TSTP Solution File: GRP608-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 10:43:54 EDT 2022
% Result : Unsatisfiable 0.22s 0.58s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 58
% Syntax : Number of clauses : 233 ( 125 unt; 0 nHn; 103 RR)
% Number of literals : 390 ( 389 equ; 159 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 615 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
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( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(inverse(B),double_divide(A,C))) = multiply(double_divide(A,C),inverse(B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(A,C))),bind(B,$fot(inverse(B)))]]) ).
cnf(refute_0_6,plain,
multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) = multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A))]]) ).
cnf(refute_0_7,plain,
( multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) != multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A)
| inverse(double_divide(inverse(B),double_divide(A,C))) != multiply(double_divide(A,C),inverse(B))
| multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) = multiply(multiply(double_divide(A,C),inverse(B)),A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A),multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A)) ),[1,0],$fot(multiply(double_divide(A,C),inverse(B)))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(inverse(B),double_divide(A,C))) != multiply(double_divide(A,C),inverse(B))
| multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) = multiply(multiply(double_divide(A,C),inverse(B)),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A),multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) = multiply(multiply(double_divide(A,C),inverse(B)),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(B),double_divide(A,C))),multiply(double_divide(A,C),inverse(B))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) = multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(double_divide(inverse(B),double_divide(A,C))))),bind(B,$fot(A))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) != multiply(multiply(double_divide(A,C),inverse(B)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) != multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A)
| inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) = multiply(multiply(double_divide(A,C),inverse(B)),A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))))),bind(Y,$fot(multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A))),bind(Z,$fot(multiply(multiply(double_divide(A,C),inverse(B)),A)))]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A) != multiply(multiply(double_divide(A,C),inverse(B)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) = multiply(multiply(double_divide(A,C),inverse(B)),A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) = multiply(multiply(double_divide(A,C),inverse(B)),A),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(B),double_divide(A,C))),A),multiply(multiply(double_divide(A,C),inverse(B)),A)) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C))]]) ).
cnf(refute_0_17,plain,
( double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) != double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C)
| inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) != multiply(multiply(double_divide(A,C),inverse(B)),A)
| double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C)) ),[1,0],$fot(multiply(multiply(double_divide(A,C),inverse(B)),A))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))) != multiply(multiply(double_divide(A,C),inverse(B)),A)
| double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),multiply(multiply(double_divide(A,C),inverse(B)),A)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) != B
| double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) != double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C)
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),B) ),[0],$fot(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C))]]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) != B
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C),B) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4) = double_divide(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_24,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,B)),X_2),X_4) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4),double_divide(B,A)) ),[0,0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_25,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4) != double_divide(B,A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,B)),X_2),X_4) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,B)),X_2),X_4) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4),double_divide(B,A)) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23))))),X_2),X_4) = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)),
inference(subst,[],[refute_0_26:[bind(A,$fot(inverse(X_23))),bind(B,$fot(inverse(multiply(X_22,inverse(X_23)))))]]) ).
cnf(refute_0_28,plain,
multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) = inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A)),
inference(subst,[],[multiply:[bind(B,$fot(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)))]]) ).
cnf(refute_0_29,plain,
double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A) = X_3,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(A))]]) ).
cnf(refute_0_30,plain,
( multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) != inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A))
| double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A) != X_3
| multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)),inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_31,plain,
( multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) != inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A))
| multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A),X_3) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)),inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) = inverse(X_7),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_5)),bind(X_2,$fot(multiply(multiply(double_divide(A,X_5),inverse(B)),A))),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_34,plain,
double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5) = B,
inference(subst,[],[refute_0_22:[bind(C,$fot(X_5))]]) ).
cnf(refute_0_35,plain,
( multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) != inverse(X_7)
| double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5) != B
| multiply(X_5,multiply(multiply(B,inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))),inverse(X_7)) ),[0,1,0,0],$fot(B)]]) ).
cnf(refute_0_36,plain,
( multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) != inverse(X_7)
| multiply(X_5,multiply(multiply(B,inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),B) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(X_5,multiply(multiply(B,inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))),inverse(X_7)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiply(X_17,inverse(X_19)),multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16))) = inverse(X_19),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_16)),bind(B,$fot(X_17)),bind(X_5,$fot(multiply(X_17,inverse(X_19)))),bind(X_7,$fot(X_19))]]) ).
cnf(refute_0_39,plain,
multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16)) = inverse(X_17),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiply(X_17,inverse(X_19)))),bind(X_2,$fot(X_16)),bind(X_3,$fot(X_17))]]) ).
cnf(refute_0_40,plain,
( multiply(multiply(X_17,inverse(X_19)),multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16))) != inverse(X_19)
| multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16)) != inverse(X_17)
| multiply(multiply(X_17,inverse(X_19)),inverse(X_17)) = inverse(X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_17,inverse(X_19)),multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16))),inverse(X_19)) ),[0,1],$fot(inverse(X_17))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(X_17,inverse(X_19)),multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16))) != inverse(X_19)
| multiply(multiply(X_17,inverse(X_19)),inverse(X_17)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16)),inverse(X_17)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(multiply(X_17,inverse(X_19)),inverse(X_17)) = inverse(X_19),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_19)),multiply(multiply(X_17,inverse(X_19)),multiply(multiply(double_divide(X_16,multiply(X_17,inverse(X_19))),inverse(X_17)),X_16))),inverse(X_19)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(multiply(X_19,inverse(X_21)))) = inverse(X_19),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(multiply(X_19,inverse(X_21))))]]) ).
cnf(refute_0_44,plain,
multiply(multiply(X_19,inverse(X_21)),inverse(X_19)) = inverse(X_21),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(X_19)),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(X_19,inverse(X_21)),inverse(X_19)) != inverse(X_21)
| multiply(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(multiply(X_19,inverse(X_21)))) != inverse(X_19)
| multiply(inverse(X_21),inverse(multiply(X_19,inverse(X_21)))) = inverse(X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(multiply(X_19,inverse(X_21)))),inverse(X_19)) ),[0,0],$fot(inverse(X_21))]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(multiply(X_19,inverse(X_21)))) != inverse(X_19)
| multiply(inverse(X_21),inverse(multiply(X_19,inverse(X_21)))) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(X_21)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(X_21),inverse(multiply(X_19,inverse(X_21)))) = inverse(X_19),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_19,inverse(X_21)),inverse(X_19)),inverse(multiply(X_19,inverse(X_21)))),inverse(X_19)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23)))) = inverse(X_22),
inference(subst,[],[refute_0_47:[bind(X_19,$fot(X_22)),bind(X_21,$fot(X_23))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23)))) != inverse(X_22)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23))))),X_2),X_4) != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23))))),X_2),X_4),double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))) ),[0,0,0,1],$fot(inverse(X_22))]]) ).
cnf(refute_0_50,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23))))),X_2),X_4) != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23)))),inverse(X_22)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(inverse(X_23),inverse(multiply(X_22,inverse(X_23))))),X_2),X_4),double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))) )],[refute_0_27,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) = X_22,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_22)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_53,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) != X_22
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| X_22 = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4),double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))) ),[0],$fot(X_22)]]) ).
cnf(refute_0_54,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4) != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| X_22 = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4),X_22) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
X_22 = double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_22)),X_2),X_4),double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(X_25,inverse(X_19)) = double_divide(inverse(multiply(multiply(X_25,inverse(X_19)),inverse(X_25))),inverse(X_25)),
inference(subst,[],[refute_0_55:[bind(X_22,$fot(multiply(X_25,inverse(X_19)))),bind(X_23,$fot(X_25))]]) ).
cnf(refute_0_57,plain,
multiply(multiply(X_25,inverse(X_19)),inverse(X_25)) = inverse(X_19),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(X_25))]]) ).
cnf(refute_0_58,plain,
( multiply(X_25,inverse(X_19)) != double_divide(inverse(multiply(multiply(X_25,inverse(X_19)),inverse(X_25))),inverse(X_25))
| multiply(multiply(X_25,inverse(X_19)),inverse(X_25)) != inverse(X_19)
| multiply(X_25,inverse(X_19)) = double_divide(inverse(inverse(X_19)),inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_25,inverse(X_19)),double_divide(inverse(multiply(multiply(X_25,inverse(X_19)),inverse(X_25))),inverse(X_25))) ),[1,0,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_59,plain,
( multiply(X_25,inverse(X_19)) != double_divide(inverse(multiply(multiply(X_25,inverse(X_19)),inverse(X_25))),inverse(X_25))
| multiply(X_25,inverse(X_19)) = double_divide(inverse(inverse(X_19)),inverse(X_25)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_25,inverse(X_19)),inverse(X_25)),inverse(X_19)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(X_25,inverse(X_19)) = double_divide(inverse(inverse(X_19)),inverse(X_25)),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_19)),double_divide(inverse(multiply(multiply(X_25,inverse(X_19)),inverse(X_25))),inverse(X_25))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(X_31,inverse(double_divide(B,A))) = double_divide(inverse(inverse(double_divide(B,A))),inverse(X_31)),
inference(subst,[],[refute_0_60:[bind(X_19,$fot(double_divide(B,A))),bind(X_25,$fot(X_31))]]) ).
cnf(refute_0_62,plain,
( multiply(X_31,inverse(double_divide(B,A))) != double_divide(inverse(inverse(double_divide(B,A))),inverse(X_31))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_31,inverse(double_divide(B,A))) = double_divide(inverse(multiply(A,B)),inverse(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),double_divide(inverse(inverse(double_divide(B,A))),inverse(X_31))) ),[1,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_63,plain,
( multiply(X_31,inverse(double_divide(B,A))) != double_divide(inverse(inverse(double_divide(B,A))),inverse(X_31))
| multiply(X_31,inverse(double_divide(B,A))) = double_divide(inverse(multiply(A,B)),inverse(X_31)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(X_31,inverse(double_divide(B,A))) = double_divide(inverse(multiply(A,B)),inverse(X_31)),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),double_divide(inverse(inverse(double_divide(B,A))),inverse(X_31))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(X_31,inverse(double_divide(B,A))) = multiply(X_31,inverse(double_divide(B,A))),
introduced(tautology,[refl,[$fot(multiply(X_31,inverse(double_divide(B,A))))]]) ).
cnf(refute_0_66,plain,
( multiply(X_31,inverse(double_divide(B,A))) != multiply(X_31,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_31,inverse(double_divide(B,A))) = multiply(X_31,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),multiply(X_31,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_67,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_31,inverse(double_divide(B,A))) = multiply(X_31,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),multiply(X_31,inverse(double_divide(B,A)))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(X_31,inverse(double_divide(B,A))) = multiply(X_31,multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(X_31,inverse(double_divide(B,A))) != multiply(X_31,multiply(A,B))
| multiply(X_31,inverse(double_divide(B,A))) != double_divide(inverse(multiply(A,B)),inverse(X_31))
| multiply(X_31,multiply(A,B)) = double_divide(inverse(multiply(A,B)),inverse(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),double_divide(inverse(multiply(A,B)),inverse(X_31))) ),[0],$fot(multiply(X_31,multiply(A,B)))]]) ).
cnf(refute_0_70,plain,
( multiply(X_31,inverse(double_divide(B,A))) != double_divide(inverse(multiply(A,B)),inverse(X_31))
| multiply(X_31,multiply(A,B)) = double_divide(inverse(multiply(A,B)),inverse(X_31)) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),multiply(X_31,multiply(A,B))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(X_31,multiply(A,B)) = double_divide(inverse(multiply(A,B)),inverse(X_31)),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(double_divide(B,A))),double_divide(inverse(multiply(A,B)),inverse(X_31))) )],[refute_0_64,refute_0_70]) ).
cnf(refute_0_72,plain,
( multiply(X_31,multiply(A,B)) != double_divide(inverse(multiply(A,B)),inverse(X_31))
| double_divide(inverse(multiply(A,B)),inverse(X_31)) = multiply(X_31,multiply(A,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_31,multiply(A,B)))),bind(Y,$fot(double_divide(inverse(multiply(A,B)),inverse(X_31))))]]) ).
cnf(refute_0_73,plain,
double_divide(inverse(multiply(A,B)),inverse(X_31)) = multiply(X_31,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(A,B)),double_divide(inverse(multiply(A,B)),inverse(X_31))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) = multiply(X_23,multiply(X_22,inverse(X_23))),
inference(subst,[],[refute_0_73:[bind(A,$fot(X_22)),bind(B,$fot(inverse(X_23))),bind(X_31,$fot(X_23))]]) ).
cnf(refute_0_75,plain,
( X_22 != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)) != multiply(X_23,multiply(X_22,inverse(X_23)))
| X_22 = multiply(X_23,multiply(X_22,inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_22,multiply(X_23,multiply(X_22,inverse(X_23)))) ),[0],$fot(double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)))]]) ).
cnf(refute_0_76,plain,
( X_22 != double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))
| X_22 = multiply(X_23,multiply(X_22,inverse(X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23)),multiply(X_23,multiply(X_22,inverse(X_23)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
X_22 = multiply(X_23,multiply(X_22,inverse(X_23))),
inference(resolve,[$cnf( $equal(X_22,double_divide(inverse(multiply(X_22,inverse(X_23))),inverse(X_23))) )],[refute_0_55,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(X_83,inverse(inverse(X_23))) = multiply(X_23,multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(multiply(X_83,inverse(inverse(X_23)))))]]) ).
cnf(refute_0_79,plain,
double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)))]]) ).
cnf(refute_0_80,plain,
double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C) = X_3,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_81,plain,
( double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C) != X_3
| double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) != B
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C),B) ),[0,0,0,0],$fot(X_3)]]) ).
cnf(refute_0_82,plain,
( double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) != B
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),X_3) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C),B) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) = X_36,
inference(subst,[],[refute_0_83:[bind(B,$fot(X_36)),bind(C,$fot(multiply(X_20,inverse(X_21)))),bind(X_2,$fot(inverse(X_20))),bind(X_3,$fot(X_39))]]) ).
cnf(refute_0_85,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_20,inverse(X_21)),inverse(X_20))),X_2),X_4) = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiply(X_20,inverse(X_21)))),bind(B,$fot(inverse(X_20)))]]) ).
cnf(refute_0_86,plain,
multiply(multiply(X_20,inverse(X_21)),inverse(X_20)) = inverse(X_21),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(X_20)),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_87,plain,
( multiply(multiply(X_20,inverse(X_21)),inverse(X_20)) != inverse(X_21)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_20,inverse(X_21)),inverse(X_20))),X_2),X_4) != double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_20,inverse(X_21)),inverse(X_20))),X_2),X_4),double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))) ),[0,0,0,1],$fot(inverse(X_21))]]) ).
cnf(refute_0_88,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_20,inverse(X_21)),inverse(X_20))),X_2),X_4) != double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_20,inverse(X_21)),inverse(X_20)),inverse(X_21)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_20,inverse(X_21)),inverse(X_20))),X_2),X_4),double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) = X_21,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_21)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_91,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) != X_21
| double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) != double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))
| X_21 = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4),double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))) ),[0],$fot(X_21)]]) ).
cnf(refute_0_92,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4) != double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))
| X_21 = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4),X_21) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
X_21 = double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(X_21)),X_2),X_4),double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( X_21 != double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))
| double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) = X_21 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_21)),bind(Y,$fot(double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))))]]) ).
cnf(refute_0_95,plain,
double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) = X_21,
inference(resolve,[$cnf( $equal(X_21,double_divide(inverse(X_20),multiply(X_20,inverse(X_21)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) != X_36
| double_divide(inverse(X_20),multiply(X_20,inverse(X_21))) != X_21
| double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(X_21,inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))),X_36) ),[0,0,1,0,0],$fot(X_21)]]) ).
cnf(refute_0_97,plain,
( double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) != X_36
| double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(X_21,inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) = X_36 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),X_21) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(X_21,inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))) = X_36,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_39,inverse(X_36)),multiply(multiply(double_divide(inverse(X_20),multiply(X_20,inverse(X_21))),inverse(X_39)),inverse(X_20))),multiply(X_20,inverse(X_21))),X_36) )],[refute_0_84,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(multiply(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = X_61,
inference(subst,[],[refute_0_98:[bind(X_20,$fot(multiply(X_60,inverse(X_62)))),bind(X_21,$fot(X_60)),bind(X_36,$fot(X_61)),bind(X_39,$fot(X_62))]]) ).
cnf(refute_0_100,plain,
double_divide(inverse(X_53),X_53) = multiply(X_23,multiply(double_divide(inverse(X_53),X_53),inverse(X_23))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(double_divide(inverse(X_53),X_53)))]]) ).
cnf(refute_0_101,plain,
multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) = inverse(X_3),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(inverse(A)))]]) ).
cnf(refute_0_102,plain,
multiply(double_divide(inverse(A),A),inverse(X_3)) = multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(multiply(double_divide(inverse(A),A),inverse(X_3)))),bind(X_23,$fot(A))]]) ).
cnf(refute_0_103,plain,
( multiply(double_divide(inverse(A),A),inverse(X_3)) != multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A)))
| multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) = multiply(double_divide(inverse(A),A),inverse(X_3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(double_divide(inverse(A),A),inverse(X_3)))),bind(Y,$fot(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A)))))]]) ).
cnf(refute_0_104,plain,
multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) = multiply(double_divide(inverse(A),A),inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(A),A),inverse(X_3)),multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) != multiply(double_divide(inverse(A),A),inverse(X_3))
| multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) != inverse(X_3)
| multiply(double_divide(inverse(A),A),inverse(X_3)) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),inverse(X_3)) ),[0],$fot(multiply(double_divide(inverse(A),A),inverse(X_3)))]]) ).
cnf(refute_0_106,plain,
( multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) != inverse(X_3)
| multiply(double_divide(inverse(A),A),inverse(X_3)) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),multiply(double_divide(inverse(A),A),inverse(X_3))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(double_divide(inverse(A),A),inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),inverse(X_3)) )],[refute_0_101,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(double_divide(inverse(X_53),X_53),inverse(X_23)) = inverse(X_23),
inference(subst,[],[refute_0_107:[bind(A,$fot(X_53)),bind(X_3,$fot(X_23))]]) ).
cnf(refute_0_109,plain,
( multiply(double_divide(inverse(X_53),X_53),inverse(X_23)) != inverse(X_23)
| double_divide(inverse(X_53),X_53) != multiply(X_23,multiply(double_divide(inverse(X_53),X_53),inverse(X_23)))
| double_divide(inverse(X_53),X_53) = multiply(X_23,inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_53),X_53),multiply(X_23,multiply(double_divide(inverse(X_53),X_53),inverse(X_23)))) ),[1,1],$fot(inverse(X_23))]]) ).
cnf(refute_0_110,plain,
( double_divide(inverse(X_53),X_53) != multiply(X_23,multiply(double_divide(inverse(X_53),X_53),inverse(X_23)))
| double_divide(inverse(X_53),X_53) = multiply(X_23,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_53),X_53),inverse(X_23)),inverse(X_23)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(inverse(X_53),X_53) = multiply(X_23,inverse(X_23)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),X_53),multiply(X_23,multiply(double_divide(inverse(X_53),X_53),inverse(X_23)))) )],[refute_0_100,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(inverse(X_53),X_53) = multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))),
inference(subst,[],[refute_0_111:[bind(X_23,$fot(multiply(X_60,inverse(X_62))))]]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(X_53),X_53) != multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))
| multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) = double_divide(inverse(X_53),X_53) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(inverse(X_53),X_53))),bind(Y,$fot(multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))))]]) ).
cnf(refute_0_114,plain,
multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) = double_divide(inverse(X_53),X_53),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),X_53),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) != double_divide(inverse(X_53),X_53)
| double_divide(multiply(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != X_61
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),X_61) ),[0,0,1],$fot(double_divide(inverse(X_53),X_53))]]) ).
cnf(refute_0_116,plain,
( double_divide(multiply(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != X_61
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))),double_divide(inverse(X_53),X_53)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = X_61,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(multiply(X_60,inverse(X_62))))),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),X_61) )],[refute_0_99,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(multiply(X_60,inverse(X_62)),inverse(X_60)) = inverse(X_62),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(X_60)),bind(X_19,$fot(X_62))]]) ).
cnf(refute_0_119,plain,
double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))))]]) ).
cnf(refute_0_120,plain,
( multiply(multiply(X_60,inverse(X_62)),inverse(X_60)) != inverse(X_62)
| double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))
| double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))) ),[1,1],$fot(inverse(X_62))]]) ).
cnf(refute_0_121,plain,
( multiply(multiply(X_60,inverse(X_62)),inverse(X_60)) != inverse(X_62)
| double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,inverse(X_62)),inverse(X_60)),inverse(X_62)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
X_23 = multiply(X_23,multiply(X_23,inverse(X_23))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(X_23))]]) ).
cnf(refute_0_124,plain,
double_divide(inverse(X_56),X_56) = multiply(X_23,inverse(X_23)),
inference(subst,[],[refute_0_111:[bind(X_53,$fot(X_56))]]) ).
cnf(refute_0_125,plain,
( double_divide(inverse(X_56),X_56) != multiply(X_23,inverse(X_23))
| multiply(X_23,inverse(X_23)) = double_divide(inverse(X_56),X_56) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(inverse(X_56),X_56))),bind(Y,$fot(multiply(X_23,inverse(X_23))))]]) ).
cnf(refute_0_126,plain,
multiply(X_23,inverse(X_23)) = double_divide(inverse(X_56),X_56),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_56),X_56),multiply(X_23,inverse(X_23))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( X_23 != multiply(X_23,multiply(X_23,inverse(X_23)))
| multiply(X_23,inverse(X_23)) != double_divide(inverse(X_56),X_56)
| X_23 = multiply(X_23,double_divide(inverse(X_56),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(X_23,multiply(X_23,multiply(X_23,inverse(X_23)))) ),[1,1],$fot(double_divide(inverse(X_56),X_56))]]) ).
cnf(refute_0_128,plain,
( X_23 != multiply(X_23,multiply(X_23,inverse(X_23)))
| X_23 = multiply(X_23,double_divide(inverse(X_56),X_56)) ),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(X_23)),double_divide(inverse(X_56),X_56)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
X_23 = multiply(X_23,double_divide(inverse(X_56),X_56)),
inference(resolve,[$cnf( $equal(X_23,multiply(X_23,multiply(X_23,inverse(X_23)))) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
( X_23 != multiply(X_23,double_divide(inverse(X_56),X_56))
| multiply(X_23,double_divide(inverse(X_56),X_56)) = X_23 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_23)),bind(Y,$fot(multiply(X_23,double_divide(inverse(X_56),X_56))))]]) ).
cnf(refute_0_131,plain,
multiply(X_23,double_divide(inverse(X_56),X_56)) = X_23,
inference(resolve,[$cnf( $equal(X_23,multiply(X_23,double_divide(inverse(X_56),X_56))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)) = multiply(X_62,inverse(X_61)),
inference(subst,[],[refute_0_131:[bind(X_23,$fot(multiply(X_62,inverse(X_61)))),bind(X_56,$fot(X_53))]]) ).
cnf(refute_0_133,plain,
double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))))]]) ).
cnf(refute_0_134,plain,
( multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)) != multiply(X_62,inverse(X_61))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))) ),[1,0],$fot(multiply(X_62,inverse(X_61)))]]) ).
cnf(refute_0_135,plain,
( multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)) != multiply(X_62,inverse(X_61))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(X_62,inverse(X_61))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
( double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))))),bind(Y,$fot(double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))))),bind(Z,$fot(double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))))]]) ).
cnf(refute_0_138,plain,
( double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) = double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_62,inverse(X_61)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))) )],[refute_0_122,refute_0_138]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != X_61
| double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))
| double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),X_61) ),[0],$fot(double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)))]]) ).
cnf(refute_0_141,plain,
( double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))) != X_61
| double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) = X_61 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),double_divide(multiply(X_62,inverse(X_61)),inverse(X_62))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(multiply(X_62,inverse(X_61)),inverse(X_62)) = X_61,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_62,inverse(X_61)),double_divide(inverse(X_53),X_53)),multiply(multiply(X_60,inverse(X_62)),inverse(X_60))),X_61) )],[refute_0_117,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(multiply(X_63,inverse(X_19)))) = X_63,
inference(subst,[],[refute_0_142:[bind(X_61,$fot(X_63)),bind(X_62,$fot(multiply(X_63,inverse(X_19))))]]) ).
cnf(refute_0_144,plain,
multiply(multiply(X_63,inverse(X_19)),inverse(X_63)) = inverse(X_19),
inference(subst,[],[refute_0_42:[bind(X_17,$fot(X_63))]]) ).
cnf(refute_0_145,plain,
( multiply(multiply(X_63,inverse(X_19)),inverse(X_63)) != inverse(X_19)
| double_divide(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(multiply(X_63,inverse(X_19)))) != X_63
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = X_63 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(multiply(X_63,inverse(X_19)))),X_63) ),[0,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_146,plain,
( double_divide(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(multiply(X_63,inverse(X_19)))) != X_63
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = X_63 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(X_19)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = X_63,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_63,inverse(X_19)),inverse(X_63)),inverse(multiply(X_63,inverse(X_19)))),X_63) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_47,inverse(A)))),X_2),X_4) = double_divide(multiply(X_47,inverse(A)),A),
inference(subst,[],[refute_0_26:[bind(B,$fot(multiply(X_47,inverse(A))))]]) ).
cnf(refute_0_149,plain,
X_47 = multiply(A,multiply(X_47,inverse(A))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(X_47)),bind(X_23,$fot(A))]]) ).
cnf(refute_0_150,plain,
( X_47 != multiply(A,multiply(X_47,inverse(A)))
| multiply(A,multiply(X_47,inverse(A))) = X_47 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_47)),bind(Y,$fot(multiply(A,multiply(X_47,inverse(A)))))]]) ).
cnf(refute_0_151,plain,
multiply(A,multiply(X_47,inverse(A))) = X_47,
inference(resolve,[$cnf( $equal(X_47,multiply(A,multiply(X_47,inverse(A)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( multiply(A,multiply(X_47,inverse(A))) != X_47
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_47,inverse(A)))),X_2),X_4) != double_divide(multiply(X_47,inverse(A)),A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) = double_divide(multiply(X_47,inverse(A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_47,inverse(A)))),X_2),X_4),double_divide(multiply(X_47,inverse(A)),A)) ),[0,0,0,1],$fot(X_47)]]) ).
cnf(refute_0_153,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_47,inverse(A)))),X_2),X_4) != double_divide(multiply(X_47,inverse(A)),A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) = double_divide(multiply(X_47,inverse(A)),A) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_47,inverse(A))),X_47) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) = double_divide(multiply(X_47,inverse(A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_47,inverse(A)))),X_2),X_4),double_divide(multiply(X_47,inverse(A)),A)) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A),
inference(subst,[],[refute_0_26:[bind(B,$fot(inverse(double_divide(X_2,X_4))))]]) ).
cnf(refute_0_156,plain,
A = multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),
inference(subst,[],[refute_0_77:[bind(X_22,$fot(A)),bind(X_23,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_157,plain,
( A != multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4))))
| multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))) = A ),
inference(subst,[],[refute_0_2:[bind(X,$fot(A)),bind(Y,$fot(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4))))))]]) ).
cnf(refute_0_158,plain,
multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))) = A,
inference(resolve,[$cnf( $equal(A,multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))) != A
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4) != double_divide(inverse(double_divide(X_2,X_4)),A)
| double_divide(multiply(A,X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4),double_divide(inverse(double_divide(X_2,X_4)),A)) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_160,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4) != double_divide(inverse(double_divide(X_2,X_4)),A)
| double_divide(multiply(A,X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),A) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(multiply(A,X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_155,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(double_divide(X_2,X_4)) = multiply(X_4,X_2),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_4)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_163,plain,
double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(inverse(double_divide(X_2,X_4)),A),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_2,X_4)),A))]]) ).
cnf(refute_0_164,plain,
( double_divide(inverse(double_divide(X_2,X_4)),A) != double_divide(inverse(double_divide(X_2,X_4)),A)
| inverse(double_divide(X_2,X_4)) != multiply(X_4,X_2)
| double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(multiply(X_4,X_2),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_2,X_4)),A),double_divide(inverse(double_divide(X_2,X_4)),A)) ),[1,0],$fot(multiply(X_4,X_2))]]) ).
cnf(refute_0_165,plain,
( inverse(double_divide(X_2,X_4)) != multiply(X_4,X_2)
| double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(multiply(X_4,X_2),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_2,X_4)),A),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(multiply(X_4,X_2),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_2,X_4)),multiply(X_4,X_2)) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
( double_divide(multiply(A,X_2),X_4) != double_divide(inverse(double_divide(X_2,X_4)),A)
| double_divide(inverse(double_divide(X_2,X_4)),A) != double_divide(multiply(X_4,X_2),A)
| double_divide(multiply(A,X_2),X_4) = double_divide(multiply(X_4,X_2),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(A,X_2),X_4),double_divide(multiply(X_4,X_2),A)) ),[0],$fot(double_divide(inverse(double_divide(X_2,X_4)),A))]]) ).
cnf(refute_0_168,plain,
( double_divide(multiply(A,X_2),X_4) != double_divide(inverse(double_divide(X_2,X_4)),A)
| double_divide(multiply(A,X_2),X_4) = double_divide(multiply(X_4,X_2),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_2,X_4)),A),double_divide(multiply(X_4,X_2),A)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
double_divide(multiply(A,X_2),X_4) = double_divide(multiply(X_4,X_2),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,X_2),X_4),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_161,refute_0_168]) ).
cnf(refute_0_170,plain,
( double_divide(multiply(A,X_2),X_4) != double_divide(multiply(X_4,X_2),A)
| double_divide(multiply(X_4,X_2),A) = double_divide(multiply(A,X_2),X_4) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(multiply(A,X_2),X_4))),bind(Y,$fot(double_divide(multiply(X_4,X_2),A)))]]) ).
cnf(refute_0_171,plain,
double_divide(multiply(X_4,X_2),A) = double_divide(multiply(A,X_2),X_4),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,X_2),X_4),double_divide(multiply(X_4,X_2),A)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) = double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47)),
inference(subst,[],[refute_0_171:[bind(A,$fot(X_4)),bind(X_4,$fot(multiply(double_divide(X_2,X_4),X_47)))]]) ).
cnf(refute_0_173,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) != double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47))
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) != double_divide(multiply(X_47,inverse(A)),A)
| double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47)) = double_divide(multiply(X_47,inverse(A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4),double_divide(multiply(X_47,inverse(A)),A)) ),[0],$fot(double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47)))]]) ).
cnf(refute_0_174,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4) != double_divide(multiply(X_47,inverse(A)),A)
| double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47)) = double_divide(multiply(X_47,inverse(A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4),double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_47)) = double_divide(multiply(X_47,inverse(A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_47),X_2),X_4),double_divide(multiply(X_47,inverse(A)),A)) )],[refute_0_154,refute_0_174]) ).
cnf(refute_0_176,plain,
double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))) = double_divide(multiply(inverse(B),inverse(A)),A),
inference(subst,[],[refute_0_175:[bind(X_2,$fot(A)),bind(X_4,$fot(C)),bind(X_47,$fot(inverse(B)))]]) ).
cnf(refute_0_177,plain,
double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))),
inference(subst,[],[refute_0_171:[bind(A,$fot(C)),bind(X_2,$fot(A)),bind(X_4,$fot(multiply(double_divide(A,C),inverse(B))))]]) ).
cnf(refute_0_178,plain,
( double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))) != double_divide(multiply(inverse(B),inverse(A)),A)
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) != double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B)))
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = double_divide(multiply(inverse(B),inverse(A)),A) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C))),bind(Y,$fot(double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))))),bind(Z,$fot(double_divide(multiply(inverse(B),inverse(A)),A)))]]) ).
cnf(refute_0_179,plain,
( double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))) != double_divide(multiply(inverse(B),inverse(A)),A)
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = double_divide(multiply(inverse(B),inverse(A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C),double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) = double_divide(multiply(inverse(B),inverse(A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,A),multiply(double_divide(A,C),inverse(B))),double_divide(multiply(inverse(B),inverse(A)),A)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) != B
| double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) != double_divide(multiply(inverse(B),inverse(A)),A)
| double_divide(multiply(inverse(B),inverse(A)),A) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C),B) ),[0],$fot(double_divide(multiply(inverse(B),inverse(A)),A))]]) ).
cnf(refute_0_182,plain,
( double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C) != B
| double_divide(multiply(inverse(B),inverse(A)),A) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C),double_divide(multiply(inverse(B),inverse(A)),A)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
double_divide(multiply(inverse(B),inverse(A)),A) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(A,C),inverse(B)),A),C),B) )],[refute_0_22,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))) = B,
inference(subst,[],[refute_0_183:[bind(A,$fot(inverse(inverse(B))))]]) ).
cnf(refute_0_185,plain,
double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))) = inverse(inverse(B)),
inference(subst,[],[refute_0_142:[bind(X_61,$fot(inverse(inverse(B)))),bind(X_62,$fot(inverse(B)))]]) ).
cnf(refute_0_186,plain,
( double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))) != B
| double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))) != inverse(inverse(B))
| inverse(inverse(B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))),B) ),[0],$fot(inverse(inverse(B)))]]) ).
cnf(refute_0_187,plain,
( double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))) != B
| inverse(inverse(B)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))),inverse(inverse(B))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
inverse(inverse(B)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(B),inverse(inverse(inverse(B)))),inverse(inverse(B))),B) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(inverse(X_19)) = X_19,
inference(subst,[],[refute_0_188:[bind(B,$fot(X_19))]]) ).
cnf(refute_0_190,plain,
multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) = multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) != multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19)))
| inverse(inverse(X_19)) != X_19
| multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) = multiply(multiply(X_63,inverse(X_19)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))),multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19)))) ),[1,1],$fot(X_19)]]) ).
cnf(refute_0_192,plain,
( inverse(inverse(X_19)) != X_19
| multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) = multiply(multiply(X_63,inverse(X_19)),X_19) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))),multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) = multiply(multiply(X_63,inverse(X_19)),X_19),
inference(resolve,[$cnf( $equal(inverse(inverse(X_19)),X_19) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(inverse(inverse(X_19)),inverse(X_25)) = double_divide(inverse(inverse(X_19)),inverse(X_25)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_19)),inverse(X_25)))]]) ).
cnf(refute_0_195,plain,
( double_divide(inverse(inverse(X_19)),inverse(X_25)) != double_divide(inverse(inverse(X_19)),inverse(X_25))
| inverse(inverse(X_19)) != X_19
| double_divide(inverse(inverse(X_19)),inverse(X_25)) = double_divide(X_19,inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_19)),inverse(X_25)),double_divide(inverse(inverse(X_19)),inverse(X_25))) ),[1,0],$fot(X_19)]]) ).
cnf(refute_0_196,plain,
( inverse(inverse(X_19)) != X_19
| double_divide(inverse(inverse(X_19)),inverse(X_25)) = double_divide(X_19,inverse(X_25)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_19)),inverse(X_25)),double_divide(inverse(inverse(X_19)),inverse(X_25))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(inverse(X_19)),inverse(X_25)) = double_divide(X_19,inverse(X_25)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_19)),X_19) )],[refute_0_189,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiply(X_25,inverse(X_19)) != double_divide(inverse(inverse(X_19)),inverse(X_25))
| double_divide(inverse(inverse(X_19)),inverse(X_25)) != double_divide(X_19,inverse(X_25))
| multiply(X_25,inverse(X_19)) = double_divide(X_19,inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_25,inverse(X_19)),double_divide(X_19,inverse(X_25))) ),[0],$fot(double_divide(inverse(inverse(X_19)),inverse(X_25)))]]) ).
cnf(refute_0_199,plain,
( multiply(X_25,inverse(X_19)) != double_divide(inverse(inverse(X_19)),inverse(X_25))
| multiply(X_25,inverse(X_19)) = double_divide(X_19,inverse(X_25)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_19)),inverse(X_25)),double_divide(X_19,inverse(X_25))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(X_25,inverse(X_19)) = double_divide(X_19,inverse(X_25)),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_19)),double_divide(inverse(inverse(X_19)),inverse(X_25))) )],[refute_0_60,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(X_25,inverse(X_19)) != double_divide(X_19,inverse(X_25))
| double_divide(X_19,inverse(X_25)) = multiply(X_25,inverse(X_19)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_25,inverse(X_19)))),bind(Y,$fot(double_divide(X_19,inverse(X_25))))]]) ).
cnf(refute_0_202,plain,
double_divide(X_19,inverse(X_25)) = multiply(X_25,inverse(X_19)),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_19)),double_divide(X_19,inverse(X_25))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))),
inference(subst,[],[refute_0_202:[bind(X_19,$fot(inverse(X_19))),bind(X_25,$fot(multiply(X_63,inverse(X_19))))]]) ).
cnf(refute_0_204,plain,
( multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) != multiply(multiply(X_63,inverse(X_19)),X_19)
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) != multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19)))
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = multiply(multiply(X_63,inverse(X_19)),X_19) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))))),bind(Y,$fot(multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))))),bind(Z,$fot(multiply(multiply(X_63,inverse(X_19)),X_19)))]]) ).
cnf(refute_0_205,plain,
( multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))) != multiply(multiply(X_63,inverse(X_19)),X_19)
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = multiply(multiply(X_63,inverse(X_19)),X_19) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))),multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) = multiply(multiply(X_63,inverse(X_19)),X_19),
inference(resolve,[$cnf( $equal(multiply(multiply(X_63,inverse(X_19)),inverse(inverse(X_19))),multiply(multiply(X_63,inverse(X_19)),X_19)) )],[refute_0_193,refute_0_205]) ).
cnf(refute_0_207,plain,
( double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) != X_63
| double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) != multiply(multiply(X_63,inverse(X_19)),X_19)
| multiply(multiply(X_63,inverse(X_19)),X_19) = X_63 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))),X_63) ),[0],$fot(multiply(multiply(X_63,inverse(X_19)),X_19))]]) ).
cnf(refute_0_208,plain,
( double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))) != X_63
| multiply(multiply(X_63,inverse(X_19)),X_19) = X_63 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))),multiply(multiply(X_63,inverse(X_19)),X_19)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(multiply(X_63,inverse(X_19)),X_19) = X_63,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_19),inverse(multiply(X_63,inverse(X_19)))),X_63) )],[refute_0_147,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)) = X_83,
inference(subst,[],[refute_0_209:[bind(X_19,$fot(inverse(X_23))),bind(X_63,$fot(X_83))]]) ).
cnf(refute_0_211,plain,
( multiply(X_83,inverse(inverse(X_23))) != multiply(X_23,multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)))
| multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)) != X_83
| multiply(X_83,inverse(inverse(X_23))) = multiply(X_23,X_83) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_23,multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)))) ),[1,1],$fot(X_83)]]) ).
cnf(refute_0_212,plain,
( multiply(X_83,inverse(inverse(X_23))) != multiply(X_23,multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)))
| multiply(X_83,inverse(inverse(X_23))) = multiply(X_23,X_83) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)),X_83) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(X_83,inverse(inverse(X_23))) = multiply(X_23,X_83),
inference(resolve,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_23,multiply(multiply(X_83,inverse(inverse(X_23))),inverse(X_23)))) )],[refute_0_78,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(inverse(X_23)) = X_23,
inference(subst,[],[refute_0_188:[bind(B,$fot(X_23))]]) ).
cnf(refute_0_215,plain,
multiply(X_83,inverse(inverse(X_23))) = multiply(X_83,inverse(inverse(X_23))),
introduced(tautology,[refl,[$fot(multiply(X_83,inverse(inverse(X_23))))]]) ).
cnf(refute_0_216,plain,
( multiply(X_83,inverse(inverse(X_23))) != multiply(X_83,inverse(inverse(X_23)))
| inverse(inverse(X_23)) != X_23
| multiply(X_83,inverse(inverse(X_23))) = multiply(X_83,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_83,inverse(inverse(X_23)))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_217,plain,
( inverse(inverse(X_23)) != X_23
| multiply(X_83,inverse(inverse(X_23))) = multiply(X_83,X_23) ),
inference(resolve,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_83,inverse(inverse(X_23)))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(X_83,inverse(inverse(X_23))) = multiply(X_83,X_23),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(X_83,inverse(inverse(X_23))) != multiply(X_23,X_83)
| multiply(X_83,inverse(inverse(X_23))) != multiply(X_83,X_23)
| multiply(X_83,X_23) = multiply(X_23,X_83) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_23,X_83)) ),[0],$fot(multiply(X_83,X_23))]]) ).
cnf(refute_0_220,plain,
( multiply(X_83,inverse(inverse(X_23))) != multiply(X_23,X_83)
| multiply(X_83,X_23) = multiply(X_23,X_83) ),
inference(resolve,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_83,X_23)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(X_83,X_23) = multiply(X_23,X_83),
inference(resolve,[$cnf( $equal(multiply(X_83,inverse(inverse(X_23))),multiply(X_23,X_83)) )],[refute_0_213,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(X_83,X_23) != multiply(X_23,X_83)
| multiply(X_23,X_83) = multiply(X_83,X_23) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_83,X_23))),bind(Y,$fot(multiply(X_23,X_83)))]]) ).
cnf(refute_0_223,plain,
multiply(X_23,X_83) = multiply(X_83,X_23),
inference(resolve,[$cnf( $equal(multiply(X_83,X_23),multiply(X_23,X_83)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_223:[bind(X_23,$fot(b)),bind(X_83,$fot(a))]]) ).
cnf(refute_0_225,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_226,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_226,prove_these_axioms_4]) ).
cnf(refute_0_228,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_229,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_228,refute_0_227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 10:50:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.58
% 0.22/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.62
%------------------------------------------------------------------------------