cnf(refute_0_12948,plain,
    bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(product(c,bigC(b,b,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(bigC(b,b,c))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_12949,plain,
    bigC(product(c,a),bigC(b,b,c),product(c,a)) = bigC(product(c,a),product(c,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,a))),bind(B,$fot(product(c,a))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12950,plain,
    ( bigC(product(c,a),bigC(b,b,c),product(c,a)) != bigC(product(c,a),product(c,a),bigC(b,b,c))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,bigC(b,b,c)),bigC(a,a,c))
    | bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(product(c,bigC(b,b,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),bigC(b,b,c),product(c,a)))),bind(Y,$fot(bigC(product(c,a),product(c,a),bigC(b,b,c)))),bind(Z,$fot(product(product(c,bigC(b,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_12951,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,bigC(b,b,c)),bigC(a,a,c))
    | bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(product(c,bigC(b,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),bigC(product(c,a),product(c,a),bigC(b,b,c))) )],[refute_0_12949,refute_0_12950]) ).

cnf(refute_0_12952,plain,
    bigC(product(c,a),bigC(b,b,c),product(c,a)) = product(product(c,bigC(b,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,bigC(b,b,c)),bigC(a,a,c))) )],[refute_0_12948,refute_0_12951]) ).

cnf(refute_0_12953,plain,
    ( bigC(product(c,a),bigC(b,b,c),product(c,a)) != product(bigC(b,a,product(a,b)),product(c,a))
    | bigC(product(c,a),bigC(b,b,c),product(c,a)) != product(product(c,bigC(b,b,c)),bigC(a,a,c))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(bigC(b,a,product(a,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),product(bigC(b,a,product(a,b)),product(c,a))) ),[0],$fot(product(product(c,bigC(b,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_12954,plain,
    ( bigC(product(c,a),bigC(b,b,c),product(c,a)) != product(bigC(b,a,product(a,b)),product(c,a))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(bigC(b,a,product(a,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),product(product(c,bigC(b,b,c)),bigC(a,a,c))) )],[refute_0_12952,refute_0_12953]) ).

cnf(refute_0_12955,plain,
    product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(bigC(b,a,product(a,b)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),bigC(b,b,c),product(c,a)),product(bigC(b,a,product(a,b)),product(c,a))) )],[refute_0_12947,refute_0_12954]) ).

cnf(refute_0_12956,plain,
    product(c,product(product(c,product(c,b)),X_26)) = product(product(c,product(c,product(c,b))),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_12957,plain,
    ( product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | product(c,product(product(c,product(c,b)),X_26)) != product(product(c,product(c,product(c,b))),product(c,X_26))
    | product(c,product(product(c,product(c,b)),X_26)) = product(bigC(b,a,product(a,b)),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(product(c,product(c,product(c,b))),product(c,X_26))) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_12958,plain,
    ( product(c,product(product(c,product(c,b)),X_26)) != product(product(c,product(c,product(c,b))),product(c,X_26))
    | product(c,product(product(c,product(c,b)),X_26)) = product(bigC(b,a,product(a,b)),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_12957]) ).

cnf(refute_0_12959,plain,
    product(c,product(product(c,product(c,b)),X_26)) = product(bigC(b,a,product(a,b)),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(product(c,product(c,product(c,b))),product(c,X_26))) )],[refute_0_12956,refute_0_12958]) ).

cnf(refute_0_12960,plain,
    ( product(c,product(product(c,product(c,b)),X_26)) != product(bigC(b,a,product(a,b)),product(c,X_26))
    | product(bigC(b,a,product(a,b)),product(c,X_26)) = product(c,product(product(c,product(c,b)),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(c,product(c,b)),X_26)))),bind(Y,$fot(product(bigC(b,a,product(a,b)),product(c,X_26))))]]) ).

cnf(refute_0_12961,plain,
    product(bigC(b,a,product(a,b)),product(c,X_26)) = product(c,product(product(c,product(c,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(bigC(b,a,product(a,b)),product(c,X_26))) )],[refute_0_12959,refute_0_12960]) ).

cnf(refute_0_12962,plain,
    product(bigC(b,a,product(a,b)),product(c,a)) = product(c,product(product(c,product(c,b)),a)),
    inference(subst,[],[refute_0_12961:[bind(X_26,$fot(a))]]) ).

cnf(refute_0_12963,plain,
    ( product(bigC(b,a,product(a,b)),product(c,a)) != product(c,product(product(c,product(c,b)),a))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) != product(bigC(b,a,product(a,b)),product(c,a))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(c,product(product(c,product(c,b)),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(a,a,c)),product(bigC(b,a,product(a,b)),product(c,a))) ),[1],$fot(product(c,product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_12964,plain,
    ( product(product(c,bigC(b,b,c)),bigC(a,a,c)) != product(bigC(b,a,product(a,b)),product(c,a))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(c,product(product(c,product(c,b)),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(c,a)),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12962,refute_0_12963]) ).

cnf(refute_0_12965,plain,
    product(product(c,bigC(b,b,c)),bigC(a,a,c)) = product(c,product(product(c,product(c,b)),a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(a,a,c)),product(bigC(b,a,product(a,b)),product(c,a))) )],[refute_0_12955,refute_0_12964]) ).

cnf(refute_0_12966,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,bigC(b,b,c)),bigC(a,a,c))
    | product(product(c,bigC(b,b,c)),bigC(a,a,c)) != product(c,product(product(c,product(c,b)),a))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(c,product(product(c,product(c,b)),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),bigC(b,b,c)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),bigC(a,a,c)))),bind(Z,$fot(product(c,product(product(c,product(c,b)),a))))]]) ).

cnf(refute_0_12967,plain,
    ( product(product(c,bigC(b,b,c)),bigC(a,a,c)) != product(c,product(product(c,product(c,b)),a))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(c,product(product(c,product(c,b)),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,bigC(b,b,c)),bigC(a,a,c))) )],[refute_0_12948,refute_0_12966]) ).

cnf(refute_0_12968,plain,
    bigC(product(c,a),product(c,a),bigC(b,b,c)) = product(c,product(product(c,product(c,b)),a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(a,a,c)),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12965,refute_0_12967]) ).

cnf(refute_0_12969,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(c,product(product(c,product(c,b)),a))
    | bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,a),product(b,bigC(a,a,c)))
    | product(c,product(product(c,product(c,b)),a)) = product(product(c,a),product(b,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,a),product(b,bigC(a,a,c)))) ),[0],$fot(product(c,product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_12970,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(product(c,a),product(b,bigC(a,a,c)))
    | product(c,product(product(c,product(c,b)),a)) = product(product(c,a),product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12968,refute_0_12969]) ).

cnf(refute_0_12971,plain,
    product(c,product(product(c,product(c,b)),a)) = product(product(c,a),product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(product(c,a),product(b,bigC(a,a,c)))) )],[refute_0_12943,refute_0_12970]) ).

cnf(refute_0_12972,plain,
    ( product(c,product(product(c,product(c,b)),a)) != product(product(c,a),product(b,bigC(a,a,c)))
    | product(product(c,a),product(b,bigC(a,a,c))) = product(c,product(product(c,product(c,b)),a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(c,product(c,b)),a)))),bind(Y,$fot(product(product(c,a),product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_12973,plain,
    product(product(c,a),product(b,bigC(a,a,c))) = product(c,product(product(c,product(c,b)),a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),a)),product(product(c,a),product(b,bigC(a,a,c)))) )],[refute_0_12971,refute_0_12972]) ).

cnf(refute_0_12974,plain,
    ( product(product(c,a),product(b,bigC(a,a,c))) != product(c,product(product(c,product(c,b)),a))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != product(product(product(c,a),product(b,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),product(product(product(c,a),product(b,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))) ),[1,0],$fot(product(c,product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_12975,plain,
    ( product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != product(product(product(c,a),product(b,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,bigC(a,a,c))),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12973,refute_0_12974]) ).

cnf(refute_0_12976,plain,
    product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),product(product(product(c,a),product(b,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))) )],[refute_0_12939,refute_0_12975]) ).

cnf(refute_0_12977,plain,
    product(product(c,product(c,b)),product(X_97,bigC(a,a,c))) = bigC(product(c,a),X_97,bigC(b,b,c)),
    inference(subst,[],[refute_0_3847:[bind(B,$fot(X_97))]]) ).

cnf(refute_0_12978,plain,
    product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = product(product(c,product(c,b)),product(X_97,bigC(a,a,c))),
    inference(subst,[],[refute_0_2696:[bind(B,$fot(X_97)),bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12979,plain,
    ( product(product(c,product(c,b)),product(X_97,bigC(a,a,c))) != bigC(product(c,a),X_97,bigC(b,b,c))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != product(product(c,product(c,b)),product(X_97,bigC(a,a,c)))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = bigC(product(c,a),X_97,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,a),X_97),product(b,bigC(a,a,c))))),bind(Y,$fot(product(product(c,product(c,b)),product(X_97,bigC(a,a,c))))),bind(Z,$fot(bigC(product(c,a),X_97,bigC(b,b,c))))]]) ).

cnf(refute_0_12980,plain,
    ( product(product(c,product(c,b)),product(X_97,bigC(a,a,c))) != bigC(product(c,a),X_97,bigC(b,b,c))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = bigC(product(c,a),X_97,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),product(product(c,product(c,b)),product(X_97,bigC(a,a,c)))) )],[refute_0_12978,refute_0_12979]) ).

cnf(refute_0_12981,plain,
    product(product(product(c,a),X_97),product(b,bigC(a,a,c))) = bigC(product(c,a),X_97,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_97,bigC(a,a,c))),bigC(product(c,a),X_97,bigC(b,b,c))) )],[refute_0_12977,refute_0_12980]) ).

cnf(refute_0_12982,plain,
    ( product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != bigC(product(c,a),X_97,bigC(b,b,c))
    | product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))) ),[0],$fot(bigC(product(c,a),X_97,bigC(b,b,c)))]]) ).

cnf(refute_0_12983,plain,
    ( product(product(product(c,a),X_97),product(b,bigC(a,a,c))) != product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),bigC(product(c,a),X_97,bigC(b,b,c))) )],[refute_0_12981,refute_0_12982]) ).

cnf(refute_0_12984,plain,
    bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),X_97),product(b,bigC(a,a,c))),product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))) )],[refute_0_12976,refute_0_12983]) ).

cnf(refute_0_12985,plain,
    product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))),
    inference(subst,[],[refute_0_3755:[bind(A,$fot(c)),bind(C,$fot(X_97)),bind(X_96,$fot(c)),bind(X_97,$fot(b)),bind(X_98,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12986,plain,
    product(c,product(product(c,product(c,b)),a)) = product(c,product(product(c,product(c,b)),a)),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_12987,plain,
    ( product(c,product(product(c,product(c,b)),a)) != product(c,product(product(c,product(c,b)),a))
    | product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(c,product(product(c,product(c,b)),a)) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,product(c,b)),a)),product(c,product(product(c,product(c,b)),a))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_12988,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(c,product(product(c,product(c,b)),a)) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),a)),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12986,refute_0_12987]) ).

cnf(refute_0_12989,plain,
    product(c,product(product(c,product(c,b)),a)) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_12988]) ).

cnf(refute_0_12990,plain,
    product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_12991,plain,
    ( product(c,product(product(c,product(c,b)),a)) != product(c,product(c,bigC(a,a,c)))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) != product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))) ),[1,0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_12992,plain,
    ( product(c,product(product(c,product(c,b)),a)) != product(c,product(c,bigC(a,a,c)))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))) )],[refute_0_12990,refute_0_12991]) ).

cnf(refute_0_12993,plain,
    product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),a)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_12989,refute_0_12992]) ).

cnf(refute_0_12994,plain,
    ( product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) != product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))))),bind(Y,$fot(product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))))),bind(Z,$fot(product(product(c,X_97),product(product(c,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_12995,plain,
    ( product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c))))) )],[refute_0_12993,refute_0_12994]) ).

cnf(refute_0_12996,plain,
    product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(a,a,c))),product(X_97,product(b,bigC(a,a,c)))),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) )],[refute_0_12985,refute_0_12995]) ).

cnf(refute_0_12997,plain,
    ( bigC(product(c,a),X_97,bigC(b,b,c)) != product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))
    | product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),X_97,bigC(b,b,c)),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) ),[0],$fot(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_12998,plain,
    ( bigC(product(c,a),X_97,bigC(b,b,c)) != product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c)))),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) )],[refute_0_12996,refute_0_12997]) ).

cnf(refute_0_12999,plain,
    bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_97,bigC(b,b,c)),product(product(c,product(product(c,product(c,b)),a)),product(X_97,product(b,bigC(a,a,c))))) )],[refute_0_12984,refute_0_12998]) ).

cnf(refute_0_13000,plain,
    product(product(quotient(c,a),product(c,b)),a) = product(product(quotient(c,a),c),bigC(a,a,c)),
    inference(subst,[],[refute_0_9271:[bind(X_96,$fot(quotient(c,a)))]]) ).

cnf(refute_0_13001,plain,
    ( product(product(quotient(c,a),product(c,b)),a) != product(product(quotient(c,a),c),bigC(a,a,c))
    | product(quotient(c,a),c) != product(c,b)
    | product(product(quotient(c,a),product(c,b)),a) = product(product(c,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),product(product(quotient(c,a),c),bigC(a,a,c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_13002,plain,
    ( product(product(quotient(c,a),product(c,b)),a) != product(product(quotient(c,a),c),bigC(a,a,c))
    | product(product(quotient(c,a),product(c,b)),a) = product(product(c,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_6244,refute_0_13001]) ).

cnf(refute_0_13003,plain,
    product(product(quotient(c,a),product(c,b)),a) = product(product(c,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),product(product(quotient(c,a),c),bigC(a,a,c))) )],[refute_0_13000,refute_0_13002]) ).

cnf(refute_0_13004,plain,
    ( product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | product(c,product(product(c,b),a)) != product(c,product(c,product(c,a)))
    | product(c,product(product(c,b),a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,b),a)))),bind(Y,$fot(product(c,product(c,product(c,a))))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_13005,plain,
    ( product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | product(c,product(product(c,b),a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),product(c,product(c,product(c,a)))) )],[refute_0_3686,refute_0_13004]) ).

cnf(refute_0_13006,plain,
    product(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_3699,refute_0_13005]) ).

cnf(refute_0_13007,plain,
    product(product(quotient(A,X_98),X_97),X_98) = product(product(quotient(A,X_98),X_98),product(X_97,X_98)),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(quotient(A,X_98))),bind(X_24,$fot(X_97)),bind(X_26,$fot(X_98))]]) ).

cnf(refute_0_13008,plain,
    product(quotient(A,X_98),X_98) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_98))]]) ).

cnf(refute_0_13009,plain,
    ( product(product(quotient(A,X_98),X_97),X_98) != product(product(quotient(A,X_98),X_98),product(X_97,X_98))
    | product(quotient(A,X_98),X_98) != A
    | product(product(quotient(A,X_98),X_97),X_98) = product(A,product(X_97,X_98)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(A,X_98),X_97),X_98),product(product(quotient(A,X_98),X_98),product(X_97,X_98))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_13010,plain,
    ( product(product(quotient(A,X_98),X_97),X_98) != product(product(quotient(A,X_98),X_98),product(X_97,X_98))
    | product(product(quotient(A,X_98),X_97),X_98) = product(A,product(X_97,X_98)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_98),X_98),A) )],[refute_0_13008,refute_0_13009]) ).

cnf(refute_0_13011,plain,
    product(product(quotient(A,X_98),X_97),X_98) = product(A,product(X_97,X_98)),
    inference(resolve,[$cnf( $equal(product(product(quotient(A,X_98),X_97),X_98),product(product(quotient(A,X_98),X_98),product(X_97,X_98))) )],[refute_0_13007,refute_0_13010]) ).

cnf(refute_0_13012,plain,
    product(product(quotient(c,a),product(c,b)),a) = product(c,product(product(c,b),a)),
    inference(subst,[],[refute_0_13011:[bind(A,$fot(c)),bind(X_97,$fot(product(c,b))),bind(X_98,$fot(a))]]) ).

cnf(refute_0_13013,plain,
    ( product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | product(product(quotient(c,a),product(c,b)),a) != product(c,product(product(c,b),a))
    | product(product(quotient(c,a),product(c,b)),a) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(quotient(c,a),product(c,b)),a))),bind(Y,$fot(product(c,product(product(c,b),a)))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_13014,plain,
    ( product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | product(product(quotient(c,a),product(c,b)),a) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),product(c,product(product(c,b),a))) )],[refute_0_13012,refute_0_13013]) ).

cnf(refute_0_13015,plain,
    product(product(quotient(c,a),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_13006,refute_0_13014]) ).

cnf(refute_0_13016,plain,
    ( product(product(quotient(c,a),product(c,b)),a) != bigC(a,b,product(b,a))
    | product(product(quotient(c,a),product(c,b)),a) != product(product(c,b),bigC(a,a,c))
    | bigC(a,b,product(b,a)) = product(product(c,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),product(product(c,b),bigC(a,a,c))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_13017,plain,
    ( product(product(quotient(c,a),product(c,b)),a) != product(product(c,b),bigC(a,a,c))
    | bigC(a,b,product(b,a)) = product(product(c,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),bigC(a,b,product(b,a))) )],[refute_0_13015,refute_0_13016]) ).

cnf(refute_0_13018,plain,
    bigC(a,b,product(b,a)) = product(product(c,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),product(c,b)),a),product(product(c,b),bigC(a,a,c))) )],[refute_0_13003,refute_0_13017]) ).

cnf(refute_0_13019,plain,
    ( bigC(a,b,product(b,a)) != product(product(c,b),bigC(a,a,c))
    | product(product(c,b),bigC(a,a,c)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_13020,plain,
    product(product(c,b),bigC(a,a,c)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(product(c,b),bigC(a,a,c))) )],[refute_0_13018,refute_0_13019]) ).

cnf(refute_0_13021,plain,
    product(product(c,X_97),product(product(c,b),bigC(a,a,c))) = product(product(c,X_97),product(product(c,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,X_97),product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_13022,plain,
    ( product(product(c,X_97),product(product(c,b),bigC(a,a,c))) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | product(product(c,X_97),product(product(c,b),bigC(a,a,c))) = product(product(c,X_97),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_97),product(product(c,b),bigC(a,a,c))),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_13023,plain,
    ( product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | product(product(c,X_97),product(product(c,b),bigC(a,a,c))) = product(product(c,X_97),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(c,b),bigC(a,a,c))),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) )],[refute_0_13021,refute_0_13022]) ).

cnf(refute_0_13024,plain,
    product(product(c,X_97),product(product(c,b),bigC(a,a,c))) = product(product(c,X_97),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_13020,refute_0_13023]) ).

cnf(refute_0_13025,plain,
    ( bigC(product(c,a),X_97,bigC(b,b,c)) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | product(product(c,X_97),product(product(c,b),bigC(a,a,c))) != product(product(c,X_97),bigC(a,b,product(b,a)))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),X_97,bigC(b,b,c)),product(product(c,X_97),bigC(a,b,product(b,a)))) ),[0],$fot(product(product(c,X_97),product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_13026,plain,
    ( bigC(product(c,a),X_97,bigC(b,b,c)) != product(product(c,X_97),product(product(c,b),bigC(a,a,c)))
    | bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_97),product(product(c,b),bigC(a,a,c))),product(product(c,X_97),bigC(a,b,product(b,a)))) )],[refute_0_13024,refute_0_13025]) ).

cnf(refute_0_13027,plain,
    bigC(product(c,a),X_97,bigC(b,b,c)) = product(product(c,X_97),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_97,bigC(b,b,c)),product(product(c,X_97),product(product(c,b),bigC(a,a,c)))) )],[refute_0_12999,refute_0_13026]) ).

cnf(refute_0_13028,plain,
    ( bigC(product(c,a),X_97,bigC(b,b,c)) != product(product(c,X_97),bigC(a,b,product(b,a)))
    | product(product(c,X_97),bigC(a,b,product(b,a))) = bigC(product(c,a),X_97,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,a),X_97,bigC(b,b,c)))),bind(Y,$fot(product(product(c,X_97),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_13029,plain,
    product(product(c,X_97),bigC(a,b,product(b,a))) = bigC(product(c,a),X_97,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_97,bigC(b,b,c)),product(product(c,X_97),bigC(a,b,product(b,a)))) )],[refute_0_13027,refute_0_13028]) ).

cnf(refute_0_13030,plain,
    product(product(c,b),bigC(a,b,product(b,a))) = bigC(product(c,a),b,bigC(b,b,c)),
    inference(subst,[],[refute_0_13029:[bind(X_97,$fot(b))]]) ).

cnf(refute_0_13031,plain,
    ( bigC(product(c,a),b,bigC(b,b,c)) != bigC(b,product(c,a),bigC(b,b,c))
    | product(product(c,b),bigC(a,b,product(b,a))) != bigC(product(c,a),b,bigC(b,b,c))
    | product(product(c,b),bigC(a,b,product(b,a))) = bigC(b,product(c,a),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),bigC(a,b,product(b,a))))),bind(Y,$fot(bigC(product(c,a),b,bigC(b,b,c)))),bind(Z,$fot(bigC(b,product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_13032,plain,
    ( bigC(product(c,a),b,bigC(b,b,c)) != bigC(b,product(c,a),bigC(b,b,c))
    | product(product(c,b),bigC(a,b,product(b,a))) = bigC(b,product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,product(b,a))),bigC(product(c,a),b,bigC(b,b,c))) )],[refute_0_13030,refute_0_13031]) ).

cnf(refute_0_13033,plain,
    product(product(c,b),bigC(a,b,product(b,a))) = bigC(b,product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,bigC(b,b,c)),bigC(b,product(c,a),bigC(b,b,c))) )],[refute_0_12938,refute_0_13032]) ).

cnf(refute_0_13034,plain,
    product(product(c,b),product(product(c,b),bigC(a,a,c))) = product(product(c,b),product(product(c,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_13035,plain,
    ( product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) != product(product(c,b),product(product(c,b),bigC(a,a,c)))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) = product(product(c,b),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(a,a,c))),product(product(c,b),product(product(c,b),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_13036,plain,
    ( product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) = product(product(c,b),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(a,a,c))),product(product(c,b),product(product(c,b),bigC(a,a,c)))) )],[refute_0_13034,refute_0_13035]) ).

cnf(refute_0_13037,plain,
    product(product(c,b),product(product(c,b),bigC(a,a,c))) = product(product(c,b),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_13020,refute_0_13036]) ).

cnf(refute_0_13038,plain,
    ( product(product(c,b),bigC(a,b,product(b,a))) != bigC(b,product(c,a),bigC(b,b,c))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) != product(product(c,b),bigC(a,b,product(b,a)))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) = bigC(b,product(c,a),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(product(c,b),bigC(a,a,c))))),bind(Y,$fot(product(product(c,b),bigC(a,b,product(b,a))))),bind(Z,$fot(bigC(b,product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_13039,plain,
    ( product(product(c,b),bigC(a,b,product(b,a))) != bigC(b,product(c,a),bigC(b,b,c))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) = bigC(b,product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(a,a,c))),product(product(c,b),bigC(a,b,product(b,a)))) )],[refute_0_13037,refute_0_13038]) ).

cnf(refute_0_13040,plain,
    product(product(c,b),product(product(c,b),bigC(a,a,c))) = bigC(b,product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,product(b,a))),bigC(b,product(c,a),bigC(b,b,c))) )],[refute_0_13033,refute_0_13039]) ).

cnf(refute_0_13041,plain,
    product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) = product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_13042,plain,
    ( product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) != product(c,product(product(c,b),product(product(c,b),bigC(a,a,c))))
    | product(product(c,b),product(product(c,b),bigC(a,a,c))) != bigC(b,product(c,a),bigC(b,b,c))
    | product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))),product(c,product(product(c,b),product(product(c,b),bigC(a,a,c))))) ),[1,1],$fot(bigC(b,product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_13043,plain,
    ( product(product(c,b),product(product(c,b),bigC(a,a,c))) != bigC(b,product(c,a),bigC(b,b,c))
    | product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))),product(c,product(product(c,b),product(product(c,b),bigC(a,a,c))))) )],[refute_0_13041,refute_0_13042]) ).

cnf(refute_0_13044,plain,
    product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(a,a,c))),bigC(b,product(c,a),bigC(b,b,c))) )],[refute_0_13040,refute_0_13043]) ).

cnf(refute_0_13045,plain,
    product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) = product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(c,b))),bind(D,$fot(bigC(a,a,c))),bind(X_65,$fot(c))]]) ).

cnf(refute_0_13046,plain,
    ( product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) != product(c,product(product(c,b),product(product(c,b),bigC(a,a,c))))
    | product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))))),bind(Y,$fot(product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))))),bind(Z,$fot(product(c,bigC(b,product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_13047,plain,
    ( product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))),product(c,product(product(c,b),product(product(c,b),bigC(a,a,c))))) )],[refute_0_13045,refute_0_13046]) ).

cnf(refute_0_13048,plain,
    product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),product(product(c,b),bigC(a,a,c)))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) )],[refute_0_13044,refute_0_13047]) ).

cnf(refute_0_13049,plain,
    product(bigC(b,a,product(a,b)),product(c,X_26)) = product(bigC(b,a,product(a,b)),product(c,X_26)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,product(a,b)),product(c,X_26)))]]) ).

cnf(refute_0_13050,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),product(c,X_26)) != product(bigC(b,a,product(a,b)),product(c,X_26))
    | product(bigC(b,a,product(a,b)),product(c,X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(c,X_26)),product(bigC(b,a,product(a,b)),product(c,X_26))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_13051,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),product(c,X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(c,X_26)),product(bigC(b,a,product(a,b)),product(c,X_26))) )],[refute_0_13049,refute_0_13050]) ).

cnf(refute_0_13052,plain,
    product(bigC(b,a,product(a,b)),product(c,X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_13051]) ).

cnf(refute_0_13053,plain,
    ( product(bigC(b,a,product(a,b)),product(c,X_26)) != product(bigC(a,b,product(a,b)),product(c,X_26))
    | product(c,product(product(c,product(c,b)),X_26)) != product(bigC(b,a,product(a,b)),product(c,X_26))
    | product(c,product(product(c,product(c,b)),X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(bigC(b,a,product(a,b)),product(c,X_26))) ),[1],$fot(product(bigC(a,b,product(a,b)),product(c,X_26)))]]) ).

cnf(refute_0_13054,plain,
    ( product(c,product(product(c,product(c,b)),X_26)) != product(bigC(b,a,product(a,b)),product(c,X_26))
    | product(c,product(product(c,product(c,b)),X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(c,X_26)),product(bigC(a,b,product(a,b)),product(c,X_26))) )],[refute_0_13052,refute_0_13053]) ).

cnf(refute_0_13055,plain,
    product(c,product(product(c,product(c,b)),X_26)) = product(bigC(a,b,product(a,b)),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(bigC(b,a,product(a,b)),product(c,X_26))) )],[refute_0_12959,refute_0_13054]) ).

cnf(refute_0_13056,plain,
    ( product(c,product(product(c,product(c,b)),X_26)) != product(bigC(a,b,product(a,b)),product(c,X_26))
    | product(bigC(a,b,product(a,b)),product(c,X_26)) = product(c,product(product(c,product(c,b)),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(c,product(c,b)),X_26)))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(c,X_26))))]]) ).

cnf(refute_0_13057,plain,
    product(bigC(a,b,product(a,b)),product(c,X_26)) = product(c,product(product(c,product(c,b)),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),X_26)),product(bigC(a,b,product(a,b)),product(c,X_26))) )],[refute_0_13055,refute_0_13056]) ).

cnf(refute_0_13058,plain,
    product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) = product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))),
    inference(subst,[],[refute_0_13057:[bind(X_26,$fot(product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_13059,plain,
    ( product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) != product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c))))
    | product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))))),bind(Y,$fot(product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))))),bind(Z,$fot(product(c,bigC(b,product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_13060,plain,
    ( product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))),product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c))))) )],[refute_0_13058,refute_0_13059]) ).

cnf(refute_0_13061,plain,
    product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),product(b,bigC(a,a,c)))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) )],[refute_0_13048,refute_0_13060]) ).

cnf(refute_0_13062,plain,
    product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_13063,plain,
    ( product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) != product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c))))
    | product(product(c,b),product(c,bigC(a,a,c))) != product(c,product(b,bigC(a,a,c)))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c))))) ),[1,1],$fot(product(c,product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_13064,plain,
    ( product(product(c,b),product(c,bigC(a,a,c))) != product(c,product(b,bigC(a,a,c)))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c))))) )],[refute_0_13062,refute_0_13063]) ).

cnf(refute_0_13065,plain,
    product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,bigC(a,a,c))),product(c,product(b,bigC(a,a,c)))) )],[refute_0_3798,refute_0_13064]) ).

cnf(refute_0_13066,plain,
    ( product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) != product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c))))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))))),bind(Z,$fot(product(c,bigC(b,product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_13067,plain,
    ( product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c))))) )],[refute_0_13065,refute_0_13066]) ).

cnf(refute_0_13068,plain,
    product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(b,bigC(a,a,c)))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) )],[refute_0_13061,refute_0_13067]) ).

cnf(refute_0_13069,plain,
    product(product(c,B),product(product(c,product(c,b)),D)) = product(product(c,product(c,product(c,b))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_13070,plain,
    ( product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | product(product(c,B),product(product(c,product(c,b)),D)) != product(product(c,product(c,product(c,b))),product(B,D))
    | product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(b,a,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(c,product(c,b)),D)),product(product(c,product(c,product(c,b))),product(B,D))) ),[1,0],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_13071,plain,
    ( product(product(c,B),product(product(c,product(c,b)),D)) != product(product(c,product(c,product(c,b))),product(B,D))
    | product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(b,a,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_13070]) ).

cnf(refute_0_13072,plain,
    product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(b,a,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,product(c,b)),D)),product(product(c,product(c,product(c,b))),product(B,D))) )],[refute_0_13069,refute_0_13071]) ).

cnf(refute_0_13073,plain,
    product(bigC(b,a,product(a,b)),product(B,D)) = product(bigC(b,a,product(a,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,product(a,b)),product(B,D)))]]) ).

cnf(refute_0_13074,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),product(B,D)) != product(bigC(b,a,product(a,b)),product(B,D))
    | product(bigC(b,a,product(a,b)),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(B,D)),product(bigC(b,a,product(a,b)),product(B,D))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_13075,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(bigC(b,a,product(a,b)),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,product(a,b)),product(B,D)),product(bigC(b,a,product(a,b)),product(B,D))) )],[refute_0_13073,refute_0_13074]) ).

cnf(refute_0_13076,plain,
    product(bigC(b,a,product(a,b)),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_13075]) ).

cnf(refute_0_13077,plain,
    ( product(bigC(b,a,product(a,b)),product(B,D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(c,B),product(product(c,product(c,b)),D)) != product(bigC(b,a,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)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(c,product(c,b)),D)),product(bigC(b,a,product(a,b)),product(B,D))) ),[1],$fot(product(bigC(a,b,product(a,b)),product(B,D)))]]) ).

cnf(refute_0_13078,plain,
    ( product(product(c,B),product(product(c,product(c,b)),D)) != product(bigC(b,a,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(bigC(b,a,product(a,b)),product(B,D)),product(bigC(a,b,product(a,b)),product(B,D))) )],[refute_0_13076,refute_0_13077]) ).

cnf(refute_0_13079,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(product(c,product(c,b)),D)),product(bigC(b,a,product(a,b)),product(B,D))) )],[refute_0_13072,refute_0_13078]) ).

cnf(refute_0_13080,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),
    inference(subst,[],[refute_0_13079:[bind(B,$fot(product(c,b))),bind(D,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_13081,plain,
    ( product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c))))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))))),bind(Z,$fot(product(c,bigC(b,product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_13082,plain,
    ( product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c))))) )],[refute_0_13080,refute_0_13081]) ).

cnf(refute_0_13083,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(c,bigC(b,product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,bigC(a,a,c)))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) )],[refute_0_13068,refute_0_13082]) ).

cnf(refute_0_13084,plain,
    product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))))]]) ).

cnf(refute_0_13085,plain,
    ( product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))) ),[1,1],$fot(product(c,bigC(b,product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_13086,plain,
    ( product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(c,bigC(b,product(c,a),bigC(b,b,c)))
    | product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))) )],[refute_0_13084,refute_0_13085]) ).

cnf(refute_0_13087,plain,
    product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) )],[refute_0_13083,refute_0_13086]) ).

cnf(refute_0_13088,plain,
    product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_13089,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_13090,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13088,refute_0_13089]) ).

cnf(refute_0_13091,plain,
    product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_13090]) ).

cnf(refute_0_13092,plain,
    product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),
    inference(subst,[],[refute_0_12914:[bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(product(bigC(b,b,c),b))),bind(X_97,$fot(c))]]) ).

cnf(refute_0_13093,plain,
    product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) = product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))),
    inference(subst,[],[refute_0_392:[bind(A,$fot(c)),bind(B,$fot(c)),bind(D,$fot(product(bigC(b,b,c),b))),bind(X_36,$fot(a))]]) ).

cnf(refute_0_13094,plain,
    ( product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) != product(bigC(c,c,a),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))))),bind(Y,$fot(product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))))),bind(Z,$fot(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13095,plain,
    ( product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))),product(bigC(c,c,a),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13093,refute_0_13094]) ).

cnf(refute_0_13096,plain,
    product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(c,product(bigC(b,b,c),b))),product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13092,refute_0_13095]) ).

cnf(refute_0_13097,plain,
    product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(b)),bind(X_65,$fot(product(c,c)))]]) ).

cnf(refute_0_13098,plain,
    ( product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) != product(product(c,c),product(product(a,c),product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))))),bind(Y,$fot(product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))))),bind(Z,$fot(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13099,plain,
    ( product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))),product(product(c,c),product(product(a,c),product(bigC(b,b,c),b)))) )],[refute_0_13097,refute_0_13098]) ).

cnf(refute_0_13100,plain,
    product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,c),product(bigC(b,b,c),b))),product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13096,refute_0_13099]) ).

cnf(refute_0_13101,plain,
    ( product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) != product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))))),bind(Y,$fot(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))))),bind(Z,$fot(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13102,plain,
    ( product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))),product(bigC(c,a,c),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13100,refute_0_13101]) ).

cnf(refute_0_13103,plain,
    product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(c,product(bigC(b,b,c),b))),product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13091,refute_0_13102]) ).

cnf(refute_0_13104,plain,
    product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(difference(bigC(a,a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_13105,plain,
    bigC(quotient(product(c,bigC(a,a,c)),a),a,quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(c,bigC(a,a,c)))),bind(X_22,$fot(a))]]) ).

cnf(refute_0_13106,plain,
    quotient(product(product(c,product(c,b)),a),a) = product(c,product(c,b)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(a))]]) ).

cnf(refute_0_13107,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | quotient(product(product(c,product(c,b)),a),a) != product(c,product(c,b))
    | quotient(product(c,bigC(a,a,c)),a) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,b)),a),a),product(c,product(c,b))) ),[0,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_13108,plain,
    ( quotient(product(product(c,product(c,b)),a),a) != product(c,product(c,b))
    | quotient(product(c,bigC(a,a,c)),a) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_13107]) ).

cnf(refute_0_13109,plain,
    quotient(product(c,bigC(a,a,c)),a) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,b)),a),a),product(c,product(c,b))) )],[refute_0_13106,refute_0_13108]) ).

cnf(refute_0_13110,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),a),a,quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | quotient(product(c,bigC(a,a,c)),a) != product(c,product(c,b))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),a),a,quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13111,plain,
    ( bigC(quotient(product(c,bigC(a,a,c)),a),a,quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),a),product(c,product(c,b))) )],[refute_0_13109,refute_0_13110]) ).

cnf(refute_0_13112,plain,
    bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,a,c)),a),a,quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13105,refute_0_13111]) ).

cnf(refute_0_13113,plain,
    difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) = product(product(a,product(a,c)),bigC(c,b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)))),bind(B,$fot(product(product(a,product(a,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_13114,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(bigC(c,a,b),a),product(a,c)))),bind(X_25,$fot(bigC(a,a,c))),bind(X_26,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_13115,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) != product(a,c)
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))
    | product(a,c) = product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_13116,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))
    | product(a,c) = product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))),product(a,c)) )],[refute_0_6764,refute_0_13115]) ).

cnf(refute_0_13117,plain,
    product(a,c) = product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))) )],[refute_0_13114,refute_0_13116]) ).

cnf(refute_0_13118,plain,
    product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))),
    inference(subst,[],[refute_0_813:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(bigC(c,b,c))),bind(X_23,$fot(bigC(c,a,b))),bind(X_24,$fot(product(a,c))),bind(X_25,$fot(a)),bind(X_26,$fot(product(a,c)))]]) ).

cnf(refute_0_13119,plain,
    product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) = product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(bigC(c,b,c))),bind(X_65,$fot(product(bigC(c,a,b),a))),bind(X_66,$fot(product(a,c))),bind(X_67,$fot(product(a,c)))]]) ).

cnf(refute_0_13120,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))
    | product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) != product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c)))
    | product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))))),bind(Y,$fot(product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))))),bind(Z,$fot(product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))))]]) ).

cnf(refute_0_13121,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))) != product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))
    | product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))),product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c)))) )],[refute_0_13119,refute_0_13120]) ).

cnf(refute_0_13122,plain,
    product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(product(a,c),product(a,c))),product(bigC(a,a,c),bigC(c,b,c))),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) )],[refute_0_13118,refute_0_13121]) ).

cnf(refute_0_13123,plain,
    ( product(a,c) != product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))
    | product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))) != product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))
    | product(a,c) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,c),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) ),[0],$fot(product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_13124,plain,
    ( product(a,c) != product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))
    | product(a,c) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c))),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) )],[refute_0_13122,refute_0_13123]) ).

cnf(refute_0_13125,plain,
    product(a,c) = product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(a,c),product(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,b,c)))) )],[refute_0_13117,refute_0_13124]) ).

cnf(refute_0_13126,plain,
    ( product(a,c) != product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))
    | product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) = product(a,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))))]]) ).

cnf(refute_0_13127,plain,
    product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) )],[refute_0_13125,refute_0_13126]) ).

cnf(refute_0_13128,plain,
    ( difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) != product(product(a,product(a,c)),bigC(c,b,c))
    | product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))) != product(a,c)
    | difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))),product(product(a,product(a,c)),bigC(c,b,c))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_13129,plain,
    ( difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))) != product(product(a,product(a,c)),bigC(c,b,c))
    | difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c))),product(a,c)) )],[refute_0_13127,refute_0_13128]) ).

cnf(refute_0_13130,plain,
    difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(a,product(a,c)),bigC(c,b,c)))),product(product(a,product(a,c)),bigC(c,b,c))) )],[refute_0_13113,refute_0_13129]) ).

cnf(refute_0_13131,plain,
    product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) = product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_13132,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) != product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c))
    | product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_13133,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c))) )],[refute_0_13131,refute_0_13132]) ).

cnf(refute_0_13134,plain,
    product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_8306,refute_0_13133]) ).

cnf(refute_0_13135,plain,
    difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)))]]) ).

cnf(refute_0_13136,plain,
    ( difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) != difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c))
    | product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) != product(bigC(c,a,c),bigC(a,a,c))
    | difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c))) ),[1,0],$fot(product(bigC(c,a,c),bigC(a,a,c)))]]) ).

cnf(refute_0_13137,plain,
    ( product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)) != product(bigC(c,a,c),bigC(a,a,c))
    | difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c))) )],[refute_0_13135,refute_0_13136]) ).

cnf(refute_0_13138,plain,
    difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) = difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(bigC(c,a,c),bigC(a,a,c))) )],[refute_0_13134,refute_0_13137]) ).

cnf(refute_0_13139,plain,
    ( difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) != difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c))
    | difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(c,b,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),[0],$fot(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)))]]) ).

cnf(refute_0_13140,plain,
    ( difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(c,b,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c))) )],[refute_0_13138,refute_0_13139]) ).

cnf(refute_0_13141,plain,
    difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,a,b),product(a,c)),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(c,b,c))) )],[refute_0_13130,refute_0_13140]) ).

cnf(refute_0_13142,plain,
    product(product(a,product(a,c)),bigC(c,b,c)) = product(product(a,product(a,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_13143,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(a,product(a,c)),bigC(c,b,c)) != product(product(a,product(a,c)),bigC(c,b,c))
    | product(product(a,product(a,c)),bigC(c,b,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,c)),bigC(c,b,c)),product(product(a,product(a,c)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_13144,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(a,product(a,c)),bigC(c,b,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(c,b,c)),product(product(a,product(a,c)),bigC(c,b,c))) )],[refute_0_13142,refute_0_13143]) ).

cnf(refute_0_13145,plain,
    product(product(a,product(a,c)),bigC(c,b,c)) = product(product(a,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_13144]) ).

cnf(refute_0_13146,plain,
    ( difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(c,b,c))
    | product(product(a,product(a,c)),bigC(c,b,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) ),[0],$fot(product(product(a,product(a,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_13147,plain,
    ( difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(c,b,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(c,b,c)),product(product(a,product(a,c)),bigC(b,a,b))) )],[refute_0_13145,refute_0_13146]) ).

cnf(refute_0_13148,plain,
    difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(c,b,c))) )],[refute_0_13141,refute_0_13147]) ).

cnf(refute_0_13149,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_13150,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_13151,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_13149,refute_0_13150]) ).

cnf(refute_0_13152,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_1946,refute_0_13151]) ).

cnf(refute_0_13153,plain,
    difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)))]]) ).

cnf(refute_0_13154,plain,
    ( difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c))
    | product(bigC(c,a,c),bigC(a,a,c)) != product(bigC(a,a,b),bigC(a,a,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c))) ),[1,0],$fot(product(bigC(a,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_13155,plain,
    ( product(bigC(c,a,c),bigC(a,a,c)) != product(bigC(a,a,b),bigC(a,a,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c))) )],[refute_0_13153,refute_0_13154]) ).

cnf(refute_0_13156,plain,
    difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) = difference(product(bigC(a,a,b),bigC(a,a,c)),product(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_13152,refute_0_13155]) ).

cnf(refute_0_13157,plain,
    ( difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c))
    | difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) ),[0],$fot(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)))]]) ).

cnf(refute_0_13158,plain,
    ( difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c))) )],[refute_0_13156,refute_0_13157]) ).

cnf(refute_0_13159,plain,
    difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) )],[refute_0_13148,refute_0_13158]) ).

cnf(refute_0_13160,plain,
    difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)))]]) ).

cnf(refute_0_13161,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) != difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c))
    | product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = difference(bigC(a,c,product(c,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c))) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_13162,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = difference(bigC(a,c,product(c,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c))) )],[refute_0_13160,refute_0_13161]) ).

cnf(refute_0_13163,plain,
    difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) = difference(bigC(a,c,product(c,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,c)),bigC(a,c,product(c,a))) )],[refute_0_4014,refute_0_13162]) ).

cnf(refute_0_13164,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) != difference(bigC(a,c,product(c,a)),product(a,c))
    | difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(bigC(a,c,product(c,a)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) ),[0],$fot(difference(bigC(a,c,product(c,a)),product(a,c)))]]) ).

cnf(refute_0_13165,plain,
    ( difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(bigC(a,c,product(c,a)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),difference(bigC(a,c,product(c,a)),product(a,c))) )],[refute_0_13163,refute_0_13164]) ).

cnf(refute_0_13166,plain,
    difference(bigC(a,c,product(c,a)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),bigC(a,a,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) )],[refute_0_13159,refute_0_13165]) ).

cnf(refute_0_13167,plain,
    difference(bigC(a,c,product(c,a)),product(a,c)) = difference(bigC(a,c,product(c,a)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,c,product(c,a)),product(a,c)))]]) ).

cnf(refute_0_13168,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | difference(bigC(a,c,product(c,a)),product(a,c)) != difference(bigC(a,c,product(c,a)),product(a,c))
    | difference(bigC(a,c,product(c,a)),product(a,c)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,c,product(c,a)),product(a,c)),difference(bigC(a,c,product(c,a)),product(a,c))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_13169,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | difference(bigC(a,c,product(c,a)),product(a,c)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,product(c,a)),product(a,c)),difference(bigC(a,c,product(c,a)),product(a,c))) )],[refute_0_13167,refute_0_13168]) ).

cnf(refute_0_13170,plain,
    difference(bigC(a,c,product(c,a)),product(a,c)) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_2436,refute_0_13169]) ).

cnf(refute_0_13171,plain,
    ( difference(bigC(a,c,product(c,a)),product(a,c)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | difference(bigC(a,c,product(c,a)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(bigC(a,a,product(b,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,c,product(c,a)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) ),[0],$fot(difference(bigC(a,a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_13172,plain,
    ( difference(bigC(a,c,product(c,a)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(bigC(a,a,product(b,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,product(c,a)),product(a,c)),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13170,refute_0_13171]) ).

cnf(refute_0_13173,plain,
    difference(bigC(a,a,product(b,c)),product(a,c)) = product(product(a,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,product(c,a)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) )],[refute_0_13166,refute_0_13172]) ).

cnf(refute_0_13174,plain,
    product(product(a,product(a,c)),bigC(b,a,b)) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_5034:[bind(X_97,$fot(product(a,c)))]]) ).

cnf(refute_0_13175,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | product(product(a,product(a,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(product(a,c),b))
    | difference(bigC(a,a,product(b,c)),product(a,c)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(bigC(a,a,b),product(product(a,c),b))) ),[0],$fot(product(product(a,product(a,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_13176,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(product(a,product(a,c)),bigC(b,a,b))
    | difference(bigC(a,a,product(b,c)),product(a,c)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(b,a,b)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_13174,refute_0_13175]) ).

cnf(refute_0_13177,plain,
    difference(bigC(a,a,product(b,c)),product(a,c)) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(product(a,product(a,c)),bigC(b,a,b))) )],[refute_0_13173,refute_0_13176]) ).

cnf(refute_0_13178,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(a,c),b)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(a,a,product(b,c)),product(a,c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_13179,plain,
    product(bigC(a,a,b),product(product(a,c),b)) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_13177,refute_0_13178]) ).

cnf(refute_0_13180,plain,
    ( product(bigC(a,a,b),product(product(a,c),b)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(product(a,product(a,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(product(a,product(a,c)),bigC(b,a,b)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,c)),bigC(b,a,b)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),b)))),bind(Z,$fot(difference(bigC(a,a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_13181,plain,
    ( product(bigC(a,a,b),product(product(a,c),b)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(product(a,product(a,c)),bigC(b,a,b)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(b,a,b)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_13174,refute_0_13180]) ).

cnf(refute_0_13182,plain,
    product(product(a,product(a,c)),bigC(b,a,b)) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),b)),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13179,refute_0_13181]) ).

cnf(refute_0_13183,plain,
    product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(a,product(a,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_13184,plain,
    ( product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | product(product(a,product(a,c)),bigC(b,a,b)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) ),[1,1],$fot(difference(bigC(a,a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_13185,plain,
    ( product(product(a,product(a,c)),bigC(b,a,b)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) )],[refute_0_13183,refute_0_13184]) ).

cnf(refute_0_13186,plain,
    product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(b,a,b)),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13182,refute_0_13185]) ).

cnf(refute_0_13187,plain,
    bigC(c,product(a,product(a,c)),product(c,product(c,b))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))),
    inference(subst,[],[refute_0_3248:[bind(X_18,$fot(product(a,product(a,c))))]]) ).

cnf(refute_0_13188,plain,
    ( bigC(c,product(a,product(a,c)),product(c,product(c,b))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(c,product(a,product(a,c)),product(c,product(c,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,product(a,c)),product(c,product(c,b))))),bind(Y,$fot(product(c,product(product(a,product(a,c)),bigC(b,a,b))))),bind(Z,$fot(product(c,difference(bigC(a,a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_13189,plain,
    ( product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(c,product(a,product(a,c)),product(c,product(c,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(a,c)),product(c,product(c,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) )],[refute_0_13187,refute_0_13188]) ).

cnf(refute_0_13190,plain,
    bigC(c,product(a,product(a,c)),product(c,product(c,b))) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) )],[refute_0_13186,refute_0_13189]) ).

cnf(refute_0_13191,plain,
    bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_13192,plain,
    ( bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) != bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))
    | quotient(product(c,bigC(a,a,c)),a) != product(c,product(c,b))
    | bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13193,plain,
    ( quotient(product(c,bigC(a,a,c)),a) != product(c,product(c,b))
    | bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13191,refute_0_13192]) ).

cnf(refute_0_13194,plain,
    bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),a),product(c,product(c,b))) )],[refute_0_13109,refute_0_13193]) ).

cnf(refute_0_13195,plain,
    ( bigC(c,product(a,product(a,c)),product(c,product(c,b))) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) != bigC(c,product(a,product(a,c)),product(c,product(c,b)))
    | bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)))),bind(Y,$fot(bigC(c,product(a,product(a,c)),product(c,product(c,b))))),bind(Z,$fot(product(c,difference(bigC(a,a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_13196,plain,
    ( bigC(c,product(a,product(a,c)),product(c,product(c,b))) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),bigC(c,product(a,product(a,c)),product(c,product(c,b)))) )],[refute_0_13194,refute_0_13195]) ).

cnf(refute_0_13197,plain,
    bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(a,c)),product(c,product(c,b))),product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) )],[refute_0_13190,refute_0_13196]) ).

cnf(refute_0_13198,plain,
    bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))) = bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(a,product(a,c)))),bind(C,$fot(quotient(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_13199,plain,
    bigC(product(c,product(c,b)),a,C) = product(product(product(c,product(c,b)),a),product(C,product(c,product(c,b)))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(a))]]) ).

cnf(refute_0_13200,plain,
    ( bigC(product(c,product(c,b)),a,C) != product(product(product(c,product(c,b)),a),product(C,product(c,product(c,b))))
    | product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | bigC(product(c,product(c,b)),a,C) = product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),a,C),product(product(product(c,product(c,b)),a),product(C,product(c,product(c,b))))) ),[1,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_13201,plain,
    ( bigC(product(c,product(c,b)),a,C) != product(product(product(c,product(c,b)),a),product(C,product(c,product(c,b))))
    | bigC(product(c,product(c,b)),a,C) = product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_13200]) ).

cnf(refute_0_13202,plain,
    bigC(product(c,product(c,b)),a,C) = product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,C),product(product(product(c,product(c,b)),a),product(C,product(c,product(c,b))))) )],[refute_0_13199,refute_0_13201]) ).

cnf(refute_0_13203,plain,
    bigC(c,B,product(a,product(a,c))) = product(product(c,B),product(product(a,product(a,c)),c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(C,$fot(product(a,product(a,c))))]]) ).

cnf(refute_0_13204,plain,
    bigC(product(a,c),product(a,c),product(product(a,c),product(c,b))) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(c,b))),bind(X_35,$fot(product(a,c)))]]) ).

cnf(refute_0_13205,plain,
    ( bigC(product(a,c),product(a,c),product(product(a,c),product(c,b))) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(product(a,c),product(c,b))),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) ),[0,2],$fot(product(a,b))]]) ).

cnf(refute_0_13206,plain,
    ( bigC(product(a,c),product(a,c),product(product(a,c),product(c,b))) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_13205]) ).

cnf(refute_0_13207,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(product(a,c),product(c,b))),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) )],[refute_0_13204,refute_0_13206]) ).

cnf(refute_0_13208,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,product(a,c)),c),
    inference(subst,[],[refute_0_6813:[bind(X_66,$fot(product(a,c)))]]) ).

cnf(refute_0_13209,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,product(a,c)),c)
    | product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) ),[0],$fot(product(product(a,product(a,c)),c))]]) ).

cnf(refute_0_13210,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(a,product(a,c)),c)) )],[refute_0_13208,refute_0_13209]) ).

cnf(refute_0_13211,plain,
    product(product(product(c,b),X_18),product(a,b)) = product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(product(c,b),X_18))),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_13212,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,b),X_18),product(a,b))
    | product(product(product(c,b),X_18),product(a,b)) = bigC(product(c,b),X_18,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),X_18,product(a,c)))),bind(Y,$fot(product(product(product(c,b),X_18),product(a,b))))]]) ).

cnf(refute_0_13213,plain,
    product(product(product(c,b),X_18),product(a,b)) = bigC(product(c,b),X_18,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,b),X_18),product(a,b))) )],[refute_0_106,refute_0_13212]) ).

cnf(refute_0_13214,plain,
    ( product(product(product(c,b),X_18),product(a,b)) != bigC(product(c,b),X_18,product(a,c))
    | product(product(product(c,b),X_18),product(a,b)) != product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),X_18),product(a,b)),product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))) ),[0],$fot(bigC(product(c,b),X_18,product(a,c)))]]) ).

cnf(refute_0_13215,plain,
    ( product(product(product(c,b),X_18),product(a,b)) != product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_18),product(a,b)),bigC(product(c,b),X_18,product(a,c))) )],[refute_0_13213,refute_0_13214]) ).

cnf(refute_0_13216,plain,
    bigC(product(c,b),X_18,product(a,c)) = product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_18),product(a,b)),product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))) )],[refute_0_13211,refute_0_13215]) ).

cnf(refute_0_13217,plain,
    product(product(product(c,X_18),a),product(product(b,X_18),b)) = product(product(product(c,X_18),a),product(product(b,X_18),b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,X_18),a),product(product(b,X_18),b)))]]) ).

cnf(refute_0_13218,plain,
    ( product(product(b,X_18),b) != bigC(b,X_18,b)
    | product(product(product(c,X_18),a),product(product(b,X_18),b)) != product(product(product(c,X_18),a),product(product(b,X_18),b))
    | product(product(product(c,X_18),a),product(product(b,X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,X_18),a),product(product(b,X_18),b)),product(product(product(c,X_18),a),product(product(b,X_18),b))) ),[1,1],$fot(bigC(b,X_18,b))]]) ).

cnf(refute_0_13219,plain,
    ( product(product(b,X_18),b) != bigC(b,X_18,b)
    | product(product(product(c,X_18),a),product(product(b,X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,X_18),a),product(product(b,X_18),b)),product(product(product(c,X_18),a),product(product(b,X_18),b))) )],[refute_0_13217,refute_0_13218]) ).

cnf(refute_0_13220,plain,
    product(product(product(c,X_18),a),product(product(b,X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),b),bigC(b,X_18,b)) )],[refute_0_9018,refute_0_13219]) ).

cnf(refute_0_13221,plain,
    product(product(product(c,b),product(X_18,X_18)),product(a,b)) = product(product(product(c,X_18),a),product(product(b,X_18),b)),
    inference(subst,[],[refute_0_813:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_23,$fot(c)),bind(X_24,$fot(X_18)),bind(X_25,$fot(b)),bind(X_26,$fot(X_18))]]) ).

cnf(refute_0_13222,plain,
    product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,b),product(X_18,X_18)),product(a,b)),
    inference(subst,[],[refute_0_1400:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_65,$fot(product(c,b))),bind(X_66,$fot(X_18)),bind(X_67,$fot(X_18))]]) ).

cnf(refute_0_13223,plain,
    ( product(product(product(c,b),product(X_18,X_18)),product(a,b)) != product(product(product(c,X_18),a),product(product(b,X_18),b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) != product(product(product(c,b),product(X_18,X_18)),product(a,b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),product(product(b,X_18),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)))),bind(Y,$fot(product(product(product(c,b),product(X_18,X_18)),product(a,b)))),bind(Z,$fot(product(product(product(c,X_18),a),product(product(b,X_18),b))))]]) ).

cnf(refute_0_13224,plain,
    ( product(product(product(c,b),product(X_18,X_18)),product(a,b)) != product(product(product(c,X_18),a),product(product(b,X_18),b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),product(product(b,X_18),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)),product(product(product(c,b),product(X_18,X_18)),product(a,b))) )],[refute_0_13222,refute_0_13223]) ).

cnf(refute_0_13225,plain,
    product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),product(product(b,X_18),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(X_18,X_18)),product(a,b)),product(product(product(c,X_18),a),product(product(b,X_18),b))) )],[refute_0_13221,refute_0_13224]) ).

cnf(refute_0_13226,plain,
    ( product(product(product(c,X_18),a),product(product(b,X_18),b)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) != product(product(product(c,X_18),a),product(product(b,X_18),b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)))),bind(Y,$fot(product(product(product(c,X_18),a),product(product(b,X_18),b)))),bind(Z,$fot(product(product(product(c,X_18),a),bigC(b,X_18,b))))]]) ).

cnf(refute_0_13227,plain,
    ( product(product(product(c,X_18),a),product(product(b,X_18),b)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)),product(product(product(c,X_18),a),product(product(b,X_18),b))) )],[refute_0_13225,refute_0_13226]) ).

cnf(refute_0_13228,plain,
    product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) = product(product(product(c,X_18),a),bigC(b,X_18,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,X_18),a),product(product(b,X_18),b)),product(product(product(c,X_18),a),bigC(b,X_18,b))) )],[refute_0_13220,refute_0_13227]) ).

cnf(refute_0_13229,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))
    | product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,X_18),a),bigC(b,X_18,b))) ),[0],$fot(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)))]]) ).

cnf(refute_0_13230,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))
    | bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b)),product(product(product(c,X_18),a),bigC(b,X_18,b))) )],[refute_0_13228,refute_0_13229]) ).

cnf(refute_0_13231,plain,
    bigC(product(c,b),X_18,product(a,c)) = product(product(product(c,X_18),a),bigC(b,X_18,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(product(c,b),X_18),a),product(product(product(c,b),X_18),b))) )],[refute_0_13216,refute_0_13230]) ).

cnf(refute_0_13232,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != bigC(product(a,b),X_18,c)
    | bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | bigC(product(a,b),X_18,c) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,X_18),a),bigC(b,X_18,b))) ),[0],$fot(bigC(product(a,b),X_18,c))]]) ).

cnf(refute_0_13233,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | bigC(product(a,b),X_18,c) = product(product(product(c,X_18),a),bigC(b,X_18,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),bigC(product(a,b),X_18,c)) )],[refute_0_4640,refute_0_13232]) ).

cnf(refute_0_13234,plain,
    bigC(product(a,b),c,product(X_18,X_18)) = bigC(product(a,b),c,product(X_18,X_18)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),c,product(X_18,X_18)))]]) ).

cnf(refute_0_13235,plain,
    ( bigC(product(a,b),c,product(X_18,X_18)) != bigC(product(a,b),c,product(X_18,X_18))
    | product(X_18,X_18) != X_18
    | bigC(product(a,b),c,product(X_18,X_18)) = bigC(product(a,b),c,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),c,product(X_18,X_18)),bigC(product(a,b),c,product(X_18,X_18))) ),[1,2],$fot(X_18)]]) ).

cnf(refute_0_13236,plain,
    ( product(X_18,X_18) != X_18
    | bigC(product(a,b),c,product(X_18,X_18)) = bigC(product(a,b),c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(X_18,X_18)),bigC(product(a,b),c,product(X_18,X_18))) )],[refute_0_13234,refute_0_13235]) ).

cnf(refute_0_13237,plain,
    bigC(product(a,b),c,product(X_18,X_18)) = bigC(product(a,b),c,X_18),
    inference(resolve,[$cnf( $equal(product(X_18,X_18),X_18) )],[refute_0_82,refute_0_13236]) ).

cnf(refute_0_13238,plain,
    bigC(product(a,b),product(B,D),c) = bigC(product(a,b),c,product(B,D)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(a,b))),bind(B,$fot(c)),bind(C,$fot(product(B,D)))]]) ).

cnf(refute_0_13239,plain,
    bigC(product(c,b),product(B,D),product(a,c)) = bigC(product(a,b),product(B,D),c),
    inference(subst,[],[refute_0_4639:[bind(B,$fot(product(B,D)))]]) ).

cnf(refute_0_13240,plain,
    ( bigC(product(a,b),product(B,D),c) != bigC(product(a,b),c,product(B,D))
    | bigC(product(c,b),product(B,D),product(a,c)) != bigC(product(a,b),product(B,D),c)
    | bigC(product(c,b),product(B,D),product(a,c)) = bigC(product(a,b),c,product(B,D)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(B,D),product(a,c)))),bind(Y,$fot(bigC(product(a,b),product(B,D),c))),bind(Z,$fot(bigC(product(a,b),c,product(B,D))))]]) ).

cnf(refute_0_13241,plain,
    ( bigC(product(a,b),product(B,D),c) != bigC(product(a,b),c,product(B,D))
    | bigC(product(c,b),product(B,D),product(a,c)) = bigC(product(a,b),c,product(B,D)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),bigC(product(a,b),product(B,D),c)) )],[refute_0_13239,refute_0_13240]) ).

cnf(refute_0_13242,plain,
    bigC(product(c,b),product(B,D),product(a,c)) = bigC(product(a,b),c,product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(B,D),c),bigC(product(a,b),c,product(B,D))) )],[refute_0_13238,refute_0_13241]) ).

cnf(refute_0_13243,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != bigC(product(a,b),c,product(B,D))
    | bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,B),a),bigC(b,D,b))
    | bigC(product(a,b),c,product(B,D)) = product(product(product(c,B),a),bigC(b,D,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,B),a),bigC(b,D,b))) ),[0],$fot(bigC(product(a,b),c,product(B,D)))]]) ).

cnf(refute_0_13244,plain,
    ( bigC(product(c,b),product(B,D),product(a,c)) != product(product(product(c,B),a),bigC(b,D,b))
    | bigC(product(a,b),c,product(B,D)) = product(product(product(c,B),a),bigC(b,D,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),bigC(product(a,b),c,product(B,D))) )],[refute_0_13242,refute_0_13243]) ).

cnf(refute_0_13245,plain,
    bigC(product(a,b),c,product(B,D)) = product(product(product(c,B),a),bigC(b,D,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(B,D),product(a,c)),product(product(product(c,B),a),bigC(b,D,b))) )],[refute_0_1109,refute_0_13244]) ).

cnf(refute_0_13246,plain,
    ( bigC(product(a,b),c,product(B,D)) != product(product(product(c,B),a),bigC(b,D,b))
    | product(product(product(c,B),a),bigC(b,D,b)) = bigC(product(a,b),c,product(B,D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),c,product(B,D)))),bind(Y,$fot(product(product(product(c,B),a),bigC(b,D,b))))]]) ).

cnf(refute_0_13247,plain,
    product(product(product(c,B),a),bigC(b,D,b)) = bigC(product(a,b),c,product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(B,D)),product(product(product(c,B),a),bigC(b,D,b))) )],[refute_0_13245,refute_0_13246]) ).

cnf(refute_0_13248,plain,
    product(product(product(c,X_18),a),bigC(b,X_18,b)) = bigC(product(a,b),c,product(X_18,X_18)),
    inference(subst,[],[refute_0_13247:[bind(B,$fot(X_18)),bind(D,$fot(X_18))]]) ).

cnf(refute_0_13249,plain,
    ( bigC(product(a,b),c,product(X_18,X_18)) != bigC(product(a,b),c,X_18)
    | product(product(product(c,X_18),a),bigC(b,X_18,b)) != bigC(product(a,b),c,product(X_18,X_18))
    | product(product(product(c,X_18),a),bigC(b,X_18,b)) = bigC(product(a,b),c,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,X_18),a),bigC(b,X_18,b)))),bind(Y,$fot(bigC(product(a,b),c,product(X_18,X_18)))),bind(Z,$fot(bigC(product(a,b),c,X_18)))]]) ).

cnf(refute_0_13250,plain,
    ( bigC(product(a,b),c,product(X_18,X_18)) != bigC(product(a,b),c,X_18)
    | product(product(product(c,X_18),a),bigC(b,X_18,b)) = bigC(product(a,b),c,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,X_18),a),bigC(b,X_18,b)),bigC(product(a,b),c,product(X_18,X_18))) )],[refute_0_13248,refute_0_13249]) ).

cnf(refute_0_13251,plain,
    product(product(product(c,X_18),a),bigC(b,X_18,b)) = bigC(product(a,b),c,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(X_18,X_18)),bigC(product(a,b),c,X_18)) )],[refute_0_13237,refute_0_13250]) ).

cnf(refute_0_13252,plain,
    ( bigC(product(a,b),X_18,c) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | product(product(product(c,X_18),a),bigC(b,X_18,b)) != bigC(product(a,b),c,X_18)
    | bigC(product(a,b),X_18,c) = bigC(product(a,b),c,X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_18,c),bigC(product(a,b),c,X_18)) ),[0],$fot(product(product(product(c,X_18),a),bigC(b,X_18,b)))]]) ).

cnf(refute_0_13253,plain,
    ( bigC(product(a,b),X_18,c) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | bigC(product(a,b),X_18,c) = bigC(product(a,b),c,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,X_18),a),bigC(b,X_18,b)),bigC(product(a,b),c,X_18)) )],[refute_0_13251,refute_0_13252]) ).

cnf(refute_0_13254,plain,
    ( bigC(product(c,b),X_18,product(a,c)) != product(product(product(c,X_18),a),bigC(b,X_18,b))
    | bigC(product(a,b),X_18,c) = bigC(product(a,b),c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_18,c),product(product(product(c,X_18),a),bigC(b,X_18,b))) )],[refute_0_13233,refute_0_13253]) ).

cnf(refute_0_13255,plain,
    bigC(product(a,b),X_18,c) = bigC(product(a,b),c,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_18,product(a,c)),product(product(product(c,X_18),a),bigC(b,X_18,b))) )],[refute_0_13231,refute_0_13254]) ).

cnf(refute_0_13256,plain,
    bigC(product(a,b),product(a,c),c) = bigC(product(a,b),c,product(a,c)),
    inference(subst,[],[refute_0_13255:[bind(X_18,$fot(product(a,c)))]]) ).

cnf(refute_0_13257,plain,
    product(product(product(a,c),C),c) = bigC(product(a,b),C,c),
    inference(subst,[],[refute_0_5194:[bind(B,$fot(C))]]) ).

cnf(refute_0_13258,plain,
    ( product(product(product(a,c),C),c) != bigC(product(a,b),C,c)
    | product(product(product(a,c),C),c) != bigC(product(a,c),product(c,b),C)
    | bigC(product(a,b),C,c) = bigC(product(a,c),product(c,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),C),c),bigC(product(a,c),product(c,b),C)) ),[0],$fot(bigC(product(a,b),C,c))]]) ).

cnf(refute_0_13259,plain,
    ( product(product(product(a,c),C),c) != bigC(product(a,c),product(c,b),C)
    | bigC(product(a,b),C,c) = bigC(product(a,c),product(c,b),C) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),c),bigC(product(a,b),C,c)) )],[refute_0_13257,refute_0_13258]) ).

cnf(refute_0_13260,plain,
    bigC(product(a,b),C,c) = bigC(product(a,c),product(c,b),C),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),c),bigC(product(a,c),product(c,b),C)) )],[refute_0_5157,refute_0_13259]) ).

cnf(refute_0_13261,plain,
    ( bigC(product(a,b),C,c) != bigC(product(a,c),product(c,b),C)
    | bigC(product(a,c),product(c,b),C) = bigC(product(a,b),C,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),C,c))),bind(Y,$fot(bigC(product(a,c),product(c,b),C)))]]) ).

cnf(refute_0_13262,plain,
    bigC(product(a,c),product(c,b),C) = bigC(product(a,b),C,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),C,c),bigC(product(a,c),product(c,b),C)) )],[refute_0_13260,refute_0_13261]) ).

cnf(refute_0_13263,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = bigC(product(a,b),product(a,c),c),
    inference(subst,[],[refute_0_13262:[bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_13264,plain,
    ( bigC(product(a,b),product(a,c),c) != bigC(product(a,b),c,product(a,c))
    | bigC(product(a,c),product(c,b),product(a,c)) != bigC(product(a,b),product(a,c),c)
    | bigC(product(a,c),product(c,b),product(a,c)) = bigC(product(a,b),c,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,c),product(c,b),product(a,c)))),bind(Y,$fot(bigC(product(a,b),product(a,c),c))),bind(Z,$fot(bigC(product(a,b),c,product(a,c))))]]) ).

cnf(refute_0_13265,plain,
    ( bigC(product(a,b),product(a,c),c) != bigC(product(a,b),c,product(a,c))
    | bigC(product(a,c),product(c,b),product(a,c)) = bigC(product(a,b),c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),bigC(product(a,b),product(a,c),c)) )],[refute_0_13263,refute_0_13264]) ).

cnf(refute_0_13266,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = bigC(product(a,b),c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),c),bigC(product(a,b),c,product(a,c))) )],[refute_0_13256,refute_0_13265]) ).

cnf(refute_0_13267,plain,
    product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) = product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))))]]) ).

cnf(refute_0_13268,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != bigC(product(a,b),c,product(a,c))
    | product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) = product(product(a,c),bigC(product(a,b),c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) ),[1,1],$fot(bigC(product(a,b),c,product(a,c)))]]) ).

cnf(refute_0_13269,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != bigC(product(a,b),c,product(a,c))
    | product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) = product(product(a,c),bigC(product(a,b),c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) )],[refute_0_13267,refute_0_13268]) ).

cnf(refute_0_13270,plain,
    product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) = product(product(a,c),bigC(product(a,b),c,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),bigC(product(a,b),c,product(a,c))) )],[refute_0_13266,refute_0_13269]) ).

cnf(refute_0_13271,plain,
    ( product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))) != product(product(a,c),bigC(product(a,b),c,product(a,c)))
    | product(product(a,product(a,c)),c) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,b),c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,c)),c),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) ),[1],$fot(product(product(a,c),bigC(product(a,b),c,product(a,c))))]]) ).

cnf(refute_0_13272,plain,
    ( product(product(a,product(a,c)),c) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,b),c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,c),product(c,b),product(a,c))),product(product(a,c),bigC(product(a,b),c,product(a,c)))) )],[refute_0_13270,refute_0_13271]) ).

cnf(refute_0_13273,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))
    | product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,b),c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),c),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) )],[refute_0_13210,refute_0_13272]) ).

cnf(refute_0_13274,plain,
    product(product(a,product(a,c)),c) = product(product(a,c),bigC(product(a,b),c,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(a,c),bigC(product(a,c),product(c,b),product(a,c)))) )],[refute_0_13207,refute_0_13273]) ).

cnf(refute_0_13275,plain,
    ( product(a,product(c,product(b,c))) != product(a,product(c,product(b,c)))
    | product(c,product(b,c)) != bigC(b,a,b)
    | product(a,product(c,product(b,c))) = product(a,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_13276,plain,
    ( product(c,product(b,c)) != bigC(b,a,b)
    | product(a,product(c,product(b,c))) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_652,refute_0_13275]) ).

cnf(refute_0_13277,plain,
    product(a,product(c,product(b,c))) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(b,a,b)) )],[refute_0_2540,refute_0_13276]) ).

cnf(refute_0_13278,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(b,a,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(b,a,b)) ),
    inference(subst,[],[refute_0_32:[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(b,a,b))))]]) ).

cnf(refute_0_13279,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,a),product(c,product(b,c))) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_659,refute_0_13278]) ).

cnf(refute_0_13280,plain,
    product(product(a,a),product(c,product(b,c))) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,bigC(b,a,b))) )],[refute_0_13277,refute_0_13279]) ).

cnf(refute_0_13281,plain,
    product(product(a,c),product(a,product(b,c))) = product(product(a,a),product(c,product(b,c))),
    inference(subst,[],[refute_0_743:[bind(B,$fot(a)),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_13282,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(b,a,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(b,a,b)) ),
    inference(subst,[],[refute_0_32:[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(b,a,b))))]]) ).

cnf(refute_0_13283,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,c),product(a,product(b,c))) = product(a,bigC(b,a,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_13281,refute_0_13282]) ).

cnf(refute_0_13284,plain,
    product(product(a,c),product(a,product(b,c))) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,bigC(b,a,b))) )],[refute_0_13280,refute_0_13283]) ).

cnf(refute_0_13285,plain,
    difference(product(a,c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) = bigC(product(a,b),c,product(a,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,c))),bind(B,$fot(bigC(product(a,b),c,product(a,c))))]]) ).

cnf(refute_0_13286,plain,
    ( product(product(a,product(a,c)),c) != product(product(a,c),bigC(product(a,b),c,product(a,c)))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,product(a,c)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,product(a,c)),c))),bind(Y,$fot(product(product(a,c),bigC(product(a,b),c,product(a,c)))))]]) ).

cnf(refute_0_13287,plain,
    product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,product(a,c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) )],[refute_0_13274,refute_0_13286]) ).

cnf(refute_0_13288,plain,
    ( difference(product(a,c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) != bigC(product(a,b),c,product(a,c))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) != product(product(a,product(a,c)),c)
    | difference(product(a,c),product(product(a,product(a,c)),c)) = bigC(product(a,b),c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),bigC(product(a,b),c,product(a,c)))),bigC(product(a,b),c,product(a,c))) ),[0,1],$fot(product(product(a,product(a,c)),c))]]) ).

cnf(refute_0_13289,plain,
    ( difference(product(a,c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) != bigC(product(a,b),c,product(a,c))
    | difference(product(a,c),product(product(a,product(a,c)),c)) = bigC(product(a,b),c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,b),c,product(a,c))),product(product(a,product(a,c)),c)) )],[refute_0_13287,refute_0_13288]) ).

cnf(refute_0_13290,plain,
    difference(product(a,c),product(product(a,product(a,c)),c)) = bigC(product(a,b),c,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),bigC(product(a,b),c,product(a,c)))),bigC(product(a,b),c,product(a,c))) )],[refute_0_13285,refute_0_13289]) ).

cnf(refute_0_13291,plain,
    difference(product(c,difference(b,c)),bigC(c,difference(b,c),X_19)) = product(X_19,c),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(c)),bind(X_18,$fot(difference(b,c)))]]) ).

cnf(refute_0_13292,plain,
    ( difference(product(c,difference(b,c)),bigC(c,difference(b,c),X_19)) != product(X_19,c)
    | product(c,difference(b,c)) != product(a,c)
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) = product(X_19,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(b,c)),bigC(c,difference(b,c),X_19)),product(X_19,c)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_13293,plain,
    ( difference(product(c,difference(b,c)),bigC(c,difference(b,c),X_19)) != product(X_19,c)
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) = product(X_19,c) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_13292]) ).

cnf(refute_0_13294,plain,
    difference(product(a,c),bigC(c,difference(b,c),X_19)) = product(X_19,c),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),bigC(c,difference(b,c),X_19)),product(X_19,c)) )],[refute_0_13291,refute_0_13293]) ).

cnf(refute_0_13295,plain,
    bigC(c,difference(b,c),X_19) = product(product(a,X_19),c),
    inference(subst,[],[refute_0_8504:[bind(C,$fot(X_19))]]) ).

cnf(refute_0_13296,plain,
    difference(product(a,c),bigC(c,difference(b,c),X_19)) = difference(product(a,c),bigC(c,difference(b,c),X_19)),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(c,difference(b,c),X_19)))]]) ).

cnf(refute_0_13297,plain,
    ( bigC(c,difference(b,c),X_19) != product(product(a,X_19),c)
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) != difference(product(a,c),bigC(c,difference(b,c),X_19))
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) = difference(product(a,c),product(product(a,X_19),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(c,difference(b,c),X_19)),difference(product(a,c),bigC(c,difference(b,c),X_19))) ),[1,1],$fot(product(product(a,X_19),c))]]) ).

cnf(refute_0_13298,plain,
    ( bigC(c,difference(b,c),X_19) != product(product(a,X_19),c)
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) = difference(product(a,c),product(product(a,X_19),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,difference(b,c),X_19)),difference(product(a,c),bigC(c,difference(b,c),X_19))) )],[refute_0_13296,refute_0_13297]) ).

cnf(refute_0_13299,plain,
    difference(product(a,c),bigC(c,difference(b,c),X_19)) = difference(product(a,c),product(product(a,X_19),c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(b,c),X_19),product(product(a,X_19),c)) )],[refute_0_13295,refute_0_13298]) ).

cnf(refute_0_13300,plain,
    ( difference(product(a,c),bigC(c,difference(b,c),X_19)) != difference(product(a,c),product(product(a,X_19),c))
    | difference(product(a,c),bigC(c,difference(b,c),X_19)) != product(X_19,c)
    | difference(product(a,c),product(product(a,X_19),c)) = product(X_19,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(c,difference(b,c),X_19)),product(X_19,c)) ),[0],$fot(difference(product(a,c),product(product(a,X_19),c)))]]) ).

cnf(refute_0_13301,plain,
    ( difference(product(a,c),bigC(c,difference(b,c),X_19)) != product(X_19,c)
    | difference(product(a,c),product(product(a,X_19),c)) = product(X_19,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,difference(b,c),X_19)),difference(product(a,c),product(product(a,X_19),c))) )],[refute_0_13299,refute_0_13300]) ).

cnf(refute_0_13302,plain,
    difference(product(a,c),product(product(a,X_19),c)) = product(X_19,c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,difference(b,c),X_19)),product(X_19,c)) )],[refute_0_13294,refute_0_13301]) ).

cnf(refute_0_13303,plain,
    difference(product(a,c),product(product(a,product(a,c)),c)) = product(product(a,c),c),
    inference(subst,[],[refute_0_13302:[bind(X_19,$fot(product(a,c)))]]) ).

cnf(refute_0_13304,plain,
    ( difference(product(a,c),product(product(a,product(a,c)),c)) != product(product(a,c),c)
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(product(a,c),product(product(a,product(a,c)),c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(a,c),product(product(a,product(a,c)),c)))),bind(Y,$fot(product(product(a,c),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13305,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | difference(product(a,c),product(product(a,product(a,c)),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,product(a,c)),c)),product(product(a,c),c)) )],[refute_0_13303,refute_0_13304]) ).

cnf(refute_0_13306,plain,
    difference(product(a,c),product(product(a,product(a,c)),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_5589,refute_0_13305]) ).

cnf(refute_0_13307,plain,
    ( difference(product(a,c),product(product(a,product(a,c)),c)) != bigC(product(a,b),c,product(a,c))
    | difference(product(a,c),product(product(a,product(a,c)),c)) != product(a,product(b,c))
    | product(a,product(b,c)) = bigC(product(a,b),c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,product(a,c)),c)),bigC(product(a,b),c,product(a,c))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13308,plain,
    ( difference(product(a,c),product(product(a,product(a,c)),c)) != bigC(product(a,b),c,product(a,c))
    | product(a,product(b,c)) = bigC(product(a,b),c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,product(a,c)),c)),product(a,product(b,c))) )],[refute_0_13306,refute_0_13307]) ).

cnf(refute_0_13309,plain,
    product(a,product(b,c)) = bigC(product(a,b),c,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,product(a,c)),c)),bigC(product(a,b),c,product(a,c))) )],[refute_0_13290,refute_0_13308]) ).

cnf(refute_0_13310,plain,
    ( product(a,product(b,c)) != bigC(product(a,b),c,product(a,c))
    | bigC(product(a,b),c,product(a,c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(bigC(product(a,b),c,product(a,c))))]]) ).

cnf(refute_0_13311,plain,
    bigC(product(a,b),c,product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),bigC(product(a,b),c,product(a,c))) )],[refute_0_13309,refute_0_13310]) ).

cnf(refute_0_13312,plain,
    product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,c),bigC(product(a,b),c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,c),bigC(product(a,b),c,product(a,c))))]]) ).

cnf(refute_0_13313,plain,
    ( bigC(product(a,b),c,product(a,c)) != product(a,product(b,c))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) != product(product(a,c),bigC(product(a,b),c,product(a,c)))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),bigC(product(a,b),c,product(a,c))),product(product(a,c),bigC(product(a,b),c,product(a,c)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13314,plain,
    ( bigC(product(a,b),c,product(a,c)) != product(a,product(b,c))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,b),c,product(a,c))),product(product(a,c),bigC(product(a,b),c,product(a,c)))) )],[refute_0_13312,refute_0_13313]) ).

cnf(refute_0_13315,plain,
    product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(a,c)),product(a,product(b,c))) )],[refute_0_13311,refute_0_13314]) ).

cnf(refute_0_13316,plain,
    ( product(product(a,c),bigC(product(a,b),c,product(a,c))) != product(product(a,c),product(a,product(b,c)))
    | product(product(a,c),product(a,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(a,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),bigC(product(a,b),c,product(a,c))))),bind(Y,$fot(product(product(a,c),product(a,product(b,c))))),bind(Z,$fot(product(a,bigC(b,a,b))))]]) ).

cnf(refute_0_13317,plain,
    ( product(product(a,c),product(a,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,b),c,product(a,c))),product(product(a,c),product(a,product(b,c)))) )],[refute_0_13315,refute_0_13316]) ).

cnf(refute_0_13318,plain,
    product(product(a,c),bigC(product(a,b),c,product(a,c))) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(b,c))),product(a,bigC(b,a,b))) )],[refute_0_13284,refute_0_13317]) ).

cnf(refute_0_13319,plain,
    ( product(product(a,c),bigC(product(a,b),c,product(a,c))) != product(a,bigC(b,a,b))
    | product(product(a,product(a,c)),c) != product(product(a,c),bigC(product(a,b),c,product(a,c)))
    | product(product(a,product(a,c)),c) = product(a,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,c)),c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) ),[1],$fot(product(a,bigC(b,a,b)))]]) ).

cnf(refute_0_13320,plain,
    ( product(product(a,product(a,c)),c) != product(product(a,c),bigC(product(a,b),c,product(a,c)))
    | product(product(a,product(a,c)),c) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(product(a,b),c,product(a,c))),product(a,bigC(b,a,b))) )],[refute_0_13318,refute_0_13319]) ).

cnf(refute_0_13321,plain,
    product(product(a,product(a,c)),c) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),c),product(product(a,c),bigC(product(a,b),c,product(a,c)))) )],[refute_0_13274,refute_0_13320]) ).

cnf(refute_0_13322,plain,
    ( bigC(c,B,product(a,product(a,c))) != product(product(c,B),product(product(a,product(a,c)),c))
    | product(product(a,product(a,c)),c) != product(a,bigC(b,a,b))
    | bigC(c,B,product(a,product(a,c))) = product(product(c,B),product(a,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(a,product(a,c))),product(product(c,B),product(product(a,product(a,c)),c))) ),[1,1],$fot(product(a,bigC(b,a,b)))]]) ).

cnf(refute_0_13323,plain,
    ( bigC(c,B,product(a,product(a,c))) != product(product(c,B),product(product(a,product(a,c)),c))
    | bigC(c,B,product(a,product(a,c))) = product(product(c,B),product(a,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),c),product(a,bigC(b,a,b))) )],[refute_0_13321,refute_0_13322]) ).

cnf(refute_0_13324,plain,
    bigC(c,B,product(a,product(a,c))) = product(product(c,B),product(a,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,product(a,c))),product(product(c,B),product(product(a,product(a,c)),c))) )],[refute_0_13203,refute_0_13323]) ).

cnf(refute_0_13325,plain,
    ( bigC(c,B,product(a,product(a,c))) != product(product(c,B),product(a,bigC(b,a,b)))
    | product(product(c,B),product(a,bigC(b,a,b))) = bigC(c,B,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,B,product(a,product(a,c))))),bind(Y,$fot(product(product(c,B),product(a,bigC(b,a,b)))))]]) ).

cnf(refute_0_13326,plain,
    product(product(c,B),product(a,bigC(b,a,b))) = bigC(c,B,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,product(a,c))),product(product(c,B),product(a,bigC(b,a,b)))) )],[refute_0_13324,refute_0_13325]) ).

cnf(refute_0_13327,plain,
    product(product(c,C),product(a,bigC(b,a,b))) = bigC(c,C,product(a,product(a,c))),
    inference(subst,[],[refute_0_13326:[bind(B,$fot(C))]]) ).

cnf(refute_0_13328,plain,
    product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,C),product(bigC(a,a,c),product(product(c,a),b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_13329,plain,
    product(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13330,plain,
    difference(product(product(a,product(c,b)),bigC(c,a,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = product(a,product(c,b)),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(a,product(c,b)))),bind(X_41,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_13331,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(a,product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(product(a,product(c,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_13332,plain,
    product(product(a,product(c,b)),bigC(c,a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_8446,refute_0_13331]) ).

cnf(refute_0_13333,plain,
    ( difference(product(product(a,product(c,b)),bigC(c,a,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != product(a,product(c,b))
    | product(product(a,product(c,b)),bigC(c,a,c)) != product(a,product(b,c))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(c,b)),bigC(c,a,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),product(a,product(c,b))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13334,plain,
    ( difference(product(product(a,product(c,b)),bigC(c,a,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != product(a,product(c,b))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),product(a,product(b,c))) )],[refute_0_13332,refute_0_13333]) ).

cnf(refute_0_13335,plain,
    difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(c,b)),bigC(c,a,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),product(a,product(c,b))) )],[refute_0_13330,refute_0_13334]) ).

cnf(refute_0_13336,plain,
    product(product(a,product(c,a)),product(product(c,a),b)) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(a)),bind(B,$fot(product(c,a))),bind(D,$fot(b)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_13337,plain,
    product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) = product(product(a,product(c,a)),product(product(c,a),b)),
    inference(subst,[],[refute_0_968:[bind(A,$fot(a)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_13338,plain,
    ( product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) != product(product(a,product(c,a)),product(product(c,a),b))
    | product(product(a,product(c,a)),product(product(c,a),b)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))))),bind(Y,$fot(product(product(a,product(c,a)),product(product(c,a),b)))),bind(Z,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13339,plain,
    ( product(product(a,product(c,a)),product(product(c,a),b)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))),product(product(a,product(c,a)),product(product(c,a),b))) )],[refute_0_13337,refute_0_13338]) ).

cnf(refute_0_13340,plain,
    product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,a)),product(product(c,a),b)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13336,refute_0_13339]) ).

cnf(refute_0_13341,plain,
    bigC(product(c,b),product(c,b),a) = product(product(c,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_13342,plain,
    product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)))]]) ).

cnf(refute_0_13343,plain,
    ( bigC(product(c,b),product(c,b),a) != product(product(c,a),bigC(b,b,c))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) != product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a))) ),[1,1],$fot(product(product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_13344,plain,
    ( bigC(product(c,b),product(c,b),a) != product(product(c,a),bigC(b,b,c))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a))) )],[refute_0_13342,refute_0_13343]) ).

cnf(refute_0_13345,plain,
    product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),a),product(product(c,a),bigC(b,b,c))) )],[refute_0_13341,refute_0_13344]) ).

cnf(refute_0_13346,plain,
    ( product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) != product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c)))
    | product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)))),bind(Y,$fot(product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))))),bind(Z,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13347,plain,
    ( product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_13345,refute_0_13346]) ).

cnf(refute_0_13348,plain,
    product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,c)),product(product(c,a),bigC(b,b,c))),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13340,refute_0_13347]) ).

cnf(refute_0_13349,plain,
    bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) = product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),
    inference(subst,[],[refute_0_551:[bind(A,$fot(a)),bind(B,$fot(bigC(c,a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_13350,plain,
    ( bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) != product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a))
    | product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) != product(bigC(a,a,c),product(product(c,a),b))
    | bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)))),bind(Y,$fot(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)))),bind(Z,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13351,plain,
    ( product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)) != product(bigC(a,a,c),product(product(c,a),b))
    | bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)),product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a))) )],[refute_0_13349,refute_0_13350]) ).

cnf(refute_0_13352,plain,
    bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,c)),bigC(product(c,b),product(c,b),a)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13348,refute_0_13351]) ).

cnf(refute_0_13353,plain,
    difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_13354,plain,
    ( bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) != product(bigC(a,a,c),product(product(c,a),b))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)))) ),[1,1],$fot(product(bigC(a,a,c),product(product(c,a),b)))]]) ).

cnf(refute_0_13355,plain,
    ( bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)) != product(bigC(a,a,c),product(product(c,a),b))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)))) )],[refute_0_13353,refute_0_13354]) ).

cnf(refute_0_13356,plain,
    difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) = difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13352,refute_0_13355]) ).

cnf(refute_0_13357,plain,
    ( difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))
    | difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != product(a,product(c,b))
    | difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),product(a,product(c,b))) ),[0],$fot(difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13358,plain,
    ( difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))) != product(a,product(c,b))
    | difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) )],[refute_0_13356,refute_0_13357]) ).

cnf(refute_0_13359,plain,
    difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(a,product(c,b)),product(a,product(c,b)),bigC(c,a,c))),product(a,product(c,b))) )],[refute_0_13335,refute_0_13358]) ).

cnf(refute_0_13360,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) != product(a,product(c,b))
    | product(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,product(b,c)),product(a,product(c,b))) = product(bigC(a,a,c),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))),product(bigC(a,a,c),product(product(c,a),b))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_13361,plain,
    ( product(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(a,product(b,c)),product(a,product(c,b))) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),product(a,product(c,b))) )],[refute_0_13359,refute_0_13360]) ).

cnf(refute_0_13362,plain,
    product(product(a,product(b,c)),product(a,product(c,b))) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13329,refute_0_13361]) ).

cnf(refute_0_13363,plain,
    product(a,product(product(b,c),product(c,b))) = product(a,product(product(b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,c),product(c,b))))]]) ).

cnf(refute_0_13364,plain,
    ( product(a,product(product(b,c),product(c,b))) != product(a,product(product(b,c),product(c,b)))
    | product(product(b,c),product(c,b)) != bigC(b,c,c)
    | product(a,product(product(b,c),product(c,b))) = product(a,bigC(b,c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),product(c,b))),product(a,product(product(b,c),product(c,b)))) ),[1,1],$fot(bigC(b,c,c))]]) ).

cnf(refute_0_13365,plain,
    ( product(product(b,c),product(c,b)) != bigC(b,c,c)
    | product(a,product(product(b,c),product(c,b))) = product(a,bigC(b,c,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(c,b))),product(a,product(product(b,c),product(c,b)))) )],[refute_0_13363,refute_0_13364]) ).

cnf(refute_0_13366,plain,
    product(a,product(product(b,c),product(c,b))) = product(a,bigC(b,c,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,b)),bigC(b,c,c)) )],[refute_0_5002,refute_0_13365]) ).

cnf(refute_0_13367,plain,
    product(product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),product(c,b))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(b,c))),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_13368,plain,
    ( product(a,product(product(b,c),product(c,b))) != product(a,bigC(b,c,c))
    | product(product(a,product(b,c)),product(a,product(c,b))) != product(a,product(product(b,c),product(c,b)))
    | product(product(a,product(b,c)),product(a,product(c,b))) = product(a,bigC(b,c,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),product(a,product(c,b))))),bind(Y,$fot(product(a,product(product(b,c),product(c,b))))),bind(Z,$fot(product(a,bigC(b,c,c))))]]) ).

cnf(refute_0_13369,plain,
    ( product(a,product(product(b,c),product(c,b))) != product(a,bigC(b,c,c))
    | product(product(a,product(b,c)),product(a,product(c,b))) = product(a,bigC(b,c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(c,b))),product(a,product(product(b,c),product(c,b)))) )],[refute_0_13367,refute_0_13368]) ).

cnf(refute_0_13370,plain,
    product(product(a,product(b,c)),product(a,product(c,b))) = product(a,bigC(b,c,c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(c,b))),product(a,bigC(b,c,c))) )],[refute_0_13366,refute_0_13369]) ).

cnf(refute_0_13371,plain,
    ( product(product(a,product(b,c)),product(a,product(c,b))) != product(a,bigC(b,c,c))
    | product(product(a,product(b,c)),product(a,product(c,b))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(a,bigC(b,c,c)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(c,b))),product(bigC(a,a,c),product(product(c,a),b))) ),[0],$fot(product(a,bigC(b,c,c)))]]) ).

cnf(refute_0_13372,plain,
    ( product(product(a,product(b,c)),product(a,product(c,b))) != product(bigC(a,a,c),product(product(c,a),b))
    | product(a,bigC(b,c,c)) = product(bigC(a,a,c),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(c,b))),product(a,bigC(b,c,c))) )],[refute_0_13370,refute_0_13371]) ).

cnf(refute_0_13373,plain,
    product(a,bigC(b,c,c)) = product(bigC(a,a,c),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(c,b))),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13362,refute_0_13372]) ).

cnf(refute_0_13374,plain,
    ( product(a,bigC(b,c,c)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(bigC(a,a,c),product(product(c,a),b)) = product(a,bigC(b,c,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,bigC(b,c,c)))),bind(Y,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13375,plain,
    product(bigC(a,a,c),product(product(c,a),b)) = product(a,bigC(b,c,c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,c)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13373,refute_0_13374]) ).

cnf(refute_0_13376,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,C),product(bigC(a,a,c),product(product(c,a),b)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,C),product(a,bigC(b,c,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,C),product(bigC(a,a,c),product(product(c,a),b)))) ),[1,1],$fot(product(a,bigC(b,c,c)))]]) ).

cnf(refute_0_13377,plain,
    ( product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,C),product(bigC(a,a,c),product(product(c,a),b)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,C),product(a,bigC(b,c,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(a,bigC(b,c,c))) )],[refute_0_13375,refute_0_13376]) ).

cnf(refute_0_13378,plain,
    product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,C),product(a,bigC(b,c,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,C),product(bigC(a,a,c),product(product(c,a),b)))) )],[refute_0_13328,refute_0_13377]) ).

cnf(refute_0_13379,plain,
    product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))))]]) ).

cnf(refute_0_13380,plain,
    ( product(C,product(product(c,a),b)) != product(C,product(c,product(c,b)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b)))) ),[1,1],$fot(product(C,product(c,product(c,b))))]]) ).

cnf(refute_0_13381,plain,
    ( product(C,product(product(c,a),b)) != product(C,product(c,product(c,b)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b)))) )],[refute_0_13379,refute_0_13380]) ).

cnf(refute_0_13382,plain,
    product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) = product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(C,product(product(c,a),b)),product(C,product(c,product(c,b)))) )],[refute_0_8114,refute_0_13381]) ).

cnf(refute_0_13383,plain,
    ( product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,C),product(a,bigC(b,c,c)))
    | product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b))))
    | product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,c,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,C),product(a,bigC(b,c,c)))) ),[0],$fot(product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))))]]) ).

cnf(refute_0_13384,plain,
    ( product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))) != product(product(A,C),product(a,bigC(b,c,c)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,c,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b))))) )],[refute_0_13382,refute_0_13383]) ).

cnf(refute_0_13385,plain,
    product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,c,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(product(c,a),b))),product(product(A,C),product(a,bigC(b,c,c)))) )],[refute_0_13378,refute_0_13384]) ).

cnf(refute_0_13386,plain,
    bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71),product(a,product(c,b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(a,product(c,b)))),bind(X_18,$fot(X_71)),bind(X_19,$fot(difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_13387,plain,
    difference(quotient(product(a,product(c,b)),product(a,c)),product(a,product(c,b))) = product(a,c),
    inference(subst,[],[refute_0_495:[bind(B,$fot(product(a,c))),bind(X_11,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_13388,plain,
    ( difference(quotient(product(a,product(c,b)),product(a,c)),product(a,product(c,b))) != product(a,c)
    | quotient(product(a,product(c,b)),product(a,c)) != difference(bigC(c,a,b),product(a,c))
    | difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,product(c,b)),product(a,c)),product(a,product(c,b))),product(a,c)) ),[0,0],$fot(difference(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_13389,plain,
    ( difference(quotient(product(a,product(c,b)),product(a,c)),product(a,product(c,b))) != product(a,c)
    | difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,c)),difference(bigC(c,a,b),product(a,c))) )],[refute_0_451,refute_0_13388]) ).

cnf(refute_0_13390,plain,
    difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,product(c,b)),product(a,c)),product(a,product(c,b))),product(a,c)) )],[refute_0_13387,refute_0_13389]) ).

cnf(refute_0_13391,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71),product(a,product(c,b)))
    | difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) != product(a,c)
    | bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_71),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71),product(a,product(c,b)))) ),[1,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_13392,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71),product(a,product(c,b)))
    | bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_71),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),product(a,c)) )],[refute_0_13390,refute_0_13391]) ).

cnf(refute_0_13393,plain,
    bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(product(product(a,c),X_71),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71),product(a,product(c,b)))) )],[refute_0_13386,refute_0_13392]) ).

cnf(refute_0_13394,plain,
    product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),
    introduced(tautology,[refl,[$fot(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a))]]) ).

cnf(refute_0_13395,plain,
    ( difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) != product(a,c)
    | product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) != product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a)
    | product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = product(product(a,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_13396,plain,
    ( difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))) != product(a,c)
    | product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = product(product(a,c),a) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a)) )],[refute_0_13394,refute_0_13395]) ).

cnf(refute_0_13397,plain,
    product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = product(product(a,c),a),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),product(a,c)) )],[refute_0_13390,refute_0_13396]) ).

cnf(refute_0_13398,plain,
    ( product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) != product(product(a,c),a)
    | product(product(a,c),a) != bigC(a,a,c)
    | product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a))),bind(Y,$fot(product(product(a,c),a))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_13399,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(product(a,c),a)) )],[refute_0_13397,refute_0_13398]) ).

cnf(refute_0_13400,plain,
    product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_6734,refute_0_13399]) ).

cnf(refute_0_13401,plain,
    product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) = product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))))]]) ).

cnf(refute_0_13402,plain,
    ( product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) != bigC(a,a,c)
    | product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) != product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b)))
    | product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) = product(bigC(a,a,c),product(X_71,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))),product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13403,plain,
    ( product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a) != bigC(a,a,c)
    | product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) = product(bigC(a,a,c),product(X_71,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))),product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b)))) )],[refute_0_13401,refute_0_13402]) ).

cnf(refute_0_13404,plain,
    product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) = product(bigC(a,a,c),product(X_71,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),bigC(a,a,c)) )],[refute_0_13400,refute_0_13403]) ).

cnf(refute_0_13405,plain,
    product(product(difference(X_72,product(B,D)),B),product(C,D)) = product(product(difference(X_72,product(B,D)),C),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(difference(X_72,product(B,D))))]]) ).

cnf(refute_0_13406,plain,
    bigC(difference(X_72,product(B,D)),C,X_72) = product(product(difference(X_72,product(B,D)),C),product(B,D)),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(B,D))),bind(X_18,$fot(C)),bind(X_19,$fot(X_72))]]) ).

cnf(refute_0_13407,plain,
    ( bigC(difference(X_72,product(B,D)),C,X_72) != product(product(difference(X_72,product(B,D)),C),product(B,D))
    | product(product(difference(X_72,product(B,D)),C),product(B,D)) = bigC(difference(X_72,product(B,D)),C,X_72) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(difference(X_72,product(B,D)),C,X_72))),bind(Y,$fot(product(product(difference(X_72,product(B,D)),C),product(B,D))))]]) ).

cnf(refute_0_13408,plain,
    product(product(difference(X_72,product(B,D)),C),product(B,D)) = bigC(difference(X_72,product(B,D)),C,X_72),
    inference(resolve,[$cnf( $equal(bigC(difference(X_72,product(B,D)),C,X_72),product(product(difference(X_72,product(B,D)),C),product(B,D))) )],[refute_0_13406,refute_0_13407]) ).

cnf(refute_0_13409,plain,
    ( product(product(difference(X_72,product(B,D)),B),product(C,D)) != product(product(difference(X_72,product(B,D)),C),product(B,D))
    | product(product(difference(X_72,product(B,D)),C),product(B,D)) != bigC(difference(X_72,product(B,D)),C,X_72)
    | product(product(difference(X_72,product(B,D)),B),product(C,D)) = bigC(difference(X_72,product(B,D)),C,X_72) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(difference(X_72,product(B,D)),B),product(C,D)),bigC(difference(X_72,product(B,D)),C,X_72)) ),[0],$fot(product(product(difference(X_72,product(B,D)),C),product(B,D)))]]) ).

cnf(refute_0_13410,plain,
    ( product(product(difference(X_72,product(B,D)),B),product(C,D)) != product(product(difference(X_72,product(B,D)),C),product(B,D))
    | product(product(difference(X_72,product(B,D)),B),product(C,D)) = bigC(difference(X_72,product(B,D)),C,X_72) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_72,product(B,D)),C),product(B,D)),bigC(difference(X_72,product(B,D)),C,X_72)) )],[refute_0_13408,refute_0_13409]) ).

cnf(refute_0_13411,plain,
    product(product(difference(X_72,product(B,D)),B),product(C,D)) = bigC(difference(X_72,product(B,D)),C,X_72),
    inference(resolve,[$cnf( $equal(product(product(difference(X_72,product(B,D)),B),product(C,D)),product(product(difference(X_72,product(B,D)),C),product(B,D))) )],[refute_0_13405,refute_0_13410]) ).

cnf(refute_0_13412,plain,
    ( product(product(difference(X_72,product(B,D)),B),product(C,D)) != bigC(difference(X_72,product(B,D)),C,X_72)
    | bigC(difference(X_72,product(B,D)),C,X_72) = product(product(difference(X_72,product(B,D)),B),product(C,D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(difference(X_72,product(B,D)),B),product(C,D)))),bind(Y,$fot(bigC(difference(X_72,product(B,D)),C,X_72)))]]) ).

cnf(refute_0_13413,plain,
    bigC(difference(X_72,product(B,D)),C,X_72) = product(product(difference(X_72,product(B,D)),B),product(C,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(X_72,product(B,D)),B),product(C,D)),bigC(difference(X_72,product(B,D)),C,X_72)) )],[refute_0_13411,refute_0_13412]) ).

cnf(refute_0_13414,plain,
    bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))),
    inference(subst,[],[refute_0_13413:[bind(B,$fot(a)),bind(C,$fot(X_71)),bind(D,$fot(product(c,b))),bind(X_72,$fot(difference(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_13415,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b)))
    | product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) != product(bigC(a,a,c),product(X_71,product(c,b)))
    | bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(bigC(a,a,c),product(X_71,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))))),bind(Z,$fot(product(bigC(a,a,c),product(X_71,product(c,b)))))]]) ).

cnf(refute_0_13416,plain,
    ( product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))) != product(bigC(a,a,c),product(X_71,product(c,b)))
    | bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(bigC(a,a,c),product(X_71,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b)))) )],[refute_0_13414,refute_0_13415]) ).

cnf(refute_0_13417,plain,
    bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) = product(bigC(a,a,c),product(X_71,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),a),product(X_71,product(c,b))),product(bigC(a,a,c),product(X_71,product(c,b)))) )],[refute_0_13404,refute_0_13416]) ).

cnf(refute_0_13418,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(bigC(a,a,c),product(X_71,product(c,b)))
    | bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(product(a,c),X_71),product(a,product(c,b)))
    | product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(product(a,c),X_71),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(product(product(a,c),X_71),product(a,product(c,b)))) ),[0],$fot(product(bigC(a,a,c),product(X_71,product(c,b))))]]) ).

cnf(refute_0_13419,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(product(a,c),X_71),product(a,product(c,b)))
    | product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(product(a,c),X_71),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(bigC(a,a,c),product(X_71,product(c,b)))) )],[refute_0_13417,refute_0_13418]) ).

cnf(refute_0_13420,plain,
    product(bigC(a,c,a),product(X_71,product(c,b))) = product(product(a,c),product(X_71,product(a,b))),
    inference(subst,[],[refute_0_464:[bind(X_25,$fot(X_71)),bind(X_65,$fot(a)),bind(X_66,$fot(c)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_13421,plain,
    product(product(product(a,c),X_71),product(a,product(c,b))) = product(bigC(a,c,a),product(X_71,product(c,b))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(c)),bind(X_24,$fot(a)),bind(X_25,$fot(X_71)),bind(X_26,$fot(product(c,b)))]]) ).

cnf(refute_0_13422,plain,
    ( product(bigC(a,c,a),product(X_71,product(c,b))) != product(product(a,c),product(X_71,product(a,b)))
    | product(product(product(a,c),X_71),product(a,product(c,b))) != product(bigC(a,c,a),product(X_71,product(c,b)))
    | product(product(product(a,c),X_71),product(a,product(c,b))) = product(product(a,c),product(X_71,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,c),X_71),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,c,a),product(X_71,product(c,b))))),bind(Z,$fot(product(product(a,c),product(X_71,product(a,b)))))]]) ).

cnf(refute_0_13423,plain,
    ( product(bigC(a,c,a),product(X_71,product(c,b))) != product(product(a,c),product(X_71,product(a,b)))
    | product(product(product(a,c),X_71),product(a,product(c,b))) = product(product(a,c),product(X_71,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_71),product(a,product(c,b))),product(bigC(a,c,a),product(X_71,product(c,b)))) )],[refute_0_13421,refute_0_13422]) ).

cnf(refute_0_13424,plain,
    product(product(product(a,c),X_71),product(a,product(c,b))) = product(product(a,c),product(X_71,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(X_71,product(c,b))),product(product(a,c),product(X_71,product(a,b)))) )],[refute_0_13420,refute_0_13423]) ).

cnf(refute_0_13425,plain,
    ( product(bigC(a,a,c),product(X_71,product(c,b))) != product(product(product(a,c),X_71),product(a,product(c,b)))
    | product(product(product(a,c),X_71),product(a,product(c,b))) != product(product(a,c),product(X_71,product(a,b)))
    | product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(a,c),product(X_71,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(X_71,product(c,b))),product(product(a,c),product(X_71,product(a,b)))) ),[0],$fot(product(product(product(a,c),X_71),product(a,product(c,b))))]]) ).

cnf(refute_0_13426,plain,
    ( product(bigC(a,a,c),product(X_71,product(c,b))) != product(product(product(a,c),X_71),product(a,product(c,b)))
    | product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(a,c),product(X_71,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_71),product(a,product(c,b))),product(product(a,c),product(X_71,product(a,b)))) )],[refute_0_13424,refute_0_13425]) ).

cnf(refute_0_13427,plain,
    ( bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))) != product(product(product(a,c),X_71),product(a,product(c,b)))
    | product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(a,c),product(X_71,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(X_71,product(c,b))),product(product(product(a,c),X_71),product(a,product(c,b)))) )],[refute_0_13419,refute_0_13426]) ).

cnf(refute_0_13428,plain,
    product(bigC(a,a,c),product(X_71,product(c,b))) = product(product(a,c),product(X_71,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(c,a,b),product(a,c)),product(a,product(c,b))),X_71,difference(bigC(c,a,b),product(a,c))),product(product(product(a,c),X_71),product(a,product(c,b)))) )],[refute_0_13393,refute_0_13427]) ).

cnf(refute_0_13429,plain,
    product(bigC(a,a,c),product(c,product(c,b))) = product(product(a,c),product(c,product(a,b))),
    inference(subst,[],[refute_0_13428:[bind(X_71,$fot(c))]]) ).

cnf(refute_0_13430,plain,
    product(bigC(a,a,c),product(product(c,a),b)) = product(bigC(a,a,c),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(product(c,a),b)))]]) ).

cnf(refute_0_13431,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(bigC(a,a,c),product(product(c,a),b)) = product(bigC(a,a,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(bigC(a,a,c),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13432,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(bigC(a,a,c),product(product(c,a),b)) = product(bigC(a,a,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13430,refute_0_13431]) ).

cnf(refute_0_13433,plain,
    product(bigC(a,a,c),product(product(c,a),b)) = product(bigC(a,a,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_13432]) ).

cnf(refute_0_13434,plain,
    ( product(bigC(a,a,c),product(c,product(c,b))) != product(product(a,c),product(c,product(a,b)))
    | product(bigC(a,a,c),product(product(c,a),b)) != product(bigC(a,a,c),product(c,product(c,b)))
    | product(bigC(a,a,c),product(product(c,a),b)) = product(product(a,c),product(c,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),product(product(c,a),b)))),bind(Y,$fot(product(bigC(a,a,c),product(c,product(c,b))))),bind(Z,$fot(product(product(a,c),product(c,product(a,b)))))]]) ).

cnf(refute_0_13435,plain,
    ( product(bigC(a,a,c),product(c,product(c,b))) != product(product(a,c),product(c,product(a,b)))
    | product(bigC(a,a,c),product(product(c,a),b)) = product(product(a,c),product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(bigC(a,a,c),product(c,product(c,b)))) )],[refute_0_13433,refute_0_13434]) ).

cnf(refute_0_13436,plain,
    product(bigC(a,a,c),product(product(c,a),b)) = product(product(a,c),product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,product(c,b))),product(product(a,c),product(c,product(a,b)))) )],[refute_0_13429,refute_0_13435]) ).

cnf(refute_0_13437,plain,
    ( product(a,bigC(b,c,c)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(bigC(a,a,c),product(product(c,a),b)) != product(product(a,c),product(c,product(a,b)))
    | product(a,bigC(b,c,c)) = product(product(a,c),product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,bigC(b,c,c)),product(product(a,c),product(c,product(a,b)))) ),[0],$fot(product(bigC(a,a,c),product(product(c,a),b)))]]) ).

cnf(refute_0_13438,plain,
    ( product(a,bigC(b,c,c)) != product(bigC(a,a,c),product(product(c,a),b))
    | product(a,bigC(b,c,c)) = product(product(a,c),product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(product(a,c),product(c,product(a,b)))) )],[refute_0_13436,refute_0_13437]) ).

cnf(refute_0_13439,plain,
    product(a,bigC(b,c,c)) = product(product(a,c),product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,c)),product(bigC(a,a,c),product(product(c,a),b))) )],[refute_0_13373,refute_0_13438]) ).

cnf(refute_0_13440,plain,
    product(product(a,c),product(c,product(a,b))) = product(product(a,c),product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(c,product(a,b))))]]) ).

cnf(refute_0_13441,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_13442,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(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_13440,refute_0_13441]) ).

cnf(refute_0_13443,plain,
    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_1833,refute_0_13442]) ).

cnf(refute_0_13444,plain,
    ( product(product(a,c),product(a,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,c),product(c,product(a,b))) != product(product(a,c),product(a,product(b,c)))
    | product(product(a,c),product(c,product(a,b))) = product(a,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(c,product(a,b))))),bind(Y,$fot(product(product(a,c),product(a,product(b,c))))),bind(Z,$fot(product(a,bigC(b,a,b))))]]) ).

cnf(refute_0_13445,plain,
    ( product(product(a,c),product(a,product(b,c))) != product(a,bigC(b,a,b))
    | product(product(a,c),product(c,product(a,b))) = product(a,bigC(b,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_13443,refute_0_13444]) ).

cnf(refute_0_13446,plain,
    product(product(a,c),product(c,product(a,b))) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(b,c))),product(a,bigC(b,a,b))) )],[refute_0_13284,refute_0_13445]) ).

cnf(refute_0_13447,plain,
    ( product(a,bigC(b,c,c)) != product(product(a,c),product(c,product(a,b)))
    | product(product(a,c),product(c,product(a,b))) != product(a,bigC(b,a,b))
    | product(a,bigC(b,c,c)) = product(a,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,bigC(b,c,c)),product(a,bigC(b,a,b))) ),[0],$fot(product(product(a,c),product(c,product(a,b))))]]) ).

cnf(refute_0_13448,plain,
    ( product(a,bigC(b,c,c)) != product(product(a,c),product(c,product(a,b)))
    | product(a,bigC(b,c,c)) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,product(a,b))),product(a,bigC(b,a,b))) )],[refute_0_13446,refute_0_13447]) ).

cnf(refute_0_13449,plain,
    product(a,bigC(b,c,c)) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,c)),product(product(a,c),product(c,product(a,b)))) )],[refute_0_13439,refute_0_13448]) ).

cnf(refute_0_13450,plain,
    product(product(A,C),product(a,bigC(b,c,c))) = product(product(A,C),product(a,bigC(b,c,c))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(a,bigC(b,c,c))))]]) ).

cnf(refute_0_13451,plain,
    ( product(a,bigC(b,c,c)) != product(a,bigC(b,a,b))
    | product(product(A,C),product(a,bigC(b,c,c))) != product(product(A,C),product(a,bigC(b,c,c)))
    | product(product(A,C),product(a,bigC(b,c,c))) = product(product(A,C),product(a,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,c))),product(product(A,C),product(a,bigC(b,c,c)))) ),[1,1],$fot(product(a,bigC(b,a,b)))]]) ).

cnf(refute_0_13452,plain,
    ( product(a,bigC(b,c,c)) != product(a,bigC(b,a,b))
    | product(product(A,C),product(a,bigC(b,c,c))) = product(product(A,C),product(a,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,c))),product(product(A,C),product(a,bigC(b,c,c)))) )],[refute_0_13450,refute_0_13451]) ).

cnf(refute_0_13453,plain,
    product(product(A,C),product(a,bigC(b,c,c))) = product(product(A,C),product(a,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,c)),product(a,bigC(b,a,b))) )],[refute_0_13449,refute_0_13452]) ).

cnf(refute_0_13454,plain,
    ( product(product(A,C),product(a,bigC(b,c,c))) != product(product(A,C),product(a,bigC(b,a,b)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) != product(product(A,C),product(a,bigC(b,c,c)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))),product(product(A,C),product(a,bigC(b,c,c)))) ),[1],$fot(product(product(A,C),product(a,bigC(b,a,b))))]]) ).

cnf(refute_0_13455,plain,
    ( product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) != product(product(A,C),product(a,bigC(b,c,c)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,c))),product(product(A,C),product(a,bigC(b,a,b)))) )],[refute_0_13453,refute_0_13454]) ).

cnf(refute_0_13456,plain,
    product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(A,C),product(a,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(c,product(c,b)))),product(product(A,C),product(a,bigC(b,c,c)))) )],[refute_0_13385,refute_0_13455]) ).

cnf(refute_0_13457,plain,
    product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) = product(product(c,C),product(a,bigC(b,a,b))),
    inference(subst,[],[refute_0_13456:[bind(A,$fot(c))]]) ).

cnf(refute_0_13458,plain,
    ( product(product(c,C),product(a,bigC(b,a,b))) != bigC(c,C,product(a,product(a,c)))
    | product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) != product(product(c,C),product(a,bigC(b,a,b)))
    | product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) = bigC(c,C,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))))),bind(Y,$fot(product(product(c,C),product(a,bigC(b,a,b))))),bind(Z,$fot(bigC(c,C,product(a,product(a,c)))))]]) ).

cnf(refute_0_13459,plain,
    ( product(product(c,C),product(a,bigC(b,a,b))) != bigC(c,C,product(a,product(a,c)))
    | product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) = bigC(c,C,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))),product(product(c,C),product(a,bigC(b,a,b)))) )],[refute_0_13457,refute_0_13458]) ).

cnf(refute_0_13460,plain,
    product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) = bigC(c,C,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,C),product(a,bigC(b,a,b))),bigC(c,C,product(a,product(a,c)))) )],[refute_0_13327,refute_0_13459]) ).

cnf(refute_0_13461,plain,
    ( bigC(product(c,product(c,b)),a,C) != product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b))))
    | product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))) != bigC(c,C,product(a,product(a,c)))
    | bigC(product(c,product(c,b)),a,C) = bigC(c,C,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,product(c,b)),a,C),bigC(c,C,product(a,product(a,c)))) ),[0],$fot(product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))))]]) ).

cnf(refute_0_13462,plain,
    ( bigC(product(c,product(c,b)),a,C) != product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b))))
    | bigC(product(c,product(c,b)),a,C) = bigC(c,C,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b)))),bigC(c,C,product(a,product(a,c)))) )],[refute_0_13460,refute_0_13461]) ).

cnf(refute_0_13463,plain,
    bigC(product(c,product(c,b)),a,C) = bigC(c,C,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,C),product(product(c,bigC(a,a,c)),product(C,product(c,product(c,b))))) )],[refute_0_13202,refute_0_13462]) ).

cnf(refute_0_13464,plain,
    bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))),
    inference(subst,[],[refute_0_13463:[bind(C,$fot(quotient(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_13465,plain,
    ( bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))) != bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c)))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)))),bind(Y,$fot(bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))))),bind(Z,$fot(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))))]]) ).

cnf(refute_0_13466,plain,
    ( bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))) != bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)),bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c)))) )],[refute_0_13464,refute_0_13465]) ).

cnf(refute_0_13467,plain,
    bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(c,bigC(a,a,c)),a),product(a,product(a,c))),bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13198,refute_0_13466]) ).

cnf(refute_0_13468,plain,
    ( bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)))),bind(Y,$fot(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)))),bind(Z,$fot(product(c,difference(bigC(a,a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_13469,plain,
    ( bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)),bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13467,refute_0_13468]) ).

cnf(refute_0_13470,plain,
    bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) = product(c,difference(bigC(a,a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(a,c)),quotient(product(c,bigC(a,a,c)),a)),product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) )],[refute_0_13197,refute_0_13469]) ).

cnf(refute_0_13471,plain,
    ( bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != product(c,difference(bigC(a,a,product(b,c)),product(a,c)))
    | bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) ),[0],$fot(product(c,difference(bigC(a,a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_13472,plain,
    ( bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)),product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) )],[refute_0_13470,refute_0_13471]) ).

cnf(refute_0_13473,plain,
    product(product(c,a),product(c,bigC(b,b,c))) = product(c,product(a,bigC(b,b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_13474,plain,
    product(product(c,c),product(a,bigC(b,b,c))) = product(product(c,a),product(c,bigC(b,b,c))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_13475,plain,
    ( product(product(c,a),product(c,bigC(b,b,c))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,c),product(a,bigC(b,b,c))) != product(product(c,a),product(c,bigC(b,b,c)))
    | product(product(c,c),product(a,bigC(b,b,c))) = product(c,product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(a,bigC(b,b,c))))),bind(Y,$fot(product(product(c,a),product(c,bigC(b,b,c))))),bind(Z,$fot(product(c,product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_13476,plain,
    ( product(product(c,a),product(c,bigC(b,b,c))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,c),product(a,bigC(b,b,c))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(a,bigC(b,b,c))),product(product(c,a),product(c,bigC(b,b,c)))) )],[refute_0_13474,refute_0_13475]) ).

cnf(refute_0_13477,plain,
    product(product(c,c),product(a,bigC(b,b,c))) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,bigC(b,b,c))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13473,refute_0_13476]) ).

cnf(refute_0_13478,plain,
    product(product(A,bigC(a,a,c)),product(C,product(c,b))) = product(product(A,C),product(bigC(a,a,c),product(c,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_13479,plain,
    ( product(bigC(a,a,c),product(c,b)) != product(a,bigC(b,b,c))
    | product(product(A,bigC(a,a,c)),product(C,product(c,b))) != product(product(A,C),product(bigC(a,a,c),product(c,b)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(c,b))),product(product(A,C),product(bigC(a,a,c),product(c,b)))) ),[1,1],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_13480,plain,
    ( product(product(A,bigC(a,a,c)),product(C,product(c,b))) != product(product(A,C),product(bigC(a,a,c),product(c,b)))
    | product(product(A,bigC(a,a,c)),product(C,product(c,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,b)),product(a,bigC(b,b,c))) )],[refute_0_8594,refute_0_13479]) ).

cnf(refute_0_13481,plain,
    product(product(A,bigC(a,a,c)),product(C,product(c,b))) = product(product(A,C),product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,c)),product(C,product(c,b))),product(product(A,C),product(bigC(a,a,c),product(c,b)))) )],[refute_0_13478,refute_0_13480]) ).

cnf(refute_0_13482,plain,
    product(product(c,bigC(a,a,c)),product(c,product(c,b))) = product(product(c,c),product(a,bigC(b,b,c))),
    inference(subst,[],[refute_0_13481:[bind(A,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_13483,plain,
    ( product(product(c,bigC(a,a,c)),product(c,product(c,b))) != product(product(c,c),product(a,bigC(b,b,c)))
    | product(product(c,c),product(a,bigC(b,b,c))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,bigC(a,a,c)),product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),product(c,product(c,b))))),bind(Y,$fot(product(product(c,c),product(a,bigC(b,b,c))))),bind(Z,$fot(product(c,product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_13484,plain,
    ( product(product(c,c),product(a,bigC(b,b,c))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,bigC(a,a,c)),product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(c,product(c,b))),product(product(c,c),product(a,bigC(b,b,c)))) )],[refute_0_13482,refute_0_13483]) ).

cnf(refute_0_13485,plain,
    product(product(c,bigC(a,a,c)),product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(a,bigC(b,b,c))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13477,refute_0_13484]) ).

cnf(refute_0_13486,plain,
    product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_13487,plain,
    ( product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | quotient(product(c,bigC(a,a,c)),a) != product(c,product(c,b))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13488,plain,
    ( quotient(product(c,bigC(a,a,c)),a) != product(c,product(c,b))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13486,refute_0_13487]) ).

cnf(refute_0_13489,plain,
    product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(product(c,bigC(a,a,c)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),a),product(c,product(c,b))) )],[refute_0_13109,refute_0_13488]) ).

cnf(refute_0_13490,plain,
    ( product(product(c,bigC(a,a,c)),product(c,product(c,b))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),product(c,product(c,b)))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)))),bind(Y,$fot(product(product(c,bigC(a,a,c)),product(c,product(c,b))))),bind(Z,$fot(product(c,product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_13491,plain,
    ( product(product(c,bigC(a,a,c)),product(c,product(c,b))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),product(c,product(c,b)))) )],[refute_0_13489,refute_0_13490]) ).

cnf(refute_0_13492,plain,
    product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),product(c,product(c,b))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13485,refute_0_13491]) ).

cnf(refute_0_13493,plain,
    ( product(c,difference(bigC(a,a,product(b,c)),product(a,c))) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)) != product(c,product(a,bigC(b,b,c)))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(c,product(a,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(c,product(a,bigC(b,b,c)))) ),[0],$fot(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_13494,plain,
    ( product(c,difference(bigC(a,a,product(b,c)),product(a,c))) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a)),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13492,refute_0_13493]) ).

cnf(refute_0_13495,plain,
    ( bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)) != product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13472,refute_0_13494]) ).

cnf(refute_0_13496,plain,
    product(c,difference(bigC(a,a,product(b,c)),product(a,c))) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,quotient(product(c,bigC(a,a,c)),a)),product(product(c,bigC(a,a,c)),quotient(product(c,bigC(a,a,c)),a))) )],[refute_0_13112,refute_0_13495]) ).

cnf(refute_0_13497,plain,
    ( product(c,difference(bigC(a,a,product(b,c)),product(a,c))) != product(c,product(a,bigC(b,b,c)))
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(B,D))
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(B,D))) ),[1,0],$fot(product(c,product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_13498,plain,
    ( product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(B,D))
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13496,refute_0_13497]) ).

cnf(refute_0_13499,plain,
    product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(B,D))) )],[refute_0_13104,refute_0_13498]) ).

cnf(refute_0_13500,plain,
    difference(c,product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(difference(bigC(a,a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_13501,plain,
    ( difference(c,product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(c,difference(bigC(a,a,product(b,c)),product(a,c))) != product(c,product(a,bigC(b,b,c)))
    | difference(c,product(c,product(a,bigC(b,b,c)))) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(bigC(a,a,product(b,c)),product(a,c)))),difference(bigC(a,a,product(b,c)),product(a,c))) ),[0,1],$fot(product(c,product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_13502,plain,
    ( difference(c,product(c,difference(bigC(a,a,product(b,c)),product(a,c)))) != difference(bigC(a,a,product(b,c)),product(a,c))
    | difference(c,product(c,product(a,bigC(b,b,c)))) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(bigC(a,a,product(b,c)),product(a,c))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13496,refute_0_13501]) ).

cnf(refute_0_13503,plain,
    difference(c,product(c,product(a,bigC(b,b,c)))) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(bigC(a,a,product(b,c)),product(a,c)))),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13500,refute_0_13502]) ).

cnf(refute_0_13504,plain,
    difference(c,product(c,product(a,bigC(b,b,c)))) = product(a,bigC(b,b,c)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_13505,plain,
    ( difference(c,product(c,product(a,bigC(b,b,c)))) != difference(bigC(a,a,product(b,c)),product(a,c))
    | difference(c,product(c,product(a,bigC(b,b,c)))) != product(a,bigC(b,b,c))
    | product(a,bigC(b,b,c)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(a,bigC(b,b,c)))),difference(bigC(a,a,product(b,c)),product(a,c))) ),[0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_13506,plain,
    ( difference(c,product(c,product(a,bigC(b,b,c)))) != difference(bigC(a,a,product(b,c)),product(a,c))
    | product(a,bigC(b,b,c)) = difference(bigC(a,a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(a,bigC(b,b,c)))),product(a,bigC(b,b,c))) )],[refute_0_13504,refute_0_13505]) ).

cnf(refute_0_13507,plain,
    product(a,bigC(b,b,c)) = difference(bigC(a,a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(a,bigC(b,b,c)))),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13503,refute_0_13506]) ).

cnf(refute_0_13508,plain,
    ( product(a,bigC(b,b,c)) != difference(bigC(a,a,product(b,c)),product(a,c))
    | difference(bigC(a,a,product(b,c)),product(a,c)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,bigC(b,b,c)))),bind(Y,$fot(difference(bigC(a,a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_13509,plain,
    difference(bigC(a,a,product(b,c)),product(a,c)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,c)),difference(bigC(a,a,product(b,c)),product(a,c))) )],[refute_0_13507,refute_0_13508]) ).

cnf(refute_0_13510,plain,
    product(difference(bigC(a,a,product(b,c)),product(a,c)),D) = product(difference(bigC(a,a,product(b,c)),product(a,c)),D),
    introduced(tautology,[refl,[$fot(product(difference(bigC(a,a,product(b,c)),product(a,c)),D))]]) ).

cnf(refute_0_13511,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(a,bigC(b,b,c))
    | product(difference(bigC(a,a,product(b,c)),product(a,c)),D) != product(difference(bigC(a,a,product(b,c)),product(a,c)),D)
    | product(difference(bigC(a,a,product(b,c)),product(a,c)),D) = product(product(a,bigC(b,b,c)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(a,a,product(b,c)),product(a,c)),D),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_13512,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(a,bigC(b,b,c))
    | product(difference(bigC(a,a,product(b,c)),product(a,c)),D) = product(product(a,bigC(b,b,c)),D) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,product(b,c)),product(a,c)),D),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) )],[refute_0_13510,refute_0_13511]) ).

cnf(refute_0_13513,plain,
    product(difference(bigC(a,a,product(b,c)),product(a,c)),D) = product(product(a,bigC(b,b,c)),D),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(a,bigC(b,b,c))) )],[refute_0_13509,refute_0_13512]) ).

cnf(refute_0_13514,plain,
    product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)))]]) ).

cnf(refute_0_13515,plain,
    ( product(difference(bigC(a,a,product(b,c)),product(a,c)),D) != product(product(a,bigC(b,b,c)),D)
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D))
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,B),product(product(a,bigC(b,b,c)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D))) ),[1,1],$fot(product(product(a,bigC(b,b,c)),D))]]) ).

cnf(refute_0_13516,plain,
    ( product(difference(bigC(a,a,product(b,c)),product(a,c)),D) != product(product(a,bigC(b,b,c)),D)
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,B),product(product(a,bigC(b,b,c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D))) )],[refute_0_13514,refute_0_13515]) ).

cnf(refute_0_13517,plain,
    product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) = product(product(c,B),product(product(a,bigC(b,b,c)),D)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,product(b,c)),product(a,c)),D),product(product(a,bigC(b,b,c)),D)) )],[refute_0_13513,refute_0_13516]) ).

cnf(refute_0_13518,plain,
    ( product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,B),product(product(a,bigC(b,b,c)),D))
    | product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,product(a,bigC(b,b,c))),product(B,D))
    | product(product(c,B),product(product(a,bigC(b,b,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,product(a,bigC(b,b,c))),product(B,D))) ),[0],$fot(product(product(c,B),product(product(a,bigC(b,b,c)),D)))]]) ).

cnf(refute_0_13519,plain,
    ( product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)) != product(product(c,product(a,bigC(b,b,c))),product(B,D))
    | product(product(c,B),product(product(a,bigC(b,b,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,B),product(product(a,bigC(b,b,c)),D))) )],[refute_0_13517,refute_0_13518]) ).

cnf(refute_0_13520,plain,
    product(product(c,B),product(product(a,bigC(b,b,c)),D)) = product(product(c,product(a,bigC(b,b,c))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(bigC(a,a,product(b,c)),product(a,c)),D)),product(product(c,product(a,bigC(b,b,c))),product(B,D))) )],[refute_0_13499,refute_0_13519]) ).

cnf(refute_0_13521,plain,
    ( product(product(c,B),product(product(a,bigC(b,b,c)),D)) != product(product(c,product(a,bigC(b,b,c))),product(B,D))
    | product(product(c,product(a,bigC(b,b,c))),product(B,D)) = product(product(c,B),product(product(a,bigC(b,b,c)),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,B),product(product(a,bigC(b,b,c)),D)))),bind(Y,$fot(product(product(c,product(a,bigC(b,b,c))),product(B,D))))]]) ).

cnf(refute_0_13522,plain,
    product(product(c,product(a,bigC(b,b,c))),product(B,D)) = product(product(c,B),product(product(a,bigC(b,b,c)),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,bigC(b,b,c)),D)),product(product(c,product(a,bigC(b,b,c))),product(B,D))) )],[refute_0_13520,refute_0_13521]) ).

cnf(refute_0_13523,plain,
    product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) = product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))),
    inference(subst,[],[refute_0_13522:[bind(B,$fot(c)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_13524,plain,
    ( product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) != product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b)))
    | product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))))),bind(Y,$fot(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))))),bind(Z,$fot(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13525,plain,
    ( product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))),product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b)))) )],[refute_0_13523,refute_0_13524]) ).

cnf(refute_0_13526,plain,
    product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,bigC(b,b,c)),product(c,b))),product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13103,refute_0_13525]) ).

cnf(refute_0_13527,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != product(a,bigC(b,b,c))
    | difference(bigC(a,a,product(b,c)),product(a,c)) != 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( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(bigC(a,a,b),product(product(a,c),b))) ),[0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_13528,plain,
    ( difference(bigC(a,a,product(b,c)),product(a,c)) != 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)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(a,bigC(b,b,c))) )],[refute_0_13509,refute_0_13527]) ).

cnf(refute_0_13529,plain,
    product(a,bigC(b,b,c)) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,product(b,c)),product(a,c)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_13177,refute_0_13528]) ).

cnf(refute_0_13530,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_16:[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_13531,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_13529,refute_0_13530]) ).

cnf(refute_0_13532,plain,
    ( product(bigC(a,a,b),product(product(a,c),b)) != product(a,bigC(b,b,c))
    | product(product(a,product(a,c)),bigC(b,a,b)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(product(a,product(a,c)),bigC(b,a,b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,c)),bigC(b,a,b)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),b)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_13533,plain,
    ( product(bigC(a,a,b),product(product(a,c),b)) != product(a,bigC(b,b,c))
    | product(product(a,product(a,c)),bigC(b,a,b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(b,a,b)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_13174,refute_0_13532]) ).

cnf(refute_0_13534,plain,
    product(product(a,product(a,c)),bigC(b,a,b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),b)),product(a,bigC(b,b,c))) )],[refute_0_13531,refute_0_13533]) ).

cnf(refute_0_13535,plain,
    ( product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | product(product(a,product(a,c)),bigC(b,a,b)) != product(a,bigC(b,b,c))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,product(a,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) ),[1,1],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_13536,plain,
    ( product(product(a,product(a,c)),bigC(b,a,b)) != product(a,bigC(b,b,c))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) )],[refute_0_13183,refute_0_13535]) ).

cnf(refute_0_13537,plain,
    product(c,product(product(a,product(a,c)),bigC(b,a,b))) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),bigC(b,a,b)),product(a,bigC(b,b,c))) )],[refute_0_13534,refute_0_13536]) ).

cnf(refute_0_13538,plain,
    product(bigC(a,b,product(a,b)),product(X_25,c)) = product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),c)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(a,b,product(a,b)))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_13539,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(bigC(a,b,product(a,b)),product(X_25,c)) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),c))
    | product(bigC(a,b,product(a,b)),product(X_25,c)) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,c)),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),c))) ),[1,1],$fot(product(c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_13540,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,c)) != product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),c))
    | product(bigC(a,b,product(a,b)),product(X_25,c)) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10923,refute_0_13539]) ).

cnf(refute_0_13541,plain,
    product(bigC(a,b,product(a,b)),product(X_25,c)) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,c)),product(product(bigC(a,b,product(a,b)),X_25),product(bigC(a,b,product(a,b)),c))) )],[refute_0_13538,refute_0_13540]) ).

cnf(refute_0_13542,plain,
    bigC(bigC(a,b,c),difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))),bind(X_17,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_13543,plain,
    difference(bigC(a,b,c),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) = product(product(a,b),bigC(a,b,c)),
    inference(subst,[],[refute_0_1052:[bind(X_52,$fot(bigC(a,b,c))),bind(X_53,$fot(product(a,b)))]]) ).

cnf(refute_0_13544,plain,
    ( bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)) != product(bigC(a,a,c),product(b,bigC(a,b,c)))
    | difference(bigC(a,b,c),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) != product(product(a,b),bigC(a,b,c))
    | difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,c),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))),product(product(a,b),bigC(a,b,c))) ),[0,1],$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))]]) ).

cnf(refute_0_13545,plain,
    ( difference(bigC(a,b,c),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))) != product(product(a,b),bigC(a,b,c))
    | difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(a,b),bigC(a,b,c)),product(bigC(a,a,c),product(b,bigC(a,b,c)))) )],[refute_0_6504,refute_0_13544]) ).

cnf(refute_0_13546,plain,
    difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,c),bigC(bigC(a,b,c),product(a,b),bigC(a,b,c))),product(product(a,b),bigC(a,b,c))) )],[refute_0_13543,refute_0_13545]) ).

cnf(refute_0_13547,plain,
    ( bigC(bigC(a,b,c),difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(a,b),bigC(a,b,c))
    | bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) ),[0,1],$fot(product(product(a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_13548,plain,
    ( bigC(bigC(a,b,c),difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(a,b),bigC(a,b,c))) )],[refute_0_13546,refute_0_13547]) ).

cnf(refute_0_13549,plain,
    bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),difference(bigC(a,b,c),product(bigC(a,a,c),product(b,bigC(a,b,c)))),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13542,refute_0_13548]) ).

cnf(refute_0_13550,plain,
    bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19))]]) ).

cnf(refute_0_13551,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) != bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19)
    | product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = bigC(bigC(a,b,c),product(product(a,b),c),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19)) ),[1,1],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_13552,plain,
    ( product(product(a,b),bigC(a,b,c)) != product(product(a,b),c)
    | bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = bigC(bigC(a,b,c),product(product(a,b),c),X_19) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19)) )],[refute_0_13550,refute_0_13551]) ).

cnf(refute_0_13553,plain,
    bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) = bigC(bigC(a,b,c),product(product(a,b),c),X_19),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,b,c)),product(product(a,b),c)) )],[refute_0_6842,refute_0_13552]) ).

cnf(refute_0_13554,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) != bigC(bigC(a,b,c),product(product(a,b),c),X_19)
    | bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(product(a,b),c),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) ),[0],$fot(bigC(bigC(a,b,c),product(product(a,b),c),X_19))]]) ).

cnf(refute_0_13555,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(product(a,b),c),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),bigC(bigC(a,b,c),product(product(a,b),c),X_19)) )],[refute_0_13553,refute_0_13554]) ).

cnf(refute_0_13556,plain,
    bigC(bigC(a,b,c),product(product(a,b),c),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),bigC(a,b,c)),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13549,refute_0_13555]) ).

cnf(refute_0_13557,plain,
    bigC(bigC(a,b,c),product(product(a,b),c),X_19) = bigC(bigC(a,b,c),product(product(a,b),c),X_19),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(product(a,b),c),X_19))]]) ).

cnf(refute_0_13558,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),c),X_19) != bigC(bigC(a,b,c),product(product(a,b),c),X_19)
    | product(product(a,b),c) != product(c,product(c,b))
    | bigC(bigC(a,b,c),product(product(a,b),c),X_19) = bigC(bigC(a,b,c),product(c,product(c,b)),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),c),X_19),bigC(bigC(a,b,c),product(product(a,b),c),X_19)) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13559,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | bigC(bigC(a,b,c),product(product(a,b),c),X_19) = bigC(bigC(a,b,c),product(c,product(c,b)),X_19) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),c),X_19),bigC(bigC(a,b,c),product(product(a,b),c),X_19)) )],[refute_0_13557,refute_0_13558]) ).

cnf(refute_0_13560,plain,
    bigC(bigC(a,b,c),product(product(a,b),c),X_19) = bigC(bigC(a,b,c),product(c,product(c,b)),X_19),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_13559]) ).

cnf(refute_0_13561,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),c),X_19) != bigC(bigC(a,b,c),product(c,product(c,b)),X_19)
    | bigC(bigC(a,b,c),product(product(a,b),c),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),c),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) ),[0],$fot(bigC(bigC(a,b,c),product(c,product(c,b)),X_19))]]) ).

cnf(refute_0_13562,plain,
    ( bigC(bigC(a,b,c),product(product(a,b),c),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),c),X_19),bigC(bigC(a,b,c),product(c,product(c,b)),X_19)) )],[refute_0_13560,refute_0_13561]) ).

cnf(refute_0_13563,plain,
    bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(product(a,b),c),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13556,refute_0_13562]) ).

cnf(refute_0_13564,plain,
    bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = bigC(bigC(a,b,c),product(c,product(c,b)),X_19),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(c,product(c,b)),X_19))]]) ).

cnf(refute_0_13565,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) != bigC(bigC(a,b,c),product(c,product(c,b)),X_19)
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = bigC(c,product(c,product(c,b)),X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(c,product(c,b)),X_19),bigC(bigC(a,b,c),product(c,product(c,b)),X_19)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_13566,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = bigC(c,product(c,product(c,b)),X_19) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,product(c,b)),X_19),bigC(bigC(a,b,c),product(c,product(c,b)),X_19)) )],[refute_0_13564,refute_0_13565]) ).

cnf(refute_0_13567,plain,
    bigC(bigC(a,b,c),product(c,product(c,b)),X_19) = bigC(c,product(c,product(c,b)),X_19),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_13566]) ).

cnf(refute_0_13568,plain,
    ( bigC(bigC(a,b,c),product(c,product(c,b)),X_19) != bigC(c,product(c,product(c,b)),X_19)
    | bigC(bigC(a,b,c),product(c,product(c,b)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(c,product(c,product(c,b)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(c,product(c,b)),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) ),[0],$fot(bigC(c,product(c,product(c,b)),X_19))]]) ).

cnf(refute_0_13569,plain,
    ( bigC(bigC(a,b,c),product(c,product(c,b)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(c,product(c,product(c,b)),X_19) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,product(c,b)),X_19),bigC(c,product(c,product(c,b)),X_19)) )],[refute_0_13567,refute_0_13568]) ).

cnf(refute_0_13570,plain,
    product(X_19,bigC(a,b,c)) = product(X_19,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(X_19,bigC(a,b,c)))]]) ).

cnf(refute_0_13571,plain,
    ( bigC(a,b,c) != c
    | product(X_19,bigC(a,b,c)) != product(X_19,bigC(a,b,c))
    | product(X_19,bigC(a,b,c)) = product(X_19,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_19,bigC(a,b,c)),product(X_19,bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_13572,plain,
    ( bigC(a,b,c) != c
    | product(X_19,bigC(a,b,c)) = product(X_19,c) ),
    inference(resolve,[$cnf( $equal(product(X_19,bigC(a,b,c)),product(X_19,bigC(a,b,c))) )],[refute_0_13570,refute_0_13571]) ).

cnf(refute_0_13573,plain,
    product(X_19,bigC(a,b,c)) = product(X_19,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_13572]) ).

cnf(refute_0_13574,plain,
    product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))))]]) ).

cnf(refute_0_13575,plain,
    ( product(X_19,bigC(a,b,c)) != product(X_19,c)
    | product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) != product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c)))
    | product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))),product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c)))) ),[1,1],$fot(product(X_19,c))]]) ).

cnf(refute_0_13576,plain,
    ( product(X_19,bigC(a,b,c)) != product(X_19,c)
    | product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))),product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c)))) )],[refute_0_13574,refute_0_13575]) ).

cnf(refute_0_13577,plain,
    product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)),
    inference(resolve,[$cnf( $equal(product(X_19,bigC(a,b,c)),product(X_19,c)) )],[refute_0_13573,refute_0_13576]) ).

cnf(refute_0_13578,plain,
    product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))))]]) ).

cnf(refute_0_13579,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_13580,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13578,refute_0_13579]) ).

cnf(refute_0_13581,plain,
    product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,product(a,b))) )],[refute_0_7030,refute_0_13580]) ).

cnf(refute_0_13582,plain,
    ( product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) != product(bigC(a,b,product(a,b)),product(X_19,c))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) != product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c)))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))))),bind(Z,$fot(product(bigC(a,b,product(a,b)),product(X_19,c))))]]) ).

cnf(refute_0_13583,plain,
    ( product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))) != product(bigC(a,b,product(a,b)),product(X_19,c))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c)))) )],[refute_0_13581,refute_0_13582]) ).

cnf(refute_0_13584,plain,
    product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) = product(bigC(a,b,product(a,b)),product(X_19,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_19,bigC(a,b,c))),product(bigC(a,b,product(a,b)),product(X_19,c))) )],[refute_0_13577,refute_0_13583]) ).

cnf(refute_0_13585,plain,
    ( bigC(c,product(c,product(c,b)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))) != product(bigC(a,b,product(a,b)),product(X_19,c))
    | bigC(c,product(c,product(c,b)),X_19) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,product(c,b)),X_19),product(bigC(a,b,product(a,b)),product(X_19,c))) ),[0],$fot(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))))]]) ).

cnf(refute_0_13586,plain,
    ( bigC(c,product(c,product(c,b)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(c,product(c,product(c,b)),X_19) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c))),product(bigC(a,b,product(a,b)),product(X_19,c))) )],[refute_0_13584,refute_0_13585]) ).

cnf(refute_0_13587,plain,
    ( bigC(bigC(a,b,c),product(c,product(c,b)),X_19) != product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))
    | bigC(c,product(c,product(c,b)),X_19) = product(bigC(a,b,product(a,b)),product(X_19,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13569,refute_0_13586]) ).

cnf(refute_0_13588,plain,
    bigC(c,product(c,product(c,b)),X_19) = product(bigC(a,b,product(a,b)),product(X_19,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,product(c,b)),X_19),product(product(bigC(a,a,c),product(b,bigC(a,b,c))),product(X_19,bigC(a,b,c)))) )],[refute_0_13563,refute_0_13587]) ).

cnf(refute_0_13589,plain,
    ( bigC(c,product(c,product(c,b)),X_19) != product(bigC(a,b,product(a,b)),product(X_19,c))
    | product(bigC(a,b,product(a,b)),product(X_19,c)) = bigC(c,product(c,product(c,b)),X_19) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(c,product(c,b)),X_19))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(X_19,c))))]]) ).

cnf(refute_0_13590,plain,
    product(bigC(a,b,product(a,b)),product(X_19,c)) = bigC(c,product(c,product(c,b)),X_19),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),X_19),product(bigC(a,b,product(a,b)),product(X_19,c))) )],[refute_0_13588,refute_0_13589]) ).

cnf(refute_0_13591,plain,
    product(bigC(a,b,product(a,b)),product(X_25,c)) = bigC(c,product(c,product(c,b)),X_25),
    inference(subst,[],[refute_0_13590:[bind(X_19,$fot(X_25))]]) ).

cnf(refute_0_13592,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,c)) != bigC(c,product(c,product(c,b)),X_25)
    | product(bigC(a,b,product(a,b)),product(X_25,c)) != product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))
    | bigC(c,product(c,product(c,b)),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,c)),product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))) ),[0],$fot(bigC(c,product(c,product(c,b)),X_25))]]) ).

cnf(refute_0_13593,plain,
    ( product(bigC(a,b,product(a,b)),product(X_25,c)) != product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))
    | bigC(c,product(c,product(c,b)),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,c)),bigC(c,product(c,product(c,b)),X_25)) )],[refute_0_13591,refute_0_13592]) ).

cnf(refute_0_13594,plain,
    bigC(c,product(c,product(c,b)),X_25) = product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(X_25,c)),product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))) )],[refute_0_13541,refute_0_13593]) ).

cnf(refute_0_13595,plain,
    product(X_25,product(bigC(b,a,b),bigC(b,a,b))) = product(X_25,product(bigC(b,a,b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(X_25,product(bigC(b,a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_13596,plain,
    ( product(X_25,product(bigC(b,a,b),bigC(b,a,b))) != product(X_25,product(bigC(b,a,b),bigC(b,a,b)))
    | product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(X_25,product(bigC(b,a,b),bigC(b,a,b))) = product(X_25,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_25,product(bigC(b,a,b),bigC(b,a,b))),product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_13597,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(X_25,product(bigC(b,a,b),bigC(b,a,b))) = product(X_25,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(X_25,product(bigC(b,a,b),bigC(b,a,b))),product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) )],[refute_0_13595,refute_0_13596]) ).

cnf(refute_0_13598,plain,
    product(X_25,product(bigC(b,a,b),bigC(b,a,b))) = product(X_25,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,a,b)),bigC(b,a,b)) )],[refute_0_7760,refute_0_13597]) ).

cnf(refute_0_13599,plain,
    product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),
    introduced(tautology,[refl,[$fot(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))))]]) ).

cnf(refute_0_13600,plain,
    ( product(X_25,product(bigC(b,a,b),bigC(b,a,b))) != product(X_25,bigC(b,a,b))
    | product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))) ),[1,1],$fot(product(X_25,bigC(b,a,b)))]]) ).

cnf(refute_0_13601,plain,
    ( product(X_25,product(bigC(b,a,b),bigC(b,a,b))) != product(X_25,bigC(b,a,b))
    | product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))) )],[refute_0_13599,refute_0_13600]) ).

cnf(refute_0_13602,plain,
    product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(X_25,product(bigC(b,a,b),bigC(b,a,b))),product(X_25,bigC(b,a,b))) )],[refute_0_13598,refute_0_13601]) ).

cnf(refute_0_13603,plain,
    product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_26,$fot(product(bigC(b,a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_13604,plain,
    product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) = product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))),
    inference(subst,[],[refute_0_3431:[bind(A,$fot(c)),bind(C,$fot(X_25)),bind(X_65,$fot(c)),bind(X_66,$fot(bigC(b,a,b))),bind(X_67,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_13605,plain,
    ( product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) != product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))))),bind(Y,$fot(product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))))),bind(Z,$fot(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))))]]) ).

cnf(refute_0_13606,plain,
    ( product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))),product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b))))) )],[refute_0_13604,refute_0_13605]) ).

cnf(refute_0_13607,plain,
    product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),product(c,product(bigC(b,a,b),bigC(b,a,b)))),product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))) )],[refute_0_13603,refute_0_13606]) ).

cnf(refute_0_13608,plain,
    product(product(bigC(a,b,product(a,b)),B),product(c,D)) = product(product(bigC(a,b,product(a,b)),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(bigC(a,b,product(a,b)))),bind(C,$fot(c))]]) ).

cnf(refute_0_13609,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(b,a,b)))
    | product(product(bigC(a,b,product(a,b)),B),product(c,D)) != product(product(bigC(a,b,product(a,b)),c),product(B,D))
    | product(product(bigC(a,b,product(a,b)),B),product(c,D)) = product(product(c,product(c,bigC(b,a,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),B),product(c,D)),product(product(bigC(a,b,product(a,b)),c),product(B,D))) ),[1,0],$fot(product(c,product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_13610,plain,
    ( product(product(bigC(a,b,product(a,b)),B),product(c,D)) != product(product(bigC(a,b,product(a,b)),c),product(B,D))
    | product(product(bigC(a,b,product(a,b)),B),product(c,D)) = product(product(c,product(c,bigC(b,a,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),c),product(c,product(c,bigC(b,a,b)))) )],[refute_0_10923,refute_0_13609]) ).

cnf(refute_0_13611,plain,
    product(product(bigC(a,b,product(a,b)),B),product(c,D)) = product(product(c,product(c,bigC(b,a,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),B),product(c,D)),product(product(bigC(a,b,product(a,b)),c),product(B,D))) )],[refute_0_13608,refute_0_13610]) ).

cnf(refute_0_13612,plain,
    product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))),
    inference(subst,[],[refute_0_13611:[bind(B,$fot(X_25)),bind(D,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_13613,plain,
    ( product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) != product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b))))
    | product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))))),bind(Y,$fot(product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))))),bind(Z,$fot(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))))]]) ).

cnf(refute_0_13614,plain,
    ( product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))),product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b))))) )],[refute_0_13612,refute_0_13613]) ).

cnf(refute_0_13615,plain,
    product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,bigC(b,a,b))),product(X_25,product(c,bigC(b,a,b)))),product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))) )],[refute_0_13607,refute_0_13614]) ).

cnf(refute_0_13616,plain,
    ( product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) != product(c,product(X_25,bigC(b,a,b)))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) != product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))))),bind(Y,$fot(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))))),bind(Z,$fot(product(c,product(X_25,bigC(b,a,b)))))]]) ).

cnf(refute_0_13617,plain,
    ( product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))) != product(c,product(X_25,bigC(b,a,b)))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))),product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b))))) )],[refute_0_13615,refute_0_13616]) ).

cnf(refute_0_13618,plain,
    product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) = product(c,product(X_25,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(bigC(b,a,b),bigC(b,a,b)))),product(c,product(X_25,bigC(b,a,b)))) )],[refute_0_13602,refute_0_13617]) ).

cnf(refute_0_13619,plain,
    ( bigC(c,product(c,product(c,b)),X_25) != product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))
    | product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))) != product(c,product(X_25,bigC(b,a,b)))
    | bigC(c,product(c,product(c,b)),X_25) = product(c,product(X_25,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,product(c,b)),X_25),product(c,product(X_25,bigC(b,a,b)))) ),[0],$fot(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_13620,plain,
    ( bigC(c,product(c,product(c,b)),X_25) != product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))
    | bigC(c,product(c,product(c,b)),X_25) = product(c,product(X_25,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b)))),product(c,product(X_25,bigC(b,a,b)))) )],[refute_0_13618,refute_0_13619]) ).

cnf(refute_0_13621,plain,
    bigC(c,product(c,product(c,b)),X_25) = product(c,product(X_25,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),X_25),product(product(bigC(a,b,product(a,b)),X_25),product(c,product(c,bigC(b,a,b))))) )],[refute_0_13594,refute_0_13620]) ).

cnf(refute_0_13622,plain,
    bigC(c,product(c,product(c,b)),product(a,product(a,c))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))),
    inference(subst,[],[refute_0_13621:[bind(X_25,$fot(product(a,product(a,c))))]]) ).

cnf(refute_0_13623,plain,
    bigC(product(c,product(c,b)),a,product(c,product(c,b))) = bigC(c,product(c,product(c,b)),product(a,product(a,c))),
    inference(subst,[],[refute_0_13463:[bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_13624,plain,
    ( bigC(c,product(c,product(c,b)),product(a,product(a,c))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | bigC(product(c,product(c,b)),a,product(c,product(c,b))) != bigC(c,product(c,product(c,b)),product(a,product(a,c)))
    | bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,b)),a,product(c,product(c,b))))),bind(Y,$fot(bigC(c,product(c,product(c,b)),product(a,product(a,c))))),bind(Z,$fot(product(c,product(product(a,product(a,c)),bigC(b,a,b)))))]]) ).

cnf(refute_0_13625,plain,
    ( bigC(c,product(c,product(c,b)),product(a,product(a,c))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,product(c,product(c,b))),bigC(c,product(c,product(c,b)),product(a,product(a,c)))) )],[refute_0_13623,refute_0_13624]) ).

cnf(refute_0_13626,plain,
    bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(product(a,product(a,c)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),product(a,product(a,c))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) )],[refute_0_13622,refute_0_13625]) ).

cnf(refute_0_13627,plain,
    ( bigC(product(c,product(c,b)),a,product(c,product(c,b))) != product(c,product(product(a,product(a,c)),bigC(b,a,b)))
    | product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,product(a,bigC(b,b,c)))
    | bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,product(c,b)),a,product(c,product(c,b))))),bind(Y,$fot(product(c,product(product(a,product(a,c)),bigC(b,a,b))))),bind(Z,$fot(product(c,product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_13628,plain,
    ( product(c,product(product(a,product(a,c)),bigC(b,a,b))) != product(c,product(a,bigC(b,b,c)))
    | bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(product(a,product(a,c)),bigC(b,a,b)))) )],[refute_0_13626,refute_0_13627]) ).

cnf(refute_0_13629,plain,
    bigC(product(c,product(c,b)),a,product(c,product(c,b))) = product(c,product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),bigC(b,a,b))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13537,refute_0_13628]) ).

cnf(refute_0_13630,plain,
    product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))))]]) ).

cnf(refute_0_13631,plain,
    ( bigC(product(c,product(c,b)),a,product(c,product(c,b))) != product(c,product(a,bigC(b,b,c)))
    | product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) != product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b)))
    | product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b)))) ),[1,0],$fot(product(c,product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_13632,plain,
    ( bigC(product(c,product(c,b)),a,product(c,product(c,b))) != product(c,product(a,bigC(b,b,c)))
    | product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_13630,refute_0_13631]) ).

cnf(refute_0_13633,plain,
    product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(a,bigC(b,b,c)))) )],[refute_0_13629,refute_0_13632]) ).

cnf(refute_0_13634,plain,
    ( product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b)))
    | product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))))),bind(Y,$fot(product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13635,plain,
    ( product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b)))) )],[refute_0_13633,refute_0_13634]) ).

cnf(refute_0_13636,plain,
    product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,bigC(b,b,c))),product(c,product(c,b))),product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13526,refute_0_13635]) ).

cnf(refute_0_13637,plain,
    product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) = product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_12914:[bind(X_24,$fot(product(c,product(c,b)))),bind(X_25,$fot(a)),bind(X_26,$fot(product(c,b))),bind(X_97,$fot(c))]]) ).

cnf(refute_0_13638,plain,
    ( product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) != product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b)))
    | product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))))),bind(Y,$fot(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))))]]) ).

cnf(refute_0_13639,plain,
    ( product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_13637,refute_0_13638]) ).

cnf(refute_0_13640,plain,
    product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) = product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,product(c,b)),a,product(c,product(c,b))),product(c,product(c,b))),product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13636,refute_0_13639]) ).

cnf(refute_0_13641,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),
    introduced(tautology,[refl,[$fot(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))))]]) ).

cnf(refute_0_13642,plain,
    ( product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))) ),[1,0],$fot(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_13643,plain,
    ( product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))) != product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))) )],[refute_0_13641,refute_0_13642]) ).

cnf(refute_0_13644,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(bigC(a,a,b),product(c,product(bigC(b,b,c),b)))) )],[refute_0_13640,refute_0_13643]) ).

cnf(refute_0_13645,plain,
    ( product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))))),bind(Z,$fot(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))))]]) ).

cnf(refute_0_13646,plain,
    ( product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))) )],[refute_0_13644,refute_0_13645]) ).

cnf(refute_0_13647,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))) )],[refute_0_13087,refute_0_13646]) ).

cnf(refute_0_13648,plain,
    ( product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))))),bind(Z,$fot(product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))]]) ).

cnf(refute_0_13649,plain,
    ( product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))) != product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c))))) )],[refute_0_13647,refute_0_13648]) ).

cnf(refute_0_13650,plain,
    product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) = product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,product(bigC(b,b,c),b))),product(c,bigC(b,product(c,a),bigC(b,b,c)))),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) )],[refute_0_12817,refute_0_13649]) ).

cnf(refute_0_13651,plain,
    ( product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(c,product(c,b))
    | product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))
    | product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(c,product(c,b))) ),[0],$fot(product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))]]) ).

cnf(refute_0_13652,plain,
    ( product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) != product(c,product(c,b))
    | product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) )],[refute_0_13650,refute_0_13651]) ).

cnf(refute_0_13653,plain,
    product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(c,product(c,b)),product(c,product(c,b)),a),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))),product(c,product(c,b))) )],[refute_0_12758,refute_0_13652]) ).

cnf(refute_0_13654,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))
    | product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) != product(c,product(c,b))
    | difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))) ),[1,1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13655,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))
    | difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))),product(c,product(c,b))) )],[refute_0_13653,refute_0_13654]) ).

cnf(refute_0_13656,plain,
    difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))) )],[refute_0_12754,refute_0_13655]) ).

cnf(refute_0_13657,plain,
    product(product(b,a),bigC(b,a,b)) = bigC(b,a,product(b,a)),
    inference(subst,[],[refute_0_1691:[bind(A,$fot(b)),bind(B,$fot(a)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_13658,plain,
    product(a,product(product(b,a),bigC(b,a,b))) = product(a,product(product(b,a),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,a),bigC(b,a,b))))]]) ).

cnf(refute_0_13659,plain,
    ( product(a,product(product(b,a),bigC(b,a,b))) != product(a,product(product(b,a),bigC(b,a,b)))
    | product(product(b,a),bigC(b,a,b)) != bigC(b,a,product(b,a))
    | product(a,product(product(b,a),bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,a),bigC(b,a,b))),product(a,product(product(b,a),bigC(b,a,b)))) ),[1,1],$fot(bigC(b,a,product(b,a)))]]) ).

cnf(refute_0_13660,plain,
    ( product(product(b,a),bigC(b,a,b)) != bigC(b,a,product(b,a))
    | product(a,product(product(b,a),bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),bigC(b,a,b))),product(a,product(product(b,a),bigC(b,a,b)))) )],[refute_0_13658,refute_0_13659]) ).

cnf(refute_0_13661,plain,
    product(a,product(product(b,a),bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(b,a,b)),bigC(b,a,product(b,a))) )],[refute_0_13657,refute_0_13660]) ).

cnf(refute_0_13662,plain,
    product(bigC(a,a,b),product(a,bigC(b,a,b))) = product(a,product(product(b,a),bigC(b,a,b))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(b)),bind(X_65,$fot(a)),bind(X_67,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_13663,plain,
    ( product(a,product(product(b,a),bigC(b,a,b))) != product(a,bigC(b,a,product(b,a)))
    | product(bigC(a,a,b),product(a,bigC(b,a,b))) != product(a,product(product(b,a),bigC(b,a,b)))
    | product(bigC(a,a,b),product(a,bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(a,bigC(b,a,b))))),bind(Y,$fot(product(a,product(product(b,a),bigC(b,a,b))))),bind(Z,$fot(product(a,bigC(b,a,product(b,a)))))]]) ).

cnf(refute_0_13664,plain,
    ( product(a,product(product(b,a),bigC(b,a,b))) != product(a,bigC(b,a,product(b,a)))
    | product(bigC(a,a,b),product(a,bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,bigC(b,a,b))),product(a,product(product(b,a),bigC(b,a,b)))) )],[refute_0_13662,refute_0_13663]) ).

cnf(refute_0_13665,plain,
    product(bigC(a,a,b),product(a,bigC(b,a,b))) = product(a,bigC(b,a,product(b,a))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),bigC(b,a,b))),product(a,bigC(b,a,product(b,a)))) )],[refute_0_13661,refute_0_13664]) ).

cnf(refute_0_13666,plain,
    product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) = product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c))]]) ).

cnf(refute_0_13667,plain,
    ( product(bigC(a,a,b),product(a,bigC(b,a,b))) != product(a,bigC(b,a,product(b,a)))
    | product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) != product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c)
    | product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) = product(product(a,bigC(b,a,product(b,a))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c),product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c)) ),[1,0],$fot(product(a,bigC(b,a,product(b,a))))]]) ).

cnf(refute_0_13668,plain,
    ( product(bigC(a,a,b),product(a,bigC(b,a,b))) != product(a,bigC(b,a,product(b,a)))
    | product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c),product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c)) )],[refute_0_13666,refute_0_13667]) ).

cnf(refute_0_13669,plain,
    product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,bigC(b,a,b))),product(a,bigC(b,a,product(b,a)))) )],[refute_0_13665,refute_0_13668]) ).

cnf(refute_0_13670,plain,
    product(product(X_23,product(a,bigC(b,a,b))),c) = product(product(X_23,c),product(product(a,bigC(b,a,b)),c)),
    inference(subst,[],[refute_0_208:[bind(X_24,$fot(product(a,bigC(b,a,b)))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_13671,plain,
    difference(a,product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) = product(product(a,product(b,c)),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(a,product(b,c)),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_13672,plain,
    difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),
    inference(subst,[],[refute_0_2084:[bind(X_18,$fot(bigC(a,c,product(a,c)))),bind(X_30,$fot(product(a,product(a,product(b,c)))))]]) ).

cnf(refute_0_13673,plain,
    product(product(a,product(product(a,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))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(subst,[],[refute_0_42:[bind(A,$fot(a)),bind(X_18,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_13674,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | product(product(a,product(product(a,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))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),[0,0,1,0],$fot(product(a,c))]]) ).

cnf(refute_0_13675,plain,
    ( product(product(a,product(product(a,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))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_13674]) ).

cnf(refute_0_13676,plain,
    product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,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))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13673,refute_0_13675]) ).

cnf(refute_0_13677,plain,
    bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)) = bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(a,c))),bind(C,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_13678,plain,
    bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    introduced(tautology,[refl,[$fot(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_13679,plain,
    ( bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,2],$fot(product(a,c))]]) ).

cnf(refute_0_13680,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13678,refute_0_13679]) ).

cnf(refute_0_13681,plain,
    bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_13680]) ).

cnf(refute_0_13682,plain,
    ( bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)) != bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c))
    | bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))),bind(Y,$fot(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)))),bind(Z,$fot(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_13683,plain,
    ( bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)) != bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c))) )],[refute_0_13681,refute_0_13682]) ).

cnf(refute_0_13684,plain,
    bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13677,refute_0_13683]) ).

cnf(refute_0_13685,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))))]]) ).

cnf(refute_0_13686,plain,
    ( bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))) ),[1,1],$fot(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_13687,plain,
    ( bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))) )],[refute_0_13685,refute_0_13686]) ).

cnf(refute_0_13688,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    inference(resolve,[$cnf( $equal(bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13684,refute_0_13687]) ).

cnf(refute_0_13689,plain,
    product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,X_25),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(a)),bind(X_26,$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_13690,plain,
    ( product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,X_25),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,X_25),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,X_25),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_13691,plain,
    ( product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,X_25),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,X_25),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_13690]) ).

cnf(refute_0_13692,plain,
    product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,X_25),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,X_25),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13689,refute_0_13691]) ).

cnf(refute_0_13693,plain,
    product(product(a,X_25),product(a,c)) = product(a,product(X_25,c)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_13694,plain,
    ( product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,X_25),product(a,c))
    | product(product(a,X_25),product(a,c)) != product(a,product(X_25,c))
    | product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(X_25,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,product(X_25,c))) ),[0],$fot(product(product(a,X_25),product(a,c)))]]) ).

cnf(refute_0_13695,plain,
    ( product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,X_25),product(a,c))
    | product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(X_25,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_25),product(a,c)),product(a,product(X_25,c))) )],[refute_0_13693,refute_0_13694]) ).

cnf(refute_0_13696,plain,
    product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(X_25,c)),
    inference(resolve,[$cnf( $equal(product(a,product(X_25,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,X_25),product(a,c))) )],[refute_0_13692,refute_0_13695]) ).

cnf(refute_0_13697,plain,
    product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(product(a,c),c)),
    inference(subst,[],[refute_0_13696:[bind(X_25,$fot(product(a,c)))]]) ).

cnf(refute_0_13698,plain,
    product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))))]]) ).

cnf(refute_0_13699,plain,
    ( product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,product(product(a,c),c))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))) ),[1,0],$fot(product(a,product(product(a,c),c)))]]) ).

cnf(refute_0_13700,plain,
    ( product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,product(product(a,c),c))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))) )],[refute_0_13698,refute_0_13699]) ).

cnf(refute_0_13701,plain,
    product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,product(product(a,c),c))) )],[refute_0_13697,refute_0_13700]) ).

cnf(refute_0_13702,plain,
    ( product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))))),bind(Y,$fot(product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))))),bind(Z,$fot(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))))]]) ).

cnf(refute_0_13703,plain,
    ( product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))) )],[refute_0_13701,refute_0_13702]) ).

cnf(refute_0_13704,plain,
    product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13688,refute_0_13703]) ).

cnf(refute_0_13705,plain,
    ( product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),[0],$fot(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_13706,plain,
    ( product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13704,refute_0_13705]) ).

cnf(refute_0_13707,plain,
    ( product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != product(a,c)
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_13708,plain,
    ( product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),product(a,c)) )],[refute_0_717,refute_0_13707]) ).

cnf(refute_0_13709,plain,
    ( product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) != product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13706,refute_0_13708]) ).

cnf(refute_0_13710,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),bigC(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),product(a,product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13676,refute_0_13709]) ).

cnf(refute_0_13711,plain,
    bigC(a,product(a,c),c) = bigC(a,c,product(a,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_13712,plain,
    bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_13713,plain,
    ( bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != bigC(a,product(a,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
    | bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_13714,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) )],[refute_0_13712,refute_0_13713]) ).

cnf(refute_0_13715,plain,
    bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),c) )],[refute_0_730,refute_0_13714]) ).

cnf(refute_0_13716,plain,
    ( bigC(a,product(a,c),c) != bigC(a,c,product(a,c))
    | bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != bigC(a,product(a,c),c)
    | bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,c,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))),bind(Y,$fot(bigC(a,product(a,c),c))),bind(Z,$fot(bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_13717,plain,
    ( bigC(a,product(a,c),c) != bigC(a,c,product(a,c))
    | bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),bigC(a,product(a,c),c)) )],[refute_0_13715,refute_0_13716]) ).

cnf(refute_0_13718,plain,
    bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) = bigC(a,c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),c),bigC(a,c,product(a,c))) )],[refute_0_13711,refute_0_13717]) ).

cnf(refute_0_13719,plain,
    product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_13720,plain,
    ( bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != bigC(a,c,product(a,c))
    | product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,1],$fot(bigC(a,c,product(a,c)))]]) ).

cnf(refute_0_13721,plain,
    ( bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) != bigC(a,c,product(a,c))
    | product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13719,refute_0_13720]) ).

cnf(refute_0_13722,plain,
    product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))),bigC(a,c,product(a,c))) )],[refute_0_13718,refute_0_13721]) ).

cnf(refute_0_13723,plain,
    product(a,product(product(a,c),c)) = product(a,product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(a,product(product(a,c),c)))]]) ).

cnf(refute_0_13724,plain,
    ( product(a,product(product(a,c),c)) != product(a,product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | product(a,product(product(a,c),c)) = product(a,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(a,c),c)),product(a,product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13725,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(a,product(product(a,c),c)) = product(a,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,c),c)),product(a,product(product(a,c),c))) )],[refute_0_13723,refute_0_13724]) ).

cnf(refute_0_13726,plain,
    product(a,product(product(a,c),c)) = product(a,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_5589,refute_0_13725]) ).

cnf(refute_0_13727,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_13728,plain,
    ( product(a,product(product(a,c),c)) != product(a,product(a,product(b,c)))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) ),[1,0],$fot(product(a,product(a,product(b,c))))]]) ).

cnf(refute_0_13729,plain,
    ( product(a,product(product(a,c),c)) != product(a,product(a,product(b,c)))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13727,refute_0_13728]) ).

cnf(refute_0_13730,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,c),c)),product(a,product(a,product(b,c)))) )],[refute_0_13726,refute_0_13729]) ).

cnf(refute_0_13731,plain,
    ( product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))))),bind(Z,$fot(product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))]]) ).

cnf(refute_0_13732,plain,
    ( product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))))) )],[refute_0_13730,refute_0_13731]) ).

cnf(refute_0_13733,plain,
    product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) = product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) )],[refute_0_13722,refute_0_13732]) ).

cnf(refute_0_13734,plain,
    ( product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,c)
    | product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))
    | product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,c)) ),[0],$fot(product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_13735,plain,
    ( product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))) != product(a,c)
    | product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) )],[refute_0_13733,refute_0_13734]) ).

cnf(refute_0_13736,plain,
    product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(a,c),c)),bigC(a,product(a,c),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))),product(a,c)) )],[refute_0_13710,refute_0_13735]) ).

cnf(refute_0_13737,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))
    | product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) != product(a,c)
    | difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))) ),[1,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_13738,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))
    | difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))),product(a,c)) )],[refute_0_13736,refute_0_13737]) ).

cnf(refute_0_13739,plain,
    difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))) )],[refute_0_13672,refute_0_13738]) ).

cnf(refute_0_13740,plain,
    product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(a,product(b,c)))),bind(X_26,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_13741,plain,
    product(product(a,a),bigC(a,b,product(a,b))) = product(product(a,a),bigC(a,b,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,a),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_13742,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(a,b,product(a,b))) != product(product(a,a),bigC(a,b,product(a,b)))
    | product(product(a,a),bigC(a,b,product(a,b))) = product(a,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),bigC(a,b,product(a,b))),product(product(a,a),bigC(a,b,product(a,b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_13743,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(a,b,product(a,b))) = product(a,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(a,b,product(a,b))),product(product(a,a),bigC(a,b,product(a,b)))) )],[refute_0_13741,refute_0_13742]) ).

cnf(refute_0_13744,plain,
    product(product(a,a),bigC(a,b,product(a,b))) = product(a,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_13743]) ).

cnf(refute_0_13745,plain,
    product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,product(b,c)))),bind(D,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13746,plain,
    bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(product(product(a,product(b,c)),bigC(b,a,b)),product(a,product(b,c))),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(a,product(b,c)))),bind(X_18,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_13747,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(product(product(a,product(b,c)),bigC(b,a,b)),product(a,product(b,c)))
    | product(product(a,product(b,c)),bigC(b,a,b)) != product(c,product(c,b))
    | bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(product(c,product(c,b)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(product(product(a,product(b,c)),bigC(b,a,b)),product(a,product(b,c)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_13748,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(product(product(a,product(b,c)),bigC(b,a,b)),product(a,product(b,c)))
    | bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(product(c,product(c,b)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(c,product(c,b))) )],[refute_0_7699,refute_0_13747]) ).

cnf(refute_0_13749,plain,
    bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(product(c,product(c,b)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(product(product(a,product(b,c)),bigC(b,a,b)),product(a,product(b,c)))) )],[refute_0_13746,refute_0_13748]) ).

cnf(refute_0_13750,plain,
    product(bigC(b,a,b),product(b,c)) = bigC(c,product(b,c),b),
    inference(subst,[],[refute_0_12835:[bind(X_19,$fot(b))]]) ).

cnf(refute_0_13751,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(bigC(b,a,b),product(b,c)) != bigC(c,product(b,c),b)
    | product(bigC(b,a,b),product(b,c)) = bigC(c,b,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(b,c)))),bind(Y,$fot(bigC(c,product(b,c),b))),bind(Z,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13752,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(bigC(b,a,b),product(b,c)) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,c)),bigC(c,product(b,c),b)) )],[refute_0_13750,refute_0_13751]) ).

cnf(refute_0_13753,plain,
    product(bigC(b,a,b),product(b,c)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),b),bigC(c,b,product(b,c))) )],[refute_0_8952,refute_0_13752]) ).

cnf(refute_0_13754,plain,
    product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))))]]) ).

cnf(refute_0_13755,plain,
    ( product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c)))
    | product(bigC(b,a,b),product(b,c)) != bigC(c,b,product(b,c))
    | product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))),product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_13756,plain,
    ( product(bigC(b,a,b),product(b,c)) != bigC(c,b,product(b,c))
    | product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))),product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c)))) )],[refute_0_13754,refute_0_13755]) ).

cnf(refute_0_13757,plain,
    product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,c)),bigC(c,b,product(b,c))) )],[refute_0_13753,refute_0_13756]) ).

cnf(refute_0_13758,plain,
    bigC(a,product(b,c),a) = bigC(a,a,product(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_13759,plain,
    product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))))]]) ).

cnf(refute_0_13760,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) != product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c)))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c)))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_13761,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c)))) )],[refute_0_13759,refute_0_13760]) ).

cnf(refute_0_13762,plain,
    product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),a),bigC(a,a,product(b,c))) )],[refute_0_13758,refute_0_13761]) ).

cnf(refute_0_13763,plain,
    ( product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c)))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))))),bind(Z,$fot(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13764,plain,
    ( product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c)))) )],[refute_0_13762,refute_0_13763]) ).

cnf(refute_0_13765,plain,
    product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(bigC(b,a,b),product(b,c))),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))) )],[refute_0_13757,refute_0_13764]) ).

cnf(refute_0_13766,plain,
    bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(bigC(b,a,b))),bind(X_25,$fot(a)),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_13767,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c)))
    | product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))
    | bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))))),bind(Z,$fot(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13768,plain,
    ( product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))) != product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))
    | bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c)))) )],[refute_0_13766,refute_0_13767]) ).

cnf(refute_0_13769,plain,
    bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) = product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(bigC(b,a,b),product(b,c))),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))) )],[refute_0_13765,refute_0_13768]) ).

cnf(refute_0_13770,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))
    | bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(product(c,product(c,b)),product(a,product(b,c)))
    | product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = product(product(c,product(c,b)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(product(c,product(c,b)),product(a,product(b,c)))) ),[0],$fot(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13771,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(product(c,product(c,b)),product(a,product(b,c)))
    | product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = product(product(c,product(c,b)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c)))) )],[refute_0_13769,refute_0_13770]) ).

cnf(refute_0_13772,plain,
    bigC(c,product(c,b),product(a,c)) = bigC(c,product(a,c),product(c,b)),
    inference(subst,[],[refute_0_1711:[bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_13773,plain,
    ( bigC(c,product(a,c),product(c,b)) != bigC(b,a,product(a,b))
    | bigC(c,product(c,b),product(a,c)) != bigC(c,product(a,c),product(c,b))
    | bigC(c,product(c,b),product(a,c)) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,b),product(a,c)))),bind(Y,$fot(bigC(c,product(a,c),product(c,b)))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_13774,plain,
    ( bigC(c,product(a,c),product(c,b)) != bigC(b,a,product(a,b))
    | bigC(c,product(c,b),product(a,c)) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(a,c)),bigC(c,product(a,c),product(c,b))) )],[refute_0_13772,refute_0_13773]) ).

cnf(refute_0_13775,plain,
    bigC(c,product(c,b),product(a,c)) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(c,b)),bigC(b,a,product(a,b))) )],[refute_0_1483,refute_0_13774]) ).

cnf(refute_0_13776,plain,
    product(product(c,product(c,b)),product(a,product(b,c))) = bigC(c,product(c,b),product(a,c)),
    inference(subst,[],[refute_0_9084:[bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_13777,plain,
    ( bigC(c,product(c,b),product(a,c)) != bigC(b,a,product(a,b))
    | product(product(c,product(c,b)),product(a,product(b,c))) != bigC(c,product(c,b),product(a,c))
    | product(product(c,product(c,b)),product(a,product(b,c))) = bigC(b,a,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(a,product(b,c))))),bind(Y,$fot(bigC(c,product(c,b),product(a,c)))),bind(Z,$fot(bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_13778,plain,
    ( bigC(c,product(c,b),product(a,c)) != bigC(b,a,product(a,b))
    | product(product(c,product(c,b)),product(a,product(b,c))) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,product(b,c))),bigC(c,product(c,b),product(a,c))) )],[refute_0_13776,refute_0_13777]) ).

cnf(refute_0_13779,plain,
    product(product(c,product(c,b)),product(a,product(b,c))) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(a,c)),bigC(b,a,product(a,b))) )],[refute_0_13775,refute_0_13778]) ).

cnf(refute_0_13780,plain,
    ( product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) != product(product(c,product(c,b)),product(a,product(b,c)))
    | product(product(c,product(c,b)),product(a,product(b,c))) != bigC(b,a,product(a,b))
    | product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = bigC(b,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),bigC(b,a,product(a,b))) ),[0],$fot(product(product(c,product(c,b)),product(a,product(b,c))))]]) ).

cnf(refute_0_13781,plain,
    ( product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) != product(product(c,product(c,b)),product(a,product(b,c)))
    | product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,product(b,c))),bigC(b,a,product(a,b))) )],[refute_0_13779,refute_0_13780]) ).

cnf(refute_0_13782,plain,
    ( bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))) != product(product(c,product(c,b)),product(a,product(b,c)))
    | product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = bigC(b,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),product(product(c,product(c,b)),product(a,product(b,c)))) )],[refute_0_13771,refute_0_13781]) ).

cnf(refute_0_13783,plain,
    product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) = bigC(b,a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(b,a,b),product(a,product(b,c))),product(product(c,product(c,b)),product(a,product(b,c)))) )],[refute_0_13749,refute_0_13782]) ).

cnf(refute_0_13784,plain,
    ( product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))) != bigC(b,a,product(a,b))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,C),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_13785,plain,
    ( product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))),bigC(b,a,product(a,b))) )],[refute_0_13783,refute_0_13784]) ).

cnf(refute_0_13786,plain,
    product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,C),product(bigC(a,a,product(b,c)),bigC(c,b,product(b,c))))) )],[refute_0_13745,refute_0_13785]) ).

cnf(refute_0_13787,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_13788,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,b,product(c,a))
    | 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,b,product(c,a))) ),
    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,b,product(c,a)))]]) ).

cnf(refute_0_13789,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,b,product(c,a))
    | product(C,bigC(c,b,product(b,c))) = product(C,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,product(b,c))),product(C,bigC(c,b,product(b,c)))) )],[refute_0_13787,refute_0_13788]) ).

cnf(refute_0_13790,plain,
    product(C,bigC(c,b,product(b,c))) = product(C,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_9001,refute_0_13789]) ).

cnf(refute_0_13791,plain,
    product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13792,plain,
    ( product(C,bigC(c,b,product(b,c))) != product(C,bigC(b,b,product(c,a)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c))))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c))))) ),[1,1],$fot(product(C,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13793,plain,
    ( product(C,bigC(c,b,product(b,c))) != product(C,bigC(b,b,product(c,a)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c))))) )],[refute_0_13791,refute_0_13792]) ).

cnf(refute_0_13794,plain,
    product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) = product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,product(b,c))),product(C,bigC(b,b,product(c,a)))) )],[refute_0_13790,refute_0_13793]) ).

cnf(refute_0_13795,plain,
    ( product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a))))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,C),bigC(b,a,product(a,b)))) ),[0],$fot(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_13796,plain,
    ( product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a))))) )],[refute_0_13794,refute_0_13795]) ).

cnf(refute_0_13797,plain,
    product(product(A,C),bigC(b,a,product(a,b))) = product(product(A,C),bigC(b,a,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(b,a,product(a,b))))]]) ).

cnf(refute_0_13798,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(product(A,C),bigC(b,a,product(a,b))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,C),bigC(b,a,product(a,b))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(b,a,product(a,b))),product(product(A,C),bigC(b,a,product(a,b)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_13799,plain,
    ( bigC(b,a,product(a,b)) != bigC(a,b,product(a,b))
    | product(product(A,C),bigC(b,a,product(a,b))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(b,a,product(a,b))),product(product(A,C),bigC(b,a,product(a,b)))) )],[refute_0_13797,refute_0_13798]) ).

cnf(refute_0_13800,plain,
    product(product(A,C),bigC(b,a,product(a,b))) = product(product(A,C),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_6594,refute_0_13799]) ).

cnf(refute_0_13801,plain,
    ( product(product(A,C),bigC(b,a,product(a,b))) != product(product(A,C),bigC(a,b,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))),product(product(A,C),bigC(b,a,product(a,b)))) ),[1],$fot(product(product(A,C),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_13802,plain,
    ( product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(b,a,product(a,b))),product(product(A,C),bigC(a,b,product(a,b)))) )],[refute_0_13800,refute_0_13801]) ).

cnf(refute_0_13803,plain,
    ( product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))),product(product(A,C),bigC(b,a,product(a,b)))) )],[refute_0_13796,refute_0_13802]) ).

cnf(refute_0_13804,plain,
    product(product(A,bigC(a,a,product(b,c))),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,product(b,c))),product(C,bigC(c,b,product(b,c)))),product(product(A,C),bigC(b,a,product(a,b)))) )],[refute_0_13786,refute_0_13803]) ).

cnf(refute_0_13805,plain,
    product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) = product(product(a,a),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_13804:[bind(A,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_13806,plain,
    ( product(product(a,a),bigC(a,b,product(a,b))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) != product(product(a,a),bigC(a,b,product(a,b)))
    | product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) = product(a,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(a,a),bigC(a,b,product(a,b))))),bind(Z,$fot(product(a,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_13807,plain,
    ( product(product(a,a),bigC(a,b,product(a,b))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) = product(a,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))),product(product(a,a),bigC(a,b,product(a,b)))) )],[refute_0_13805,refute_0_13806]) ).

cnf(refute_0_13808,plain,
    product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) = product(a,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(a,b,product(a,b))),product(a,bigC(a,b,product(a,b)))) )],[refute_0_13744,refute_0_13807]) ).

cnf(refute_0_13809,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(product(a,bigC(b,c,c)))),bind(X_22,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_13810,plain,
    quotient(product(bigC(a,a,c),product(product(c,a),b)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) = product(a,product(b,c)),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(a,product(b,c)))),bind(X_8,$fot(product(bigC(a,a,c),product(product(c,a),b))))]]) ).

cnf(refute_0_13811,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) != product(a,product(c,b))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) != product(a,product(b,c))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))),product(a,product(b,c))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_13812,plain,
    ( quotient(product(bigC(a,a,c),product(product(c,a),b)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))) != product(a,product(b,c))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),product(a,product(c,b))) )],[refute_0_13359,refute_0_13811]) ).

cnf(refute_0_13813,plain,
    quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b)))),product(a,product(b,c))) )],[refute_0_13810,refute_0_13812]) ).

cnf(refute_0_13814,plain,
    quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))))]]) ).

cnf(refute_0_13815,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) != quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b)))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b)))) ),[1,0],$fot(product(a,bigC(b,c,c)))]]) ).

cnf(refute_0_13816,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b)))) )],[refute_0_13814,refute_0_13815]) ).

cnf(refute_0_13817,plain,
    quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) = quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(a,bigC(b,c,c))) )],[refute_0_13375,refute_0_13816]) ).

cnf(refute_0_13818,plain,
    ( quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) != product(a,product(b,c))
    | quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) != quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),product(a,product(b,c))) ),[0],$fot(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))]]) ).

cnf(refute_0_13819,plain,
    ( quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))) != product(a,product(b,c))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) )],[refute_0_13817,refute_0_13818]) ).

cnf(refute_0_13820,plain,
    quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(c,a),b)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13813,refute_0_13819]) ).

cnf(refute_0_13821,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[0,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13822,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13820,refute_0_13821]) ).

cnf(refute_0_13823,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13809,refute_0_13822]) ).

cnf(refute_0_13824,plain,
    product(bigC(b,b,c),bigC(c,c,b)) = product(product(b,c),bigC(c,b,b)),
    inference(subst,[],[refute_0_582:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_13825,plain,
    product(product(b,product(c,b)),bigC(c,c,b)) = product(bigC(b,b,c),bigC(c,c,b)),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_13826,plain,
    ( product(bigC(b,b,c),bigC(c,c,b)) != product(product(b,c),bigC(c,b,b))
    | product(product(b,product(c,b)),bigC(c,c,b)) != product(bigC(b,b,c),bigC(c,c,b))
    | product(product(b,product(c,b)),bigC(c,c,b)) = product(product(b,c),bigC(c,b,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(c,b)),bigC(c,c,b)))),bind(Y,$fot(product(bigC(b,b,c),bigC(c,c,b)))),bind(Z,$fot(product(product(b,c),bigC(c,b,b))))]]) ).

cnf(refute_0_13827,plain,
    ( product(bigC(b,b,c),bigC(c,c,b)) != product(product(b,c),bigC(c,b,b))
    | product(product(b,product(c,b)),bigC(c,c,b)) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,b)),bigC(c,c,b)),product(bigC(b,b,c),bigC(c,c,b))) )],[refute_0_13825,refute_0_13826]) ).

cnf(refute_0_13828,plain,
    product(product(b,product(c,b)),bigC(c,c,b)) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(c,c,b)),product(product(b,c),bigC(c,b,b))) )],[refute_0_13824,refute_0_13827]) ).

cnf(refute_0_13829,plain,
    bigC(product(b,c),product(b,c),product(c,b)) = product(product(b,product(c,b)),bigC(c,c,b)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(c,b))),bind(X_65,$fot(b)),bind(X_66,$fot(c)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_13830,plain,
    ( bigC(product(b,c),product(b,c),product(c,b)) != product(product(b,product(c,b)),bigC(c,c,b))
    | product(product(b,product(c,b)),bigC(c,c,b)) != product(product(b,c),bigC(c,b,b))
    | bigC(product(b,c),product(b,c),product(c,b)) = product(product(b,c),bigC(c,b,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),product(b,c),product(c,b)))),bind(Y,$fot(product(product(b,product(c,b)),bigC(c,c,b)))),bind(Z,$fot(product(product(b,c),bigC(c,b,b))))]]) ).

cnf(refute_0_13831,plain,
    ( product(product(b,product(c,b)),bigC(c,c,b)) != product(product(b,c),bigC(c,b,b))
    | bigC(product(b,c),product(b,c),product(c,b)) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(c,b)),product(product(b,product(c,b)),bigC(c,c,b))) )],[refute_0_13829,refute_0_13830]) ).

cnf(refute_0_13832,plain,
    bigC(product(b,c),product(b,c),product(c,b)) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,b)),bigC(c,c,b)),product(product(b,c),bigC(c,b,b))) )],[refute_0_13828,refute_0_13831]) ).

cnf(refute_0_13833,plain,
    product(a,bigC(product(b,c),product(b,c),product(c,b))) = product(a,bigC(product(b,c),product(b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(a,bigC(product(b,c),product(b,c),product(c,b))))]]) ).

cnf(refute_0_13834,plain,
    ( bigC(product(b,c),product(b,c),product(c,b)) != product(product(b,c),bigC(c,b,b))
    | product(a,bigC(product(b,c),product(b,c),product(c,b))) != product(a,bigC(product(b,c),product(b,c),product(c,b)))
    | product(a,bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(product(b,c),product(b,c),product(c,b))),product(a,bigC(product(b,c),product(b,c),product(c,b)))) ),[1,1],$fot(product(product(b,c),bigC(c,b,b)))]]) ).

cnf(refute_0_13835,plain,
    ( bigC(product(b,c),product(b,c),product(c,b)) != product(product(b,c),bigC(c,b,b))
    | product(a,bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(product(b,c),product(b,c),product(c,b))),product(a,bigC(product(b,c),product(b,c),product(c,b)))) )],[refute_0_13833,refute_0_13834]) ).

cnf(refute_0_13836,plain,
    product(a,bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(c,b)),product(product(b,c),bigC(c,b,b))) )],[refute_0_13832,refute_0_13835]) ).

cnf(refute_0_13837,plain,
    product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))))]]) ).

cnf(refute_0_13838,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) != product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b)))
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,bigC(product(b,c),product(b,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_13839,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,bigC(product(b,c),product(b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b)))) )],[refute_0_13837,refute_0_13838]) ).

cnf(refute_0_13840,plain,
    product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,bigC(product(b,c),product(b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_13839]) ).

cnf(refute_0_13841,plain,
    ( product(a,bigC(product(b,c),product(b,c),product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) != product(a,bigC(product(b,c),product(b,c),product(c,b)))
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))))),bind(Y,$fot(product(a,bigC(product(b,c),product(b,c),product(c,b))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13842,plain,
    ( product(a,bigC(product(b,c),product(b,c),product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),product(a,bigC(product(b,c),product(b,c),product(c,b)))) )],[refute_0_13840,refute_0_13841]) ).

cnf(refute_0_13843,plain,
    product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(product(b,c),product(b,c),product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13836,refute_0_13842]) ).

cnf(refute_0_13844,plain,
    product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) = product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_13845,plain,
    ( product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) != product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b)))
    | product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)))),bind(Y,$fot(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13846,plain,
    ( product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)),product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b)))) )],[refute_0_13844,refute_0_13845]) ).

cnf(refute_0_13847,plain,
    product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(product(b,c),product(b,c),product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13843,refute_0_13846]) ).

cnf(refute_0_13848,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) = product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(a,product(c,b)))),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c))),bind(X_67,$fot(product(b,c)))]]) ).

cnf(refute_0_13849,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) != product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a))
    | product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))))),bind(Y,$fot(product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13850,plain,
    ( product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))),product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a))) )],[refute_0_13848,refute_0_13849]) ).

cnf(refute_0_13851,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(c,b))),bigC(product(b,c),product(b,c),a)),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13847,refute_0_13850]) ).

cnf(refute_0_13852,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))))]]) ).

cnf(refute_0_13853,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) != bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b)))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b)))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13854,plain,
    ( quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b)))) )],[refute_0_13852,refute_0_13853]) ).

cnf(refute_0_13855,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13820,refute_0_13854]) ).

cnf(refute_0_13856,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) != bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))))),bind(Y,$fot(bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13857,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b)))) )],[refute_0_13855,refute_0_13856]) ).

cnf(refute_0_13858,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),product(a,product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13851,refute_0_13857]) ).

cnf(refute_0_13859,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))),bind(B,$fot(product(a,product(b,c)))),bind(C,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_13860,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) != bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))))),bind(Y,$fot(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13861,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))),bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b)))) )],[refute_0_13859,refute_0_13860]) ).

cnf(refute_0_13862,plain,
    bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c)),product(a,product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13858,refute_0_13861]) ).

cnf(refute_0_13863,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) != product(a,product(product(b,c),bigC(c,b,b)))
    | bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[0],$fot(product(a,product(product(b,c),bigC(c,b,b))))]]) ).

cnf(refute_0_13864,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13862,refute_0_13863]) ).

cnf(refute_0_13865,plain,
    product(product(a,bigC(b,c,c)),product(a,product(b,c))) = product(a,product(bigC(b,c,c),product(b,c))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(bigC(b,c,c))),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_13866,plain,
    product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))]]) ).

cnf(refute_0_13867,plain,
    ( product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13868,plain,
    ( quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13866,refute_0_13867]) ).

cnf(refute_0_13869,plain,
    product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13820,refute_0_13868]) ).

cnf(refute_0_13870,plain,
    ( product(product(a,bigC(b,c,c)),product(a,product(b,c))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),product(a,product(b,c)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(bigC(b,c,c),product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))),bind(Y,$fot(product(product(a,bigC(b,c,c)),product(a,product(b,c))))),bind(Z,$fot(product(a,product(bigC(b,c,c),product(b,c)))))]]) ).

cnf(refute_0_13871,plain,
    ( product(product(a,bigC(b,c,c)),product(a,product(b,c))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(bigC(b,c,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),product(a,product(b,c)))) )],[refute_0_13869,refute_0_13870]) ).

cnf(refute_0_13872,plain,
    product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(bigC(b,c,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(a,product(b,c))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13865,refute_0_13871]) ).

cnf(refute_0_13873,plain,
    ( product(a,product(product(b,c),bigC(c,b,b))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(a,product(bigC(b,c,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(product(b,c),bigC(c,b,b))),product(a,product(bigC(b,c,c),product(b,c)))) ),[0],$fot(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))]]) ).

cnf(refute_0_13874,plain,
    ( product(a,product(product(b,c),bigC(c,b,b))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(a,product(bigC(b,c,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13872,refute_0_13873]) ).

cnf(refute_0_13875,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(a,product(bigC(b,c,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),bigC(c,b,b))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13864,refute_0_13874]) ).

cnf(refute_0_13876,plain,
    product(a,product(product(b,c),bigC(c,b,b))) = product(a,product(bigC(b,c,c),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),product(a,product(b,c))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13823,refute_0_13875]) ).

cnf(refute_0_13877,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13878,plain,
    ( bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13820,refute_0_13877]) ).

cnf(refute_0_13879,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13809,refute_0_13878]) ).

cnf(refute_0_13880,plain,
    bigC(product(b,c),product(c,b),a) = bigC(product(b,c),a,product(c,b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(b,c))),bind(B,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_13881,plain,
    product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)))]]) ).

cnf(refute_0_13882,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)),product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a))) ),[1,1],$fot(bigC(product(b,c),a,product(c,b)))]]) ).

cnf(refute_0_13883,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)),product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a))) )],[refute_0_13881,refute_0_13882]) ).

cnf(refute_0_13884,plain,
    product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) = product(product(a,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_13880,refute_0_13883]) ).

cnf(refute_0_13885,plain,
    product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))]]) ).

cnf(refute_0_13886,plain,
    ( product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13887,plain,
    ( quotient(product(a,bigC(b,c,c)),product(a,product(c,b))) != product(a,product(b,c))
    | product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13885,refute_0_13886]) ).

cnf(refute_0_13888,plain,
    product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))),product(a,product(b,c))) )],[refute_0_13820,refute_0_13887]) ).

cnf(refute_0_13889,plain,
    product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)))]]) ).

cnf(refute_0_13890,plain,
    ( product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(a,product(a,product(b,c)))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) != product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a))) ),[1,0],$fot(product(a,product(a,product(b,c))))]]) ).

cnf(refute_0_13891,plain,
    ( product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(a,product(a,product(b,c)))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a))) )],[refute_0_13889,refute_0_13890]) ).

cnf(refute_0_13892,plain,
    product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(a,product(a,product(b,c)))) )],[refute_0_13888,refute_0_13891]) ).

cnf(refute_0_13893,plain,
    ( product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)))),bind(Y,$fot(product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)))),bind(Z,$fot(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))))]]) ).

cnf(refute_0_13894,plain,
    ( product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a))) )],[refute_0_13892,refute_0_13893]) ).

cnf(refute_0_13895,plain,
    product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),product(c,b),a)),product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))) )],[refute_0_13884,refute_0_13894]) ).

cnf(refute_0_13896,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c))),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_13897,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a))
    | product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))),bind(Y,$fot(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)))),bind(Z,$fot(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))))]]) ).

cnf(refute_0_13898,plain,
    ( product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)) != product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a))) )],[refute_0_13896,refute_0_13897]) ).

cnf(refute_0_13899,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),bigC(product(b,c),product(c,b),a)),product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))) )],[refute_0_13895,refute_0_13898]) ).

cnf(refute_0_13900,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[0],$fot(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_13901,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b)))) )],[refute_0_13899,refute_0_13900]) ).

cnf(refute_0_13902,plain,
    ( product(a,product(product(b,c),bigC(c,b,b))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(a,product(bigC(b,c,c),product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(product(b,c),bigC(c,b,b))))),bind(Y,$fot(product(a,product(bigC(b,c,c),product(b,c)))))]]) ).

cnf(refute_0_13903,plain,
    product(a,product(bigC(b,c,c),product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),bigC(c,b,b))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13876,refute_0_13902]) ).

cnf(refute_0_13904,plain,
    ( product(a,product(bigC(b,c,c),product(b,c))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,bigC(b,c,c)),product(a,product(b,c))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,bigC(b,c,c)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,c,c)),product(a,product(b,c))))),bind(Y,$fot(product(a,product(bigC(b,c,c),product(b,c))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13905,plain,
    ( product(a,product(bigC(b,c,c),product(b,c))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,bigC(b,c,c)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(a,product(b,c))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13865,refute_0_13904]) ).

cnf(refute_0_13906,plain,
    product(product(a,bigC(b,c,c)),product(a,product(b,c))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(b,c,c),product(b,c))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13903,refute_0_13905]) ).

cnf(refute_0_13907,plain,
    ( product(product(a,bigC(b,c,c)),product(a,product(b,c))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),product(a,product(b,c)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))))),bind(Y,$fot(product(product(a,bigC(b,c,c)),product(a,product(b,c))))),bind(Z,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13908,plain,
    ( product(product(a,bigC(b,c,c)),product(a,product(b,c))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),product(a,product(b,c)))) )],[refute_0_13869,refute_0_13907]) ).

cnf(refute_0_13909,plain,
    product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(a,product(b,c))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13906,refute_0_13908]) ).

cnf(refute_0_13910,plain,
    ( product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) ),[1],$fot(product(a,product(product(b,c),bigC(c,b,b))))]]) ).

cnf(refute_0_13911,plain,
    ( product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13909,refute_0_13910]) ).

cnf(refute_0_13912,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))) != product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13901,refute_0_13911]) ).

cnf(refute_0_13913,plain,
    product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b)))),product(product(a,bigC(b,c,c)),quotient(product(a,bigC(b,c,c)),product(a,product(c,b))))) )],[refute_0_13879,refute_0_13912]) ).

cnf(refute_0_13914,plain,
    bigC(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),X_19) = product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(product(bigC(a,a,c),product(product(c,a),b)))),bind(X_17,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13915,plain,
    ( bigC(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),X_19) != product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))
    | difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))) != product(a,product(c,b))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),X_19),product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_13916,plain,
    ( bigC(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),X_19) != product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),product(a,product(c,b))) )],[refute_0_13359,refute_0_13915]) ).

cnf(refute_0_13917,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),difference(product(a,product(b,c)),product(bigC(a,a,c),product(product(c,a),b))),X_19),product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))) )],[refute_0_13914,refute_0_13916]) ).

cnf(refute_0_13918,plain,
    product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) = product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))))]]) ).

cnf(refute_0_13919,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) != product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))
    | product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))) ),[1,0],$fot(product(a,bigC(b,c,c)))]]) ).

cnf(refute_0_13920,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))) )],[refute_0_13918,refute_0_13919]) ).

cnf(refute_0_13921,plain,
    product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(a,bigC(b,c,c))) )],[refute_0_13375,refute_0_13920]) ).

cnf(refute_0_13922,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))
    | product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) ),[0],$fot(product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))))]]) ).

cnf(refute_0_13923,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c)))),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) )],[refute_0_13921,refute_0_13922]) ).

cnf(refute_0_13924,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(bigC(a,a,c),product(product(c,a),b)),product(X_19,product(a,product(b,c))))) )],[refute_0_13917,refute_0_13923]) ).

cnf(refute_0_13925,plain,
    product(product(a,X_19),bigC(product(b,c),product(c,b),a)) = product(product(a,X_19),bigC(product(b,c),product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(product(a,X_19),bigC(product(b,c),product(c,b),a)))]]) ).

cnf(refute_0_13926,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(product(a,X_19),bigC(product(b,c),product(c,b),a)) != product(product(a,X_19),bigC(product(b,c),product(c,b),a))
    | product(product(a,X_19),bigC(product(b,c),product(c,b),a)) = product(product(a,X_19),bigC(product(b,c),a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_19),bigC(product(b,c),product(c,b),a)),product(product(a,X_19),bigC(product(b,c),product(c,b),a))) ),[1,1],$fot(bigC(product(b,c),a,product(c,b)))]]) ).

cnf(refute_0_13927,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(product(a,X_19),bigC(product(b,c),product(c,b),a)) = product(product(a,X_19),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_19),bigC(product(b,c),product(c,b),a)),product(product(a,X_19),bigC(product(b,c),product(c,b),a))) )],[refute_0_13925,refute_0_13926]) ).

cnf(refute_0_13928,plain,
    product(product(a,X_19),bigC(product(b,c),product(c,b),a)) = product(product(a,X_19),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_13880,refute_0_13927]) ).

cnf(refute_0_13929,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,X_19),bigC(product(b,c),product(c,b),a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(X_19)),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c))),bind(X_67,$fot(product(c,b)))]]) ).

cnf(refute_0_13930,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(a,X_19),bigC(product(b,c),product(c,b),a))
    | product(product(a,X_19),bigC(product(b,c),product(c,b),a)) != product(product(a,X_19),bigC(product(b,c),a,product(c,b)))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,X_19),bigC(product(b,c),a,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19))),bind(Y,$fot(product(product(a,X_19),bigC(product(b,c),product(c,b),a)))),bind(Z,$fot(product(product(a,X_19),bigC(product(b,c),a,product(c,b)))))]]) ).

cnf(refute_0_13931,plain,
    ( product(product(a,X_19),bigC(product(b,c),product(c,b),a)) != product(product(a,X_19),bigC(product(b,c),a,product(c,b)))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,X_19),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(a,X_19),bigC(product(b,c),product(c,b),a))) )],[refute_0_13929,refute_0_13930]) ).

cnf(refute_0_13932,plain,
    bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) = product(product(a,X_19),bigC(product(b,c),a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,X_19),bigC(product(b,c),product(c,b),a)),product(product(a,X_19),bigC(product(b,c),a,product(c,b)))) )],[refute_0_13928,refute_0_13931]) ).

cnf(refute_0_13933,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(a,X_19),bigC(product(b,c),a,product(c,b)))
    | bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) ),[0],$fot(product(product(a,X_19),bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_13934,plain,
    ( bigC(product(a,product(b,c)),product(a,product(c,b)),X_19) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(a,X_19),bigC(product(b,c),a,product(c,b)))) )],[refute_0_13932,refute_0_13933]) ).

cnf(refute_0_13935,plain,
    product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(c,b)),X_19),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) )],[refute_0_13924,refute_0_13934]) ).

cnf(refute_0_13936,plain,
    product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) = product(product(A,C),product(bigC(b,a,b),product(a,product(b,c)))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,a,b))),bind(D,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13937,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != c
    | product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) != product(product(A,C),product(bigC(b,a,b),product(a,product(b,c))))
    | product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) = product(product(A,C),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))),product(product(A,C),product(bigC(b,a,b),product(a,product(b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_13938,plain,
    ( product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) != product(product(A,C),product(bigC(b,a,b),product(a,product(b,c))))
    | product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) = product(product(A,C),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),c) )],[refute_0_9991,refute_0_13937]) ).

cnf(refute_0_13939,plain,
    product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))) = product(product(A,C),c),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,a,b)),product(C,product(a,product(b,c)))),product(product(A,C),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_13936,refute_0_13938]) ).

cnf(refute_0_13940,plain,
    product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))) = product(product(a,X_19),c),
    inference(subst,[],[refute_0_13939:[bind(A,$fot(a)),bind(C,$fot(X_19))]]) ).

cnf(refute_0_13941,plain,
    product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))))]]) ).

cnf(refute_0_13942,plain,
    ( product(a,bigC(b,c,c)) != product(a,bigC(b,a,b))
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) ),[1,0],$fot(product(a,bigC(b,a,b)))]]) ).

cnf(refute_0_13943,plain,
    ( product(a,bigC(b,c,c)) != product(a,bigC(b,a,b))
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) )],[refute_0_13941,refute_0_13942]) ).

cnf(refute_0_13944,plain,
    product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,c)),product(a,bigC(b,a,b))) )],[refute_0_13449,refute_0_13943]) ).

cnf(refute_0_13945,plain,
    ( product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))) != product(product(a,X_19),c)
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) != product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c))))
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,X_19),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))))),bind(Y,$fot(product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))))),bind(Z,$fot(product(product(a,X_19),c)))]]) ).

cnf(refute_0_13946,plain,
    ( product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))) != product(product(a,X_19),c)
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,X_19),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c))))) )],[refute_0_13944,refute_0_13945]) ).

cnf(refute_0_13947,plain,
    product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) = product(product(a,X_19),c),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,b)),product(X_19,product(a,product(b,c)))),product(product(a,X_19),c)) )],[refute_0_13940,refute_0_13946]) ).

cnf(refute_0_13948,plain,
    ( product(product(a,X_19),bigC(product(b,c),a,product(c,b))) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))) != product(product(a,X_19),c)
    | product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,X_19),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,X_19),bigC(product(b,c),a,product(c,b))),product(product(a,X_19),c)) ),[0],$fot(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))))]]) ).

cnf(refute_0_13949,plain,
    ( product(product(a,X_19),bigC(product(b,c),a,product(c,b))) != product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))
    | product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,X_19),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c)))),product(product(a,X_19),c)) )],[refute_0_13947,refute_0_13948]) ).

cnf(refute_0_13950,plain,
    product(product(a,X_19),bigC(product(b,c),a,product(c,b))) = product(product(a,X_19),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_19),bigC(product(b,c),a,product(c,b))),product(product(a,bigC(b,c,c)),product(X_19,product(a,product(b,c))))) )],[refute_0_13935,refute_0_13949]) ).

cnf(refute_0_13951,plain,
    product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) = product(product(a,product(a,product(b,c))),c),
    inference(subst,[],[refute_0_13950:[bind(X_19,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13952,plain,
    ( product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) != product(product(a,product(a,product(b,c))),c)
    | product(product(a,product(a,product(b,c))),c) = product(a,product(product(b,c),bigC(c,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) ),[0],$fot(product(product(a,product(a,product(b,c))),c))]]) ).

cnf(refute_0_13953,plain,
    ( product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(product(a,product(a,product(b,c))),c) = product(a,product(product(b,c),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),product(product(a,product(a,product(b,c))),c)) )],[refute_0_13951,refute_0_13952]) ).

cnf(refute_0_13954,plain,
    product(product(a,product(a,product(b,c))),c) = product(a,product(product(b,c),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(product(b,c),a,product(c,b))),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13913,refute_0_13953]) ).

cnf(refute_0_13955,plain,
    ( product(product(a,product(a,product(b,c))),c) != product(a,product(product(b,c),bigC(c,b,b)))
    | product(a,product(product(b,c),bigC(c,b,b))) = product(product(a,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,product(a,product(b,c))),c))),bind(Y,$fot(product(a,product(product(b,c),bigC(c,b,b)))))]]) ).

cnf(refute_0_13956,plain,
    product(a,product(product(b,c),bigC(c,b,b))) = product(product(a,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),c),product(a,product(product(b,c),bigC(c,b,b)))) )],[refute_0_13954,refute_0_13955]) ).

cnf(refute_0_13957,plain,
    ( product(a,product(product(b,c),bigC(c,b,b))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(a,product(product(b,c),bigC(c,b,b))) != product(product(a,product(a,product(b,c))),c)
    | product(product(a,product(a,product(b,c))),c) = product(a,product(bigC(b,c,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),bigC(c,b,b))),product(a,product(bigC(b,c,c),product(b,c)))) ),[0],$fot(product(product(a,product(a,product(b,c))),c))]]) ).

cnf(refute_0_13958,plain,
    ( product(a,product(product(b,c),bigC(c,b,b))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,product(a,product(b,c))),c) = product(a,product(bigC(b,c,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),bigC(c,b,b))),product(product(a,product(a,product(b,c))),c)) )],[refute_0_13956,refute_0_13957]) ).

cnf(refute_0_13959,plain,
    product(product(a,product(a,product(b,c))),c) = product(a,product(bigC(b,c,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),bigC(c,b,b))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13876,refute_0_13958]) ).

cnf(refute_0_13960,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,b,product(c,a))
    | bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | bigC(c,product(b,c),b) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(b,c),b))),bind(Y,$fot(bigC(c,b,product(b,c)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13961,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,b,product(c,a))
    | bigC(c,product(b,c),b) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),b),bigC(c,b,product(b,c))) )],[refute_0_8952,refute_0_13960]) ).

cnf(refute_0_13962,plain,
    bigC(c,product(b,c),b) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_9001,refute_0_13961]) ).

cnf(refute_0_13963,plain,
    ( bigC(c,product(b,c),b) != bigC(b,b,product(c,a))
    | product(bigC(b,a,b),product(b,c)) != bigC(c,product(b,c),b)
    | product(bigC(b,a,b),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(b,c)))),bind(Y,$fot(bigC(c,product(b,c),b))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13964,plain,
    ( bigC(c,product(b,c),b) != bigC(b,b,product(c,a))
    | product(bigC(b,a,b),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,c)),bigC(c,product(b,c),b)) )],[refute_0_13750,refute_0_13963]) ).

cnf(refute_0_13965,plain,
    product(bigC(b,a,b),product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),b),bigC(b,b,product(c,a))) )],[refute_0_13962,refute_0_13964]) ).

cnf(refute_0_13966,plain,
    product(bigC(b,c,c),product(b,c)) = product(bigC(b,c,c),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,c),product(b,c)))]]) ).

cnf(refute_0_13967,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),product(b,c)) != product(bigC(b,c,c),product(b,c))
    | product(bigC(b,c,c),product(b,c)) = product(bigC(b,a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,c),product(b,c)),product(bigC(b,c,c),product(b,c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_13968,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),product(b,c)) = product(bigC(b,a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(b,c)),product(bigC(b,c,c),product(b,c))) )],[refute_0_13966,refute_0_13967]) ).

cnf(refute_0_13969,plain,
    product(bigC(b,c,c),product(b,c)) = product(bigC(b,a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_2750,refute_0_13968]) ).

cnf(refute_0_13970,plain,
    ( product(bigC(b,a,b),product(b,c)) != bigC(b,b,product(c,a))
    | product(bigC(b,c,c),product(b,c)) != product(bigC(b,a,b),product(b,c))
    | product(bigC(b,c,c),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,c),product(b,c)))),bind(Y,$fot(product(bigC(b,a,b),product(b,c)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13971,plain,
    ( product(bigC(b,a,b),product(b,c)) != bigC(b,b,product(c,a))
    | product(bigC(b,c,c),product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(b,c)),product(bigC(b,a,b),product(b,c))) )],[refute_0_13969,refute_0_13970]) ).

cnf(refute_0_13972,plain,
    product(bigC(b,c,c),product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_13965,refute_0_13971]) ).

cnf(refute_0_13973,plain,
    product(a,product(bigC(b,c,c),product(b,c))) = product(a,product(bigC(b,c,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,product(bigC(b,c,c),product(b,c))))]]) ).

cnf(refute_0_13974,plain,
    ( product(a,product(bigC(b,c,c),product(b,c))) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(bigC(b,c,c),product(b,c)) != bigC(b,b,product(c,a))
    | product(a,product(bigC(b,c,c),product(b,c))) = product(a,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(bigC(b,c,c),product(b,c))),product(a,product(bigC(b,c,c),product(b,c)))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_13975,plain,
    ( product(bigC(b,c,c),product(b,c)) != bigC(b,b,product(c,a))
    | product(a,product(bigC(b,c,c),product(b,c))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(b,c,c),product(b,c))),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13973,refute_0_13974]) ).

cnf(refute_0_13976,plain,
    product(a,product(bigC(b,c,c),product(b,c))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_13972,refute_0_13975]) ).

cnf(refute_0_13977,plain,
    ( product(a,product(bigC(b,c,c),product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | product(product(a,product(a,product(b,c))),c) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,product(a,product(b,c))),c) = product(a,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),c),product(a,product(bigC(b,c,c),product(b,c)))) ),[1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13978,plain,
    ( product(product(a,product(a,product(b,c))),c) != product(a,product(bigC(b,c,c),product(b,c)))
    | product(product(a,product(a,product(b,c))),c) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(b,c,c),product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_13976,refute_0_13977]) ).

cnf(refute_0_13979,plain,
    product(product(a,product(a,product(b,c))),c) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),c),product(a,product(bigC(b,c,c),product(b,c)))) )],[refute_0_13959,refute_0_13978]) ).

cnf(refute_0_13980,plain,
    product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_13981,plain,
    ( product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) != product(product(a,bigC(a,a,product(b,c))),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)))
    | product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c))) ),[1,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13982,plain,
    ( product(product(a,product(a,product(b,c))),c) != product(a,bigC(b,b,product(c,a)))
    | product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c))) )],[refute_0_13980,refute_0_13981]) ).

cnf(refute_0_13983,plain,
    product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(product(a,bigC(a,a,product(b,c))),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_13979,refute_0_13982]) ).

cnf(refute_0_13984,plain,
    ( product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) != product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a))))
    | product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(a,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)))),bind(Y,$fot(product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))))),bind(Z,$fot(product(a,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_13985,plain,
    ( product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(a,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a))))) )],[refute_0_13983,refute_0_13984]) ).

cnf(refute_0_13986,plain,
    product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) = product(a,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(a,bigC(b,b,product(c,a)))),product(a,bigC(a,b,product(a,b)))) )],[refute_0_13808,refute_0_13985]) ).

cnf(refute_0_13987,plain,
    product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(product(a,product(a,product(b,c))),X_25),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,product(a,product(b,c))))),bind(X_26,$fot(bigC(a,c,product(a,c))))]]) ).

cnf(refute_0_13988,plain,
    ( product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))) != product(a,c)
    | product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) != product(product(product(a,product(a,product(b,c))),X_25),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))
    | product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))),product(product(product(a,product(a,product(b,c))),X_25),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_13989,plain,
    ( product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) != product(product(product(a,product(a,product(b,c))),X_25),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))
    | product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))),product(a,c)) )],[refute_0_13736,refute_0_13988]) ).

cnf(refute_0_13990,plain,
    product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(product(a,product(a,product(b,c))),X_25),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))),product(product(product(a,product(a,product(b,c))),X_25),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) )],[refute_0_13987,refute_0_13989]) ).

cnf(refute_0_13991,plain,
    product(a,bigC(a,product(b,c),a)) = product(a,bigC(a,product(b,c),a)),
    introduced(tautology,[refl,[$fot(product(a,bigC(a,product(b,c),a)))]]) ).

cnf(refute_0_13992,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(a,bigC(a,product(b,c),a)) != product(a,bigC(a,product(b,c),a))
    | product(a,bigC(a,product(b,c),a)) = product(a,bigC(a,a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(a,product(b,c),a)),product(a,bigC(a,product(b,c),a))) ),[1,1],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_13993,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(a,bigC(a,product(b,c),a)) = product(a,bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,product(b,c),a)),product(a,bigC(a,product(b,c),a))) )],[refute_0_13991,refute_0_13992]) ).

cnf(refute_0_13994,plain,
    product(a,bigC(a,product(b,c),a)) = product(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_13758,refute_0_13993]) ).

cnf(refute_0_13995,plain,
    bigC(a,a,product(a,product(b,c))) = product(a,bigC(a,product(b,c),a)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(b,c))),bind(X_35,$fot(a))]]) ).

cnf(refute_0_13996,plain,
    bigC(a,product(a,product(b,c)),a) = bigC(a,a,product(a,product(b,c))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13997,plain,
    ( bigC(a,a,product(a,product(b,c))) != product(a,bigC(a,product(b,c),a))
    | bigC(a,product(a,product(b,c)),a) != bigC(a,a,product(a,product(b,c)))
    | bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,product(b,c),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(a,product(b,c)),a))),bind(Y,$fot(bigC(a,a,product(a,product(b,c))))),bind(Z,$fot(product(a,bigC(a,product(b,c),a))))]]) ).

cnf(refute_0_13998,plain,
    ( bigC(a,a,product(a,product(b,c))) != product(a,bigC(a,product(b,c),a))
    | bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,product(b,c)),a),bigC(a,a,product(a,product(b,c)))) )],[refute_0_13996,refute_0_13997]) ).

cnf(refute_0_13999,plain,
    bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(a,product(b,c))),product(a,bigC(a,product(b,c),a))) )],[refute_0_13995,refute_0_13998]) ).

cnf(refute_0_14000,plain,
    ( bigC(a,product(a,product(b,c)),a) != product(a,bigC(a,product(b,c),a))
    | product(a,bigC(a,product(b,c),a)) != product(a,bigC(a,a,product(b,c)))
    | bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(a,product(b,c)),a))),bind(Y,$fot(product(a,bigC(a,product(b,c),a)))),bind(Z,$fot(product(a,bigC(a,a,product(b,c)))))]]) ).

cnf(refute_0_14001,plain,
    ( product(a,bigC(a,product(b,c),a)) != product(a,bigC(a,a,product(b,c)))
    | bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,product(b,c)),a),product(a,bigC(a,product(b,c),a))) )],[refute_0_13999,refute_0_14000]) ).

cnf(refute_0_14002,plain,
    bigC(a,product(a,product(b,c)),a) = product(a,bigC(a,a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,product(b,c),a)),product(a,bigC(a,a,product(b,c)))) )],[refute_0_13994,refute_0_14001]) ).

cnf(refute_0_14003,plain,
    product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) = product(bigC(a,product(a,product(b,c)),a),product(X_25,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(a,product(b,c)),a),product(X_25,c)))]]) ).

cnf(refute_0_14004,plain,
    ( bigC(a,product(a,product(b,c)),a) != product(a,bigC(a,a,product(b,c)))
    | product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) != product(bigC(a,product(a,product(b,c)),a),product(X_25,c))
    | product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(a,product(b,c)),a),product(X_25,c)),product(bigC(a,product(a,product(b,c)),a),product(X_25,c))) ),[1,0],$fot(product(a,bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_14005,plain,
    ( bigC(a,product(a,product(b,c)),a) != product(a,bigC(a,a,product(b,c)))
    | product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,product(b,c)),a),product(X_25,c)),product(bigC(a,product(a,product(b,c)),a),product(X_25,c))) )],[refute_0_14003,refute_0_14004]) ).

cnf(refute_0_14006,plain,
    product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,product(b,c)),a),product(a,bigC(a,a,product(b,c)))) )],[refute_0_14002,refute_0_14005]) ).

cnf(refute_0_14007,plain,
    product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) = product(bigC(a,product(a,product(b,c)),a),product(X_25,c)),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(a,product(b,c)))),bind(X_24,$fot(a)),bind(X_26,$fot(c))]]) ).

cnf(refute_0_14008,plain,
    ( product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) != product(product(a,bigC(a,a,product(b,c))),product(X_25,c))
    | product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) != product(bigC(a,product(a,product(b,c)),a),product(X_25,c))
    | product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(a,product(b,c))),X_25),product(a,c)))),bind(Y,$fot(product(bigC(a,product(a,product(b,c)),a),product(X_25,c)))),bind(Z,$fot(product(product(a,bigC(a,a,product(b,c))),product(X_25,c))))]]) ).

cnf(refute_0_14009,plain,
    ( product(bigC(a,product(a,product(b,c)),a),product(X_25,c)) != product(product(a,bigC(a,a,product(b,c))),product(X_25,c))
    | product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(a,product(b,c))),X_25),product(a,c)),product(bigC(a,product(a,product(b,c)),a),product(X_25,c))) )],[refute_0_14007,refute_0_14008]) ).

cnf(refute_0_14010,plain,
    product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,product(b,c)),a),product(X_25,c)),product(product(a,bigC(a,a,product(b,c))),product(X_25,c))) )],[refute_0_14006,refute_0_14009]) ).

cnf(refute_0_14011,plain,
    ( product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) != product(product(product(a,product(a,product(b,c))),X_25),product(a,c))
    | product(product(product(a,product(a,product(b,c))),X_25),product(a,c)) != product(product(a,bigC(a,a,product(b,c))),product(X_25,c))
    | product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))),product(product(a,bigC(a,a,product(b,c))),product(X_25,c))) ),[0],$fot(product(product(product(a,product(a,product(b,c))),X_25),product(a,c)))]]) ).

cnf(refute_0_14012,plain,
    ( product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) != product(product(product(a,product(a,product(b,c))),X_25),product(a,c))
    | product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(a,product(b,c))),X_25),product(a,c)),product(product(a,bigC(a,a,product(b,c))),product(X_25,c))) )],[refute_0_14010,refute_0_14011]) ).

cnf(refute_0_14013,plain,
    product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))) = product(product(a,bigC(a,a,product(b,c))),product(X_25,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(X_25,bigC(a,c,product(a,c)))),product(product(product(a,product(a,product(b,c))),X_25),product(a,c))) )],[refute_0_13990,refute_0_14012]) ).

cnf(refute_0_14014,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) = product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),
    inference(subst,[],[refute_0_14013:[bind(X_25,$fot(product(a,product(a,product(b,c)))))]]) ).

cnf(refute_0_14015,plain,
    ( product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) != product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) = product(a,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))),bind(Y,$fot(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)))),bind(Z,$fot(product(a,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14016,plain,
    ( product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) = product(a,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))),product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c))) )],[refute_0_14014,refute_0_14015]) ).

cnf(refute_0_14017,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) = product(a,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,product(b,c))),product(product(a,product(a,product(b,c))),c)),product(a,bigC(a,b,product(a,b)))) )],[refute_0_13986,refute_0_14016]) ).

cnf(refute_0_14018,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))))]]) ).

cnf(refute_0_14019,plain,
    ( product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))) ),[1,1],$fot(product(a,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_14020,plain,
    ( product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))) != product(a,bigC(a,b,product(a,b)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))) )],[refute_0_14018,refute_0_14019]) ).

cnf(refute_0_14021,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))),product(a,bigC(a,b,product(a,b)))) )],[refute_0_14017,refute_0_14020]) ).

cnf(refute_0_14022,plain,
    ( product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))) != product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) != product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b))))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))))),bind(Z,$fot(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_14023,plain,
    ( product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))) != product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b))))) )],[refute_0_14021,refute_0_14022]) ).

cnf(refute_0_14024,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(a,bigC(a,b,product(a,b)))),product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) )],[refute_0_13740,refute_0_14023]) ).

cnf(refute_0_14025,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) != product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))
    | difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))))),bind(Z,$fot(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_14026,plain,
    ( product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))) != product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))
    | difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)))))) )],[refute_0_13672,refute_0_14025]) ).

cnf(refute_0_14027,plain,
    difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) = product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(a,c,product(a,c))))),product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) )],[refute_0_14024,refute_0_14026]) ).

cnf(refute_0_14028,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))
    | difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))) ),[0],$fot(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14029,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) )],[refute_0_14027,refute_0_14028]) ).

cnf(refute_0_14030,plain,
    product(a,product(product(b,a),b)) = product(a,product(product(b,a),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,a),b)))]]) ).

cnf(refute_0_14031,plain,
    ( product(a,product(product(b,a),b)) != product(a,product(product(b,a),b))
    | product(product(b,a),b) != bigC(b,a,b)
    | product(a,product(product(b,a),b)) = product(a,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,a),b)),product(a,product(product(b,a),b))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14032,plain,
    ( product(product(b,a),b) != bigC(b,a,b)
    | product(a,product(product(b,a),b)) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),b)),product(a,product(product(b,a),b))) )],[refute_0_14030,refute_0_14031]) ).

cnf(refute_0_14033,plain,
    product(a,product(product(b,a),b)) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,a),b),bigC(b,a,b)) )],[refute_0_10240,refute_0_14032]) ).

cnf(refute_0_14034,plain,
    product(bigC(a,a,b),product(a,b)) = product(a,product(product(b,a),b)),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(b)),bind(X_65,$fot(a)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_14035,plain,
    ( product(a,product(product(b,a),b)) != product(a,bigC(b,a,b))
    | product(bigC(a,a,b),product(a,b)) != product(a,product(product(b,a),b))
    | product(bigC(a,a,b),product(a,b)) = product(a,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(a,b)))),bind(Y,$fot(product(a,product(product(b,a),b)))),bind(Z,$fot(product(a,bigC(b,a,b))))]]) ).

cnf(refute_0_14036,plain,
    ( product(a,product(product(b,a),b)) != product(a,bigC(b,a,b))
    | product(bigC(a,a,b),product(a,b)) = product(a,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,b)),product(a,product(product(b,a),b))) )],[refute_0_14034,refute_0_14035]) ).

cnf(refute_0_14037,plain,
    product(bigC(a,a,b),product(a,b)) = product(a,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,a),b)),product(a,bigC(b,a,b))) )],[refute_0_14033,refute_0_14036]) ).

cnf(refute_0_14038,plain,
    product(product(bigC(a,a,b),product(a,b)),c) = product(product(bigC(a,a,b),product(a,b)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),product(a,b)),c))]]) ).

cnf(refute_0_14039,plain,
    ( product(bigC(a,a,b),product(a,b)) != product(a,bigC(b,a,b))
    | product(product(bigC(a,a,b),product(a,b)),c) != product(product(bigC(a,a,b),product(a,b)),c)
    | product(product(bigC(a,a,b),product(a,b)),c) = product(product(a,bigC(b,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),product(a,b)),c),product(product(bigC(a,a,b),product(a,b)),c)) ),[1,0],$fot(product(a,bigC(b,a,b)))]]) ).

cnf(refute_0_14040,plain,
    ( product(bigC(a,a,b),product(a,b)) != product(a,bigC(b,a,b))
    | product(product(bigC(a,a,b),product(a,b)),c) = product(product(a,bigC(b,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(a,b)),c),product(product(bigC(a,a,b),product(a,b)),c)) )],[refute_0_14038,refute_0_14039]) ).

cnf(refute_0_14041,plain,
    product(product(bigC(a,a,b),product(a,b)),c) = product(product(a,bigC(b,a,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,b)),product(a,bigC(b,a,b))) )],[refute_0_14037,refute_0_14040]) ).

cnf(refute_0_14042,plain,
    bigC(c,product(a,b),product(a,product(b,c))) = product(product(bigC(a,a,b),product(a,b)),c),
    inference(subst,[],[refute_0_7098:[bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_14043,plain,
    bigC(c,product(a,b),C) = product(product(c,product(a,b)),product(C,c)),
    inference(subst,[],[refute_0_1:[bind(A,$fot(c)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_14044,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_14045,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_1833,refute_0_14044]) ).

cnf(refute_0_14046,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_14043,refute_0_14045]) ).

cnf(refute_0_14047,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_16:[bind(X,$fot(bigC(c,product(a,b),C))),bind(Y,$fot(product(product(a,product(b,c)),product(C,c))))]]) ).

cnf(refute_0_14048,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_14046,refute_0_14047]) ).

cnf(refute_0_14049,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = bigC(c,product(a,b),product(a,product(b,c))),
    inference(subst,[],[refute_0_14048:[bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_14050,plain,
    ( bigC(c,product(a,b),product(a,product(b,c))) != product(product(bigC(a,a,b),product(a,b)),c)
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) != bigC(c,product(a,b),product(a,product(b,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(bigC(a,a,b),product(a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(bigC(c,product(a,b),product(a,product(b,c))))),bind(Z,$fot(product(product(bigC(a,a,b),product(a,b)),c)))]]) ).

cnf(refute_0_14051,plain,
    ( bigC(c,product(a,b),product(a,product(b,c))) != product(product(bigC(a,a,b),product(a,b)),c)
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(bigC(a,a,b),product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),c)),bigC(c,product(a,b),product(a,product(b,c)))) )],[refute_0_14049,refute_0_14050]) ).

cnf(refute_0_14052,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(bigC(a,a,b),product(a,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,product(b,c))),product(product(bigC(a,a,b),product(a,b)),c)) )],[refute_0_14042,refute_0_14051]) ).

cnf(refute_0_14053,plain,
    ( product(product(a,product(b,c)),product(product(a,product(b,c)),c)) != product(product(bigC(a,a,b),product(a,b)),c)
    | product(product(bigC(a,a,b),product(a,b)),c) != product(product(a,bigC(b,a,b)),c)
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(a,bigC(b,a,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(product(product(bigC(a,a,b),product(a,b)),c))),bind(Z,$fot(product(product(a,bigC(b,a,b)),c)))]]) ).

cnf(refute_0_14054,plain,
    ( product(product(bigC(a,a,b),product(a,b)),c) != product(product(a,bigC(b,a,b)),c)
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(a,bigC(b,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),c)),product(product(bigC(a,a,b),product(a,b)),c)) )],[refute_0_14052,refute_0_14053]) ).

cnf(refute_0_14055,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),c)) = product(product(a,bigC(b,a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(a,b)),c),product(product(a,bigC(b,a,b)),c)) )],[refute_0_14041,refute_0_14054]) ).

cnf(refute_0_14056,plain,
    product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))))]]) ).

cnf(refute_0_14057,plain,
    ( product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),c)) != product(product(a,bigC(b,a,b)),c)
    | product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) ),[1,1],$fot(product(product(a,bigC(b,a,b)),c))]]) ).

cnf(refute_0_14058,plain,
    ( product(product(a,product(b,c)),product(product(a,product(b,c)),c)) != product(product(a,bigC(b,a,b)),c)
    | product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) )],[refute_0_14056,refute_0_14057]) ).

cnf(refute_0_14059,plain,
    product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),c)),product(product(a,bigC(b,a,b)),c)) )],[refute_0_14055,refute_0_14058]) ).

cnf(refute_0_14060,plain,
    product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))))]]) ).

cnf(refute_0_14061,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_14062,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) )],[refute_0_14060,refute_0_14061]) ).

cnf(refute_0_14063,plain,
    product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_14062]) ).

cnf(refute_0_14064,plain,
    ( product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,bigC(b,a,b)),c))
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))))),bind(Y,$fot(product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))))),bind(Z,$fot(product(a,product(product(a,bigC(b,a,b)),c))))]]) ).

cnf(refute_0_14065,plain,
    ( product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,bigC(b,a,b)),c))
    | product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) )],[refute_0_14063,refute_0_14064]) ).

cnf(refute_0_14066,plain,
    product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) = product(a,product(product(a,bigC(b,a,b)),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(a,product(product(a,bigC(b,a,b)),c))) )],[refute_0_14059,refute_0_14065]) ).

cnf(refute_0_14067,plain,
    product(product(X_65,X_66),product(product(X_65,X_67),X_26)) = product(product(product(X_65,X_66),product(X_65,X_67)),product(product(X_65,X_66),X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(X_65,X_66))),bind(X_25,$fot(product(X_65,X_67)))]]) ).

cnf(refute_0_14068,plain,
    ( product(product(X_65,X_66),product(X_65,X_67)) != product(X_65,product(X_66,X_67))
    | product(product(X_65,X_66),product(product(X_65,X_67),X_26)) != product(product(product(X_65,X_66),product(X_65,X_67)),product(product(X_65,X_66),X_26))
    | product(product(X_65,X_66),product(product(X_65,X_67),X_26)) = product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_65,X_66),product(product(X_65,X_67),X_26)),product(product(product(X_65,X_66),product(X_65,X_67)),product(product(X_65,X_66),X_26))) ),[1,0],$fot(product(X_65,product(X_66,X_67)))]]) ).

cnf(refute_0_14069,plain,
    ( product(product(X_65,X_66),product(product(X_65,X_67),X_26)) != product(product(product(X_65,X_66),product(X_65,X_67)),product(product(X_65,X_66),X_26))
    | product(product(X_65,X_66),product(product(X_65,X_67),X_26)) = product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(X_65,X_67)),product(X_65,product(X_66,X_67))) )],[refute_0_228,refute_0_14068]) ).

cnf(refute_0_14070,plain,
    product(product(X_65,X_66),product(product(X_65,X_67),X_26)) = product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(product(X_65,X_67),X_26)),product(product(product(X_65,X_66),product(X_65,X_67)),product(product(X_65,X_66),X_26))) )],[refute_0_14067,refute_0_14069]) ).

cnf(refute_0_14071,plain,
    ( product(product(X_65,X_66),product(product(X_65,X_67),X_26)) != product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26))
    | product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26)) = product(product(X_65,X_66),product(product(X_65,X_67),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_65,X_66),product(product(X_65,X_67),X_26)))),bind(Y,$fot(product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26))))]]) ).

cnf(refute_0_14072,plain,
    product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26)) = product(product(X_65,X_66),product(product(X_65,X_67),X_26)),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(product(X_65,X_67),X_26)),product(product(X_65,product(X_66,X_67)),product(product(X_65,X_66),X_26))) )],[refute_0_14070,refute_0_14071]) ).

cnf(refute_0_14073,plain,
    product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))) = product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),
    inference(subst,[],[refute_0_14072:[bind(X_26,$fot(product(product(a,product(b,c)),c))),bind(X_65,$fot(a)),bind(X_66,$fot(a)),bind(X_67,$fot(product(b,c)))]]) ).

cnf(refute_0_14074,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(a,product(b,c)))),bind(D,$fot(c)),bind(X_65,$fot(product(a,product(a,product(b,c)))))]]) ).

cnf(refute_0_14075,plain,
    ( product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))) != product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) != product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))))),bind(Z,$fot(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))))]]) ).

cnf(refute_0_14076,plain,
    ( product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))) != product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))),product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c)))) )],[refute_0_14074,refute_0_14075]) ).

cnf(refute_0_14077,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,a),product(product(a,product(b,c)),c))),product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) )],[refute_0_14073,refute_0_14076]) ).

cnf(refute_0_14078,plain,
    ( product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,bigC(b,a,b)),c))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) != product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))))),bind(Y,$fot(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))))),bind(Z,$fot(product(a,product(product(a,bigC(b,a,b)),c))))]]) ).

cnf(refute_0_14079,plain,
    ( product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))) != product(a,product(product(a,bigC(b,a,b)),c))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))),product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c)))) )],[refute_0_14077,refute_0_14078]) ).

cnf(refute_0_14080,plain,
    product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) = product(a,product(product(a,bigC(b,a,b)),c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(a,product(b,c)),product(product(a,product(b,c)),c))),product(a,product(product(a,bigC(b,a,b)),c))) )],[refute_0_14066,refute_0_14079]) ).

cnf(refute_0_14081,plain,
    ( product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))
    | product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))) != product(a,product(product(a,bigC(b,a,b)),c))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),product(a,product(product(a,bigC(b,a,b)),c))) ),[0],$fot(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))))]]) ).

cnf(refute_0_14082,plain,
    ( product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c))),product(a,product(product(a,bigC(b,a,b)),c))) )],[refute_0_14080,refute_0_14081]) ).

cnf(refute_0_14083,plain,
    ( difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))) != product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(a,product(product(a,bigC(b,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))) )],[refute_0_14029,refute_0_14082]) ).

cnf(refute_0_14084,plain,
    product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) = product(a,product(product(a,bigC(b,a,b)),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(a,product(a,product(b,c))),bigC(a,c,product(a,c)),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(a,product(a,product(b,c)))),product(product(a,product(a,product(b,c))),product(product(a,product(a,product(b,c))),product(a,c)))) )],[refute_0_13739,refute_0_14083]) ).

cnf(refute_0_14085,plain,
    ( difference(a,product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))) != product(a,product(product(a,bigC(b,a,b)),c))
    | difference(a,product(a,product(product(a,bigC(b,a,b)),c))) = product(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))),product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),[0,1],$fot(product(a,product(product(a,bigC(b,a,b)),c)))]]) ).

cnf(refute_0_14086,plain,
    ( difference(a,product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | difference(a,product(a,product(product(a,bigC(b,a,b)),c))) = product(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b)))),product(a,product(product(a,bigC(b,a,b)),c))) )],[refute_0_14084,refute_0_14085]) ).

cnf(refute_0_14087,plain,
    difference(a,product(a,product(product(a,bigC(b,a,b)),c))) = product(product(a,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(a,product(b,c)),bigC(a,b,product(a,b))))),product(product(a,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_13671,refute_0_14086]) ).

cnf(refute_0_14088,plain,
    difference(a,product(a,product(product(a,bigC(b,a,b)),c))) = product(product(a,bigC(b,a,b)),c),
    inference(subst,[],[refute_0_9:[bind(A,$fot(a)),bind(B,$fot(product(product(a,bigC(b,a,b)),c)))]]) ).

cnf(refute_0_14089,plain,
    ( difference(a,product(a,product(product(a,bigC(b,a,b)),c))) != product(product(a,bigC(b,a,b)),c)
    | difference(a,product(a,product(product(a,bigC(b,a,b)),c))) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(a,bigC(b,a,b)),c) = product(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(a,bigC(b,a,b)),c))),product(product(a,product(b,c)),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(a,bigC(b,a,b)),c))]]) ).

cnf(refute_0_14090,plain,
    ( difference(a,product(a,product(product(a,bigC(b,a,b)),c))) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(a,bigC(b,a,b)),c) = product(product(a,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(a,bigC(b,a,b)),c))),product(product(a,bigC(b,a,b)),c)) )],[refute_0_14088,refute_0_14089]) ).

cnf(refute_0_14091,plain,
    product(product(a,bigC(b,a,b)),c) = product(product(a,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(a,bigC(b,a,b)),c))),product(product(a,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_14087,refute_0_14090]) ).

cnf(refute_0_14092,plain,
    product(product(a,b),product(bigC(a,a,c),c)) = product(c,product(bigC(a,a,c),b)),
    inference(subst,[],[refute_0_5307:[bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_14093,plain,
    product(product(X_96,bigC(a,a,c)),product(b,c)) = product(product(X_96,product(b,c)),product(bigC(a,a,c),product(b,c))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(X_96)),bind(X_24,$fot(bigC(a,a,c))),bind(X_26,$fot(product(b,c)))]]) ).

cnf(refute_0_14094,plain,
    ( product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | product(product(X_96,bigC(a,a,c)),product(b,c)) != product(product(X_96,product(b,c)),product(bigC(a,a,c),product(b,c)))
    | product(product(X_96,bigC(a,a,c)),product(b,c)) = product(product(X_96,product(b,c)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,bigC(a,a,c)),product(b,c)),product(product(X_96,product(b,c)),product(bigC(a,a,c),product(b,c)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_14095,plain,
    ( product(product(X_96,bigC(a,a,c)),product(b,c)) != product(product(X_96,product(b,c)),product(bigC(a,a,c),product(b,c)))
    | product(product(X_96,bigC(a,a,c)),product(b,c)) = product(product(X_96,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_6599,refute_0_14094]) ).

cnf(refute_0_14096,plain,
    product(product(X_96,bigC(a,a,c)),product(b,c)) = product(product(X_96,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(X_96,bigC(a,a,c)),product(b,c)),product(product(X_96,product(b,c)),product(bigC(a,a,c),product(b,c)))) )],[refute_0_14093,refute_0_14095]) ).

cnf(refute_0_14097,plain,
    product(product(X_96,bigC(a,a,c)),product(b,c)) = product(product(X_96,b),product(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(X_96)),bind(B,$fot(b)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_14098,plain,
    ( product(product(X_96,bigC(a,a,c)),product(b,c)) != product(product(X_96,b),product(bigC(a,a,c),c))
    | product(product(X_96,bigC(a,a,c)),product(b,c)) != product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(X_96,b),product(bigC(a,a,c),c)) = product(product(X_96,product(b,c)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_96,bigC(a,a,c)),product(b,c)),product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(X_96,b),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_14099,plain,
    ( product(product(X_96,bigC(a,a,c)),product(b,c)) != product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(X_96,b),product(bigC(a,a,c),c)) = product(product(X_96,product(b,c)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(X_96,bigC(a,a,c)),product(b,c)),product(product(X_96,b),product(bigC(a,a,c),c))) )],[refute_0_14097,refute_0_14098]) ).

cnf(refute_0_14100,plain,
    product(product(X_96,b),product(bigC(a,a,c),c)) = product(product(X_96,product(b,c)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(X_96,bigC(a,a,c)),product(b,c)),product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_14096,refute_0_14099]) ).

cnf(refute_0_14101,plain,
    ( product(product(X_96,b),product(bigC(a,a,c),c)) != product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(X_96,product(b,c)),bigC(a,b,product(a,b))) = product(product(X_96,b),product(bigC(a,a,c),c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_96,b),product(bigC(a,a,c),c)))),bind(Y,$fot(product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14102,plain,
    product(product(X_96,product(b,c)),bigC(a,b,product(a,b))) = product(product(X_96,b),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(X_96,b),product(bigC(a,a,c),c)),product(product(X_96,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_14100,refute_0_14101]) ).

cnf(refute_0_14103,plain,
    product(product(a,product(b,c)),bigC(a,b,product(a,b))) = product(product(a,b),product(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_14102:[bind(X_96,$fot(a))]]) ).

cnf(refute_0_14104,plain,
    ( product(product(a,b),product(bigC(a,a,c),c)) != product(c,product(bigC(a,a,c),b))
    | product(product(a,product(b,c)),bigC(a,b,product(a,b))) != product(product(a,b),product(bigC(a,a,c),c))
    | product(product(a,product(b,c)),bigC(a,b,product(a,b))) = product(c,product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,c)),bigC(a,b,product(a,b))))),bind(Y,$fot(product(product(a,b),product(bigC(a,a,c),c)))),bind(Z,$fot(product(c,product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_14105,plain,
    ( product(product(a,b),product(bigC(a,a,c),c)) != product(c,product(bigC(a,a,c),b))
    | product(product(a,product(b,c)),bigC(a,b,product(a,b))) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,b,product(a,b))),product(product(a,b),product(bigC(a,a,c),c))) )],[refute_0_14103,refute_0_14104]) ).

cnf(refute_0_14106,plain,
    product(product(a,product(b,c)),bigC(a,b,product(a,b))) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(a,a,c),c)),product(c,product(bigC(a,a,c),b))) )],[refute_0_14092,refute_0_14105]) ).

cnf(refute_0_14107,plain,
    ( product(product(a,bigC(b,a,b)),c) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(a,product(b,c)),bigC(a,b,product(a,b))) != product(c,product(bigC(a,a,c),b))
    | product(product(a,bigC(b,a,b)),c) = product(c,product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(b,a,b)),c),product(c,product(bigC(a,a,c),b))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_14108,plain,
    ( product(product(a,bigC(b,a,b)),c) != product(product(a,product(b,c)),bigC(a,b,product(a,b)))
    | product(product(a,bigC(b,a,b)),c) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,b,product(a,b))),product(c,product(bigC(a,a,c),b))) )],[refute_0_14106,refute_0_14107]) ).

cnf(refute_0_14109,plain,
    product(product(a,bigC(b,a,b)),c) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,b)),c),product(product(a,product(b,c)),bigC(a,b,product(a,b)))) )],[refute_0_14091,refute_0_14108]) ).

cnf(refute_0_14110,plain,
    ( product(product(X_23,product(a,bigC(b,a,b))),c) != product(product(X_23,c),product(product(a,bigC(b,a,b)),c))
    | product(product(a,bigC(b,a,b)),c) != product(c,product(bigC(a,a,c),b))
    | product(product(X_23,product(a,bigC(b,a,b))),c) = product(product(X_23,c),product(c,product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,product(a,bigC(b,a,b))),c),product(product(X_23,c),product(product(a,bigC(b,a,b)),c))) ),[1,1],$fot(product(c,product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_14111,plain,
    ( product(product(X_23,product(a,bigC(b,a,b))),c) != product(product(X_23,c),product(product(a,bigC(b,a,b)),c))
    | product(product(X_23,product(a,bigC(b,a,b))),c) = product(product(X_23,c),product(c,product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,b)),c),product(c,product(bigC(a,a,c),b))) )],[refute_0_14109,refute_0_14110]) ).

cnf(refute_0_14112,plain,
    product(product(X_23,product(a,bigC(b,a,b))),c) = product(product(X_23,c),product(c,product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(a,bigC(b,a,b))),c),product(product(X_23,c),product(product(a,bigC(b,a,b)),c))) )],[refute_0_13670,refute_0_14111]) ).

cnf(refute_0_14113,plain,
    ( product(product(X_23,product(a,bigC(b,a,b))),c) != product(product(X_23,c),product(c,product(bigC(a,a,c),b)))
    | product(product(X_23,c),product(c,product(bigC(a,a,c),b))) = product(product(X_23,product(a,bigC(b,a,b))),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,product(a,bigC(b,a,b))),c))),bind(Y,$fot(product(product(X_23,c),product(c,product(bigC(a,a,c),b)))))]]) ).

cnf(refute_0_14114,plain,
    product(product(X_23,c),product(c,product(bigC(a,a,c),b))) = product(product(X_23,product(a,bigC(b,a,b))),c),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(a,bigC(b,a,b))),c),product(product(X_23,c),product(c,product(bigC(a,a,c),b)))) )],[refute_0_14112,refute_0_14113]) ).

cnf(refute_0_14115,plain,
    product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) = product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c),
    inference(subst,[],[refute_0_14114:[bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14116,plain,
    ( product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) != product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c)
    | product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))))),bind(Y,$fot(product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14117,plain,
    ( product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))),product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c)) )],[refute_0_14115,refute_0_14116]) ).

cnf(refute_0_14118,plain,
    product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(a,bigC(b,a,b))),c),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_13669,refute_0_14117]) ).

cnf(refute_0_14119,plain,
    product(product(a,c),product(bigC(b,a,b),c)) = product(product(a,bigC(b,a,b)),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(a)),bind(X_24,$fot(bigC(b,a,b))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_14120,plain,
    ( product(product(a,bigC(b,a,b)),c) != product(c,product(bigC(a,a,c),b))
    | product(product(a,c),product(bigC(b,a,b),c)) != product(product(a,bigC(b,a,b)),c)
    | product(product(a,c),product(bigC(b,a,b),c)) = product(c,product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(bigC(b,a,b),c)))),bind(Y,$fot(product(product(a,bigC(b,a,b)),c))),bind(Z,$fot(product(c,product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_14121,plain,
    ( product(product(a,bigC(b,a,b)),c) != product(c,product(bigC(a,a,c),b))
    | product(product(a,c),product(bigC(b,a,b),c)) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(b,a,b),c)),product(product(a,bigC(b,a,b)),c)) )],[refute_0_14119,refute_0_14120]) ).

cnf(refute_0_14122,plain,
    product(product(a,c),product(bigC(b,a,b),c)) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,b)),c),product(c,product(bigC(a,a,c),b))) )],[refute_0_14109,refute_0_14121]) ).

cnf(refute_0_14123,plain,
    bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18),product(c,product(c,b))),
    inference(subst,[],[refute_0_7:[bind(B,$fot(product(c,product(c,b)))),bind(X_19,$fot(difference(bigC(a,a,b),product(a,product(c,b)))))]]) ).

cnf(refute_0_14124,plain,
    difference(quotient(product(c,product(c,b)),bigC(a,a,b)),product(c,product(c,b))) = bigC(a,a,b),
    inference(subst,[],[refute_0_495:[bind(B,$fot(bigC(a,a,b))),bind(X_11,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14125,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) = quotient(product(c,product(c,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(quotient(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14126,plain,
    quotient(product(bigC(a,a,b),product(product(a,b),c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),
    inference(subst,[],[refute_0_272:[bind(B,$fot(bigC(a,a,b))),bind(X_44,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_14127,plain,
    ( product(bigC(a,a,b),product(product(a,b),c)) != product(a,product(b,c))
    | quotient(product(bigC(a,a,b),product(product(a,b),c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(a,b),c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14128,plain,
    ( quotient(product(bigC(a,a,b),product(product(a,b),c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),product(a,product(b,c))) )],[refute_0_9564,refute_0_14127]) ).

cnf(refute_0_14129,plain,
    quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(a,b),c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) )],[refute_0_14126,refute_0_14128]) ).

cnf(refute_0_14130,plain,
    quotient(product(product(a,b),c),bigC(a,a,b)) = quotient(product(product(a,b),c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),c),bigC(a,a,b)))]]) ).

cnf(refute_0_14131,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(product(a,b),c),bigC(a,a,b)) != quotient(product(product(a,b),c),bigC(a,a,b))
    | quotient(product(product(a,b),c),bigC(a,a,b)) = quotient(product(c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),c),bigC(a,a,b)),quotient(product(product(a,b),c),bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14132,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(product(a,b),c),bigC(a,a,b)) = quotient(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(a,a,b)),quotient(product(product(a,b),c),bigC(a,a,b))) )],[refute_0_14130,refute_0_14131]) ).

cnf(refute_0_14133,plain,
    quotient(product(product(a,b),c),bigC(a,a,b)) = quotient(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_14132]) ).

cnf(refute_0_14134,plain,
    product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) = product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))))]]) ).

cnf(refute_0_14135,plain,
    ( product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) != product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))
    | quotient(product(product(a,b),c),bigC(a,a,b)) != quotient(product(c,product(c,b)),bigC(a,a,b))
    | product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) ),[1,1],$fot(quotient(product(c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_14136,plain,
    ( quotient(product(product(a,b),c),bigC(a,a,b)) != quotient(product(c,product(c,b)),bigC(a,a,b))
    | product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) )],[refute_0_14134,refute_0_14135]) ).

cnf(refute_0_14137,plain,
    product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(a,a,b)),quotient(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_14133,refute_0_14136]) ).

cnf(refute_0_14138,plain,
    ( product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))) != product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) ),[1],$fot(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14139,plain,
    ( quotient(product(a,product(b,c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b))),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_14137,refute_0_14138]) ).

cnf(refute_0_14140,plain,
    quotient(product(a,product(b,c)),bigC(a,a,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(product(a,b),c),bigC(a,a,b)))) )],[refute_0_14129,refute_0_14139]) ).

cnf(refute_0_14141,plain,
    quotient(product(product(a,product(c,b)),bigC(c,a,c)),bigC(c,a,c)) = product(a,product(c,b)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_14142,plain,
    ( product(product(a,product(c,b)),bigC(c,a,c)) != product(a,product(b,c))
    | quotient(product(product(a,product(c,b)),bigC(c,a,c)),bigC(c,a,c)) != product(a,product(c,b))
    | quotient(product(a,product(b,c)),bigC(c,a,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(c,b)),bigC(c,a,c)),bigC(c,a,c)),product(a,product(c,b))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14143,plain,
    ( quotient(product(product(a,product(c,b)),bigC(c,a,c)),bigC(c,a,c)) != product(a,product(c,b))
    | quotient(product(a,product(b,c)),bigC(c,a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),product(a,product(b,c))) )],[refute_0_13332,refute_0_14142]) ).

cnf(refute_0_14144,plain,
    quotient(product(a,product(b,c)),bigC(c,a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),bigC(c,a,c)),bigC(c,a,c)),product(a,product(c,b))) )],[refute_0_14141,refute_0_14143]) ).

cnf(refute_0_14145,plain,
    quotient(product(a,product(b,c)),bigC(c,a,c)) = quotient(product(a,product(b,c)),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),bigC(c,a,c)))]]) ).

cnf(refute_0_14146,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(product(a,product(b,c)),bigC(c,a,c)) != quotient(product(a,product(b,c)),bigC(c,a,c))
    | quotient(product(a,product(b,c)),bigC(c,a,c)) = quotient(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,c)),quotient(product(a,product(b,c)),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14147,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(product(a,product(b,c)),bigC(c,a,c)) = quotient(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,c)),quotient(product(a,product(b,c)),bigC(c,a,c))) )],[refute_0_14145,refute_0_14146]) ).

cnf(refute_0_14148,plain,
    quotient(product(a,product(b,c)),bigC(c,a,c)) = quotient(product(a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_14147]) ).

cnf(refute_0_14149,plain,
    ( quotient(product(a,product(b,c)),bigC(c,a,c)) != product(a,product(c,b))
    | quotient(product(a,product(b,c)),bigC(c,a,c)) != quotient(product(a,product(b,c)),bigC(a,a,b))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,c)),product(a,product(c,b))) ),[0],$fot(quotient(product(a,product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_14150,plain,
    ( quotient(product(a,product(b,c)),bigC(c,a,c)) != product(a,product(c,b))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,c)),quotient(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_14148,refute_0_14149]) ).

cnf(refute_0_14151,plain,
    quotient(product(a,product(b,c)),bigC(a,a,b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(c,a,c)),product(a,product(c,b))) )],[refute_0_14144,refute_0_14150]) ).

cnf(refute_0_14152,plain,
    ( quotient(product(a,product(b,c)),bigC(a,a,b)) != product(a,product(c,b))
    | quotient(product(a,product(b,c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))
    | product(a,product(c,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_14153,plain,
    ( quotient(product(a,product(b,c)),bigC(a,a,b)) != product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))
    | product(a,product(c,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(a,a,b)),product(a,product(c,b))) )],[refute_0_14151,refute_0_14152]) ).

cnf(refute_0_14154,plain,
    product(a,product(c,b)) = product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_14140,refute_0_14153]) ).

cnf(refute_0_14155,plain,
    ( product(a,product(c,b)) != product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))
    | product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))))]]) ).

cnf(refute_0_14156,plain,
    product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_14154,refute_0_14155]) ).

cnf(refute_0_14157,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) != quotient(product(c,product(c,b)),bigC(a,a,b))
    | product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) != product(a,product(c,b))
    | difference(bigC(a,a,b),product(a,product(c,b))) = quotient(product(c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))),quotient(product(c,product(c,b)),bigC(a,a,b))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_14158,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))) != quotient(product(c,product(c,b)),bigC(a,a,b))
    | difference(bigC(a,a,b),product(a,product(c,b))) = quotient(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(a,product(c,b))) )],[refute_0_14156,refute_0_14157]) ).

cnf(refute_0_14159,plain,
    difference(bigC(a,a,b),product(a,product(c,b))) = quotient(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)))),quotient(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_14125,refute_0_14158]) ).

cnf(refute_0_14160,plain,
    ( difference(bigC(a,a,b),product(a,product(c,b))) != quotient(product(c,product(c,b)),bigC(a,a,b))
    | quotient(product(c,product(c,b)),bigC(a,a,b)) = difference(bigC(a,a,b),product(a,product(c,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(bigC(a,a,b),product(a,product(c,b))))),bind(Y,$fot(quotient(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14161,plain,
    quotient(product(c,product(c,b)),bigC(a,a,b)) = difference(bigC(a,a,b),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(c,b))),quotient(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_14159,refute_0_14160]) ).

cnf(refute_0_14162,plain,
    ( difference(quotient(product(c,product(c,b)),bigC(a,a,b)),product(c,product(c,b))) != bigC(a,a,b)
    | quotient(product(c,product(c,b)),bigC(a,a,b)) != difference(bigC(a,a,b),product(a,product(c,b)))
    | difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(c,product(c,b)),bigC(a,a,b)),product(c,product(c,b))),bigC(a,a,b)) ),[0,0],$fot(difference(bigC(a,a,b),product(a,product(c,b))))]]) ).

cnf(refute_0_14163,plain,
    ( difference(quotient(product(c,product(c,b)),bigC(a,a,b)),product(c,product(c,b))) != bigC(a,a,b)
    | difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(a,a,b)),difference(bigC(a,a,b),product(a,product(c,b)))) )],[refute_0_14161,refute_0_14162]) ).

cnf(refute_0_14164,plain,
    difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(quotient(product(c,product(c,b)),bigC(a,a,b)),product(c,product(c,b))),bigC(a,a,b)) )],[refute_0_14124,refute_0_14163]) ).

cnf(refute_0_14165,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) != bigC(a,a,b)
    | bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),X_18),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18),product(c,product(c,b)))) ),[1,0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14166,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),X_18),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),bigC(a,a,b)) )],[refute_0_14164,refute_0_14165]) ).

cnf(refute_0_14167,plain,
    bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),X_18),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18),product(c,product(c,b)))) )],[refute_0_14123,refute_0_14166]) ).

cnf(refute_0_14168,plain,
    product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) = product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),
    introduced(tautology,[refl,[$fot(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c))]]) ).

cnf(refute_0_14169,plain,
    ( difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) != bigC(a,a,b)
    | product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) != product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c)
    | product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14170,plain,
    ( difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))) != bigC(a,a,b)
    | product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c)) )],[refute_0_14168,refute_0_14169]) ).

cnf(refute_0_14171,plain,
    product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),bigC(a,a,b)) )],[refute_0_14164,refute_0_14170]) ).

cnf(refute_0_14172,plain,
    product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) = product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))))]]) ).

cnf(refute_0_14173,plain,
    ( product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) != product(bigC(a,a,b),c)
    | product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) != product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b)))
    | product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))),product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b)))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_14174,plain,
    ( product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c) != product(bigC(a,a,b),c)
    | product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))),product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b)))) )],[refute_0_14172,refute_0_14173]) ).

cnf(refute_0_14175,plain,
    product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(bigC(a,a,b),c)) )],[refute_0_14171,refute_0_14174]) ).

cnf(refute_0_14176,plain,
    bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))),
    inference(subst,[],[refute_0_13413:[bind(B,$fot(c)),bind(C,$fot(X_18)),bind(D,$fot(product(c,b))),bind(X_72,$fot(difference(bigC(a,a,b),product(a,product(c,b)))))]]) ).

cnf(refute_0_14177,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b)))
    | product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) != product(product(bigC(a,a,b),c),product(X_18,product(c,b)))
    | bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))))),bind(Y,$fot(product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))))),bind(Z,$fot(product(product(bigC(a,a,b),c),product(X_18,product(c,b)))))]]) ).

cnf(refute_0_14178,plain,
    ( product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))) != product(product(bigC(a,a,b),c),product(X_18,product(c,b)))
    | bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b)))) )],[refute_0_14176,refute_0_14177]) ).

cnf(refute_0_14179,plain,
    bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) = product(product(bigC(a,a,b),c),product(X_18,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),c),product(X_18,product(c,b))),product(product(bigC(a,a,b),c),product(X_18,product(c,b)))) )],[refute_0_14175,refute_0_14178]) ).

cnf(refute_0_14180,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(bigC(a,a,b),X_18),product(c,product(c,b)))
    | bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(bigC(a,a,b),c),product(X_18,product(c,b)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = product(product(bigC(a,a,b),X_18),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(bigC(a,a,b),X_18),product(c,product(c,b)))) ),[0],$fot(product(product(bigC(a,a,b),c),product(X_18,product(c,b))))]]) ).

cnf(refute_0_14181,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(bigC(a,a,b),X_18),product(c,product(c,b)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = product(product(bigC(a,a,b),X_18),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(bigC(a,a,b),c),product(X_18,product(c,b)))) )],[refute_0_14179,refute_0_14180]) ).

cnf(refute_0_14182,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(bigC(c,a,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(c,a,c))),bind(X_25,$fot(X_66)),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_14183,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(bigC(c,a,c),bigC(b,b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(bigC(c,a,c),bigC(b,b,c)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_14184,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(bigC(c,a,c),bigC(b,b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) )],[refute_0_965,refute_0_14183]) ).

cnf(refute_0_14185,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(bigC(c,a,c),bigC(b,b,c)))) )],[refute_0_14182,refute_0_14184]) ).

cnf(refute_0_14186,plain,
    product(product(bigC(c,a,c),X_66),product(product(c,a),b)) = product(product(bigC(c,a,c),X_66),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),X_66),product(product(c,a),b)))]]) ).

cnf(refute_0_14187,plain,
    ( product(product(bigC(c,a,c),X_66),product(product(c,a),b)) != product(product(bigC(c,a,c),X_66),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(c,a,c),X_66),product(product(c,a),b)) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(product(c,a),b)),product(product(bigC(c,a,c),X_66),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14188,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(c,a,c),X_66),product(product(c,a),b)) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(product(c,a),b)),product(product(bigC(c,a,c),X_66),product(product(c,a),b))) )],[refute_0_14186,refute_0_14187]) ).

cnf(refute_0_14189,plain,
    product(product(bigC(c,a,c),X_66),product(product(c,a),b)) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_14188]) ).

cnf(refute_0_14190,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(product(c,a),b))
    | product(product(bigC(c,a,c),X_66),product(product(c,a),b)) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) ),[0],$fot(product(product(bigC(c,a,c),X_66),product(product(c,a),b)))]]) ).

cnf(refute_0_14191,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(product(c,a),b))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(product(c,a),b)),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) )],[refute_0_14189,refute_0_14190]) ).

cnf(refute_0_14192,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(product(c,a),b))) )],[refute_0_14185,refute_0_14191]) ).

cnf(refute_0_14193,plain,
    bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(a,b))),bind(C,$fot(quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14194,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) = product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(bigC(b,a,bigC(c,a,b)))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_14195,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) ),[0,1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_14196,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_14195]) ).

cnf(refute_0_14197,plain,
    quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = product(product(bigC(b,a,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),bigC(b,a,bigC(c,a,b))))),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_14194,refute_0_14196]) ).

cnf(refute_0_14198,plain,
    product(product(a,b),product(product(c,a),b)) = product(bigC(a,a,c),product(b,b)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(a)),bind(B,$fot(b)),bind(D,$fot(b)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_14199,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_32:[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_14200,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_14198,refute_0_14199]) ).

cnf(refute_0_14201,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_5082,refute_0_14200]) ).

cnf(refute_0_14202,plain,
    quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = quotient(product(a,b),product(product(a,b),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),product(product(a,b),product(product(c,a),b))))]]) ).

cnf(refute_0_14203,plain,
    ( product(product(a,b),product(product(c,a),b)) != product(bigC(a,a,c),b)
    | quotient(product(a,b),product(product(a,b),product(product(c,a),b))) != quotient(product(a,b),product(product(a,b),product(product(c,a),b)))
    | quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = quotient(product(a,b),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(c,a),b))),quotient(product(a,b),product(product(a,b),product(product(c,a),b)))) ),[1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_14204,plain,
    ( product(product(a,b),product(product(c,a),b)) != product(bigC(a,a,c),b)
    | quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = quotient(product(a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(c,a),b))),quotient(product(a,b),product(product(a,b),product(product(c,a),b)))) )],[refute_0_14202,refute_0_14203]) ).

cnf(refute_0_14205,plain,
    quotient(product(a,b),product(product(a,b),product(product(c,a),b))) = quotient(product(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_14201,refute_0_14204]) ).

cnf(refute_0_14206,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(c,a),b))) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(c,a),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,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(c,a),b))),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) ),[0],$fot(quotient(product(a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_14207,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(c,a),b))) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(c,a),b))),quotient(product(a,b),product(bigC(a,a,c),b))) )],[refute_0_14205,refute_0_14206]) ).

cnf(refute_0_14208,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,[],[refute_0_27:[bind(A,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_14209,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_14210,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_4546,refute_0_14209]) ).

cnf(refute_0_14211,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_14208,refute_0_14210]) ).

cnf(refute_0_14212,plain,
    product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),
    inference(subst,[],[refute_0_14211:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_14213,plain,
    product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) = product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(b,a,bigC(c,a,b)))),bind(B,$fot(a)),bind(C,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_14214,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)) != product(quotient(product(a,b),product(product(a,c),b)),product(a,b))
    | product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) != product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b))
    | product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)))),bind(Y,$fot(product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)))),bind(Z,$fot(product(quotient(product(a,b),product(product(a,c),b)),product(a,b))))]]) ).

cnf(refute_0_14215,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)) != product(quotient(product(a,b),product(product(a,c),b)),product(a,b))
    | product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b))) )],[refute_0_14213,refute_0_14214]) ).

cnf(refute_0_14216,plain,
    product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),a),product(product(a,b),b)),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))) )],[refute_0_14212,refute_0_14215]) ).

cnf(refute_0_14217,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)) != product(quotient(product(a,b),product(product(a,c),b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) ),[1],$fot(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_14218,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))) )],[refute_0_14216,refute_0_14217]) ).

cnf(refute_0_14219,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(c,a),b))) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_14207,refute_0_14218]) ).

cnf(refute_0_14220,plain,
    quotient(product(a,b),product(bigC(a,a,c),b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(c,a),b))),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_14197,refute_0_14219]) ).

cnf(refute_0_14221,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != 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(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(product(a,b),product(bigC(a,a,c),b)))),bind(Y,$fot(product(quotient(product(a,b),product(product(a,c),b)),product(a,b))))]]) ).

cnf(refute_0_14222,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = quotient(product(a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))) )],[refute_0_14220,refute_0_14221]) ).

cnf(refute_0_14223,plain,
    ( bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),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(bigC(a,a,c),b))
    | bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))) ),[1,1],$fot(quotient(product(a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_14224,plain,
    ( bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))
    | bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),quotient(product(a,b),product(bigC(a,a,c),b))) )],[refute_0_14222,refute_0_14223]) ).

cnf(refute_0_14225,plain,
    bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))) )],[refute_0_14193,refute_0_14224]) ).

cnf(refute_0_14226,plain,
    bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14227,plain,
    ( bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b)))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b)))) ),[1,2],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_14228,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_14226,refute_0_14227]) ).

cnf(refute_0_14229,plain,
    bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) = bigC(product(a,b),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,c),product(a,b))) )],[refute_0_4622,refute_0_14228]) ).

cnf(refute_0_14230,plain,
    ( bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != bigC(product(a,b),B,product(bigC(b,a,c),product(a,b)))
    | bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))) ),[0],$fot(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))))]]) ).

cnf(refute_0_14231,plain,
    ( bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),bigC(product(a,b),B,product(bigC(b,a,c),product(a,b)))) )],[refute_0_14229,refute_0_14230]) ).

cnf(refute_0_14232,plain,
    bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,quotient(product(a,b),product(product(a,c),b))),product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14225,refute_0_14231]) ).

cnf(refute_0_14233,plain,
    difference(product(a,b),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) = quotient(product(a,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,b))),bind(B,$fot(quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14234,plain,
    ( difference(product(a,b),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) != quotient(product(a,b),product(product(a,c),b))
    | product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),a),b)
    | difference(product(a,b),product(product(product(c,a),a),b)) = quotient(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))),quotient(product(a,b),product(product(a,c),b))) ),[0,1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_14235,plain,
    ( difference(product(a,b),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) != quotient(product(a,b),product(product(a,c),b))
    | difference(product(a,b),product(product(product(c,a),a),b)) = quotient(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),a),b)) )],[refute_0_4691,refute_0_14234]) ).

cnf(refute_0_14236,plain,
    difference(product(a,b),product(product(product(c,a),a),b)) = quotient(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))),quotient(product(a,b),product(product(a,c),b))) )],[refute_0_14233,refute_0_14235]) ).

cnf(refute_0_14237,plain,
    ( difference(product(a,b),product(product(product(c,a),a),b)) != quotient(product(a,b),product(product(a,c),b))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | difference(product(a,b),product(product(product(c,a),a),b)) = product(bigC(b,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(product(product(c,a),a),b)),product(bigC(b,a,c),product(a,b))) ),[0],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_14238,plain,
    ( difference(product(a,b),product(product(product(c,a),a),b)) != quotient(product(a,b),product(product(a,c),b))
    | difference(product(a,b),product(product(product(c,a),a),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,c),product(a,b))) )],[refute_0_4622,refute_0_14237]) ).

cnf(refute_0_14239,plain,
    difference(product(a,b),product(product(product(c,a),a),b)) = product(bigC(b,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),quotient(product(a,b),product(product(a,c),b))) )],[refute_0_14236,refute_0_14238]) ).

cnf(refute_0_14240,plain,
    difference(product(a,b),product(a,product(b,product(b,c)))) = product(a,product(b,c)),
    inference(subst,[],[refute_0_12261:[bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(product(b,c)))]]) ).

cnf(refute_0_14241,plain,
    difference(product(a,b),product(product(product(c,a),a),b)) = difference(product(a,b),product(product(product(c,a),a),b)),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_14242,plain,
    ( difference(product(a,b),product(product(product(c,a),a),b)) != difference(product(a,b),product(product(product(c,a),a),b))
    | product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | difference(product(a,b),product(product(product(c,a),a),b)) = difference(product(a,b),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),difference(product(a,b),product(product(product(c,a),a),b))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_14243,plain,
    ( product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | difference(product(a,b),product(product(product(c,a),a),b)) = difference(product(a,b),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),difference(product(a,b),product(product(product(c,a),a),b))) )],[refute_0_14241,refute_0_14242]) ).

cnf(refute_0_14244,plain,
    difference(product(a,b),product(product(product(c,a),a),b)) = difference(product(a,b),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(a,product(b,product(b,c)))) )],[refute_0_4768,refute_0_14243]) ).

cnf(refute_0_14245,plain,
    ( difference(product(a,b),product(a,product(b,product(b,c)))) != product(a,product(b,c))
    | difference(product(a,b),product(product(product(c,a),a),b)) != difference(product(a,b),product(a,product(b,product(b,c))))
    | difference(product(a,b),product(product(product(c,a),a),b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(a,b),product(product(product(c,a),a),b)))),bind(Y,$fot(difference(product(a,b),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_14246,plain,
    ( difference(product(a,b),product(a,product(b,product(b,c)))) != product(a,product(b,c))
    | difference(product(a,b),product(product(product(c,a),a),b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),difference(product(a,b),product(a,product(b,product(b,c))))) )],[refute_0_14244,refute_0_14245]) ).

cnf(refute_0_14247,plain,
    difference(product(a,b),product(product(product(c,a),a),b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,product(b,c)))),product(a,product(b,c))) )],[refute_0_14240,refute_0_14246]) ).

cnf(refute_0_14248,plain,
    ( difference(product(a,b),product(product(product(c,a),a),b)) != product(a,product(b,c))
    | difference(product(a,b),product(product(product(c,a),a),b)) != product(bigC(b,a,c),product(a,b))
    | product(a,product(b,c)) = product(bigC(b,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),product(bigC(b,a,c),product(a,b))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14249,plain,
    ( difference(product(a,b),product(product(product(c,a),a),b)) != product(bigC(b,a,c),product(a,b))
    | product(a,product(b,c)) = product(bigC(b,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),product(a,product(b,c))) )],[refute_0_14247,refute_0_14248]) ).

cnf(refute_0_14250,plain,
    product(a,product(b,c)) = product(bigC(b,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(c,a),a),b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_14239,refute_0_14249]) ).

cnf(refute_0_14251,plain,
    ( product(a,product(b,c)) != product(bigC(b,a,c),product(a,b))
    | product(bigC(b,a,c),product(a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(bigC(b,a,c),product(a,b))))]]) ).

cnf(refute_0_14252,plain,
    product(bigC(b,a,c),product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(bigC(b,a,c),product(a,b))) )],[refute_0_14250,refute_0_14251]) ).

cnf(refute_0_14253,plain,
    bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))))]]) ).

cnf(refute_0_14254,plain,
    ( bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) != bigC(product(a,b),B,product(bigC(b,a,c),product(a,b)))
    | product(bigC(b,a,c),product(a,b)) != product(a,product(b,c))
    | bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = bigC(product(a,b),B,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),bigC(product(a,b),B,product(bigC(b,a,c),product(a,b)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14255,plain,
    ( product(bigC(b,a,c),product(a,b)) != product(a,product(b,c))
    | bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = bigC(product(a,b),B,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),bigC(product(a,b),B,product(bigC(b,a,c),product(a,b)))) )],[refute_0_14253,refute_0_14254]) ).

cnf(refute_0_14256,plain,
    bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) = bigC(product(a,b),B,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(a,b)),product(a,product(b,c))) )],[refute_0_14252,refute_0_14255]) ).

cnf(refute_0_14257,plain,
    ( bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) != bigC(product(a,b),B,product(a,product(b,c)))
    | bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(a,product(b,c))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))) ),[0],$fot(bigC(product(a,b),B,product(a,product(b,c))))]]) ).

cnf(refute_0_14258,plain,
    ( bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(a,product(b,c))) = product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),bigC(product(a,b),B,product(a,product(b,c)))) )],[refute_0_14256,refute_0_14257]) ).

cnf(refute_0_14259,plain,
    product(bigC(a,b,a),product(B,bigC(b,b,c))) = product(bigC(a,b,a),product(B,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(B,bigC(b,b,c))))]]) ).

cnf(refute_0_14260,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(B,bigC(b,b,c))) != product(bigC(a,b,a),product(B,bigC(b,b,c)))
    | product(bigC(a,b,a),product(B,bigC(b,b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(B,bigC(b,b,c))),product(bigC(a,b,a),product(B,bigC(b,b,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14261,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(B,bigC(b,b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,bigC(b,b,c))),product(bigC(a,b,a),product(B,bigC(b,b,c)))) )],[refute_0_14259,refute_0_14260]) ).

cnf(refute_0_14262,plain,
    product(bigC(a,b,a),product(B,bigC(b,b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_1877,refute_0_14261]) ).

cnf(refute_0_14263,plain,
    product(product(product(a,b),B),product(a,bigC(b,b,c))) = product(bigC(a,b,a),product(B,bigC(b,b,c))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(B)),bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_14264,plain,
    product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,C),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(quotient(product(a,b),product(product(a,c),b)))),bind(D,$fot(product(a,b)))]]) ).

cnf(refute_0_14265,plain,
    ( product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,C),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(bigC(a,a,c),b))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,C),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))) ),[1,1],$fot(quotient(product(a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_14266,plain,
    ( product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,C),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),quotient(product(a,b),product(bigC(a,a,c),b))) )],[refute_0_14222,refute_0_14265]) ).

cnf(refute_0_14267,plain,
    product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,C),product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))) )],[refute_0_14264,refute_0_14266]) ).

cnf(refute_0_14268,plain,
    product(A,quotient(product(a,b),product(product(a,c),b))) = product(A,quotient(product(a,b),product(product(a,c),b))),
    introduced(tautology,[refl,[$fot(product(A,quotient(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14269,plain,
    ( product(A,quotient(product(a,b),product(product(a,c),b))) != product(A,quotient(product(a,b),product(product(a,c),b)))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(A,quotient(product(a,b),product(product(a,c),b))) = product(A,product(bigC(b,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,quotient(product(a,b),product(product(a,c),b))),product(A,quotient(product(a,b),product(product(a,c),b)))) ),[1,1],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_14270,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(A,quotient(product(a,b),product(product(a,c),b))) = product(A,product(bigC(b,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(A,quotient(product(a,b),product(product(a,c),b))),product(A,quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_14268,refute_0_14269]) ).

cnf(refute_0_14271,plain,
    product(A,quotient(product(a,b),product(product(a,c),b))) = product(A,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,c),product(a,b))) )],[refute_0_4622,refute_0_14270]) ).

cnf(refute_0_14272,plain,
    product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))))]]) ).

cnf(refute_0_14273,plain,
    ( product(A,quotient(product(a,b),product(product(a,c),b))) != product(A,product(bigC(b,a,c),product(a,b)))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b)))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b)))) ),[1,0],$fot(product(A,product(bigC(b,a,c),product(a,b))))]]) ).

cnf(refute_0_14274,plain,
    ( product(A,quotient(product(a,b),product(product(a,c),b))) != product(A,product(bigC(b,a,c),product(a,b)))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b)))) )],[refute_0_14272,refute_0_14273]) ).

cnf(refute_0_14275,plain,
    product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) = product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),
    inference(resolve,[$cnf( $equal(product(A,quotient(product(a,b),product(product(a,c),b))),product(A,product(bigC(b,a,c),product(a,b)))) )],[refute_0_14271,refute_0_14274]) ).

cnf(refute_0_14276,plain,
    ( product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))) ),[0],$fot(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))))]]) ).

cnf(refute_0_14277,plain,
    ( product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))) != product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b)))) )],[refute_0_14275,refute_0_14276]) ).

cnf(refute_0_14278,plain,
    product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(A,quotient(product(a,b),product(product(a,c),b))),product(C,product(a,b))),product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14267,refute_0_14277]) ).

cnf(refute_0_14279,plain,
    product(product(A,C),product(a,product(product(b,c),b))) = product(product(A,C),product(a,product(product(b,c),b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(a,product(product(b,c),b))))]]) ).

cnf(refute_0_14280,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,b,c))
    | product(product(A,C),product(a,product(product(b,c),b))) != product(product(A,C),product(a,product(product(b,c),b)))
    | product(product(A,C),product(a,product(product(b,c),b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(a,product(product(b,c),b))),product(product(A,C),product(a,product(product(b,c),b)))) ),[1,1],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_14281,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,b,c))
    | product(product(A,C),product(a,product(product(b,c),b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,product(product(b,c),b))),product(product(A,C),product(a,product(product(b,c),b)))) )],[refute_0_14279,refute_0_14280]) ).

cnf(refute_0_14282,plain,
    product(product(A,C),product(a,product(product(b,c),b))) = product(product(A,C),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_8586,refute_0_14281]) ).

cnf(refute_0_14283,plain,
    product(product(A,product(a,product(b,c))),product(C,product(a,b))) = product(product(A,C),product(a,product(product(b,c),b))),
    inference(subst,[],[refute_0_3431:[bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c))),bind(X_67,$fot(b))]]) ).

cnf(refute_0_14284,plain,
    ( product(product(A,C),product(a,product(product(b,c),b))) != product(product(A,C),product(a,bigC(b,b,c)))
    | product(product(A,product(a,product(b,c))),product(C,product(a,b))) != product(product(A,C),product(a,product(product(b,c),b)))
    | product(product(A,product(a,product(b,c))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(A,product(a,product(b,c))),product(C,product(a,b))))),bind(Y,$fot(product(product(A,C),product(a,product(product(b,c),b))))),bind(Z,$fot(product(product(A,C),product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_14285,plain,
    ( product(product(A,C),product(a,product(product(b,c),b))) != product(product(A,C),product(a,bigC(b,b,c)))
    | product(product(A,product(a,product(b,c))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,product(b,c))),product(C,product(a,b))),product(product(A,C),product(a,product(product(b,c),b)))) )],[refute_0_14283,refute_0_14284]) ).

cnf(refute_0_14286,plain,
    product(product(A,product(a,product(b,c))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,product(product(b,c),b))),product(product(A,C),product(a,bigC(b,b,c)))) )],[refute_0_14282,refute_0_14285]) ).

cnf(refute_0_14287,plain,
    product(A,product(bigC(b,a,c),product(a,b))) = product(A,product(bigC(b,a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(A,product(bigC(b,a,c),product(a,b))))]]) ).

cnf(refute_0_14288,plain,
    ( product(A,product(bigC(b,a,c),product(a,b))) != product(A,product(bigC(b,a,c),product(a,b)))
    | product(bigC(b,a,c),product(a,b)) != product(a,product(b,c))
    | product(A,product(bigC(b,a,c),product(a,b))) = product(A,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,product(bigC(b,a,c),product(a,b))),product(A,product(bigC(b,a,c),product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14289,plain,
    ( product(bigC(b,a,c),product(a,b)) != product(a,product(b,c))
    | product(A,product(bigC(b,a,c),product(a,b))) = product(A,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(A,product(bigC(b,a,c),product(a,b))),product(A,product(bigC(b,a,c),product(a,b)))) )],[refute_0_14287,refute_0_14288]) ).

cnf(refute_0_14290,plain,
    product(A,product(bigC(b,a,c),product(a,b))) = product(A,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(a,b)),product(a,product(b,c))) )],[refute_0_14252,refute_0_14289]) ).

cnf(refute_0_14291,plain,
    product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))))]]) ).

cnf(refute_0_14292,plain,
    ( product(A,product(bigC(b,a,c),product(a,b))) != product(A,product(a,product(b,c)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) != product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,product(a,product(b,c))),product(C,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b)))) ),[1,0],$fot(product(A,product(a,product(b,c))))]]) ).

cnf(refute_0_14293,plain,
    ( product(A,product(bigC(b,a,c),product(a,b))) != product(A,product(a,product(b,c)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,product(a,product(b,c))),product(C,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b)))) )],[refute_0_14291,refute_0_14292]) ).

cnf(refute_0_14294,plain,
    product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,product(a,product(b,c))),product(C,product(a,b))),
    inference(resolve,[$cnf( $equal(product(A,product(bigC(b,a,c),product(a,b))),product(A,product(a,product(b,c)))) )],[refute_0_14290,refute_0_14293]) ).

cnf(refute_0_14295,plain,
    ( product(product(A,product(a,product(b,c))),product(C,product(a,b))) != product(product(A,C),product(a,bigC(b,b,c)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) != product(product(A,product(a,product(b,c))),product(C,product(a,b)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))))),bind(Y,$fot(product(product(A,product(a,product(b,c))),product(C,product(a,b))))),bind(Z,$fot(product(product(A,C),product(a,bigC(b,b,c)))))]]) ).

cnf(refute_0_14296,plain,
    ( product(product(A,product(a,product(b,c))),product(C,product(a,b))) != product(product(A,C),product(a,bigC(b,b,c)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,product(a,product(b,c))),product(C,product(a,b)))) )],[refute_0_14294,refute_0_14295]) ).

cnf(refute_0_14297,plain,
    product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) = product(product(A,C),product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,product(b,c))),product(C,product(a,b))),product(product(A,C),product(a,bigC(b,b,c)))) )],[refute_0_14286,refute_0_14296]) ).

cnf(refute_0_14298,plain,
    ( product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) != product(product(A,C),product(a,bigC(b,b,c)))
    | product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) != product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(A,C),product(a,bigC(b,b,c))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))) ),[0],$fot(product(product(A,C),product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_14299,plain,
    ( product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))) != product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(A,C),product(a,bigC(b,b,c))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,C),product(a,bigC(b,b,c)))) )],[refute_0_14297,refute_0_14298]) ).

cnf(refute_0_14300,plain,
    product(product(A,C),product(a,bigC(b,b,c))) = product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(b,a,c),product(a,b))),product(C,product(a,b))),product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14278,refute_0_14299]) ).

cnf(refute_0_14301,plain,
    ( product(product(A,C),product(a,bigC(b,b,c))) != product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) = product(product(A,C),product(a,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,C),product(a,bigC(b,b,c))))),bind(Y,$fot(product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))))]]) ).

cnf(refute_0_14302,plain,
    product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b))) = product(product(A,C),product(a,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(b,b,c))),product(product(A,C),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14300,refute_0_14301]) ).

cnf(refute_0_14303,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(product(product(a,b),B),product(a,bigC(b,b,c))),
    inference(subst,[],[refute_0_14302:[bind(A,$fot(product(a,b))),bind(C,$fot(B))]]) ).

cnf(refute_0_14304,plain,
    ( product(product(product(a,b),B),product(a,bigC(b,b,c))) != product(bigC(a,b,a),product(B,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) != product(product(product(a,b),B),product(a,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,b,a),product(B,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))))),bind(Y,$fot(product(product(product(a,b),B),product(a,bigC(b,b,c))))),bind(Z,$fot(product(bigC(a,b,a),product(B,bigC(b,b,c)))))]]) ).

cnf(refute_0_14305,plain,
    ( product(product(product(a,b),B),product(a,bigC(b,b,c))) != product(bigC(a,b,a),product(B,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,b,a),product(B,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))),product(product(product(a,b),B),product(a,bigC(b,b,c)))) )],[refute_0_14303,refute_0_14304]) ).

cnf(refute_0_14306,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,b,a),product(B,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(a,bigC(b,b,c))),product(bigC(a,b,a),product(B,bigC(b,b,c)))) )],[refute_0_14263,refute_0_14305]) ).

cnf(refute_0_14307,plain,
    ( product(bigC(a,b,a),product(B,bigC(b,b,c))) != product(bigC(a,a,b),product(B,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) != product(bigC(a,b,a),product(B,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))))),bind(Y,$fot(product(bigC(a,b,a),product(B,bigC(b,b,c))))),bind(Z,$fot(product(bigC(a,a,b),product(B,bigC(b,b,c)))))]]) ).

cnf(refute_0_14308,plain,
    ( product(bigC(a,b,a),product(B,bigC(b,b,c))) != product(bigC(a,a,b),product(B,bigC(b,b,c)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))),product(bigC(a,b,a),product(B,bigC(b,b,c)))) )],[refute_0_14306,refute_0_14307]) ).

cnf(refute_0_14309,plain,
    product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) = product(bigC(a,a,b),product(B,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,bigC(b,b,c))),product(bigC(a,a,b),product(B,bigC(b,b,c)))) )],[refute_0_14262,refute_0_14308]) ).

cnf(refute_0_14310,plain,
    ( bigC(product(a,b),B,product(a,product(b,c))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))) != product(bigC(a,a,b),product(B,bigC(b,b,c)))
    | bigC(product(a,b),B,product(a,product(b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),B,product(a,product(b,c))),product(bigC(a,a,b),product(B,bigC(b,b,c)))) ),[0],$fot(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_14311,plain,
    ( bigC(product(a,b),B,product(a,product(b,c))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(a,product(b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b))),product(bigC(a,a,b),product(B,bigC(b,b,c)))) )],[refute_0_14309,refute_0_14310]) ).

cnf(refute_0_14312,plain,
    ( bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))) != product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))
    | bigC(product(a,b),B,product(a,product(b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(a,product(b,c))),product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14258,refute_0_14311]) ).

cnf(refute_0_14313,plain,
    bigC(product(a,b),B,product(a,product(b,c))) = product(bigC(a,a,b),product(B,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(b,a,c),product(a,b))),product(product(product(a,b),B),quotient(product(a,b),product(bigC(a,a,c),b)))) )],[refute_0_14232,refute_0_14312]) ).

cnf(refute_0_14314,plain,
    ( bigC(product(a,b),B,product(a,product(b,c))) != product(bigC(a,a,b),product(B,bigC(b,b,c)))
    | product(bigC(a,a,b),product(B,bigC(b,b,c))) = bigC(product(a,b),B,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),B,product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,a,b),product(B,bigC(b,b,c)))))]]) ).

cnf(refute_0_14315,plain,
    product(bigC(a,a,b),product(B,bigC(b,b,c))) = bigC(product(a,b),B,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(a,product(b,c))),product(bigC(a,a,b),product(B,bigC(b,b,c)))) )],[refute_0_14313,refute_0_14314]) ).

cnf(refute_0_14316,plain,
    product(bigC(a,a,b),product(X_66,bigC(b,b,c))) = bigC(product(a,b),X_66,product(a,product(b,c))),
    inference(subst,[],[refute_0_14315:[bind(B,$fot(X_66))]]) ).

cnf(refute_0_14317,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(bigC(c,a,c),product(X_66,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(X_66,bigC(b,b,c))))]]) ).

cnf(refute_0_14318,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(bigC(c,a,c),product(X_66,bigC(b,b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(bigC(a,a,b),product(X_66,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(bigC(c,a,c),product(X_66,bigC(b,b,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14319,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(bigC(a,a,b),product(X_66,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(bigC(c,a,c),product(X_66,bigC(b,b,c)))) )],[refute_0_14317,refute_0_14318]) ).

cnf(refute_0_14320,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = product(bigC(a,a,b),product(X_66,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_14319]) ).

cnf(refute_0_14321,plain,
    ( product(bigC(a,a,b),product(X_66,bigC(b,b,c))) != bigC(product(a,b),X_66,product(a,product(b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(bigC(a,a,b),product(X_66,bigC(b,b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = bigC(product(a,b),X_66,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,a,c),product(X_66,bigC(b,b,c))))),bind(Y,$fot(product(bigC(a,a,b),product(X_66,bigC(b,b,c))))),bind(Z,$fot(bigC(product(a,b),X_66,product(a,product(b,c)))))]]) ).

cnf(refute_0_14322,plain,
    ( product(bigC(a,a,b),product(X_66,bigC(b,b,c))) != bigC(product(a,b),X_66,product(a,product(b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = bigC(product(a,b),X_66,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(bigC(a,a,b),product(X_66,bigC(b,b,c)))) )],[refute_0_14320,refute_0_14321]) ).

cnf(refute_0_14323,plain,
    product(bigC(c,a,c),product(X_66,bigC(b,b,c))) = bigC(product(a,b),X_66,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_66,bigC(b,b,c))),bigC(product(a,b),X_66,product(a,product(b,c)))) )],[refute_0_14316,refute_0_14322]) ).

cnf(refute_0_14324,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != bigC(product(a,b),X_66,product(a,product(b,c)))
    | product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) ),[0],$fot(bigC(product(a,b),X_66,product(a,product(b,c))))]]) ).

cnf(refute_0_14325,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),bigC(product(a,b),X_66,product(a,product(b,c)))) )],[refute_0_14323,refute_0_14324]) ).

cnf(refute_0_14326,plain,
    product(product(bigC(c,a,c),X_66),product(c,product(c,b))) = product(product(bigC(c,a,c),X_66),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),X_66),product(c,product(c,b))))]]) ).

cnf(refute_0_14327,plain,
    ( product(bigC(c,a,c),X_66) != product(bigC(a,a,b),X_66)
    | product(product(bigC(c,a,c),X_66),product(c,product(c,b))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | product(product(bigC(c,a,c),X_66),product(c,product(c,b))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(c,product(c,b))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) ),[1,0],$fot(product(bigC(a,a,b),X_66))]]) ).

cnf(refute_0_14328,plain,
    ( product(bigC(c,a,c),X_66) != product(bigC(a,a,b),X_66)
    | product(product(bigC(c,a,c),X_66),product(c,product(c,b))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(c,product(c,b))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) )],[refute_0_14326,refute_0_14327]) ).

cnf(refute_0_14329,plain,
    product(product(bigC(c,a,c),X_66),product(c,product(c,b))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),X_66),product(bigC(a,a,b),X_66)) )],[refute_0_9247,refute_0_14328]) ).

cnf(refute_0_14330,plain,
    ( bigC(product(a,b),X_66,product(a,product(b,c))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | product(product(bigC(c,a,c),X_66),product(c,product(c,b))) != product(product(bigC(a,a,b),X_66),product(c,product(c,b)))
    | bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_66,product(a,product(b,c))),product(product(bigC(a,a,b),X_66),product(c,product(c,b)))) ),[0],$fot(product(product(bigC(c,a,c),X_66),product(c,product(c,b))))]]) ).

cnf(refute_0_14331,plain,
    ( bigC(product(a,b),X_66,product(a,product(b,c))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),X_66),product(c,product(c,b))),product(product(bigC(a,a,b),X_66),product(c,product(c,b)))) )],[refute_0_14329,refute_0_14330]) ).

cnf(refute_0_14332,plain,
    ( product(bigC(c,a,c),product(X_66,bigC(b,b,c))) != product(product(bigC(c,a,c),X_66),product(c,product(c,b)))
    | bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_66,product(a,product(b,c))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) )],[refute_0_14325,refute_0_14331]) ).

cnf(refute_0_14333,plain,
    bigC(product(a,b),X_66,product(a,product(b,c))) = product(product(bigC(a,a,b),X_66),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(X_66,bigC(b,b,c))),product(product(bigC(c,a,c),X_66),product(c,product(c,b)))) )],[refute_0_14192,refute_0_14332]) ).

cnf(refute_0_14334,plain,
    ( bigC(product(a,b),X_66,product(a,product(b,c))) != product(product(bigC(a,a,b),X_66),product(c,product(c,b)))
    | product(product(bigC(a,a,b),X_66),product(c,product(c,b))) = bigC(product(a,b),X_66,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(a,b),X_66,product(a,product(b,c))))),bind(Y,$fot(product(product(bigC(a,a,b),X_66),product(c,product(c,b)))))]]) ).

cnf(refute_0_14335,plain,
    product(product(bigC(a,a,b),X_66),product(c,product(c,b))) = bigC(product(a,b),X_66,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_66,product(a,product(b,c))),product(product(bigC(a,a,b),X_66),product(c,product(c,b)))) )],[refute_0_14333,refute_0_14334]) ).

cnf(refute_0_14336,plain,
    product(product(bigC(a,a,b),X_18),product(c,product(c,b))) = bigC(product(a,b),X_18,product(a,product(b,c))),
    inference(subst,[],[refute_0_14335:[bind(X_66,$fot(X_18))]]) ).

cnf(refute_0_14337,plain,
    ( product(product(bigC(a,a,b),X_18),product(c,product(c,b))) != bigC(product(a,b),X_18,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) != product(product(bigC(a,a,b),X_18),product(c,product(c,b)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = bigC(product(a,b),X_18,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_18,product(c,b))),product(product(bigC(a,a,b),X_18),product(c,product(c,b)))) ),[1],$fot(bigC(product(a,b),X_18,product(a,product(b,c))))]]) ).

cnf(refute_0_14338,plain,
    ( product(product(bigC(a,a,b),c),product(X_18,product(c,b))) != product(product(bigC(a,a,b),X_18),product(c,product(c,b)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = bigC(product(a,b),X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_18),product(c,product(c,b))),bigC(product(a,b),X_18,product(a,product(b,c)))) )],[refute_0_14336,refute_0_14337]) ).

cnf(refute_0_14339,plain,
    ( bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))) != product(product(bigC(a,a,b),X_18),product(c,product(c,b)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = bigC(product(a,b),X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_18,product(c,b))),product(product(bigC(a,a,b),X_18),product(c,product(c,b)))) )],[refute_0_14181,refute_0_14338]) ).

cnf(refute_0_14340,plain,
    product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = bigC(product(a,b),X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(bigC(a,a,b),product(a,product(c,b))),product(c,product(c,b))),X_18,difference(bigC(a,a,b),product(a,product(c,b)))),product(product(bigC(a,a,b),X_18),product(c,product(c,b)))) )],[refute_0_14167,refute_0_14339]) ).

cnf(refute_0_14341,plain,
    bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = product(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(C,bigC(a,a,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(quotient(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14342,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != product(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(C,bigC(a,a,b)))
    | product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))) != product(a,product(c,b))
    | bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = product(product(a,product(c,b)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),product(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(C,bigC(a,a,b)))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_14343,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != product(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = product(product(a,product(c,b)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(a,product(c,b))) )],[refute_0_14156,refute_0_14342]) ).

cnf(refute_0_14344,plain,
    bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = product(product(a,product(c,b)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),product(product(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b))),product(C,bigC(a,a,b)))) )],[refute_0_14341,refute_0_14343]) ).

cnf(refute_0_14345,plain,
    product(product(bigC(a,a,b),C),product(c,product(c,b))) = bigC(product(a,b),C,product(a,product(b,c))),
    inference(subst,[],[refute_0_14335:[bind(X_66,$fot(C))]]) ).

cnf(refute_0_14346,plain,
    bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = product(product(bigC(a,a,b),C),product(c,product(c,b))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(a,a,b))),bind(X_44,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14347,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != product(product(bigC(a,a,b),C),product(c,product(c,b)))
    | product(product(bigC(a,a,b),C),product(c,product(c,b))) != bigC(product(a,b),C,product(a,product(b,c)))
    | bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = bigC(product(a,b),C,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C))),bind(Y,$fot(product(product(bigC(a,a,b),C),product(c,product(c,b))))),bind(Z,$fot(bigC(product(a,b),C,product(a,product(b,c)))))]]) ).

cnf(refute_0_14348,plain,
    ( product(product(bigC(a,a,b),C),product(c,product(c,b))) != bigC(product(a,b),C,product(a,product(b,c)))
    | bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = bigC(product(a,b),C,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),product(product(bigC(a,a,b),C),product(c,product(c,b)))) )],[refute_0_14346,refute_0_14347]) ).

cnf(refute_0_14349,plain,
    bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) = bigC(product(a,b),C,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),C),product(c,product(c,b))),bigC(product(a,b),C,product(a,product(b,c)))) )],[refute_0_14345,refute_0_14348]) ).

cnf(refute_0_14350,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != bigC(product(a,b),C,product(a,product(b,c)))
    | bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != product(product(a,product(c,b)),product(C,bigC(a,a,b)))
    | bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,product(c,b)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),product(product(a,product(c,b)),product(C,bigC(a,a,b)))) ),[0],$fot(bigC(product(a,b),C,product(a,product(b,c))))]]) ).

cnf(refute_0_14351,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C) != product(product(a,product(c,b)),product(C,bigC(a,a,b)))
    | bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,product(c,b)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),bigC(product(a,b),C,product(a,product(b,c)))) )],[refute_0_14349,refute_0_14350]) ).

cnf(refute_0_14352,plain,
    bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,product(c,b)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,product(c,b)),bigC(a,a,b)),C),product(product(a,product(c,b)),product(C,bigC(a,a,b)))) )],[refute_0_14344,refute_0_14351]) ).

cnf(refute_0_14353,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_14354,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_14355,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_14353,refute_0_14354]) ).

cnf(refute_0_14356,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_1370,refute_0_14355]) ).

cnf(refute_0_14357,plain,
    product(bigC(c,c,b),c) = product(bigC(c,b,c),c),
    inference(subst,[],[refute_0_5859:[bind(X_86,$fot(c)),bind(X_87,$fot(b))]]) ).

cnf(refute_0_14358,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_32:[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_14359,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_3003,refute_0_14358]) ).

cnf(refute_0_14360,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_14357,refute_0_14359]) ).

cnf(refute_0_14361,plain,
    bigC(c,product(b,c),c) = bigC(c,c,product(b,c)),
    inference(subst,[],[refute_0_11892:[bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_14362,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | bigC(c,product(b,c),c) != bigC(c,c,product(b,c))
    | bigC(c,product(b,c),c) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(b,c),c))),bind(Y,$fot(bigC(c,c,product(b,c)))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_14363,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | bigC(c,product(b,c),c) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),c),bigC(c,c,product(b,c))) )],[refute_0_14361,refute_0_14362]) ).

cnf(refute_0_14364,plain,
    bigC(c,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_14360,refute_0_14363]) ).

cnf(refute_0_14365,plain,
    product(product(c,product(b,c)),c) = bigC(c,product(b,c),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(product(b,c)))]]) ).

cnf(refute_0_14366,plain,
    ( bigC(c,product(b,c),c) != product(bigC(c,b,c),c)
    | product(product(c,product(b,c)),c) != bigC(c,product(b,c),c)
    | product(product(c,product(b,c)),c) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(b,c)),c))),bind(Y,$fot(bigC(c,product(b,c),c))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_14367,plain,
    ( bigC(c,product(b,c),c) != product(bigC(c,b,c),c)
    | product(product(c,product(b,c)),c) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,c)),c),bigC(c,product(b,c),c)) )],[refute_0_14365,refute_0_14366]) ).

cnf(refute_0_14368,plain,
    product(product(c,product(b,c)),c) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),c),product(bigC(c,b,c),c)) )],[refute_0_14364,refute_0_14367]) ).

cnf(refute_0_14369,plain,
    ( product(bigC(c,b,c),c) != product(bigC(b,a,b),c)
    | product(product(c,product(b,c)),c) != product(bigC(c,b,c),c)
    | product(product(c,product(b,c)),c) = product(bigC(b,a,b),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(b,c)),c))),bind(Y,$fot(product(bigC(c,b,c),c))),bind(Z,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_14370,plain,
    ( product(bigC(c,b,c),c) != product(bigC(b,a,b),c)
    | product(product(c,product(b,c)),c) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,c)),c),product(bigC(c,b,c),c)) )],[refute_0_14368,refute_0_14369]) ).

cnf(refute_0_14371,plain,
    product(product(c,product(b,c)),c) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),c),product(bigC(b,a,b),c)) )],[refute_0_14356,refute_0_14370]) ).

cnf(refute_0_14372,plain,
    product(product(a,C),product(product(c,product(b,c)),c)) = product(product(a,C),product(product(c,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(product(a,C),product(product(c,product(b,c)),c)))]]) ).

cnf(refute_0_14373,plain,
    ( product(product(a,C),product(product(c,product(b,c)),c)) != product(product(a,C),product(product(c,product(b,c)),c))
    | product(product(c,product(b,c)),c) != product(bigC(b,a,b),c)
    | product(product(a,C),product(product(c,product(b,c)),c)) = product(product(a,C),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,C),product(product(c,product(b,c)),c)),product(product(a,C),product(product(c,product(b,c)),c))) ),[1,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_14374,plain,
    ( product(product(c,product(b,c)),c) != product(bigC(b,a,b),c)
    | product(product(a,C),product(product(c,product(b,c)),c)) = product(product(a,C),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,C),product(product(c,product(b,c)),c)),product(product(a,C),product(product(c,product(b,c)),c))) )],[refute_0_14372,refute_0_14373]) ).

cnf(refute_0_14375,plain,
    product(product(a,C),product(product(c,product(b,c)),c)) = product(product(a,C),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,c)),c),product(bigC(b,a,b),c)) )],[refute_0_14371,refute_0_14374]) ).

cnf(refute_0_14376,plain,
    product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) = product(product(A,C),product(product(X_104,b),bigC(a,a,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(X_104,b))),bind(D,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14377,plain,
    ( product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) != product(product(A,C),product(product(X_104,b),bigC(a,a,b)))
    | product(product(X_104,b),bigC(a,a,b)) != product(product(X_104,product(b,c)),c)
    | product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) = product(product(A,C),product(product(X_104,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_104,b)),product(C,bigC(a,a,b))),product(product(A,C),product(product(X_104,b),bigC(a,a,b)))) ),[1,1],$fot(product(product(X_104,product(b,c)),c))]]) ).

cnf(refute_0_14378,plain,
    ( product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) != product(product(A,C),product(product(X_104,b),bigC(a,a,b)))
    | product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) = product(product(A,C),product(product(X_104,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(X_104,b),bigC(a,a,b)),product(product(X_104,product(b,c)),c)) )],[refute_0_9137,refute_0_14377]) ).

cnf(refute_0_14379,plain,
    product(product(A,product(X_104,b)),product(C,bigC(a,a,b))) = product(product(A,C),product(product(X_104,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_104,b)),product(C,bigC(a,a,b))),product(product(A,C),product(product(X_104,b),bigC(a,a,b)))) )],[refute_0_14376,refute_0_14378]) ).

cnf(refute_0_14380,plain,
    product(product(a,product(c,b)),product(C,bigC(a,a,b))) = product(product(a,C),product(product(c,product(b,c)),c)),
    inference(subst,[],[refute_0_14379:[bind(A,$fot(a)),bind(X_104,$fot(c))]]) ).

cnf(refute_0_14381,plain,
    ( product(product(a,C),product(product(c,product(b,c)),c)) != product(product(a,C),product(bigC(b,a,b),c))
    | product(product(a,product(c,b)),product(C,bigC(a,a,b))) != product(product(a,C),product(product(c,product(b,c)),c))
    | product(product(a,product(c,b)),product(C,bigC(a,a,b))) = product(product(a,C),product(bigC(b,a,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,b)),product(C,bigC(a,a,b))))),bind(Y,$fot(product(product(a,C),product(product(c,product(b,c)),c)))),bind(Z,$fot(product(product(a,C),product(bigC(b,a,b),c))))]]) ).

cnf(refute_0_14382,plain,
    ( product(product(a,C),product(product(c,product(b,c)),c)) != product(product(a,C),product(bigC(b,a,b),c))
    | product(product(a,product(c,b)),product(C,bigC(a,a,b))) = product(product(a,C),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(C,bigC(a,a,b))),product(product(a,C),product(product(c,product(b,c)),c))) )],[refute_0_14380,refute_0_14381]) ).

cnf(refute_0_14383,plain,
    product(product(a,product(c,b)),product(C,bigC(a,a,b))) = product(product(a,C),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(a,C),product(product(c,product(b,c)),c)),product(product(a,C),product(bigC(b,a,b),c))) )],[refute_0_14375,refute_0_14382]) ).

cnf(refute_0_14384,plain,
    ( bigC(product(a,b),C,product(a,product(b,c))) != product(product(a,product(c,b)),product(C,bigC(a,a,b)))
    | product(product(a,product(c,b)),product(C,bigC(a,a,b))) != product(product(a,C),product(bigC(b,a,b),c))
    | bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,C),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),C,product(a,product(b,c))),product(product(a,C),product(bigC(b,a,b),c))) ),[0],$fot(product(product(a,product(c,b)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_14385,plain,
    ( bigC(product(a,b),C,product(a,product(b,c))) != product(product(a,product(c,b)),product(C,bigC(a,a,b)))
    | bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,C),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(C,bigC(a,a,b))),product(product(a,C),product(bigC(b,a,b),c))) )],[refute_0_14383,refute_0_14384]) ).

cnf(refute_0_14386,plain,
    bigC(product(a,b),C,product(a,product(b,c))) = product(product(a,C),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),C,product(a,product(b,c))),product(product(a,product(c,b)),product(C,bigC(a,a,b)))) )],[refute_0_14352,refute_0_14385]) ).

cnf(refute_0_14387,plain,
    bigC(product(a,b),X_18,product(a,product(b,c))) = product(product(a,X_18),product(bigC(b,a,b),c)),
    inference(subst,[],[refute_0_14386:[bind(C,$fot(X_18))]]) ).

cnf(refute_0_14388,plain,
    ( bigC(product(a,b),X_18,product(a,product(b,c))) != product(product(a,X_18),product(bigC(b,a,b),c))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) != bigC(product(a,b),X_18,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = product(product(a,X_18),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_18,product(c,b))),bigC(product(a,b),X_18,product(a,product(b,c)))) ),[1],$fot(product(product(a,X_18),product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_14389,plain,
    ( product(product(bigC(a,a,b),c),product(X_18,product(c,b))) != bigC(product(a,b),X_18,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = product(product(a,X_18),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_18,product(a,product(b,c))),product(product(a,X_18),product(bigC(b,a,b),c))) )],[refute_0_14387,refute_0_14388]) ).

cnf(refute_0_14390,plain,
    product(product(bigC(a,a,b),c),product(X_18,product(c,b))) = product(product(a,X_18),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_18,product(c,b))),bigC(product(a,b),X_18,product(a,product(b,c)))) )],[refute_0_14340,refute_0_14389]) ).

cnf(refute_0_14391,plain,
    product(product(bigC(a,a,b),c),product(c,product(c,b))) = product(product(a,c),product(bigC(b,a,b),c)),
    inference(subst,[],[refute_0_14390:[bind(X_18,$fot(c))]]) ).

cnf(refute_0_14392,plain,
    ( product(product(a,c),product(bigC(b,a,b),c)) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(c,product(c,b))) != product(product(a,c),product(bigC(b,a,b),c))
    | product(product(bigC(a,a,b),c),product(c,product(c,b))) = product(c,product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(c,product(c,b))))),bind(Y,$fot(product(product(a,c),product(bigC(b,a,b),c)))),bind(Z,$fot(product(c,product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_14393,plain,
    ( product(product(a,c),product(bigC(b,a,b),c)) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(c,product(c,b))) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(c,product(c,b))),product(product(a,c),product(bigC(b,a,b),c))) )],[refute_0_14391,refute_0_14392]) ).

cnf(refute_0_14394,plain,
    product(product(bigC(a,a,b),c),product(c,product(c,b))) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(b,a,b),c)),product(c,product(bigC(a,a,c),b))) )],[refute_0_14122,refute_0_14393]) ).

cnf(refute_0_14395,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))]]) ).

cnf(refute_0_14396,plain,
    ( product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) != product(c,product(c,b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(product(bigC(a,a,b),c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14397,plain,
    ( product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))) != product(c,product(c,b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(product(bigC(a,a,b),c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) )],[refute_0_14395,refute_0_14396]) ).

cnf(refute_0_14398,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(product(bigC(a,a,b),c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))),product(c,product(c,b))) )],[refute_0_13653,refute_0_14397]) ).

cnf(refute_0_14399,plain,
    ( product(product(bigC(a,a,b),c),product(c,product(c,b))) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) != product(product(bigC(a,a,b),c),product(c,product(c,b)))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(c,product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(c,product(c,b))))),bind(Z,$fot(product(c,product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_14400,plain,
    ( product(product(bigC(a,a,b),c),product(c,product(c,b))) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))),product(product(bigC(a,a,b),c),product(c,product(c,b)))) )],[refute_0_14398,refute_0_14399]) ).

cnf(refute_0_14401,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(c,product(c,b))),product(c,product(bigC(a,a,c),b))) )],[refute_0_14394,refute_0_14400]) ).

cnf(refute_0_14402,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))))]]) ).

cnf(refute_0_14403,plain,
    ( product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))) ),[1,1],$fot(product(c,product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_14404,plain,
    ( product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))) != product(c,product(bigC(a,a,c),b))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))) )],[refute_0_14402,refute_0_14403]) ).

cnf(refute_0_14405,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))),product(c,product(bigC(a,a,c),b))) )],[refute_0_14401,refute_0_14404]) ).

cnf(refute_0_14406,plain,
    ( product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) != product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b)))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14407,plain,
    ( product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b)))) )],[refute_0_14405,refute_0_14406]) ).

cnf(refute_0_14408,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(c,product(bigC(a,a,c),b))),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14118,refute_0_14407]) ).

cnf(refute_0_14409,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) != product(product(a,bigC(b,a,product(b,a))),c)
    | difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14410,plain,
    ( product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))) != product(product(a,bigC(b,a,product(b,a))),c)
    | difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)))))) )],[refute_0_12754,refute_0_14409]) ).

cnf(refute_0_14411,plain,
    difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b))))),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14408,refute_0_14410]) ).

cnf(refute_0_14412,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(a,bigC(b,a,product(b,a))),c)
    | difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))) ),[0],$fot(product(product(a,bigC(b,a,product(b,a))),c))]]) ).

cnf(refute_0_14413,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14411,refute_0_14412]) ).

cnf(refute_0_14414,plain,
    ( product(product(a,product(b,product(b,c))),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(bigC(a,a,b),product(c,b)),c) != product(product(a,product(b,product(b,c))),c)
    | product(product(bigC(a,a,b),product(c,b)),c) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),product(c,b)),c))),bind(Y,$fot(product(product(a,product(b,product(b,c))),c))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_14415,plain,
    ( product(product(a,product(b,product(b,c))),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(bigC(a,a,b),product(c,b)),c) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(product(a,product(b,product(b,c))),c)) )],[refute_0_7018,refute_0_14414]) ).

cnf(refute_0_14416,plain,
    product(product(bigC(a,a,b),product(c,b)),c) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_7107,refute_0_14415]) ).

cnf(refute_0_14417,plain,
    product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)),
    inference(subst,[],[refute_0_208:[bind(X_24,$fot(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_14418,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))) = bigC(b,a,b),
    inference(subst,[],[refute_0_11:[bind(A,$fot(bigC(a,a,bigC(a,a,c)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_14419,plain,
    bigC(product(c,a),product(c,a),product(bigC(b,b,c),product(c,a))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(product(c,a))),bind(X_36,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_14420,plain,
    ( bigC(product(c,a),product(c,a),product(bigC(b,b,c),product(c,a))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(b,b,c),product(c,a)) != product(b,bigC(a,a,c))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),product(bigC(b,b,c),product(c,a))),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) ),[0,2],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_14421,plain,
    ( bigC(product(c,a),product(c,a),product(bigC(b,b,c),product(c,a))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,a)),product(b,bigC(a,a,c))) )],[refute_0_3838,refute_0_14420]) ).

cnf(refute_0_14422,plain,
    bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(bigC(b,b,c),product(c,a))),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) )],[refute_0_14419,refute_0_14421]) ).

cnf(refute_0_14423,plain,
    product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) = product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))))]]) ).

cnf(refute_0_14424,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) != product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))
    | product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14425,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))) )],[refute_0_14423,refute_0_14424]) ).

cnf(refute_0_14426,plain,
    product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_1597,refute_0_14425]) ).

cnf(refute_0_14427,plain,
    product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)) = product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(a))]]) ).

cnf(refute_0_14428,plain,
    bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(b,bigC(a,a,c)))),bind(X_65,$fot(c)),bind(X_66,$fot(a)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_14429,plain,
    ( bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c))
    | product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)) != product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))))),bind(Y,$fot(product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)))),bind(Z,$fot(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))))]]) ).

cnf(refute_0_14430,plain,
    ( product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)) != product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))),product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c))) )],[refute_0_14428,refute_0_14429]) ).

cnf(refute_0_14431,plain,
    bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,bigC(a,a,c))),bigC(a,a,c)),product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))) )],[refute_0_14427,refute_0_14430]) ).

cnf(refute_0_14432,plain,
    ( bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))
    | product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) != product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))))),bind(Y,$fot(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))))),bind(Z,$fot(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))))]]) ).

cnf(refute_0_14433,plain,
    ( product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))) != product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))),product(bigC(c,c,b),bigC(a,a,bigC(a,a,c)))) )],[refute_0_14431,refute_0_14432]) ).

cnf(refute_0_14434,plain,
    bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) = product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),bigC(a,a,bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))) )],[refute_0_14426,refute_0_14433]) ).

cnf(refute_0_14435,plain,
    ( bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))
    | bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) ),[0],$fot(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))]]) ).

cnf(refute_0_14436,plain,
    ( bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c)))) )],[refute_0_14434,refute_0_14435]) ).

cnf(refute_0_14437,plain,
    product(product(c,product(product(c,product(c,b)),a)),product(c,a)) = product(c,product(product(product(c,product(c,b)),a),a)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(product(product(c,product(c,b)),a))),bind(X_26,$fot(a))]]) ).

cnf(refute_0_14438,plain,
    product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)))]]) ).

cnf(refute_0_14439,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(c,product(product(c,product(c,b)),a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(product(c,product(product(c,product(c,b)),a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) ),[1,0],$fot(product(c,product(product(c,product(c,b)),a)))]]) ).

cnf(refute_0_14440,plain,
    ( bigC(product(c,a),product(c,a),bigC(b,b,c)) != product(c,product(product(c,product(c,b)),a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(product(c,product(product(c,product(c,b)),a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) )],[refute_0_14438,refute_0_14439]) ).

cnf(refute_0_14441,plain,
    product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(product(c,product(product(c,product(c,b)),a)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,product(product(c,product(c,b)),a))) )],[refute_0_12968,refute_0_14440]) ).

cnf(refute_0_14442,plain,
    ( product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) != product(product(c,product(product(c,product(c,b)),a)),product(c,a))
    | product(product(c,product(product(c,product(c,b)),a)),product(c,a)) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(c,product(product(product(c,product(c,b)),a),a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)))),bind(Y,$fot(product(product(c,product(product(c,product(c,b)),a)),product(c,a)))),bind(Z,$fot(product(c,product(product(product(c,product(c,b)),a),a))))]]) ).

cnf(refute_0_14443,plain,
    ( product(product(c,product(product(c,product(c,b)),a)),product(c,a)) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(c,product(product(product(c,product(c,b)),a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),product(product(c,product(product(c,product(c,b)),a)),product(c,a))) )],[refute_0_14441,refute_0_14442]) ).

cnf(refute_0_14444,plain,
    product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) = product(c,product(product(product(c,product(c,b)),a),a)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(c,b)),a)),product(c,a)),product(c,product(product(product(c,product(c,b)),a),a))) )],[refute_0_14437,refute_0_14443]) ).

cnf(refute_0_14445,plain,
    ( product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(product(c,product(c,b)),a),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),product(c,product(product(product(c,product(c,b)),a),a))) ),[0],$fot(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)))]]) ).

cnf(refute_0_14446,plain,
    ( product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(product(c,product(c,b)),a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a)),product(c,product(product(product(c,product(c,b)),a),a))) )],[refute_0_14444,refute_0_14445]) ).

cnf(refute_0_14447,plain,
    ( bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))) != product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(product(c,product(c,b)),a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) )],[refute_0_14436,refute_0_14446]) ).

cnf(refute_0_14448,plain,
    product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(product(c,product(c,b)),a),a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(c,a),product(b,bigC(a,a,c))),product(bigC(product(c,a),product(c,a),bigC(b,b,c)),product(c,a))) )],[refute_0_14422,refute_0_14447]) ).

cnf(refute_0_14449,plain,
    product(product(product(c,product(c,b)),a),a) = product(product(product(c,product(c,b)),a),a),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),a),a))]]) ).

cnf(refute_0_14450,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(product(product(c,product(c,b)),a),a) != product(product(product(c,product(c,b)),a),a)
    | product(product(product(c,product(c,b)),a),a) = product(product(c,bigC(a,a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),a),a),product(product(product(c,product(c,b)),a),a)) ),[1,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_14451,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | product(product(product(c,product(c,b)),a),a) = product(product(c,bigC(a,a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),a),a),product(product(product(c,product(c,b)),a),a)) )],[refute_0_14449,refute_0_14450]) ).

cnf(refute_0_14452,plain,
    product(product(product(c,product(c,b)),a),a) = product(product(c,bigC(a,a,c)),a),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_14451]) ).

cnf(refute_0_14453,plain,
    product(c,product(product(product(c,product(c,b)),a),a)) = product(c,product(product(product(c,product(c,b)),a),a)),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(c,product(c,b)),a),a)))]]) ).

cnf(refute_0_14454,plain,
    ( product(c,product(product(product(c,product(c,b)),a),a)) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(product(product(c,product(c,b)),a),a) != product(product(c,bigC(a,a,c)),a)
    | product(c,product(product(product(c,product(c,b)),a),a)) = product(c,product(product(c,bigC(a,a,c)),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(c,product(c,b)),a),a)),product(c,product(product(product(c,product(c,b)),a),a))) ),[1,1],$fot(product(product(c,bigC(a,a,c)),a))]]) ).

cnf(refute_0_14455,plain,
    ( product(product(product(c,product(c,b)),a),a) != product(product(c,bigC(a,a,c)),a)
    | product(c,product(product(product(c,product(c,b)),a),a)) = product(c,product(product(c,bigC(a,a,c)),a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,product(c,b)),a),a)),product(c,product(product(product(c,product(c,b)),a),a))) )],[refute_0_14453,refute_0_14454]) ).

cnf(refute_0_14456,plain,
    product(c,product(product(product(c,product(c,b)),a),a)) = product(c,product(product(c,bigC(a,a,c)),a)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),a),a),product(product(c,bigC(a,a,c)),a)) )],[refute_0_14452,refute_0_14455]) ).

cnf(refute_0_14457,plain,
    ( product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(c,product(product(product(c,product(c,b)),a),a)) != product(c,product(product(c,bigC(a,a,c)),a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(c,bigC(a,a,c)),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),product(c,product(product(c,bigC(a,a,c)),a))) ),[0],$fot(product(c,product(product(product(c,product(c,b)),a),a)))]]) ).

cnf(refute_0_14458,plain,
    ( product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) != product(c,product(product(product(c,product(c,b)),a),a))
    | product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(c,bigC(a,a,c)),a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(c,product(c,b)),a),a)),product(c,product(product(c,bigC(a,a,c)),a))) )],[refute_0_14456,refute_0_14457]) ).

cnf(refute_0_14459,plain,
    product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) = product(c,product(product(c,bigC(a,a,c)),a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),product(c,product(product(product(c,product(c,b)),a),a))) )],[refute_0_14448,refute_0_14458]) ).

cnf(refute_0_14460,plain,
    ( product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))) != product(c,product(product(c,bigC(a,a,c)),a))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))) != bigC(b,a,b)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))),bigC(b,a,b)) ),[0,1,1],$fot(product(c,product(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_14461,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))) != bigC(b,a,b)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))),product(c,product(product(c,bigC(a,a,c)),a))) )],[refute_0_14459,refute_0_14460]) ).

cnf(refute_0_14462,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,bigC(a,a,c))))),bigC(b,a,b)) )],[refute_0_14418,refute_0_14461]) ).

cnf(refute_0_14463,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),
    inference(subst,[],[refute_0_5933:[bind(A,$fot(bigC(a,a,bigC(a,a,c)))),bind(B,$fot(b)),bind(C,$fot(bigC(b,a,b))),bind(D,$fot(product(b,product(c,bigC(a,a,c))))),bind(X_98,$fot(c))]]) ).

cnf(refute_0_14464,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c),
    inference(subst,[],[refute_0_210:[bind(X_23,$fot(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)))),bind(X_24,$fot(product(b,product(b,product(c,bigC(a,a,c)))))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_14465,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)))),bind(Y,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c))),bind(Z,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)))]]) ).

cnf(refute_0_14466,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14464,refute_0_14465]) ).

cnf(refute_0_14467,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),product(b,product(b,product(c,bigC(a,a,c))))),c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14463,refute_0_14466]) ).

cnf(refute_0_14468,plain,
    product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) = product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),
    introduced(tautology,[refl,[$fot(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)))]]) ).

cnf(refute_0_14469,plain,
    ( bigC(a,c,b) != c
    | product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) != product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))
    | product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) = product(product(b,product(b,product(c,bigC(a,a,c)))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_14470,plain,
    ( bigC(a,c,b) != c
    | product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) = product(product(b,product(b,product(c,bigC(a,a,c)))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))) )],[refute_0_14468,refute_0_14469]) ).

cnf(refute_0_14471,plain,
    product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) = product(product(b,product(b,product(c,bigC(a,a,c)))),c),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),c) )],[refute_0_5106,refute_0_14470]) ).

cnf(refute_0_14472,plain,
    bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))) = product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(b,product(c,bigC(a,a,c))))),bind(X_65,$fot(b)),bind(X_66,$fot(a)),bind(X_67,$fot(c))]]) ).

cnf(refute_0_14473,plain,
    product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(product(b,c))),bind(X_23,$fot(b)),bind(X_24,$fot(product(c,bigC(a,a,c)))),bind(X_25,$fot(b)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_14474,plain,
    ( bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))) != product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))
    | product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) != bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c))))
    | product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))),bind(Y,$fot(bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))))),bind(Z,$fot(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))))]]) ).

cnf(refute_0_14475,plain,
    ( bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))) != product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))
    | product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))),bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c))))) )],[refute_0_14473,refute_0_14474]) ).

cnf(refute_0_14476,plain,
    product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,c),product(b,product(c,bigC(a,a,c)))),product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))) )],[refute_0_14472,refute_0_14475]) ).

cnf(refute_0_14477,plain,
    ( product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) != product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))
    | product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) != product(product(b,product(b,product(c,bigC(a,a,c)))),c)
    | product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))),bind(Y,$fot(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)))),bind(Z,$fot(product(product(b,product(b,product(c,bigC(a,a,c)))),c)))]]) ).

cnf(refute_0_14478,plain,
    ( product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)) != product(product(b,product(b,product(c,bigC(a,a,c)))),c)
    | product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))),product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b))) )],[refute_0_14476,refute_0_14477]) ).

cnf(refute_0_14479,plain,
    product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) = product(product(b,product(b,product(c,bigC(a,a,c)))),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,bigC(a,a,c)))),bigC(a,c,b)),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) )],[refute_0_14471,refute_0_14478]) ).

cnf(refute_0_14480,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))))]]) ).

cnf(refute_0_14481,plain,
    ( product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) != product(product(b,product(b,product(c,bigC(a,a,c)))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))) ),[1,1],$fot(product(product(b,product(b,product(c,bigC(a,a,c)))),c))]]) ).

cnf(refute_0_14482,plain,
    ( product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))) != product(product(b,product(b,product(c,bigC(a,a,c)))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))) )],[refute_0_14480,refute_0_14481]) ).

cnf(refute_0_14483,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) )],[refute_0_14479,refute_0_14482]) ).

cnf(refute_0_14484,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))))),bind(Y,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)))),bind(Z,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)))]]) ).

cnf(refute_0_14485,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c))) )],[refute_0_14483,refute_0_14484]) ).

cnf(refute_0_14486,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(product(b,product(b,product(c,bigC(a,a,c)))),c)),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14467,refute_0_14485]) ).

cnf(refute_0_14487,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),
    inference(subst,[],[refute_0_29:[bind(A,$fot(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)))),bind(B,$fot(c)),bind(C,$fot(bigC(b,a,b))),bind(D,$fot(product(product(b,c),product(product(c,bigC(a,a,c)),a))))]]) ).

cnf(refute_0_14488,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))))),bind(Y,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))))),bind(Z,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)))]]) ).

cnf(refute_0_14489,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a))))) )],[refute_0_14487,refute_0_14488]) ).

cnf(refute_0_14490,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),c),product(bigC(b,a,b),product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14486,refute_0_14489]) ).

cnf(refute_0_14491,plain,
    product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))) = product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a))),
    inference(subst,[],[refute_0_7903:[bind(X_67,$fot(product(product(c,bigC(a,a,c)),a)))]]) ).

cnf(refute_0_14492,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))))]]) ).

cnf(refute_0_14493,plain,
    ( product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))) != product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))))) ),[1,1],$fot(product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a))))]]) ).

cnf(refute_0_14494,plain,
    ( product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))) != product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))))) )],[refute_0_14492,refute_0_14493]) ).

cnf(refute_0_14495,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a))),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) )],[refute_0_14491,refute_0_14494]) ).

cnf(refute_0_14496,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a))))
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))))),bind(Y,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))))),bind(Z,$fot(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)))]]) ).

cnf(refute_0_14497,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a))))) )],[refute_0_14495,refute_0_14496]) ).

cnf(refute_0_14498,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) = product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(c,product(product(b,c),product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14490,refute_0_14497]) ).

cnf(refute_0_14499,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) != bigC(b,a,b)
    | product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) != product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)
    | product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),bigC(b,a,b)) ),[0],$fot(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c))]]) ).

cnf(refute_0_14500,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))) != bigC(b,a,b)
    | product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c)) )],[refute_0_14498,refute_0_14499]) ).

cnf(refute_0_14501,plain,
    product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(c,product(product(c,bigC(a,a,c)),a)))),bigC(b,a,b)) )],[refute_0_14462,refute_0_14500]) ).

cnf(refute_0_14502,plain,
    ( product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c))
    | product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) != bigC(b,a,b)
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14503,plain,
    ( product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c))
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),bigC(b,a,b)) )],[refute_0_14501,refute_0_14502]) ).

cnf(refute_0_14504,plain,
    product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,c),product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c))) )],[refute_0_14417,refute_0_14503]) ).

cnf(refute_0_14505,plain,
    quotient(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),c) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))))),bind(B,$fot(c))]]) ).

cnf(refute_0_14506,plain,
    ( product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c) != bigC(b,a,b)
    | quotient(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),c) != product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))
    | quotient(bigC(b,a,b),c) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),c),product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14507,plain,
    ( quotient(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),c) != product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))
    | quotient(bigC(b,a,b),c) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),bigC(b,a,b)) )],[refute_0_14501,refute_0_14506]) ).

cnf(refute_0_14508,plain,
    quotient(bigC(b,a,b),c) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),c),c),product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) )],[refute_0_14505,refute_0_14507]) ).

cnf(refute_0_14509,plain,
    ( quotient(bigC(b,a,b),c) != product(c,b)
    | quotient(bigC(b,a,b),c) != product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))
    | product(c,b) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),c),product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_14510,plain,
    ( quotient(bigC(b,a,b),c) != product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))
    | product(c,b) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),product(c,b)) )],[refute_0_2965,refute_0_14509]) ).

cnf(refute_0_14511,plain,
    product(c,b) = product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) )],[refute_0_14508,refute_0_14510]) ).

cnf(refute_0_14512,plain,
    ( product(c,b) != product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))
    | product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) = product(c,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))))]]) ).

cnf(refute_0_14513,plain,
    product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) )],[refute_0_14511,refute_0_14512]) ).

cnf(refute_0_14514,plain,
    product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) = product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),
    introduced(tautology,[refl,[$fot(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))))]]) ).

cnf(refute_0_14515,plain,
    ( product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) != product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))))
    | product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) != product(c,b)
    | product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) = product(X_23,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_14516,plain,
    ( product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))) != product(c,b)
    | product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) = product(X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))))) )],[refute_0_14514,refute_0_14515]) ).

cnf(refute_0_14517,plain,
    product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) = product(X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c))))),product(c,b)) )],[refute_0_14513,refute_0_14516]) ).

cnf(refute_0_14518,plain,
    product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),
    introduced(tautology,[refl,[$fot(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c))]]) ).

cnf(refute_0_14519,plain,
    ( product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) != product(X_23,product(c,b))
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c)
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c)) ),[1,0],$fot(product(X_23,product(c,b)))]]) ).

cnf(refute_0_14520,plain,
    ( product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))) != product(X_23,product(c,b))
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c)) )],[refute_0_14518,refute_0_14519]) ).

cnf(refute_0_14521,plain,
    product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) = product(product(X_23,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),product(X_23,product(c,b))) )],[refute_0_14517,refute_0_14520]) ).

cnf(refute_0_14522,plain,
    ( product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,c),bigC(b,a,b))
    | product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,product(c,b)),c)
    | product(product(X_23,product(c,b)),c) = product(product(X_23,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,c),bigC(b,a,b))) ),[0],$fot(product(product(X_23,product(c,b)),c))]]) ).

cnf(refute_0_14523,plain,
    ( product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c) != product(product(X_23,c),bigC(b,a,b))
    | product(product(X_23,product(c,b)),c) = product(product(X_23,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,product(c,b)),c)) )],[refute_0_14521,refute_0_14522]) ).

cnf(refute_0_14524,plain,
    product(product(X_23,product(c,b)),c) = product(product(X_23,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(product(bigC(a,a,bigC(a,a,c)),b),product(bigC(b,a,b),product(b,product(c,bigC(a,a,c)))))),c),product(product(X_23,c),bigC(b,a,b))) )],[refute_0_14504,refute_0_14523]) ).

cnf(refute_0_14525,plain,
    ( product(product(X_23,product(c,b)),c) != product(product(X_23,c),bigC(b,a,b))
    | product(product(X_23,c),bigC(b,a,b)) = product(product(X_23,product(c,b)),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(X_23,product(c,b)),c))),bind(Y,$fot(product(product(X_23,c),bigC(b,a,b))))]]) ).

cnf(refute_0_14526,plain,
    product(product(X_23,c),bigC(b,a,b)) = product(product(X_23,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(X_23,product(c,b)),c),product(product(X_23,c),bigC(b,a,b))) )],[refute_0_14524,refute_0_14525]) ).

cnf(refute_0_14527,plain,
    product(product(bigC(a,a,b),c),bigC(b,a,b)) = product(product(bigC(a,a,b),product(c,b)),c),
    inference(subst,[],[refute_0_14526:[bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14528,plain,
    ( product(product(bigC(a,a,b),c),bigC(b,a,b)) != product(product(bigC(a,a,b),product(c,b)),c)
    | product(product(bigC(a,a,b),product(c,b)),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(bigC(a,a,b),c),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),bigC(b,a,b)))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,b)),c))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_14529,plain,
    ( product(product(bigC(a,a,b),product(c,b)),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(bigC(a,a,b),c),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),bigC(b,a,b)),product(product(bigC(a,a,b),product(c,b)),c)) )],[refute_0_14527,refute_0_14528]) ).

cnf(refute_0_14530,plain,
    product(product(bigC(a,a,b),c),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14416,refute_0_14529]) ).

cnf(refute_0_14531,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) = product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))))]]) ).

cnf(refute_0_14532,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) != product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))
    | product(product(bigC(a,a,b),c),bigC(b,a,b)) != product(c,product(c,bigC(b,b,c)))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))) ),[1,1],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_14533,plain,
    ( product(product(bigC(a,a,b),c),bigC(b,a,b)) != product(c,product(c,bigC(b,b,c)))
    | product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))) )],[refute_0_14531,refute_0_14532]) ).

cnf(refute_0_14534,plain,
    product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),bigC(b,a,b)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14530,refute_0_14533]) ).

cnf(refute_0_14535,plain,
    product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(c,b,c))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(bigC(a,a,b))),bind(X_26,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_14536,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != bigC(product(a,b),c,c)
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(c,b,c)))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(c,b,c)))) ),[1,1],$fot(bigC(product(a,b),c,c))]]) ).

cnf(refute_0_14537,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(c,b,c)))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),bigC(product(a,b),c,c)) )],[refute_0_9527,refute_0_14536]) ).

cnf(refute_0_14538,plain,
    product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(product(bigC(a,a,b),X_25),product(bigC(a,a,b),bigC(c,b,c)))) )],[refute_0_14535,refute_0_14537]) ).

cnf(refute_0_14539,plain,
    product(X_25,bigC(c,b,c)) = product(X_25,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(X_25,bigC(c,b,c)))]]) ).

cnf(refute_0_14540,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(X_25,bigC(c,b,c)) != product(X_25,bigC(c,b,c))
    | product(X_25,bigC(c,b,c)) = product(X_25,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_25,bigC(c,b,c)),product(X_25,bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14541,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(X_25,bigC(c,b,c)) = product(X_25,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(X_25,bigC(c,b,c)),product(X_25,bigC(c,b,c))) )],[refute_0_14539,refute_0_14540]) ).

cnf(refute_0_14542,plain,
    product(X_25,bigC(c,b,c)) = product(X_25,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_1370,refute_0_14541]) ).

cnf(refute_0_14543,plain,
    product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(bigC(a,a,b),product(X_25,bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(X_25,bigC(c,b,c))))]]) ).

cnf(refute_0_14544,plain,
    ( product(X_25,bigC(c,b,c)) != product(X_25,bigC(b,a,b))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(bigC(a,a,b),product(X_25,bigC(c,b,c)))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(bigC(a,a,b),product(X_25,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(bigC(a,a,b),product(X_25,bigC(c,b,c)))) ),[1,1],$fot(product(X_25,bigC(b,a,b)))]]) ).

cnf(refute_0_14545,plain,
    ( product(X_25,bigC(c,b,c)) != product(X_25,bigC(b,a,b))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(bigC(a,a,b),product(X_25,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(bigC(a,a,b),product(X_25,bigC(c,b,c)))) )],[refute_0_14543,refute_0_14544]) ).

cnf(refute_0_14546,plain,
    product(bigC(a,a,b),product(X_25,bigC(c,b,c))) = product(bigC(a,a,b),product(X_25,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(X_25,bigC(c,b,c)),product(X_25,bigC(b,a,b))) )],[refute_0_14542,refute_0_14545]) ).

cnf(refute_0_14547,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(bigC(a,a,b),product(X_25,bigC(b,a,b)))
    | product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))
    | product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))) ),[0],$fot(product(bigC(a,a,b),product(X_25,bigC(b,a,b))))]]) ).

cnf(refute_0_14548,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(c,b,c))) != product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))
    | product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(bigC(a,a,b),product(X_25,bigC(b,a,b)))) )],[refute_0_14546,refute_0_14547]) ).

cnf(refute_0_14549,plain,
    product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(c,b,c))),product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))) )],[refute_0_14538,refute_0_14548]) ).

cnf(refute_0_14550,plain,
    product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) = product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)))]]) ).

cnf(refute_0_14551,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) != product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))
    | product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_14552,plain,
    ( bigC(product(a,b),c,c) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))) )],[refute_0_14550,refute_0_14551]) ).

cnf(refute_0_14553,plain,
    product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,c),bigC(a,b,product(a,b))) )],[refute_0_9619,refute_0_14552]) ).

cnf(refute_0_14554,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(b,a,b))) != product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))
    | product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)) != product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))
    | product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(X_25,bigC(b,a,b))),product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)))]]) ).

cnf(refute_0_14555,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(b,a,b))) != product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))
    | product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c)),product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))) )],[refute_0_14553,refute_0_14554]) ).

cnf(refute_0_14556,plain,
    product(bigC(a,a,b),product(X_25,bigC(b,a,b))) = product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(b,a,b))),product(product(bigC(a,a,b),X_25),bigC(product(a,b),c,c))) )],[refute_0_14549,refute_0_14555]) ).

cnf(refute_0_14557,plain,
    ( product(bigC(a,a,b),product(X_25,bigC(b,a,b))) != product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) = product(bigC(a,a,b),product(X_25,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(bigC(a,a,b),product(X_25,bigC(b,a,b))))),bind(Y,$fot(product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14558,plain,
    product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b))) = product(bigC(a,a,b),product(X_25,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_25,bigC(b,a,b))),product(product(bigC(a,a,b),X_25),bigC(a,b,product(a,b)))) )],[refute_0_14556,refute_0_14557]) ).

cnf(refute_0_14559,plain,
    product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))) = product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),
    inference(subst,[],[refute_0_14558:[bind(X_25,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_14560,plain,
    product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),product(c,product(c,product(c,b)))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(D,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14561,plain,
    ( product(c,product(c,product(c,b))) != bigC(b,a,product(a,b))
    | product(product(A,c),product(C,product(c,product(c,b)))) != product(product(A,C),product(c,product(c,product(c,b))))
    | product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(c,product(c,b)))),product(product(A,C),product(c,product(c,product(c,b))))) ),[1,1],$fot(bigC(b,a,product(a,b)))]]) ).

cnf(refute_0_14562,plain,
    ( product(product(A,c),product(C,product(c,product(c,b)))) != product(product(A,C),product(c,product(c,product(c,b))))
    | product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(b,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(b,a,product(a,b))) )],[refute_0_1560,refute_0_14561]) ).

cnf(refute_0_14563,plain,
    product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(b,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(c,product(c,b)))),product(product(A,C),product(c,product(c,product(c,b))))) )],[refute_0_14560,refute_0_14562]) ).

cnf(refute_0_14564,plain,
    ( product(product(A,C),bigC(b,a,product(a,b))) != product(product(A,C),bigC(a,b,product(a,b)))
    | product(product(A,c),product(C,product(c,product(c,b)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(c,product(c,b)))),product(product(A,C),bigC(b,a,product(a,b)))) ),[1],$fot(product(product(A,C),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_14565,plain,
    ( product(product(A,c),product(C,product(c,product(c,b)))) != product(product(A,C),bigC(b,a,product(a,b)))
    | product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(b,a,product(a,b))),product(product(A,C),bigC(a,b,product(a,b)))) )],[refute_0_13800,refute_0_14564]) ).

cnf(refute_0_14566,plain,
    product(product(A,c),product(C,product(c,product(c,b)))) = product(product(A,C),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(c,product(c,b)))),product(product(A,C),bigC(b,a,product(a,b)))) )],[refute_0_14563,refute_0_14565]) ).

cnf(refute_0_14567,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_14566:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_14568,plain,
    ( product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) != product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))) != product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))))),bind(Y,$fot(product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))))),bind(Z,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))))]]) ).

cnf(refute_0_14569,plain,
    ( product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))) != product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))),product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b)))) )],[refute_0_14567,refute_0_14568]) ).

cnf(refute_0_14570,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(bigC(a,a,b),c)),bigC(a,b,product(a,b))),product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))) )],[refute_0_14559,refute_0_14569]) ).

cnf(refute_0_14571,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) != product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) != product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))))),bind(Y,$fot(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))))),bind(Z,$fot(product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))))]]) ).

cnf(refute_0_14572,plain,
    ( product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))) != product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))),product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b)))) )],[refute_0_14570,refute_0_14571]) ).

cnf(refute_0_14573,plain,
    product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(bigC(a,a,b),c),bigC(b,a,b))),product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))) )],[refute_0_14534,refute_0_14572]) ).

cnf(refute_0_14574,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))
    | product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))) != product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(b,a,product(b,a))),c),product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))) ),[0],$fot(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))))]]) ).

cnf(refute_0_14575,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b)))),product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))) )],[refute_0_14573,refute_0_14574]) ).

cnf(refute_0_14576,plain,
    ( difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))) )],[refute_0_14413,refute_0_14575]) ).

cnf(refute_0_14577,plain,
    product(product(a,bigC(b,a,product(b,a))),c) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(product(bigC(a,a,b),c),bigC(c,bigC(b,b,c),product(product(c,b),b)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),product(product(bigC(a,a,b),c),product(product(bigC(a,a,b),c),product(c,product(c,b))))) )],[refute_0_13656,refute_0_14576]) ).

cnf(refute_0_14578,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))
    | product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,bigC(b,a,product(b,a))),c))),bind(Y,$fot(product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))))]]) ).

cnf(refute_0_14579,plain,
    product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))) )],[refute_0_14577,refute_0_14578]) ).

cnf(refute_0_14580,plain,
    product(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(a,b)) = product(c,product(c,bigC(b,b,c))),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(c,product(c,bigC(b,b,c))))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_14581,plain,
    quotient(product(product(product(c,b),X_31),product(a,b)),product(a,b)) = product(product(c,b),X_31),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(product(c,b),X_31))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_14582,plain,
    bigC(product(c,b),X_31,product(a,c)) = product(product(product(c,b),X_31),product(a,b)),
    inference(subst,[],[refute_0_106:[bind(X_18,$fot(X_31))]]) ).

cnf(refute_0_14583,plain,
    ( bigC(product(c,b),X_31,product(a,c)) != product(product(product(c,b),X_31),product(a,b))
    | product(product(product(c,b),X_31),product(a,b)) = bigC(product(c,b),X_31,product(a,c)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(product(c,b),X_31,product(a,c)))),bind(Y,$fot(product(product(product(c,b),X_31),product(a,b))))]]) ).

cnf(refute_0_14584,plain,
    product(product(product(c,b),X_31),product(a,b)) = bigC(product(c,b),X_31,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_31,product(a,c)),product(product(product(c,b),X_31),product(a,b))) )],[refute_0_14582,refute_0_14583]) ).

cnf(refute_0_14585,plain,
    ( product(product(product(c,b),X_31),product(a,b)) != bigC(product(c,b),X_31,product(a,c))
    | quotient(product(product(product(c,b),X_31),product(a,b)),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = product(product(c,b),X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),X_31),product(a,b)),product(a,b)),product(product(c,b),X_31)) ),[0,0],$fot(bigC(product(c,b),X_31,product(a,c)))]]) ).

cnf(refute_0_14586,plain,
    ( quotient(product(product(product(c,b),X_31),product(a,b)),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = product(product(c,b),X_31) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_31),product(a,b)),bigC(product(c,b),X_31,product(a,c))) )],[refute_0_14584,refute_0_14585]) ).

cnf(refute_0_14587,plain,
    quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = product(product(c,b),X_31),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),X_31),product(a,b)),product(a,b)),product(product(c,b),X_31)) )],[refute_0_14581,refute_0_14586]) ).

cnf(refute_0_14588,plain,
    bigC(product(c,b),X_31,product(a,c)) = bigC(product(a,b),X_31,c),
    inference(subst,[],[refute_0_4639:[bind(B,$fot(X_31))]]) ).

cnf(refute_0_14589,plain,
    quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)))]]) ).

cnf(refute_0_14590,plain,
    ( bigC(product(c,b),X_31,product(a,c)) != bigC(product(a,b),X_31,c)
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) != quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b))
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = quotient(bigC(product(a,b),X_31,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b))) ),[1,0],$fot(bigC(product(a,b),X_31,c))]]) ).

cnf(refute_0_14591,plain,
    ( bigC(product(c,b),X_31,product(a,c)) != bigC(product(a,b),X_31,c)
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = quotient(bigC(product(a,b),X_31,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b))) )],[refute_0_14589,refute_0_14590]) ).

cnf(refute_0_14592,plain,
    quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) = quotient(bigC(product(a,b),X_31,c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_31,product(a,c)),bigC(product(a,b),X_31,c)) )],[refute_0_14588,refute_0_14591]) ).

cnf(refute_0_14593,plain,
    ( quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) != quotient(bigC(product(a,b),X_31,c),product(a,b))
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) = product(product(c,b),X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),product(product(c,b),X_31)) ),[0],$fot(quotient(bigC(product(a,b),X_31,c),product(a,b)))]]) ).

cnf(refute_0_14594,plain,
    ( quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) = product(product(c,b),X_31) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),quotient(bigC(product(a,b),X_31,c),product(a,b))) )],[refute_0_14592,refute_0_14593]) ).

cnf(refute_0_14595,plain,
    quotient(bigC(product(a,b),X_31,c),product(a,b)) = product(product(c,b),X_31),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),X_31,product(a,c)),product(a,b)),product(product(c,b),X_31)) )],[refute_0_14587,refute_0_14594]) ).

cnf(refute_0_14596,plain,
    bigC(product(a,b),X_31,c) = bigC(c,X_31,product(a,b)),
    inference(subst,[],[refute_0_5222:[bind(X_18,$fot(X_31))]]) ).

cnf(refute_0_14597,plain,
    quotient(bigC(product(a,b),X_31,c),product(a,b)) = quotient(bigC(product(a,b),X_31,c),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(a,b),X_31,c),product(a,b)))]]) ).

cnf(refute_0_14598,plain,
    ( bigC(product(a,b),X_31,c) != bigC(c,X_31,product(a,b))
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) != quotient(bigC(product(a,b),X_31,c),product(a,b))
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) = quotient(bigC(c,X_31,product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,b),X_31,c),product(a,b)),quotient(bigC(product(a,b),X_31,c),product(a,b))) ),[1,0],$fot(bigC(c,X_31,product(a,b)))]]) ).

cnf(refute_0_14599,plain,
    ( bigC(product(a,b),X_31,c) != bigC(c,X_31,product(a,b))
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) = quotient(bigC(c,X_31,product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,b),X_31,c),product(a,b)),quotient(bigC(product(a,b),X_31,c),product(a,b))) )],[refute_0_14597,refute_0_14598]) ).

cnf(refute_0_14600,plain,
    quotient(bigC(product(a,b),X_31,c),product(a,b)) = quotient(bigC(c,X_31,product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_31,c),bigC(c,X_31,product(a,b))) )],[refute_0_14596,refute_0_14599]) ).

cnf(refute_0_14601,plain,
    ( quotient(bigC(product(a,b),X_31,c),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(product(a,b),X_31,c),product(a,b)) != quotient(bigC(c,X_31,product(a,b)),product(a,b))
    | quotient(bigC(c,X_31,product(a,b)),product(a,b)) = product(product(c,b),X_31) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,b),X_31,c),product(a,b)),product(product(c,b),X_31)) ),[0],$fot(quotient(bigC(c,X_31,product(a,b)),product(a,b)))]]) ).

cnf(refute_0_14602,plain,
    ( quotient(bigC(product(a,b),X_31,c),product(a,b)) != product(product(c,b),X_31)
    | quotient(bigC(c,X_31,product(a,b)),product(a,b)) = product(product(c,b),X_31) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,b),X_31,c),product(a,b)),quotient(bigC(c,X_31,product(a,b)),product(a,b))) )],[refute_0_14600,refute_0_14601]) ).

cnf(refute_0_14603,plain,
    quotient(bigC(c,X_31,product(a,b)),product(a,b)) = product(product(c,b),X_31),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,b),X_31,c),product(a,b)),product(product(c,b),X_31)) )],[refute_0_14595,refute_0_14602]) ).

cnf(refute_0_14604,plain,
    quotient(bigC(c,X_109,product(a,b)),product(a,b)) = product(product(c,b),X_109),
    inference(subst,[],[refute_0_14603:[bind(X_31,$fot(X_109))]]) ).

cnf(refute_0_14605,plain,
    bigC(c,product(a,b),X_109) = bigC(c,X_109,product(a,b)),
    inference(subst,[],[refute_0_121:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(X_109))]]) ).

cnf(refute_0_14606,plain,
    ( bigC(c,product(a,b),X_109) != bigC(c,X_109,product(a,b))
    | bigC(c,X_109,product(a,b)) = bigC(c,product(a,b),X_109) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(c,product(a,b),X_109))),bind(Y,$fot(bigC(c,X_109,product(a,b))))]]) ).

cnf(refute_0_14607,plain,
    bigC(c,X_109,product(a,b)) = bigC(c,product(a,b),X_109),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),X_109),bigC(c,X_109,product(a,b))) )],[refute_0_14605,refute_0_14606]) ).

cnf(refute_0_14608,plain,
    ( bigC(c,X_109,product(a,b)) != bigC(c,product(a,b),X_109)
    | quotient(bigC(c,X_109,product(a,b)),product(a,b)) != product(product(c,b),X_109)
    | quotient(bigC(c,product(a,b),X_109),product(a,b)) = product(product(c,b),X_109) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,X_109,product(a,b)),product(a,b)),product(product(c,b),X_109)) ),[0,0],$fot(bigC(c,product(a,b),X_109))]]) ).

cnf(refute_0_14609,plain,
    ( quotient(bigC(c,X_109,product(a,b)),product(a,b)) != product(product(c,b),X_109)
    | quotient(bigC(c,product(a,b),X_109),product(a,b)) = product(product(c,b),X_109) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_109,product(a,b)),bigC(c,product(a,b),X_109)) )],[refute_0_14607,refute_0_14608]) ).

cnf(refute_0_14610,plain,
    quotient(bigC(c,product(a,b),X_109),product(a,b)) = product(product(c,b),X_109),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,X_109,product(a,b)),product(a,b)),product(product(c,b),X_109)) )],[refute_0_14604,refute_0_14609]) ).

cnf(refute_0_14611,plain,
    quotient(bigC(c,product(a,b),bigC(b,a,b)),product(a,b)) = product(product(c,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_14610:[bind(X_109,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_14612,plain,
    bigC(c,product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) = product(product(c,product(c,b)),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_6418:[bind(X_44,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_14613,plain,
    ( bigC(c,product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) != product(product(c,product(c,b)),bigC(a,b,product(a,b)))
    | quotient(bigC(a,b,product(a,b)),product(a,b)) != bigC(b,a,b)
    | bigC(c,product(a,b),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(product(c,product(c,b)),bigC(a,b,product(a,b)))) ),[0,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14614,plain,
    ( bigC(c,product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))) != product(product(c,product(c,b)),bigC(a,b,product(a,b)))
    | bigC(c,product(a,b),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(a,b)),bigC(b,a,b)) )],[refute_0_7549,refute_0_14613]) ).

cnf(refute_0_14615,plain,
    bigC(c,product(a,b),bigC(b,a,b)) = product(product(c,product(c,b)),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(bigC(a,b,product(a,b)),product(a,b))),product(product(c,product(c,b)),bigC(a,b,product(a,b)))) )],[refute_0_14612,refute_0_14614]) ).

cnf(refute_0_14616,plain,
    bigC(bigC(a,b,c),X_18,quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    inference(subst,[],[refute_0_256:[bind(A,$fot(product(bigC(a,a,c),product(b,bigC(a,b,c))))),bind(X_17,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_14617,plain,
    ( bigC(bigC(a,b,c),X_18,quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)) != product(bigC(a,b,c),product(a,b))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),X_18,quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[0,2],$fot(product(bigC(a,b,c),product(a,b)))]]) ).

cnf(refute_0_14618,plain,
    ( bigC(bigC(a,b,c),X_18,quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c)),product(bigC(a,b,c),product(a,b))) )],[refute_0_7024,refute_0_14617]) ).

cnf(refute_0_14619,plain,
    bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),X_18,quotient(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,c))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14616,refute_0_14618]) ).

cnf(refute_0_14620,plain,
    bigC(c,X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(bigC(a,b,c),product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(c,X_18,product(bigC(a,b,c),product(a,b))))]]) ).

cnf(refute_0_14621,plain,
    ( bigC(c,X_18,product(bigC(a,b,c),product(a,b))) != bigC(c,X_18,product(bigC(a,b,c),product(a,b)))
    | product(bigC(a,b,c),product(a,b)) != product(a,product(b,c))
    | bigC(c,X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,product(bigC(a,b,c),product(a,b))),bigC(c,X_18,product(bigC(a,b,c),product(a,b)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14622,plain,
    ( product(bigC(a,b,c),product(a,b)) != product(a,product(b,c))
    | bigC(c,X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(bigC(a,b,c),product(a,b))),bigC(c,X_18,product(bigC(a,b,c),product(a,b)))) )],[refute_0_14620,refute_0_14621]) ).

cnf(refute_0_14623,plain,
    bigC(c,X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(a,b)),product(a,product(b,c))) )],[refute_0_7041,refute_0_14622]) ).

cnf(refute_0_14624,plain,
    bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))))]]) ).

cnf(refute_0_14625,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b)))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(bigC(a,b,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14626,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(bigC(a,b,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b)))) )],[refute_0_14624,refute_0_14625]) ).

cnf(refute_0_14627,plain,
    bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(bigC(a,b,c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_14626]) ).

cnf(refute_0_14628,plain,
    ( bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != bigC(c,X_18,product(bigC(a,b,c),product(a,b)))
    | bigC(c,X_18,product(bigC(a,b,c),product(a,b))) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))))),bind(Y,$fot(bigC(c,X_18,product(bigC(a,b,c),product(a,b))))),bind(Z,$fot(bigC(c,X_18,product(a,product(b,c)))))]]) ).

cnf(refute_0_14629,plain,
    ( bigC(c,X_18,product(bigC(a,b,c),product(a,b))) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),bigC(c,X_18,product(bigC(a,b,c),product(a,b)))) )],[refute_0_14627,refute_0_14628]) ).

cnf(refute_0_14630,plain,
    bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) = bigC(c,X_18,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(bigC(a,b,c),product(a,b))),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_14623,refute_0_14629]) ).

cnf(refute_0_14631,plain,
    ( bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != bigC(c,X_18,product(a,product(b,c)))
    | bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[0],$fot(bigC(c,X_18,product(a,product(b,c))))]]) ).

cnf(refute_0_14632,plain,
    ( bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),bigC(c,X_18,product(a,product(b,c)))) )],[refute_0_14630,refute_0_14631]) ).

cnf(refute_0_14633,plain,
    product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_14634,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_14635,plain,
    ( product(bigC(a,a,c),product(b,bigC(a,b,c))) != bigC(a,b,product(a,b))
    | product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14633,refute_0_14634]) ).

cnf(refute_0_14636,plain,
    product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,bigC(a,b,c))),bigC(a,b,product(a,b))) )],[refute_0_7030,refute_0_14635]) ).

cnf(refute_0_14637,plain,
    product(bigC(a,b,c),X_18) = product(bigC(a,b,c),X_18),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),X_18))]]) ).

cnf(refute_0_14638,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),X_18) != product(bigC(a,b,c),X_18)
    | product(bigC(a,b,c),X_18) = product(c,X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),X_18),product(bigC(a,b,c),X_18)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14639,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),X_18) = product(c,X_18) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),X_18),product(bigC(a,b,c),X_18)) )],[refute_0_14637,refute_0_14638]) ).

cnf(refute_0_14640,plain,
    product(bigC(a,b,c),X_18) = product(c,X_18),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_14639]) ).

cnf(refute_0_14641,plain,
    product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_14642,plain,
    ( product(bigC(a,b,c),X_18) != product(c,X_18)
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) ),[1,0],$fot(product(c,X_18))]]) ).

cnf(refute_0_14643,plain,
    ( product(bigC(a,b,c),X_18) != product(c,X_18)
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14641,refute_0_14642]) ).

cnf(refute_0_14644,plain,
    product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),X_18),product(c,X_18)) )],[refute_0_14640,refute_0_14643]) ).

cnf(refute_0_14645,plain,
    ( product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))))),bind(Y,$fot(product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))))),bind(Z,$fot(product(product(c,X_18),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14646,plain,
    ( product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14644,refute_0_14645]) ).

cnf(refute_0_14647,plain,
    product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) = product(product(c,X_18),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(c,X_18),bigC(a,b,product(a,b)))) )],[refute_0_14636,refute_0_14646]) ).

cnf(refute_0_14648,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_18,product(a,product(b,c))),product(product(c,X_18),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))))]]) ).

cnf(refute_0_14649,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c)))),product(product(c,X_18),bigC(a,b,product(a,b)))) )],[refute_0_14647,refute_0_14648]) ).

cnf(refute_0_14650,plain,
    ( bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))) != product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))
    | bigC(c,X_18,product(a,product(b,c))) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14632,refute_0_14649]) ).

cnf(refute_0_14651,plain,
    bigC(c,X_18,product(a,product(b,c))) = product(product(c,X_18),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),X_18,product(bigC(a,b,c),product(a,b))),product(product(bigC(a,b,c),X_18),product(bigC(a,a,c),product(b,bigC(a,b,c))))) )],[refute_0_14619,refute_0_14650]) ).

cnf(refute_0_14652,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(bigC(a,a,b),X_18),c)
    | bigC(c,X_18,product(a,product(b,c))) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),X_18),c) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(c,X_18),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(bigC(a,a,b),X_18),c))]]) ).

cnf(refute_0_14653,plain,
    ( bigC(c,X_18,product(a,product(b,c))) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),X_18),c) = product(product(c,X_18),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(bigC(a,a,b),X_18),c)) )],[refute_0_7098,refute_0_14652]) ).

cnf(refute_0_14654,plain,
    product(product(bigC(a,a,b),X_18),c) = product(product(c,X_18),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_18,product(a,product(b,c))),product(product(c,X_18),bigC(a,b,product(a,b)))) )],[refute_0_14651,refute_0_14653]) ).

cnf(refute_0_14655,plain,
    ( product(product(bigC(a,a,b),X_18),c) != product(product(c,X_18),bigC(a,b,product(a,b)))
    | product(product(c,X_18),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_18),c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(bigC(a,a,b),X_18),c))),bind(Y,$fot(product(product(c,X_18),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_14656,plain,
    product(product(c,X_18),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_18),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_18),c),product(product(c,X_18),bigC(a,b,product(a,b)))) )],[refute_0_14654,refute_0_14655]) ).

cnf(refute_0_14657,plain,
    product(product(c,product(c,b)),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),product(c,b)),c),
    inference(subst,[],[refute_0_14656:[bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_14658,plain,
    ( product(product(bigC(a,a,b),product(c,b)),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(c,product(c,b)),bigC(a,b,product(a,b))) != product(product(bigC(a,a,b),product(c,b)),c)
    | product(product(c,product(c,b)),bigC(a,b,product(a,b))) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),bigC(a,b,product(a,b))))),bind(Y,$fot(product(product(bigC(a,a,b),product(c,b)),c))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_14659,plain,
    ( product(product(bigC(a,a,b),product(c,b)),c) != product(c,product(c,bigC(b,b,c)))
    | product(product(c,product(c,b)),bigC(a,b,product(a,b))) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,b,product(a,b))),product(product(bigC(a,a,b),product(c,b)),c)) )],[refute_0_14657,refute_0_14658]) ).

cnf(refute_0_14660,plain,
    product(product(c,product(c,b)),bigC(a,b,product(a,b))) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),product(c,b)),c),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14416,refute_0_14659]) ).

cnf(refute_0_14661,plain,
    ( bigC(c,product(a,b),bigC(b,a,b)) != product(product(c,product(c,b)),bigC(a,b,product(a,b)))
    | product(product(c,product(c,b)),bigC(a,b,product(a,b))) != product(c,product(c,bigC(b,b,c)))
    | bigC(c,product(a,b),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,b),bigC(b,a,b)),product(c,product(c,bigC(b,b,c)))) ),[0],$fot(product(product(c,product(c,b)),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_14662,plain,
    ( bigC(c,product(a,b),bigC(b,a,b)) != product(product(c,product(c,b)),bigC(a,b,product(a,b)))
    | bigC(c,product(a,b),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,b,product(a,b))),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14660,refute_0_14661]) ).

cnf(refute_0_14663,plain,
    bigC(c,product(a,b),bigC(b,a,b)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),bigC(b,a,b)),product(product(c,product(c,b)),bigC(a,b,product(a,b)))) )],[refute_0_14615,refute_0_14662]) ).

cnf(refute_0_14664,plain,
    ( bigC(c,product(a,b),bigC(b,a,b)) != product(c,product(c,bigC(b,b,c)))
    | quotient(bigC(c,product(a,b),bigC(b,a,b)),product(a,b)) != product(product(c,b),bigC(b,a,b))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = product(product(c,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,product(a,b),bigC(b,a,b)),product(a,b)),product(product(c,b),bigC(b,a,b))) ),[0,0],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_14665,plain,
    ( quotient(bigC(c,product(a,b),bigC(b,a,b)),product(a,b)) != product(product(c,b),bigC(b,a,b))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = product(product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),bigC(b,a,b)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14663,refute_0_14664]) ).

cnf(refute_0_14666,plain,
    quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = product(product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,product(a,b),bigC(b,a,b)),product(a,b)),product(product(c,b),bigC(b,a,b))) )],[refute_0_14611,refute_0_14665]) ).

cnf(refute_0_14667,plain,
    bigC(b,product(a,c),b) = bigC(b,b,product(a,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_14668,plain,
    product(product(b,product(a,c)),b) = bigC(b,product(a,c),b),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(b)),bind(X_18,$fot(product(a,c)))]]) ).

cnf(refute_0_14669,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_32:[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_14670,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_14668,refute_0_14669]) ).

cnf(refute_0_14671,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_14667,refute_0_14670]) ).

cnf(refute_0_14672,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_14673,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_14674,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_14672,refute_0_14673]) ).

cnf(refute_0_14675,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_10253,refute_0_14674]) ).

cnf(refute_0_14676,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_32:[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_14677,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_14675,refute_0_14676]) ).

cnf(refute_0_14678,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_14671,refute_0_14677]) ).

cnf(refute_0_14679,plain,
    product(product(c,b),bigC(b,a,b)) = product(product(c,product(b,a)),b),
    inference(subst,[],[refute_0_11808:[bind(X_18,$fot(a)),bind(X_96,$fot(c)),bind(X_98,$fot(b))]]) ).

cnf(refute_0_14680,plain,
    ( product(product(c,b),bigC(b,a,b)) != product(product(c,product(b,a)),b)
    | product(product(c,product(b,a)),b) != bigC(b,b,product(a,c))
    | product(product(c,b),bigC(b,a,b)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),bigC(b,a,b)))),bind(Y,$fot(product(product(c,product(b,a)),b))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_14681,plain,
    ( product(product(c,product(b,a)),b) != bigC(b,b,product(a,c))
    | product(product(c,b),bigC(b,a,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(b,a,b)),product(product(c,product(b,a)),b)) )],[refute_0_14679,refute_0_14680]) ).

cnf(refute_0_14682,plain,
    product(product(c,b),bigC(b,a,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_14678,refute_0_14681]) ).

cnf(refute_0_14683,plain,
    ( product(product(c,b),bigC(b,a,b)) != bigC(b,b,product(a,c))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) != product(product(c,b),bigC(b,a,b))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = bigC(b,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(product(c,b),bigC(b,a,b))) ),[1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_14684,plain,
    ( quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) != product(product(c,b),bigC(b,a,b))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(b,a,b)),bigC(b,b,product(a,c))) )],[refute_0_14682,refute_0_14683]) ).

cnf(refute_0_14685,plain,
    quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(product(c,b),bigC(b,a,b))) )],[refute_0_14666,refute_0_14684]) ).

cnf(refute_0_14686,plain,
    ( product(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(a,b)) != product(c,product(c,bigC(b,b,c)))
    | quotient(product(c,product(c,bigC(b,b,c))),product(a,b)) != bigC(b,b,product(a,c))
    | product(bigC(b,b,product(a,c)),product(a,b)) = product(c,product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(a,b)),product(c,product(c,bigC(b,b,c)))) ),[0,0],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_14687,plain,
    ( product(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(a,b)) != product(c,product(c,bigC(b,b,c)))
    | product(bigC(b,b,product(a,c)),product(a,b)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),bigC(b,b,product(a,c))) )],[refute_0_14685,refute_0_14686]) ).

cnf(refute_0_14688,plain,
    product(bigC(b,b,product(a,c)),product(a,b)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,product(c,bigC(b,b,c))),product(a,b)),product(a,b)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14580,refute_0_14687]) ).

cnf(refute_0_14689,plain,
    bigC(b,product(product(a,c),b),a) = bigC(b,a,product(product(a,c),b)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14690,plain,
    product(bigC(b,b,product(a,c)),product(a,b)) = bigC(b,product(product(a,c),b),a),
    inference(subst,[],[refute_0_2286:[bind(A,$fot(b)),bind(C,$fot(a)),bind(X_36,$fot(product(a,c)))]]) ).

cnf(refute_0_14691,plain,
    ( bigC(b,product(product(a,c),b),a) != bigC(b,a,product(product(a,c),b))
    | product(bigC(b,b,product(a,c)),product(a,b)) != bigC(b,product(product(a,c),b),a)
    | product(bigC(b,b,product(a,c)),product(a,b)) = bigC(b,a,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,b,product(a,c)),product(a,b)))),bind(Y,$fot(bigC(b,product(product(a,c),b),a))),bind(Z,$fot(bigC(b,a,product(product(a,c),b))))]]) ).

cnf(refute_0_14692,plain,
    ( bigC(b,product(product(a,c),b),a) != bigC(b,a,product(product(a,c),b))
    | product(bigC(b,b,product(a,c)),product(a,b)) = bigC(b,a,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),product(a,b)),bigC(b,product(product(a,c),b),a)) )],[refute_0_14690,refute_0_14691]) ).

cnf(refute_0_14693,plain,
    product(bigC(b,b,product(a,c)),product(a,b)) = bigC(b,a,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(product(a,c),b),a),bigC(b,a,product(product(a,c),b))) )],[refute_0_14689,refute_0_14692]) ).

cnf(refute_0_14694,plain,
    ( product(bigC(b,b,product(a,c)),product(a,b)) != bigC(b,a,product(product(a,c),b))
    | product(bigC(b,b,product(a,c)),product(a,b)) != product(c,product(c,bigC(b,b,c)))
    | bigC(b,a,product(product(a,c),b)) = product(c,product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,product(a,c)),product(a,b)),product(c,product(c,bigC(b,b,c)))) ),[0],$fot(bigC(b,a,product(product(a,c),b)))]]) ).

cnf(refute_0_14695,plain,
    ( product(bigC(b,b,product(a,c)),product(a,b)) != product(c,product(c,bigC(b,b,c)))
    | bigC(b,a,product(product(a,c),b)) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),product(a,b)),bigC(b,a,product(product(a,c),b))) )],[refute_0_14693,refute_0_14694]) ).

cnf(refute_0_14696,plain,
    bigC(b,a,product(product(a,c),b)) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),product(a,b)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14688,refute_0_14695]) ).

cnf(refute_0_14697,plain,
    ( bigC(b,a,product(product(a,c),b)) != product(c,product(c,bigC(b,b,c)))
    | bigC(b,product(product(a,c),b),a) != bigC(b,a,product(product(a,c),b))
    | bigC(b,product(product(a,c),b),a) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,product(product(a,c),b),a))),bind(Y,$fot(bigC(b,a,product(product(a,c),b)))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_14698,plain,
    ( bigC(b,a,product(product(a,c),b)) != product(c,product(c,bigC(b,b,c)))
    | bigC(b,product(product(a,c),b),a) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(product(a,c),b),a),bigC(b,a,product(product(a,c),b))) )],[refute_0_14689,refute_0_14697]) ).

cnf(refute_0_14699,plain,
    bigC(b,product(product(a,c),b),a) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(product(a,c),b)),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14696,refute_0_14698]) ).

cnf(refute_0_14700,plain,
    product(product(product(b,product(a,c)),a),b) = bigC(b,product(product(a,c),b),a),
    inference(subst,[],[refute_0_11208:[bind(X_18,$fot(product(a,c))),bind(X_97,$fot(a)),bind(X_98,$fot(b))]]) ).

cnf(refute_0_14701,plain,
    ( bigC(b,product(product(a,c),b),a) != product(c,product(c,bigC(b,b,c)))
    | product(product(product(b,product(a,c)),a),b) != bigC(b,product(product(a,c),b),a)
    | product(product(product(b,product(a,c)),a),b) = product(c,product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,product(a,c)),a),b))),bind(Y,$fot(bigC(b,product(product(a,c),b),a))),bind(Z,$fot(product(c,product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_14702,plain,
    ( bigC(b,product(product(a,c),b),a) != product(c,product(c,bigC(b,b,c)))
    | product(product(product(b,product(a,c)),a),b) = product(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),a),b),bigC(b,product(product(a,c),b),a)) )],[refute_0_14700,refute_0_14701]) ).

cnf(refute_0_14703,plain,
    product(product(product(b,product(a,c)),a),b) = product(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,product(product(a,c),b),a),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14699,refute_0_14702]) ).

cnf(refute_0_14704,plain,
    product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)))]]) ).

cnf(refute_0_14705,plain,
    ( product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) != product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b))
    | product(product(product(b,product(a,c)),a),b) != product(c,product(c,bigC(b,b,c)))
    | product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b))) ),[1,1],$fot(product(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_14706,plain,
    ( product(product(product(b,product(a,c)),a),b) != product(c,product(c,bigC(b,b,c)))
    | product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b))) )],[refute_0_14704,refute_0_14705]) ).

cnf(refute_0_14707,plain,
    product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),a),b),product(c,product(c,bigC(b,b,c)))) )],[refute_0_14703,refute_0_14706]) ).

cnf(refute_0_14708,plain,
    ( product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) != product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))
    | product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)))),bind(Y,$fot(product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14709,plain,
    ( product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),product(bigC(a,a,b),product(c,product(c,bigC(b,b,c))))) )],[refute_0_14707,refute_0_14708]) ).

cnf(refute_0_14710,plain,
    product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,bigC(b,b,c)))),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14579,refute_0_14709]) ).

cnf(refute_0_14711,plain,
    product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) = product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(a)),bind(X_25,$fot(b)),bind(X_26,$fot(b)),bind(X_97,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_14712,plain,
    ( product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) != product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b))
    | product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)))),bind(Y,$fot(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14713,plain,
    ( product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)),product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b))) )],[refute_0_14711,refute_0_14712]) ).

cnf(refute_0_14714,plain,
    product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(b,product(a,c)),a),b)),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14710,refute_0_14713]) ).

cnf(refute_0_14715,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) = product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)),
    inference(subst,[],[refute_0_5909:[bind(B,$fot(product(product(b,product(a,c)),a))),bind(X_96,$fot(a)),bind(X_97,$fot(a)),bind(X_98,$fot(b))]]) ).

cnf(refute_0_14716,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) != product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b))
    | product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14717,plain,
    ( product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)),product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b))) )],[refute_0_14715,refute_0_14716]) ).

cnf(refute_0_14718,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(product(b,product(a,c)),a),b)),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14714,refute_0_14717]) ).

cnf(refute_0_14719,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))))]]) ).

cnf(refute_0_14720,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) != product(a,b)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) ),[1,2],$fot(product(a,b))]]) ).

cnf(refute_0_14721,plain,
    ( quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) != product(a,b)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) )],[refute_0_14719,refute_0_14720]) ).

cnf(refute_0_14722,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(a,b)) )],[refute_0_12750,refute_0_14721]) ).

cnf(refute_0_14723,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b))
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))))),bind(Y,$fot(bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)))),bind(Z,$fot(product(product(a,bigC(b,a,product(b,a))),c)))]]) ).

cnf(refute_0_14724,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)) != product(product(a,bigC(b,a,product(b,a))),c)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(a,bigC(b,a,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b))) )],[refute_0_14722,refute_0_14723]) ).

cnf(refute_0_14725,plain,
    bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(a,bigC(b,a,product(b,a))),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),product(a,b)),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14718,refute_0_14724]) ).

cnf(refute_0_14726,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(a,bigC(b,a,product(b,a))),c)
    | bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) ),[0],$fot(product(product(a,bigC(b,a,product(b,a))),c))]]) ).

cnf(refute_0_14727,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_14725,refute_0_14726]) ).

cnf(refute_0_14728,plain,
    product(product(c,a),product(c,product(b,bigC(b,b,c)))) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(a)),bind(X_26,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_14729,plain,
    difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),quotient(product(bigC(a,a,b),b),product(c,b)))),
    inference(subst,[],[refute_0_294:[bind(A,$fot(product(bigC(a,a,b),b))),bind(X_30,$fot(product(c,b)))]]) ).

cnf(refute_0_14730,plain,
    quotient(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(c,b)) = bigC(b,product(a,b),product(a,c)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(b,product(a,b),product(a,c)))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_14731,plain,
    bigC(product(c,b),product(c,b),product(product(a,c),product(c,b))) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(product(c,b))),bind(X_36,$fot(product(a,c)))]]) ).

cnf(refute_0_14732,plain,
    ( bigC(product(c,b),product(c,b),product(product(a,c),product(c,b))) != product(bigC(product(c,b),product(c,b),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,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(a,c),product(c,b))),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) ),[0,2],$fot(product(a,b))]]) ).

cnf(refute_0_14733,plain,
    ( bigC(product(c,b),product(c,b),product(product(a,c),product(c,b))) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[refute_0_103,refute_0_14732]) ).

cnf(refute_0_14734,plain,
    bigC(product(c,b),product(c,b),product(a,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(a,c),product(c,b))),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) )],[refute_0_14731,refute_0_14733]) ).

cnf(refute_0_14735,plain,
    product(product(c,product(a,b)),bigC(b,b,c)) = bigC(b,product(a,b),product(a,b)),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(product(a,b)))]]) ).

cnf(refute_0_14736,plain,
    bigC(product(c,b),product(c,b),product(a,b)) = product(product(c,product(a,b)),bigC(b,b,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_14737,plain,
    ( bigC(product(c,b),product(c,b),product(a,b)) != product(product(c,product(a,b)),bigC(b,b,c))
    | product(product(c,product(a,b)),bigC(b,b,c)) != bigC(b,product(a,b),product(a,b))
    | bigC(product(c,b),product(c,b),product(a,b)) = bigC(b,product(a,b),product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(a,b)))),bind(Y,$fot(product(product(c,product(a,b)),bigC(b,b,c)))),bind(Z,$fot(bigC(b,product(a,b),product(a,b))))]]) ).

cnf(refute_0_14738,plain,
    ( product(product(c,product(a,b)),bigC(b,b,c)) != bigC(b,product(a,b),product(a,b))
    | bigC(product(c,b),product(c,b),product(a,b)) = bigC(b,product(a,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,b)),product(product(c,product(a,b)),bigC(b,b,c))) )],[refute_0_14736,refute_0_14737]) ).

cnf(refute_0_14739,plain,
    bigC(product(c,b),product(c,b),product(a,b)) = bigC(b,product(a,b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),bigC(b,b,c)),bigC(b,product(a,b),product(a,b))) )],[refute_0_14735,refute_0_14738]) ).

cnf(refute_0_14740,plain,
    ( bigC(product(c,b),product(c,b),product(a,b)) != bigC(b,product(a,b),product(a,b))
    | bigC(product(c,b),product(c,b),product(a,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,b)),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) ),[0],$fot(bigC(b,product(a,b),product(a,b)))]]) ).

cnf(refute_0_14741,plain,
    ( bigC(product(c,b),product(c,b),product(a,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,b)),bigC(b,product(a,b),product(a,b))) )],[refute_0_14739,refute_0_14740]) ).

cnf(refute_0_14742,plain,
    product(product(c,product(a,c)),bigC(b,b,c)) = bigC(b,product(a,b),product(a,c)),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(product(a,c)))]]) ).

cnf(refute_0_14743,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)) != bigC(b,product(a,b),product(a,c))
    | bigC(product(c,b),product(c,b),product(a,c)) = bigC(b,product(a,b),product(a,c)) ),
    inference(subst,[],[refute_0_32:[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(bigC(b,product(a,b),product(a,c))))]]) ).

cnf(refute_0_14744,plain,
    ( product(product(c,product(a,c)),bigC(b,b,c)) != bigC(b,product(a,b),product(a,c))
    | bigC(product(c,b),product(c,b),product(a,c)) = bigC(b,product(a,b),product(a,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_956,refute_0_14743]) ).

cnf(refute_0_14745,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = bigC(b,product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),bigC(b,b,c)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14742,refute_0_14744]) ).

cnf(refute_0_14746,plain,
    product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) = product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)))]]) ).

cnf(refute_0_14747,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != bigC(b,product(a,b),product(a,c))
    | product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) ),[1,0],$fot(bigC(b,product(a,b),product(a,c)))]]) ).

cnf(refute_0_14748,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != bigC(b,product(a,b),product(a,c))
    | product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) )],[refute_0_14746,refute_0_14747]) ).

cnf(refute_0_14749,plain,
    product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14745,refute_0_14748]) ).

cnf(refute_0_14750,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)) != product(bigC(b,product(a,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(a,b),product(a,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) ),[0],$fot(product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)))]]) ).

cnf(refute_0_14751,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) )],[refute_0_14749,refute_0_14750]) ).

cnf(refute_0_14752,plain,
    ( bigC(product(c,b),product(c,b),product(a,b)) != product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,b)),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) )],[refute_0_14741,refute_0_14751]) ).

cnf(refute_0_14753,plain,
    bigC(b,product(a,b),product(a,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,b)),product(bigC(product(c,b),product(c,b),product(a,c)),product(c,b))) )],[refute_0_14734,refute_0_14752]) ).

cnf(refute_0_14754,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(b,product(a,b),product(a,c)),product(c,b))
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) = bigC(b,product(a,b),product(a,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,product(a,b),product(a,b)))),bind(Y,$fot(product(bigC(b,product(a,b),product(a,c)),product(c,b))))]]) ).

cnf(refute_0_14755,plain,
    product(bigC(b,product(a,b),product(a,c)),product(c,b)) = bigC(b,product(a,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) )],[refute_0_14753,refute_0_14754]) ).

cnf(refute_0_14756,plain,
    ( product(bigC(b,product(a,b),product(a,c)),product(c,b)) != bigC(b,product(a,b),product(a,b))
    | quotient(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(c,b)),bigC(b,product(a,b),product(a,c))) ),[0,0],$fot(bigC(b,product(a,b),product(a,b)))]]) ).

cnf(refute_0_14757,plain,
    ( quotient(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),bigC(b,product(a,b),product(a,b))) )],[refute_0_14755,refute_0_14756]) ).

cnf(refute_0_14758,plain,
    quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = bigC(b,product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(c,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14730,refute_0_14757]) ).

cnf(refute_0_14759,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,b),product(c,product(b,c))) != product(product(a,b),bigC(b,a,b))
    | product(product(a,b),product(c,product(b,c))) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(c,product(b,c))))),bind(Y,$fot(product(product(a,b),bigC(b,a,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_14760,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,b),product(c,product(b,c))) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(b,c))),product(product(a,b),bigC(b,a,b))) )],[refute_0_7519,refute_0_14759]) ).

cnf(refute_0_14761,plain,
    product(product(a,b),product(c,product(b,c))) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,b)),product(bigC(a,a,b),b)) )],[refute_0_7528,refute_0_14760]) ).

cnf(refute_0_14762,plain,
    ( product(product(a,b),product(c,product(b,c))) != product(bigC(a,a,b),b)
    | product(product(c,product(c,b)),product(c,b)) != product(product(a,b),product(c,product(b,c)))
    | product(product(c,product(c,b)),product(c,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(c,b)))),bind(Y,$fot(product(product(a,b),product(c,product(b,c))))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_14763,plain,
    ( product(product(a,b),product(c,product(b,c))) != product(bigC(a,a,b),b)
    | product(product(c,product(c,b)),product(c,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(product(a,b),product(c,product(b,c)))) )],[refute_0_7520,refute_0_14762]) ).

cnf(refute_0_14764,plain,
    product(product(c,product(c,b)),product(c,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(b,c))),product(bigC(a,a,b),b)) )],[refute_0_14761,refute_0_14763]) ).

cnf(refute_0_14765,plain,
    quotient(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(a,b)) = bigC(b,product(a,b),product(a,c)),
    inference(subst,[],[refute_0_58:[bind(A,$fot(bigC(b,product(a,b),product(a,c)))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_14766,plain,
    product(c,difference(product(c,b),product(bigC(b,product(a,b),product(a,c)),product(c,b)))) = product(bigC(b,product(a,b),product(a,c)),product(a,b)),
    inference(subst,[],[refute_0_4453:[bind(B,$fot(bigC(b,product(a,b),product(a,c))))]]) ).

cnf(refute_0_14767,plain,
    ( product(bigC(b,product(a,b),product(a,c)),product(c,b)) != bigC(b,product(a,b),product(a,b))
    | product(c,difference(product(c,b),product(bigC(b,product(a,b),product(a,c)),product(c,b)))) != product(bigC(b,product(a,b),product(a,c)),product(a,b))
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(bigC(b,product(a,b),product(a,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),product(bigC(b,product(a,b),product(a,c)),product(c,b)))),product(bigC(b,product(a,b),product(a,c)),product(a,b))) ),[0,1,1],$fot(bigC(b,product(a,b),product(a,b)))]]) ).

cnf(refute_0_14768,plain,
    ( product(c,difference(product(c,b),product(bigC(b,product(a,b),product(a,c)),product(c,b)))) != product(bigC(b,product(a,b),product(a,c)),product(a,b))
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(bigC(b,product(a,b),product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),bigC(b,product(a,b),product(a,b))) )],[refute_0_14755,refute_0_14767]) ).

cnf(refute_0_14769,plain,
    product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(bigC(b,product(a,b),product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(bigC(b,product(a,b),product(a,c)),product(c,b)))),product(bigC(b,product(a,b),product(a,c)),product(a,b))) )],[refute_0_14766,refute_0_14768]) ).

cnf(refute_0_14770,plain,
    difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = product(X_19,product(c,b)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(c,b))),bind(X_18,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_14771,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != product(X_19,product(c,b))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = product(X_19,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),product(X_19,product(c,b))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_14772,plain,
    ( difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != product(X_19,product(c,b))
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = product(X_19,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_14771]) ).

cnf(refute_0_14773,plain,
    difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = product(X_19,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),product(X_19,product(c,b))) )],[refute_0_14770,refute_0_14772]) ).

cnf(refute_0_14774,plain,
    bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(C,product(c,b))),
    inference(subst,[],[refute_0_1:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))))]]) ).

cnf(refute_0_14775,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) != product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(C,product(c,b)))
    | product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))) != product(c,b)
    | bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,b),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C),product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(C,product(c,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_14776,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) != product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(C,product(c,b)))
    | bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,b),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(c,b)) )],[refute_0_7385,refute_0_14775]) ).

cnf(refute_0_14777,plain,
    bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,b),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C),product(product(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b))))),product(C,product(c,b)))) )],[refute_0_14774,refute_0_14776]) ).

cnf(refute_0_14778,plain,
    product(product(c,b),product(C,product(c,b))) = product(product(c,C),bigC(b,b,c)),
    inference(subst,[],[refute_0_566:[bind(A,$fot(c)),bind(B,$fot(b)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_14779,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) != product(product(c,b),product(C,product(c,b)))
    | product(product(c,b),product(C,product(c,b))) != product(product(c,C),bigC(b,b,c))
    | bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,C),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C),product(product(c,C),bigC(b,b,c))) ),[0],$fot(product(product(c,b),product(C,product(c,b))))]]) ).

cnf(refute_0_14780,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) != product(product(c,b),product(C,product(c,b)))
    | bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,C),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(C,product(c,b))),product(product(c,C),bigC(b,b,c))) )],[refute_0_14778,refute_0_14779]) ).

cnf(refute_0_14781,plain,
    bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C) = product(product(c,C),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),C),product(product(c,b),product(C,product(c,b)))) )],[refute_0_14777,refute_0_14780]) ).

cnf(refute_0_14782,plain,
    bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19) = product(product(c,X_19),bigC(b,b,c)),
    inference(subst,[],[refute_0_14781:[bind(C,$fot(X_19))]]) ).

cnf(refute_0_14783,plain,
    difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),
    introduced(tautology,[refl,[$fot(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)))]]) ).

cnf(refute_0_14784,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19) != product(product(c,X_19),bigC(b,b,c))
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19))
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19))) ),[1,1],$fot(product(product(c,X_19),bigC(b,b,c)))]]) ).

cnf(refute_0_14785,plain,
    ( bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19) != product(product(c,X_19),bigC(b,b,c))
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19))) )],[refute_0_14783,refute_0_14784]) ).

cnf(refute_0_14786,plain,
    difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) = difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19),product(product(c,X_19),bigC(b,b,c))) )],[refute_0_14782,refute_0_14785]) ).

cnf(refute_0_14787,plain,
    ( difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != difference(product(c,b),product(product(c,X_19),bigC(b,b,c)))
    | difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != product(X_19,product(c,b))
    | difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = product(X_19,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),product(X_19,product(c,b))) ),[0],$fot(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))))]]) ).

cnf(refute_0_14788,plain,
    ( difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)) != product(X_19,product(c,b))
    | difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = product(X_19,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),difference(product(c,b),product(product(c,X_19),bigC(b,b,c)))) )],[refute_0_14786,refute_0_14787]) ).

cnf(refute_0_14789,plain,
    difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = product(X_19,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(product(c,b),product(product(c,b),product(product(bigC(a,a,b),b),bigC(c,b,product(c,b)))),X_19)),product(X_19,product(c,b))) )],[refute_0_14773,refute_0_14788]) ).

cnf(refute_0_14790,plain,
    product(product(c,X_19),bigC(b,b,c)) = bigC(b,product(a,b),X_19),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(X_19))]]) ).

cnf(refute_0_14791,plain,
    difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))))]]) ).

cnf(refute_0_14792,plain,
    ( difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) != difference(product(c,b),product(product(c,X_19),bigC(b,b,c)))
    | product(product(c,X_19),bigC(b,b,c)) != bigC(b,product(a,b),X_19)
    | difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = difference(product(c,b),bigC(b,product(a,b),X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),difference(product(c,b),product(product(c,X_19),bigC(b,b,c)))) ),[1,1],$fot(bigC(b,product(a,b),X_19))]]) ).

cnf(refute_0_14793,plain,
    ( product(product(c,X_19),bigC(b,b,c)) != bigC(b,product(a,b),X_19)
    | difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = difference(product(c,b),bigC(b,product(a,b),X_19)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),difference(product(c,b),product(product(c,X_19),bigC(b,b,c)))) )],[refute_0_14791,refute_0_14792]) ).

cnf(refute_0_14794,plain,
    difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) = difference(product(c,b),bigC(b,product(a,b),X_19)),
    inference(resolve,[$cnf( $equal(product(product(c,X_19),bigC(b,b,c)),bigC(b,product(a,b),X_19)) )],[refute_0_14790,refute_0_14793]) ).

cnf(refute_0_14795,plain,
    ( difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) != difference(product(c,b),bigC(b,product(a,b),X_19))
    | difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) != product(X_19,product(c,b))
    | difference(product(c,b),bigC(b,product(a,b),X_19)) = product(X_19,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),product(X_19,product(c,b))) ),[0],$fot(difference(product(c,b),bigC(b,product(a,b),X_19)))]]) ).

cnf(refute_0_14796,plain,
    ( difference(product(c,b),product(product(c,X_19),bigC(b,b,c))) != product(X_19,product(c,b))
    | difference(product(c,b),bigC(b,product(a,b),X_19)) = product(X_19,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),difference(product(c,b),bigC(b,product(a,b),X_19))) )],[refute_0_14794,refute_0_14795]) ).

cnf(refute_0_14797,plain,
    difference(product(c,b),bigC(b,product(a,b),X_19)) = product(X_19,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,X_19),bigC(b,b,c))),product(X_19,product(c,b))) )],[refute_0_14789,refute_0_14796]) ).

cnf(refute_0_14798,plain,
    difference(product(c,b),bigC(b,product(a,b),product(a,b))) = product(product(a,b),product(c,b)),
    inference(subst,[],[refute_0_14797:[bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_14799,plain,
    ( difference(product(c,b),bigC(b,product(a,b),product(a,b))) != product(product(a,b),product(c,b))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(c,b),bigC(b,product(a,b),product(a,b))) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,b),bigC(b,product(a,b),product(a,b))))),bind(Y,$fot(product(product(a,b),product(c,b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14800,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(c,b),bigC(b,product(a,b),product(a,b))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,product(a,b),product(a,b))),product(product(a,b),product(c,b))) )],[refute_0_14798,refute_0_14799]) ).

cnf(refute_0_14801,plain,
    difference(product(c,b),bigC(b,product(a,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_1152,refute_0_14800]) ).

cnf(refute_0_14802,plain,
    product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))))]]) ).

cnf(refute_0_14803,plain,
    ( difference(product(c,b),bigC(b,product(a,b),product(a,b))) != product(product(a,c),b)
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) != product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b))))
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b))))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_14804,plain,
    ( difference(product(c,b),bigC(b,product(a,b),product(a,b))) != product(product(a,c),b)
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b))))) )],[refute_0_14802,refute_0_14803]) ).

cnf(refute_0_14805,plain,
    product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,product(a,b),product(a,b))),product(product(a,c),b)) )],[refute_0_14801,refute_0_14804]) ).

cnf(refute_0_14806,plain,
    ( product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) != product(bigC(b,product(a,b),product(a,c)),product(a,b))
    | product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) != product(c,product(product(a,c),b))
    | product(c,product(product(a,c),b)) = product(bigC(b,product(a,b),product(a,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),product(bigC(b,product(a,b),product(a,c)),product(a,b))) ),[0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_14807,plain,
    ( product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))) != product(bigC(b,product(a,b),product(a,c)),product(a,b))
    | product(c,product(product(a,c),b)) = product(bigC(b,product(a,b),product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),product(c,product(product(a,c),b))) )],[refute_0_14805,refute_0_14806]) ).

cnf(refute_0_14808,plain,
    product(c,product(product(a,c),b)) = product(bigC(b,product(a,b),product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),bigC(b,product(a,b),product(a,b)))),product(bigC(b,product(a,b),product(a,c)),product(a,b))) )],[refute_0_14769,refute_0_14807]) ).

cnf(refute_0_14809,plain,
    ( product(c,product(product(a,c),b)) != product(bigC(b,product(a,b),product(a,c)),product(a,b))
    | product(bigC(b,product(a,b),product(a,c)),product(a,b)) = product(c,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(product(a,c),b)))),bind(Y,$fot(product(bigC(b,product(a,b),product(a,c)),product(a,b))))]]) ).

cnf(refute_0_14810,plain,
    product(bigC(b,product(a,b),product(a,c)),product(a,b)) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(bigC(b,product(a,b),product(a,c)),product(a,b))) )],[refute_0_14808,refute_0_14809]) ).

cnf(refute_0_14811,plain,
    ( product(bigC(b,product(a,b),product(a,c)),product(a,b)) != product(c,product(product(a,c),b))
    | quotient(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(a,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = bigC(b,product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(a,b)),bigC(b,product(a,b),product(a,c))) ),[0,0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_14812,plain,
    ( quotient(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(a,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = bigC(b,product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(c,product(product(a,c),b))) )],[refute_0_14810,refute_0_14811]) ).

cnf(refute_0_14813,plain,
    quotient(product(c,product(product(a,c),b)),product(a,b)) = bigC(b,product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,product(a,b),product(a,c)),product(a,b)),product(a,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14765,refute_0_14812]) ).

cnf(refute_0_14814,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_63:[bind(A,$fot(product(product(c,a),b))),bind(X_8,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_14815,plain,
    difference(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = product(a,b),
    inference(subst,[],[refute_0_500:[bind(B,$fot(product(a,b))),bind(X_41,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_14816,plain,
    ( difference(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != product(a,b)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),product(a,b)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_14817,plain,
    ( difference(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != product(a,b)
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_2586,refute_0_14816]) ).

cnf(refute_0_14818,plain,
    difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),bigC(b,a,bigC(c,a,b))),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),product(a,b)) )],[refute_0_14815,refute_0_14817]) ).

cnf(refute_0_14819,plain,
    ( product(product(a,b),quotient(product(a,b),product(product(a,c),b))) != product(product(product(c,a),a),b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(product(c,a),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) ),[1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_14820,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(a,b),quotient(product(a,b),product(product(a,c),b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),product(product(a,c),b))),product(product(product(c,a),a),b)) )],[refute_0_4691,refute_0_14819]) ).

cnf(refute_0_14821,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(a,b),quotient(product(a,b),product(product(a,c),b)))) )],[refute_0_4674,refute_0_14820]) ).

cnf(refute_0_14822,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))),bind(Y,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))),bind(Z,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_14823,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))) )],[refute_0_4667,refute_0_14822]) ).

cnf(refute_0_14824,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(product(c,a),a),b)) )],[refute_0_14821,refute_0_14823]) ).

cnf(refute_0_14825,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))
    | product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(product(c,a),a),b)
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))),bind(Y,$fot(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)))),bind(Z,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_14826,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)) != product(product(product(c,a),a),b)
    | bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a))) )],[refute_0_4668,refute_0_14825]) ).

cnf(refute_0_14827,plain,
    bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,b,a)),product(product(product(c,a),a),b)) )],[refute_0_14824,refute_0_14826]) ).

cnf(refute_0_14828,plain,
    difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_14829,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(product(c,a),a),b)
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = difference(product(product(c,a),b),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))) ),[1,1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_14830,plain,
    ( bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(product(c,a),a),b)
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = difference(product(product(c,a),b),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_14828,refute_0_14829]) ).

cnf(refute_0_14831,plain,
    difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) = difference(product(product(c,a),b),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b))),product(product(product(c,a),a),b)) )],[refute_0_14827,refute_0_14830]) ).

cnf(refute_0_14832,plain,
    ( difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != difference(product(product(c,a),b),product(product(product(c,a),a),b))
    | difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != product(a,b)
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),product(a,b)) ),[0],$fot(difference(product(product(c,a),b),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_14833,plain,
    ( difference(product(product(c,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))) != product(a,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),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),difference(product(product(c,a),b),product(product(product(c,a),a),b))) )],[refute_0_14831,refute_0_14832]) ).

cnf(refute_0_14834,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,a),b),bigC(product(a,b),product(a,b),bigC(b,a,bigC(c,a,b)))),product(a,b)) )],[refute_0_14818,refute_0_14833]) ).

cnf(refute_0_14835,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_14836,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_14834,refute_0_14835]) ).

cnf(refute_0_14837,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_14814,refute_0_14836]) ).

cnf(refute_0_14838,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_14839,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_760,refute_0_14838]) ).

cnf(refute_0_14840,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_14837,refute_0_14839]) ).

cnf(refute_0_14841,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_14842,plain,
    ( product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | 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(a,product(b,product(b,c))),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(a,product(b,product(b,c))))]]) ).

cnf(refute_0_14843,plain,
    ( product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(a,product(b,product(b,c))),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_14841,refute_0_14842]) ).

cnf(refute_0_14844,plain,
    quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(a,product(b,product(b,c))),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(a,product(b,product(b,c)))) )],[refute_0_4768,refute_0_14843]) ).

cnf(refute_0_14845,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(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( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(c,product(c,b))) ),[0],$fot(quotient(product(a,product(b,product(b,c))),product(a,b)))]]) ).

cnf(refute_0_14846,plain,
    ( quotient(product(product(product(c,a),a),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(product(product(c,a),a),b),product(a,b)),quotient(product(a,product(b,product(b,c))),product(a,b))) )],[refute_0_14844,refute_0_14845]) ).

cnf(refute_0_14847,plain,
    quotient(product(a,product(b,product(b,c))),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_14840,refute_0_14846]) ).

cnf(refute_0_14848,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_14849,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_14850,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_14848,refute_0_14849]) ).

cnf(refute_0_14851,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_4831,refute_0_14850]) ).

cnf(refute_0_14852,plain,
    ( quotient(product(a,product(b,product(b,c))),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(c,product(product(a,c),b)),product(a,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(product(a,c),b)),product(a,b)))),bind(Y,$fot(quotient(product(a,product(b,product(b,c))),product(a,b)))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14853,plain,
    ( quotient(product(a,product(b,product(b,c))),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(c,product(product(a,c),b)),product(a,b)),quotient(product(a,product(b,product(b,c))),product(a,b))) )],[refute_0_14851,refute_0_14852]) ).

cnf(refute_0_14854,plain,
    quotient(product(c,product(product(a,c),b)),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_14847,refute_0_14853]) ).

cnf(refute_0_14855,plain,
    ( quotient(product(c,product(product(a,c),b)),product(a,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) != product(c,product(c,b))
    | product(c,product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),bigC(b,product(a,b),product(a,c))) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14856,plain,
    ( quotient(product(c,product(product(a,c),b)),product(a,b)) != bigC(b,product(a,b),product(a,c))
    | product(c,product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),product(c,product(c,b))) )],[refute_0_14854,refute_0_14855]) ).

cnf(refute_0_14857,plain,
    product(c,product(c,b)) = bigC(b,product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14813,refute_0_14856]) ).

cnf(refute_0_14858,plain,
    ( product(c,product(c,b)) != bigC(b,product(a,b),product(a,c))
    | bigC(b,product(a,b),product(a,c)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(bigC(b,product(a,b),product(a,c))))]]) ).

cnf(refute_0_14859,plain,
    bigC(b,product(a,b),product(a,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14857,refute_0_14858]) ).

cnf(refute_0_14860,plain,
    product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(bigC(b,product(a,b),product(a,c)),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(a,b),product(a,c)),product(c,b)))]]) ).

cnf(refute_0_14861,plain,
    ( bigC(b,product(a,b),product(a,c)) != product(c,product(c,b))
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) != product(bigC(b,product(a,b),product(a,c)),product(c,b))
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(product(c,product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14862,plain,
    ( bigC(b,product(a,b),product(a,c)) != product(c,product(c,b))
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) )],[refute_0_14860,refute_0_14861]) ).

cnf(refute_0_14863,plain,
    product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,c)),product(c,product(c,b))) )],[refute_0_14859,refute_0_14862]) ).

cnf(refute_0_14864,plain,
    ( product(bigC(b,product(a,b),product(a,c)),product(c,b)) != product(product(c,product(c,b)),product(c,b))
    | product(product(c,product(c,b)),product(c,b)) != product(bigC(a,a,b),b)
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,product(a,b),product(a,c)),product(c,b)))),bind(Y,$fot(product(product(c,product(c,b)),product(c,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_14865,plain,
    ( product(product(c,product(c,b)),product(c,b)) != product(bigC(a,a,b),b)
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(product(c,product(c,b)),product(c,b))) )],[refute_0_14863,refute_0_14864]) ).

cnf(refute_0_14866,plain,
    product(bigC(b,product(a,b),product(a,c)),product(c,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(bigC(a,a,b),b)) )],[refute_0_14764,refute_0_14865]) ).

cnf(refute_0_14867,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(b,product(a,b),product(a,c)),product(c,b))
    | product(bigC(b,product(a,b),product(a,c)),product(c,b)) != product(bigC(a,a,b),b)
    | bigC(b,product(a,b),product(a,b)) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(a,b),product(a,b)),product(bigC(a,a,b),b)) ),[0],$fot(product(bigC(b,product(a,b),product(a,c)),product(c,b)))]]) ).

cnf(refute_0_14868,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(b,product(a,b),product(a,c)),product(c,b))
    | bigC(b,product(a,b),product(a,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(a,b),product(a,c)),product(c,b)),product(bigC(a,a,b),b)) )],[refute_0_14866,refute_0_14867]) ).

cnf(refute_0_14869,plain,
    bigC(b,product(a,b),product(a,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,b)),product(bigC(b,product(a,b),product(a,c)),product(c,b))) )],[refute_0_14753,refute_0_14868]) ).

cnf(refute_0_14870,plain,
    quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)))]]) ).

cnf(refute_0_14871,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(a,a,b),b)
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) != quotient(bigC(b,product(a,b),product(a,b)),product(c,b))
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = quotient(product(bigC(a,a,b),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),quotient(bigC(b,product(a,b),product(a,b)),product(c,b))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_14872,plain,
    ( bigC(b,product(a,b),product(a,b)) != product(bigC(a,a,b),b)
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = quotient(product(bigC(a,a,b),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),quotient(bigC(b,product(a,b),product(a,b)),product(c,b))) )],[refute_0_14870,refute_0_14871]) ).

cnf(refute_0_14873,plain,
    quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) = quotient(product(bigC(a,a,b),b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,b)),product(bigC(a,a,b),b)) )],[refute_0_14869,refute_0_14872]) ).

cnf(refute_0_14874,plain,
    ( quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) != quotient(product(bigC(a,a,b),b),product(c,b))
    | quotient(product(bigC(a,a,b),b),product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),bigC(b,product(a,b),product(a,c))) ),[0],$fot(quotient(product(bigC(a,a,b),b),product(c,b)))]]) ).

cnf(refute_0_14875,plain,
    ( quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(bigC(a,a,b),b),product(c,b)) = bigC(b,product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),quotient(product(bigC(a,a,b),b),product(c,b))) )],[refute_0_14873,refute_0_14874]) ).

cnf(refute_0_14876,plain,
    ( bigC(b,product(a,b),product(a,c)) != product(c,product(c,b))
    | quotient(product(bigC(a,a,b),b),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(bigC(a,a,b),b),product(c,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),b),product(c,b)),bigC(b,product(a,b),product(a,c))) ),[1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14877,plain,
    ( quotient(product(bigC(a,a,b),b),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(bigC(a,a,b),b),product(c,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(a,c)),product(c,product(c,b))) )],[refute_0_14859,refute_0_14876]) ).

cnf(refute_0_14878,plain,
    ( quotient(bigC(b,product(a,b),product(a,b)),product(c,b)) != bigC(b,product(a,b),product(a,c))
    | quotient(product(bigC(a,a,b),b),product(c,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),b),product(c,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14875,refute_0_14877]) ).

cnf(refute_0_14879,plain,
    quotient(product(bigC(a,a,b),b),product(c,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(a,b),product(a,b)),product(c,b)),bigC(b,product(a,b),product(a,c))) )],[refute_0_14758,refute_0_14878]) ).

cnf(refute_0_14880,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(product(bigC(a,a,b),b),product(c,b))))
    | quotient(product(bigC(a,a,b),b),product(c,b)) != product(c,product(c,b))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(product(bigC(a,a,b),b),product(c,b))))) ),[1,1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14881,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(product(bigC(a,a,b),b),product(c,b))))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),b),product(c,b)),product(c,product(c,b))) )],[refute_0_14879,refute_0_14880]) ).

cnf(refute_0_14882,plain,
    difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(product(bigC(a,a,b),b),product(c,b))))) )],[refute_0_14729,refute_0_14881]) ).

cnf(refute_0_14883,plain,
    product(b,product(b,product(c,b))) = bigC(b,b,product(b,c)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_14884,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(b,product(b,product(c,b))) != bigC(b,b,product(b,c))
    | product(b,product(b,product(c,b))) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(b,product(b,product(c,b))))),bind(Y,$fot(bigC(b,b,product(b,c)))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_14885,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(b,product(b,product(c,b))) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(c,b))),bigC(b,b,product(b,c))) )],[refute_0_14883,refute_0_14884]) ).

cnf(refute_0_14886,plain,
    product(b,product(b,product(c,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_8906,refute_0_14885]) ).

cnf(refute_0_14887,plain,
    product(c,product(b,product(b,product(c,b)))) = product(c,product(b,product(b,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(c,product(b,product(b,product(c,b)))))]]) ).

cnf(refute_0_14888,plain,
    ( product(b,product(b,product(c,b))) != product(b,bigC(b,b,c))
    | product(c,product(b,product(b,product(c,b)))) != product(c,product(b,product(b,product(c,b))))
    | product(c,product(b,product(b,product(c,b)))) = product(c,product(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(b,product(b,product(c,b)))),product(c,product(b,product(b,product(c,b))))) ),[1,1],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_14889,plain,
    ( product(b,product(b,product(c,b))) != product(b,bigC(b,b,c))
    | product(c,product(b,product(b,product(c,b)))) = product(c,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(b,product(c,b)))),product(c,product(b,product(b,product(c,b))))) )],[refute_0_14887,refute_0_14888]) ).

cnf(refute_0_14890,plain,
    product(c,product(b,product(b,product(c,b)))) = product(c,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(c,b))),product(b,bigC(b,b,c))) )],[refute_0_14886,refute_0_14889]) ).

cnf(refute_0_14891,plain,
    difference(product(c,product(product(product(c,b),b),b)),product(c,b)) = product(c,product(b,product(b,product(c,b)))),
    inference(subst,[],[refute_0_2113:[bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b))),bind(X_67,$fot(b))]]) ).

cnf(refute_0_14892,plain,
    ( difference(product(c,product(product(product(c,b),b),b)),product(c,b)) != product(c,product(b,product(b,product(c,b))))
    | product(c,product(b,product(b,product(c,b)))) != product(c,product(b,bigC(b,b,c)))
    | difference(product(c,product(product(product(c,b),b),b)),product(c,b)) = product(c,product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,product(product(product(c,b),b),b)),product(c,b)))),bind(Y,$fot(product(c,product(b,product(b,product(c,b)))))),bind(Z,$fot(product(c,product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_14893,plain,
    ( product(c,product(b,product(b,product(c,b)))) != product(c,product(b,bigC(b,b,c)))
    | difference(product(c,product(product(product(c,b),b),b)),product(c,b)) = product(c,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(product(c,b),b),b)),product(c,b)),product(c,product(b,product(b,product(c,b))))) )],[refute_0_14891,refute_0_14892]) ).

cnf(refute_0_14894,plain,
    difference(product(c,product(product(product(c,b),b),b)),product(c,b)) = product(c,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(b,product(c,b)))),product(c,product(b,bigC(b,b,c)))) )],[refute_0_14890,refute_0_14893]) ).

cnf(refute_0_14895,plain,
    product(product(bigC(a,a,b),b),product(c,b)) = product(c,product(product(product(c,b),b),b)),
    inference(subst,[],[refute_0_7980:[bind(X_26,$fot(b))]]) ).

cnf(refute_0_14896,plain,
    difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)))]]) ).

cnf(refute_0_14897,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b))
    | product(product(bigC(a,a,b),b),product(c,b)) != product(c,product(product(product(c,b),b),b))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = difference(product(c,product(product(product(c,b),b),b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b))) ),[1,0],$fot(product(c,product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_14898,plain,
    ( product(product(bigC(a,a,b),b),product(c,b)) != product(c,product(product(product(c,b),b),b))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = difference(product(c,product(product(product(c,b),b),b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b))) )],[refute_0_14896,refute_0_14897]) ).

cnf(refute_0_14899,plain,
    difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = difference(product(c,product(product(product(c,b),b),b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(c,b)),product(c,product(product(product(c,b),b),b))) )],[refute_0_14895,refute_0_14898]) ).

cnf(refute_0_14900,plain,
    ( difference(product(c,product(product(product(c,b),b),b)),product(c,b)) != product(c,product(b,bigC(b,b,c)))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != difference(product(c,product(product(product(c,b),b),b)),product(c,b))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(c,product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)))),bind(Y,$fot(difference(product(c,product(product(product(c,b),b),b)),product(c,b)))),bind(Z,$fot(product(c,product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_14901,plain,
    ( difference(product(c,product(product(product(c,b),b),b)),product(c,b)) != product(c,product(b,bigC(b,b,c)))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(c,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),difference(product(c,product(product(product(c,b),b),b)),product(c,b))) )],[refute_0_14899,refute_0_14900]) ).

cnf(refute_0_14902,plain,
    difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) = product(c,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(product(c,b),b),b)),product(c,b)),product(c,product(b,bigC(b,b,c)))) )],[refute_0_14894,refute_0_14901]) ).

cnf(refute_0_14903,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(c,product(b,bigC(b,b,c)))
    | difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(c,product(c,b))))
    | product(c,product(b,bigC(b,b,c))) = product(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(c,product(c,b))))) ),[0],$fot(product(c,product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_14904,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(c,product(c,b))))
    | product(c,product(b,bigC(b,b,c))) = product(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),product(c,product(b,bigC(b,b,c)))) )],[refute_0_14902,refute_0_14903]) ).

cnf(refute_0_14905,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))),
    inference(subst,[],[refute_0_56:[bind(A,$fot(difference(product(bigC(c,a,c),b),product(c,b)))),bind(X_22,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14906,plain,
    quotient(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = product(c,b),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14907,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),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),product(c,b)) ),[0,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_14908,plain,
    ( quotient(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,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_7180,refute_0_14907]) ).

cnf(refute_0_14909,plain,
    quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),product(c,b)) )],[refute_0_14906,refute_0_14908]) ).

cnf(refute_0_14910,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) ),[0,2],$fot(product(c,b))]]) ).

cnf(refute_0_14911,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b)) )],[refute_0_14909,refute_0_14910]) ).

cnf(refute_0_14912,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) )],[refute_0_14905,refute_0_14911]) ).

cnf(refute_0_14913,plain,
    product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_14914,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b)))) ),[1,0],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_14915,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14913,refute_0_14914]) ).

cnf(refute_0_14916,plain,
    product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(c,b,c))) )],[refute_0_3192,refute_0_14915]) ).

cnf(refute_0_14917,plain,
    product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) = product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(product(c,b))),bind(B,$fot(c)),bind(C,$fot(bigC(c,a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_14918,plain,
    ( product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) != product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)))),bind(Y,$fot(product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_14919,plain,
    ( product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)),product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14917,refute_0_14918]) ).

cnf(refute_0_14920,plain,
    product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14916,refute_0_14919]) ).

cnf(refute_0_14921,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(c,b),bigC(c,a,b)))),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_14922,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c))
    | product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)))),bind(Z,$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_14923,plain,
    ( product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c))) )],[refute_0_14921,refute_0_14922]) ).

cnf(refute_0_14924,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,b),bigC(c,a,b))),bigC(b,b,c)),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14920,refute_0_14923]) ).

cnf(refute_0_14925,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14926,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) != bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b)))
    | quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_14927,plain,
    ( quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_14925,refute_0_14926]) ).

cnf(refute_0_14928,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b)) )],[refute_0_14909,refute_0_14927]) ).

cnf(refute_0_14929,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) != bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_14930,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_14928,refute_0_14929]) ).

cnf(refute_0_14931,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14924,refute_0_14930]) ).

cnf(refute_0_14932,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(B,$fot(product(c,b))),bind(C,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14933,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) != bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)))),bind(Y,$fot(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_14934,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)),bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_14932,refute_0_14933]) ).

cnf(refute_0_14935,plain,
    bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14931,refute_0_14934]) ).

cnf(refute_0_14936,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) ),[0],$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_14937,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14935,refute_0_14936]) ).

cnf(refute_0_14938,plain,
    bigC(product(c,b),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(c,b)),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(product(c,b))),bind(X_18,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14939,plain,
    ( bigC(product(c,b),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(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(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(c,b))) ),[1,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_14940,plain,
    ( bigC(product(c,b),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(c,b))
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(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_7180,refute_0_14939]) ).

cnf(refute_0_14941,plain,
    bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),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(c,b))) )],[refute_0_14938,refute_0_14940]) ).

cnf(refute_0_14942,plain,
    bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,b))),bind(C,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14943,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) != bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)))),bind(Y,$fot(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))))]]) ).

cnf(refute_0_14944,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_14942,refute_0_14943]) ).

cnf(refute_0_14945,plain,
    bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))) )],[refute_0_7192,refute_0_14944]) ).

cnf(refute_0_14946,plain,
    ( bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))
    | product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,product(c,product(c,a))),b)
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,product(c,product(c,a))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)))),bind(Y,$fot(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))))),bind(Z,$fot(product(product(c,product(c,product(c,a))),b)))]]) ).

cnf(refute_0_14947,plain,
    ( product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))) != product(product(c,product(c,product(c,a))),b)
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b)))) )],[refute_0_14945,refute_0_14946]) ).

cnf(refute_0_14948,plain,
    bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),bigC(c,a,b),product(c,b))),product(product(c,product(c,product(c,a))),b)) )],[refute_0_7191,refute_0_14947]) ).

cnf(refute_0_14949,plain,
    ( bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))
    | bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,product(c,product(c,a))),b) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))) ),[0],$fot(product(product(c,product(c,product(c,a))),b))]]) ).

cnf(refute_0_14950,plain,
    ( bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))
    | product(product(c,product(c,product(c,a))),b) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14948,refute_0_14949]) ).

cnf(refute_0_14951,plain,
    product(product(c,product(c,product(c,a))),b) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),bigC(c,a,b)),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))) )],[refute_0_14941,refute_0_14950]) ).

cnf(refute_0_14952,plain,
    ( product(product(c,product(c,product(c,a))),b) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) = product(product(c,product(c,product(c,a))),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,product(c,product(c,a))),b))),bind(Y,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_14953,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),b),product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b))) )],[refute_0_14951,refute_0_14952]) ).

cnf(refute_0_14954,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_14955,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_14956,plain,
    ( quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(c,b)
    | product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) )],[refute_0_14954,refute_0_14955]) ).

cnf(refute_0_14957,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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(c,b)),
    inference(resolve,[$cnf( $equal(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(c,b)) )],[refute_0_14909,refute_0_14956]) ).

cnf(refute_0_14958,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) != product(product(c,product(c,product(c,a))),b)
    | product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) = product(product(c,product(c,product(c,a))),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))))),bind(Y,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)))),bind(Z,$fot(product(product(c,product(c,product(c,a))),b)))]]) ).

cnf(refute_0_14959,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)) != product(product(c,product(c,product(c,a))),b)
    | product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(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(c,b))) )],[refute_0_14957,refute_0_14958]) ).

cnf(refute_0_14960,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(c,b)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14953,refute_0_14959]) ).

cnf(refute_0_14961,plain,
    ( product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) ),[1],$fot(product(product(c,product(c,product(c,a))),b))]]) ).

cnf(refute_0_14962,plain,
    ( product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14960,refute_0_14961]) ).

cnf(refute_0_14963,plain,
    ( bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)) != product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) )],[refute_0_14937,refute_0_14962]) ).

cnf(refute_0_14964,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),product(c,b)),product(difference(product(bigC(c,a,c),b),product(c,b)),quotient(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))) )],[refute_0_14912,refute_0_14963]) ).

cnf(refute_0_14965,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_14966,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_14967,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_14965,refute_0_14966]) ).

cnf(refute_0_14968,plain,
    bigC(b,b,bigC(c,a,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_14967]) ).

cnf(refute_0_14969,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_14970,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_14971,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_14969,refute_0_14970]) ).

cnf(refute_0_14972,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) = product(product(c,bigC(c,b,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_14968,refute_0_14971]) ).

cnf(refute_0_14973,plain,
    ( product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(product(c,bigC(c,b,c)),bigC(b,b,c))
    | product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,product(c,a))),b)) ),[0],$fot(product(product(c,bigC(c,b,c)),bigC(b,b,c)))]]) ).

cnf(refute_0_14974,plain,
    ( product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(product(c,bigC(c,b,c)),bigC(b,b,c))) )],[refute_0_14972,refute_0_14973]) ).

cnf(refute_0_14975,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14964,refute_0_14974]) ).

cnf(refute_0_14976,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,b,c)),bigC(b,b,c)))]]) ).

cnf(refute_0_14977,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,b,c))
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,bigC(b,a,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,c)),product(product(c,bigC(c,b,c)),bigC(b,b,c))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_14978,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,bigC(b,a,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,c)),product(product(c,bigC(c,b,c)),bigC(b,b,c))) )],[refute_0_14976,refute_0_14977]) ).

cnf(refute_0_14979,plain,
    product(product(c,bigC(c,b,c)),bigC(b,b,c)) = product(product(c,bigC(b,a,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_2857,refute_0_14978]) ).

cnf(refute_0_14980,plain,
    ( product(product(c,bigC(c,b,c)),bigC(b,b,c)) != product(product(c,bigC(b,a,b)),bigC(b,b,c))
    | product(product(c,bigC(c,b,c)),bigC(b,b,c)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,bigC(b,a,b)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,c)),product(product(c,product(c,product(c,a))),b)) ),[0],$fot(product(product(c,bigC(b,a,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_14981,plain,
    ( product(product(c,bigC(c,b,c)),bigC(b,b,c)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,bigC(b,a,b)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,c)),product(product(c,bigC(b,a,b)),bigC(b,b,c))) )],[refute_0_14979,refute_0_14980]) ).

cnf(refute_0_14982,plain,
    product(product(c,bigC(b,a,b)),bigC(b,b,c)) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,b,c)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14975,refute_0_14981]) ).

cnf(refute_0_14983,plain,
    product(product(c,bigC(b,a,b)),bigC(b,b,c)) = bigC(b,product(a,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_14984,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,b,c)) != bigC(b,product(a,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,b,c)) != product(product(c,product(c,product(c,a))),b)
    | bigC(b,product(a,b),bigC(b,a,b)) = product(product(c,product(c,product(c,a))),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,b,c)),product(product(c,product(c,product(c,a))),b)) ),[0],$fot(bigC(b,product(a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_14985,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,b,c)) != product(product(c,product(c,product(c,a))),b)
    | bigC(b,product(a,b),bigC(b,a,b)) = product(product(c,product(c,product(c,a))),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,b,c)),bigC(b,product(a,b),bigC(b,a,b))) )],[refute_0_14983,refute_0_14984]) ).

cnf(refute_0_14986,plain,
    bigC(b,product(a,b),bigC(b,a,b)) = product(product(c,product(c,product(c,a))),b),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,b,c)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14982,refute_0_14985]) ).

cnf(refute_0_14987,plain,
    product(product(c,product(c,product(c,a))),b) = product(product(c,product(c,product(c,a))),b),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,product(c,a))),b))]]) ).

cnf(refute_0_14988,plain,
    ( product(c,product(c,product(c,a))) != bigC(c,c,product(b,a))
    | product(product(c,product(c,product(c,a))),b) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,product(c,product(c,a))),b) = product(bigC(c,c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,product(c,a))),b),product(product(c,product(c,product(c,a))),b)) ),[1,0],$fot(bigC(c,c,product(b,a)))]]) ).

cnf(refute_0_14989,plain,
    ( product(c,product(c,product(c,a))) != bigC(c,c,product(b,a))
    | product(product(c,product(c,product(c,a))),b) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),b),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14987,refute_0_14988]) ).

cnf(refute_0_14990,plain,
    product(product(c,product(c,product(c,a))),b) = product(bigC(c,c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(c,c,product(b,a))) )],[refute_0_3625,refute_0_14989]) ).

cnf(refute_0_14991,plain,
    ( bigC(b,product(a,b),bigC(b,a,b)) != product(product(c,product(c,product(c,a))),b)
    | product(product(c,product(c,product(c,a))),b) != product(bigC(c,c,product(b,a)),b)
    | bigC(b,product(a,b),bigC(b,a,b)) = product(bigC(c,c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(a,b),bigC(b,a,b)),product(bigC(c,c,product(b,a)),b)) ),[0],$fot(product(product(c,product(c,product(c,a))),b))]]) ).

cnf(refute_0_14992,plain,
    ( bigC(b,product(a,b),bigC(b,a,b)) != product(product(c,product(c,product(c,a))),b)
    | bigC(b,product(a,b),bigC(b,a,b)) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),b),product(bigC(c,c,product(b,a)),b)) )],[refute_0_14990,refute_0_14991]) ).

cnf(refute_0_14993,plain,
    bigC(b,product(a,b),bigC(b,a,b)) = product(bigC(c,c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),bigC(b,a,b)),product(product(c,product(c,product(c,a))),b)) )],[refute_0_14986,refute_0_14992]) ).

cnf(refute_0_14994,plain,
    bigC(b,product(a,b),product(product(c,b),c)) = bigC(b,product(a,b),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(bigC(b,product(a,b),product(product(c,b),c)))]]) ).

cnf(refute_0_14995,plain,
    ( bigC(b,product(a,b),product(product(c,b),c)) != bigC(b,product(a,b),product(product(c,b),c))
    | product(product(c,b),c) != bigC(b,a,b)
    | bigC(b,product(a,b),product(product(c,b),c)) = bigC(b,product(a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(a,b),product(product(c,b),c)),bigC(b,product(a,b),product(product(c,b),c))) ),[1,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14996,plain,
    ( product(product(c,b),c) != bigC(b,a,b)
    | bigC(b,product(a,b),product(product(c,b),c)) = bigC(b,product(a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(product(c,b),c)),bigC(b,product(a,b),product(product(c,b),c))) )],[refute_0_14994,refute_0_14995]) ).

cnf(refute_0_14997,plain,
    bigC(b,product(a,b),product(product(c,b),c)) = bigC(b,product(a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(b,a,b)) )],[refute_0_11509,refute_0_14996]) ).

cnf(refute_0_14998,plain,
    ( bigC(b,product(a,b),bigC(b,a,b)) != product(bigC(c,c,product(b,a)),b)
    | bigC(b,product(a,b),product(product(c,b),c)) != bigC(b,product(a,b),bigC(b,a,b))
    | bigC(b,product(a,b),product(product(c,b),c)) = product(bigC(c,c,product(b,a)),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,product(a,b),product(product(c,b),c)))),bind(Y,$fot(bigC(b,product(a,b),bigC(b,a,b)))),bind(Z,$fot(product(bigC(c,c,product(b,a)),b)))]]) ).

cnf(refute_0_14999,plain,
    ( bigC(b,product(a,b),bigC(b,a,b)) != product(bigC(c,c,product(b,a)),b)
    | bigC(b,product(a,b),product(product(c,b),c)) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(product(c,b),c)),bigC(b,product(a,b),bigC(b,a,b))) )],[refute_0_14997,refute_0_14998]) ).

cnf(refute_0_15000,plain,
    bigC(b,product(a,b),product(product(c,b),c)) = product(bigC(c,c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),bigC(b,a,b)),product(bigC(c,c,product(b,a)),b)) )],[refute_0_14993,refute_0_14999]) ).

cnf(refute_0_15001,plain,
    product(product(c,product(product(c,b),c)),bigC(b,b,c)) = bigC(b,product(a,b),product(product(c,b),c)),
    inference(subst,[],[refute_0_7458:[bind(X_25,$fot(product(product(c,b),c)))]]) ).

cnf(refute_0_15002,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),c)) = product(product(c,product(product(c,b),c)),bigC(b,b,c)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(product(c,b),c))),bind(X_65,$fot(c)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_15003,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),c)) != product(product(c,product(product(c,b),c)),bigC(b,b,c))
    | product(product(c,product(product(c,b),c)),bigC(b,b,c)) != bigC(b,product(a,b),product(product(c,b),c))
    | bigC(product(c,b),product(c,b),product(product(c,b),c)) = bigC(b,product(a,b),product(product(c,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(c,b),product(c,b),product(product(c,b),c)))),bind(Y,$fot(product(product(c,product(product(c,b),c)),bigC(b,b,c)))),bind(Z,$fot(bigC(b,product(a,b),product(product(c,b),c))))]]) ).

cnf(refute_0_15004,plain,
    ( product(product(c,product(product(c,b),c)),bigC(b,b,c)) != bigC(b,product(a,b),product(product(c,b),c))
    | bigC(product(c,b),product(c,b),product(product(c,b),c)) = bigC(b,product(a,b),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),c)),product(product(c,product(product(c,b),c)),bigC(b,b,c))) )],[refute_0_15002,refute_0_15003]) ).

cnf(refute_0_15005,plain,
    bigC(product(c,b),product(c,b),product(product(c,b),c)) = bigC(b,product(a,b),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,b),c)),bigC(b,b,c)),bigC(b,product(a,b),product(product(c,b),c))) )],[refute_0_15001,refute_0_15004]) ).

cnf(refute_0_15006,plain,
    product(product(c,b),product(product(c,b),product(c,product(c,b)))) = bigC(product(c,b),product(c,b),product(product(c,b),c)),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(c)),bind(X_65,$fot(product(c,b))),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_15007,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),c)) != bigC(b,product(a,b),product(product(c,b),c))
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) != bigC(product(c,b),product(c,b),product(product(c,b),c))
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) = bigC(b,product(a,b),product(product(c,b),c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(product(c,b),product(c,product(c,b)))))),bind(Y,$fot(bigC(product(c,b),product(c,b),product(product(c,b),c)))),bind(Z,$fot(bigC(b,product(a,b),product(product(c,b),c))))]]) ).

cnf(refute_0_15008,plain,
    ( bigC(product(c,b),product(c,b),product(product(c,b),c)) != bigC(b,product(a,b),product(product(c,b),c))
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) = bigC(b,product(a,b),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(c,product(c,b)))),bigC(product(c,b),product(c,b),product(product(c,b),c))) )],[refute_0_15006,refute_0_15007]) ).

cnf(refute_0_15009,plain,
    product(product(c,b),product(product(c,b),product(c,product(c,b)))) = bigC(b,product(a,b),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(product(c,b),c)),bigC(b,product(a,b),product(product(c,b),c))) )],[refute_0_15005,refute_0_15008]) ).

cnf(refute_0_15010,plain,
    ( bigC(b,product(a,b),product(product(c,b),c)) != product(bigC(c,c,product(b,a)),b)
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) != bigC(b,product(a,b),product(product(c,b),c))
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) = product(bigC(c,c,product(b,a)),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,b),product(product(c,b),product(c,product(c,b)))))),bind(Y,$fot(bigC(b,product(a,b),product(product(c,b),c)))),bind(Z,$fot(product(bigC(c,c,product(b,a)),b)))]]) ).

cnf(refute_0_15011,plain,
    ( bigC(b,product(a,b),product(product(c,b),c)) != product(bigC(c,c,product(b,a)),b)
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(c,product(c,b)))),bigC(b,product(a,b),product(product(c,b),c))) )],[refute_0_15009,refute_0_15010]) ).

cnf(refute_0_15012,plain,
    product(product(c,b),product(product(c,b),product(c,product(c,b)))) = product(bigC(c,c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(product(c,b),c)),product(bigC(c,c,product(b,a)),b)) )],[refute_0_15000,refute_0_15011]) ).

cnf(refute_0_15013,plain,
    ( product(c,product(b,bigC(b,b,c))) != product(product(c,b),product(product(c,b),product(c,product(c,b))))
    | product(product(c,b),product(product(c,b),product(c,product(c,b)))) != product(bigC(c,c,product(b,a)),b)
    | product(c,product(b,bigC(b,b,c))) = product(bigC(c,c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(b,bigC(b,b,c))),product(bigC(c,c,product(b,a)),b)) ),[0],$fot(product(product(c,b),product(product(c,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_15014,plain,
    ( product(c,product(b,bigC(b,b,c))) != product(product(c,b),product(product(c,b),product(c,product(c,b))))
    | product(c,product(b,bigC(b,b,c))) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(c,product(c,b)))),product(bigC(c,c,product(b,a)),b)) )],[refute_0_15012,refute_0_15013]) ).

cnf(refute_0_15015,plain,
    ( difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(c,product(c,b))))
    | product(c,product(b,bigC(b,b,c))) = product(bigC(c,c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,bigC(b,b,c))),product(product(c,b),product(product(c,b),product(c,product(c,b))))) )],[refute_0_14904,refute_0_15014]) ).

cnf(refute_0_15016,plain,
    product(c,product(b,bigC(b,b,c))) = product(bigC(c,c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(c,product(c,b))))) )],[refute_0_14882,refute_0_15015]) ).

cnf(refute_0_15017,plain,
    product(bigC(c,c,product(b,a)),b) = product(bigC(c,c,product(b,a)),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(b,a)),b))]]) ).

cnf(refute_0_15018,plain,
    ( bigC(c,c,product(b,a)) != bigC(a,b,product(b,a))
    | product(bigC(c,c,product(b,a)),b) != product(bigC(c,c,product(b,a)),b)
    | product(bigC(c,c,product(b,a)),b) = product(bigC(a,b,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(b,a)),b),product(bigC(c,c,product(b,a)),b)) ),[1,0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_15019,plain,
    ( bigC(c,c,product(b,a)) != bigC(a,b,product(b,a))
    | product(bigC(c,c,product(b,a)),b) = product(bigC(a,b,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(b,a)),b),product(bigC(c,c,product(b,a)),b)) )],[refute_0_15017,refute_0_15018]) ).

cnf(refute_0_15020,plain,
    product(bigC(c,c,product(b,a)),b) = product(bigC(a,b,product(b,a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_3694,refute_0_15019]) ).

cnf(refute_0_15021,plain,
    ( product(bigC(c,c,product(b,a)),b) != product(bigC(a,b,product(b,a)),b)
    | product(c,product(b,bigC(b,b,c))) != product(bigC(c,c,product(b,a)),b)
    | product(c,product(b,bigC(b,b,c))) = product(bigC(a,b,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(b,bigC(b,b,c))),product(bigC(c,c,product(b,a)),b)) ),[1],$fot(product(bigC(a,b,product(b,a)),b))]]) ).

cnf(refute_0_15022,plain,
    ( product(c,product(b,bigC(b,b,c))) != product(bigC(c,c,product(b,a)),b)
    | product(c,product(b,bigC(b,b,c))) = product(bigC(a,b,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(b,a)),b),product(bigC(a,b,product(b,a)),b)) )],[refute_0_15020,refute_0_15021]) ).

cnf(refute_0_15023,plain,
    product(c,product(b,bigC(b,b,c))) = product(bigC(a,b,product(b,a)),b),
    inference(resolve,[$cnf( $equal(product(c,product(b,bigC(b,b,c))),product(bigC(c,c,product(b,a)),b)) )],[refute_0_15016,refute_0_15022]) ).

cnf(refute_0_15024,plain,
    ( product(c,product(b,bigC(b,b,c))) != product(bigC(a,b,product(b,a)),b)
    | product(bigC(a,b,product(b,a)),b) = product(c,product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(b,bigC(b,b,c))))),bind(Y,$fot(product(bigC(a,b,product(b,a)),b)))]]) ).

cnf(refute_0_15025,plain,
    product(bigC(a,b,product(b,a)),b) = product(c,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(b,bigC(b,b,c))),product(bigC(a,b,product(b,a)),b)) )],[refute_0_15023,refute_0_15024]) ).

cnf(refute_0_15026,plain,
    product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(product(c,a),product(bigC(a,b,product(b,a)),b)),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(bigC(a,b,product(b,a)),b)))]]) ).

cnf(refute_0_15027,plain,
    ( product(bigC(a,b,product(b,a)),b) != product(c,product(b,bigC(b,b,c)))
    | product(product(c,a),product(bigC(a,b,product(b,a)),b)) != product(product(c,a),product(bigC(a,b,product(b,a)),b))
    | product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(product(c,a),product(c,product(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(bigC(a,b,product(b,a)),b)),product(product(c,a),product(bigC(a,b,product(b,a)),b))) ),[1,1],$fot(product(c,product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_15028,plain,
    ( product(bigC(a,b,product(b,a)),b) != product(c,product(b,bigC(b,b,c)))
    | product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(product(c,a),product(c,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,b,product(b,a)),b)),product(product(c,a),product(bigC(a,b,product(b,a)),b))) )],[refute_0_15026,refute_0_15027]) ).

cnf(refute_0_15029,plain,
    product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(product(c,a),product(c,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),b),product(c,product(b,bigC(b,b,c)))) )],[refute_0_15025,refute_0_15028]) ).

cnf(refute_0_15030,plain,
    ( product(product(c,a),product(bigC(a,b,product(b,a)),b)) != product(product(c,a),product(c,product(b,bigC(b,b,c))))
    | product(product(c,a),product(c,product(b,bigC(b,b,c)))) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,a),product(bigC(a,b,product(b,a)),b)))),bind(Y,$fot(product(product(c,a),product(c,product(b,bigC(b,b,c)))))),bind(Z,$fot(product(c,product(a,product(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_15031,plain,
    ( product(product(c,a),product(c,product(b,bigC(b,b,c)))) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,b,product(b,a)),b)),product(product(c,a),product(c,product(b,bigC(b,b,c))))) )],[refute_0_15029,refute_0_15030]) ).

cnf(refute_0_15032,plain,
    product(product(c,a),product(bigC(a,b,product(b,a)),b)) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(b,bigC(b,b,c)))),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_14728,refute_0_15031]) ).

cnf(refute_0_15033,plain,
    product(product(c,bigC(a,b,product(b,a))),product(a,b)) = product(product(c,a),product(bigC(a,b,product(b,a)),b)),
    inference(subst,[],[refute_0_10880:[bind(B,$fot(bigC(a,b,product(b,a)))),bind(D,$fot(b))]]) ).

cnf(refute_0_15034,plain,
    ( product(product(c,a),product(bigC(a,b,product(b,a)),b)) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,bigC(a,b,product(b,a))),product(a,b)) != product(product(c,a),product(bigC(a,b,product(b,a)),b))
    | product(product(c,bigC(a,b,product(b,a))),product(a,b)) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,b,product(b,a))),product(a,b)))),bind(Y,$fot(product(product(c,a),product(bigC(a,b,product(b,a)),b)))),bind(Z,$fot(product(c,product(a,product(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_15035,plain,
    ( product(product(c,a),product(bigC(a,b,product(b,a)),b)) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,bigC(a,b,product(b,a))),product(a,b)) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),product(a,b)),product(product(c,a),product(bigC(a,b,product(b,a)),b))) )],[refute_0_15033,refute_0_15034]) ).

cnf(refute_0_15036,plain,
    product(product(c,bigC(a,b,product(b,a))),product(a,b)) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(bigC(a,b,product(b,a)),b)),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_15032,refute_0_15035]) ).

cnf(refute_0_15037,plain,
    product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))))]]) ).

cnf(refute_0_15038,plain,
    ( product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) != product(a,b)
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_15039,plain,
    ( quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)) != product(a,b)
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) )],[refute_0_15037,refute_0_15038]) ).

cnf(refute_0_15040,plain,
    product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(product(c,bigC(a,b,product(b,a))),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)),product(a,b)) )],[refute_0_12750,refute_0_15039]) ).

cnf(refute_0_15041,plain,
    ( product(product(c,bigC(a,b,product(b,a))),product(a,b)) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),product(a,b))
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))))),bind(Y,$fot(product(product(c,bigC(a,b,product(b,a))),product(a,b)))),bind(Z,$fot(product(c,product(a,product(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_15042,plain,
    ( product(product(c,bigC(a,b,product(b,a))),product(a,b)) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),product(a,b))) )],[refute_0_15040,refute_0_15041]) ).

cnf(refute_0_15043,plain,
    product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),product(a,b)),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_15036,refute_0_15042]) ).

cnf(refute_0_15044,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(b,a,product(b,a))),c),product(c,product(a,product(b,bigC(b,b,c))))) ),[0],$fot(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))))]]) ).

cnf(refute_0_15045,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_15043,refute_0_15044]) ).

cnf(refute_0_15046,plain,
    ( bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))) != product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) )],[refute_0_14727,refute_0_15045]) ).

cnf(refute_0_15047,plain,
    product(product(a,bigC(b,a,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(product(b,product(a,c)),a),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a))),product(product(c,bigC(a,b,product(b,a))),quotient(product(c,bigC(a,b,product(b,a))),product(product(b,product(a,c)),a)))) )],[refute_0_12753,refute_0_15046]) ).

cnf(refute_0_15048,plain,
    product(product(b,a),difference(product(b,a),bigC(a,b,product(b,a)))) = bigC(a,b,product(b,a)),
    inference(subst,[],[refute_0_3:[bind(A,$fot(product(b,a))),bind(B,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_15049,plain,
    difference(product(b,a),bigC(product(b,a),product(b,a),product(a,b))) = product(product(a,b),product(b,a)),
    inference(subst,[],[refute_0_1045:[bind(A,$fot(product(b,a))),bind(X_36,$fot(product(a,b)))]]) ).

cnf(refute_0_15050,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))),
    inference(subst,[],[refute_0_4043:[bind(A,$fot(bigC(a,a,b))),bind(X_18,$fot(product(a,b))),bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_15051,plain,
    quotient(bigC(a,a,b),difference(product(b,a),bigC(a,a,b))) = product(b,a),
    inference(subst,[],[refute_0_63:[bind(A,$fot(product(b,a))),bind(X_8,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_15052,plain,
    difference(product(b,a),bigC(b,a,a)) = product(a,b),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(b)),bind(X_18,$fot(a)),bind(X_19,$fot(a))]]) ).

cnf(refute_0_15053,plain,
    difference(product(product(a,b),c),bigC(product(a,b),c,product(b,a))) = product(product(b,a),product(a,b)),
    inference(subst,[],[refute_0_71:[bind(X_17,$fot(product(a,b))),bind(X_18,$fot(c)),bind(X_19,$fot(product(b,a)))]]) ).

cnf(refute_0_15054,plain,
    product(product(product(difference(b,c),c),c),product(c,product(c,difference(b,c)))) = c,
    inference(subst,[],[refute_0_11:[bind(A,$fot(difference(b,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_15055,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | product(product(product(difference(b,c),c),c),product(c,product(c,difference(b,c)))) != c
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(c,difference(b,c)))),c) ),[0,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_15056,plain,
    ( product(product(product(difference(b,c),c),c),product(c,product(c,difference(b,c)))) != c
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_4338,refute_0_15055]) ).

cnf(refute_0_15057,plain,
    product(product(product(difference(b,c),c),c),product(c,product(a,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(c,difference(b,c)))),c) )],[refute_0_15054,refute_0_15056]) ).

cnf(refute_0_15058,plain,
    product(bigC(difference(b,c),c,b),product(c,product(a,c))) = bigC(product(difference(b,c),c),c,product(b,a)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(c)),bind(X_23,$fot(b)),bind(X_24,$fot(a)),bind(X_25,$fot(difference(b,c))),bind(X_26,$fot(c))]]) ).

cnf(refute_0_15059,plain,
    product(product(product(difference(X_72,C),X_71),B),product(C,D)) = product(product(product(difference(X_72,C),X_71),C),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(difference(X_72,C),X_71)))]]) ).

cnf(refute_0_15060,plain,
    bigC(difference(X_72,C),X_71,X_72) = product(product(difference(X_72,C),X_71),C),
    inference(subst,[],[refute_0_7:[bind(B,$fot(C)),bind(X_18,$fot(X_71)),bind(X_19,$fot(X_72))]]) ).

cnf(refute_0_15061,plain,
    ( bigC(difference(X_72,C),X_71,X_72) != product(product(difference(X_72,C),X_71),C)
    | product(product(difference(X_72,C),X_71),C) = bigC(difference(X_72,C),X_71,X_72) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(difference(X_72,C),X_71,X_72))),bind(Y,$fot(product(product(difference(X_72,C),X_71),C)))]]) ).

cnf(refute_0_15062,plain,
    product(product(difference(X_72,C),X_71),C) = bigC(difference(X_72,C),X_71,X_72),
    inference(resolve,[$cnf( $equal(bigC(difference(X_72,C),X_71,X_72),product(product(difference(X_72,C),X_71),C)) )],[refute_0_15060,refute_0_15061]) ).

cnf(refute_0_15063,plain,
    ( product(product(difference(X_72,C),X_71),C) != bigC(difference(X_72,C),X_71,X_72)
    | product(product(product(difference(X_72,C),X_71),B),product(C,D)) != product(product(product(difference(X_72,C),X_71),C),product(B,D))
    | product(product(product(difference(X_72,C),X_71),B),product(C,D)) = product(bigC(difference(X_72,C),X_71,X_72),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(X_72,C),X_71),B),product(C,D)),product(product(product(difference(X_72,C),X_71),C),product(B,D))) ),[1,0],$fot(bigC(difference(X_72,C),X_71,X_72))]]) ).

cnf(refute_0_15064,plain,
    ( product(product(product(difference(X_72,C),X_71),B),product(C,D)) != product(product(product(difference(X_72,C),X_71),C),product(B,D))
    | product(product(product(difference(X_72,C),X_71),B),product(C,D)) = product(bigC(difference(X_72,C),X_71,X_72),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_72,C),X_71),C),bigC(difference(X_72,C),X_71,X_72)) )],[refute_0_15062,refute_0_15063]) ).

cnf(refute_0_15065,plain,
    product(product(product(difference(X_72,C),X_71),B),product(C,D)) = product(bigC(difference(X_72,C),X_71,X_72),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(X_72,C),X_71),B),product(C,D)),product(product(product(difference(X_72,C),X_71),C),product(B,D))) )],[refute_0_15059,refute_0_15064]) ).

cnf(refute_0_15066,plain,
    product(product(product(difference(b,c),c),c),product(c,product(a,c))) = product(bigC(difference(b,c),c,b),product(c,product(a,c))),
    inference(subst,[],[refute_0_15065:[bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(product(a,c))),bind(X_71,$fot(c)),bind(X_72,$fot(b))]]) ).

cnf(refute_0_15067,plain,
    ( product(bigC(difference(b,c),c,b),product(c,product(a,c))) != bigC(product(difference(b,c),c),c,product(b,a))
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) != product(bigC(difference(b,c),c,b),product(c,product(a,c)))
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) = bigC(product(difference(b,c),c),c,product(b,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(difference(b,c),c),c),product(c,product(a,c))))),bind(Y,$fot(product(bigC(difference(b,c),c,b),product(c,product(a,c))))),bind(Z,$fot(bigC(product(difference(b,c),c),c,product(b,a))))]]) ).

cnf(refute_0_15068,plain,
    ( product(bigC(difference(b,c),c,b),product(c,product(a,c))) != bigC(product(difference(b,c),c),c,product(b,a))
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) = bigC(product(difference(b,c),c),c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(a,c))),product(bigC(difference(b,c),c,b),product(c,product(a,c)))) )],[refute_0_15066,refute_0_15067]) ).

cnf(refute_0_15069,plain,
    product(product(product(difference(b,c),c),c),product(c,product(a,c))) = bigC(product(difference(b,c),c),c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),c,b),product(c,product(a,c))),bigC(product(difference(b,c),c),c,product(b,a))) )],[refute_0_15058,refute_0_15068]) ).

cnf(refute_0_15070,plain,
    ( product(product(product(difference(b,c),c),c),product(c,product(a,c))) != bigC(product(difference(b,c),c),c,product(b,a))
    | product(product(product(difference(b,c),c),c),product(c,product(a,c))) != c
    | bigC(product(difference(b,c),c),c,product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(a,c))),c) ),[0],$fot(bigC(product(difference(b,c),c),c,product(b,a)))]]) ).

cnf(refute_0_15071,plain,
    ( product(product(product(difference(b,c),c),c),product(c,product(a,c))) != c
    | bigC(product(difference(b,c),c),c,product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(a,c))),bigC(product(difference(b,c),c),c,product(b,a))) )],[refute_0_15069,refute_0_15070]) ).

cnf(refute_0_15072,plain,
    bigC(product(difference(b,c),c),c,product(b,a)) = c,
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),c),c),product(c,product(a,c))),c) )],[refute_0_15057,refute_0_15071]) ).

cnf(refute_0_15073,plain,
    bigC(product(difference(b,c),c),c,product(b,a)) = bigC(product(difference(b,c),c),c,product(b,a)),
    introduced(tautology,[refl,[$fot(bigC(product(difference(b,c),c),c,product(b,a)))]]) ).

cnf(refute_0_15074,plain,
    ( bigC(product(difference(b,c),c),c,product(b,a)) != bigC(product(difference(b,c),c),c,product(b,a))
    | product(difference(b,c),c) != product(a,b)
    | bigC(product(difference(b,c),c),c,product(b,a)) = bigC(product(a,b),c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(difference(b,c),c),c,product(b,a)),bigC(product(difference(b,c),c),c,product(b,a))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_15075,plain,
    ( product(difference(b,c),c) != product(a,b)
    | bigC(product(difference(b,c),c),c,product(b,a)) = bigC(product(a,b),c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(difference(b,c),c),c,product(b,a)),bigC(product(difference(b,c),c),c,product(b,a))) )],[refute_0_15073,refute_0_15074]) ).

cnf(refute_0_15076,plain,
    bigC(product(difference(b,c),c),c,product(b,a)) = bigC(product(a,b),c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_5264,refute_0_15075]) ).

cnf(refute_0_15077,plain,
    ( bigC(product(difference(b,c),c),c,product(b,a)) != bigC(product(a,b),c,product(b,a))
    | bigC(product(difference(b,c),c),c,product(b,a)) != c
    | bigC(product(a,b),c,product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(difference(b,c),c),c,product(b,a)),c) ),[0],$fot(bigC(product(a,b),c,product(b,a)))]]) ).

cnf(refute_0_15078,plain,
    ( bigC(product(difference(b,c),c),c,product(b,a)) != c
    | bigC(product(a,b),c,product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(bigC(product(difference(b,c),c),c,product(b,a)),bigC(product(a,b),c,product(b,a))) )],[refute_0_15076,refute_0_15077]) ).

cnf(refute_0_15079,plain,
    bigC(product(a,b),c,product(b,a)) = c,
    inference(resolve,[$cnf( $equal(bigC(product(difference(b,c),c),c,product(b,a)),c) )],[refute_0_15072,refute_0_15078]) ).

cnf(refute_0_15080,plain,
    ( bigC(product(a,b),c,product(b,a)) != c
    | difference(product(product(a,b),c),bigC(product(a,b),c,product(b,a))) != product(product(b,a),product(a,b))
    | difference(product(product(a,b),c),c) = product(product(b,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),bigC(product(a,b),c,product(b,a))),product(product(b,a),product(a,b))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_15081,plain,
    ( difference(product(product(a,b),c),bigC(product(a,b),c,product(b,a))) != product(product(b,a),product(a,b))
    | difference(product(product(a,b),c),c) = product(product(b,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(b,a)),c) )],[refute_0_15079,refute_0_15080]) ).

cnf(refute_0_15082,plain,
    difference(product(product(a,b),c),c) = product(product(b,a),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(product(a,b),c,product(b,a))),product(product(b,a),product(a,b))) )],[refute_0_15053,refute_0_15081]) ).

cnf(refute_0_15083,plain,
    difference(product(c,product(c,b)),bigC(c,a,b)) = difference(product(c,product(c,b)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_15084,plain,
    ( bigC(c,a,b) != c
    | difference(product(c,product(c,b)),bigC(c,a,b)) != difference(product(c,product(c,b)),bigC(c,a,b))
    | difference(product(c,product(c,b)),bigC(c,a,b)) = difference(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),bigC(c,a,b)),difference(product(c,product(c,b)),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15085,plain,
    ( bigC(c,a,b) != c
    | difference(product(c,product(c,b)),bigC(c,a,b)) = difference(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(c,a,b)),difference(product(c,product(c,b)),bigC(c,a,b))) )],[refute_0_15083,refute_0_15084]) ).

cnf(refute_0_15086,plain,
    difference(product(c,product(c,b)),bigC(c,a,b)) = difference(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_772,refute_0_15085]) ).

cnf(refute_0_15087,plain,
    difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(product(c,a),b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,a),b),bigC(c,a,b)))]]) ).

cnf(refute_0_15088,plain,
    ( difference(product(product(c,a),b),bigC(c,a,b)) != difference(product(product(c,a),b),bigC(c,a,b))
    | product(product(c,a),b) != product(c,product(c,b))
    | difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),difference(product(product(c,a),b),bigC(c,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_15089,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),difference(product(product(c,a),b),bigC(c,a,b))) )],[refute_0_15087,refute_0_15088]) ).

cnf(refute_0_15090,plain,
    difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_15089]) ).

cnf(refute_0_15091,plain,
    ( difference(product(c,product(c,b)),bigC(c,a,b)) != difference(product(c,product(c,b)),c)
    | difference(product(product(c,a),b),bigC(c,a,b)) != difference(product(c,product(c,b)),bigC(c,a,b))
    | difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),c) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(c,a),b),bigC(c,a,b)))),bind(Y,$fot(difference(product(c,product(c,b)),bigC(c,a,b)))),bind(Z,$fot(difference(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_15092,plain,
    ( difference(product(c,product(c,b)),bigC(c,a,b)) != difference(product(c,product(c,b)),c)
    | difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),difference(product(c,product(c,b)),bigC(c,a,b))) )],[refute_0_15090,refute_0_15091]) ).

cnf(refute_0_15093,plain,
    difference(product(product(c,a),b),bigC(c,a,b)) = difference(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(c,a,b)),difference(product(c,product(c,b)),c)) )],[refute_0_15086,refute_0_15092]) ).

cnf(refute_0_15094,plain,
    ( difference(product(product(c,a),b),bigC(c,a,b)) != bigC(c,a,c)
    | difference(product(product(c,a),b),bigC(c,a,b)) != difference(product(c,product(c,b)),c)
    | difference(product(c,product(c,b)),c) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),bigC(c,a,c)) ),[0],$fot(difference(product(c,product(c,b)),c))]]) ).

cnf(refute_0_15095,plain,
    ( difference(product(product(c,a),b),bigC(c,a,b)) != bigC(c,a,c)
    | difference(product(c,product(c,b)),c) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),difference(product(c,product(c,b)),c)) )],[refute_0_15093,refute_0_15094]) ).

cnf(refute_0_15096,plain,
    difference(product(c,product(c,b)),c) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_10553,refute_0_15095]) ).

cnf(refute_0_15097,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(product(c,product(c,b)),c) != bigC(c,a,c)
    | difference(product(c,product(c,b)),c) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),c),bigC(c,a,c)) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15098,plain,
    ( difference(product(c,product(c,b)),c) != bigC(c,a,c)
    | difference(product(c,product(c,b)),c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1946,refute_0_15097]) ).

cnf(refute_0_15099,plain,
    difference(product(c,product(c,b)),c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),c),bigC(c,a,c)) )],[refute_0_15096,refute_0_15098]) ).

cnf(refute_0_15100,plain,
    difference(product(product(a,b),c),c) = difference(product(product(a,b),c),c),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),c),c))]]) ).

cnf(refute_0_15101,plain,
    ( difference(product(product(a,b),c),c) != difference(product(product(a,b),c),c)
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(product(product(a,b),c),c) = difference(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),c),difference(product(product(a,b),c),c)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_15102,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | difference(product(product(a,b),c),c) = difference(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),c),difference(product(product(a,b),c),c)) )],[refute_0_15100,refute_0_15101]) ).

cnf(refute_0_15103,plain,
    difference(product(product(a,b),c),c) = difference(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_4299,refute_0_15102]) ).

cnf(refute_0_15104,plain,
    ( difference(product(c,product(c,b)),c) != bigC(a,a,b)
    | difference(product(product(a,b),c),c) != difference(product(c,product(c,b)),c)
    | difference(product(product(a,b),c),c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(product(a,b),c),c))),bind(Y,$fot(difference(product(c,product(c,b)),c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_15105,plain,
    ( difference(product(c,product(c,b)),c) != bigC(a,a,b)
    | difference(product(product(a,b),c),c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),c),difference(product(c,product(c,b)),c)) )],[refute_0_15103,refute_0_15104]) ).

cnf(refute_0_15106,plain,
    difference(product(product(a,b),c),c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),c),bigC(a,a,b)) )],[refute_0_15099,refute_0_15105]) ).

cnf(refute_0_15107,plain,
    ( difference(product(product(a,b),c),c) != bigC(a,a,b)
    | difference(product(product(a,b),c),c) != product(product(b,a),product(a,b))
    | bigC(a,a,b) = product(product(b,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),c),product(product(b,a),product(a,b))) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15108,plain,
    ( difference(product(product(a,b),c),c) != product(product(b,a),product(a,b))
    | bigC(a,a,b) = product(product(b,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),c),bigC(a,a,b)) )],[refute_0_15106,refute_0_15107]) ).

cnf(refute_0_15109,plain,
    product(product(b,a),product(a,b)) = bigC(b,a,a),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_15110,plain,
    ( bigC(a,a,b) != product(product(b,a),product(a,b))
    | product(product(b,a),product(a,b)) != bigC(b,a,a)
    | bigC(a,a,b) = bigC(b,a,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,b),bigC(b,a,a)) ),[0],$fot(product(product(b,a),product(a,b)))]]) ).

cnf(refute_0_15111,plain,
    ( bigC(a,a,b) != product(product(b,a),product(a,b))
    | bigC(a,a,b) = bigC(b,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,b)),bigC(b,a,a)) )],[refute_0_15109,refute_0_15110]) ).

cnf(refute_0_15112,plain,
    ( difference(product(product(a,b),c),c) != product(product(b,a),product(a,b))
    | bigC(a,a,b) = bigC(b,a,a) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),product(product(b,a),product(a,b))) )],[refute_0_15108,refute_0_15111]) ).

cnf(refute_0_15113,plain,
    bigC(a,a,b) = bigC(b,a,a),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),c),product(product(b,a),product(a,b))) )],[refute_0_15082,refute_0_15112]) ).

cnf(refute_0_15114,plain,
    ( bigC(a,a,b) != bigC(b,a,a)
    | bigC(b,a,a) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(bigC(b,a,a)))]]) ).

cnf(refute_0_15115,plain,
    bigC(b,a,a) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),bigC(b,a,a)) )],[refute_0_15113,refute_0_15114]) ).

cnf(refute_0_15116,plain,
    ( bigC(b,a,a) != bigC(a,a,b)
    | difference(product(b,a),bigC(b,a,a)) != product(a,b)
    | difference(product(b,a),bigC(a,a,b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(b,a,a)),product(a,b)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15117,plain,
    ( difference(product(b,a),bigC(b,a,a)) != product(a,b)
    | difference(product(b,a),bigC(a,a,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,a),bigC(a,a,b)) )],[refute_0_15115,refute_0_15116]) ).

cnf(refute_0_15118,plain,
    difference(product(b,a),bigC(a,a,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(b,a,a)),product(a,b)) )],[refute_0_15052,refute_0_15117]) ).

cnf(refute_0_15119,plain,
    ( difference(product(b,a),bigC(a,a,b)) != product(a,b)
    | quotient(bigC(a,a,b),difference(product(b,a),bigC(a,a,b))) != product(b,a)
    | quotient(bigC(a,a,b),product(a,b)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),difference(product(b,a),bigC(a,a,b))),product(b,a)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_15120,plain,
    ( quotient(bigC(a,a,b),difference(product(b,a),bigC(a,a,b))) != product(b,a)
    | quotient(bigC(a,a,b),product(a,b)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,a,b)),product(a,b)) )],[refute_0_15118,refute_0_15119]) ).

cnf(refute_0_15121,plain,
    quotient(bigC(a,a,b),product(a,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),difference(product(b,a),bigC(a,a,b))),product(b,a)) )],[refute_0_15051,refute_0_15120]) ).

cnf(refute_0_15122,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(product(b,a),product(a,b),X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_15123,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | bigC(product(b,a),product(a,b),X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),product(b,a)) )],[refute_0_15121,refute_0_15122]) ).

cnf(refute_0_15124,plain,
    bigC(product(b,a),product(a,b),X_118) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))) )],[refute_0_15050,refute_0_15123]) ).

cnf(refute_0_15125,plain,
    bigC(product(b,a),difference(product(b,a),bigC(a,a,b)),X_19) = product(bigC(a,a,b),product(X_19,product(b,a))),
    inference(subst,[],[refute_0_98:[bind(B,$fot(bigC(a,a,b))),bind(X_17,$fot(product(b,a)))]]) ).

cnf(refute_0_15126,plain,
    ( bigC(product(b,a),difference(product(b,a),bigC(a,a,b)),X_19) != product(bigC(a,a,b),product(X_19,product(b,a)))
    | difference(product(b,a),bigC(a,a,b)) != product(a,b)
    | bigC(product(b,a),product(a,b),X_19) = product(bigC(a,a,b),product(X_19,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),bigC(a,a,b)),X_19),product(bigC(a,a,b),product(X_19,product(b,a)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_15127,plain,
    ( bigC(product(b,a),difference(product(b,a),bigC(a,a,b)),X_19) != product(bigC(a,a,b),product(X_19,product(b,a)))
    | bigC(product(b,a),product(a,b),X_19) = product(bigC(a,a,b),product(X_19,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,a,b)),product(a,b)) )],[refute_0_15118,refute_0_15126]) ).

cnf(refute_0_15128,plain,
    bigC(product(b,a),product(a,b),X_19) = product(bigC(a,a,b),product(X_19,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),bigC(a,a,b)),X_19),product(bigC(a,a,b),product(X_19,product(b,a)))) )],[refute_0_15125,refute_0_15127]) ).

cnf(refute_0_15129,plain,
    bigC(a,X_19,product(b,b)) = bigC(a,X_19,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(a,X_19,product(b,b)))]]) ).

cnf(refute_0_15130,plain,
    ( bigC(a,X_19,product(b,b)) != bigC(a,X_19,product(b,b))
    | product(b,b) != b
    | bigC(a,X_19,product(b,b)) = bigC(a,X_19,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_19,product(b,b)),bigC(a,X_19,product(b,b))) ),[1,2],$fot(b)]]) ).

cnf(refute_0_15131,plain,
    ( product(b,b) != b
    | bigC(a,X_19,product(b,b)) = bigC(a,X_19,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(b,b)),bigC(a,X_19,product(b,b))) )],[refute_0_15129,refute_0_15130]) ).

cnf(refute_0_15132,plain,
    bigC(a,X_19,product(b,b)) = bigC(a,X_19,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_15131]) ).

cnf(refute_0_15133,plain,
    bigC(product(a,a),X_19,product(b,b)) = bigC(product(a,a),X_19,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_19,product(b,b)))]]) ).

cnf(refute_0_15134,plain,
    ( bigC(product(a,a),X_19,product(b,b)) != bigC(product(a,a),X_19,product(b,b))
    | product(a,a) != a
    | bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_19,product(b,b)),bigC(product(a,a),X_19,product(b,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_15135,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,product(b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(b,b)),bigC(product(a,a),X_19,product(b,b))) )],[refute_0_15133,refute_0_15134]) ).

cnf(refute_0_15136,plain,
    bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,product(b,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_479,refute_0_15135]) ).

cnf(refute_0_15137,plain,
    ( bigC(a,X_19,product(b,b)) != bigC(a,X_19,b)
    | bigC(product(a,a),X_19,product(b,b)) != bigC(a,X_19,product(b,b))
    | bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,a),X_19,product(b,b)))),bind(Y,$fot(bigC(a,X_19,product(b,b)))),bind(Z,$fot(bigC(a,X_19,b)))]]) ).

cnf(refute_0_15138,plain,
    ( bigC(a,X_19,product(b,b)) != bigC(a,X_19,b)
    | bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(b,b)),bigC(a,X_19,product(b,b))) )],[refute_0_15136,refute_0_15137]) ).

cnf(refute_0_15139,plain,
    bigC(product(a,a),X_19,product(b,b)) = bigC(a,X_19,b),
    inference(resolve,[$cnf( $equal(bigC(a,X_19,product(b,b)),bigC(a,X_19,b)) )],[refute_0_15132,refute_0_15138]) ).

cnf(refute_0_15140,plain,
    product(bigC(a,a,b),product(X_19,product(b,a))) = bigC(product(a,a),X_19,product(b,b)),
    inference(subst,[],[refute_0_3990:[bind(B,$fot(X_19)),bind(X_23,$fot(b)),bind(X_24,$fot(b)),bind(X_25,$fot(a)),bind(X_26,$fot(a))]]) ).

cnf(refute_0_15141,plain,
    ( bigC(product(a,a),X_19,product(b,b)) != bigC(a,X_19,b)
    | product(bigC(a,a,b),product(X_19,product(b,a))) != bigC(product(a,a),X_19,product(b,b))
    | product(bigC(a,a,b),product(X_19,product(b,a))) = bigC(a,X_19,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(X_19,product(b,a))))),bind(Y,$fot(bigC(product(a,a),X_19,product(b,b)))),bind(Z,$fot(bigC(a,X_19,b)))]]) ).

cnf(refute_0_15142,plain,
    ( bigC(product(a,a),X_19,product(b,b)) != bigC(a,X_19,b)
    | product(bigC(a,a,b),product(X_19,product(b,a))) = bigC(a,X_19,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_19,product(b,a))),bigC(product(a,a),X_19,product(b,b))) )],[refute_0_15140,refute_0_15141]) ).

cnf(refute_0_15143,plain,
    product(bigC(a,a,b),product(X_19,product(b,a))) = bigC(a,X_19,b),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_19,product(b,b)),bigC(a,X_19,b)) )],[refute_0_15139,refute_0_15142]) ).

cnf(refute_0_15144,plain,
    ( bigC(product(b,a),product(a,b),X_19) != product(bigC(a,a,b),product(X_19,product(b,a)))
    | product(bigC(a,a,b),product(X_19,product(b,a))) != bigC(a,X_19,b)
    | bigC(product(b,a),product(a,b),X_19) = bigC(a,X_19,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),product(a,b),X_19),bigC(a,X_19,b)) ),[0],$fot(product(bigC(a,a,b),product(X_19,product(b,a))))]]) ).

cnf(refute_0_15145,plain,
    ( bigC(product(b,a),product(a,b),X_19) != product(bigC(a,a,b),product(X_19,product(b,a)))
    | bigC(product(b,a),product(a,b),X_19) = bigC(a,X_19,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_19,product(b,a))),bigC(a,X_19,b)) )],[refute_0_15143,refute_0_15144]) ).

cnf(refute_0_15146,plain,
    bigC(product(b,a),product(a,b),X_19) = bigC(a,X_19,b),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,b),X_19),product(bigC(a,a,b),product(X_19,product(b,a)))) )],[refute_0_15128,refute_0_15145]) ).

cnf(refute_0_15147,plain,
    bigC(product(b,a),product(a,b),X_118) = bigC(a,X_118,b),
    inference(subst,[],[refute_0_15146:[bind(X_19,$fot(X_118))]]) ).

cnf(refute_0_15148,plain,
    ( bigC(product(b,a),product(a,b),X_118) != bigC(a,X_118,b)
    | bigC(product(b,a),product(a,b),X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | bigC(a,X_118,b) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),product(a,b),X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))) ),[0],$fot(bigC(a,X_118,b))]]) ).

cnf(refute_0_15149,plain,
    ( bigC(product(b,a),product(a,b),X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | bigC(a,X_118,b) = product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,b),X_118),bigC(a,X_118,b)) )],[refute_0_15147,refute_0_15148]) ).

cnf(refute_0_15150,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) = bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)))]]) ).

cnf(refute_0_15151,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) != bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b))
    | quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) = bigC(product(b,a),X_118,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)),bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_15152,plain,
    ( quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) = bigC(product(b,a),X_118,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)),bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b))) )],[refute_0_15150,refute_0_15151]) ).

cnf(refute_0_15153,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) = bigC(product(b,a),X_118,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),product(b,a)) )],[refute_0_15121,refute_0_15152]) ).

cnf(refute_0_15154,plain,
    product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) = bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)),
    inference(subst,[],[refute_0_11111:[bind(B,$fot(X_118)),bind(C,$fot(product(a,b))),bind(X_116,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_15155,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) != bigC(product(b,a),X_118,product(a,b))
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) != bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b))
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) = bigC(product(b,a),X_118,product(a,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))))),bind(Y,$fot(bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)))),bind(Z,$fot(bigC(product(b,a),X_118,product(a,b))))]]) ).

cnf(refute_0_15156,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)) != bigC(product(b,a),X_118,product(a,b))
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) = bigC(product(b,a),X_118,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))),bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b))) )],[refute_0_15154,refute_0_15155]) ).

cnf(refute_0_15157,plain,
    product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) = bigC(product(b,a),X_118,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),X_118,product(a,b)),bigC(product(b,a),X_118,product(a,b))) )],[refute_0_15153,refute_0_15156]) ).

cnf(refute_0_15158,plain,
    ( bigC(a,X_118,b) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))) != bigC(product(b,a),X_118,product(a,b))
    | bigC(a,X_118,b) = bigC(product(b,a),X_118,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_118,b),bigC(product(b,a),X_118,product(a,b))) ),[0],$fot(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))))]]) ).

cnf(refute_0_15159,plain,
    ( bigC(a,X_118,b) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | bigC(a,X_118,b) = bigC(product(b,a),X_118,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b)))),bigC(product(b,a),X_118,product(a,b))) )],[refute_0_15157,refute_0_15158]) ).

cnf(refute_0_15160,plain,
    ( bigC(product(b,a),product(a,b),X_118) != product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))
    | bigC(a,X_118,b) = bigC(product(b,a),X_118,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_118,b),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))) )],[refute_0_15149,refute_0_15159]) ).

cnf(refute_0_15161,plain,
    bigC(a,X_118,b) = bigC(product(b,a),X_118,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,b),X_118),product(bigC(a,a,b),product(X_118,quotient(bigC(a,a,b),product(a,b))))) )],[refute_0_15124,refute_0_15160]) ).

cnf(refute_0_15162,plain,
    bigC(a,product(b,a),b) = bigC(product(b,a),product(b,a),product(a,b)),
    inference(subst,[],[refute_0_15161:[bind(X_118,$fot(product(b,a)))]]) ).

cnf(refute_0_15163,plain,
    ( bigC(a,product(b,a),b) != bigC(product(b,a),product(b,a),product(a,b))
    | bigC(product(b,a),product(b,a),product(a,b)) = bigC(a,product(b,a),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,product(b,a),b))),bind(Y,$fot(bigC(product(b,a),product(b,a),product(a,b))))]]) ).

cnf(refute_0_15164,plain,
    bigC(product(b,a),product(b,a),product(a,b)) = bigC(a,product(b,a),b),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),b),bigC(product(b,a),product(b,a),product(a,b))) )],[refute_0_15162,refute_0_15163]) ).

cnf(refute_0_15165,plain,
    ( bigC(product(b,a),product(b,a),product(a,b)) != bigC(a,product(b,a),b)
    | difference(product(b,a),bigC(product(b,a),product(b,a),product(a,b))) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,product(b,a),b)) = product(product(a,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(product(b,a),product(b,a),product(a,b))),product(product(a,b),product(b,a))) ),[0,1],$fot(bigC(a,product(b,a),b))]]) ).

cnf(refute_0_15166,plain,
    ( difference(product(b,a),bigC(product(b,a),product(b,a),product(a,b))) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,product(b,a),b)) = product(product(a,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(a,b)),bigC(a,product(b,a),b)) )],[refute_0_15164,refute_0_15165]) ).

cnf(refute_0_15167,plain,
    difference(product(b,a),bigC(a,product(b,a),b)) = product(product(a,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(product(b,a),product(b,a),product(a,b))),product(product(a,b),product(b,a))) )],[refute_0_15049,refute_0_15166]) ).

cnf(refute_0_15168,plain,
    difference(product(b,a),bigC(a,product(b,a),b)) = difference(product(b,a),bigC(a,product(b,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(b,a),bigC(a,product(b,a),b)))]]) ).

cnf(refute_0_15169,plain,
    ( bigC(a,product(b,a),b) != bigC(a,b,product(b,a))
    | difference(product(b,a),bigC(a,product(b,a),b)) != difference(product(b,a),bigC(a,product(b,a),b))
    | difference(product(b,a),bigC(a,product(b,a),b)) = difference(product(b,a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(a,product(b,a),b)),difference(product(b,a),bigC(a,product(b,a),b))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_15170,plain,
    ( bigC(a,product(b,a),b) != bigC(a,b,product(b,a))
    | difference(product(b,a),bigC(a,product(b,a),b)) = difference(product(b,a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,product(b,a),b)),difference(product(b,a),bigC(a,product(b,a),b))) )],[refute_0_15168,refute_0_15169]) ).

cnf(refute_0_15171,plain,
    difference(product(b,a),bigC(a,product(b,a),b)) = difference(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_3609,refute_0_15170]) ).

cnf(refute_0_15172,plain,
    ( difference(product(b,a),bigC(a,product(b,a),b)) != difference(product(b,a),bigC(a,b,product(b,a)))
    | difference(product(b,a),bigC(a,product(b,a),b)) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,b,product(b,a))) = product(product(a,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(a,product(b,a),b)),product(product(a,b),product(b,a))) ),[0],$fot(difference(product(b,a),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_15173,plain,
    ( difference(product(b,a),bigC(a,product(b,a),b)) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,b,product(b,a))) = product(product(a,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,product(b,a),b)),difference(product(b,a),bigC(a,b,product(b,a)))) )],[refute_0_15171,refute_0_15172]) ).

cnf(refute_0_15174,plain,
    quotient(c,product(c,product(c,quotient(c,a)))) = product(product(quotient(c,a),c),c),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(quotient(c,a))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_15175,plain,
    product(c,difference(b,product(c,b))) = product(c,difference(b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,difference(b,product(c,b))))]]) ).

cnf(refute_0_15176,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(c,difference(b,product(c,b))) != product(c,difference(b,product(c,b)))
    | product(c,difference(b,product(c,b))) = product(c,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(b,product(c,b))),product(c,difference(b,product(c,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15177,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(c,difference(b,product(c,b))) = product(c,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(c,difference(b,product(c,b)))) )],[refute_0_15175,refute_0_15176]) ).

cnf(refute_0_15178,plain,
    product(c,difference(b,product(c,b))) = product(c,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_6323,refute_0_15177]) ).

cnf(refute_0_15179,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(c,difference(b,product(c,b))) != product(c,quotient(c,a))
    | product(c,quotient(c,a)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) ),[0],$fot(product(c,quotient(c,a)))]]) ).

cnf(refute_0_15180,plain,
    ( product(c,difference(b,product(c,b))) != product(a,b)
    | product(c,quotient(c,a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(c,quotient(c,a))) )],[refute_0_15178,refute_0_15179]) ).

cnf(refute_0_15181,plain,
    product(c,quotient(c,a)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(c,difference(b,product(c,b))),product(a,b)) )],[refute_0_4350,refute_0_15180]) ).

cnf(refute_0_15182,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | quotient(c,product(c,product(c,quotient(c,a)))) != product(product(quotient(c,a),c),c)
    | quotient(c,product(c,product(a,b))) = product(product(quotient(c,a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,quotient(c,a)))),product(product(quotient(c,a),c),c)) ),[0,1,1],$fot(product(a,b))]]) ).

cnf(refute_0_15183,plain,
    ( quotient(c,product(c,product(c,quotient(c,a)))) != product(product(quotient(c,a),c),c)
    | quotient(c,product(c,product(a,b))) = product(product(quotient(c,a),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_15181,refute_0_15182]) ).

cnf(refute_0_15184,plain,
    quotient(c,product(c,product(a,b))) = product(product(quotient(c,a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,quotient(c,a)))),product(product(quotient(c,a),c),c)) )],[refute_0_15174,refute_0_15183]) ).

cnf(refute_0_15185,plain,
    quotient(c,difference(bigC(b,a,b),c)) = bigC(b,a,b),
    inference(subst,[],[refute_0_63:[bind(A,$fot(bigC(b,a,b))),bind(X_8,$fot(c))]]) ).

cnf(refute_0_15186,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | quotient(c,difference(bigC(b,a,b),c)) != bigC(b,a,b)
    | quotient(c,product(a,product(b,c))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(bigC(b,a,b),c)),bigC(b,a,b)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_15187,plain,
    ( quotient(c,difference(bigC(b,a,b),c)) != bigC(b,a,b)
    | quotient(c,product(a,product(b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_1775,refute_0_15186]) ).

cnf(refute_0_15188,plain,
    quotient(c,product(a,product(b,c))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(c,difference(bigC(b,a,b),c)),bigC(b,a,b)) )],[refute_0_15185,refute_0_15187]) ).

cnf(refute_0_15189,plain,
    quotient(c,product(c,product(a,b))) = quotient(c,product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(c,product(c,product(a,b))))]]) ).

cnf(refute_0_15190,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(c,product(c,product(a,b))) != quotient(c,product(c,product(a,b)))
    | quotient(c,product(c,product(a,b))) = quotient(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(a,b))),quotient(c,product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_15191,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(c,product(c,product(a,b))) = quotient(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,b))),quotient(c,product(c,product(a,b)))) )],[refute_0_15189,refute_0_15190]) ).

cnf(refute_0_15192,plain,
    quotient(c,product(c,product(a,b))) = quotient(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1833,refute_0_15191]) ).

cnf(refute_0_15193,plain,
    ( quotient(c,product(a,product(b,c))) != bigC(b,a,b)
    | quotient(c,product(c,product(a,b))) != quotient(c,product(a,product(b,c)))
    | quotient(c,product(c,product(a,b))) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(c,product(c,product(a,b))))),bind(Y,$fot(quotient(c,product(a,product(b,c))))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_15194,plain,
    ( quotient(c,product(a,product(b,c))) != bigC(b,a,b)
    | quotient(c,product(c,product(a,b))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,b))),quotient(c,product(a,product(b,c)))) )],[refute_0_15192,refute_0_15193]) ).

cnf(refute_0_15195,plain,
    quotient(c,product(c,product(a,b))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,product(b,c))),bigC(b,a,b)) )],[refute_0_15188,refute_0_15194]) ).

cnf(refute_0_15196,plain,
    ( quotient(c,product(c,product(a,b))) != bigC(b,a,b)
    | quotient(c,product(c,product(a,b))) != product(product(quotient(c,a),c),c)
    | bigC(b,a,b) = product(product(quotient(c,a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(a,b))),product(product(quotient(c,a),c),c)) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_15197,plain,
    ( quotient(c,product(c,product(a,b))) != product(product(quotient(c,a),c),c)
    | bigC(b,a,b) = product(product(quotient(c,a),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,b))),bigC(b,a,b)) )],[refute_0_15195,refute_0_15196]) ).

cnf(refute_0_15198,plain,
    product(quotient(A,X_67),product(X_66,X_67)) = product(product(quotient(A,X_67),X_66),product(quotient(A,X_67),X_67)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(quotient(A,X_67))),bind(X_25,$fot(X_66)),bind(X_26,$fot(X_67))]]) ).

cnf(refute_0_15199,plain,
    product(quotient(A,X_67),X_67) = A,
    inference(subst,[],[refute_0_52:[bind(B,$fot(X_67))]]) ).

cnf(refute_0_15200,plain,
    ( product(quotient(A,X_67),X_67) != A
    | product(quotient(A,X_67),product(X_66,X_67)) != product(product(quotient(A,X_67),X_66),product(quotient(A,X_67),X_67))
    | product(quotient(A,X_67),product(X_66,X_67)) = product(product(quotient(A,X_67),X_66),A) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(A,X_67),product(X_66,X_67)),product(product(quotient(A,X_67),X_66),product(quotient(A,X_67),X_67))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_15201,plain,
    ( product(quotient(A,X_67),product(X_66,X_67)) != product(product(quotient(A,X_67),X_66),product(quotient(A,X_67),X_67))
    | product(quotient(A,X_67),product(X_66,X_67)) = product(product(quotient(A,X_67),X_66),A) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_67),X_67),A) )],[refute_0_15199,refute_0_15200]) ).

cnf(refute_0_15202,plain,
    product(quotient(A,X_67),product(X_66,X_67)) = product(product(quotient(A,X_67),X_66),A),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_67),product(X_66,X_67)),product(product(quotient(A,X_67),X_66),product(quotient(A,X_67),X_67))) )],[refute_0_15198,refute_0_15201]) ).

cnf(refute_0_15203,plain,
    ( product(quotient(A,X_67),product(X_66,X_67)) != product(product(quotient(A,X_67),X_66),A)
    | product(product(quotient(A,X_67),X_66),A) = product(quotient(A,X_67),product(X_66,X_67)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(quotient(A,X_67),product(X_66,X_67)))),bind(Y,$fot(product(product(quotient(A,X_67),X_66),A)))]]) ).

cnf(refute_0_15204,plain,
    product(product(quotient(A,X_67),X_66),A) = product(quotient(A,X_67),product(X_66,X_67)),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_67),product(X_66,X_67)),product(product(quotient(A,X_67),X_66),A)) )],[refute_0_15202,refute_0_15203]) ).

cnf(refute_0_15205,plain,
    product(product(quotient(c,a),c),c) = product(quotient(c,a),product(c,a)),
    inference(subst,[],[refute_0_15204:[bind(A,$fot(c)),bind(X_66,$fot(c)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_15206,plain,
    ( bigC(b,a,b) != product(product(quotient(c,a),c),c)
    | product(product(quotient(c,a),c),c) != product(quotient(c,a),product(c,a))
    | bigC(b,a,b) = product(quotient(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,b),product(quotient(c,a),product(c,a))) ),[0],$fot(product(product(quotient(c,a),c),c))]]) ).

cnf(refute_0_15207,plain,
    ( bigC(b,a,b) != product(product(quotient(c,a),c),c)
    | bigC(b,a,b) = product(quotient(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),c),c),product(quotient(c,a),product(c,a))) )],[refute_0_15205,refute_0_15206]) ).

cnf(refute_0_15208,plain,
    ( quotient(c,product(c,product(a,b))) != product(product(quotient(c,a),c),c)
    | bigC(b,a,b) = product(quotient(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),product(product(quotient(c,a),c),c)) )],[refute_0_15197,refute_0_15207]) ).

cnf(refute_0_15209,plain,
    bigC(b,a,b) = product(quotient(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,b))),product(product(quotient(c,a),c),c)) )],[refute_0_15184,refute_0_15208]) ).

cnf(refute_0_15210,plain,
    product(c,product(quotient(b,c),X_26)) = product(product(c,quotient(b,c)),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(quotient(b,c)))]]) ).

cnf(refute_0_15211,plain,
    ( difference(b,product(c,b)) != product(c,quotient(b,c))
    | difference(b,product(c,b)) != quotient(c,a)
    | quotient(c,a) = product(c,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(c,b)),product(c,quotient(b,c))) ),[0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15212,plain,
    ( difference(b,product(c,b)) != product(c,quotient(b,c))
    | quotient(c,a) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_6323,refute_0_15211]) ).

cnf(refute_0_15213,plain,
    quotient(c,a) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),product(c,quotient(b,c))) )],[refute_0_4356,refute_0_15212]) ).

cnf(refute_0_15214,plain,
    ( quotient(c,a) != product(c,quotient(b,c))
    | product(c,quotient(b,c)) = quotient(c,a) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(quotient(c,a))),bind(Y,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_15215,plain,
    product(c,quotient(b,c)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(quotient(c,a),product(c,quotient(b,c))) )],[refute_0_15213,refute_0_15214]) ).

cnf(refute_0_15216,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(product(c,quotient(b,c)),product(c,X_26))
    | product(c,quotient(b,c)) != quotient(c,a)
    | product(c,product(quotient(b,c),X_26)) = product(quotient(c,a),product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(quotient(b,c),X_26)),product(product(c,quotient(b,c)),product(c,X_26))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15217,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(product(c,quotient(b,c)),product(c,X_26))
    | product(c,product(quotient(b,c),X_26)) = product(quotient(c,a),product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),quotient(c,a)) )],[refute_0_15215,refute_0_15216]) ).

cnf(refute_0_15218,plain,
    product(c,product(quotient(b,c),X_26)) = product(quotient(c,a),product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),X_26)),product(product(c,quotient(b,c)),product(c,X_26))) )],[refute_0_15210,refute_0_15217]) ).

cnf(refute_0_15219,plain,
    ( product(c,product(quotient(b,c),X_26)) != product(quotient(c,a),product(c,X_26))
    | product(quotient(c,a),product(c,X_26)) = product(c,product(quotient(b,c),X_26)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(quotient(b,c),X_26)))),bind(Y,$fot(product(quotient(c,a),product(c,X_26))))]]) ).

cnf(refute_0_15220,plain,
    product(quotient(c,a),product(c,X_26)) = product(c,product(quotient(b,c),X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),X_26)),product(quotient(c,a),product(c,X_26))) )],[refute_0_15218,refute_0_15219]) ).

cnf(refute_0_15221,plain,
    product(quotient(c,a),product(c,a)) = product(c,product(quotient(b,c),a)),
    inference(subst,[],[refute_0_15220:[bind(X_26,$fot(a))]]) ).

cnf(refute_0_15222,plain,
    ( bigC(b,a,b) != product(quotient(c,a),product(c,a))
    | product(quotient(c,a),product(c,a)) != product(c,product(quotient(b,c),a))
    | bigC(b,a,b) = product(c,product(quotient(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,b),product(c,product(quotient(b,c),a))) ),[0],$fot(product(quotient(c,a),product(c,a)))]]) ).

cnf(refute_0_15223,plain,
    ( bigC(b,a,b) != product(quotient(c,a),product(c,a))
    | bigC(b,a,b) = product(c,product(quotient(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(c,a)),product(c,product(quotient(b,c),a))) )],[refute_0_15221,refute_0_15222]) ).

cnf(refute_0_15224,plain,
    bigC(b,a,b) = product(c,product(quotient(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),product(quotient(c,a),product(c,a))) )],[refute_0_15209,refute_0_15223]) ).

cnf(refute_0_15225,plain,
    ( bigC(b,a,b) != product(c,product(quotient(b,c),a))
    | product(c,product(quotient(b,c),a)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(product(c,product(quotient(b,c),a))))]]) ).

cnf(refute_0_15226,plain,
    product(c,product(quotient(b,c),a)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),product(c,product(quotient(b,c),a))) )],[refute_0_15224,refute_0_15225]) ).

cnf(refute_0_15227,plain,
    product(product(a,b),product(b,a)) = product(c,product(quotient(b,c),a)),
    inference(subst,[],[refute_0_4403:[bind(X_26,$fot(a))]]) ).

cnf(refute_0_15228,plain,
    ( product(c,product(quotient(b,c),a)) != bigC(b,a,b)
    | product(product(a,b),product(b,a)) != product(c,product(quotient(b,c),a))
    | product(product(a,b),product(b,a)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(b,a)))),bind(Y,$fot(product(c,product(quotient(b,c),a)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_15229,plain,
    ( product(c,product(quotient(b,c),a)) != bigC(b,a,b)
    | product(product(a,b),product(b,a)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,a)),product(c,product(quotient(b,c),a))) )],[refute_0_15227,refute_0_15228]) ).

cnf(refute_0_15230,plain,
    product(product(a,b),product(b,a)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(b,c),a)),bigC(b,a,b)) )],[refute_0_15226,refute_0_15229]) ).

cnf(refute_0_15231,plain,
    ( difference(product(b,a),bigC(a,b,product(b,a))) != product(product(a,b),product(b,a))
    | product(product(a,b),product(b,a)) != bigC(b,a,b)
    | difference(product(b,a),bigC(a,b,product(b,a))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),bigC(a,b,product(b,a))),bigC(b,a,b)) ),[0],$fot(product(product(a,b),product(b,a)))]]) ).

cnf(refute_0_15232,plain,
    ( difference(product(b,a),bigC(a,b,product(b,a))) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,b,product(b,a))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,a)),bigC(b,a,b)) )],[refute_0_15230,refute_0_15231]) ).

cnf(refute_0_15233,plain,
    ( difference(product(b,a),bigC(a,product(b,a),b)) != product(product(a,b),product(b,a))
    | difference(product(b,a),bigC(a,b,product(b,a))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,b,product(b,a))),product(product(a,b),product(b,a))) )],[refute_0_15173,refute_0_15232]) ).

cnf(refute_0_15234,plain,
    difference(product(b,a),bigC(a,b,product(b,a))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,product(b,a),b)),product(product(a,b),product(b,a))) )],[refute_0_15167,refute_0_15233]) ).

cnf(refute_0_15235,plain,
    ( difference(product(b,a),bigC(a,b,product(b,a))) != bigC(b,a,b)
    | product(product(b,a),difference(product(b,a),bigC(a,b,product(b,a)))) != bigC(a,b,product(b,a))
    | product(product(b,a),bigC(b,a,b)) = bigC(a,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(product(b,a),bigC(a,b,product(b,a)))),bigC(a,b,product(b,a))) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_15236,plain,
    ( product(product(b,a),difference(product(b,a),bigC(a,b,product(b,a)))) != bigC(a,b,product(b,a))
    | product(product(b,a),bigC(b,a,b)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(a,b,product(b,a))),bigC(b,a,b)) )],[refute_0_15234,refute_0_15235]) ).

cnf(refute_0_15237,plain,
    product(product(b,a),bigC(b,a,b)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(b,a),bigC(a,b,product(b,a)))),bigC(a,b,product(b,a))) )],[refute_0_15048,refute_0_15236]) ).

cnf(refute_0_15238,plain,
    ( product(product(b,a),bigC(b,a,b)) != bigC(a,b,product(b,a))
    | product(product(b,a),bigC(b,a,b)) != bigC(b,a,product(b,a))
    | bigC(b,a,product(b,a)) = bigC(a,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),bigC(b,a,b)),bigC(a,b,product(b,a))) ),[0],$fot(bigC(b,a,product(b,a)))]]) ).

cnf(refute_0_15239,plain,
    ( product(product(b,a),bigC(b,a,b)) != bigC(a,b,product(b,a))
    | bigC(b,a,product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(b,a,b)),bigC(b,a,product(b,a))) )],[refute_0_13657,refute_0_15238]) ).

cnf(refute_0_15240,plain,
    bigC(b,a,product(b,a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(b,a,b)),bigC(a,b,product(b,a))) )],[refute_0_15237,refute_0_15239]) ).

cnf(refute_0_15241,plain,
    product(a,bigC(b,a,product(b,a))) = product(a,bigC(b,a,product(b,a))),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,a,product(b,a))))]]) ).

cnf(refute_0_15242,plain,
    ( bigC(b,a,product(b,a)) != bigC(a,b,product(b,a))
    | product(a,bigC(b,a,product(b,a))) != product(a,bigC(b,a,product(b,a)))
    | product(a,bigC(b,a,product(b,a))) = product(a,bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,a,product(b,a))),product(a,bigC(b,a,product(b,a)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_15243,plain,
    ( bigC(b,a,product(b,a)) != bigC(a,b,product(b,a))
    | product(a,bigC(b,a,product(b,a))) = product(a,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,product(b,a))),product(a,bigC(b,a,product(b,a)))) )],[refute_0_15241,refute_0_15242]) ).

cnf(refute_0_15244,plain,
    product(a,bigC(b,a,product(b,a))) = product(a,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_15240,refute_0_15243]) ).

cnf(refute_0_15245,plain,
    product(product(a,bigC(b,a,product(b,a))),c) = product(product(a,bigC(b,a,product(b,a))),c),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,a,product(b,a))),c))]]) ).

cnf(refute_0_15246,plain,
    ( product(a,bigC(b,a,product(b,a))) != product(a,bigC(a,b,product(b,a)))
    | product(product(a,bigC(b,a,product(b,a))),c) != product(product(a,bigC(b,a,product(b,a))),c)
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(a,bigC(a,b,product(b,a))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(product(a,bigC(b,a,product(b,a))),c)) ),[1,0],$fot(product(a,bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_15247,plain,
    ( product(a,bigC(b,a,product(b,a))) != product(a,bigC(a,b,product(b,a)))
    | product(product(a,bigC(b,a,product(b,a))),c) = product(product(a,bigC(a,b,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(product(a,bigC(b,a,product(b,a))),c)) )],[refute_0_15245,refute_0_15246]) ).

cnf(refute_0_15248,plain,
    product(product(a,bigC(b,a,product(b,a))),c) = product(product(a,bigC(a,b,product(b,a))),c),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,product(b,a))),product(a,bigC(a,b,product(b,a)))) )],[refute_0_15244,refute_0_15247]) ).

cnf(refute_0_15249,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(a,bigC(b,a,product(b,a))),c) != product(product(a,bigC(a,b,product(b,a))),c)
    | product(product(a,bigC(a,b,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(c,product(a,product(b,bigC(b,b,c))))) ),[0],$fot(product(product(a,bigC(a,b,product(b,a))),c))]]) ).

cnf(refute_0_15250,plain,
    ( product(product(a,bigC(b,a,product(b,a))),c) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(a,bigC(a,b,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(product(a,bigC(a,b,product(b,a))),c)) )],[refute_0_15248,refute_0_15249]) ).

cnf(refute_0_15251,plain,
    product(product(a,bigC(a,b,product(b,a))),c) = product(c,product(a,product(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,product(b,a))),c),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_15047,refute_0_15250]) ).

cnf(refute_0_15252,plain,
    ( product(product(a,bigC(a,b,product(b,a))),c) != product(c,product(a,product(b,bigC(b,b,c))))
    | product(product(product(product(a,bigC(a,b,product(b,a))),c),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != c
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,bigC(a,b,product(b,a))),c),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),c) ),[0,0,0],$fot(product(c,product(a,product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_15253,plain,
    ( product(product(product(product(a,bigC(a,b,product(b,a))),c),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != c
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,product(b,a))),c),product(c,product(a,product(b,bigC(b,b,c))))) )],[refute_0_15251,refute_0_15252]) ).

cnf(refute_0_15254,plain,
    product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(a,bigC(a,b,product(b,a))),c),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),c) )],[refute_0_45,refute_0_15253]) ).

cnf(refute_0_15255,plain,
    difference(product(a,c),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(a,c))),bind(B,$fot(product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15256,plain,
    product(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(c,bigC(a,b,product(b,a)))) = product(c,product(c,b)),
    inference(subst,[],[refute_0_52:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15257,plain,
    quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(a)),bind(X_16,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_15258,plain,
    ( product(product(c,product(c,b)),a) != product(c,bigC(a,a,c))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) ),[0,1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_15259,plain,
    ( quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),a),product(c,bigC(a,a,c))) )],[refute_0_2453,refute_0_15258]) ).

cnf(refute_0_15260,plain,
    quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(product(c,product(c,b)),a))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_15257,refute_0_15259]) ).

cnf(refute_0_15261,plain,
    ( bigC(product(c,a),c,bigC(b,b,c)) != product(c,bigC(a,b,product(b,a)))
    | product(product(c,product(c,b)),product(c,bigC(a,a,c))) != bigC(product(c,a),c,bigC(b,b,c))
    | product(product(c,product(c,b)),product(c,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,b)),product(c,bigC(a,a,c))))),bind(Y,$fot(bigC(product(c,a),c,bigC(b,b,c)))),bind(Z,$fot(product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15262,plain,
    ( bigC(product(c,a),c,bigC(b,b,c)) != product(c,bigC(a,b,product(b,a)))
    | product(product(c,product(c,b)),product(c,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,bigC(a,a,c))),bigC(product(c,a),c,bigC(b,b,c))) )],[refute_0_3848,refute_0_15261]) ).

cnf(refute_0_15263,plain,
    product(product(c,product(c,b)),product(c,bigC(a,a,c))) = product(c,bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,bigC(b,b,c)),product(c,bigC(a,b,product(b,a)))) )],[refute_0_3854,refute_0_15262]) ).

cnf(refute_0_15264,plain,
    quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_15265,plain,
    ( product(product(c,product(c,b)),product(c,bigC(a,a,c))) != product(c,bigC(a,b,product(b,a)))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) ),[1,1],$fot(product(c,bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_15266,plain,
    ( product(product(c,product(c,b)),product(c,bigC(a,a,c))) != product(c,bigC(a,b,product(b,a)))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c))))) )],[refute_0_15264,refute_0_15265]) ).

cnf(refute_0_15267,plain,
    quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) = quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,bigC(a,a,c))),product(c,bigC(a,b,product(b,a)))) )],[refute_0_15263,refute_0_15266]) ).

cnf(refute_0_15268,plain,
    ( quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a))))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) ),[0],$fot(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15269,plain,
    ( quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(product(a,product(c,product(c,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a))))) )],[refute_0_15267,refute_0_15268]) ).

cnf(refute_0_15270,plain,
    bigC(product(a,b),product(a,b),product(product(a,b),difference(b,c))) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(difference(b,c))),bind(X_35,$fot(product(a,b)))]]) ).

cnf(refute_0_15271,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),difference(b,c))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(product(a,b),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),difference(b,c))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) ),[0,2],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15272,plain,
    ( bigC(product(a,b),product(a,b),product(product(a,b),difference(b,c))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(a,product(c,b))) )],[refute_0_6025,refute_0_15271]) ).

cnf(refute_0_15273,plain,
    bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(product(a,b),difference(b,c))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) )],[refute_0_15270,refute_0_15272]) ).

cnf(refute_0_15274,plain,
    bigC(b,b,product(c,b)) = product(bigC(b,b,c),b),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(b)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_15275,plain,
    product(a,bigC(b,b,product(c,b))) = product(a,bigC(b,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,b,product(c,b))))]]) ).

cnf(refute_0_15276,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(a,bigC(b,b,product(c,b))) != product(a,bigC(b,b,product(c,b)))
    | product(a,bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,b,product(c,b))),product(a,bigC(b,b,product(c,b)))) ),[1,1],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_15277,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(a,bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,b))),product(a,bigC(b,b,product(c,b)))) )],[refute_0_15275,refute_0_15276]) ).

cnf(refute_0_15278,plain,
    product(a,bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,b)),product(bigC(b,b,c),b)) )],[refute_0_15274,refute_0_15277]) ).

cnf(refute_0_15279,plain,
    product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(bigC(a,a,a),bigC(b,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),bigC(b,b,product(c,b))))]]) ).

cnf(refute_0_15280,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) != product(bigC(a,a,a),bigC(b,b,product(c,b)))
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,bigC(b,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),bigC(b,b,product(c,b))),product(bigC(a,a,a),bigC(b,b,product(c,b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_15281,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,bigC(b,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(b,b,product(c,b))),product(bigC(a,a,a),bigC(b,b,product(c,b)))) )],[refute_0_15279,refute_0_15280]) ).

cnf(refute_0_15282,plain,
    product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,bigC(b,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_330,refute_0_15281]) ).

cnf(refute_0_15283,plain,
    ( product(a,bigC(b,b,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) != product(a,bigC(b,b,product(c,b)))
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,a),bigC(b,b,product(c,b))))),bind(Y,$fot(product(a,bigC(b,b,product(c,b))))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15284,plain,
    ( product(a,bigC(b,b,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(b,b,product(c,b))),product(a,bigC(b,b,product(c,b)))) )],[refute_0_15282,refute_0_15283]) ).

cnf(refute_0_15285,plain,
    product(bigC(a,a,a),bigC(b,b,product(c,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15278,refute_0_15284]) ).

cnf(refute_0_15286,plain,
    product(product(a,product(a,product(c,b))),bigC(b,b,a)) = product(bigC(a,a,a),bigC(b,b,product(c,b))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_15287,plain,
    bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(product(a,product(a,product(c,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(a,product(c,b)))),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_15288,plain,
    ( bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(product(a,product(a,product(c,b))),bigC(b,b,a))
    | product(product(a,product(a,product(c,b))),bigC(b,b,a)) != product(bigC(a,a,a),bigC(b,b,product(c,b)))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(bigC(a,a,a),bigC(b,b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(a,product(c,b))))),bind(Y,$fot(product(product(a,product(a,product(c,b))),bigC(b,b,a)))),bind(Z,$fot(product(bigC(a,a,a),bigC(b,b,product(c,b)))))]]) ).

cnf(refute_0_15289,plain,
    ( product(product(a,product(a,product(c,b))),bigC(b,b,a)) != product(bigC(a,a,a),bigC(b,b,product(c,b)))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(bigC(a,a,a),bigC(b,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,product(c,b))),product(product(a,product(a,product(c,b))),bigC(b,b,a))) )],[refute_0_15287,refute_0_15288]) ).

cnf(refute_0_15290,plain,
    bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(bigC(a,a,a),bigC(b,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(c,b))),bigC(b,b,a)),product(bigC(a,a,a),bigC(b,b,product(c,b)))) )],[refute_0_15286,refute_0_15289]) ).

cnf(refute_0_15291,plain,
    ( bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(bigC(a,a,a),bigC(b,b,product(c,b)))
    | product(bigC(a,a,a),bigC(b,b,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,a,a),bigC(b,b,product(c,b))))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15292,plain,
    ( product(bigC(a,a,a),bigC(b,b,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,product(c,b))),product(bigC(a,a,a),bigC(b,b,product(c,b)))) )],[refute_0_15290,refute_0_15291]) ).

cnf(refute_0_15293,plain,
    bigC(product(a,b),product(a,b),product(a,product(c,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(b,b,product(c,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15285,refute_0_15292]) ).

cnf(refute_0_15294,plain,
    ( bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(a,product(bigC(b,b,c),b)) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,product(c,b))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) ),[0],$fot(product(a,product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_15295,plain,
    ( bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(a,product(bigC(b,b,c),b)) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,product(c,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15293,refute_0_15294]) ).

cnf(refute_0_15296,plain,
    product(product(a,bigC(a,a,b)),product(c,b)) = product(product(a,c),product(bigC(a,a,b),b)),
    inference(subst,[],[refute_0_741:[bind(B,$fot(bigC(a,a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_15297,plain,
    product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) = product(product(a,bigC(a,a,b)),product(c,b)),
    inference(subst,[],[refute_0_5983:[bind(B,$fot(product(c,b))),bind(X_23,$fot(a)),bind(X_24,$fot(bigC(a,a,b))),bind(X_25,$fot(b))]]) ).

cnf(refute_0_15298,plain,
    ( product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) != product(product(a,bigC(a,a,b)),product(c,b))
    | product(product(a,bigC(a,a,b)),product(c,b)) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))))),bind(Y,$fot(product(product(a,bigC(a,a,b)),product(c,b)))),bind(Z,$fot(product(product(a,c),product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_15299,plain,
    ( product(product(a,bigC(a,a,b)),product(c,b)) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))),product(product(a,bigC(a,a,b)),product(c,b))) )],[refute_0_15297,refute_0_15298]) ).

cnf(refute_0_15300,plain,
    product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) = product(product(a,c),product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(c,b)),product(product(a,c),product(bigC(a,a,b),b))) )],[refute_0_15296,refute_0_15299]) ).

cnf(refute_0_15301,plain,
    product(bigC(a,a,b),product(difference(b,c),b)) = product(bigC(a,a,b),product(difference(b,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(difference(b,c),b)))]]) ).

cnf(refute_0_15302,plain,
    ( product(bigC(a,a,b),product(difference(b,c),b)) != product(bigC(a,a,b),product(difference(b,c),b))
    | product(difference(b,c),b) != difference(b,product(c,b))
    | product(bigC(a,a,b),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(b,c),b)),product(bigC(a,a,b),product(difference(b,c),b))) ),[1,1],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_15303,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(bigC(a,a,b),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(b,c),b)),product(bigC(a,a,b),product(difference(b,c),b))) )],[refute_0_15301,refute_0_15302]) ).

cnf(refute_0_15304,plain,
    product(bigC(a,a,b),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),difference(b,product(c,b))) )],[refute_0_4217,refute_0_15303]) ).

cnf(refute_0_15305,plain,
    product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,b,a),product(difference(b,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(difference(b,c),b)))]]) ).

cnf(refute_0_15306,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(difference(b,c),b)) != product(bigC(a,b,a),product(difference(b,c),b))
    | product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),product(difference(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(difference(b,c),b)),product(bigC(a,b,a),product(difference(b,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15307,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),product(difference(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(b,c),b)),product(bigC(a,b,a),product(difference(b,c),b))) )],[refute_0_15305,refute_0_15306]) ).

cnf(refute_0_15308,plain,
    product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),product(difference(b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_1877,refute_0_15307]) ).

cnf(refute_0_15309,plain,
    ( product(bigC(a,a,b),product(difference(b,c),b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | product(bigC(a,b,a),product(difference(b,c),b)) != product(bigC(a,a,b),product(difference(b,c),b))
    | product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,b,a),product(difference(b,c),b)))),bind(Y,$fot(product(bigC(a,a,b),product(difference(b,c),b)))),bind(Z,$fot(product(bigC(a,a,b),difference(b,product(c,b)))))]]) ).

cnf(refute_0_15310,plain,
    ( product(bigC(a,a,b),product(difference(b,c),b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(b,c),b)),product(bigC(a,a,b),product(difference(b,c),b))) )],[refute_0_15308,refute_0_15309]) ).

cnf(refute_0_15311,plain,
    product(bigC(a,b,a),product(difference(b,c),b)) = product(bigC(a,a,b),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(b,c),b)),product(bigC(a,a,b),difference(b,product(c,b)))) )],[refute_0_15304,refute_0_15310]) ).

cnf(refute_0_15312,plain,
    bigC(product(a,b),difference(b,c),product(a,b)) = product(bigC(a,b,a),product(difference(b,c),b)),
    inference(subst,[],[refute_0_152:[bind(X_18,$fot(difference(b,c))),bind(X_25,$fot(a)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_15313,plain,
    ( bigC(product(a,b),difference(b,c),product(a,b)) != product(bigC(a,b,a),product(difference(b,c),b))
    | product(bigC(a,b,a),product(difference(b,c),b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | bigC(product(a,b),difference(b,c),product(a,b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),difference(b,c),product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(difference(b,c),b)))),bind(Z,$fot(product(bigC(a,a,b),difference(b,product(c,b)))))]]) ).

cnf(refute_0_15314,plain,
    ( product(bigC(a,b,a),product(difference(b,c),b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | bigC(product(a,b),difference(b,c),product(a,b)) = product(bigC(a,a,b),difference(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(b,c),product(a,b)),product(bigC(a,b,a),product(difference(b,c),b))) )],[refute_0_15312,refute_0_15313]) ).

cnf(refute_0_15315,plain,
    bigC(product(a,b),difference(b,c),product(a,b)) = product(bigC(a,a,b),difference(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(b,c),b)),product(bigC(a,a,b),difference(b,product(c,b)))) )],[refute_0_15311,refute_0_15314]) ).

cnf(refute_0_15316,plain,
    product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))))]]) ).

cnf(refute_0_15317,plain,
    ( bigC(product(a,b),difference(b,c),product(a,b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) ),[1,1],$fot(product(bigC(a,a,b),difference(b,product(c,b))))]]) ).

cnf(refute_0_15318,plain,
    ( bigC(product(a,b),difference(b,c),product(a,b)) != product(bigC(a,a,b),difference(b,product(c,b)))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) )],[refute_0_15316,refute_0_15317]) ).

cnf(refute_0_15319,plain,
    product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(b,c),product(a,b)),product(bigC(a,a,b),difference(b,product(c,b)))) )],[refute_0_15315,refute_0_15318]) ).

cnf(refute_0_15320,plain,
    ( product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) != product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b))))
    | product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))))),bind(Y,$fot(product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))))),bind(Z,$fot(product(product(a,c),product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_15321,plain,
    ( product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b))))) )],[refute_0_15319,refute_0_15320]) ).

cnf(refute_0_15322,plain,
    product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) = product(product(a,c),product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(a,a,b),difference(b,product(c,b)))),product(product(a,c),product(bigC(a,a,b),b))) )],[refute_0_15300,refute_0_15321]) ).

cnf(refute_0_15323,plain,
    ( product(a,product(bigC(b,b,c),b)) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))) != product(product(a,c),product(bigC(a,a,b),b))
    | product(a,product(bigC(b,b,c),b)) = product(product(a,c),product(bigC(a,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(bigC(b,b,c),b)),product(product(a,c),product(bigC(a,a,b),b))) ),[0],$fot(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))))]]) ).

cnf(refute_0_15324,plain,
    ( product(a,product(bigC(b,b,c),b)) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(a,product(bigC(b,b,c),b)) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b))),product(product(a,c),product(bigC(a,a,b),b))) )],[refute_0_15322,refute_0_15323]) ).

cnf(refute_0_15325,plain,
    ( bigC(product(a,b),product(a,b),product(a,product(c,b))) != product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))
    | product(a,product(bigC(b,b,c),b)) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(b,b,c),b)),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) )],[refute_0_15295,refute_0_15324]) ).

cnf(refute_0_15326,plain,
    product(a,product(bigC(b,b,c),b)) = product(product(a,c),product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,product(c,b))),product(product(a,b),bigC(product(a,b),difference(b,c),product(a,b)))) )],[refute_0_15273,refute_0_15325]) ).

cnf(refute_0_15327,plain,
    ( product(a,product(bigC(b,b,c),b)) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,c),product(bigC(a,a,b),b)) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(a,product(bigC(b,b,c),b)))),bind(Y,$fot(product(product(a,c),product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_15328,plain,
    product(product(a,c),product(bigC(a,a,b),b)) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(b,b,c),b)),product(product(a,c),product(bigC(a,a,b),b))) )],[refute_0_15326,refute_0_15327]) ).

cnf(refute_0_15329,plain,
    product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(product(a,c),product(product(a,b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_15330,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) != product(product(a,c),product(product(a,b),bigC(b,a,b)))
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(a,b),bigC(b,a,b))),product(product(a,c),product(product(a,b),bigC(b,a,b)))) ),[1,1],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_15331,plain,
    ( product(product(a,b),bigC(b,a,b)) != product(bigC(a,a,b),b)
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(product(a,c),product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),bigC(b,a,b))),product(product(a,c),product(product(a,b),bigC(b,a,b)))) )],[refute_0_15329,refute_0_15330]) ).

cnf(refute_0_15332,plain,
    product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(product(a,c),product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,b)),product(bigC(a,a,b),b)) )],[refute_0_7528,refute_0_15331]) ).

cnf(refute_0_15333,plain,
    ( product(product(a,c),product(bigC(a,a,b),b)) != product(a,product(bigC(b,b,c),b))
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) != product(product(a,c),product(bigC(a,a,b),b))
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,c),product(product(a,b),bigC(b,a,b))))),bind(Y,$fot(product(product(a,c),product(bigC(a,a,b),b)))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15334,plain,
    ( product(product(a,c),product(bigC(a,a,b),b)) != product(a,product(bigC(b,b,c),b))
    | product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),bigC(b,a,b))),product(product(a,c),product(bigC(a,a,b),b))) )],[refute_0_15332,refute_0_15333]) ).

cnf(refute_0_15335,plain,
    product(product(a,c),product(product(a,b),bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(a,a,b),b)),product(a,product(bigC(b,b,c),b))) )],[refute_0_15328,refute_0_15334]) ).

cnf(refute_0_15336,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a)))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,bigC(c,a,b)))),bind(D,$fot(bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_15337,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))))
    | product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))) != product(product(c,bigC(c,a,b)),bigC(b,a,b))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))))) ),[1,1],$fot(product(product(c,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_15338,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))),product(product(c,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_10133,refute_0_15337]) ).

cnf(refute_0_15339,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,product(a,b),product(b,a))))) )],[refute_0_15336,refute_0_15338]) ).

cnf(refute_0_15340,plain,
    product(C,bigC(b,product(a,b),product(b,a))) = product(C,bigC(b,product(a,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(C,bigC(b,product(a,b),product(b,a))))]]) ).

cnf(refute_0_15341,plain,
    ( bigC(b,product(a,b),product(b,a)) != bigC(b,a,b)
    | product(C,bigC(b,product(a,b),product(b,a))) != product(C,bigC(b,product(a,b),product(b,a)))
    | product(C,bigC(b,product(a,b),product(b,a))) = product(C,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(b,product(a,b),product(b,a))),product(C,bigC(b,product(a,b),product(b,a)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_15342,plain,
    ( bigC(b,product(a,b),product(b,a)) != bigC(b,a,b)
    | product(C,bigC(b,product(a,b),product(b,a))) = product(C,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,product(a,b),product(b,a))),product(C,bigC(b,product(a,b),product(b,a)))) )],[refute_0_15340,refute_0_15341]) ).

cnf(refute_0_15343,plain,
    product(C,bigC(b,product(a,b),product(b,a))) = product(C,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(b,a)),bigC(b,a,b)) )],[refute_0_10146,refute_0_15342]) ).

cnf(refute_0_15344,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))))]]) ).

cnf(refute_0_15345,plain,
    ( product(C,bigC(b,product(a,b),product(b,a))) != product(C,bigC(b,a,b))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a))))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a))))) ),[1,1],$fot(product(C,bigC(b,a,b)))]]) ).

cnf(refute_0_15346,plain,
    ( product(C,bigC(b,product(a,b),product(b,a))) != product(C,bigC(b,a,b))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a))))) )],[refute_0_15344,refute_0_15345]) ).

cnf(refute_0_15347,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) = product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,product(a,b),product(b,a))),product(C,bigC(b,a,b))) )],[refute_0_15343,refute_0_15346]) ).

cnf(refute_0_15348,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b)))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) ),[0],$fot(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))))]]) ).

cnf(refute_0_15349,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b)))) )],[refute_0_15347,refute_0_15348]) ).

cnf(refute_0_15350,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,product(a,b),product(b,a)))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) )],[refute_0_15339,refute_0_15349]) ).

cnf(refute_0_15351,plain,
    product(A,product(c,bigC(c,a,b))) = product(A,product(c,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(A,product(c,bigC(c,a,b))))]]) ).

cnf(refute_0_15352,plain,
    ( product(A,product(c,bigC(c,a,b))) != product(A,product(c,bigC(c,a,b)))
    | product(c,bigC(c,a,b)) != c
    | product(A,product(c,bigC(c,a,b))) = product(A,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,product(c,bigC(c,a,b))),product(A,product(c,bigC(c,a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15353,plain,
    ( product(c,bigC(c,a,b)) != c
    | product(A,product(c,bigC(c,a,b))) = product(A,c) ),
    inference(resolve,[$cnf( $equal(product(A,product(c,bigC(c,a,b))),product(A,product(c,bigC(c,a,b)))) )],[refute_0_15351,refute_0_15352]) ).

cnf(refute_0_15354,plain,
    product(A,product(c,bigC(c,a,b))) = product(A,c),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,b)),c) )],[refute_0_913,refute_0_15353]) ).

cnf(refute_0_15355,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))))]]) ).

cnf(refute_0_15356,plain,
    ( product(A,product(c,bigC(c,a,b))) != product(A,c)
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) != product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b)))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,c),product(C,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b)))) ),[1,0],$fot(product(A,c))]]) ).

cnf(refute_0_15357,plain,
    ( product(A,product(c,bigC(c,a,b))) != product(A,c)
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,c),product(C,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b)))) )],[refute_0_15355,refute_0_15356]) ).

cnf(refute_0_15358,plain,
    product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) = product(product(A,c),product(C,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(A,product(c,bigC(c,a,b))),product(A,c)) )],[refute_0_15354,refute_0_15357]) ).

cnf(refute_0_15359,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) != product(product(A,c),product(C,bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) ),[0],$fot(product(product(A,c),product(C,bigC(b,a,b))))]]) ).

cnf(refute_0_15360,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),product(product(A,c),product(C,bigC(b,a,b)))) )],[refute_0_15358,refute_0_15359]) ).

cnf(refute_0_15361,plain,
    product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_15362,plain,
    ( product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),c,c)
    | product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) ),[1,1],$fot(bigC(product(c,b),c,c))]]) ).

cnf(refute_0_15363,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,a,b)) != bigC(product(c,b),c,c)
    | product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) )],[refute_0_15361,refute_0_15362]) ).

cnf(refute_0_15364,plain,
    product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,a,b)),bigC(product(c,b),c,c)) )],[refute_0_10179,refute_0_15363]) ).

cnf(refute_0_15365,plain,
    ( product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))) != product(product(A,C),bigC(product(c,b),c,c))
    | product(product(A,c),product(C,bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) ),[1],$fot(product(product(A,C),bigC(product(c,b),c,c)))]]) ).

cnf(refute_0_15366,plain,
    ( product(product(A,c),product(C,bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b))),product(product(A,C),bigC(product(c,b),c,c))) )],[refute_0_15364,refute_0_15365]) ).

cnf(refute_0_15367,plain,
    ( product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))) != product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) )],[refute_0_15360,refute_0_15366]) ).

cnf(refute_0_15368,plain,
    product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),bigC(product(c,b),c,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,bigC(c,a,b))),product(C,bigC(b,a,b))),product(product(A,C),product(product(c,bigC(c,a,b)),bigC(b,a,b)))) )],[refute_0_15350,refute_0_15367]) ).

cnf(refute_0_15369,plain,
    product(product(A,C),bigC(product(c,b),c,c)) = product(product(A,C),bigC(product(c,b),c,c)),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(product(c,b),c,c)))]]) ).

cnf(refute_0_15370,plain,
    ( bigC(product(c,b),c,c) != product(c,bigC(b,a,b))
    | product(product(A,C),bigC(product(c,b),c,c)) != product(product(A,C),bigC(product(c,b),c,c))
    | product(product(A,C),bigC(product(c,b),c,c)) = product(product(A,C),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(product(c,b),c,c)),product(product(A,C),bigC(product(c,b),c,c))) ),[1,1],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_15371,plain,
    ( bigC(product(c,b),c,c) != product(c,bigC(b,a,b))
    | product(product(A,C),bigC(product(c,b),c,c)) = product(product(A,C),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(product(c,b),c,c)),product(product(A,C),bigC(product(c,b),c,c))) )],[refute_0_15369,refute_0_15370]) ).

cnf(refute_0_15372,plain,
    product(product(A,C),bigC(product(c,b),c,c)) = product(product(A,C),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,c),product(c,bigC(b,a,b))) )],[refute_0_10194,refute_0_15371]) ).

cnf(refute_0_15373,plain,
    ( product(product(A,C),bigC(product(c,b),c,c)) != product(product(A,C),product(c,bigC(b,a,b)))
    | product(product(A,c),product(C,bigC(b,a,b))) != product(product(A,C),bigC(product(c,b),c,c))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,bigC(b,a,b))),product(product(A,C),bigC(product(c,b),c,c))) ),[1],$fot(product(product(A,C),product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_15374,plain,
    ( product(product(A,c),product(C,bigC(b,a,b))) != product(product(A,C),bigC(product(c,b),c,c))
    | product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(product(c,b),c,c)),product(product(A,C),product(c,bigC(b,a,b)))) )],[refute_0_15372,refute_0_15373]) ).

cnf(refute_0_15375,plain,
    product(product(A,c),product(C,bigC(b,a,b))) = product(product(A,C),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,bigC(b,a,b))),product(product(A,C),bigC(product(c,b),c,c))) )],[refute_0_15368,refute_0_15374]) ).

cnf(refute_0_15376,plain,
    ( product(product(A,c),product(C,bigC(b,a,b))) != product(product(A,C),product(c,bigC(b,a,b)))
    | product(product(A,C),product(c,bigC(b,a,b))) = product(product(A,c),product(C,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(A,c),product(C,bigC(b,a,b))))),bind(Y,$fot(product(product(A,C),product(c,bigC(b,a,b)))))]]) ).

cnf(refute_0_15377,plain,
    product(product(A,C),product(c,bigC(b,a,b))) = product(product(A,c),product(C,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,bigC(b,a,b))),product(product(A,C),product(c,bigC(b,a,b)))) )],[refute_0_15375,refute_0_15376]) ).

cnf(refute_0_15378,plain,
    product(product(a,product(a,b)),product(c,bigC(b,a,b))) = product(product(a,c),product(product(a,b),bigC(b,a,b))),
    inference(subst,[],[refute_0_15377:[bind(A,$fot(a)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_15379,plain,
    ( product(product(a,c),product(product(a,b),bigC(b,a,b))) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(a,b)),product(c,bigC(b,a,b))) != product(product(a,c),product(product(a,b),bigC(b,a,b)))
    | product(product(a,product(a,b)),product(c,bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,b)),product(c,bigC(b,a,b))))),bind(Y,$fot(product(product(a,c),product(product(a,b),bigC(b,a,b))))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15380,plain,
    ( product(product(a,c),product(product(a,b),bigC(b,a,b))) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(a,b)),product(c,bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(c,bigC(b,a,b))),product(product(a,c),product(product(a,b),bigC(b,a,b)))) )],[refute_0_15378,refute_0_15379]) ).

cnf(refute_0_15381,plain,
    product(product(a,product(a,b)),product(c,bigC(b,a,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),bigC(b,a,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15335,refute_0_15380]) ).

cnf(refute_0_15382,plain,
    product(product(c,product(c,b)),c) = bigC(c,product(c,b),c),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(c)),bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_15383,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_32:[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_15384,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_15382,refute_0_15383]) ).

cnf(refute_0_15385,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_3196,refute_0_15384]) ).

cnf(refute_0_15386,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(c,product(c,b)),c) != product(c,bigC(c,b,c))
    | product(product(c,product(c,b)),c) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_32:[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(b,a,b))))]]) ).

cnf(refute_0_15387,plain,
    ( product(c,bigC(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),product(c,bigC(c,b,c))) )],[refute_0_15385,refute_0_15386]) ).

cnf(refute_0_15388,plain,
    product(product(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_2857,refute_0_15387]) ).

cnf(refute_0_15389,plain,
    product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(product(a,product(a,b)),product(product(c,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,b)),product(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_15390,plain,
    ( product(product(a,product(a,b)),product(product(c,product(c,b)),c)) != product(product(a,product(a,b)),product(product(c,product(c,b)),c))
    | product(product(c,product(c,b)),c) != product(c,bigC(b,a,b))
    | product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(product(a,product(a,b)),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,b)),product(product(c,product(c,b)),c)),product(product(a,product(a,b)),product(product(c,product(c,b)),c))) ),[1,1],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_15391,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(b,a,b))
    | product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(product(a,product(a,b)),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(product(c,product(c,b)),c)),product(product(a,product(a,b)),product(product(c,product(c,b)),c))) )],[refute_0_15389,refute_0_15390]) ).

cnf(refute_0_15392,plain,
    product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(product(a,product(a,b)),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_15388,refute_0_15391]) ).

cnf(refute_0_15393,plain,
    ( product(product(a,product(a,b)),product(c,bigC(b,a,b))) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(a,b)),product(product(c,product(c,b)),c)) != product(product(a,product(a,b)),product(c,bigC(b,a,b)))
    | product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(a,b)),product(product(c,product(c,b)),c)))),bind(Y,$fot(product(product(a,product(a,b)),product(c,bigC(b,a,b))))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15394,plain,
    ( product(product(a,product(a,b)),product(c,bigC(b,a,b))) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(product(c,product(c,b)),c)),product(product(a,product(a,b)),product(c,bigC(b,a,b)))) )],[refute_0_15392,refute_0_15393]) ).

cnf(refute_0_15395,plain,
    product(product(a,product(a,b)),product(product(c,product(c,b)),c)) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(c,bigC(b,a,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15381,refute_0_15394]) ).

cnf(refute_0_15396,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_16:[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_15397,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_4819,refute_0_15396]) ).

cnf(refute_0_15398,plain,
    product(product(a,product(c,product(c,b))),product(c,product(c,b))) = product(product(a,product(a,b)),product(product(c,product(c,b)),c)),
    inference(subst,[],[refute_0_15397:[bind(A,$fot(a)),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_15399,plain,
    ( product(product(a,product(a,b)),product(product(c,product(c,b)),c)) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(c,product(c,b))),product(c,product(c,b))) != product(product(a,product(a,b)),product(product(c,product(c,b)),c))
    | product(product(a,product(c,product(c,b))),product(c,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(c,product(c,b))),product(c,product(c,b))))),bind(Y,$fot(product(product(a,product(a,b)),product(product(c,product(c,b)),c)))),bind(Z,$fot(product(a,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15400,plain,
    ( product(product(a,product(a,b)),product(product(c,product(c,b)),c)) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(c,product(c,b))),product(c,product(c,b))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(product(a,product(a,b)),product(product(c,product(c,b)),c))) )],[refute_0_15398,refute_0_15399]) ).

cnf(refute_0_15401,plain,
    product(product(a,product(c,product(c,b))),product(c,product(c,b))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(product(c,product(c,b)),c)),product(a,product(bigC(b,b,c),b))) )],[refute_0_15395,refute_0_15400]) ).

cnf(refute_0_15402,plain,
    ( product(product(a,product(c,product(c,b))),product(c,product(c,b))) != product(a,product(bigC(b,b,c),b))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(a,product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) ),[1],$fot(product(a,product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_15403,plain,
    ( quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(c,b))),product(c,product(c,b))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15401,refute_0_15402]) ).

cnf(refute_0_15404,plain,
    ( quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))) != product(product(a,product(c,product(c,b))),product(c,product(c,b)))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(a,product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_15269,refute_0_15403]) ).

cnf(refute_0_15405,plain,
    quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) = product(a,product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(product(c,product(c,b)),product(c,bigC(a,a,c)))),product(product(a,product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_15260,refute_0_15404]) ).

cnf(refute_0_15406,plain,
    ( product(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(c,bigC(a,b,product(b,a)))) != product(c,product(c,b))
    | quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))) != product(a,product(bigC(b,b,c),b))
    | product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(c,bigC(a,b,product(b,a)))),product(c,product(c,b))) ),[0,0],$fot(product(a,product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_15407,plain,
    ( product(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(c,bigC(a,b,product(b,a)))) != product(c,product(c,b))
    | product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(a,product(bigC(b,b,c),b))) )],[refute_0_15405,refute_0_15406]) ).

cnf(refute_0_15408,plain,
    product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,product(c,b)),product(c,bigC(a,b,product(b,a)))),product(c,bigC(a,b,product(b,a)))),product(c,product(c,b))) )],[refute_0_15256,refute_0_15407]) ).

cnf(refute_0_15409,plain,
    product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) = product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),
    inference(subst,[],[refute_0_741:[bind(B,$fot(product(bigC(b,b,c),b))),bind(D,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_15410,plain,
    ( product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) != product(c,product(c,b))
    | product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) != product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))
    | product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))),product(c,product(c,b))) ),[0],$fot(product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15411,plain,
    ( product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))) != product(c,product(c,b))
    | product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) )],[refute_0_15409,refute_0_15410]) ).

cnf(refute_0_15412,plain,
    product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(b,b,c),b)),product(c,bigC(a,b,product(b,a)))),product(c,product(c,b))) )],[refute_0_15408,refute_0_15411]) ).

cnf(refute_0_15413,plain,
    ( difference(product(a,c),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))
    | product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) != product(c,product(c,b))
    | difference(product(a,c),product(c,product(c,b))) = product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_15414,plain,
    ( difference(product(a,c),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))
    | difference(product(a,c),product(c,product(c,b))) = product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),product(c,product(c,b))) )],[refute_0_15412,refute_0_15413]) ).

cnf(refute_0_15415,plain,
    difference(product(a,c),product(c,product(c,b))) = product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) )],[refute_0_15255,refute_0_15414]) ).

cnf(refute_0_15416,plain,
    ( difference(product(a,c),product(c,product(c,b))) != product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))
    | product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) = difference(product(a,c),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(difference(product(a,c),product(c,product(c,b))))),bind(Y,$fot(product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15417,plain,
    product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) = difference(product(a,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) )],[refute_0_15415,refute_0_15416]) ).

cnf(refute_0_15418,plain,
    product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15419,plain,
    ( product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) != difference(product(a,c),product(c,product(c,b)))
    | product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) != product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))
    | product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),[1,1],$fot(difference(product(a,c),product(c,product(c,b))))]]) ).

cnf(refute_0_15420,plain,
    ( product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))) != difference(product(a,c),product(c,product(c,b)))
    | product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) )],[refute_0_15418,refute_0_15419]) ).

cnf(refute_0_15421,plain,
    product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))),difference(product(a,c),product(c,product(c,b)))) )],[refute_0_15417,refute_0_15420]) ).

cnf(refute_0_15422,plain,
    product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_15423,plain,
    ( product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) ),[1,1],$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_15424,plain,
    ( product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15422,refute_0_15423]) ).

cnf(refute_0_15425,plain,
    product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15421,refute_0_15424]) ).

cnf(refute_0_15426,plain,
    product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_15427,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15428,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15426,refute_0_15427]) ).

cnf(refute_0_15429,plain,
    product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_15428]) ).

cnf(refute_0_15430,plain,
    ( product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))))),bind(Y,$fot(product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))))),bind(Z,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15431,plain,
    ( product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15429,refute_0_15430]) ).

cnf(refute_0_15432,plain,
    product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15425,refute_0_15431]) ).

cnf(refute_0_15433,plain,
    product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    inference(subst,[],[refute_0_434:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(bigC(b,b,c),b))),bind(D,$fot(bigC(a,b,product(b,a)))),bind(X_65,$fot(product(c,c)))]]) ).

cnf(refute_0_15434,plain,
    product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(bigC(difference(b,c),b,bigC(b,b,c))))]]) ).

cnf(refute_0_15435,plain,
    bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(product(c,product(difference(b,c),bigC(b,b,c))),c),
    inference(subst,[],[refute_0_50:[bind(X_17,$fot(c)),bind(X_18,$fot(product(difference(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_15436,plain,
    bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(product(a,b),product(a,b),c),product(a,b)),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(product(a,b))),bind(X_36,$fot(c))]]) ).

cnf(refute_0_15437,plain,
    ( bigC(product(a,b),product(a,b),c) != bigC(c,product(a,b),product(a,b))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(bigC(product(a,b),product(a,b),c),product(a,b))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(bigC(product(a,b),product(a,b),c),product(a,b))) ),[1,0],$fot(bigC(c,product(a,b),product(a,b)))]]) ).

cnf(refute_0_15438,plain,
    ( bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(bigC(product(a,b),product(a,b),c),product(a,b))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),c),bigC(c,product(a,b),product(a,b))) )],[refute_0_4652,refute_0_15437]) ).

cnf(refute_0_15439,plain,
    bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(bigC(product(a,b),product(a,b),c),product(a,b))) )],[refute_0_15436,refute_0_15438]) ).

cnf(refute_0_15440,plain,
    quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(bigC(a,a,c))),bind(X_16,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_15441,plain,
    ( product(bigC(a,a,c),product(product(c,a),b)) != product(a,bigC(b,c,c))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(c,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),bigC(a,a,c)))) = product(product(a,bigC(b,c,c)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b))) ),[1,0],$fot(product(a,bigC(b,c,c)))]]) ).

cnf(refute_0_15442,plain,
    ( quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(c,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),bigC(a,a,c)))) = product(product(a,bigC(b,c,c)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,a),b)),product(a,bigC(b,c,c))) )],[refute_0_13375,refute_0_15441]) ).

cnf(refute_0_15443,plain,
    quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(product(a,bigC(b,c,c)),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),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b))) )],[refute_0_15440,refute_0_15442]) ).

cnf(refute_0_15444,plain,
    product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) = product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)))]]) ).

cnf(refute_0_15445,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) != product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))
    | product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_15446,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15444,refute_0_15445]) ).

cnf(refute_0_15447,plain,
    product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_2290,refute_0_15446]) ).

cnf(refute_0_15448,plain,
    product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)) = product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),
    inference(subst,[],[refute_0_29:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(product(c,a))),bind(C,$fot(product(product(c,a),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_15449,plain,
    ( product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)) != product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(c,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),bigC(a,a,c)))) = product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))))),bind(Y,$fot(product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)))),bind(Z,$fot(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))))]]) ).

cnf(refute_0_15450,plain,
    ( product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)) != product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b))) )],[refute_0_15440,refute_0_15449]) ).

cnf(refute_0_15451,plain,
    quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(product(c,a),b)),product(product(c,a),b)),product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15448,refute_0_15450]) ).

cnf(refute_0_15452,plain,
    ( product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))))),bind(Y,$fot(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)))),bind(Z,$fot(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))))]]) ).

cnf(refute_0_15453,plain,
    ( product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15451,refute_0_15452]) ).

cnf(refute_0_15454,plain,
    quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15447,refute_0_15453]) ).

cnf(refute_0_15455,plain,
    ( quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(a,bigC(b,c,c)),product(product(c,a),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(product(a,bigC(b,c,c)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))),product(product(a,bigC(b,c,c)),product(product(c,a),b))) ),[0],$fot(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)))]]) ).

cnf(refute_0_15456,plain,
    ( quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(a,bigC(b,c,c)),product(product(c,a),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(product(a,bigC(b,c,c)),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),bigC(a,a,c)))),product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15454,refute_0_15455]) ).

cnf(refute_0_15457,plain,
    product(product(a,bigC(b,c,c)),product(product(c,a),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)),
    inference(subst,[],[refute_0_392:[bind(A,$fot(a)),bind(B,$fot(bigC(b,c,c))),bind(D,$fot(b)),bind(X_36,$fot(c))]]) ).

cnf(refute_0_15458,plain,
    ( product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(product(a,bigC(b,c,c)),product(product(c,a),b))
    | product(product(a,bigC(b,c,c)),product(product(c,a),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) ),[0],$fot(product(product(a,bigC(b,c,c)),product(product(c,a),b)))]]) ).

cnf(refute_0_15459,plain,
    ( product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(product(a,bigC(b,c,c)),product(product(c,a),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,c,c)),product(product(c,a),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) )],[refute_0_15457,refute_0_15458]) ).

cnf(refute_0_15460,plain,
    ( quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))) != product(product(a,bigC(b,c,c)),product(product(c,a),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(product(a,bigC(b,c,c)),product(product(c,a),b))) )],[refute_0_15456,refute_0_15459]) ).

cnf(refute_0_15461,plain,
    product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),bigC(a,a,c)))),product(product(a,bigC(b,c,c)),product(product(c,a),b))) )],[refute_0_15443,refute_0_15460]) ).

cnf(refute_0_15462,plain,
    product(product(product(c,a),b),b) = product(product(product(c,a),b),b),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),b))]]) ).

cnf(refute_0_15463,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),b) != product(product(product(c,a),b),b)
    | product(product(product(c,a),b),b) = product(product(c,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),b),product(product(product(c,a),b),b)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_15464,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),b) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),b),product(product(product(c,a),b),b)) )],[refute_0_15462,refute_0_15463]) ).

cnf(refute_0_15465,plain,
    product(product(product(c,a),b),b) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_760,refute_0_15464]) ).

cnf(refute_0_15466,plain,
    product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)))]]) ).

cnf(refute_0_15467,plain,
    ( product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))
    | product(product(product(c,a),b),b) != product(product(c,product(c,b)),b)
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))) ),[1,1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_15468,plain,
    ( product(product(product(c,a),b),b) != product(product(c,product(c,b)),b)
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_15466,refute_0_15467]) ).

cnf(refute_0_15469,plain,
    product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) = product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),b),product(product(c,product(c,b)),b)) )],[refute_0_15465,refute_0_15468]) ).

cnf(refute_0_15470,plain,
    ( product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) ),[0],$fot(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_15471,plain,
    ( product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b))) )],[refute_0_15469,refute_0_15470]) ).

cnf(refute_0_15472,plain,
    product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(product(c,a),b),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) )],[refute_0_15461,refute_0_15471]) ).

cnf(refute_0_15473,plain,
    product(bigC(b,c,c),b) = product(bigC(b,c,c),b),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,c),b))]]) ).

cnf(refute_0_15474,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),b) != product(bigC(b,c,c),b)
    | product(bigC(b,c,c),b) = product(bigC(b,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,c),b),product(bigC(b,c,c),b)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_15475,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,c,c),b) = product(bigC(b,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),b),product(bigC(b,c,c),b)) )],[refute_0_15473,refute_0_15474]) ).

cnf(refute_0_15476,plain,
    product(bigC(b,c,c),b) = product(bigC(b,a,b),b),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_2750,refute_0_15475]) ).

cnf(refute_0_15477,plain,
    product(bigC(a,a,c),product(bigC(b,c,c),b)) = product(bigC(a,a,c),product(bigC(b,c,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(bigC(b,c,c),b)))]]) ).

cnf(refute_0_15478,plain,
    ( product(bigC(a,a,c),product(bigC(b,c,c),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(b,c,c),b) != product(bigC(b,a,b),b)
    | product(bigC(a,a,c),product(bigC(b,c,c),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(bigC(b,c,c),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) ),[1,1],$fot(product(bigC(b,a,b),b))]]) ).

cnf(refute_0_15479,plain,
    ( product(bigC(b,c,c),b) != product(bigC(b,a,b),b)
    | product(bigC(a,a,c),product(bigC(b,c,c),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(b,c,c),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) )],[refute_0_15477,refute_0_15478]) ).

cnf(refute_0_15480,plain,
    product(bigC(a,a,c),product(bigC(b,c,c),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,c),b),product(bigC(b,a,b),b)) )],[refute_0_15476,refute_0_15479]) ).

cnf(refute_0_15481,plain,
    ( product(bigC(a,a,c),product(bigC(b,c,c),b)) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) ),[1],$fot(product(bigC(a,a,c),product(bigC(b,a,b),b)))]]) ).

cnf(refute_0_15482,plain,
    ( product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(bigC(a,a,c),product(bigC(b,c,c),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(b,c,c),b)),product(bigC(a,a,c),product(bigC(b,a,b),b))) )],[refute_0_15480,refute_0_15481]) ).

cnf(refute_0_15483,plain,
    product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(bigC(a,a,c),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(bigC(a,a,c),product(bigC(b,c,c),b))) )],[refute_0_15472,refute_0_15482]) ).

cnf(refute_0_15484,plain,
    product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_15485,plain,
    ( product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b)))
    | product(product(c,product(c,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,c),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b)))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_15486,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,c),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b)))) )],[refute_0_15484,refute_0_15485]) ).

cnf(refute_0_15487,plain,
    product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,c),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10209,refute_0_15486]) ).

cnf(refute_0_15488,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(product(a,bigC(b,a,bigC(c,a,b))))),bind(X_25,$fot(X_66)),bind(X_26,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_15489,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))) ),[1,1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_15490,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(product(c,a),a),b)) )],[refute_0_14821,refute_0_15489]) ).

cnf(refute_0_15491,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)))) )],[refute_0_15488,refute_0_15490]) ).

cnf(refute_0_15492,plain,
    bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)) = bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(product(c,a))),bind(C,$fot(bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_15493,plain,
    product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) = product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)))]]) ).

cnf(refute_0_15494,plain,
    ( bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)) != bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))
    | product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) != product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b))
    | product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)),product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b))) ),[1,0],$fot(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_15495,plain,
    ( bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)) != bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))
    | product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)),product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b))) )],[refute_0_15493,refute_0_15494]) ).

cnf(refute_0_15496,plain,
    product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),
    inference(resolve,[$cnf( $equal(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))) )],[refute_0_15492,refute_0_15495]) ).

cnf(refute_0_15497,plain,
    product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) = product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)),
    inference(subst,[],[refute_0_806:[bind(A,$fot(a)),bind(B,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(product(c,a))),bind(X_25,$fot(X_66)),bind(X_26,$fot(b))]]) ).

cnf(refute_0_15498,plain,
    ( product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) != product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b))
    | product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)))),bind(Y,$fot(product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)))),bind(Z,$fot(product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))))]]) ).

cnf(refute_0_15499,plain,
    ( product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)),product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b))) )],[refute_0_15497,refute_0_15498]) ).

cnf(refute_0_15500,plain,
    product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,bigC(b,a,bigC(c,a,b)),product(c,a)),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) )],[refute_0_15496,refute_0_15499]) ).

cnf(refute_0_15501,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b))
    | product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) ),[0],$fot(product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_15502,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b)),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) )],[refute_0_15500,refute_0_15501]) ).

cnf(refute_0_15503,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(product(a,bigC(b,a,bigC(c,a,b))),X_66),product(product(product(c,a),a),b))) )],[refute_0_15491,refute_0_15502]) ).

cnf(refute_0_15504,plain,
    product(a,bigC(b,a,bigC(c,a,b))) = product(a,bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_15505,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(a,bigC(b,a,bigC(c,a,b))) != product(a,bigC(b,a,bigC(c,a,b)))
    | product(a,bigC(b,a,bigC(c,a,b))) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,a,bigC(c,a,b))),product(a,bigC(b,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_15506,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(a,bigC(b,a,bigC(c,a,b))) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,bigC(c,a,b))),product(a,bigC(b,a,bigC(c,a,b)))) )],[refute_0_15504,refute_0_15505]) ).

cnf(refute_0_15507,plain,
    product(a,bigC(b,a,bigC(c,a,b))) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_15506]) ).

cnf(refute_0_15508,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))))]]) ).

cnf(refute_0_15509,plain,
    ( product(a,bigC(b,a,bigC(c,a,b))) != product(a,bigC(b,a,c))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b)))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b)))) ),[1,0],$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_15510,plain,
    ( product(a,bigC(b,a,bigC(c,a,b))) != product(a,bigC(b,a,c))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b)))) )],[refute_0_15508,refute_0_15509]) ).

cnf(refute_0_15511,plain,
    product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) = product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,bigC(c,a,b))),product(a,bigC(b,a,c))) )],[refute_0_15507,refute_0_15510]) ).

cnf(refute_0_15512,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b)))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) ),[0],$fot(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))))]]) ).

cnf(refute_0_15513,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b)))) )],[refute_0_15511,refute_0_15512]) ).

cnf(refute_0_15514,plain,
    bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) = bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_15515,plain,
    ( bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) != bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))
    | bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) = bigC(a,product(c,a),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))) ),[1,2],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_15516,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) = bigC(a,product(c,a),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),bigC(a,product(c,a),bigC(b,a,bigC(c,a,b)))) )],[refute_0_15514,refute_0_15515]) ).

cnf(refute_0_15517,plain,
    bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) = bigC(a,product(c,a),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_2520,refute_0_15516]) ).

cnf(refute_0_15518,plain,
    product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)))]]) ).

cnf(refute_0_15519,plain,
    ( bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) != bigC(a,product(c,a),bigC(b,a,c))
    | product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) ),[1,0],$fot(bigC(a,product(c,a),bigC(b,a,c)))]]) ).

cnf(refute_0_15520,plain,
    ( bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))) != bigC(a,product(c,a),bigC(b,a,c))
    | product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) )],[refute_0_15518,refute_0_15519]) ).

cnf(refute_0_15521,plain,
    product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),bigC(a,product(c,a),bigC(b,a,c))) )],[refute_0_15517,refute_0_15520]) ).

cnf(refute_0_15522,plain,
    ( product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) ),[1],$fot(product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)))]]) ).

cnf(refute_0_15523,plain,
    ( product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) )],[refute_0_15521,refute_0_15522]) ).

cnf(refute_0_15524,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) )],[refute_0_15513,refute_0_15523]) ).

cnf(refute_0_15525,plain,
    product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,bigC(c,a,b))),product(X_66,b))) )],[refute_0_15503,refute_0_15524]) ).

cnf(refute_0_15526,plain,
    quotient(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,bigC(a,b,bigC(c,a,b))))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_15527,plain,
    ( product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)) != product(difference(product(a,product(c,b)),product(a,b)),product(a,b))
    | quotient(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) ),[0,0],$fot(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_15528,plain,
    ( quotient(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),product(difference(product(a,product(c,b)),product(a,b)),product(a,b))) )],[refute_0_6952,refute_0_15527]) ).

cnf(refute_0_15529,plain,
    quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(a,b,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) )],[refute_0_15526,refute_0_15528]) ).

cnf(refute_0_15530,plain,
    quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_15531,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) != quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b))) ),[1,0],$fot(product(bigC(a,a,b),product(bigC(a,b,c),b)))]]) ).

cnf(refute_0_15532,plain,
    ( product(difference(product(a,product(c,b)),product(a,b)),product(a,b)) != product(bigC(a,a,b),product(bigC(a,b,c),b))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b))) )],[refute_0_15530,refute_0_15531]) ).

cnf(refute_0_15533,plain,
    quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) = quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),product(bigC(a,a,b),product(bigC(a,b,c),b))) )],[refute_0_6983,refute_0_15532]) ).

cnf(refute_0_15534,plain,
    ( quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) != quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) ),[0],$fot(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)))]]) ).

cnf(refute_0_15535,plain,
    ( quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b))) )],[refute_0_15533,refute_0_15534]) ).

cnf(refute_0_15536,plain,
    ( product(a,bigC(a,b,bigC(c,a,b))) != product(a,bigC(a,b,c))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) ),[1],$fot(product(a,bigC(a,b,c)))]]) ).

cnf(refute_0_15537,plain,
    ( quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,bigC(c,a,b))),product(a,bigC(a,b,c))) )],[refute_0_6956,refute_0_15536]) ).

cnf(refute_0_15538,plain,
    ( quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)) != product(a,bigC(a,b,bigC(c,a,b)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) )],[refute_0_15535,refute_0_15537]) ).

cnf(refute_0_15539,plain,
    quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(a,product(c,b)),product(a,b)),product(a,b)),bigC(b,a,b)),product(a,bigC(a,b,bigC(c,a,b)))) )],[refute_0_15529,refute_0_15538]) ).

cnf(refute_0_15540,plain,
    quotient(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) = product(a,bigC(b,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_58:[bind(A,$fot(product(a,bigC(b,a,bigC(c,a,b))))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_15541,plain,
    ( product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)) != product(product(product(c,a),a),b)
    | quotient(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) != product(a,bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)),product(a,bigC(b,a,bigC(c,a,b)))) ),[0,0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_15542,plain,
    ( quotient(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)) != product(a,bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),product(product(product(c,a),a),b)) )],[refute_0_14821,refute_0_15541]) ).

cnf(refute_0_15543,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,bigC(c,a,b))),bigC(b,a,b)),bigC(b,a,b)),product(a,bigC(b,a,bigC(c,a,b)))) )],[refute_0_15540,refute_0_15542]) ).

cnf(refute_0_15544,plain,
    ( product(a,bigC(b,a,bigC(c,a,b))) != product(a,bigC(b,a,c))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != product(a,bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),product(a,bigC(b,a,bigC(c,a,b)))) ),[1],$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_15545,plain,
    ( quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != product(a,bigC(b,a,bigC(c,a,b)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,bigC(c,a,b))),product(a,bigC(b,a,c))) )],[refute_0_15507,refute_0_15544]) ).

cnf(refute_0_15546,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),product(a,bigC(b,a,bigC(c,a,b)))) )],[refute_0_15543,refute_0_15545]) ).

cnf(refute_0_15547,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = quotient(product(product(product(c,a),a),b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(product(c,a),a),b),bigC(b,a,b)))]]) ).

cnf(refute_0_15548,plain,
    ( product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != quotient(product(product(product(c,a),a),b),bigC(b,a,b))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),quotient(product(product(product(c,a),a),b),bigC(b,a,b))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15549,plain,
    ( product(product(product(c,a),a),b) != product(a,product(b,product(b,c)))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),quotient(product(product(product(c,a),a),b),bigC(b,a,b))) )],[refute_0_15547,refute_0_15548]) ).

cnf(refute_0_15550,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(a,product(b,product(b,c)))) )],[refute_0_4768,refute_0_15549]) ).

cnf(refute_0_15551,plain,
    ( quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != product(a,bigC(b,a,c))
    | quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != quotient(product(a,product(b,product(b,c))),bigC(b,a,b))
    | quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),product(a,bigC(b,a,c))) ),[0],$fot(quotient(product(a,product(b,product(b,c))),bigC(b,a,b)))]]) ).

cnf(refute_0_15552,plain,
    ( quotient(product(product(product(c,a),a),b),bigC(b,a,b)) != product(a,bigC(b,a,c))
    | quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),quotient(product(a,product(b,product(b,c))),bigC(b,a,b))) )],[refute_0_15550,refute_0_15551]) ).

cnf(refute_0_15553,plain,
    quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,a,b)),product(a,bigC(b,a,c))) )],[refute_0_15546,refute_0_15552]) ).

cnf(refute_0_15554,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),b)) != product(bigC(a,a,b),product(c,b))
    | product(bigC(a,a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,b),product(bigC(a,b,c),b)))),bind(Y,$fot(product(bigC(a,a,b),product(c,b)))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_15555,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),b)),product(bigC(a,a,b),product(c,b))) )],[refute_0_7008,refute_0_15554]) ).

cnf(refute_0_15556,plain,
    product(bigC(a,a,b),product(bigC(a,b,c),b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(a,product(b,product(b,c)))) )],[refute_0_7014,refute_0_15555]) ).

cnf(refute_0_15557,plain,
    quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)))]]) ).

cnf(refute_0_15558,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15559,plain,
    ( product(bigC(a,a,b),product(bigC(a,b,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b))) )],[refute_0_15557,refute_0_15558]) ).

cnf(refute_0_15560,plain,
    quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = quotient(product(a,product(b,product(b,c))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,b,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_15556,refute_0_15559]) ).

cnf(refute_0_15561,plain,
    ( quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) != product(a,bigC(b,a,c))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != quotient(product(a,product(b,product(b,c))),bigC(b,a,b))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)))),bind(Y,$fot(quotient(product(a,product(b,product(b,c))),bigC(b,a,b)))),bind(Z,$fot(product(a,bigC(b,a,c))))]]) ).

cnf(refute_0_15562,plain,
    ( quotient(product(a,product(b,product(b,c))),bigC(b,a,b)) != product(a,bigC(b,a,c))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),quotient(product(a,product(b,product(b,c))),bigC(b,a,b))) )],[refute_0_15560,refute_0_15561]) ).

cnf(refute_0_15563,plain,
    quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,product(b,c))),bigC(b,a,b)),product(a,bigC(b,a,c))) )],[refute_0_15553,refute_0_15562]) ).

cnf(refute_0_15564,plain,
    ( quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(a,b,c))
    | quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(b,a,c))
    | product(a,bigC(b,a,c)) = product(a,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),product(a,bigC(a,b,c))) ),[0],$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_15565,plain,
    ( quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(a,b,c))
    | product(a,bigC(b,a,c)) = product(a,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),product(a,bigC(b,a,c))) )],[refute_0_15563,refute_0_15564]) ).

cnf(refute_0_15566,plain,
    ( product(a,bigC(a,b,c)) != product(a,c)
    | product(a,bigC(b,a,c)) != product(a,bigC(a,b,c))
    | product(a,bigC(b,a,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,bigC(a,b,c))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_15567,plain,
    ( product(a,bigC(b,a,c)) != product(a,bigC(a,b,c))
    | product(a,bigC(b,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,b,c)),product(a,c)) )],[refute_0_6991,refute_0_15566]) ).

cnf(refute_0_15568,plain,
    ( quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)) != product(a,bigC(a,b,c))
    | product(a,bigC(b,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,bigC(a,b,c))) )],[refute_0_15565,refute_0_15567]) ).

cnf(refute_0_15569,plain,
    product(a,bigC(b,a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(bigC(a,b,c),b)),bigC(b,a,b)),product(a,bigC(a,b,c))) )],[refute_0_15539,refute_0_15568]) ).

cnf(refute_0_15570,plain,
    product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))))]]) ).

cnf(refute_0_15571,plain,
    ( product(a,bigC(b,a,c)) != product(a,c)
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b)))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(product(a,c),product(X_66,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b)))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_15572,plain,
    ( product(a,bigC(b,a,c)) != product(a,c)
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(product(a,c),product(X_66,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b)))) )],[refute_0_15570,refute_0_15571]) ).

cnf(refute_0_15573,plain,
    product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) = product(product(a,c),product(X_66,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,c)) )],[refute_0_15569,refute_0_15572]) ).

cnf(refute_0_15574,plain,
    ( product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(product(a,c),product(X_66,bigC(b,a,b)))
    | product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) ),[0],$fot(product(product(a,c),product(X_66,bigC(b,a,b))))]]) ).

cnf(refute_0_15575,plain,
    ( product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(product(a,c),product(X_66,bigC(b,a,b)))) )],[refute_0_15573,refute_0_15574]) ).

cnf(refute_0_15576,plain,
    product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) )],[refute_0_15525,refute_0_15575]) ).

cnf(refute_0_15577,plain,
    bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,product(c,a),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(bigC(a,product(c,a),bigC(b,a,c)))]]) ).

cnf(refute_0_15578,plain,
    ( bigC(a,product(c,a),bigC(b,a,c)) != bigC(a,product(c,a),bigC(b,a,c))
    | bigC(b,a,c) != c
    | bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,c)),bigC(a,product(c,a),bigC(b,a,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_15579,plain,
    ( bigC(b,a,c) != c
    | bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,product(c,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,c)),bigC(a,product(c,a),bigC(b,a,c))) )],[refute_0_15577,refute_0_15578]) ).

cnf(refute_0_15580,plain,
    bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,product(c,a),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_2738,refute_0_15579]) ).

cnf(refute_0_15581,plain,
    ( bigC(a,product(c,a),bigC(b,a,c)) != bigC(a,product(c,a),c)
    | bigC(a,product(c,a),c) != bigC(a,c,product(c,a))
    | bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(a,product(c,a),bigC(b,a,c)))),bind(Y,$fot(bigC(a,product(c,a),c))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_15582,plain,
    ( bigC(a,product(c,a),c) != bigC(a,c,product(c,a))
    | bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,c)),bigC(a,product(c,a),c)) )],[refute_0_15580,refute_0_15581]) ).

cnf(refute_0_15583,plain,
    bigC(a,product(c,a),bigC(b,a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),c),bigC(a,c,product(c,a))) )],[refute_0_2280,refute_0_15582]) ).

cnf(refute_0_15584,plain,
    product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) = product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)))]]) ).

cnf(refute_0_15585,plain,
    ( bigC(a,product(c,a),bigC(b,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) = product(bigC(a,c,product(c,a)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_15586,plain,
    ( bigC(a,product(c,a),bigC(b,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) = product(bigC(a,c,product(c,a)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) )],[refute_0_15584,refute_0_15585]) ).

cnf(refute_0_15587,plain,
    product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) = product(bigC(a,c,product(c,a)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),bigC(b,a,c)),bigC(a,c,product(c,a))) )],[refute_0_15583,refute_0_15586]) ).

cnf(refute_0_15588,plain,
    ( product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)) != product(bigC(a,c,product(c,a)),product(X_66,b))
    | product(product(a,c),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,c,product(c,a)),product(X_66,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) ),[1],$fot(product(bigC(a,c,product(c,a)),product(X_66,b)))]]) ).

cnf(refute_0_15589,plain,
    ( product(product(a,c),product(X_66,bigC(b,a,b))) != product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))
    | product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,c,product(c,a)),product(X_66,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b)),product(bigC(a,c,product(c,a)),product(X_66,b))) )],[refute_0_15587,refute_0_15588]) ).

cnf(refute_0_15590,plain,
    product(product(a,c),product(X_66,bigC(b,a,b))) = product(bigC(a,c,product(c,a)),product(X_66,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(b,a,b))),product(bigC(a,product(c,a),bigC(b,a,c)),product(X_66,b))) )],[refute_0_15576,refute_0_15589]) ).

cnf(refute_0_15591,plain,
    ( product(product(a,c),product(X_66,bigC(b,a,b))) != product(bigC(a,c,product(c,a)),product(X_66,b))
    | product(bigC(a,c,product(c,a)),product(X_66,b)) = product(product(a,c),product(X_66,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(a,c),product(X_66,bigC(b,a,b))))),bind(Y,$fot(product(bigC(a,c,product(c,a)),product(X_66,b))))]]) ).

cnf(refute_0_15592,plain,
    product(bigC(a,c,product(c,a)),product(X_66,b)) = product(product(a,c),product(X_66,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_66,bigC(b,a,b))),product(bigC(a,c,product(c,a)),product(X_66,b))) )],[refute_0_15590,refute_0_15591]) ).

cnf(refute_0_15593,plain,
    product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))),
    inference(subst,[],[refute_0_15592:[bind(X_66,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_15594,plain,
    ( product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b)))
    | product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,c),product(c,bigC(b,b,c)))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(product(a,c),product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)))),bind(Y,$fot(product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))))),bind(Z,$fot(product(product(a,c),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_15595,plain,
    ( product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,c),product(c,bigC(b,b,c)))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(product(a,c),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b)))) )],[refute_0_15593,refute_0_15594]) ).

cnf(refute_0_15596,plain,
    product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) = product(product(a,c),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,c),product(c,bigC(b,b,c)))) )],[refute_0_15487,refute_0_15595]) ).

cnf(refute_0_15597,plain,
    ( product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(product(a,c),product(c,bigC(b,b,c)))
    | product(product(a,c),product(c,bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(bigC(a,a,c),product(bigC(b,a,b),b))) ),[0],$fot(product(product(a,c),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_15598,plain,
    ( product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(product(a,c),product(c,bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(product(a,c),product(c,bigC(b,b,c)))) )],[refute_0_15596,refute_0_15597]) ).

cnf(refute_0_15599,plain,
    product(product(a,c),product(c,bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),product(product(c,product(c,b)),b)),product(bigC(a,a,c),product(bigC(b,a,b),b))) )],[refute_0_15483,refute_0_15598]) ).

cnf(refute_0_15600,plain,
    product(product(a,c),product(c,bigC(b,b,c))) = product(c,product(difference(b,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_4343:[bind(X_26,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_15601,plain,
    ( product(product(a,c),product(c,bigC(b,b,c))) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(product(a,c),product(c,bigC(b,b,c))) != product(c,product(difference(b,c),bigC(b,b,c)))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(c,bigC(b,b,c))),product(bigC(a,a,c),product(bigC(b,a,b),b))) ),[0],$fot(product(c,product(difference(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_15602,plain,
    ( product(product(a,c),product(c,bigC(b,b,c))) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,bigC(b,b,c))),product(c,product(difference(b,c),bigC(b,b,c)))) )],[refute_0_15600,refute_0_15601]) ).

cnf(refute_0_15603,plain,
    product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(a,a,c),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,bigC(b,b,c))),product(bigC(a,a,c),product(bigC(b,a,b),b))) )],[refute_0_15599,refute_0_15602]) ).

cnf(refute_0_15604,plain,
    ( product(c,product(difference(b,c),bigC(b,b,c))) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(bigC(a,a,c),product(bigC(b,a,b),b)) = product(c,product(difference(b,c),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(difference(b,c),bigC(b,b,c))))),bind(Y,$fot(product(bigC(a,a,c),product(bigC(b,a,b),b))))]]) ).

cnf(refute_0_15605,plain,
    product(bigC(a,a,c),product(bigC(b,a,b),b)) = product(c,product(difference(b,c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),bigC(b,b,c))),product(bigC(a,a,c),product(bigC(b,a,b),b))) )],[refute_0_15603,refute_0_15604]) ).

cnf(refute_0_15606,plain,
    product(bigC(b,b,a),b) = product(bigC(b,a,b),b),
    inference(subst,[],[refute_0_5859:[bind(X_86,$fot(b)),bind(X_87,$fot(a))]]) ).

cnf(refute_0_15607,plain,
    bigC(b,b,product(a,b)) = product(bigC(b,b,a),b),
    inference(subst,[],[refute_0_2629:[bind(X_17,$fot(b)),bind(X_36,$fot(a))]]) ).

cnf(refute_0_15608,plain,
    ( bigC(b,b,product(a,b)) != product(bigC(b,b,a),b)
    | product(bigC(b,b,a),b) != product(bigC(b,a,b),b)
    | bigC(b,b,product(a,b)) = product(bigC(b,a,b),b) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,b,product(a,b)))),bind(Y,$fot(product(bigC(b,b,a),b))),bind(Z,$fot(product(bigC(b,a,b),b)))]]) ).

cnf(refute_0_15609,plain,
    ( product(bigC(b,b,a),b) != product(bigC(b,a,b),b)
    | bigC(b,b,product(a,b)) = product(bigC(b,a,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(a,b)),product(bigC(b,b,a),b)) )],[refute_0_15607,refute_0_15608]) ).

cnf(refute_0_15610,plain,
    bigC(b,b,product(a,b)) = product(bigC(b,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),b),product(bigC(b,a,b),b)) )],[refute_0_15606,refute_0_15609]) ).

cnf(refute_0_15611,plain,
    product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(bigC(a,a,c),bigC(b,b,product(a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),bigC(b,b,product(a,b))))]]) ).

cnf(refute_0_15612,plain,
    ( bigC(b,b,product(a,b)) != product(bigC(b,a,b),b)
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) != product(bigC(a,a,c),bigC(b,b,product(a,b)))
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,product(a,b))),product(bigC(a,a,c),bigC(b,b,product(a,b)))) ),[1,1],$fot(product(bigC(b,a,b),b))]]) ).

cnf(refute_0_15613,plain,
    ( bigC(b,b,product(a,b)) != product(bigC(b,a,b),b)
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(bigC(a,a,c),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,product(a,b))),product(bigC(a,a,c),bigC(b,b,product(a,b)))) )],[refute_0_15611,refute_0_15612]) ).

cnf(refute_0_15614,plain,
    product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(bigC(a,a,c),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(a,b)),product(bigC(b,a,b),b)) )],[refute_0_15610,refute_0_15613]) ).

cnf(refute_0_15615,plain,
    ( product(bigC(a,a,c),bigC(b,b,product(a,b))) != product(bigC(a,a,c),product(bigC(b,a,b),b))
    | product(bigC(a,a,c),product(bigC(b,a,b),b)) != product(c,product(difference(b,c),bigC(b,b,c)))
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(a,a,c),bigC(b,b,product(a,b))))),bind(Y,$fot(product(bigC(a,a,c),product(bigC(b,a,b),b)))),bind(Z,$fot(product(c,product(difference(b,c),bigC(b,b,c)))))]]) ).

cnf(refute_0_15616,plain,
    ( product(bigC(a,a,c),product(bigC(b,a,b),b)) != product(c,product(difference(b,c),bigC(b,b,c)))
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,product(a,b))),product(bigC(a,a,c),product(bigC(b,a,b),b))) )],[refute_0_15614,refute_0_15615]) ).

cnf(refute_0_15617,plain,
    product(bigC(a,a,c),bigC(b,b,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(b,a,b),b)),product(c,product(difference(b,c),bigC(b,b,c)))) )],[refute_0_15605,refute_0_15616]) ).

cnf(refute_0_15618,plain,
    product(product(a,product(c,product(a,b))),bigC(b,b,a)) = product(bigC(a,a,c),bigC(b,b,product(a,b))),
    inference(subst,[],[refute_0_574:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_15619,plain,
    bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(product(a,product(c,product(a,b))),bigC(b,b,a)),
    inference(subst,[],[refute_0_1966:[bind(C,$fot(product(c,product(a,b)))),bind(X_65,$fot(a)),bind(X_66,$fot(b)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_15620,plain,
    ( bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(product(a,product(c,product(a,b))),bigC(b,b,a))
    | product(product(a,product(c,product(a,b))),bigC(b,b,a)) != product(bigC(a,a,c),bigC(b,b,product(a,b)))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(a,a,c),bigC(b,b,product(a,b))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(c,product(a,b))))),bind(Y,$fot(product(product(a,product(c,product(a,b))),bigC(b,b,a)))),bind(Z,$fot(product(bigC(a,a,c),bigC(b,b,product(a,b)))))]]) ).

cnf(refute_0_15621,plain,
    ( product(product(a,product(c,product(a,b))),bigC(b,b,a)) != product(bigC(a,a,c),bigC(b,b,product(a,b)))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(a,a,c),bigC(b,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(product(a,product(c,product(a,b))),bigC(b,b,a))) )],[refute_0_15619,refute_0_15620]) ).

cnf(refute_0_15622,plain,
    bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(bigC(a,a,c),bigC(b,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(a,b))),bigC(b,b,a)),product(bigC(a,a,c),bigC(b,b,product(a,b)))) )],[refute_0_15618,refute_0_15621]) ).

cnf(refute_0_15623,plain,
    ( bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(bigC(a,a,c),bigC(b,b,product(a,b)))
    | product(bigC(a,a,c),bigC(b,b,product(a,b))) != product(c,product(difference(b,c),bigC(b,b,c)))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(a,b),product(a,b),product(c,product(a,b))))),bind(Y,$fot(product(bigC(a,a,c),bigC(b,b,product(a,b))))),bind(Z,$fot(product(c,product(difference(b,c),bigC(b,b,c)))))]]) ).

cnf(refute_0_15624,plain,
    ( product(bigC(a,a,c),bigC(b,b,product(a,b))) != product(c,product(difference(b,c),bigC(b,b,c)))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(bigC(a,a,c),bigC(b,b,product(a,b)))) )],[refute_0_15622,refute_0_15623]) ).

cnf(refute_0_15625,plain,
    bigC(product(a,b),product(a,b),product(c,product(a,b))) = product(c,product(difference(b,c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,product(a,b))),product(c,product(difference(b,c),bigC(b,b,c)))) )],[refute_0_15617,refute_0_15624]) ).

cnf(refute_0_15626,plain,
    ( bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(bigC(c,product(a,b),product(a,b)),product(a,b))
    | bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(c,product(difference(b,c),bigC(b,b,c)))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(bigC(c,product(a,b),product(a,b)),product(a,b))) ),[0],$fot(product(c,product(difference(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_15627,plain,
    ( bigC(product(a,b),product(a,b),product(c,product(a,b))) != product(bigC(c,product(a,b),product(a,b)),product(a,b))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(c,product(difference(b,c),bigC(b,b,c)))) )],[refute_0_15625,refute_0_15626]) ).

cnf(refute_0_15628,plain,
    product(c,product(difference(b,c),bigC(b,b,c))) = product(bigC(c,product(a,b),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,product(a,b))),product(bigC(c,product(a,b),product(a,b)),product(a,b))) )],[refute_0_15439,refute_0_15627]) ).

cnf(refute_0_15629,plain,
    bigC(b,product(b,c),b) = bigC(b,b,product(b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_15630,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | bigC(b,product(b,c),b) != bigC(b,b,product(b,c))
    | bigC(b,product(b,c),b) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_32:[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,b,c))))]]) ).

cnf(refute_0_15631,plain,
    ( bigC(b,b,product(b,c)) != 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),bigC(b,b,product(b,c))) )],[refute_0_15629,refute_0_15630]) ).

cnf(refute_0_15632,plain,
    bigC(b,product(b,c),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_8906,refute_0_15631]) ).

cnf(refute_0_15633,plain,
    product(product(b,product(b,c)),b) = bigC(b,product(b,c),b),
    inference(subst,[],[refute_0_144:[bind(X_17,$fot(b)),bind(X_18,$fot(product(b,c)))]]) ).

cnf(refute_0_15634,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_32:[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_15635,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_15633,refute_0_15634]) ).

cnf(refute_0_15636,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_15632,refute_0_15635]) ).

cnf(refute_0_15637,plain,
    product(a,product(product(b,product(b,c)),b)) = product(a,product(product(b,product(b,c)),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,product(b,c)),b)))]]) ).

cnf(refute_0_15638,plain,
    ( product(a,product(product(b,product(b,c)),b)) != product(a,product(product(b,product(b,c)),b))
    | product(product(b,product(b,c)),b) != product(b,bigC(b,b,c))
    | product(a,product(product(b,product(b,c)),b)) = product(a,product(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,product(b,c)),b)),product(a,product(product(b,product(b,c)),b))) ),[1,1],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_15639,plain,
    ( product(product(b,product(b,c)),b) != product(b,bigC(b,b,c))
    | product(a,product(product(b,product(b,c)),b)) = product(a,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),b)),product(a,product(product(b,product(b,c)),b))) )],[refute_0_15637,refute_0_15638]) ).

cnf(refute_0_15640,plain,
    product(a,product(product(b,product(b,c)),b)) = product(a,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_15636,refute_0_15639]) ).

cnf(refute_0_15641,plain,
    product(product(a,product(b,product(b,c))),product(a,b)) = product(a,product(product(b,product(b,c)),b)),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(a)),bind(X_25,$fot(product(b,product(b,c)))),bind(X_26,$fot(b))]]) ).

cnf(refute_0_15642,plain,
    ( product(a,product(product(b,product(b,c)),b)) != product(a,product(b,bigC(b,b,c)))
    | product(product(a,product(b,product(b,c))),product(a,b)) != product(a,product(product(b,product(b,c)),b))
    | product(product(a,product(b,product(b,c))),product(a,b)) = product(a,product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(a,product(b,product(b,c))),product(a,b)))),bind(Y,$fot(product(a,product(product(b,product(b,c)),b)))),bind(Z,$fot(product(a,product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_15643,plain,
    ( product(a,product(product(b,product(b,c)),b)) != product(a,product(b,bigC(b,b,c)))
    | product(product(a,product(b,product(b,c))),product(a,b)) = product(a,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(a,b)),product(a,product(product(b,product(b,c)),b))) )],[refute_0_15641,refute_0_15642]) ).

cnf(refute_0_15644,plain,
    product(product(a,product(b,product(b,c))),product(a,b)) = product(a,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),b)),product(a,product(b,bigC(b,b,c)))) )],[refute_0_15640,refute_0_15643]) ).

cnf(refute_0_15645,plain,
    product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(bigC(c,product(a,b),product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(a,b),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_15646,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(a,product(b,product(b,c)))
    | product(bigC(c,product(a,b),product(a,b)),product(a,b)) != product(bigC(c,product(a,b),product(a,b)),product(a,b))
    | product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(product(a,product(b,product(b,c))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(a,b),product(a,b)),product(a,b)),product(bigC(c,product(a,b),product(a,b)),product(a,b))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15647,plain,
    ( bigC(c,product(a,b),product(a,b)) != product(a,product(b,product(b,c)))
    | product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(product(a,product(b,product(b,c))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),product(a,b)),product(a,b)),product(bigC(c,product(a,b),product(a,b)),product(a,b))) )],[refute_0_15645,refute_0_15646]) ).

cnf(refute_0_15648,plain,
    product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(product(a,product(b,product(b,c))),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_4780,refute_0_15647]) ).

cnf(refute_0_15649,plain,
    ( product(bigC(c,product(a,b),product(a,b)),product(a,b)) != product(product(a,product(b,product(b,c))),product(a,b))
    | product(product(a,product(b,product(b,c))),product(a,b)) != product(a,product(b,bigC(b,b,c)))
    | product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(a,product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(a,b),product(a,b)),product(a,b)))),bind(Y,$fot(product(product(a,product(b,product(b,c))),product(a,b)))),bind(Z,$fot(product(a,product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_15650,plain,
    ( product(product(a,product(b,product(b,c))),product(a,b)) != product(a,product(b,bigC(b,b,c)))
    | product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(a,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),product(a,b)),product(a,b)),product(product(a,product(b,product(b,c))),product(a,b))) )],[refute_0_15648,refute_0_15649]) ).

cnf(refute_0_15651,plain,
    product(bigC(c,product(a,b),product(a,b)),product(a,b)) = product(a,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,bigC(b,b,c)))) )],[refute_0_15644,refute_0_15650]) ).

cnf(refute_0_15652,plain,
    ( product(bigC(c,product(a,b),product(a,b)),product(a,b)) != product(a,product(b,bigC(b,b,c)))
    | product(c,product(difference(b,c),bigC(b,b,c))) != product(bigC(c,product(a,b),product(a,b)),product(a,b))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(a,product(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(b,c),bigC(b,b,c))),product(bigC(c,product(a,b),product(a,b)),product(a,b))) ),[1],$fot(product(a,product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_15653,plain,
    ( product(c,product(difference(b,c),bigC(b,b,c))) != product(bigC(c,product(a,b),product(a,b)),product(a,b))
    | product(c,product(difference(b,c),bigC(b,b,c))) = product(a,product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),product(a,b)),product(a,b)),product(a,product(b,bigC(b,b,c)))) )],[refute_0_15651,refute_0_15652]) ).

cnf(refute_0_15654,plain,
    product(c,product(difference(b,c),bigC(b,b,c))) = product(a,product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),bigC(b,b,c))),product(bigC(c,product(a,b),product(a,b)),product(a,b))) )],[refute_0_15628,refute_0_15653]) ).

cnf(refute_0_15655,plain,
    ( bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(product(c,product(difference(b,c),bigC(b,b,c))),c)
    | product(c,product(difference(b,c),bigC(b,b,c))) != product(a,product(b,bigC(b,b,c)))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(product(a,product(b,bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(product(c,product(difference(b,c),bigC(b,b,c))),c)) ),[1,0],$fot(product(a,product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_15656,plain,
    ( bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(product(c,product(difference(b,c),bigC(b,b,c))),c)
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(product(a,product(b,bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(b,c),bigC(b,b,c))),product(a,product(b,bigC(b,b,c)))) )],[refute_0_15654,refute_0_15655]) ).

cnf(refute_0_15657,plain,
    bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(product(a,product(b,bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(product(c,product(difference(b,c),bigC(b,b,c))),c)) )],[refute_0_15435,refute_0_15656]) ).

cnf(refute_0_15658,plain,
    bigC(difference(b,c),bigC(b,b,c),b) = bigC(difference(b,c),b,bigC(b,b,c)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(difference(b,c))),bind(B,$fot(b)),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_15659,plain,
    product(c,bigC(difference(b,c),bigC(b,b,c),b)) = product(c,bigC(difference(b,c),bigC(b,b,c),b)),
    introduced(tautology,[refl,[$fot(product(c,bigC(difference(b,c),bigC(b,b,c),b)))]]) ).

cnf(refute_0_15660,plain,
    ( bigC(difference(b,c),bigC(b,b,c),b) != bigC(difference(b,c),b,bigC(b,b,c))
    | product(c,bigC(difference(b,c),bigC(b,b,c),b)) != product(c,bigC(difference(b,c),bigC(b,b,c),b))
    | product(c,bigC(difference(b,c),bigC(b,b,c),b)) = product(c,bigC(difference(b,c),b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(difference(b,c),bigC(b,b,c),b)),product(c,bigC(difference(b,c),bigC(b,b,c),b))) ),[1,1],$fot(bigC(difference(b,c),b,bigC(b,b,c)))]]) ).

cnf(refute_0_15661,plain,
    ( bigC(difference(b,c),bigC(b,b,c),b) != bigC(difference(b,c),b,bigC(b,b,c))
    | product(c,bigC(difference(b,c),bigC(b,b,c),b)) = product(c,bigC(difference(b,c),b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),bigC(b,b,c),b)),product(c,bigC(difference(b,c),bigC(b,b,c),b))) )],[refute_0_15659,refute_0_15660]) ).

cnf(refute_0_15662,plain,
    product(c,bigC(difference(b,c),bigC(b,b,c),b)) = product(c,bigC(difference(b,c),b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),bigC(b,b,c),b),bigC(difference(b,c),b,bigC(b,b,c))) )],[refute_0_15658,refute_0_15661]) ).

cnf(refute_0_15663,plain,
    bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) = product(X_18,product(product(difference(X_72,X_18),X_71),X_18)),
    inference(subst,[],[refute_0_85:[bind(X_19,$fot(product(difference(X_72,X_18),X_71)))]]) ).

cnf(refute_0_15664,plain,
    bigC(difference(X_72,X_18),X_71,X_72) = product(product(difference(X_72,X_18),X_71),X_18),
    inference(subst,[],[refute_0_7:[bind(B,$fot(X_18)),bind(X_18,$fot(X_71)),bind(X_19,$fot(X_72))]]) ).

cnf(refute_0_15665,plain,
    ( bigC(difference(X_72,X_18),X_71,X_72) != product(product(difference(X_72,X_18),X_71),X_18)
    | product(product(difference(X_72,X_18),X_71),X_18) = bigC(difference(X_72,X_18),X_71,X_72) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(difference(X_72,X_18),X_71,X_72))),bind(Y,$fot(product(product(difference(X_72,X_18),X_71),X_18)))]]) ).

cnf(refute_0_15666,plain,
    product(product(difference(X_72,X_18),X_71),X_18) = bigC(difference(X_72,X_18),X_71,X_72),
    inference(resolve,[$cnf( $equal(bigC(difference(X_72,X_18),X_71,X_72),product(product(difference(X_72,X_18),X_71),X_18)) )],[refute_0_15664,refute_0_15665]) ).

cnf(refute_0_15667,plain,
    ( bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) != product(X_18,product(product(difference(X_72,X_18),X_71),X_18))
    | product(product(difference(X_72,X_18),X_71),X_18) != bigC(difference(X_72,X_18),X_71,X_72)
    | bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) = product(X_18,bigC(difference(X_72,X_18),X_71,X_72)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_18,X_18,product(difference(X_72,X_18),X_71)),product(X_18,product(product(difference(X_72,X_18),X_71),X_18))) ),[1,1],$fot(bigC(difference(X_72,X_18),X_71,X_72))]]) ).

cnf(refute_0_15668,plain,
    ( bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) != product(X_18,product(product(difference(X_72,X_18),X_71),X_18))
    | bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) = product(X_18,bigC(difference(X_72,X_18),X_71,X_72)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_72,X_18),X_71),X_18),bigC(difference(X_72,X_18),X_71,X_72)) )],[refute_0_15666,refute_0_15667]) ).

cnf(refute_0_15669,plain,
    bigC(X_18,X_18,product(difference(X_72,X_18),X_71)) = product(X_18,bigC(difference(X_72,X_18),X_71,X_72)),
    inference(resolve,[$cnf( $equal(bigC(X_18,X_18,product(difference(X_72,X_18),X_71)),product(X_18,product(product(difference(X_72,X_18),X_71),X_18))) )],[refute_0_15663,refute_0_15668]) ).

cnf(refute_0_15670,plain,
    bigC(c,c,product(difference(b,c),bigC(b,b,c))) = product(c,bigC(difference(b,c),bigC(b,b,c),b)),
    inference(subst,[],[refute_0_15669:[bind(X_18,$fot(c)),bind(X_71,$fot(bigC(b,b,c))),bind(X_72,$fot(b))]]) ).

cnf(refute_0_15671,plain,
    bigC(c,product(difference(b,c),bigC(b,b,c)),c) = bigC(c,c,product(difference(b,c),bigC(b,b,c))),
    inference(subst,[],[refute_0_2840:[bind(X_25,$fot(product(difference(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_15672,plain,
    ( bigC(c,c,product(difference(b,c),bigC(b,b,c))) != product(c,bigC(difference(b,c),bigC(b,b,c),b))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) != bigC(c,c,product(difference(b,c),bigC(b,b,c)))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(difference(b,c),bigC(b,b,c)),c))),bind(Y,$fot(bigC(c,c,product(difference(b,c),bigC(b,b,c))))),bind(Z,$fot(product(c,bigC(difference(b,c),bigC(b,b,c),b))))]]) ).

cnf(refute_0_15673,plain,
    ( bigC(c,c,product(difference(b,c),bigC(b,b,c))) != product(c,bigC(difference(b,c),bigC(b,b,c),b))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),bigC(c,c,product(difference(b,c),bigC(b,b,c)))) )],[refute_0_15671,refute_0_15672]) ).

cnf(refute_0_15674,plain,
    bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(difference(b,c),bigC(b,b,c))),product(c,bigC(difference(b,c),bigC(b,b,c),b))) )],[refute_0_15670,refute_0_15673]) ).

cnf(refute_0_15675,plain,
    ( bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(c,bigC(difference(b,c),bigC(b,b,c),b))
    | product(c,bigC(difference(b,c),bigC(b,b,c),b)) != product(c,bigC(difference(b,c),b,bigC(b,b,c)))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(difference(b,c),bigC(b,b,c)),c))),bind(Y,$fot(product(c,bigC(difference(b,c),bigC(b,b,c),b)))),bind(Z,$fot(product(c,bigC(difference(b,c),b,bigC(b,b,c)))))]]) ).

cnf(refute_0_15676,plain,
    ( product(c,bigC(difference(b,c),bigC(b,b,c),b)) != product(c,bigC(difference(b,c),b,bigC(b,b,c)))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(c,bigC(difference(b,c),bigC(b,b,c),b))) )],[refute_0_15674,refute_0_15675]) ).

cnf(refute_0_15677,plain,
    bigC(c,product(difference(b,c),bigC(b,b,c)),c) = product(c,bigC(difference(b,c),b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),bigC(b,b,c),b)),product(c,bigC(difference(b,c),b,bigC(b,b,c)))) )],[refute_0_15662,refute_0_15676]) ).

cnf(refute_0_15678,plain,
    ( bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(c,bigC(difference(b,c),b,bigC(b,b,c)))
    | bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(product(a,product(b,bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(product(a,product(b,bigC(b,b,c))),c)) ),[0],$fot(product(c,bigC(difference(b,c),b,bigC(b,b,c))))]]) ).

cnf(refute_0_15679,plain,
    ( bigC(c,product(difference(b,c),bigC(b,b,c)),c) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(product(a,product(b,bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(c,bigC(difference(b,c),b,bigC(b,b,c)))) )],[refute_0_15677,refute_0_15678]) ).

cnf(refute_0_15680,plain,
    product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(product(a,product(b,bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(difference(b,c),bigC(b,b,c)),c),product(product(a,product(b,bigC(b,b,c))),c)) )],[refute_0_15657,refute_0_15679]) ).

cnf(refute_0_15681,plain,
    ( product(c,bigC(difference(b,c),b,bigC(b,b,c))) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(B,D))
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(B,D))) ),[1,0],$fot(product(product(a,product(b,bigC(b,b,c))),c))]]) ).

cnf(refute_0_15682,plain,
    ( product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(B,D))
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(product(a,product(b,bigC(b,b,c))),c)) )],[refute_0_15680,refute_0_15681]) ).

cnf(refute_0_15683,plain,
    product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(B,D))) )],[refute_0_15434,refute_0_15682]) ).

cnf(refute_0_15684,plain,
    bigC(difference(b,c),b,bigC(b,b,c)) = product(c,product(bigC(b,b,c),b)),
    inference(subst,[],[refute_0_5312:[bind(X_97,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_15685,plain,
    product(bigC(difference(b,c),b,bigC(b,b,c)),D) = product(bigC(difference(b,c),b,bigC(b,b,c)),D),
    introduced(tautology,[refl,[$fot(product(bigC(difference(b,c),b,bigC(b,b,c)),D))]]) ).

cnf(refute_0_15686,plain,
    ( bigC(difference(b,c),b,bigC(b,b,c)) != product(c,product(bigC(b,b,c),b))
    | product(bigC(difference(b,c),b,bigC(b,b,c)),D) != product(bigC(difference(b,c),b,bigC(b,b,c)),D)
    | product(bigC(difference(b,c),b,bigC(b,b,c)),D) = product(product(c,product(bigC(b,b,c),b)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(difference(b,c),b,bigC(b,b,c)),D),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) ),[1,0],$fot(product(c,product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_15687,plain,
    ( bigC(difference(b,c),b,bigC(b,b,c)) != product(c,product(bigC(b,b,c),b))
    | product(bigC(difference(b,c),b,bigC(b,b,c)),D) = product(product(c,product(bigC(b,b,c),b)),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),b,bigC(b,b,c)),D),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) )],[refute_0_15685,refute_0_15686]) ).

cnf(refute_0_15688,plain,
    product(bigC(difference(b,c),b,bigC(b,b,c)),D) = product(product(c,product(bigC(b,b,c),b)),D),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,bigC(b,b,c)),product(c,product(bigC(b,b,c),b))) )],[refute_0_15684,refute_0_15687]) ).

cnf(refute_0_15689,plain,
    product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)))]]) ).

cnf(refute_0_15690,plain,
    ( product(bigC(difference(b,c),b,bigC(b,b,c)),D) != product(product(c,product(bigC(b,b,c),b)),D)
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D))
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D))) ),[1,1],$fot(product(product(c,product(bigC(b,b,c),b)),D))]]) ).

cnf(refute_0_15691,plain,
    ( product(bigC(difference(b,c),b,bigC(b,b,c)),D) != product(product(c,product(bigC(b,b,c),b)),D)
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D))) )],[refute_0_15689,refute_0_15690]) ).

cnf(refute_0_15692,plain,
    product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) = product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)),
    inference(resolve,[$cnf( $equal(product(bigC(difference(b,c),b,bigC(b,b,c)),D),product(product(c,product(bigC(b,b,c),b)),D)) )],[refute_0_15688,refute_0_15691]) ).

cnf(refute_0_15693,plain,
    ( product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D))
    | product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) ),[0],$fot(product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)))]]) ).

cnf(refute_0_15694,plain,
    ( product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D))) )],[refute_0_15692,refute_0_15693]) ).

cnf(refute_0_15695,plain,
    product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(c,bigC(difference(b,c),b,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(c,bigC(difference(b,c),b,bigC(b,b,c))))]]) ).

cnf(refute_0_15696,plain,
    ( bigC(difference(b,c),b,bigC(b,b,c)) != product(c,product(bigC(b,b,c),b))
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) != product(c,bigC(difference(b,c),b,bigC(b,b,c)))
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(c,product(c,product(bigC(b,b,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(c,bigC(difference(b,c),b,bigC(b,b,c)))) ),[1,1],$fot(product(c,product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_15697,plain,
    ( bigC(difference(b,c),b,bigC(b,b,c)) != product(c,product(bigC(b,b,c),b))
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(c,product(c,product(bigC(b,b,c),b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(c,bigC(difference(b,c),b,bigC(b,b,c)))) )],[refute_0_15695,refute_0_15696]) ).

cnf(refute_0_15698,plain,
    product(c,bigC(difference(b,c),b,bigC(b,b,c))) = product(c,product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,bigC(b,b,c)),product(c,product(bigC(b,b,c),b))) )],[refute_0_15684,refute_0_15697]) ).

cnf(refute_0_15699,plain,
    ( product(c,bigC(difference(b,c),b,bigC(b,b,c))) != product(c,product(c,product(bigC(b,b,c),b)))
    | product(c,bigC(difference(b,c),b,bigC(b,b,c))) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(c,product(c,product(bigC(b,b,c),b))) = product(product(a,product(b,bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(product(a,product(b,bigC(b,b,c))),c)) ),[0],$fot(product(c,product(c,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15700,plain,
    ( product(c,bigC(difference(b,c),b,bigC(b,b,c))) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(c,product(c,product(bigC(b,b,c),b))) = product(product(a,product(b,bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(c,product(c,product(bigC(b,b,c),b)))) )],[refute_0_15698,refute_0_15699]) ).

cnf(refute_0_15701,plain,
    product(c,product(c,product(bigC(b,b,c),b))) = product(product(a,product(b,bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(difference(b,c),b,bigC(b,b,c))),product(product(a,product(b,bigC(b,b,c))),c)) )],[refute_0_15680,refute_0_15700]) ).

cnf(refute_0_15702,plain,
    ( product(c,product(c,product(bigC(b,b,c),b))) != product(product(a,product(b,bigC(b,b,c))),c)
    | product(product(a,product(b,bigC(b,b,c))),c) = product(c,product(c,product(bigC(b,b,c),b))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(c,product(bigC(b,b,c),b))))),bind(Y,$fot(product(product(a,product(b,bigC(b,b,c))),c)))]]) ).

cnf(refute_0_15703,plain,
    product(product(a,product(b,bigC(b,b,c))),c) = product(c,product(c,product(bigC(b,b,c),b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(bigC(b,b,c),b))),product(product(a,product(b,bigC(b,b,c))),c)) )],[refute_0_15701,refute_0_15702]) ).

cnf(refute_0_15704,plain,
    product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)))]]) ).

cnf(refute_0_15705,plain,
    ( product(product(a,product(b,bigC(b,b,c))),c) != product(c,product(c,product(bigC(b,b,c),b)))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) ),[1,0],$fot(product(c,product(c,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15706,plain,
    ( product(product(a,product(b,bigC(b,b,c))),c) != product(c,product(c,product(bigC(b,b,c),b)))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) )],[refute_0_15704,refute_0_15705]) ).

cnf(refute_0_15707,plain,
    product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(bigC(b,b,c),b)))) )],[refute_0_15703,refute_0_15706]) ).

cnf(refute_0_15708,plain,
    ( product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)) != product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))
    | product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)),product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))) ),[0],$fot(product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)))]]) ).

cnf(refute_0_15709,plain,
    ( product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))) )],[refute_0_15707,refute_0_15708]) ).

cnf(refute_0_15710,plain,
    ( product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) )],[refute_0_15694,refute_0_15709]) ).

cnf(refute_0_15711,plain,
    product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(difference(b,c),b,bigC(b,b,c)),D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) )],[refute_0_15683,refute_0_15710]) ).

cnf(refute_0_15712,plain,
    ( product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) != product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))
    | product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) = product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)))),bind(Y,$fot(product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))))]]) ).

cnf(refute_0_15713,plain,
    product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) = product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,product(bigC(b,b,c),b)),D)),product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D))) )],[refute_0_15711,refute_0_15712]) ).

cnf(refute_0_15714,plain,
    product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))),
    inference(subst,[],[refute_0_15713:[bind(B,$fot(c)),bind(D,$fot(product(a,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15715,plain,
    ( product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a)))))
    | product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))))),bind(Y,$fot(product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))))),bind(Z,$fot(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))))]]) ).

cnf(refute_0_15716,plain,
    ( product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a)))))) )],[refute_0_15714,refute_0_15715]) ).

cnf(refute_0_15717,plain,
    product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,product(bigC(b,b,c),b)),product(a,bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15433,refute_0_15716]) ).

cnf(refute_0_15718,plain,
    product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) = product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(product(a,product(b,bigC(b,b,c))))),bind(C,$fot(c))]]) ).

cnf(refute_0_15719,plain,
    ( product(product(a,product(b,bigC(b,b,c))),c) != product(c,product(c,product(bigC(b,b,c),b)))
    | product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) ),[1,0],$fot(product(c,product(c,product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_15720,plain,
    ( product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) != product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))
    | product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(bigC(b,b,c),b)))) )],[refute_0_15703,refute_0_15719]) ).

cnf(refute_0_15721,plain,
    product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)) = product(product(c,product(c,product(bigC(b,b,c),b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),B),product(c,D)),product(product(product(a,product(b,bigC(b,b,c))),c),product(B,D))) )],[refute_0_15718,refute_0_15720]) ).

cnf(refute_0_15722,plain,
    product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))),
    inference(subst,[],[refute_0_15721:[bind(B,$fot(c)),bind(D,$fot(product(a,bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_15723,plain,
    ( product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) != product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))),bind(Y,$fot(product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))))),bind(Z,$fot(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))))]]) ).

cnf(refute_0_15724,plain,
    ( product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))),product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a)))))) )],[refute_0_15722,refute_0_15723]) ).

cnf(refute_0_15725,plain,
    product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(bigC(b,b,c),b))),product(c,product(a,bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15717,refute_0_15724]) ).

cnf(refute_0_15726,plain,
    ( product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) != product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))),bind(Y,$fot(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))))),bind(Z,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15727,plain,
    ( product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))),product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a)))))) )],[refute_0_15725,refute_0_15726]) ).

cnf(refute_0_15728,plain,
    product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(product(bigC(b,b,c),b),bigC(a,b,product(b,a))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15432,refute_0_15727]) ).

cnf(refute_0_15729,plain,
    product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))))]]) ).

cnf(refute_0_15730,plain,
    ( product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))) ),[1,1],$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15731,plain,
    ( product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15729,refute_0_15730]) ).

cnf(refute_0_15732,plain,
    product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15728,refute_0_15731]) ).

cnf(refute_0_15733,plain,
    product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),
    inference(subst,[],[refute_0_380:[bind(X_19,$fot(product(a,product(b,bigC(b,b,c))))),bind(X_65,$fot(c)),bind(X_67,$fot(product(c,product(a,bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_15734,plain,
    product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),
    inference(subst,[],[refute_0_3763:[bind(X_24,$fot(c)),bind(X_25,$fot(product(a,product(b,bigC(b,b,c))))),bind(X_26,$fot(product(c,product(a,bigC(a,b,product(b,a)))))),bind(X_97,$fot(c))]]) ).

cnf(refute_0_15735,plain,
    ( product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a))))))
    | product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Y,$fot(product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Z,$fot(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))))]]) ).

cnf(refute_0_15736,plain,
    ( product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15734,refute_0_15735]) ).

cnf(refute_0_15737,plain,
    product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(a,product(b,bigC(b,b,c)))),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15733,refute_0_15736]) ).

cnf(refute_0_15738,plain,
    product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),
    inference(subst,[],[refute_0_169:[bind(X_18,$fot(product(a,product(b,bigC(b,b,c))))),bind(X_24,$fot(c)),bind(X_25,$fot(c)),bind(X_26,$fot(product(c,product(a,bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_15739,plain,
    ( product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Y,$fot(product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Z,$fot(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))))]]) ).

cnf(refute_0_15740,plain,
    ( product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15738,refute_0_15739]) ).

cnf(refute_0_15741,plain,
    product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,product(b,bigC(b,b,c))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15737,refute_0_15740]) ).

cnf(refute_0_15742,plain,
    ( product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Y,$fot(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))))),bind(Z,$fot(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15743,plain,
    ( product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a))))))) )],[refute_0_15741,refute_0_15742]) ).

cnf(refute_0_15744,plain,
    product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(a,product(b,bigC(b,b,c))),c),product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15732,refute_0_15743]) ).

cnf(refute_0_15745,plain,
    ( product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != c
    | product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),c) ),[0],$fot(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15746,plain,
    ( product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))) != c
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15744,refute_0_15745]) ).

cnf(refute_0_15747,plain,
    product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,product(b,bigC(b,b,c)))),c),product(c,product(c,product(a,bigC(a,b,product(b,a)))))),c) )],[refute_0_15254,refute_0_15746]) ).

cnf(refute_0_15748,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_15749,plain,
    ( product(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15748]) ).

cnf(refute_0_15750,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_44,refute_0_15749]) ).

cnf(refute_0_15751,plain,
    quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_789:[bind(X_15,$fot(c)),bind(X_16,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15752,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15753,plain,
    ( quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15752]) ).

cnf(refute_0_15754,plain,
    quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15751,refute_0_15753]) ).

cnf(refute_0_15755,plain,
    product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_15756,plain,
    bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_15757,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))
    | product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)))),bind(Z,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15758,plain,
    ( product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))) )],[refute_0_15756,refute_0_15757]) ).

cnf(refute_0_15759,plain,
    bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15755,refute_0_15758]) ).

cnf(refute_0_15760,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) = bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_11857:[bind(X_24,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15761,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) != bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),bind(Y,$fot(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15762,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c),bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15760,refute_0_15761]) ).

cnf(refute_0_15763,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15759,refute_0_15762]) ).

cnf(refute_0_15764,plain,
    product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(product(c,X_25),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_26,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15765,plain,
    ( product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(product(c,X_25),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(product(c,X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(product(c,X_25),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15766,plain,
    ( product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(product(c,X_25),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(product(c,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15765]) ).

cnf(refute_0_15767,plain,
    product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(product(c,X_25),c),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(product(c,X_25),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15764,refute_0_15766]) ).

cnf(refute_0_15768,plain,
    product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_26,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15769,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15770,plain,
    ( product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15769]) ).

cnf(refute_0_15771,plain,
    product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15768,refute_0_15770]) ).

cnf(refute_0_15772,plain,
    product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(X_24)),bind(X_26,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15773,plain,
    ( product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) ),[0],$fot(product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15774,plain,
    ( product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15772,refute_0_15773]) ).

cnf(refute_0_15775,plain,
    product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15771,refute_0_15774]) ).

cnf(refute_0_15776,plain,
    ( product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))))]]) ).

cnf(refute_0_15777,plain,
    product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(X_24,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15775,refute_0_15776]) ).

cnf(refute_0_15778,plain,
    product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_15777:[bind(X_24,$fot(X_25))]]) ).

cnf(refute_0_15779,plain,
    ( product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(product(c,X_25),c)
    | product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,X_25),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(product(c,X_25),c)) ),[0],$fot(product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15780,plain,
    ( product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(product(c,X_25),c)
    | product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,X_25),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15778,refute_0_15779]) ).

cnf(refute_0_15781,plain,
    ( product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,X_25),c)
    | product(product(c,X_25),c) != bigC(c,X_25,c)
    | product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,X_25,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,X_25,c)) ),[0],$fot(product(product(c,X_25),c))]]) ).

cnf(refute_0_15782,plain,
    ( product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,X_25),c)
    | product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_25),c),bigC(c,X_25,c)) )],[refute_0_2823,refute_0_15781]) ).

cnf(refute_0_15783,plain,
    ( product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(product(c,X_25),c)
    | product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,X_25,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,X_25),c)) )],[refute_0_15780,refute_0_15782]) ).

cnf(refute_0_15784,plain,
    product(c,product(X_25,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,X_25,c),
    inference(resolve,[$cnf( $equal(product(c,product(X_25,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(product(c,X_25),c)) )],[refute_0_15767,refute_0_15783]) ).

cnf(refute_0_15785,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c),
    inference(subst,[],[refute_0_15784:[bind(X_25,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15786,plain,
    ( bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),bind(Z,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15787,plain,
    ( bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) )],[refute_0_15785,refute_0_15786]) ).

cnf(refute_0_15788,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15763,refute_0_15787]) ).

cnf(refute_0_15789,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_428:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(X_26,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15790,plain,
    ( product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15791,plain,
    ( product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15789,refute_0_15790]) ).

cnf(refute_0_15792,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15788,refute_0_15791]) ).

cnf(refute_0_15793,plain,
    ( product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Y,$fot(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15794,plain,
    ( product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15751,refute_0_15793]) ).

cnf(refute_0_15795,plain,
    quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15792,refute_0_15794]) ).

cnf(refute_0_15796,plain,
    ( quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[0],$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15797,plain,
    ( quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15795,refute_0_15796]) ).

cnf(refute_0_15798,plain,
    ( product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) ),[0],$fot(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15799,plain,
    ( product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15798]) ).

cnf(refute_0_15800,plain,
    ( quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15797,refute_0_15799]) ).

cnf(refute_0_15801,plain,
    product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15754,refute_0_15800]) ).

cnf(refute_0_15802,plain,
    ( product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)))),bind(Y,$fot(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15803,plain,
    ( product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15755,refute_0_15802]) ).

cnf(refute_0_15804,plain,
    product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15801,refute_0_15803]) ).

cnf(refute_0_15805,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))
    | product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != c
    | bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15806,plain,
    ( product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != c
    | bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))) )],[refute_0_15756,refute_0_15805]) ).

cnf(refute_0_15807,plain,
    bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),c) )],[refute_0_15804,refute_0_15806]) ).

cnf(refute_0_15808,plain,
    product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15809,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15810,plain,
    ( bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15808,refute_0_15809]) ).

cnf(refute_0_15811,plain,
    product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15807,refute_0_15810]) ).

cnf(refute_0_15812,plain,
    ( product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,c)
    | product(c,c) != c
    | product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15813,plain,
    ( product(c,c) != c
    | product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,c)) )],[refute_0_15811,refute_0_15812]) ).

cnf(refute_0_15814,plain,
    product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_219,refute_0_15813]) ).

cnf(refute_0_15815,plain,
    product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(subst,[],[refute_0_10682:[bind(X_88,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(X_89,$fot(c))]]) ).

cnf(refute_0_15816,plain,
    bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)),
    inference(subst,[],[refute_0_92:[bind(X_18,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(X_35,$fot(c))]]) ).

cnf(refute_0_15817,plain,
    ( bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))),bind(Y,$fot(product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))),bind(Z,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))))]]) ).

cnf(refute_0_15818,plain,
    ( product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) )],[refute_0_15816,refute_0_15817]) ).

cnf(refute_0_15819,plain,
    bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15815,refute_0_15818]) ).

cnf(refute_0_15820,plain,
    product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(subst,[],[refute_0_2044:[bind(X_19,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_15821,plain,
    ( bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Y,$fot(bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))),bind(Z,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))))]]) ).

cnf(refute_0_15822,plain,
    ( bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15820,refute_0_15821]) ).

cnf(refute_0_15823,plain,
    product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15819,refute_0_15822]) ).

cnf(refute_0_15824,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) = product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,X_26)),
    inference(subst,[],[refute_0_225:[bind(X_24,$fot(c)),bind(X_25,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15825,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,X_26))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) = product(c,product(c,X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,X_26))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15826,plain,
    ( product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,X_26))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) = product(c,product(c,X_26)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15825]) ).

cnf(refute_0_15827,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)) = product(c,product(c,X_26)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),X_26)),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,X_26))) )],[refute_0_15824,refute_0_15826]) ).

cnf(refute_0_15828,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),
    inference(subst,[],[refute_0_15827:[bind(X_26,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_15829,plain,
    ( product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Y,$fot(product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Z,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))))]]) ).

cnf(refute_0_15830,plain,
    ( product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))) )],[refute_0_15828,refute_0_15829]) ).

cnf(refute_0_15831,plain,
    product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15823,refute_0_15830]) ).

cnf(refute_0_15832,plain,
    product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) = product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(B,D)),
    inference(subst,[],[refute_0_27:[bind(A,$fot(c)),bind(C,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15833,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(B,D))
    | product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) = product(c,product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(B,D))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15834,plain,
    ( product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) != product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(B,D))
    | product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) = product(c,product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15833]) ).

cnf(refute_0_15835,plain,
    product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)) = product(c,product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),D)),product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(B,D))) )],[refute_0_15832,refute_0_15834]) ).

cnf(refute_0_15836,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),
    inference(subst,[],[refute_0_15835:[bind(B,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(D,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_15837,plain,
    ( product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Y,$fot(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Z,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))))]]) ).

cnf(refute_0_15838,plain,
    ( product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))) )],[refute_0_15836,refute_0_15837]) ).

cnf(refute_0_15839,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15831,refute_0_15838]) ).

cnf(refute_0_15840,plain,
    ( product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != c
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))))),bind(Y,$fot(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15841,plain,
    ( product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != c
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))) )],[refute_0_15839,refute_0_15840]) ).

cnf(refute_0_15842,plain,
    product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),c) )],[refute_0_15814,refute_0_15841]) ).

cnf(refute_0_15843,plain,
    ( product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != c
    | product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | c = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),[0],$fot(c)]]) ).

cnf(refute_0_15844,plain,
    ( product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | c = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),c) )],[refute_0_15842,refute_0_15843]) ).

cnf(refute_0_15845,plain,
    c = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15750,refute_0_15844]) ).

cnf(refute_0_15846,plain,
    ( c != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = c ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(c)),bind(Y,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15847,plain,
    product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = c,
    inference(resolve,[$cnf( $equal(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15845,refute_0_15846]) ).

cnf(refute_0_15848,plain,
    ( product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),[0,1,2],$fot(c)]]) ).

cnf(refute_0_15849,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) )],[refute_0_15847,refute_0_15848]) ).

cnf(refute_0_15850,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_43,refute_0_15849]) ).

cnf(refute_0_15851,plain,
    difference(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)),
    inference(subst,[],[refute_0_79:[bind(X_15,$fot(c)),bind(X_16,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15852,plain,
    ( difference(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_15853,plain,
    ( difference(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15852]) ).

cnf(refute_0_15854,plain,
    difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) )],[refute_0_15851,refute_0_15853]) ).

cnf(refute_0_15855,plain,
    difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(subst,[],[refute_0_9:[bind(A,$fot(c)),bind(B,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15856,plain,
    difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15857,plain,
    ( difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15858,plain,
    ( product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != c
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15856,refute_0_15857]) ).

cnf(refute_0_15859,plain,
    difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),c) )],[refute_0_15747,refute_0_15858]) ).

cnf(refute_0_15860,plain,
    ( difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15861,plain,
    ( difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15859,refute_0_15860]) ).

cnf(refute_0_15862,plain,
    difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15855,refute_0_15861]) ).

cnf(refute_0_15863,plain,
    ( difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) ),[0],$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_15864,plain,
    ( difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15862,refute_0_15863]) ).

cnf(refute_0_15865,plain,
    product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_117:[bind(A,$fot(c)),bind(B,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(C,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15866,plain,
    ( product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[0],$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)))]]) ).

cnf(refute_0_15867,plain,
    ( product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c)),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15865,refute_0_15866]) ).

cnf(refute_0_15868,plain,
    ( difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) )],[refute_0_15864,refute_0_15867]) ).

cnf(refute_0_15869,plain,
    product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c))) )],[refute_0_15854,refute_0_15868]) ).

cnf(refute_0_15870,plain,
    bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(subst,[],[refute_0_11857:[bind(X_24,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15871,plain,
    bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15872,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_15873,plain,
    ( product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15871,refute_0_15872]) ).

cnf(refute_0_15874,plain,
    bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) )],[refute_0_15847,refute_0_15873]) ).

cnf(refute_0_15875,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))),bind(Z,$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15876,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) )],[refute_0_15874,refute_0_15875]) ).

cnf(refute_0_15877,plain,
    bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15870,refute_0_15876]) ).

cnf(refute_0_15878,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1],$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15879,plain,
    ( product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15877,refute_0_15878]) ).

cnf(refute_0_15880,plain,
    product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15869,refute_0_15879]) ).

cnf(refute_0_15881,plain,
    ( product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(Y,$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15882,plain,
    bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15880,refute_0_15881]) ).

cnf(refute_0_15883,plain,
    ( bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))),bind(Y,$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(Z,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15884,plain,
    ( bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15870,refute_0_15883]) ).

cnf(refute_0_15885,plain,
    bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15882,refute_0_15884]) ).

cnf(refute_0_15886,plain,
    product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_208:[bind(X_23,$fot(c)),bind(X_26,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15887,plain,
    ( product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15888,plain,
    ( product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) )],[refute_0_15847,refute_0_15887]) ).

cnf(refute_0_15889,plain,
    product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15886,refute_0_15888]) ).

cnf(refute_0_15890,plain,
    product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,X_24,c),
    inference(subst,[],[refute_0_15784:[bind(X_25,$fot(X_24))]]) ).

cnf(refute_0_15891,plain,
    ( product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,X_24,c)
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = bigC(c,X_24,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1],$fot(bigC(c,X_24,c))]]) ).

cnf(refute_0_15892,plain,
    ( product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = bigC(c,X_24,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,X_24,c)) )],[refute_0_15890,refute_0_15891]) ).

cnf(refute_0_15893,plain,
    product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = bigC(c,X_24,c),
    inference(resolve,[$cnf( $equal(product(product(c,X_24),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(X_24,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15889,refute_0_15892]) ).

cnf(refute_0_15894,plain,
    product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c),
    inference(subst,[],[refute_0_15893:[bind(X_24,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15895,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)
    | product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(Y,$fot(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c))),bind(Z,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15896,plain,
    ( bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) )],[refute_0_15894,refute_0_15895]) ).

cnf(refute_0_15897,plain,
    product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15885,refute_0_15896]) ).

cnf(refute_0_15898,plain,
    bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15899,plain,
    ( bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,2],$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_15900,plain,
    ( product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15898,refute_0_15899]) ).

cnf(refute_0_15901,plain,
    bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15897,refute_0_15900]) ).

cnf(refute_0_15902,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15903,plain,
    ( bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15904,plain,
    ( product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15902,refute_0_15903]) ).

cnf(refute_0_15905,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) )],[refute_0_15847,refute_0_15904]) ).

cnf(refute_0_15906,plain,
    ( bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15907,plain,
    ( bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15905,refute_0_15906]) ).

cnf(refute_0_15908,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15901,refute_0_15907]) ).

cnf(refute_0_15909,plain,
    ( bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(Z,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15910,plain,
    ( bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15908,refute_0_15909]) ).

cnf(refute_0_15911,plain,
    bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15882,refute_0_15910]) ).

cnf(refute_0_15912,plain,
    bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_123:[bind(A,$fot(c)),bind(B,$fot(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(C,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15913,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_2040:[bind(X_22,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(X_45,$fot(c)),bind(X_46,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))]]) ).

cnf(refute_0_15914,plain,
    ( bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Y,$fot(bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15915,plain,
    ( bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15913,refute_0_15914]) ).

cnf(refute_0_15916,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15912,refute_0_15915]) ).

cnf(refute_0_15917,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(subst,[],[refute_0_6195:[bind(X_25,$fot(product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))),bind(X_96,$fot(c)),bind(X_97,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bind(X_98,$fot(c))]]) ).

cnf(refute_0_15918,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)))),bind(Y,$fot(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))))]]) ).

cnf(refute_0_15919,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15917,refute_0_15918]) ).

cnf(refute_0_15920,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15916,refute_0_15919]) ).

cnf(refute_0_15921,plain,
    ( bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)))),bind(Y,$fot(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))))),bind(Z,$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b))))))]]) ).

cnf(refute_0_15922,plain,
    ( bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))))) )],[refute_0_15920,refute_0_15921]) ).

cnf(refute_0_15923,plain,
    product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) = product(product(c,a),difference(product(a,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15911,refute_0_15922]) ).

cnf(refute_0_15924,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(product(c,a),difference(product(a,c),product(c,product(c,b))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),[0],$fot(product(product(c,a),difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_15925,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) )],[refute_0_15923,refute_0_15924]) ).

cnf(refute_0_15926,plain,
    ( product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != c
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) ),[1],$fot(c)]]) ).

cnf(refute_0_15927,plain,
    ( product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),c) )],[refute_0_15847,refute_0_15926]) ).

cnf(refute_0_15928,plain,
    ( product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)) != product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15925,refute_0_15927]) ).

cnf(refute_0_15929,plain,
    product(product(c,a),difference(product(a,c),product(c,product(c,b)))) = c,
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b))))),product(product(c,a),difference(product(a,c),product(c,product(c,b)))))),bigC(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c)),product(c,product(product(c,a),difference(product(a,c),product(c,product(c,b)))))) )],[refute_0_15850,refute_0_15928]) ).

cnf(refute_0_15930,plain,
    ( difference(product(c,a),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != difference(product(a,c),product(c,product(c,b)))
    | product(product(c,a),difference(product(a,c),product(c,product(c,b)))) != c
    | difference(product(c,a),c) = difference(product(a,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),difference(product(a,c),product(c,product(c,b)))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_15931,plain,
    ( difference(product(c,a),product(product(c,a),difference(product(a,c),product(c,product(c,b))))) != difference(product(a,c),product(c,product(c,b)))
    | difference(product(c,a),c) = difference(product(a,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(a,c),product(c,product(c,b)))),c) )],[refute_0_15929,refute_0_15930]) ).

cnf(refute_0_15932,plain,
    difference(product(c,a),c) = difference(product(a,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,a),difference(product(a,c),product(c,product(c,b))))),difference(product(a,c),product(c,product(c,b)))) )],[refute_0_10,refute_0_15931]) ).

cnf(refute_0_15933,plain,
    ( difference(product(c,a),c) != difference(product(a,c),product(c,product(c,b)))
    | difference(product(c,a),c) != product(b,c)
    | product(b,c) = difference(product(a,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),c),difference(product(a,c),product(c,product(c,b)))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_15934,plain,
    ( difference(product(c,a),c) != difference(product(a,c),product(c,product(c,b)))
    | product(b,c) = difference(product(a,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_775,refute_0_15933]) ).

cnf(refute_0_15935,plain,
    product(b,c) = difference(product(a,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),difference(product(a,c),product(c,product(c,b)))) )],[refute_0_15932,refute_0_15934]) ).

cnf(refute_0_15936,plain,
    ( product(b,c) != difference(product(a,c),product(c,product(c,b)))
    | difference(product(a,c),product(c,product(c,b))) = product(b,c) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(product(b,c))),bind(Y,$fot(difference(product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_15937,plain,
    difference(product(a,c),product(c,product(c,b))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),difference(product(a,c),product(c,product(c,b)))) )],[refute_0_15935,refute_0_15936]) ).

cnf(refute_0_15938,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_18),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_18,product(a,c)) = product(product(product(b,c),X_18),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_18),product(c,product(c,b)))) ),[1,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_15939,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_18),product(c,product(c,b)))
    | bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = product(product(product(b,c),X_18),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_15937,refute_0_15938]) ).

cnf(refute_0_15940,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = product(product(product(b,c),X_18),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_18),product(c,product(c,b)))) )],[refute_0_8,refute_0_15939]) ).

cnf(refute_0_15941,plain,
    product(c,product(X_18,c)) = bigC(c,c,X_18),
    inference(subst,[],[refute_0_541:[bind(X_18,$fot(c)),bind(X_19,$fot(X_18))]]) ).

cnf(refute_0_15942,plain,
    bigC(b,B,a) = bigC(b,a,B),
    inference(subst,[],[refute_0_121:[bind(A,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_15943,plain,
    bigC(product(b,a),difference(product(b,a),B),product(a,b)) = product(B,product(product(a,b),product(b,a))),
    inference(subst,[],[refute_0_98:[bind(X_17,$fot(product(b,a))),bind(X_19,$fot(product(a,b)))]]) ).

cnf(refute_0_15944,plain,
    bigC(a,difference(product(b,a),B),b) = bigC(product(b,a),difference(product(b,a),B),product(a,b)),
    inference(subst,[],[refute_0_15161:[bind(X_118,$fot(difference(product(b,a),B)))]]) ).

cnf(refute_0_15945,plain,
    ( bigC(a,difference(product(b,a),B),b) != bigC(product(b,a),difference(product(b,a),B),product(a,b))
    | bigC(product(b,a),difference(product(b,a),B),product(a,b)) = bigC(a,difference(product(b,a),B),b) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,difference(product(b,a),B),b))),bind(Y,$fot(bigC(product(b,a),difference(product(b,a),B),product(a,b))))]]) ).

cnf(refute_0_15946,plain,
    bigC(product(b,a),difference(product(b,a),B),product(a,b)) = bigC(a,difference(product(b,a),B),b),
    inference(resolve,[$cnf( $equal(bigC(a,difference(product(b,a),B),b),bigC(product(b,a),difference(product(b,a),B),product(a,b))) )],[refute_0_15944,refute_0_15945]) ).

cnf(refute_0_15947,plain,
    ( bigC(product(b,a),difference(product(b,a),B),product(a,b)) != bigC(a,difference(product(b,a),B),b)
    | bigC(product(b,a),difference(product(b,a),B),product(a,b)) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,difference(product(b,a),B),b) = product(B,product(product(a,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),B),product(a,b)),product(B,product(product(a,b),product(b,a)))) ),[0],$fot(bigC(a,difference(product(b,a),B),b))]]) ).

cnf(refute_0_15948,plain,
    ( bigC(product(b,a),difference(product(b,a),B),product(a,b)) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,difference(product(b,a),B),b) = product(B,product(product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),B),product(a,b)),bigC(a,difference(product(b,a),B),b)) )],[refute_0_15946,refute_0_15947]) ).

cnf(refute_0_15949,plain,
    bigC(a,difference(product(b,a),B),b) = product(B,product(product(a,b),product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),B),product(a,b)),product(B,product(product(a,b),product(b,a)))) )],[refute_0_15943,refute_0_15948]) ).

cnf(refute_0_15950,plain,
    bigC(a,difference(product(b,a),B),b) = bigC(a,b,difference(product(b,a),B)),
    inference(subst,[],[refute_0_123:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(difference(product(b,a),B)))]]) ).

cnf(refute_0_15951,plain,
    ( bigC(a,difference(product(b,a),B),b) != bigC(a,b,difference(product(b,a),B))
    | bigC(a,difference(product(b,a),B),b) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,b,difference(product(b,a),B)) = product(B,product(product(a,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,difference(product(b,a),B),b),product(B,product(product(a,b),product(b,a)))) ),[0],$fot(bigC(a,b,difference(product(b,a),B)))]]) ).

cnf(refute_0_15952,plain,
    ( bigC(a,difference(product(b,a),B),b) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,b,difference(product(b,a),B)) = product(B,product(product(a,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(a,difference(product(b,a),B),b),bigC(a,b,difference(product(b,a),B))) )],[refute_0_15950,refute_0_15951]) ).

cnf(refute_0_15953,plain,
    product(B,product(product(a,b),product(b,a))) = product(B,product(product(a,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(B,product(product(a,b),product(b,a))))]]) ).

cnf(refute_0_15954,plain,
    ( product(B,product(product(a,b),product(b,a))) != product(B,product(product(a,b),product(b,a)))
    | product(product(a,b),product(b,a)) != bigC(b,a,b)
    | product(B,product(product(a,b),product(b,a))) = product(B,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(product(a,b),product(b,a))),product(B,product(product(a,b),product(b,a)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_15955,plain,
    ( product(product(a,b),product(b,a)) != bigC(b,a,b)
    | product(B,product(product(a,b),product(b,a))) = product(B,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(B,product(product(a,b),product(b,a))),product(B,product(product(a,b),product(b,a)))) )],[refute_0_15953,refute_0_15954]) ).

cnf(refute_0_15956,plain,
    product(B,product(product(a,b),product(b,a))) = product(B,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,a)),bigC(b,a,b)) )],[refute_0_15230,refute_0_15955]) ).

cnf(refute_0_15957,plain,
    ( bigC(a,b,difference(product(b,a),B)) != product(B,product(product(a,b),product(b,a)))
    | product(B,product(product(a,b),product(b,a))) != product(B,bigC(b,a,b))
    | bigC(a,b,difference(product(b,a),B)) = product(B,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,difference(product(b,a),B)),product(B,bigC(b,a,b))) ),[0],$fot(product(B,product(product(a,b),product(b,a))))]]) ).

cnf(refute_0_15958,plain,
    ( bigC(a,b,difference(product(b,a),B)) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,b,difference(product(b,a),B)) = product(B,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(B,product(product(a,b),product(b,a))),product(B,bigC(b,a,b))) )],[refute_0_15956,refute_0_15957]) ).

cnf(refute_0_15959,plain,
    ( bigC(a,difference(product(b,a),B),b) != product(B,product(product(a,b),product(b,a)))
    | bigC(a,b,difference(product(b,a),B)) = product(B,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,difference(product(b,a),B)),product(B,product(product(a,b),product(b,a)))) )],[refute_0_15952,refute_0_15958]) ).

cnf(refute_0_15960,plain,
    bigC(a,b,difference(product(b,a),B)) = product(B,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,difference(product(b,a),B),b),product(B,product(product(a,b),product(b,a)))) )],[refute_0_15949,refute_0_15959]) ).

cnf(refute_0_15961,plain,
    bigC(a,b,difference(product(b,a),product(product(b,a),B))) = product(product(product(b,a),B),bigC(b,a,b)),
    inference(subst,[],[refute_0_15960:[bind(B,$fot(product(product(b,a),B)))]]) ).

cnf(refute_0_15962,plain,
    difference(product(b,a),product(product(b,a),B)) = B,
    inference(subst,[],[refute_0_9:[bind(A,$fot(product(b,a)))]]) ).

cnf(refute_0_15963,plain,
    ( bigC(a,b,difference(product(b,a),product(product(b,a),B))) != product(product(product(b,a),B),bigC(b,a,b))
    | difference(product(b,a),product(product(b,a),B)) != B
    | bigC(a,b,B) = product(product(product(b,a),B),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,b,difference(product(b,a),product(product(b,a),B))),product(product(product(b,a),B),bigC(b,a,b))) ),[0,2],$fot(B)]]) ).

cnf(refute_0_15964,plain,
    ( bigC(a,b,difference(product(b,a),product(product(b,a),B))) != product(product(product(b,a),B),bigC(b,a,b))
    | bigC(a,b,B) = product(product(product(b,a),B),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,a),B)),B) )],[refute_0_15962,refute_0_15963]) ).

cnf(refute_0_15965,plain,
    bigC(a,b,B) = product(product(product(b,a),B),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,difference(product(b,a),product(product(b,a),B))),product(product(product(b,a),B),bigC(b,a,b))) )],[refute_0_15961,refute_0_15964]) ).

cnf(refute_0_15966,plain,
    product(product(b,a),product(B,b)) = bigC(b,a,B),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(B))]]) ).

cnf(refute_0_15967,plain,
    product(B,product(b,b)) = product(B,product(b,b)),
    introduced(tautology,[refl,[$fot(product(B,product(b,b)))]]) ).

cnf(refute_0_15968,plain,
    ( product(B,product(b,b)) != product(B,product(b,b))
    | product(b,b) != b
    | product(B,product(b,b)) = product(B,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(b,b)),product(B,product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_15969,plain,
    ( product(b,b) != b
    | product(B,product(b,b)) = product(B,b) ),
    inference(resolve,[$cnf( $equal(product(B,product(b,b)),product(B,product(b,b))) )],[refute_0_15967,refute_0_15968]) ).

cnf(refute_0_15970,plain,
    product(B,product(b,b)) = product(B,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_3447,refute_0_15969]) ).

cnf(refute_0_15971,plain,
    product(product(b,a),product(B,product(b,b))) = product(product(b,a),product(B,product(b,b))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(B,product(b,b))))]]) ).

cnf(refute_0_15972,plain,
    ( product(B,product(b,b)) != product(B,b)
    | product(product(b,a),product(B,product(b,b))) != product(product(b,a),product(B,product(b,b)))
    | product(product(b,a),product(B,product(b,b))) = product(product(b,a),product(B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(B,product(b,b))),product(product(b,a),product(B,product(b,b)))) ),[1,1],$fot(product(B,b))]]) ).

cnf(refute_0_15973,plain,
    ( product(B,product(b,b)) != product(B,b)
    | product(product(b,a),product(B,product(b,b))) = product(product(b,a),product(B,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(B,product(b,b))),product(product(b,a),product(B,product(b,b)))) )],[refute_0_15971,refute_0_15972]) ).

cnf(refute_0_15974,plain,
    product(product(b,a),product(B,product(b,b))) = product(product(b,a),product(B,b)),
    inference(resolve,[$cnf( $equal(product(B,product(b,b)),product(B,b)) )],[refute_0_15970,refute_0_15973]) ).

cnf(refute_0_15975,plain,
    ( product(product(b,a),product(B,b)) != bigC(b,a,B)
    | product(product(b,a),product(B,product(b,b))) != product(product(b,a),product(B,b))
    | product(product(b,a),product(B,product(b,b))) = bigC(b,a,B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,a),product(B,product(b,b))))),bind(Y,$fot(product(product(b,a),product(B,b)))),bind(Z,$fot(bigC(b,a,B)))]]) ).

cnf(refute_0_15976,plain,
    ( product(product(b,a),product(B,b)) != bigC(b,a,B)
    | product(product(b,a),product(B,product(b,b))) = bigC(b,a,B) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(B,product(b,b))),product(product(b,a),product(B,b))) )],[refute_0_15974,refute_0_15975]) ).

cnf(refute_0_15977,plain,
    product(product(b,a),product(B,product(b,b))) = bigC(b,a,B),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(B,b)),bigC(b,a,B)) )],[refute_0_15966,refute_0_15976]) ).

cnf(refute_0_15978,plain,
    product(product(product(b,a),B),bigC(b,a,b)) = product(product(b,a),product(B,product(b,b))),
    inference(subst,[],[refute_0_3039:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(b)),bind(X_66,$fot(B))]]) ).

cnf(refute_0_15979,plain,
    ( product(product(b,a),product(B,product(b,b))) != bigC(b,a,B)
    | product(product(product(b,a),B),bigC(b,a,b)) != product(product(b,a),product(B,product(b,b)))
    | product(product(product(b,a),B),bigC(b,a,b)) = bigC(b,a,B) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,a),B),bigC(b,a,b)))),bind(Y,$fot(product(product(b,a),product(B,product(b,b))))),bind(Z,$fot(bigC(b,a,B)))]]) ).

cnf(refute_0_15980,plain,
    ( product(product(b,a),product(B,product(b,b))) != bigC(b,a,B)
    | product(product(product(b,a),B),bigC(b,a,b)) = bigC(b,a,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),bigC(b,a,b)),product(product(b,a),product(B,product(b,b)))) )],[refute_0_15978,refute_0_15979]) ).

cnf(refute_0_15981,plain,
    product(product(product(b,a),B),bigC(b,a,b)) = bigC(b,a,B),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(B,product(b,b))),bigC(b,a,B)) )],[refute_0_15977,refute_0_15980]) ).

cnf(refute_0_15982,plain,
    ( bigC(a,b,B) != product(product(product(b,a),B),bigC(b,a,b))
    | product(product(product(b,a),B),bigC(b,a,b)) != bigC(b,a,B)
    | bigC(a,b,B) = bigC(b,a,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,B),bigC(b,a,B)) ),[0],$fot(product(product(product(b,a),B),bigC(b,a,b)))]]) ).

cnf(refute_0_15983,plain,
    ( bigC(a,b,B) != product(product(product(b,a),B),bigC(b,a,b))
    | bigC(a,b,B) = bigC(b,a,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),bigC(b,a,b)),bigC(b,a,B)) )],[refute_0_15981,refute_0_15982]) ).

cnf(refute_0_15984,plain,
    bigC(a,b,B) = bigC(b,a,B),
    inference(resolve,[$cnf( $equal(bigC(a,b,B),product(product(product(b,a),B),bigC(b,a,b))) )],[refute_0_15965,refute_0_15983]) ).

cnf(refute_0_15985,plain,
    ( bigC(a,b,B) != bigC(b,a,B)
    | bigC(b,a,B) = bigC(a,b,B) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(bigC(a,b,B))),bind(Y,$fot(bigC(b,a,B)))]]) ).

cnf(refute_0_15986,plain,
    bigC(b,a,B) = bigC(a,b,B),
    inference(resolve,[$cnf( $equal(bigC(a,b,B),bigC(b,a,B)) )],[refute_0_15984,refute_0_15985]) ).

cnf(refute_0_15987,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_15988,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_15986,refute_0_15987]) ).

cnf(refute_0_15989,plain,
    bigC(b,B,a) = bigC(a,b,B),
    inference(resolve,[$cnf( $equal(bigC(b,B,a),bigC(b,a,B)) )],[refute_0_15942,refute_0_15988]) ).

cnf(refute_0_15990,plain,
    bigC(b,c,a) = bigC(a,b,c),
    inference(subst,[],[refute_0_15989:[bind(B,$fot(c))]]) ).

cnf(refute_0_15991,plain,
    ( bigC(a,b,c) != c
    | bigC(b,c,a) != bigC(a,b,c)
    | bigC(b,c,a) = c ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(b,c,a))),bind(Y,$fot(bigC(a,b,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15992,plain,
    ( bigC(a,b,c) != c
    | bigC(b,c,a) = c ),
    inference(resolve,[$cnf( $equal(bigC(b,c,a),bigC(a,b,c)) )],[refute_0_15990,refute_0_15991]) ).

cnf(refute_0_15993,plain,
    bigC(b,c,a) = c,
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1861,refute_0_15992]) ).

cnf(refute_0_15994,plain,
    product(bigC(b,c,a),product(X_18,c)) = product(bigC(b,c,a),product(X_18,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,a),product(X_18,c)))]]) ).

cnf(refute_0_15995,plain,
    ( bigC(b,c,a) != c
    | product(bigC(b,c,a),product(X_18,c)) != product(bigC(b,c,a),product(X_18,c))
    | product(bigC(b,c,a),product(X_18,c)) = product(c,product(X_18,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,a),product(X_18,c)),product(bigC(b,c,a),product(X_18,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15996,plain,
    ( bigC(b,c,a) != c
    | product(bigC(b,c,a),product(X_18,c)) = product(c,product(X_18,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,a),product(X_18,c)),product(bigC(b,c,a),product(X_18,c))) )],[refute_0_15994,refute_0_15995]) ).

cnf(refute_0_15997,plain,
    product(bigC(b,c,a),product(X_18,c)) = product(c,product(X_18,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,a),c) )],[refute_0_15993,refute_0_15996]) ).

cnf(refute_0_15998,plain,
    ( product(bigC(b,c,a),product(X_18,c)) != product(c,product(X_18,c))
    | product(c,product(X_18,c)) != bigC(c,c,X_18)
    | product(bigC(b,c,a),product(X_18,c)) = bigC(c,c,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(bigC(b,c,a),product(X_18,c)))),bind(Y,$fot(product(c,product(X_18,c)))),bind(Z,$fot(bigC(c,c,X_18)))]]) ).

cnf(refute_0_15999,plain,
    ( product(c,product(X_18,c)) != bigC(c,c,X_18)
    | product(bigC(b,c,a),product(X_18,c)) = bigC(c,c,X_18) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,a),product(X_18,c)),product(c,product(X_18,c))) )],[refute_0_15997,refute_0_15998]) ).

cnf(refute_0_16000,plain,
    product(bigC(b,c,a),product(X_18,c)) = bigC(c,c,X_18),
    inference(resolve,[$cnf( $equal(product(c,product(X_18,c)),bigC(c,c,X_18)) )],[refute_0_15941,refute_0_15999]) ).

cnf(refute_0_16001,plain,
    bigC(product(b,c),X_18,product(a,c)) = product(bigC(b,c,a),product(X_18,c)),
    inference(subst,[],[refute_0_5909:[bind(B,$fot(X_18)),bind(X_96,$fot(a)),bind(X_97,$fot(b)),bind(X_98,$fot(c))]]) ).

cnf(refute_0_16002,plain,
    ( bigC(product(b,c),X_18,product(a,c)) != product(bigC(b,c,a),product(X_18,c))
    | product(bigC(b,c,a),product(X_18,c)) != bigC(c,c,X_18)
    | bigC(product(b,c),X_18,product(a,c)) = bigC(c,c,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(product(b,c),X_18,product(a,c)))),bind(Y,$fot(product(bigC(b,c,a),product(X_18,c)))),bind(Z,$fot(bigC(c,c,X_18)))]]) ).

cnf(refute_0_16003,plain,
    ( product(bigC(b,c,a),product(X_18,c)) != bigC(c,c,X_18)
    | bigC(product(b,c),X_18,product(a,c)) = bigC(c,c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,product(a,c)),product(bigC(b,c,a),product(X_18,c))) )],[refute_0_16001,refute_0_16002]) ).

cnf(refute_0_16004,plain,
    bigC(product(b,c),X_18,product(a,c)) = bigC(c,c,X_18),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,a),product(X_18,c)),bigC(c,c,X_18)) )],[refute_0_16000,refute_0_16003]) ).

cnf(refute_0_16005,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)))]]) ).

cnf(refute_0_16006,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != bigC(difference(product(a,c),product(c,product(c,b))),X_18,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_18,product(a,c)) = bigC(product(b,c),X_18,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_16007,plain,
    ( difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(product(b,c),X_18,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c))) )],[refute_0_16005,refute_0_16006]) ).

cnf(refute_0_16008,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(product(b,c),X_18,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_15937,refute_0_16007]) ).

cnf(refute_0_16009,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != bigC(product(b,c),X_18,product(a,c))
    | bigC(product(b,c),X_18,product(a,c)) != bigC(c,c,X_18)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(c,c,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)))),bind(Y,$fot(bigC(product(b,c),X_18,product(a,c)))),bind(Z,$fot(bigC(c,c,X_18)))]]) ).

cnf(refute_0_16010,plain,
    ( bigC(product(b,c),X_18,product(a,c)) != bigC(c,c,X_18)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(c,c,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),bigC(product(b,c),X_18,product(a,c))) )],[refute_0_16008,refute_0_16009]) ).

cnf(refute_0_16011,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) = bigC(c,c,X_18),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_18,product(a,c)),bigC(c,c,X_18)) )],[refute_0_16004,refute_0_16010]) ).

cnf(refute_0_16012,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != bigC(c,c,X_18)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != product(product(product(b,c),X_18),product(c,product(c,b)))
    | bigC(c,c,X_18) = product(product(product(b,c),X_18),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),product(product(product(b,c),X_18),product(c,product(c,b)))) ),[0],$fot(bigC(c,c,X_18))]]) ).

cnf(refute_0_16013,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != product(product(product(b,c),X_18),product(c,product(c,b)))
    | bigC(c,c,X_18) = product(product(product(b,c),X_18),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),bigC(c,c,X_18)) )],[refute_0_16011,refute_0_16012]) ).

cnf(refute_0_16014,plain,
    bigC(b,X_18,a) = bigC(a,b,X_18),
    inference(subst,[],[refute_0_15989:[bind(B,$fot(X_18))]]) ).

cnf(refute_0_16015,plain,
    product(product(b,X_18),product(a,b)) = bigC(b,X_18,a),
    inference(subst,[],[refute_0_117:[bind(A,$fot(b)),bind(B,$fot(X_18)),bind(C,$fot(a))]]) ).

cnf(refute_0_16016,plain,
    ( bigC(b,X_18,a) != bigC(a,b,X_18)
    | product(product(b,X_18),product(a,b)) != bigC(b,X_18,a)
    | product(product(b,X_18),product(a,b)) = bigC(a,b,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,X_18),product(a,b)))),bind(Y,$fot(bigC(b,X_18,a))),bind(Z,$fot(bigC(a,b,X_18)))]]) ).

cnf(refute_0_16017,plain,
    ( bigC(b,X_18,a) != bigC(a,b,X_18)
    | product(product(b,X_18),product(a,b)) = bigC(a,b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),product(a,b)),bigC(b,X_18,a)) )],[refute_0_16015,refute_0_16016]) ).

cnf(refute_0_16018,plain,
    product(product(b,X_18),product(a,b)) = bigC(a,b,X_18),
    inference(resolve,[$cnf( $equal(bigC(b,X_18,a),bigC(a,b,X_18)) )],[refute_0_16014,refute_0_16017]) ).

cnf(refute_0_16019,plain,
    product(product(b,product(a,c)),product(X_18,product(c,b))) = product(product(b,X_18),product(a,b)),
    inference(subst,[],[refute_0_830:[bind(X_23,$fot(b)),bind(X_24,$fot(X_18))]]) ).

cnf(refute_0_16020,plain,
    ( product(product(b,X_18),product(a,b)) != bigC(a,b,X_18)
    | product(product(b,product(a,c)),product(X_18,product(c,b))) != product(product(b,X_18),product(a,b))
    | product(product(b,product(a,c)),product(X_18,product(c,b))) = bigC(a,b,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(b,product(a,c)),product(X_18,product(c,b))))),bind(Y,$fot(product(product(b,X_18),product(a,b)))),bind(Z,$fot(bigC(a,b,X_18)))]]) ).

cnf(refute_0_16021,plain,
    ( product(product(b,X_18),product(a,b)) != bigC(a,b,X_18)
    | product(product(b,product(a,c)),product(X_18,product(c,b))) = bigC(a,b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_18,product(c,b))),product(product(b,X_18),product(a,b))) )],[refute_0_16019,refute_0_16020]) ).

cnf(refute_0_16022,plain,
    product(product(b,product(a,c)),product(X_18,product(c,b))) = bigC(a,b,X_18),
    inference(resolve,[$cnf( $equal(product(product(b,X_18),product(a,b)),bigC(a,b,X_18)) )],[refute_0_16018,refute_0_16021]) ).

cnf(refute_0_16023,plain,
    product(product(product(b,c),X_18),product(c,product(c,b))) = product(product(b,product(a,c)),product(X_18,product(c,b))),
    inference(subst,[],[refute_0_10372:[bind(B,$fot(X_18)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_16024,plain,
    ( product(product(b,product(a,c)),product(X_18,product(c,b))) != bigC(a,b,X_18)
    | product(product(product(b,c),X_18),product(c,product(c,b))) != product(product(b,product(a,c)),product(X_18,product(c,b)))
    | product(product(product(b,c),X_18),product(c,product(c,b))) = bigC(a,b,X_18) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(product(product(product(b,c),X_18),product(c,product(c,b))))),bind(Y,$fot(product(product(b,product(a,c)),product(X_18,product(c,b))))),bind(Z,$fot(bigC(a,b,X_18)))]]) ).

cnf(refute_0_16025,plain,
    ( product(product(b,product(a,c)),product(X_18,product(c,b))) != bigC(a,b,X_18)
    | product(product(product(b,c),X_18),product(c,product(c,b))) = bigC(a,b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_18),product(c,product(c,b))),product(product(b,product(a,c)),product(X_18,product(c,b)))) )],[refute_0_16023,refute_0_16024]) ).

cnf(refute_0_16026,plain,
    product(product(product(b,c),X_18),product(c,product(c,b))) = bigC(a,b,X_18),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_18,product(c,b))),bigC(a,b,X_18)) )],[refute_0_16022,refute_0_16025]) ).

cnf(refute_0_16027,plain,
    ( bigC(c,c,X_18) != product(product(product(b,c),X_18),product(c,product(c,b)))
    | product(product(product(b,c),X_18),product(c,product(c,b))) != bigC(a,b,X_18)
    | bigC(c,c,X_18) = bigC(a,b,X_18) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,X_18),bigC(a,b,X_18)) ),[0],$fot(product(product(product(b,c),X_18),product(c,product(c,b))))]]) ).

cnf(refute_0_16028,plain,
    ( bigC(c,c,X_18) != product(product(product(b,c),X_18),product(c,product(c,b)))
    | bigC(c,c,X_18) = bigC(a,b,X_18) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_18),product(c,product(c,b))),bigC(a,b,X_18)) )],[refute_0_16026,refute_0_16027]) ).

cnf(refute_0_16029,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)) != product(product(product(b,c),X_18),product(c,product(c,b)))
    | bigC(c,c,X_18) = bigC(a,b,X_18) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,X_18),product(product(product(b,c),X_18),product(c,product(c,b)))) )],[refute_0_16013,refute_0_16028]) ).

cnf(refute_0_16030,plain,
    bigC(c,c,X_18) = bigC(a,b,X_18),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_18,product(a,c)),product(product(product(b,c),X_18),product(c,product(c,b)))) )],[refute_0_15940,refute_0_16029]) ).

cnf(refute_0_16031,plain,
    bigC(c,c,skolemFOFtoCNF_X0) = bigC(a,b,skolemFOFtoCNF_X0),
    inference(subst,[],[refute_0_16030:[bind(X_18,$fot(skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_16032,plain,
    ( bigC(a,b,skolemFOFtoCNF_X0) != bigC(a,b,skolemFOFtoCNF_X0)
    | bigC(c,c,skolemFOFtoCNF_X0) != bigC(a,b,skolemFOFtoCNF_X0)
    | bigC(a,b,skolemFOFtoCNF_X0) = bigC(c,c,skolemFOFtoCNF_X0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,skolemFOFtoCNF_X0),bigC(c,c,skolemFOFtoCNF_X0)) ),[1],$fot(bigC(a,b,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_16033,plain,
    ( bigC(a,b,skolemFOFtoCNF_X0) != bigC(a,b,skolemFOFtoCNF_X0)
    | bigC(a,b,skolemFOFtoCNF_X0) = bigC(c,c,skolemFOFtoCNF_X0) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,skolemFOFtoCNF_X0),bigC(a,b,skolemFOFtoCNF_X0)) )],[refute_0_16031,refute_0_16032]) ).

cnf(refute_0_16034,plain,
    bigC(a,b,skolemFOFtoCNF_X0) != bigC(a,b,skolemFOFtoCNF_X0),
    inference(resolve,[$cnf( $equal(bigC(a,b,skolemFOFtoCNF_X0),bigC(c,c,skolemFOFtoCNF_X0)) )],[refute_0_16033,refute_0_0]) ).

cnf(refute_0_16035,plain,
    bigC(a,b,skolemFOFtoCNF_X0) = bigC(a,b,skolemFOFtoCNF_X0),
    introduced(tautology,[refl,[$fot(bigC(a,b,skolemFOFtoCNF_X0))]]) ).

cnf(refute_0_16036,plain,
    $false,
    inference(resolve,[$cnf( $equal(bigC(a,b,skolemFOFtoCNF_X0),bigC(a,b,skolemFOFtoCNF_X0)) )],[refute_0_16035,refute_0_16034]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GRP777+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.15  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun 13 08:05:24 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 42.62/42.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.62/42.83  
% 42.62/42.83  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 45.81/45.98  
%------------------------------------------------------------------------------