%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 10:42:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 151
% Syntax : Number of clauses : 628 ( 323 unt; 0 nHn; 302 RR)
% Number of literals : 1069 (1068 equ; 444 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1463 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(identity,B)) ).
cnf(inverse,axiom,
inverse(A) = divide(identity,A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_4,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = divide(divide(identity,A),divide(divide(divide(B,A),C),B)),
introduced(tautology,[refl,[$fot(divide(divide(identity,A),divide(divide(divide(B,A),C),B)))]]) ).
cnf(refute_0_6,plain,
( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) != divide(divide(identity,A),divide(divide(divide(B,A),C),B))
| divide(identity,A) != inverse(A)
| divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = divide(inverse(A),divide(divide(divide(B,A),C),B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,A),divide(divide(divide(B,A),C),B)),divide(divide(identity,A),divide(divide(divide(B,A),C),B))) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_7,plain,
( divide(identity,A) != inverse(A)
| divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = divide(inverse(A),divide(divide(divide(B,A),C),B)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),divide(divide(divide(B,A),C),B)),divide(divide(identity,A),divide(divide(divide(B,A),C),B))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = divide(inverse(A),divide(divide(divide(B,A),C),B)),
inference(resolve,[$cnf( $equal(divide(identity,A),inverse(A)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) != C
| divide(divide(identity,A),divide(divide(divide(B,A),C),B)) != divide(inverse(A),divide(divide(divide(B,A),C),B))
| divide(inverse(A),divide(divide(divide(B,A),C),B)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,A),divide(divide(divide(B,A),C),B)),C) ),[0],$fot(divide(inverse(A),divide(divide(divide(B,A),C),B)))]]) ).
cnf(refute_0_10,plain,
( divide(divide(identity,A),divide(divide(divide(B,A),C),B)) != C
| divide(inverse(A),divide(divide(divide(B,A),C),B)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),divide(divide(divide(B,A),C),B)),divide(inverse(A),divide(divide(divide(B,A),C),B))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
divide(inverse(A),divide(divide(divide(B,A),C),B)) = C,
inference(resolve,[$cnf( $equal(divide(divide(identity,A),divide(divide(divide(B,A),C),B)),C) )],[single_axiom,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) = divide(X_8,X_7),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(divide(X_8,X_7)))]]) ).
cnf(refute_0_13,plain,
identity = divide(divide(X_8,X_7),divide(X_8,X_7)),
inference(subst,[],[identity:[bind(A,$fot(divide(X_8,X_7)))]]) ).
cnf(refute_0_14,plain,
( identity != divide(divide(X_8,X_7),divide(X_8,X_7))
| divide(divide(X_8,X_7),divide(X_8,X_7)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(X_8,X_7),divide(X_8,X_7))))]]) ).
cnf(refute_0_15,plain,
divide(divide(X_8,X_7),divide(X_8,X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(X_8,X_7),divide(X_8,X_7))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( divide(divide(X_8,X_7),divide(X_8,X_7)) != identity
| divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) != divide(X_8,X_7)
| divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)),divide(X_8,X_7)) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_17,plain,
( divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)) != divide(X_8,X_7)
| divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_7),divide(X_8,X_7)),identity) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(X_8,X_7),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),divide(X_8,X_7)),X_8)),divide(X_8,X_7)) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_20,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_21,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_22,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_25,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_25]) ).
cnf(refute_0_27,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_28,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(inverse(X_7),inverse(X_8)) = multiply(inverse(X_7),X_8),
inference(subst,[],[refute_0_28:[bind(A,$fot(inverse(X_7))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_30,plain,
divide(identity,X_8) = inverse(X_8),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_31,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),divide(identity,X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),divide(identity,X_8)))]]) ).
cnf(refute_0_32,plain,
( divide(identity,X_8) != inverse(X_8)
| divide(inverse(X_7),divide(identity,X_8)) != divide(inverse(X_7),divide(identity,X_8))
| divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),divide(identity,X_8))) ),[1,1],$fot(inverse(X_8))]]) ).
cnf(refute_0_33,plain,
( divide(identity,X_8) != inverse(X_8)
| divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),divide(identity,X_8))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(inverse(X_7),divide(identity,X_8)) = divide(inverse(X_7),inverse(X_8)),
inference(resolve,[$cnf( $equal(divide(identity,X_8),inverse(X_8)) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_36,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_35]) ).
cnf(refute_0_37,plain,
( divide(inverse(X_7),divide(identity,X_8)) != divide(inverse(X_7),inverse(X_8))
| divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(inverse(X_7),divide(identity,X_8)))),bind(Y,$fot(divide(inverse(X_7),inverse(X_8)))),bind(Z,$fot(multiply(inverse(X_7),X_8)))]]) ).
cnf(refute_0_38,plain,
( divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(inverse(X_7),inverse(X_8))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(inverse(X_7),divide(identity,X_8)) = multiply(inverse(X_7),X_8),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_8)),multiply(inverse(X_7),X_8)) )],[refute_0_29,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(inverse(X_7),divide(identity,X_8)) != multiply(inverse(X_7),X_8)
| divide(inverse(X_7),divide(identity,X_8)) != divide(X_8,X_7)
| multiply(inverse(X_7),X_8) = divide(X_8,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(X_8,X_7)) ),[0],$fot(multiply(inverse(X_7),X_8))]]) ).
cnf(refute_0_41,plain,
( divide(inverse(X_7),divide(identity,X_8)) != divide(X_8,X_7)
| multiply(inverse(X_7),X_8) = divide(X_8,X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),multiply(inverse(X_7),X_8)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(inverse(X_7),X_8) = divide(X_8,X_7),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(identity,X_8)),divide(X_8,X_7)) )],[refute_0_18,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(inverse(X_11)),X_21) = divide(X_21,inverse(X_11)),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(inverse(X_11))),bind(X_8,$fot(X_21))]]) ).
cnf(refute_0_44,plain,
divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_11:[bind(A,$fot(identity)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_45,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_46,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_47,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_48,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_49,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_51,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_54,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_56,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_45,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(X_8,identity) = divide(X_8,identity),
inference(subst,[],[refute_0_57:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_59,plain,
( multiply(X_8,identity) != divide(X_8,identity)
| divide(X_8,identity) = multiply(X_8,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_8,identity))),bind(Y,$fot(divide(X_8,identity)))]]) ).
cnf(refute_0_60,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(resolve,[$cnf( $equal(multiply(X_8,identity),divide(X_8,identity)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(X_8,identity) != multiply(X_8,identity)
| divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)),X_9) ),[0,1,0,0],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_62,plain,
( divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(divide(X_8,identity),X_9),X_8)),X_9) )],[refute_0_44,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_65,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_66,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))
| inverse(identity) != identity
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_67,plain,
( inverse(identity) != identity
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_54,refute_0_67]) ).
cnf(refute_0_69,plain,
( divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)))),bind(Y,$fot(divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)))),bind(Z,$fot(inverse(divide(divide(multiply(X_8,identity),X_9),X_8))))]]) ).
cnf(refute_0_70,plain,
( divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_64,refute_0_70]) ).
cnf(refute_0_72,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) ),[0],$fot(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_73,plain,
( divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(identity),divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) )],[refute_0_63,refute_0_73]) ).
cnf(refute_0_75,plain,
inverse(divide(divide(multiply(identity,identity),X_11),identity)) = X_11,
inference(subst,[],[refute_0_74:[bind(X_8,$fot(identity)),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_76,plain,
inverse(inverse(X_3)) = divide(identity,inverse(X_3)),
inference(subst,[],[inverse:[bind(A,$fot(inverse(X_3)))]]) ).
cnf(refute_0_77,plain,
multiply(identity,X_3) = divide(identity,inverse(X_3)),
inference(subst,[],[refute_0_26:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_78,plain,
( multiply(identity,X_3) != divide(identity,inverse(X_3))
| divide(identity,inverse(X_3)) = multiply(identity,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(identity,X_3))),bind(Y,$fot(divide(identity,inverse(X_3))))]]) ).
cnf(refute_0_79,plain,
divide(identity,inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),divide(identity,inverse(X_3))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( divide(identity,inverse(X_3)) != multiply(identity,X_3)
| inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) ),[1],$fot(multiply(identity,X_3))]]) ).
cnf(refute_0_81,plain,
( inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_3)),multiply(identity,X_3)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
inverse(inverse(identity)) = multiply(identity,identity),
inference(subst,[],[refute_0_82:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_84,plain,
( inverse(inverse(identity)) != multiply(identity,identity)
| multiply(identity,identity) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(multiply(identity,identity)))]]) ).
cnf(refute_0_85,plain,
multiply(identity,identity) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),multiply(identity,identity)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| inverse(divide(divide(multiply(identity,identity),X_11),identity)) != X_11
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(identity,identity),X_11),identity)),X_11) ),[0,0,0,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_87,plain,
( inverse(divide(divide(multiply(identity,identity),X_11),identity)) != X_11
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = X_11,
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(identity,identity),X_11),identity)),X_11) )],[refute_0_75,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(identity,X_11) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_90,plain,
multiply(inverse(X_11),identity) = divide(identity,X_11),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(X_11)),bind(X_8,$fot(identity))]]) ).
cnf(refute_0_91,plain,
( multiply(inverse(X_11),identity) != divide(identity,X_11)
| divide(identity,X_11) != inverse(X_11)
| multiply(inverse(X_11),identity) = inverse(X_11) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(inverse(X_11),identity))),bind(Y,$fot(divide(identity,X_11))),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_92,plain,
( divide(identity,X_11) != inverse(X_11)
| multiply(inverse(X_11),identity) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),divide(identity,X_11)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(inverse(X_11),identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(divide(identity,X_11),inverse(X_11)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_95,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_96,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_54,refute_0_96]) ).
cnf(refute_0_98,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_99,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_54,refute_0_99]) ).
cnf(refute_0_101,plain,
divide(inverse(inverse(identity)),X_11) = divide(inverse(inverse(identity)),X_11),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(identity)),X_11))]]) ).
cnf(refute_0_102,plain,
( divide(inverse(inverse(identity)),X_11) != divide(inverse(inverse(identity)),X_11)
| inverse(inverse(identity)) != identity
| divide(inverse(inverse(identity)),X_11) = divide(identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(identity)),X_11),divide(inverse(inverse(identity)),X_11)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_103,plain,
( inverse(inverse(identity)) != identity
| divide(inverse(inverse(identity)),X_11) = divide(identity,X_11) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_11),divide(inverse(inverse(identity)),X_11)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(inverse(inverse(identity)),X_11) = divide(identity,X_11),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( divide(identity,X_11) != inverse(X_11)
| divide(inverse(inverse(identity)),X_11) != divide(identity,X_11)
| divide(inverse(inverse(identity)),X_11) = inverse(X_11) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(inverse(inverse(identity)),X_11))),bind(Y,$fot(divide(identity,X_11))),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_106,plain,
( divide(identity,X_11) != inverse(X_11)
| divide(inverse(inverse(identity)),X_11) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_11),divide(identity,X_11)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(inverse(inverse(identity)),X_11) = inverse(X_11),
inference(resolve,[$cnf( $equal(divide(identity,X_11),inverse(X_11)) )],[refute_0_89,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(divide(inverse(inverse(identity)),X_11),identity) = multiply(divide(inverse(inverse(identity)),X_11),identity),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(inverse(identity)),X_11),identity))]]) ).
cnf(refute_0_109,plain,
( multiply(divide(inverse(inverse(identity)),X_11),identity) != multiply(divide(inverse(inverse(identity)),X_11),identity)
| divide(inverse(inverse(identity)),X_11) != inverse(X_11)
| multiply(divide(inverse(inverse(identity)),X_11),identity) = multiply(inverse(X_11),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(identity)),X_11),identity),multiply(divide(inverse(inverse(identity)),X_11),identity)) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_110,plain,
( divide(inverse(inverse(identity)),X_11) != inverse(X_11)
| multiply(divide(inverse(inverse(identity)),X_11),identity) = multiply(inverse(X_11),identity) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(identity)),X_11),identity),multiply(divide(inverse(inverse(identity)),X_11),identity)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(divide(inverse(inverse(identity)),X_11),identity) = multiply(inverse(X_11),identity),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(identity)),X_11),inverse(X_11)) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(divide(inverse(inverse(identity)),X_11),identity) != multiply(inverse(X_11),identity)
| multiply(inverse(X_11),identity) != inverse(X_11)
| multiply(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(divide(inverse(inverse(identity)),X_11),identity))),bind(Y,$fot(multiply(inverse(X_11),identity))),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_113,plain,
( multiply(inverse(X_11),identity) != inverse(X_11)
| multiply(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(identity)),X_11),identity),multiply(inverse(X_11),identity)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),inverse(X_11)) )],[refute_0_93,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_116,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_57,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(divide(inverse(inverse(identity)),X_11),identity) = multiply(divide(inverse(inverse(identity)),X_11),identity),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(divide(inverse(inverse(identity)),X_11)))]]) ).
cnf(refute_0_118,plain,
( multiply(divide(inverse(inverse(identity)),X_11),identity) != inverse(X_11)
| divide(divide(inverse(inverse(identity)),X_11),identity) != multiply(divide(inverse(inverse(identity)),X_11),identity)
| divide(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(divide(inverse(inverse(identity)),X_11),identity))),bind(Y,$fot(multiply(divide(inverse(inverse(identity)),X_11),identity))),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_119,plain,
( multiply(divide(inverse(inverse(identity)),X_11),identity) != inverse(X_11)
| divide(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(identity)),X_11),identity),multiply(divide(inverse(inverse(identity)),X_11),identity)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(divide(inverse(inverse(identity)),X_11),identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(identity)),X_11),identity),inverse(X_11)) )],[refute_0_114,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)))]]) ).
cnf(refute_0_122,plain,
( divide(divide(inverse(inverse(identity)),X_11),identity) != inverse(X_11)
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) != inverse(divide(divide(inverse(inverse(identity)),X_11),identity))
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = inverse(inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),inverse(divide(divide(inverse(inverse(identity)),X_11),identity))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_123,plain,
( divide(divide(inverse(inverse(identity)),X_11),identity) != inverse(X_11)
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = inverse(inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),inverse(divide(divide(inverse(inverse(identity)),X_11),identity))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) = inverse(inverse(X_11)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(inverse(identity)),X_11),identity),inverse(X_11)) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) != X_11
| inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) != inverse(inverse(X_11))
| inverse(inverse(X_11)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),X_11) ),[0],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_126,plain,
( inverse(divide(divide(inverse(inverse(identity)),X_11),identity)) != X_11
| inverse(inverse(X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),inverse(inverse(X_11))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
inverse(inverse(X_11)) = X_11,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(inverse(identity)),X_11),identity)),X_11) )],[refute_0_88,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(inverse(inverse(X_11)),X_21) != divide(X_21,inverse(X_11))
| inverse(inverse(X_11)) != X_11
| multiply(X_11,X_21) = divide(X_21,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),X_21),divide(X_21,inverse(X_11))) ),[0,0],$fot(X_11)]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(inverse(X_11)),X_21) != divide(X_21,inverse(X_11))
| multiply(X_11,X_21) = divide(X_21,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(X_11,X_21) = divide(X_21,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),X_21),divide(X_21,inverse(X_11))) )],[refute_0_43,refute_0_129]) ).
cnf(refute_0_131,plain,
divide(X_21,inverse(X_11)) = multiply(X_21,X_11),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_21)),bind(B,$fot(X_11))]]) ).
cnf(refute_0_132,plain,
( multiply(X_11,X_21) != divide(X_21,inverse(X_11))
| divide(X_21,inverse(X_11)) != multiply(X_21,X_11)
| multiply(X_11,X_21) = multiply(X_21,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,X_21),multiply(X_21,X_11)) ),[0],$fot(divide(X_21,inverse(X_11)))]]) ).
cnf(refute_0_133,plain,
( multiply(X_11,X_21) != divide(X_21,inverse(X_11))
| multiply(X_11,X_21) = multiply(X_21,X_11) ),
inference(resolve,[$cnf( $equal(divide(X_21,inverse(X_11)),multiply(X_21,X_11)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_11,X_21) = multiply(X_21,X_11),
inference(resolve,[$cnf( $equal(multiply(X_11,X_21),divide(X_21,inverse(X_11))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
( multiply(X_11,X_21) != multiply(X_21,X_11)
| multiply(X_21,X_11) = multiply(X_11,X_21) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_11,X_21))),bind(Y,$fot(multiply(X_21,X_11)))]]) ).
cnf(refute_0_136,plain,
multiply(X_21,X_11) = multiply(X_11,X_21),
inference(resolve,[$cnf( $equal(multiply(X_11,X_21),multiply(X_21,X_11)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_136:[bind(X_11,$fot(c3)),bind(X_21,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_138,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_139,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_139,prove_these_axioms_3]) ).
cnf(refute_0_141,plain,
multiply(A,multiply(X_60,X_59)) = divide(A,inverse(multiply(X_60,X_59))),
inference(subst,[],[refute_0_26:[bind(B,$fot(multiply(X_60,X_59)))]]) ).
cnf(refute_0_142,plain,
multiply(inverse(X_7),inverse(X_46)) = divide(inverse(X_46),X_7),
inference(subst,[],[refute_0_42:[bind(X_8,$fot(inverse(X_46)))]]) ).
cnf(refute_0_143,plain,
multiply(A,inverse(X_12)) = divide(A,inverse(inverse(X_12))),
inference(subst,[],[refute_0_26:[bind(B,$fot(inverse(X_12)))]]) ).
cnf(refute_0_144,plain,
inverse(inverse(X_12)) = X_12,
inference(subst,[],[refute_0_127:[bind(X_11,$fot(X_12))]]) ).
cnf(refute_0_145,plain,
( multiply(A,inverse(X_12)) != divide(A,inverse(inverse(X_12)))
| inverse(inverse(X_12)) != X_12
| multiply(A,inverse(X_12)) = divide(A,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_12)),divide(A,inverse(inverse(X_12)))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_146,plain,
( multiply(A,inverse(X_12)) != divide(A,inverse(inverse(X_12)))
| multiply(A,inverse(X_12)) = divide(A,X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(A,inverse(X_12)) = divide(A,X_12),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_12)),divide(A,inverse(inverse(X_12)))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(inverse(X_7),inverse(X_46)) = divide(inverse(X_7),X_46),
inference(subst,[],[refute_0_147:[bind(A,$fot(inverse(X_7))),bind(X_12,$fot(X_46))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(X_7),inverse(X_46)) != divide(inverse(X_46),X_7)
| multiply(inverse(X_7),inverse(X_46)) != divide(inverse(X_7),X_46)
| divide(inverse(X_7),X_46) = divide(inverse(X_46),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),inverse(X_46)),divide(inverse(X_46),X_7)) ),[0],$fot(divide(inverse(X_7),X_46))]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(X_7),inverse(X_46)) != divide(inverse(X_46),X_7)
| divide(inverse(X_7),X_46) = divide(inverse(X_46),X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),inverse(X_46)),divide(inverse(X_7),X_46)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(inverse(X_7),X_46) = divide(inverse(X_46),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),inverse(X_46)),divide(inverse(X_46),X_7)) )],[refute_0_142,refute_0_150]) ).
cnf(refute_0_152,plain,
inverse(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))) = X_11,
inference(subst,[],[refute_0_74:[bind(X_8,$fot(inverse(B))),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_153,plain,
multiply(divide(multiply(inverse(B),identity),X_11),B) = divide(divide(multiply(inverse(B),identity),X_11),inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(divide(multiply(inverse(B),identity),X_11)))]]) ).
cnf(refute_0_154,plain,
( multiply(divide(multiply(inverse(B),identity),X_11),B) != divide(divide(multiply(inverse(B),identity),X_11),inverse(B))
| divide(divide(multiply(inverse(B),identity),X_11),inverse(B)) = multiply(divide(multiply(inverse(B),identity),X_11),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(multiply(inverse(B),identity),X_11),B))),bind(Y,$fot(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))))]]) ).
cnf(refute_0_155,plain,
divide(divide(multiply(inverse(B),identity),X_11),inverse(B)) = multiply(divide(multiply(inverse(B),identity),X_11),B),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),identity),X_11),B),divide(divide(multiply(inverse(B),identity),X_11),inverse(B))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( divide(divide(multiply(inverse(B),identity),X_11),inverse(B)) != multiply(divide(multiply(inverse(B),identity),X_11),B)
| inverse(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))) != X_11
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))),X_11) ),[0,0],$fot(multiply(divide(multiply(inverse(B),identity),X_11),B))]]) ).
cnf(refute_0_157,plain,
( inverse(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))) != X_11
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = X_11 ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(inverse(B),identity),X_11),inverse(B)),multiply(divide(multiply(inverse(B),identity),X_11),B)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = X_11,
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(inverse(B),identity),X_11),inverse(B))),X_11) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(divide(divide(multiply(X_10,identity),multiply(X_10,identity)),X_10)) = multiply(X_10,identity),
inference(subst,[],[refute_0_74:[bind(X_8,$fot(X_10)),bind(X_9,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_160,plain,
identity = divide(multiply(X_10,identity),multiply(X_10,identity)),
inference(subst,[],[identity:[bind(A,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_161,plain,
( identity != divide(multiply(X_10,identity),multiply(X_10,identity))
| divide(multiply(X_10,identity),multiply(X_10,identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(multiply(X_10,identity),multiply(X_10,identity))))]]) ).
cnf(refute_0_162,plain,
divide(multiply(X_10,identity),multiply(X_10,identity)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_10,identity),multiply(X_10,identity))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( divide(multiply(X_10,identity),multiply(X_10,identity)) != identity
| inverse(divide(divide(multiply(X_10,identity),multiply(X_10,identity)),X_10)) != multiply(X_10,identity)
| inverse(divide(identity,X_10)) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(X_10,identity),multiply(X_10,identity)),X_10)),multiply(X_10,identity)) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_164,plain,
( inverse(divide(divide(multiply(X_10,identity),multiply(X_10,identity)),X_10)) != multiply(X_10,identity)
| inverse(divide(identity,X_10)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_10,identity),multiply(X_10,identity)),identity) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(divide(identity,X_10)) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_10,identity),multiply(X_10,identity)),X_10)),multiply(X_10,identity)) )],[refute_0_159,refute_0_164]) ).
cnf(refute_0_166,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_127:[bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_167,plain,
divide(identity,X_10) = inverse(X_10),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_168,plain,
inverse(divide(identity,X_10)) = inverse(divide(identity,X_10)),
introduced(tautology,[refl,[$fot(inverse(divide(identity,X_10)))]]) ).
cnf(refute_0_169,plain,
( divide(identity,X_10) != inverse(X_10)
| inverse(divide(identity,X_10)) != inverse(divide(identity,X_10))
| inverse(divide(identity,X_10)) = inverse(inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_10)),inverse(divide(identity,X_10))) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_170,plain,
( divide(identity,X_10) != inverse(X_10)
| inverse(divide(identity,X_10)) = inverse(inverse(X_10)) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_10)),inverse(divide(identity,X_10))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(divide(identity,X_10)) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(divide(identity,X_10),inverse(X_10)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( inverse(divide(identity,X_10)) != inverse(inverse(X_10))
| inverse(inverse(X_10)) != X_10
| inverse(divide(identity,X_10)) = X_10 ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(divide(identity,X_10)))),bind(Y,$fot(inverse(inverse(X_10)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_173,plain,
( inverse(inverse(X_10)) != X_10
| inverse(divide(identity,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_10)),inverse(inverse(X_10))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(divide(identity,X_10)) = X_10,
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_166,refute_0_173]) ).
cnf(refute_0_175,plain,
( inverse(divide(identity,X_10)) != X_10
| inverse(divide(identity,X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,X_10)),multiply(X_10,identity)) ),[0],$fot(X_10)]]) ).
cnf(refute_0_176,plain,
( inverse(divide(identity,X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_10)),X_10) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
X_10 = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(divide(identity,X_10)),multiply(X_10,identity)) )],[refute_0_165,refute_0_176]) ).
cnf(refute_0_178,plain,
( X_10 != multiply(X_10,identity)
| multiply(X_10,identity) = X_10 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_10)),bind(Y,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_179,plain,
multiply(X_10,identity) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(X_10,identity)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(inverse(B),identity) = inverse(B),
inference(subst,[],[refute_0_179:[bind(X_10,$fot(inverse(B)))]]) ).
cnf(refute_0_181,plain,
divide(multiply(inverse(B),identity),X_11) = divide(multiply(inverse(B),identity),X_11),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(B),identity),X_11))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(B),identity) != inverse(B)
| divide(multiply(inverse(B),identity),X_11) != divide(multiply(inverse(B),identity),X_11)
| divide(multiply(inverse(B),identity),X_11) = divide(inverse(B),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),identity),X_11),divide(multiply(inverse(B),identity),X_11)) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(B),identity) != inverse(B)
| divide(multiply(inverse(B),identity),X_11) = divide(inverse(B),X_11) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),identity),X_11),divide(multiply(inverse(B),identity),X_11)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(multiply(inverse(B),identity),X_11) = divide(inverse(B),X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(B),identity),inverse(B)) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(divide(multiply(inverse(B),identity),X_11),B) = multiply(divide(multiply(inverse(B),identity),X_11),B),
introduced(tautology,[refl,[$fot(multiply(divide(multiply(inverse(B),identity),X_11),B))]]) ).
cnf(refute_0_186,plain,
( multiply(divide(multiply(inverse(B),identity),X_11),B) != multiply(divide(multiply(inverse(B),identity),X_11),B)
| divide(multiply(inverse(B),identity),X_11) != divide(inverse(B),X_11)
| multiply(divide(multiply(inverse(B),identity),X_11),B) = multiply(divide(inverse(B),X_11),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(inverse(B),identity),X_11),B),multiply(divide(multiply(inverse(B),identity),X_11),B)) ),[1,0],$fot(divide(inverse(B),X_11))]]) ).
cnf(refute_0_187,plain,
( divide(multiply(inverse(B),identity),X_11) != divide(inverse(B),X_11)
| multiply(divide(multiply(inverse(B),identity),X_11),B) = multiply(divide(inverse(B),X_11),B) ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),identity),X_11),B),multiply(divide(multiply(inverse(B),identity),X_11),B)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(divide(multiply(inverse(B),identity),X_11),B) = multiply(divide(inverse(B),X_11),B),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),identity),X_11),divide(inverse(B),X_11)) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)))]]) ).
cnf(refute_0_190,plain,
( multiply(divide(multiply(inverse(B),identity),X_11),B) != multiply(divide(inverse(B),X_11),B)
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) != inverse(multiply(divide(multiply(inverse(B),identity),X_11),B))
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = inverse(multiply(divide(inverse(B),X_11),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),inverse(multiply(divide(multiply(inverse(B),identity),X_11),B))) ),[1,0],$fot(multiply(divide(inverse(B),X_11),B))]]) ).
cnf(refute_0_191,plain,
( multiply(divide(multiply(inverse(B),identity),X_11),B) != multiply(divide(inverse(B),X_11),B)
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = inverse(multiply(divide(inverse(B),X_11),B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),inverse(multiply(divide(multiply(inverse(B),identity),X_11),B))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) = inverse(multiply(divide(inverse(B),X_11),B)),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(inverse(B),identity),X_11),B),multiply(divide(inverse(B),X_11),B)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) != X_11
| inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) != inverse(multiply(divide(inverse(B),X_11),B))
| inverse(multiply(divide(inverse(B),X_11),B)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),X_11) ),[0],$fot(inverse(multiply(divide(inverse(B),X_11),B)))]]) ).
cnf(refute_0_194,plain,
( inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)) != X_11
| inverse(multiply(divide(inverse(B),X_11),B)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),inverse(multiply(divide(inverse(B),X_11),B))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(multiply(divide(inverse(B),X_11),B)) = X_11,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(multiply(inverse(B),identity),X_11),B)),X_11) )],[refute_0_158,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(divide(inverse(B),X_11),B) = multiply(B,divide(inverse(B),X_11)),
inference(subst,[],[refute_0_136:[bind(X_11,$fot(B)),bind(X_21,$fot(divide(inverse(B),X_11)))]]) ).
cnf(refute_0_197,plain,
inverse(multiply(divide(inverse(B),X_11),B)) = inverse(multiply(divide(inverse(B),X_11),B)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(B),X_11),B)))]]) ).
cnf(refute_0_198,plain,
( multiply(divide(inverse(B),X_11),B) != multiply(B,divide(inverse(B),X_11))
| inverse(multiply(divide(inverse(B),X_11),B)) != inverse(multiply(divide(inverse(B),X_11),B))
| inverse(multiply(divide(inverse(B),X_11),B)) = inverse(multiply(B,divide(inverse(B),X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(B),X_11),B)),inverse(multiply(divide(inverse(B),X_11),B))) ),[1,0],$fot(multiply(B,divide(inverse(B),X_11)))]]) ).
cnf(refute_0_199,plain,
( multiply(divide(inverse(B),X_11),B) != multiply(B,divide(inverse(B),X_11))
| inverse(multiply(divide(inverse(B),X_11),B)) = inverse(multiply(B,divide(inverse(B),X_11))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(B),X_11),B)),inverse(multiply(divide(inverse(B),X_11),B))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(multiply(divide(inverse(B),X_11),B)) = inverse(multiply(B,divide(inverse(B),X_11))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(B),X_11),B),multiply(B,divide(inverse(B),X_11))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( inverse(multiply(divide(inverse(B),X_11),B)) != X_11
| inverse(multiply(divide(inverse(B),X_11),B)) != inverse(multiply(B,divide(inverse(B),X_11)))
| inverse(multiply(B,divide(inverse(B),X_11))) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(B),X_11),B)),X_11) ),[0],$fot(inverse(multiply(B,divide(inverse(B),X_11))))]]) ).
cnf(refute_0_202,plain,
( inverse(multiply(divide(inverse(B),X_11),B)) != X_11
| inverse(multiply(B,divide(inverse(B),X_11))) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(B),X_11),B)),inverse(multiply(B,divide(inverse(B),X_11)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
inverse(multiply(B,divide(inverse(B),X_11))) = X_11,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(B),X_11),B)),X_11) )],[refute_0_195,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(multiply(X_24,divide(inverse(X_24),divide(inverse(X_24),X_17)))) = divide(inverse(X_24),X_17),
inference(subst,[],[refute_0_203:[bind(B,$fot(X_24)),bind(X_11,$fot(divide(inverse(X_24),X_17)))]]) ).
cnf(refute_0_205,plain,
divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) = X_9,
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7)),bind(B,$fot(identity)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_206,plain,
inverse(X_7) = divide(identity,X_7),
inference(subst,[],[inverse:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_207,plain,
( inverse(X_7) != divide(identity,X_7)
| divide(identity,X_7) = inverse(X_7) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_7))),bind(Y,$fot(divide(identity,X_7)))]]) ).
cnf(refute_0_208,plain,
divide(identity,X_7) = inverse(X_7),
inference(resolve,[$cnf( $equal(inverse(X_7),divide(identity,X_7)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( divide(identity,X_7) != inverse(X_7)
| divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)),X_9) ),[0,1,0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_210,plain,
( divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(identity,X_7),inverse(X_7)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(identity,X_7),X_9),identity)),X_9) )],[refute_0_205,refute_0_210]) ).
cnf(refute_0_212,plain,
divide(divide(inverse(X_7),X_9),identity) = multiply(divide(inverse(X_7),X_9),identity),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_213,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_214,plain,
( divide(divide(inverse(X_7),X_9),identity) != multiply(divide(inverse(X_7),X_9),identity)
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))) ),[1,1],$fot(multiply(divide(inverse(X_7),X_9),identity))]]) ).
cnf(refute_0_215,plain,
( divide(divide(inverse(X_7),X_9),identity) != multiply(divide(inverse(X_7),X_9),identity)
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_7),X_9),identity),multiply(divide(inverse(X_7),X_9),identity)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),X_9) ),[0],$fot(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_218,plain,
( divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(inverse(X_7),X_9),identity)),X_9) )],[refute_0_211,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(divide(inverse(X_7),X_9),identity) = divide(inverse(X_7),X_9),
inference(subst,[],[refute_0_179:[bind(X_10,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_221,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)))]]) ).
cnf(refute_0_222,plain,
( multiply(divide(inverse(X_7),X_9),identity) != divide(inverse(X_7),X_9)
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) ),[1,1],$fot(divide(inverse(X_7),X_9))]]) ).
cnf(refute_0_223,plain,
( multiply(divide(inverse(X_7),X_9),identity) != divide(inverse(X_7),X_9)
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) = divide(inverse(X_7),divide(inverse(X_7),X_9)),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_7),X_9),identity),divide(inverse(X_7),X_9)) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != divide(inverse(X_7),divide(inverse(X_7),X_9))
| divide(inverse(X_7),divide(inverse(X_7),X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),X_9) ),[0],$fot(divide(inverse(X_7),divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_226,plain,
( divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)) != X_9
| divide(inverse(X_7),divide(inverse(X_7),X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),divide(inverse(X_7),divide(inverse(X_7),X_9))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
divide(inverse(X_7),divide(inverse(X_7),X_9)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(inverse(X_7),X_9),identity)),X_9) )],[refute_0_219,refute_0_226]) ).
cnf(refute_0_228,plain,
divide(inverse(inverse(X_11)),divide(inverse(inverse(X_11)),X_17)) = X_17,
inference(subst,[],[refute_0_227:[bind(X_7,$fot(inverse(X_11))),bind(X_9,$fot(X_17))]]) ).
cnf(refute_0_229,plain,
( divide(inverse(inverse(X_11)),divide(inverse(inverse(X_11)),X_17)) != X_17
| inverse(inverse(X_11)) != X_11
| divide(inverse(inverse(X_11)),divide(X_11,X_17)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(inverse(inverse(X_11)),X_17)),X_17) ),[0,1,0],$fot(X_11)]]) ).
cnf(refute_0_230,plain,
( divide(inverse(inverse(X_11)),divide(inverse(inverse(X_11)),X_17)) != X_17
| divide(inverse(inverse(X_11)),divide(X_11,X_17)) = X_17 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_127,refute_0_229]) ).
cnf(refute_0_231,plain,
divide(inverse(inverse(X_11)),divide(X_11,X_17)) = X_17,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(inverse(inverse(X_11)),X_17)),X_17) )],[refute_0_228,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(inverse(inverse(X_11)),divide(X_11,X_17)) = divide(inverse(inverse(X_11)),divide(X_11,X_17)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_11)),divide(X_11,X_17)))]]) ).
cnf(refute_0_233,plain,
( divide(inverse(inverse(X_11)),divide(X_11,X_17)) != divide(inverse(inverse(X_11)),divide(X_11,X_17))
| inverse(inverse(X_11)) != X_11
| divide(inverse(inverse(X_11)),divide(X_11,X_17)) = divide(X_11,divide(X_11,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(X_11,X_17)),divide(inverse(inverse(X_11)),divide(X_11,X_17))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_234,plain,
( inverse(inverse(X_11)) != X_11
| divide(inverse(inverse(X_11)),divide(X_11,X_17)) = divide(X_11,divide(X_11,X_17)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(X_11,X_17)),divide(inverse(inverse(X_11)),divide(X_11,X_17))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
divide(inverse(inverse(X_11)),divide(X_11,X_17)) = divide(X_11,divide(X_11,X_17)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_127,refute_0_234]) ).
cnf(refute_0_236,plain,
( divide(inverse(inverse(X_11)),divide(X_11,X_17)) != X_17
| divide(inverse(inverse(X_11)),divide(X_11,X_17)) != divide(X_11,divide(X_11,X_17))
| divide(X_11,divide(X_11,X_17)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(X_11,X_17)),X_17) ),[0],$fot(divide(X_11,divide(X_11,X_17)))]]) ).
cnf(refute_0_237,plain,
( divide(inverse(inverse(X_11)),divide(X_11,X_17)) != X_17
| divide(X_11,divide(X_11,X_17)) = X_17 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(X_11,X_17)),divide(X_11,divide(X_11,X_17))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
divide(X_11,divide(X_11,X_17)) = X_17,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_11)),divide(X_11,X_17)),X_17) )],[refute_0_231,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(inverse(X_24),divide(inverse(X_24),X_17)) = X_17,
inference(subst,[],[refute_0_238:[bind(X_11,$fot(inverse(X_24)))]]) ).
cnf(refute_0_240,plain,
( divide(inverse(X_24),divide(inverse(X_24),X_17)) != X_17
| inverse(multiply(X_24,divide(inverse(X_24),divide(inverse(X_24),X_17)))) != divide(inverse(X_24),X_17)
| inverse(multiply(X_24,X_17)) = divide(inverse(X_24),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_24,divide(inverse(X_24),divide(inverse(X_24),X_17)))),divide(inverse(X_24),X_17)) ),[0,0,1],$fot(X_17)]]) ).
cnf(refute_0_241,plain,
( inverse(multiply(X_24,divide(inverse(X_24),divide(inverse(X_24),X_17)))) != divide(inverse(X_24),X_17)
| inverse(multiply(X_24,X_17)) = divide(inverse(X_24),X_17) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),divide(inverse(X_24),X_17)),X_17) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(multiply(X_24,X_17)) = divide(inverse(X_24),X_17),
inference(resolve,[$cnf( $equal(inverse(multiply(X_24,divide(inverse(X_24),divide(inverse(X_24),X_17)))),divide(inverse(X_24),X_17)) )],[refute_0_204,refute_0_241]) ).
cnf(refute_0_243,plain,
( inverse(multiply(X_24,X_17)) != divide(inverse(X_24),X_17)
| divide(inverse(X_24),X_17) = inverse(multiply(X_24,X_17)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_24,X_17)))),bind(Y,$fot(divide(inverse(X_24),X_17)))]]) ).
cnf(refute_0_244,plain,
divide(inverse(X_24),X_17) = inverse(multiply(X_24,X_17)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_24,X_17)),divide(inverse(X_24),X_17)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
divide(inverse(X_7),X_46) = inverse(multiply(X_7,X_46)),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(X_46)),bind(X_24,$fot(X_7))]]) ).
cnf(refute_0_246,plain,
( divide(inverse(X_7),X_46) != divide(inverse(X_46),X_7)
| divide(inverse(X_7),X_46) != inverse(multiply(X_7,X_46))
| inverse(multiply(X_7,X_46)) = divide(inverse(X_46),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),X_46),divide(inverse(X_46),X_7)) ),[0],$fot(inverse(multiply(X_7,X_46)))]]) ).
cnf(refute_0_247,plain,
( divide(inverse(X_7),X_46) != divide(inverse(X_46),X_7)
| inverse(multiply(X_7,X_46)) = divide(inverse(X_46),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),X_46),inverse(multiply(X_7,X_46))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
divide(inverse(X_46),X_7) = inverse(multiply(X_46,X_7)),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(X_7)),bind(X_24,$fot(X_46))]]) ).
cnf(refute_0_249,plain,
( divide(inverse(X_46),X_7) != inverse(multiply(X_46,X_7))
| inverse(multiply(X_7,X_46)) != divide(inverse(X_46),X_7)
| inverse(multiply(X_7,X_46)) = inverse(multiply(X_46,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,X_46)),divide(inverse(X_46),X_7)) ),[1],$fot(inverse(multiply(X_46,X_7)))]]) ).
cnf(refute_0_250,plain,
( inverse(multiply(X_7,X_46)) != divide(inverse(X_46),X_7)
| inverse(multiply(X_7,X_46)) = inverse(multiply(X_46,X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_46),X_7),inverse(multiply(X_46,X_7))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( divide(inverse(X_7),X_46) != divide(inverse(X_46),X_7)
| inverse(multiply(X_7,X_46)) = inverse(multiply(X_46,X_7)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,X_46)),divide(inverse(X_46),X_7)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(multiply(X_7,X_46)) = inverse(multiply(X_46,X_7)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),X_46),divide(inverse(X_46),X_7)) )],[refute_0_151,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(multiply(X_60,X_59)) = inverse(multiply(X_59,X_60)),
inference(subst,[],[refute_0_252:[bind(X_46,$fot(X_59)),bind(X_7,$fot(X_60))]]) ).
cnf(refute_0_254,plain,
( multiply(A,multiply(X_60,X_59)) != divide(A,inverse(multiply(X_60,X_59)))
| inverse(multiply(X_60,X_59)) != inverse(multiply(X_59,X_60))
| multiply(A,multiply(X_60,X_59)) = divide(A,inverse(multiply(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(X_60,X_59)),divide(A,inverse(multiply(X_60,X_59)))) ),[1,1],$fot(inverse(multiply(X_59,X_60)))]]) ).
cnf(refute_0_255,plain,
( multiply(A,multiply(X_60,X_59)) != divide(A,inverse(multiply(X_60,X_59)))
| multiply(A,multiply(X_60,X_59)) = divide(A,inverse(multiply(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,X_59)),inverse(multiply(X_59,X_60))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(A,multiply(X_60,X_59)) = divide(A,inverse(multiply(X_59,X_60))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_60,X_59)),divide(A,inverse(multiply(X_60,X_59)))) )],[refute_0_141,refute_0_255]) ).
cnf(refute_0_257,plain,
divide(A,inverse(multiply(X_59,X_60))) = multiply(A,multiply(X_59,X_60)),
inference(subst,[],[refute_0_28:[bind(B,$fot(multiply(X_59,X_60)))]]) ).
cnf(refute_0_258,plain,
( multiply(A,multiply(X_60,X_59)) != divide(A,inverse(multiply(X_59,X_60)))
| divide(A,inverse(multiply(X_59,X_60))) != multiply(A,multiply(X_59,X_60))
| multiply(A,multiply(X_60,X_59)) = multiply(A,multiply(X_59,X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_60,X_59)),multiply(A,multiply(X_59,X_60))) ),[0],$fot(divide(A,inverse(multiply(X_59,X_60))))]]) ).
cnf(refute_0_259,plain,
( multiply(A,multiply(X_60,X_59)) != divide(A,inverse(multiply(X_59,X_60)))
| multiply(A,multiply(X_60,X_59)) = multiply(A,multiply(X_59,X_60)) ),
inference(resolve,[$cnf( $equal(divide(A,inverse(multiply(X_59,X_60))),multiply(A,multiply(X_59,X_60))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(A,multiply(X_60,X_59)) = multiply(A,multiply(X_59,X_60)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_60,X_59)),divide(A,inverse(multiply(X_59,X_60)))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(A,multiply(X_60,X_59)) != multiply(A,multiply(X_59,X_60))
| multiply(A,multiply(X_59,X_60)) = multiply(A,multiply(X_60,X_59)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,multiply(X_60,X_59)))),bind(Y,$fot(multiply(A,multiply(X_59,X_60))))]]) ).
cnf(refute_0_262,plain,
multiply(A,multiply(X_59,X_60)) = multiply(A,multiply(X_60,X_59)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_60,X_59)),multiply(A,multiply(X_59,X_60))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_262:[bind(A,$fot(a3)),bind(X_59,$fot(c3)),bind(X_60,$fot(b3))]]) ).
cnf(refute_0_264,plain,
multiply(multiply(X_78,X_77),B) = divide(multiply(X_78,X_77),inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiply(X_78,X_77)))]]) ).
cnf(refute_0_265,plain,
divide(inverse(inverse(B)),divide(divide(divide(X_8,inverse(B)),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_11:[bind(A,$fot(inverse(B))),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_266,plain,
multiply(X_8,B) = divide(X_8,inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_8))]]) ).
cnf(refute_0_267,plain,
( multiply(X_8,B) != divide(X_8,inverse(B))
| divide(X_8,inverse(B)) = multiply(X_8,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_8,B))),bind(Y,$fot(divide(X_8,inverse(B))))]]) ).
cnf(refute_0_268,plain,
divide(X_8,inverse(B)) = multiply(X_8,B),
inference(resolve,[$cnf( $equal(multiply(X_8,B),divide(X_8,inverse(B))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( divide(X_8,inverse(B)) != multiply(X_8,B)
| divide(inverse(inverse(B)),divide(divide(divide(X_8,inverse(B)),X_9),X_8)) != X_9
| divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(divide(X_8,inverse(B)),X_9),X_8)),X_9) ),[0,1,0,0],$fot(multiply(X_8,B))]]) ).
cnf(refute_0_270,plain,
( divide(inverse(inverse(B)),divide(divide(divide(X_8,inverse(B)),X_9),X_8)) != X_9
| divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(B)),multiply(X_8,B)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(divide(X_8,inverse(B)),X_9),X_8)),X_9) )],[refute_0_265,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_127:[bind(X_11,$fot(B))]]) ).
cnf(refute_0_273,plain,
divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)))]]) ).
cnf(refute_0_274,plain,
( divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) != divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8))
| inverse(inverse(B)) != B
| divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = divide(B,divide(divide(multiply(X_8,B),X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_275,plain,
( inverse(inverse(B)) != B
| divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = divide(B,divide(divide(multiply(X_8,B),X_9),X_8)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) = divide(B,divide(divide(multiply(X_8,B),X_9),X_8)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
( divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) != X_9
| divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) != divide(B,divide(divide(multiply(X_8,B),X_9),X_8))
| divide(B,divide(divide(multiply(X_8,B),X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),X_9) ),[0],$fot(divide(B,divide(divide(multiply(X_8,B),X_9),X_8)))]]) ).
cnf(refute_0_278,plain,
( divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)) != X_9
| divide(B,divide(divide(multiply(X_8,B),X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),divide(B,divide(divide(multiply(X_8,B),X_9),X_8))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
divide(B,divide(divide(multiply(X_8,B),X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),divide(divide(multiply(X_8,B),X_9),X_8)),X_9) )],[refute_0_271,refute_0_278]) ).
cnf(refute_0_280,plain,
divide(X_28,divide(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_29)) = divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8),
inference(subst,[],[refute_0_279:[bind(B,$fot(X_28)),bind(X_8,$fot(X_29)),bind(X_9,$fot(divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)))]]) ).
cnf(refute_0_281,plain,
divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_279:[bind(B,$fot(multiply(X_29,X_28)))]]) ).
cnf(refute_0_282,plain,
( divide(X_28,divide(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_29)) != divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)
| divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)) != X_9
| divide(X_28,divide(X_9,X_29)) = divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_28,divide(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_29)),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)) ),[0,1,0],$fot(X_9)]]) ).
cnf(refute_0_283,plain,
( divide(X_28,divide(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_29)) != divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)
| divide(X_28,divide(X_9,X_29)) = divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_9) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
divide(X_28,divide(X_9,X_29)) = divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8),
inference(resolve,[$cnf( $equal(divide(X_28,divide(divide(multiply(X_29,X_28),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)),X_29)),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
divide(X_11,divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29))) = divide(divide(multiply(X_29,X_11),X_30),X_29),
inference(subst,[],[refute_0_238:[bind(X_17,$fot(divide(divide(multiply(X_29,X_11),X_30),X_29)))]]) ).
cnf(refute_0_286,plain,
divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29)) = X_30,
inference(subst,[],[refute_0_279:[bind(B,$fot(X_11)),bind(X_8,$fot(X_29)),bind(X_9,$fot(X_30))]]) ).
cnf(refute_0_287,plain,
( divide(X_11,divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29))) != divide(divide(multiply(X_29,X_11),X_30),X_29)
| divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29)) != X_30
| divide(X_11,X_30) = divide(divide(multiply(X_29,X_11),X_30),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_11,divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29))),divide(divide(multiply(X_29,X_11),X_30),X_29)) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_288,plain,
( divide(X_11,divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29))) != divide(divide(multiply(X_29,X_11),X_30),X_29)
| divide(X_11,X_30) = divide(divide(multiply(X_29,X_11),X_30),X_29) ),
inference(resolve,[$cnf( $equal(divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29)),X_30) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
divide(X_11,X_30) = divide(divide(multiply(X_29,X_11),X_30),X_29),
inference(resolve,[$cnf( $equal(divide(X_11,divide(X_11,divide(divide(multiply(X_29,X_11),X_30),X_29))),divide(divide(multiply(X_29,X_11),X_30),X_29)) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( divide(X_11,X_30) != divide(divide(multiply(X_29,X_11),X_30),X_29)
| divide(divide(multiply(X_29,X_11),X_30),X_29) = divide(X_11,X_30) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_11,X_30))),bind(Y,$fot(divide(divide(multiply(X_29,X_11),X_30),X_29)))]]) ).
cnf(refute_0_291,plain,
divide(divide(multiply(X_29,X_11),X_30),X_29) = divide(X_11,X_30),
inference(resolve,[$cnf( $equal(divide(X_11,X_30),divide(divide(multiply(X_29,X_11),X_30),X_29)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8) = divide(multiply(X_29,X_28),X_9),
inference(subst,[],[refute_0_291:[bind(X_11,$fot(multiply(X_29,X_28))),bind(X_29,$fot(X_8)),bind(X_30,$fot(X_9))]]) ).
cnf(refute_0_293,plain,
( divide(X_28,divide(X_9,X_29)) != divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)
| divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8) != divide(multiply(X_29,X_28),X_9)
| divide(X_28,divide(X_9,X_29)) = divide(multiply(X_29,X_28),X_9) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_28,divide(X_9,X_29)),divide(multiply(X_29,X_28),X_9)) ),[0],$fot(divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8))]]) ).
cnf(refute_0_294,plain,
( divide(X_28,divide(X_9,X_29)) != divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)
| divide(X_28,divide(X_9,X_29)) = divide(multiply(X_29,X_28),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8),divide(multiply(X_29,X_28),X_9)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(X_28,divide(X_9,X_29)) = divide(multiply(X_29,X_28),X_9),
inference(resolve,[$cnf( $equal(divide(X_28,divide(X_9,X_29)),divide(divide(multiply(X_8,multiply(X_29,X_28)),X_9),X_8)) )],[refute_0_284,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(divide(X_36,X_37)),X_8) = divide(X_8,divide(X_36,X_37)),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(divide(X_36,X_37)))]]) ).
cnf(refute_0_297,plain,
multiply(X_8,identity) = X_8,
inference(subst,[],[refute_0_179:[bind(X_10,$fot(X_8))]]) ).
cnf(refute_0_298,plain,
divide(multiply(X_8,identity),X_9) = divide(multiply(X_8,identity),X_9),
introduced(tautology,[refl,[$fot(divide(multiply(X_8,identity),X_9))]]) ).
cnf(refute_0_299,plain,
( multiply(X_8,identity) != X_8
| divide(multiply(X_8,identity),X_9) != divide(multiply(X_8,identity),X_9)
| divide(multiply(X_8,identity),X_9) = divide(X_8,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_8,identity),X_9),divide(multiply(X_8,identity),X_9)) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_300,plain,
( multiply(X_8,identity) != X_8
| divide(multiply(X_8,identity),X_9) = divide(X_8,X_9) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,identity),X_9),divide(multiply(X_8,identity),X_9)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
divide(multiply(X_8,identity),X_9) = divide(X_8,X_9),
inference(resolve,[$cnf( $equal(multiply(X_8,identity),X_8) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
divide(divide(multiply(X_8,identity),X_9),X_8) = divide(divide(multiply(X_8,identity),X_9),X_8),
introduced(tautology,[refl,[$fot(divide(divide(multiply(X_8,identity),X_9),X_8))]]) ).
cnf(refute_0_303,plain,
( divide(multiply(X_8,identity),X_9) != divide(X_8,X_9)
| divide(divide(multiply(X_8,identity),X_9),X_8) != divide(divide(multiply(X_8,identity),X_9),X_8)
| divide(divide(multiply(X_8,identity),X_9),X_8) = divide(divide(X_8,X_9),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(X_8,identity),X_9),X_8),divide(divide(multiply(X_8,identity),X_9),X_8)) ),[1,0],$fot(divide(X_8,X_9))]]) ).
cnf(refute_0_304,plain,
( divide(multiply(X_8,identity),X_9) != divide(X_8,X_9)
| divide(divide(multiply(X_8,identity),X_9),X_8) = divide(divide(X_8,X_9),X_8) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_8,identity),X_9),X_8),divide(divide(multiply(X_8,identity),X_9),X_8)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
divide(divide(multiply(X_8,identity),X_9),X_8) = divide(divide(X_8,X_9),X_8),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,identity),X_9),divide(X_8,X_9)) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)))]]) ).
cnf(refute_0_307,plain,
( divide(divide(multiply(X_8,identity),X_9),X_8) != divide(divide(X_8,X_9),X_8)
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(multiply(X_8,identity),X_9),X_8))
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) ),[1,0],$fot(divide(divide(X_8,X_9),X_8))]]) ).
cnf(refute_0_308,plain,
( divide(divide(multiply(X_8,identity),X_9),X_8) != divide(divide(X_8,X_9),X_8)
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(multiply(X_8,identity),X_9),X_8))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) = inverse(divide(divide(X_8,X_9),X_8)),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_8,identity),X_9),X_8),divide(divide(X_8,X_9),X_8)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) != inverse(divide(divide(X_8,X_9),X_8))
| inverse(divide(divide(X_8,X_9),X_8)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) ),[0],$fot(inverse(divide(divide(X_8,X_9),X_8)))]]) ).
cnf(refute_0_311,plain,
( inverse(divide(divide(multiply(X_8,identity),X_9),X_8)) != X_9
| inverse(divide(divide(X_8,X_9),X_8)) = X_9 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),inverse(divide(divide(X_8,X_9),X_8))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
inverse(divide(divide(X_8,X_9),X_8)) = X_9,
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_8,identity),X_9),X_8)),X_9) )],[refute_0_74,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(divide(divide(X_22,divide(X_22,X_17)),X_22)) = divide(X_22,X_17),
inference(subst,[],[refute_0_312:[bind(X_8,$fot(X_22)),bind(X_9,$fot(divide(X_22,X_17)))]]) ).
cnf(refute_0_314,plain,
divide(X_22,divide(X_22,X_17)) = X_17,
inference(subst,[],[refute_0_238:[bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_315,plain,
( divide(X_22,divide(X_22,X_17)) != X_17
| inverse(divide(divide(X_22,divide(X_22,X_17)),X_22)) != divide(X_22,X_17)
| inverse(divide(X_17,X_22)) = divide(X_22,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_22,divide(X_22,X_17)),X_22)),divide(X_22,X_17)) ),[0,0,0],$fot(X_17)]]) ).
cnf(refute_0_316,plain,
( inverse(divide(divide(X_22,divide(X_22,X_17)),X_22)) != divide(X_22,X_17)
| inverse(divide(X_17,X_22)) = divide(X_22,X_17) ),
inference(resolve,[$cnf( $equal(divide(X_22,divide(X_22,X_17)),X_17) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(divide(X_17,X_22)) = divide(X_22,X_17),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_22,divide(X_22,X_17)),X_22)),divide(X_22,X_17)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
inverse(divide(X_36,X_37)) = divide(X_37,X_36),
inference(subst,[],[refute_0_317:[bind(X_17,$fot(X_36)),bind(X_22,$fot(X_37))]]) ).
cnf(refute_0_319,plain,
( multiply(inverse(divide(X_36,X_37)),X_8) != divide(X_8,divide(X_36,X_37))
| inverse(divide(X_36,X_37)) != divide(X_37,X_36)
| multiply(divide(X_37,X_36),X_8) = divide(X_8,divide(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_36,X_37)),X_8),divide(X_8,divide(X_36,X_37))) ),[0,0],$fot(divide(X_37,X_36))]]) ).
cnf(refute_0_320,plain,
( multiply(inverse(divide(X_36,X_37)),X_8) != divide(X_8,divide(X_36,X_37))
| multiply(divide(X_37,X_36),X_8) = divide(X_8,divide(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_36,X_37)),divide(X_37,X_36)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(divide(X_37,X_36),X_8) = divide(X_8,divide(X_36,X_37)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_36,X_37)),X_8),divide(X_8,divide(X_36,X_37))) )],[refute_0_296,refute_0_320]) ).
cnf(refute_0_322,plain,
( multiply(divide(X_37,X_36),X_8) != divide(X_8,divide(X_36,X_37))
| divide(X_8,divide(X_36,X_37)) = multiply(divide(X_37,X_36),X_8) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(X_37,X_36),X_8))),bind(Y,$fot(divide(X_8,divide(X_36,X_37))))]]) ).
cnf(refute_0_323,plain,
divide(X_8,divide(X_36,X_37)) = multiply(divide(X_37,X_36),X_8),
inference(resolve,[$cnf( $equal(multiply(divide(X_37,X_36),X_8),divide(X_8,divide(X_36,X_37))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
divide(X_28,divide(X_9,X_29)) = multiply(divide(X_29,X_9),X_28),
inference(subst,[],[refute_0_323:[bind(X_36,$fot(X_9)),bind(X_37,$fot(X_29)),bind(X_8,$fot(X_28))]]) ).
cnf(refute_0_325,plain,
( divide(X_28,divide(X_9,X_29)) != multiply(divide(X_29,X_9),X_28)
| divide(X_28,divide(X_9,X_29)) != divide(multiply(X_29,X_28),X_9)
| multiply(divide(X_29,X_9),X_28) = divide(multiply(X_29,X_28),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_28,divide(X_9,X_29)),divide(multiply(X_29,X_28),X_9)) ),[0],$fot(multiply(divide(X_29,X_9),X_28))]]) ).
cnf(refute_0_326,plain,
( divide(X_28,divide(X_9,X_29)) != divide(multiply(X_29,X_28),X_9)
| multiply(divide(X_29,X_9),X_28) = divide(multiply(X_29,X_28),X_9) ),
inference(resolve,[$cnf( $equal(divide(X_28,divide(X_9,X_29)),multiply(divide(X_29,X_9),X_28)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(divide(X_29,X_9),X_28) = divide(multiply(X_29,X_28),X_9),
inference(resolve,[$cnf( $equal(divide(X_28,divide(X_9,X_29)),divide(multiply(X_29,X_28),X_9)) )],[refute_0_295,refute_0_326]) ).
cnf(refute_0_328,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),C),inverse(X_7))) = C,
inference(subst,[],[refute_0_11:[bind(A,$fot(divide(divide(divide(X_8,X_7),X_9),X_8))),bind(B,$fot(inverse(X_7)))]]) ).
cnf(refute_0_329,plain,
divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)) = X_9,
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_330,plain,
( divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)) != X_9
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),C),inverse(X_7))) != C
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),C),inverse(X_7))),C) ),[0,1,0,0],$fot(X_9)]]) ).
cnf(refute_0_331,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),C),inverse(X_7))) != C
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),X_9) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = C,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(divide(inverse(X_7),divide(divide(divide(X_8,X_7),X_9),X_8)),C),inverse(X_7))),C) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
divide(divide(X_9,C),inverse(X_7)) = multiply(divide(X_9,C),X_7),
inference(subst,[],[refute_0_28:[bind(A,$fot(divide(X_9,C))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_334,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))))]]) ).
cnf(refute_0_335,plain,
( divide(divide(X_9,C),inverse(X_7)) != multiply(divide(X_9,C),X_7)
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) != divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7)))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7)))) ),[1,1],$fot(multiply(divide(X_9,C),X_7))]]) ).
cnf(refute_0_336,plain,
( divide(divide(X_9,C),inverse(X_7)) != multiply(divide(X_9,C),X_7)
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) = divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(X_9,C),inverse(X_7)),multiply(divide(X_9,C),X_7)) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) != C
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) != divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),C) ),[0],$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)))]]) ).
cnf(refute_0_339,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))) != C
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = C,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),divide(divide(X_9,C),inverse(X_7))),C) )],[refute_0_332,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_8) = divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))]]) ).
cnf(refute_0_342,plain,
divide(inverse(X_7),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))) = X_9,
inference(subst,[],[refute_0_11:[bind(A,$fot(X_7)),bind(B,$fot(inverse(B))),bind(C,$fot(X_9))]]) ).
cnf(refute_0_343,plain,
multiply(divide(divide(inverse(B),X_7),X_9),B) = divide(divide(divide(inverse(B),X_7),X_9),inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(divide(divide(inverse(B),X_7),X_9)))]]) ).
cnf(refute_0_344,plain,
( multiply(divide(divide(inverse(B),X_7),X_9),B) != divide(divide(divide(inverse(B),X_7),X_9),inverse(B))
| divide(divide(divide(inverse(B),X_7),X_9),inverse(B)) = multiply(divide(divide(inverse(B),X_7),X_9),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(divide(inverse(B),X_7),X_9),B))),bind(Y,$fot(divide(divide(divide(inverse(B),X_7),X_9),inverse(B))))]]) ).
cnf(refute_0_345,plain,
divide(divide(divide(inverse(B),X_7),X_9),inverse(B)) = multiply(divide(divide(inverse(B),X_7),X_9),B),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(B),X_7),X_9),B),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( divide(divide(divide(inverse(B),X_7),X_9),inverse(B)) != multiply(divide(divide(inverse(B),X_7),X_9),B)
| divide(inverse(X_7),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))) != X_9
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))),X_9) ),[0,1],$fot(multiply(divide(divide(inverse(B),X_7),X_9),B))]]) ).
cnf(refute_0_347,plain,
( divide(inverse(X_7),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))) != X_9
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = X_9 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(inverse(B),X_7),X_9),inverse(B)),multiply(divide(divide(inverse(B),X_7),X_9),B)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(divide(divide(inverse(B),X_7),X_9),inverse(B))),X_9) )],[refute_0_342,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(divide(divide(inverse(B),X_7),X_9),B) = multiply(B,divide(divide(inverse(B),X_7),X_9)),
inference(subst,[],[refute_0_136:[bind(X_11,$fot(B)),bind(X_21,$fot(divide(divide(inverse(B),X_7),X_9)))]]) ).
cnf(refute_0_350,plain,
divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),
introduced(tautology,[refl,[$fot(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)))]]) ).
cnf(refute_0_351,plain,
( multiply(divide(divide(inverse(B),X_7),X_9),B) != multiply(B,divide(divide(inverse(B),X_7),X_9))
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) != divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B))
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B))) ),[1,1],$fot(multiply(B,divide(divide(inverse(B),X_7),X_9)))]]) ).
cnf(refute_0_352,plain,
( multiply(divide(divide(inverse(B),X_7),X_9),B) != multiply(B,divide(divide(inverse(B),X_7),X_9))
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) = divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))),
inference(resolve,[$cnf( $equal(multiply(divide(divide(inverse(B),X_7),X_9),B),multiply(B,divide(divide(inverse(B),X_7),X_9))) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) != X_9
| divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) != divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9)))
| divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),X_9) ),[0],$fot(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))))]]) ).
cnf(refute_0_355,plain,
( divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)) != X_9
| divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9)))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(divide(divide(inverse(B),X_7),X_9),B)),X_9) )],[refute_0_348,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(B,inverse(multiply(multiply(B,X_7),X_9))) = divide(B,multiply(multiply(B,X_7),X_9)),
inference(subst,[],[refute_0_147:[bind(A,$fot(B)),bind(X_12,$fot(multiply(multiply(B,X_7),X_9)))]]) ).
cnf(refute_0_358,plain,
divide(inverse(multiply(B,X_7)),X_9) = inverse(multiply(multiply(B,X_7),X_9)),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(X_9)),bind(X_24,$fot(multiply(B,X_7)))]]) ).
cnf(refute_0_359,plain,
divide(inverse(B),X_7) = inverse(multiply(B,X_7)),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(X_7)),bind(X_24,$fot(B))]]) ).
cnf(refute_0_360,plain,
divide(divide(inverse(B),X_7),X_9) = divide(divide(inverse(B),X_7),X_9),
introduced(tautology,[refl,[$fot(divide(divide(inverse(B),X_7),X_9))]]) ).
cnf(refute_0_361,plain,
( divide(divide(inverse(B),X_7),X_9) != divide(divide(inverse(B),X_7),X_9)
| divide(inverse(B),X_7) != inverse(multiply(B,X_7))
| divide(divide(inverse(B),X_7),X_9) = divide(inverse(multiply(B,X_7)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(B),X_7),X_9),divide(divide(inverse(B),X_7),X_9)) ),[1,0],$fot(inverse(multiply(B,X_7)))]]) ).
cnf(refute_0_362,plain,
( divide(inverse(B),X_7) != inverse(multiply(B,X_7))
| divide(divide(inverse(B),X_7),X_9) = divide(inverse(multiply(B,X_7)),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),X_7),X_9),divide(divide(inverse(B),X_7),X_9)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
divide(divide(inverse(B),X_7),X_9) = divide(inverse(multiply(B,X_7)),X_9),
inference(resolve,[$cnf( $equal(divide(inverse(B),X_7),inverse(multiply(B,X_7))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( divide(divide(inverse(B),X_7),X_9) != divide(inverse(multiply(B,X_7)),X_9)
| divide(inverse(multiply(B,X_7)),X_9) != inverse(multiply(multiply(B,X_7),X_9))
| divide(divide(inverse(B),X_7),X_9) = inverse(multiply(multiply(B,X_7),X_9)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(divide(inverse(B),X_7),X_9))),bind(Y,$fot(divide(inverse(multiply(B,X_7)),X_9))),bind(Z,$fot(inverse(multiply(multiply(B,X_7),X_9))))]]) ).
cnf(refute_0_365,plain,
( divide(inverse(multiply(B,X_7)),X_9) != inverse(multiply(multiply(B,X_7),X_9))
| divide(divide(inverse(B),X_7),X_9) = inverse(multiply(multiply(B,X_7),X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),X_7),X_9),divide(inverse(multiply(B,X_7)),X_9)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
divide(divide(inverse(B),X_7),X_9) = inverse(multiply(multiply(B,X_7),X_9)),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(B,X_7)),X_9),inverse(multiply(multiply(B,X_7),X_9))) )],[refute_0_358,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(B,divide(divide(inverse(B),X_7),X_9)) = multiply(B,divide(divide(inverse(B),X_7),X_9)),
introduced(tautology,[refl,[$fot(multiply(B,divide(divide(inverse(B),X_7),X_9)))]]) ).
cnf(refute_0_368,plain,
( multiply(B,divide(divide(inverse(B),X_7),X_9)) != multiply(B,divide(divide(inverse(B),X_7),X_9))
| divide(divide(inverse(B),X_7),X_9) != inverse(multiply(multiply(B,X_7),X_9))
| multiply(B,divide(divide(inverse(B),X_7),X_9)) = multiply(B,inverse(multiply(multiply(B,X_7),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,divide(divide(inverse(B),X_7),X_9)),multiply(B,divide(divide(inverse(B),X_7),X_9))) ),[1,1],$fot(inverse(multiply(multiply(B,X_7),X_9)))]]) ).
cnf(refute_0_369,plain,
( divide(divide(inverse(B),X_7),X_9) != inverse(multiply(multiply(B,X_7),X_9))
| multiply(B,divide(divide(inverse(B),X_7),X_9)) = multiply(B,inverse(multiply(multiply(B,X_7),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(B,divide(divide(inverse(B),X_7),X_9)),multiply(B,divide(divide(inverse(B),X_7),X_9))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(B,divide(divide(inverse(B),X_7),X_9)) = multiply(B,inverse(multiply(multiply(B,X_7),X_9))),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),X_7),X_9),inverse(multiply(multiply(B,X_7),X_9))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( multiply(B,divide(divide(inverse(B),X_7),X_9)) != multiply(B,inverse(multiply(multiply(B,X_7),X_9)))
| multiply(B,inverse(multiply(multiply(B,X_7),X_9))) != divide(B,multiply(multiply(B,X_7),X_9))
| multiply(B,divide(divide(inverse(B),X_7),X_9)) = divide(B,multiply(multiply(B,X_7),X_9)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(B,divide(divide(inverse(B),X_7),X_9)))),bind(Y,$fot(multiply(B,inverse(multiply(multiply(B,X_7),X_9))))),bind(Z,$fot(divide(B,multiply(multiply(B,X_7),X_9))))]]) ).
cnf(refute_0_372,plain,
( multiply(B,inverse(multiply(multiply(B,X_7),X_9))) != divide(B,multiply(multiply(B,X_7),X_9))
| multiply(B,divide(divide(inverse(B),X_7),X_9)) = divide(B,multiply(multiply(B,X_7),X_9)) ),
inference(resolve,[$cnf( $equal(multiply(B,divide(divide(inverse(B),X_7),X_9)),multiply(B,inverse(multiply(multiply(B,X_7),X_9)))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(B,divide(divide(inverse(B),X_7),X_9)) = divide(B,multiply(multiply(B,X_7),X_9)),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(multiply(B,X_7),X_9))),divide(B,multiply(multiply(B,X_7),X_9))) )],[refute_0_357,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) = multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))),
introduced(tautology,[refl,[$fot(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))]]) ).
cnf(refute_0_375,plain,
( multiply(B,divide(divide(inverse(B),X_7),X_9)) != divide(B,multiply(multiply(B,X_7),X_9))
| multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) != multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))
| multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) = multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))),multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) ),[1,1],$fot(divide(B,multiply(multiply(B,X_7),X_9)))]]) ).
cnf(refute_0_376,plain,
( multiply(B,divide(divide(inverse(B),X_7),X_9)) != divide(B,multiply(multiply(B,X_7),X_9))
| multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) = multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))),multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) = multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))),
inference(resolve,[$cnf( $equal(multiply(B,divide(divide(inverse(B),X_7),X_9)),divide(B,multiply(multiply(B,X_7),X_9))) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) = inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))))]]) ).
cnf(refute_0_379,plain,
( multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) != multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))
| inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) != inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))
| inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))),inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))) ),[1,0],$fot(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))]]) ).
cnf(refute_0_380,plain,
( multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))) != multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))
| inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))),inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))),multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(multiply(B,divide(divide(inverse(B),X_7),X_9)))),bind(X_24,$fot(X_7))]]) ).
cnf(refute_0_383,plain,
( divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) != inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))
| inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) != inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))
| divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))))),bind(Y,$fot(inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))))),bind(Z,$fot(inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))))]]) ).
cnf(refute_0_384,plain,
( inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))) != inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))
| divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))),inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9))))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) = inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,multiply(B,divide(divide(inverse(B),X_7),X_9)))),inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) != X_9
| divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) != inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))
| inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))),X_9) ),[0],$fot(inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))))]]) ).
cnf(refute_0_387,plain,
( divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))) != X_9
| inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))),inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9))))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
inverse(multiply(X_7,divide(B,multiply(multiply(B,X_7),X_9)))) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(X_7),multiply(B,divide(divide(inverse(B),X_7),X_9))),X_9) )],[refute_0_356,refute_0_387]) ).
cnf(refute_0_389,plain,
inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = X_33,
inference(subst,[],[refute_0_388:[bind(B,$fot(X_31)),bind(X_7,$fot(X_32)),bind(X_9,$fot(X_33))]]) ).
cnf(refute_0_390,plain,
( multiply(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_8) != divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))
| inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) != X_33
| multiply(X_33,X_8) = divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_8),divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) ),[0,0],$fot(X_33)]]) ).
cnf(refute_0_391,plain,
( multiply(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_8) != divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))
| multiply(X_33,X_8) = divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_33) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(X_33,X_8) = divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_8),divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) )],[refute_0_341,refute_0_391]) ).
cnf(refute_0_393,plain,
divide(X_8,inverse(X_33)) = multiply(X_8,X_33),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_8)),bind(B,$fot(X_33))]]) ).
cnf(refute_0_394,plain,
inverse(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) = multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))),
inference(subst,[],[refute_0_127:[bind(X_11,$fot(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))]]) ).
cnf(refute_0_395,plain,
( inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) != X_33
| inverse(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) != multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))
| inverse(X_33) = multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))),multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) ),[0,0],$fot(X_33)]]) ).
cnf(refute_0_396,plain,
( inverse(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) != multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))
| inverse(X_33) = multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),X_33) )],[refute_0_389,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(X_33) = multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))),multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) )],[refute_0_394,refute_0_396]) ).
cnf(refute_0_398,plain,
( inverse(X_33) != multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))
| multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) = inverse(X_33) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_33))),bind(Y,$fot(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))]]) ).
cnf(refute_0_399,plain,
multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) = inverse(X_33),
inference(resolve,[$cnf( $equal(inverse(X_33),multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),
introduced(tautology,[refl,[$fot(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))]]) ).
cnf(refute_0_401,plain,
( multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) != inverse(X_33)
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) != divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = divide(X_8,inverse(X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) ),[1,1],$fot(inverse(X_33))]]) ).
cnf(refute_0_402,plain,
( multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))) != inverse(X_33)
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = divide(X_8,inverse(X_33)) ),
inference(resolve,[$cnf( $equal(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = divide(X_8,inverse(X_33)),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))),inverse(X_33)) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
( divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) != divide(X_8,inverse(X_33))
| divide(X_8,inverse(X_33)) != multiply(X_8,X_33)
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = multiply(X_8,X_33) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))),bind(Y,$fot(divide(X_8,inverse(X_33)))),bind(Z,$fot(multiply(X_8,X_33)))]]) ).
cnf(refute_0_405,plain,
( divide(X_8,inverse(X_33)) != multiply(X_8,X_33)
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = multiply(X_8,X_33) ),
inference(resolve,[$cnf( $equal(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),divide(X_8,inverse(X_33))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) = multiply(X_8,X_33),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(X_33)),multiply(X_8,X_33)) )],[refute_0_393,refute_0_405]) ).
cnf(refute_0_407,plain,
( multiply(X_33,X_8) != divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))
| divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))) != multiply(X_8,X_33)
| multiply(X_33,X_8) = multiply(X_8,X_33) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_33,X_8),multiply(X_8,X_33)) ),[0],$fot(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))))]]) ).
cnf(refute_0_408,plain,
( multiply(X_33,X_8) != divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))
| multiply(X_33,X_8) = multiply(X_8,X_33) ),
inference(resolve,[$cnf( $equal(divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33)))),multiply(X_8,X_33)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(X_33,X_8) = multiply(X_8,X_33),
inference(resolve,[$cnf( $equal(multiply(X_33,X_8),divide(X_8,multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),X_33))))) )],[refute_0_392,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiply(X_33,X_8) != multiply(X_8,X_33)
| multiply(X_8,X_33) = multiply(X_33,X_8) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_33,X_8))),bind(Y,$fot(multiply(X_8,X_33)))]]) ).
cnf(refute_0_411,plain,
multiply(X_8,X_33) = multiply(X_33,X_8),
inference(resolve,[$cnf( $equal(multiply(X_33,X_8),multiply(X_8,X_33)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))),
inference(subst,[],[refute_0_411:[bind(X_33,$fot(X_7)),bind(X_8,$fot(divide(divide(X_9,C),multiply(X_7,X_9))))]]) ).
cnf(refute_0_413,plain,
( multiply(divide(X_29,X_9),X_28) != divide(multiply(X_29,X_28),X_9)
| divide(multiply(X_29,X_28),X_9) = multiply(divide(X_29,X_9),X_28) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(X_29,X_9),X_28))),bind(Y,$fot(divide(multiply(X_29,X_28),X_9)))]]) ).
cnf(refute_0_414,plain,
divide(multiply(X_29,X_28),X_9) = multiply(divide(X_29,X_9),X_28),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_9),X_28),divide(multiply(X_29,X_28),X_9)) )],[refute_0_327,refute_0_413]) ).
cnf(refute_0_415,plain,
divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) = multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7),
inference(subst,[],[refute_0_414:[bind(X_28,$fot(X_7)),bind(X_29,$fot(divide(X_9,C))),bind(X_9,$fot(multiply(X_7,X_9)))]]) ).
cnf(refute_0_416,plain,
( multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) != multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7)
| divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)))),bind(Y,$fot(multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7))),bind(Z,$fot(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))))]]) ).
cnf(refute_0_417,plain,
( multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)),multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_9,C),multiply(X_7,X_9)),X_7),multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) )],[refute_0_412,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) = divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(multiply(X_7,X_9))),bind(X_8,$fot(multiply(divide(X_9,C),X_7)))]]) ).
cnf(refute_0_420,plain,
( multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) != divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9))
| divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)))),bind(Y,$fot(divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)))),bind(Z,$fot(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))))]]) ).
cnf(refute_0_421,plain,
( divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)),divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_9,C),X_7),multiply(X_7,X_9)),multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
divide(inverse(X_16),divide(inverse(X_16),divide(divide(divide(B,X_16),C),B))) = divide(divide(divide(B,X_16),C),B),
inference(subst,[],[refute_0_227:[bind(X_7,$fot(X_16)),bind(X_9,$fot(divide(divide(divide(B,X_16),C),B)))]]) ).
cnf(refute_0_424,plain,
divide(inverse(X_16),divide(divide(divide(B,X_16),C),B)) = C,
inference(subst,[],[refute_0_11:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_425,plain,
( divide(inverse(X_16),divide(divide(divide(B,X_16),C),B)) != C
| divide(inverse(X_16),divide(inverse(X_16),divide(divide(divide(B,X_16),C),B))) != divide(divide(divide(B,X_16),C),B)
| divide(inverse(X_16),C) = divide(divide(divide(B,X_16),C),B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_16),divide(inverse(X_16),divide(divide(divide(B,X_16),C),B))),divide(divide(divide(B,X_16),C),B)) ),[0,1],$fot(C)]]) ).
cnf(refute_0_426,plain,
( divide(inverse(X_16),divide(inverse(X_16),divide(divide(divide(B,X_16),C),B))) != divide(divide(divide(B,X_16),C),B)
| divide(inverse(X_16),C) = divide(divide(divide(B,X_16),C),B) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),divide(divide(divide(B,X_16),C),B)),C) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
divide(inverse(X_16),C) = divide(divide(divide(B,X_16),C),B),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),divide(inverse(X_16),divide(divide(divide(B,X_16),C),B))),divide(divide(divide(B,X_16),C),B)) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
divide(inverse(X_16),C) = inverse(multiply(X_16,C)),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(C)),bind(X_24,$fot(X_16))]]) ).
cnf(refute_0_429,plain,
( divide(inverse(X_16),C) != divide(divide(divide(B,X_16),C),B)
| divide(inverse(X_16),C) != inverse(multiply(X_16,C))
| inverse(multiply(X_16,C)) = divide(divide(divide(B,X_16),C),B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_16),C),divide(divide(divide(B,X_16),C),B)) ),[0],$fot(inverse(multiply(X_16,C)))]]) ).
cnf(refute_0_430,plain,
( divide(inverse(X_16),C) != divide(divide(divide(B,X_16),C),B)
| inverse(multiply(X_16,C)) = divide(divide(divide(B,X_16),C),B) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),C),inverse(multiply(X_16,C))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(multiply(X_16,C)) = divide(divide(divide(B,X_16),C),B),
inference(resolve,[$cnf( $equal(divide(inverse(X_16),C),divide(divide(divide(B,X_16),C),B)) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( inverse(multiply(X_16,C)) != divide(divide(divide(B,X_16),C),B)
| divide(divide(divide(B,X_16),C),B) = inverse(multiply(X_16,C)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_16,C)))),bind(Y,$fot(divide(divide(divide(B,X_16),C),B)))]]) ).
cnf(refute_0_433,plain,
divide(divide(divide(B,X_16),C),B) = inverse(multiply(X_16,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_16,C)),divide(divide(divide(B,X_16),C),B)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
divide(divide(divide(X_8,X_7),X_9),X_8) = inverse(multiply(X_7,X_9)),
inference(subst,[],[refute_0_433:[bind(B,$fot(X_8)),bind(C,$fot(X_9)),bind(X_16,$fot(X_7))]]) ).
cnf(refute_0_435,plain,
multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)),
introduced(tautology,[refl,[$fot(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))]]) ).
cnf(refute_0_436,plain,
( multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) != multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))
| divide(divide(divide(X_8,X_7),X_9),X_8) != inverse(multiply(X_7,X_9))
| multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)),multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) ),[1,0],$fot(inverse(multiply(X_7,X_9)))]]) ).
cnf(refute_0_437,plain,
( divide(divide(divide(X_8,X_7),X_9),X_8) != inverse(multiply(X_7,X_9))
| multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)),multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_8,X_7),X_9),X_8),inverse(multiply(X_7,X_9))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
( multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) != multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7))
| multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))),bind(Y,$fot(multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)))),bind(Z,$fot(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))))]]) ).
cnf(refute_0_440,plain,
( multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)),multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) = multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_7,X_9)),multiply(divide(X_9,C),X_7)),multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) )],[refute_0_422,refute_0_440]) ).
cnf(refute_0_442,plain,
inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) = inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))))]]) ).
cnf(refute_0_443,plain,
( multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) != inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))
| inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))),inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))) ),[1,0],$fot(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))]]) ).
cnf(refute_0_444,plain,
( multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)) != multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))
| inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))),inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))),
inference(resolve,[$cnf( $equal(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)),multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(multiply(divide(X_9,C),X_7))),bind(X_24,$fot(divide(divide(divide(X_8,X_7),X_9),X_8)))]]) ).
cnf(refute_0_447,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) != inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))
| inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) != inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)))),bind(Y,$fot(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))))),bind(Z,$fot(inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))))]]) ).
cnf(refute_0_448,plain,
( inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))) != inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)),inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) = inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(divide(X_8,X_7),X_9),X_8),multiply(divide(X_9,C),X_7))),inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) != C
| divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) != inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))
| inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)),C) ),[0],$fot(inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))))]]) ).
cnf(refute_0_451,plain,
( divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)) != C
| inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) = C ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)),inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
inverse(multiply(X_7,divide(divide(X_9,C),multiply(X_7,X_9)))) = C,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(divide(X_8,X_7),X_9),X_8)),multiply(divide(X_9,C),X_7)),C) )],[refute_0_340,refute_0_451]) ).
cnf(refute_0_453,plain,
inverse(multiply(X_48,divide(divide(X_49,multiply(B,X_49)),multiply(X_48,X_49)))) = multiply(B,X_49),
inference(subst,[],[refute_0_452:[bind(C,$fot(multiply(B,X_49))),bind(X_7,$fot(X_48)),bind(X_9,$fot(X_49))]]) ).
cnf(refute_0_454,plain,
divide(X_28,divide(divide(multiply(X_29,X_28),inverse(B)),X_29)) = inverse(B),
inference(subst,[],[refute_0_279:[bind(B,$fot(X_28)),bind(X_8,$fot(X_29)),bind(X_9,$fot(inverse(B)))]]) ).
cnf(refute_0_455,plain,
multiply(multiply(X_29,X_28),B) = divide(multiply(X_29,X_28),inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiply(X_29,X_28)))]]) ).
cnf(refute_0_456,plain,
( multiply(multiply(X_29,X_28),B) != divide(multiply(X_29,X_28),inverse(B))
| divide(multiply(X_29,X_28),inverse(B)) = multiply(multiply(X_29,X_28),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(X_29,X_28),B))),bind(Y,$fot(divide(multiply(X_29,X_28),inverse(B))))]]) ).
cnf(refute_0_457,plain,
divide(multiply(X_29,X_28),inverse(B)) = multiply(multiply(X_29,X_28),B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,X_28),B),divide(multiply(X_29,X_28),inverse(B))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
( divide(X_28,divide(divide(multiply(X_29,X_28),inverse(B)),X_29)) != inverse(B)
| divide(multiply(X_29,X_28),inverse(B)) != multiply(multiply(X_29,X_28),B)
| divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_28,divide(divide(multiply(X_29,X_28),inverse(B)),X_29)),inverse(B)) ),[0,1,0],$fot(multiply(multiply(X_29,X_28),B))]]) ).
cnf(refute_0_459,plain,
( divide(X_28,divide(divide(multiply(X_29,X_28),inverse(B)),X_29)) != inverse(B)
| divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_29,X_28),inverse(B)),multiply(multiply(X_29,X_28),B)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(X_28,divide(divide(multiply(X_29,X_28),inverse(B)),X_29)),inverse(B)) )],[refute_0_454,refute_0_459]) ).
cnf(refute_0_461,plain,
divide(B,inverse(X_28)) = multiply(B,X_28),
inference(subst,[],[refute_0_28:[bind(A,$fot(B)),bind(B,$fot(X_28))]]) ).
cnf(refute_0_462,plain,
divide(X_18,divide(X_18,inverse(B))) = inverse(B),
inference(subst,[],[refute_0_238:[bind(X_11,$fot(X_18)),bind(X_17,$fot(inverse(B)))]]) ).
cnf(refute_0_463,plain,
multiply(X_18,B) = divide(X_18,inverse(B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_18))]]) ).
cnf(refute_0_464,plain,
( multiply(X_18,B) != divide(X_18,inverse(B))
| divide(X_18,inverse(B)) = multiply(X_18,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_18,B))),bind(Y,$fot(divide(X_18,inverse(B))))]]) ).
cnf(refute_0_465,plain,
divide(X_18,inverse(B)) = multiply(X_18,B),
inference(resolve,[$cnf( $equal(multiply(X_18,B),divide(X_18,inverse(B))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
( divide(X_18,divide(X_18,inverse(B))) != inverse(B)
| divide(X_18,inverse(B)) != multiply(X_18,B)
| divide(X_18,multiply(X_18,B)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_18,divide(X_18,inverse(B))),inverse(B)) ),[0,1],$fot(multiply(X_18,B))]]) ).
cnf(refute_0_467,plain,
( divide(X_18,divide(X_18,inverse(B))) != inverse(B)
| divide(X_18,multiply(X_18,B)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_18,inverse(B)),multiply(X_18,B)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
divide(X_18,multiply(X_18,B)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(X_18,divide(X_18,inverse(B))),inverse(B)) )],[refute_0_462,refute_0_467]) ).
cnf(refute_0_469,plain,
divide(X_29,multiply(X_29,X_28)) = inverse(X_28),
inference(subst,[],[refute_0_468:[bind(B,$fot(X_28)),bind(X_18,$fot(X_29))]]) ).
cnf(refute_0_470,plain,
divide(B,divide(X_29,multiply(X_29,X_28))) = divide(B,divide(X_29,multiply(X_29,X_28))),
introduced(tautology,[refl,[$fot(divide(B,divide(X_29,multiply(X_29,X_28))))]]) ).
cnf(refute_0_471,plain,
( divide(B,divide(X_29,multiply(X_29,X_28))) != divide(B,divide(X_29,multiply(X_29,X_28)))
| divide(X_29,multiply(X_29,X_28)) != inverse(X_28)
| divide(B,divide(X_29,multiply(X_29,X_28))) = divide(B,inverse(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(X_29,multiply(X_29,X_28))),divide(B,divide(X_29,multiply(X_29,X_28)))) ),[1,1],$fot(inverse(X_28))]]) ).
cnf(refute_0_472,plain,
( divide(X_29,multiply(X_29,X_28)) != inverse(X_28)
| divide(B,divide(X_29,multiply(X_29,X_28))) = divide(B,inverse(X_28)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(X_29,multiply(X_29,X_28))),divide(B,divide(X_29,multiply(X_29,X_28)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
divide(B,divide(X_29,multiply(X_29,X_28))) = divide(B,inverse(X_28)),
inference(resolve,[$cnf( $equal(divide(X_29,multiply(X_29,X_28)),inverse(X_28)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
( divide(B,divide(X_29,multiply(X_29,X_28))) != divide(B,inverse(X_28))
| divide(B,inverse(X_28)) != multiply(B,X_28)
| divide(B,divide(X_29,multiply(X_29,X_28))) = multiply(B,X_28) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(B,divide(X_29,multiply(X_29,X_28))))),bind(Y,$fot(divide(B,inverse(X_28)))),bind(Z,$fot(multiply(B,X_28)))]]) ).
cnf(refute_0_475,plain,
( divide(B,inverse(X_28)) != multiply(B,X_28)
| divide(B,divide(X_29,multiply(X_29,X_28))) = multiply(B,X_28) ),
inference(resolve,[$cnf( $equal(divide(B,divide(X_29,multiply(X_29,X_28))),divide(B,inverse(X_28))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
divide(B,divide(X_29,multiply(X_29,X_28))) = multiply(B,X_28),
inference(resolve,[$cnf( $equal(divide(B,inverse(X_28)),multiply(B,X_28)) )],[refute_0_461,refute_0_475]) ).
cnf(refute_0_477,plain,
( divide(X_28,divide(X_9,X_29)) != divide(multiply(X_29,X_28),X_9)
| divide(multiply(X_29,X_28),X_9) = divide(X_28,divide(X_9,X_29)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_28,divide(X_9,X_29)))),bind(Y,$fot(divide(multiply(X_29,X_28),X_9)))]]) ).
cnf(refute_0_478,plain,
divide(multiply(X_29,X_28),X_9) = divide(X_28,divide(X_9,X_29)),
inference(resolve,[$cnf( $equal(divide(X_28,divide(X_9,X_29)),divide(multiply(X_29,X_28),X_9)) )],[refute_0_295,refute_0_477]) ).
cnf(refute_0_479,plain,
divide(multiply(multiply(X_29,X_28),B),X_29) = divide(B,divide(X_29,multiply(X_29,X_28))),
inference(subst,[],[refute_0_478:[bind(X_28,$fot(B)),bind(X_29,$fot(multiply(X_29,X_28))),bind(X_9,$fot(X_29))]]) ).
cnf(refute_0_480,plain,
( divide(B,divide(X_29,multiply(X_29,X_28))) != multiply(B,X_28)
| divide(multiply(multiply(X_29,X_28),B),X_29) != divide(B,divide(X_29,multiply(X_29,X_28)))
| divide(multiply(multiply(X_29,X_28),B),X_29) = multiply(B,X_28) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(multiply(multiply(X_29,X_28),B),X_29))),bind(Y,$fot(divide(B,divide(X_29,multiply(X_29,X_28))))),bind(Z,$fot(multiply(B,X_28)))]]) ).
cnf(refute_0_481,plain,
( divide(B,divide(X_29,multiply(X_29,X_28))) != multiply(B,X_28)
| divide(multiply(multiply(X_29,X_28),B),X_29) = multiply(B,X_28) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_29,X_28),B),X_29),divide(B,divide(X_29,multiply(X_29,X_28)))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(multiply(multiply(X_29,X_28),B),X_29) = multiply(B,X_28),
inference(resolve,[$cnf( $equal(divide(B,divide(X_29,multiply(X_29,X_28))),multiply(B,X_28)) )],[refute_0_476,refute_0_481]) ).
cnf(refute_0_483,plain,
divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),
introduced(tautology,[refl,[$fot(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)))]]) ).
cnf(refute_0_484,plain,
( divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) != divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29))
| divide(multiply(multiply(X_29,X_28),B),X_29) != multiply(B,X_28)
| divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = divide(X_28,multiply(B,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29))) ),[1,1],$fot(multiply(B,X_28))]]) ).
cnf(refute_0_485,plain,
( divide(multiply(multiply(X_29,X_28),B),X_29) != multiply(B,X_28)
| divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = divide(X_28,multiply(B,X_28)) ),
inference(resolve,[$cnf( $equal(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) = divide(X_28,multiply(B,X_28)),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_29,X_28),B),X_29),multiply(B,X_28)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) != divide(X_28,multiply(B,X_28))
| divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) != inverse(B)
| divide(X_28,multiply(B,X_28)) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),inverse(B)) ),[0],$fot(divide(X_28,multiply(B,X_28)))]]) ).
cnf(refute_0_488,plain,
( divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)) != inverse(B)
| divide(X_28,multiply(B,X_28)) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),divide(X_28,multiply(B,X_28))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
divide(X_28,multiply(B,X_28)) = inverse(B),
inference(resolve,[$cnf( $equal(divide(X_28,divide(multiply(multiply(X_29,X_28),B),X_29)),inverse(B)) )],[refute_0_460,refute_0_488]) ).
cnf(refute_0_490,plain,
divide(X_49,multiply(B,X_49)) = inverse(B),
inference(subst,[],[refute_0_489:[bind(X_28,$fot(X_49))]]) ).
cnf(refute_0_491,plain,
( divide(X_49,multiply(B,X_49)) != inverse(B)
| inverse(multiply(X_48,divide(divide(X_49,multiply(B,X_49)),multiply(X_48,X_49)))) != multiply(B,X_49)
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(B,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_48,divide(divide(X_49,multiply(B,X_49)),multiply(X_48,X_49)))),multiply(B,X_49)) ),[0,0,1,0],$fot(inverse(B))]]) ).
cnf(refute_0_492,plain,
( inverse(multiply(X_48,divide(divide(X_49,multiply(B,X_49)),multiply(X_48,X_49)))) != multiply(B,X_49)
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(B,X_49) ),
inference(resolve,[$cnf( $equal(divide(X_49,multiply(B,X_49)),inverse(B)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(B,X_49),
inference(resolve,[$cnf( $equal(inverse(multiply(X_48,divide(divide(X_49,multiply(B,X_49)),multiply(X_48,X_49)))),multiply(B,X_49)) )],[refute_0_453,refute_0_492]) ).
cnf(refute_0_494,plain,
divide(multiply(B,multiply(X_48,X_49)),X_48) = multiply(divide(B,X_48),multiply(X_48,X_49)),
inference(subst,[],[refute_0_414:[bind(X_28,$fot(multiply(X_48,X_49))),bind(X_29,$fot(B)),bind(X_9,$fot(X_48))]]) ).
cnf(refute_0_495,plain,
inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) = divide(multiply(B,multiply(X_48,X_49)),X_48),
inference(subst,[],[refute_0_317:[bind(X_17,$fot(X_48)),bind(X_22,$fot(multiply(B,multiply(X_48,X_49))))]]) ).
cnf(refute_0_496,plain,
( divide(multiply(B,multiply(X_48,X_49)),X_48) != multiply(divide(B,X_48),multiply(X_48,X_49))
| inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) != divide(multiply(B,multiply(X_48,X_49)),X_48)
| inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))))),bind(Y,$fot(divide(multiply(B,multiply(X_48,X_49)),X_48))),bind(Z,$fot(multiply(divide(B,X_48),multiply(X_48,X_49))))]]) ).
cnf(refute_0_497,plain,
( divide(multiply(B,multiply(X_48,X_49)),X_48) != multiply(divide(B,X_48),multiply(X_48,X_49))
| inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))),divide(multiply(B,multiply(X_48,X_49)),X_48)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)),
inference(resolve,[$cnf( $equal(divide(multiply(B,multiply(X_48,X_49)),X_48),multiply(divide(B,X_48),multiply(X_48,X_49))) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))) = divide(X_48,multiply(B,multiply(X_48,X_49))),
inference(subst,[],[refute_0_147:[bind(A,$fot(X_48)),bind(X_12,$fot(multiply(B,multiply(X_48,X_49))))]]) ).
cnf(refute_0_500,plain,
divide(inverse(B),multiply(X_48,X_49)) = inverse(multiply(B,multiply(X_48,X_49))),
inference(subst,[],[refute_0_244:[bind(X_17,$fot(multiply(X_48,X_49))),bind(X_24,$fot(B))]]) ).
cnf(refute_0_501,plain,
multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = multiply(X_48,divide(inverse(B),multiply(X_48,X_49))),
introduced(tautology,[refl,[$fot(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))))]]) ).
cnf(refute_0_502,plain,
( multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) != multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))
| divide(inverse(B),multiply(X_48,X_49)) != inverse(multiply(B,multiply(X_48,X_49)))
| multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))),multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) ),[1,1],$fot(inverse(multiply(B,multiply(X_48,X_49))))]]) ).
cnf(refute_0_503,plain,
( divide(inverse(B),multiply(X_48,X_49)) != inverse(multiply(B,multiply(X_48,X_49)))
| multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))),multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))),
inference(resolve,[$cnf( $equal(divide(inverse(B),multiply(X_48,X_49)),inverse(multiply(B,multiply(X_48,X_49)))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
( multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) != multiply(X_48,inverse(multiply(B,multiply(X_48,X_49))))
| multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))) != divide(X_48,multiply(B,multiply(X_48,X_49)))
| multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = divide(X_48,multiply(B,multiply(X_48,X_49))) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))))),bind(Y,$fot(multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))))),bind(Z,$fot(divide(X_48,multiply(B,multiply(X_48,X_49)))))]]) ).
cnf(refute_0_506,plain,
( multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))) != divide(X_48,multiply(B,multiply(X_48,X_49)))
| multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = divide(X_48,multiply(B,multiply(X_48,X_49))) ),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))),multiply(X_48,inverse(multiply(B,multiply(X_48,X_49))))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) = divide(X_48,multiply(B,multiply(X_48,X_49))),
inference(resolve,[$cnf( $equal(multiply(X_48,inverse(multiply(B,multiply(X_48,X_49)))),divide(X_48,multiply(B,multiply(X_48,X_49)))) )],[refute_0_499,refute_0_506]) ).
cnf(refute_0_508,plain,
inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))))]]) ).
cnf(refute_0_509,plain,
( multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) != divide(X_48,multiply(B,multiply(X_48,X_49)))
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) != inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))))
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))))) ),[1,0],$fot(divide(X_48,multiply(B,multiply(X_48,X_49))))]]) ).
cnf(refute_0_510,plain,
( multiply(X_48,divide(inverse(B),multiply(X_48,X_49))) != divide(X_48,multiply(B,multiply(X_48,X_49)))
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))),
inference(resolve,[$cnf( $equal(multiply(X_48,divide(inverse(B),multiply(X_48,X_49))),divide(X_48,multiply(B,multiply(X_48,X_49)))) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
( inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) != inverse(divide(X_48,multiply(B,multiply(X_48,X_49))))
| inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) != multiply(divide(B,X_48),multiply(X_48,X_49))
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))))),bind(Y,$fot(inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))))),bind(Z,$fot(multiply(divide(B,X_48),multiply(X_48,X_49))))]]) ).
cnf(refute_0_513,plain,
( inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))) != multiply(divide(B,X_48),multiply(X_48,X_49))
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),inverse(divide(X_48,multiply(B,multiply(X_48,X_49))))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) = multiply(divide(B,X_48),multiply(X_48,X_49)),
inference(resolve,[$cnf( $equal(inverse(divide(X_48,multiply(B,multiply(X_48,X_49)))),multiply(divide(B,X_48),multiply(X_48,X_49))) )],[refute_0_498,refute_0_513]) ).
cnf(refute_0_515,plain,
( inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) != multiply(B,X_49)
| inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) != multiply(divide(B,X_48),multiply(X_48,X_49))
| multiply(divide(B,X_48),multiply(X_48,X_49)) = multiply(B,X_49) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),multiply(B,X_49)) ),[0],$fot(multiply(divide(B,X_48),multiply(X_48,X_49)))]]) ).
cnf(refute_0_516,plain,
( inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))) != multiply(B,X_49)
| multiply(divide(B,X_48),multiply(X_48,X_49)) = multiply(B,X_49) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),multiply(divide(B,X_48),multiply(X_48,X_49))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(divide(B,X_48),multiply(X_48,X_49)) = multiply(B,X_49),
inference(resolve,[$cnf( $equal(inverse(multiply(X_48,divide(inverse(B),multiply(X_48,X_49)))),multiply(B,X_49)) )],[refute_0_493,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(divide(X_53,X_54),multiply(X_54,divide(X_17,X_54))) = multiply(X_53,divide(X_17,X_54)),
inference(subst,[],[refute_0_517:[bind(B,$fot(X_53)),bind(X_48,$fot(X_54)),bind(X_49,$fot(divide(X_17,X_54)))]]) ).
cnf(refute_0_519,plain,
inverse(divide(divide(X_37,X_17),X_37)) = divide(X_37,divide(X_37,X_17)),
inference(subst,[],[refute_0_317:[bind(X_17,$fot(divide(X_37,X_17))),bind(X_22,$fot(X_37))]]) ).
cnf(refute_0_520,plain,
divide(X_37,divide(X_37,X_17)) = X_17,
inference(subst,[],[refute_0_238:[bind(X_11,$fot(X_37))]]) ).
cnf(refute_0_521,plain,
( divide(X_37,divide(X_37,X_17)) != X_17
| inverse(divide(divide(X_37,X_17),X_37)) != divide(X_37,divide(X_37,X_17))
| inverse(divide(divide(X_37,X_17),X_37)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),divide(X_37,divide(X_37,X_17))) ),[1],$fot(X_17)]]) ).
cnf(refute_0_522,plain,
( inverse(divide(divide(X_37,X_17),X_37)) != divide(X_37,divide(X_37,X_17))
| inverse(divide(divide(X_37,X_17),X_37)) = X_17 ),
inference(resolve,[$cnf( $equal(divide(X_37,divide(X_37,X_17)),X_17) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
inverse(divide(divide(X_37,X_17),X_37)) = X_17,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),divide(X_37,divide(X_37,X_17))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(divide(X_17,X_37),X_37) = multiply(X_37,divide(X_17,X_37)),
inference(subst,[],[refute_0_411:[bind(X_33,$fot(X_37)),bind(X_8,$fot(divide(X_17,X_37)))]]) ).
cnf(refute_0_525,plain,
divide(X_37,divide(X_37,X_17)) = multiply(divide(X_17,X_37),X_37),
inference(subst,[],[refute_0_323:[bind(X_36,$fot(X_37)),bind(X_37,$fot(X_17)),bind(X_8,$fot(X_37))]]) ).
cnf(refute_0_526,plain,
( multiply(divide(X_17,X_37),X_37) != multiply(X_37,divide(X_17,X_37))
| divide(X_37,divide(X_37,X_17)) != multiply(divide(X_17,X_37),X_37)
| divide(X_37,divide(X_37,X_17)) = multiply(X_37,divide(X_17,X_37)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(X_37,divide(X_37,X_17)))),bind(Y,$fot(multiply(divide(X_17,X_37),X_37))),bind(Z,$fot(multiply(X_37,divide(X_17,X_37))))]]) ).
cnf(refute_0_527,plain,
( multiply(divide(X_17,X_37),X_37) != multiply(X_37,divide(X_17,X_37))
| divide(X_37,divide(X_37,X_17)) = multiply(X_37,divide(X_17,X_37)) ),
inference(resolve,[$cnf( $equal(divide(X_37,divide(X_37,X_17)),multiply(divide(X_17,X_37),X_37)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
divide(X_37,divide(X_37,X_17)) = multiply(X_37,divide(X_17,X_37)),
inference(resolve,[$cnf( $equal(multiply(divide(X_17,X_37),X_37),multiply(X_37,divide(X_17,X_37))) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( divide(X_37,divide(X_37,X_17)) != multiply(X_37,divide(X_17,X_37))
| inverse(divide(divide(X_37,X_17),X_37)) != divide(X_37,divide(X_37,X_17))
| inverse(divide(divide(X_37,X_17),X_37)) = multiply(X_37,divide(X_17,X_37)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(divide(divide(X_37,X_17),X_37)))),bind(Y,$fot(divide(X_37,divide(X_37,X_17)))),bind(Z,$fot(multiply(X_37,divide(X_17,X_37))))]]) ).
cnf(refute_0_530,plain,
( divide(X_37,divide(X_37,X_17)) != multiply(X_37,divide(X_17,X_37))
| inverse(divide(divide(X_37,X_17),X_37)) = multiply(X_37,divide(X_17,X_37)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),divide(X_37,divide(X_37,X_17))) )],[refute_0_519,refute_0_529]) ).
cnf(refute_0_531,plain,
inverse(divide(divide(X_37,X_17),X_37)) = multiply(X_37,divide(X_17,X_37)),
inference(resolve,[$cnf( $equal(divide(X_37,divide(X_37,X_17)),multiply(X_37,divide(X_17,X_37))) )],[refute_0_528,refute_0_530]) ).
cnf(refute_0_532,plain,
( inverse(divide(divide(X_37,X_17),X_37)) != X_17
| inverse(divide(divide(X_37,X_17),X_37)) != multiply(X_37,divide(X_17,X_37))
| multiply(X_37,divide(X_17,X_37)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),X_17) ),[0],$fot(multiply(X_37,divide(X_17,X_37)))]]) ).
cnf(refute_0_533,plain,
( inverse(divide(divide(X_37,X_17),X_37)) != X_17
| multiply(X_37,divide(X_17,X_37)) = X_17 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),multiply(X_37,divide(X_17,X_37))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(X_37,divide(X_17,X_37)) = X_17,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_37,X_17),X_37)),X_17) )],[refute_0_523,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(X_54,divide(X_17,X_54)) = X_17,
inference(subst,[],[refute_0_534:[bind(X_37,$fot(X_54))]]) ).
cnf(refute_0_536,plain,
( multiply(X_54,divide(X_17,X_54)) != X_17
| multiply(divide(X_53,X_54),multiply(X_54,divide(X_17,X_54))) != multiply(X_53,divide(X_17,X_54))
| multiply(divide(X_53,X_54),X_17) = multiply(X_53,divide(X_17,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_53,X_54),multiply(X_54,divide(X_17,X_54))),multiply(X_53,divide(X_17,X_54))) ),[0,1],$fot(X_17)]]) ).
cnf(refute_0_537,plain,
( multiply(divide(X_53,X_54),multiply(X_54,divide(X_17,X_54))) != multiply(X_53,divide(X_17,X_54))
| multiply(divide(X_53,X_54),X_17) = multiply(X_53,divide(X_17,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(X_54,divide(X_17,X_54)),X_17) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(divide(X_53,X_54),X_17) = multiply(X_53,divide(X_17,X_54)),
inference(resolve,[$cnf( $equal(multiply(divide(X_53,X_54),multiply(X_54,divide(X_17,X_54))),multiply(X_53,divide(X_17,X_54))) )],[refute_0_518,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(divide(X_29,X_9),X_28) = multiply(X_29,divide(X_28,X_9)),
inference(subst,[],[refute_0_538:[bind(X_17,$fot(X_28)),bind(X_53,$fot(X_29)),bind(X_54,$fot(X_9))]]) ).
cnf(refute_0_540,plain,
( multiply(divide(X_29,X_9),X_28) != multiply(X_29,divide(X_28,X_9))
| multiply(divide(X_29,X_9),X_28) != divide(multiply(X_29,X_28),X_9)
| multiply(X_29,divide(X_28,X_9)) = divide(multiply(X_29,X_28),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_29,X_9),X_28),divide(multiply(X_29,X_28),X_9)) ),[0],$fot(multiply(X_29,divide(X_28,X_9)))]]) ).
cnf(refute_0_541,plain,
( multiply(divide(X_29,X_9),X_28) != divide(multiply(X_29,X_28),X_9)
| multiply(X_29,divide(X_28,X_9)) = divide(multiply(X_29,X_28),X_9) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_9),X_28),multiply(X_29,divide(X_28,X_9))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(X_29,divide(X_28,X_9)) = divide(multiply(X_29,X_28),X_9),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_9),X_28),divide(multiply(X_29,X_28),X_9)) )],[refute_0_327,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X_78,divide(X_77,inverse(B))) = divide(multiply(X_78,X_77),inverse(B)),
inference(subst,[],[refute_0_542:[bind(X_28,$fot(X_77)),bind(X_29,$fot(X_78)),bind(X_9,$fot(inverse(B)))]]) ).
cnf(refute_0_544,plain,
( multiply(X_78,divide(X_77,inverse(B))) != divide(multiply(X_78,X_77),inverse(B))
| divide(multiply(X_78,X_77),inverse(B)) = multiply(X_78,divide(X_77,inverse(B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_78,divide(X_77,inverse(B))))),bind(Y,$fot(divide(multiply(X_78,X_77),inverse(B))))]]) ).
cnf(refute_0_545,plain,
divide(multiply(X_78,X_77),inverse(B)) = multiply(X_78,divide(X_77,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_77,inverse(B))),divide(multiply(X_78,X_77),inverse(B))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( multiply(multiply(X_78,X_77),B) != divide(multiply(X_78,X_77),inverse(B))
| divide(multiply(X_78,X_77),inverse(B)) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(multiply(X_78,X_77),B) = multiply(X_78,divide(X_77,inverse(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_78,X_77),B),multiply(X_78,divide(X_77,inverse(B)))) ),[0],$fot(divide(multiply(X_78,X_77),inverse(B)))]]) ).
cnf(refute_0_547,plain,
( multiply(multiply(X_78,X_77),B) != divide(multiply(X_78,X_77),inverse(B))
| multiply(multiply(X_78,X_77),B) = multiply(X_78,divide(X_77,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_78,X_77),inverse(B)),multiply(X_78,divide(X_77,inverse(B)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiply(multiply(X_78,X_77),B) = multiply(X_78,divide(X_77,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,X_77),B),divide(multiply(X_78,X_77),inverse(B))) )],[refute_0_264,refute_0_547]) ).
cnf(refute_0_549,plain,
inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))))),
inference(subst,[],[refute_0_397:[bind(X_33,$fot(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))))]]) ).
cnf(refute_0_550,plain,
inverse(X_42) = multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),
inference(subst,[],[refute_0_397:[bind(X_31,$fot(X_40)),bind(X_32,$fot(multiply(X_31,X_32))),bind(X_33,$fot(X_42))]]) ).
cnf(refute_0_551,plain,
( inverse(X_42) != multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))
| multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = inverse(X_42) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_42))),bind(Y,$fot(multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))))]]) ).
cnf(refute_0_552,plain,
multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = inverse(X_42),
inference(resolve,[$cnf( $equal(inverse(X_42),multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
( multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != inverse(X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))))
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(X_32,divide(X_31,inverse(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))))) ),[1,1,1],$fot(inverse(X_42))]]) ).
cnf(refute_0_554,plain,
( inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))))
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(X_32,divide(X_31,inverse(X_42))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),inverse(X_42)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(X_32,divide(X_31,inverse(X_42))),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(X_32,divide(X_31,multiply(multiply(X_31,X_32),divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))))) )],[refute_0_549,refute_0_554]) ).
cnf(refute_0_556,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_127:[bind(X_11,$fot(X_3))]]) ).
cnf(refute_0_557,plain,
( inverse(inverse(X_3)) != X_3
| inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) ),[0],$fot(X_3)]]) ).
cnf(refute_0_558,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| X_3 = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
X_3 = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_82,refute_0_558]) ).
cnf(refute_0_560,plain,
( X_3 != multiply(identity,X_3)
| multiply(identity,X_3) = X_3 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_3)),bind(Y,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_561,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,multiply(identity,X_3)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(identity,multiply(X_31,X_32)) = multiply(X_31,X_32),
inference(subst,[],[refute_0_561:[bind(X_3,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_563,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_564,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_563]) ).
cnf(refute_0_565,plain,
divide(X_40,X_40) = identity,
inference(subst,[],[refute_0_564:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_566,plain,
multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(divide(X_40,X_40),multiply(X_31,X_32)),
introduced(tautology,[refl,[$fot(multiply(divide(X_40,X_40),multiply(X_31,X_32)))]]) ).
cnf(refute_0_567,plain,
( multiply(divide(X_40,X_40),multiply(X_31,X_32)) != multiply(divide(X_40,X_40),multiply(X_31,X_32))
| divide(X_40,X_40) != identity
| multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(identity,multiply(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_40,X_40),multiply(X_31,X_32)),multiply(divide(X_40,X_40),multiply(X_31,X_32))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_568,plain,
( divide(X_40,X_40) != identity
| multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(identity,multiply(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_40,X_40),multiply(X_31,X_32)),multiply(divide(X_40,X_40),multiply(X_31,X_32))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(identity,multiply(X_31,X_32)),
inference(resolve,[$cnf( $equal(divide(X_40,X_40),identity) )],[refute_0_565,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiply(divide(X_40,X_40),multiply(X_31,X_32)) != multiply(identity,multiply(X_31,X_32))
| multiply(identity,multiply(X_31,X_32)) != multiply(X_31,X_32)
| multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(X_31,X_32) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(divide(X_40,X_40),multiply(X_31,X_32)))),bind(Y,$fot(multiply(identity,multiply(X_31,X_32)))),bind(Z,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_571,plain,
( multiply(identity,multiply(X_31,X_32)) != multiply(X_31,X_32)
| multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(X_31,X_32) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_40,X_40),multiply(X_31,X_32)),multiply(identity,multiply(X_31,X_32))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
multiply(divide(X_40,X_40),multiply(X_31,X_32)) = multiply(X_31,X_32),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_31,X_32)),multiply(X_31,X_32)) )],[refute_0_562,refute_0_571]) ).
cnf(refute_0_573,plain,
divide(multiply(X_40,multiply(X_31,X_32)),X_40) = multiply(divide(X_40,X_40),multiply(X_31,X_32)),
inference(subst,[],[refute_0_414:[bind(X_28,$fot(multiply(X_31,X_32))),bind(X_29,$fot(X_40)),bind(X_9,$fot(X_40))]]) ).
cnf(refute_0_574,plain,
( multiply(divide(X_40,X_40),multiply(X_31,X_32)) != multiply(X_31,X_32)
| divide(multiply(X_40,multiply(X_31,X_32)),X_40) != multiply(divide(X_40,X_40),multiply(X_31,X_32))
| divide(multiply(X_40,multiply(X_31,X_32)),X_40) = multiply(X_31,X_32) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(divide(multiply(X_40,multiply(X_31,X_32)),X_40))),bind(Y,$fot(multiply(divide(X_40,X_40),multiply(X_31,X_32)))),bind(Z,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_575,plain,
( multiply(divide(X_40,X_40),multiply(X_31,X_32)) != multiply(X_31,X_32)
| divide(multiply(X_40,multiply(X_31,X_32)),X_40) = multiply(X_31,X_32) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_40,multiply(X_31,X_32)),X_40),multiply(divide(X_40,X_40),multiply(X_31,X_32))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
divide(multiply(X_40,multiply(X_31,X_32)),X_40) = multiply(X_31,X_32),
inference(resolve,[$cnf( $equal(multiply(divide(X_40,X_40),multiply(X_31,X_32)),multiply(X_31,X_32)) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) = multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),
introduced(tautology,[refl,[$fot(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42))]]) ).
cnf(refute_0_578,plain,
( multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) != multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)
| divide(multiply(X_40,multiply(X_31,X_32)),X_40) != multiply(X_31,X_32)
| multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) = multiply(multiply(X_31,X_32),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)) ),[1,0],$fot(multiply(X_31,X_32))]]) ).
cnf(refute_0_579,plain,
( divide(multiply(X_40,multiply(X_31,X_32)),X_40) != multiply(X_31,X_32)
| multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) = multiply(multiply(X_31,X_32),X_42) ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) = multiply(multiply(X_31,X_32),X_42),
inference(resolve,[$cnf( $equal(divide(multiply(X_40,multiply(X_31,X_32)),X_40),multiply(X_31,X_32)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40) = multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),
inference(subst,[],[refute_0_414:[bind(X_28,$fot(X_42)),bind(X_29,$fot(multiply(X_40,multiply(X_31,X_32)))),bind(X_9,$fot(X_40))]]) ).
cnf(refute_0_582,plain,
inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40),
inference(subst,[],[refute_0_317:[bind(X_17,$fot(X_40)),bind(X_22,$fot(multiply(multiply(X_40,multiply(X_31,X_32)),X_42)))]]) ).
cnf(refute_0_583,plain,
( divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40) != multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))))),bind(Y,$fot(divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40))),bind(Z,$fot(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)))]]) ).
cnf(refute_0_584,plain,
( divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40) != multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_40,multiply(X_31,X_32)),X_42),X_40),multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
( multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) != multiply(multiply(X_31,X_32),X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(multiply(X_31,X_32),X_42) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))))),bind(Y,$fot(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42))),bind(Z,$fot(multiply(multiply(X_31,X_32),X_42)))]]) ).
cnf(refute_0_587,plain,
( multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42) != multiply(multiply(X_31,X_32),X_42)
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(multiply(X_31,X_32),X_42) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) = multiply(multiply(X_31,X_32),X_42),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_40,multiply(X_31,X_32)),X_40),X_42),multiply(multiply(X_31,X_32),X_42)) )],[refute_0_580,refute_0_587]) ).
cnf(refute_0_589,plain,
( inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(X_32,divide(X_31,inverse(X_42)))
| inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(multiply(X_31,X_32),X_42)
| multiply(multiply(X_31,X_32),X_42) = multiply(X_32,divide(X_31,inverse(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(X_32,divide(X_31,inverse(X_42)))) ),[0],$fot(multiply(multiply(X_31,X_32),X_42))]]) ).
cnf(refute_0_590,plain,
( inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(X_32,divide(X_31,inverse(X_42)))
| multiply(multiply(X_31,X_32),X_42) = multiply(X_32,divide(X_31,inverse(X_42))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(multiply(X_31,X_32),X_42)) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
divide(X_31,inverse(X_42)) = multiply(X_31,X_42),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_31)),bind(B,$fot(X_42))]]) ).
cnf(refute_0_592,plain,
multiply(X_32,divide(X_31,inverse(X_42))) = multiply(X_32,divide(X_31,inverse(X_42))),
introduced(tautology,[refl,[$fot(multiply(X_32,divide(X_31,inverse(X_42))))]]) ).
cnf(refute_0_593,plain,
( multiply(X_32,divide(X_31,inverse(X_42))) != multiply(X_32,divide(X_31,inverse(X_42)))
| divide(X_31,inverse(X_42)) != multiply(X_31,X_42)
| multiply(X_32,divide(X_31,inverse(X_42))) = multiply(X_32,multiply(X_31,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,divide(X_31,inverse(X_42))),multiply(X_32,divide(X_31,inverse(X_42)))) ),[1,1],$fot(multiply(X_31,X_42))]]) ).
cnf(refute_0_594,plain,
( divide(X_31,inverse(X_42)) != multiply(X_31,X_42)
| multiply(X_32,divide(X_31,inverse(X_42))) = multiply(X_32,multiply(X_31,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_31,inverse(X_42))),multiply(X_32,divide(X_31,inverse(X_42)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(X_32,divide(X_31,inverse(X_42))) = multiply(X_32,multiply(X_31,X_42)),
inference(resolve,[$cnf( $equal(divide(X_31,inverse(X_42)),multiply(X_31,X_42)) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
( multiply(X_32,divide(X_31,inverse(X_42))) != multiply(X_32,multiply(X_31,X_42))
| multiply(multiply(X_31,X_32),X_42) != multiply(X_32,divide(X_31,inverse(X_42)))
| multiply(multiply(X_31,X_32),X_42) = multiply(X_32,multiply(X_31,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_31,X_32),X_42),multiply(X_32,divide(X_31,inverse(X_42)))) ),[1],$fot(multiply(X_32,multiply(X_31,X_42)))]]) ).
cnf(refute_0_597,plain,
( multiply(multiply(X_31,X_32),X_42) != multiply(X_32,divide(X_31,inverse(X_42)))
| multiply(multiply(X_31,X_32),X_42) = multiply(X_32,multiply(X_31,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(X_32,divide(X_31,inverse(X_42))),multiply(X_32,multiply(X_31,X_42))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
( inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))) != multiply(X_32,divide(X_31,inverse(X_42)))
| multiply(multiply(X_31,X_32),X_42) = multiply(X_32,multiply(X_31,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_31,X_32),X_42),multiply(X_32,divide(X_31,inverse(X_42)))) )],[refute_0_590,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(multiply(X_31,X_32),X_42) = multiply(X_32,multiply(X_31,X_42)),
inference(resolve,[$cnf( $equal(inverse(divide(X_40,multiply(multiply(X_40,multiply(X_31,X_32)),X_42))),multiply(X_32,divide(X_31,inverse(X_42)))) )],[refute_0_555,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(multiply(X_78,X_77),B) = multiply(X_77,multiply(X_78,B)),
inference(subst,[],[refute_0_599:[bind(X_31,$fot(X_78)),bind(X_32,$fot(X_77)),bind(X_42,$fot(B))]]) ).
cnf(refute_0_601,plain,
( multiply(multiply(X_78,X_77),B) != multiply(X_77,multiply(X_78,B))
| multiply(multiply(X_78,X_77),B) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(X_77,multiply(X_78,B)) = multiply(X_78,divide(X_77,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_78,X_77),B),multiply(X_78,divide(X_77,inverse(B)))) ),[0],$fot(multiply(X_77,multiply(X_78,B)))]]) ).
cnf(refute_0_602,plain,
( multiply(multiply(X_78,X_77),B) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(X_77,multiply(X_78,B)) = multiply(X_78,divide(X_77,inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,X_77),B),multiply(X_77,multiply(X_78,B))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
divide(X_77,inverse(B)) = multiply(X_77,B),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_77))]]) ).
cnf(refute_0_604,plain,
multiply(X_78,divide(X_77,inverse(B))) = multiply(X_78,divide(X_77,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_78,divide(X_77,inverse(B))))]]) ).
cnf(refute_0_605,plain,
( multiply(X_78,divide(X_77,inverse(B))) != multiply(X_78,divide(X_77,inverse(B)))
| divide(X_77,inverse(B)) != multiply(X_77,B)
| multiply(X_78,divide(X_77,inverse(B))) = multiply(X_78,multiply(X_77,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,divide(X_77,inverse(B))),multiply(X_78,divide(X_77,inverse(B)))) ),[1,1],$fot(multiply(X_77,B))]]) ).
cnf(refute_0_606,plain,
( divide(X_77,inverse(B)) != multiply(X_77,B)
| multiply(X_78,divide(X_77,inverse(B))) = multiply(X_78,multiply(X_77,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_77,inverse(B))),multiply(X_78,divide(X_77,inverse(B)))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(X_78,divide(X_77,inverse(B))) = multiply(X_78,multiply(X_77,B)),
inference(resolve,[$cnf( $equal(divide(X_77,inverse(B)),multiply(X_77,B)) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
( multiply(X_77,multiply(X_78,B)) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(X_78,divide(X_77,inverse(B))) != multiply(X_78,multiply(X_77,B))
| multiply(X_77,multiply(X_78,B)) = multiply(X_78,multiply(X_77,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_77,multiply(X_78,B)),multiply(X_78,multiply(X_77,B))) ),[0],$fot(multiply(X_78,divide(X_77,inverse(B))))]]) ).
cnf(refute_0_609,plain,
( multiply(X_77,multiply(X_78,B)) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(X_77,multiply(X_78,B)) = multiply(X_78,multiply(X_77,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_77,inverse(B))),multiply(X_78,multiply(X_77,B))) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
( multiply(multiply(X_78,X_77),B) != multiply(X_78,divide(X_77,inverse(B)))
| multiply(X_77,multiply(X_78,B)) = multiply(X_78,multiply(X_77,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_77,multiply(X_78,B)),multiply(X_78,divide(X_77,inverse(B)))) )],[refute_0_602,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(X_77,multiply(X_78,B)) = multiply(X_78,multiply(X_77,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,X_77),B),multiply(X_78,divide(X_77,inverse(B)))) )],[refute_0_548,refute_0_610]) ).
cnf(refute_0_612,plain,
( multiply(X_77,multiply(X_78,B)) != multiply(X_78,multiply(X_77,B))
| multiply(X_78,multiply(X_77,B)) = multiply(X_77,multiply(X_78,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_77,multiply(X_78,B)))),bind(Y,$fot(multiply(X_78,multiply(X_77,B))))]]) ).
cnf(refute_0_613,plain,
multiply(X_78,multiply(X_77,B)) = multiply(X_77,multiply(X_78,B)),
inference(resolve,[$cnf( $equal(multiply(X_77,multiply(X_78,B)),multiply(X_78,multiply(X_77,B))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_613:[bind(B,$fot(b3)),bind(X_77,$fot(a3)),bind(X_78,$fot(c3))]]) ).
cnf(refute_0_615,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(a3,multiply(c3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_616,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_263,refute_0_616]) ).
cnf(refute_0_618,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_619,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_619,refute_0_140]) ).
cnf(refute_0_621,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_622,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_621,refute_0_620]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:13:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.42/0.59
%------------------------------------------------------------------------------