TSTP Solution File: GRP605-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP605-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 10:43:53 EDT 2022
% Result : Unsatisfiable 0.57s 0.73s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 97
% Syntax : Number of clauses : 382 ( 203 unt; 0 nHn; 169 RR)
% Number of literals : 647 ( 646 equ; 267 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 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 : 1069 ( 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_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
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( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),inverse(double_divide(B,A))),X_2),X_4),double_divide(B,A)) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),X_2),X_4) = double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiply(X_27,inverse(X_29)))),bind(B,$fot(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26)))]]) ).
cnf(refute_0_28,plain,
multiply(A,multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2)) = inverse(double_divide(multiply(multiply(double_divide(X_2,A),inverse(X_3)),X_2),A)),
inference(subst,[],[multiply:[bind(B,$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( $equal(multiply(X_5,multiply(multiply(double_divide(multiply(multiply(double_divide(A,X_5),inverse(B)),A),X_5),inverse(X_7)),multiply(multiply(double_divide(A,X_5),inverse(B)),A))),inverse(X_7)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))) = inverse(X_29),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(X_5,$fot(double_divide(X_2,X_4))),bind(X_7,$fot(X_29))]]) ).
cnf(refute_0_39,plain,
( multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))) != inverse(X_29)
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),X_2),X_4) != double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))
| double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),X_2),X_4),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) ),[0,0,0],$fot(inverse(X_29))]]) ).
cnf(refute_0_40,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),X_2),X_4) != double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))
| double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),inverse(X_29)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(multiply(X_27,inverse(X_29)),multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26))),X_2),X_4),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) )],[refute_0_27,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(X_5,multiply(multiply(double_divide(X_6,X_5),inverse(double_divide(B,A))),X_6)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_32:[bind(A,$fot(X_5)),bind(X_2,$fot(X_6)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_43,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),inverse(double_divide(B,A))),X_6)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),inverse(double_divide(B,A))),X_6)),inverse(double_divide(B,A))) ),[0,1,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_44,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),inverse(double_divide(B,A))),X_6)) != inverse(double_divide(B,A))
| multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),inverse(double_divide(B,A))),X_6)),inverse(double_divide(B,A))) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_47,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) != inverse(double_divide(B,A))
| multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,B)),X_6)),inverse(double_divide(B,A))) )],[refute_0_45,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(X_22,multiply(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),X_23)) = multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21),
inference(subst,[],[refute_0_48:[bind(A,$fot(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)))),bind(B,$fot(X_21)),bind(X_5,$fot(X_22)),bind(X_6,$fot(X_23))]]) ).
cnf(refute_0_50,plain,
multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)) = inverse(X_3),
inference(subst,[],[refute_0_32:[bind(A,$fot(double_divide(X_23,X_22))),bind(X_2,$fot(X_21))]]) ).
cnf(refute_0_51,plain,
( multiply(X_22,multiply(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),X_23)) != multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)
| multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)) != inverse(X_3)
| multiply(X_22,multiply(inverse(X_3),X_23)) = multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,multiply(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),X_23)),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)) ),[0,1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_52,plain,
( multiply(X_22,multiply(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),X_23)) != multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)
| multiply(X_22,multiply(inverse(X_3),X_23)) = multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),inverse(X_3)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(X_22,multiply(inverse(X_3),X_23)) = multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21),
inference(resolve,[$cnf( $equal(multiply(X_22,multiply(multiply(double_divide(X_23,X_22),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)),X_23)),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(X_22,multiply(inverse(X_3),X_23)) != multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)
| multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21) = multiply(X_22,multiply(inverse(X_3),X_23)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_22,multiply(inverse(X_3),X_23)))),bind(Y,$fot(multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)))]]) ).
cnf(refute_0_55,plain,
multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21) = multiply(X_22,multiply(inverse(X_3),X_23)),
inference(resolve,[$cnf( $equal(multiply(X_22,multiply(inverse(X_3),X_23)),multiply(multiply(double_divide(X_21,double_divide(X_23,X_22)),inverse(X_3)),X_21)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26) = multiply(X_4,multiply(inverse(X_27),X_2)),
inference(subst,[],[refute_0_55:[bind(X_21,$fot(X_26)),bind(X_22,$fot(X_4)),bind(X_23,$fot(X_2)),bind(X_3,$fot(X_27))]]) ).
cnf(refute_0_57,plain,
double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) = double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))))]]) ).
cnf(refute_0_58,plain,
( multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26) != multiply(X_4,multiply(inverse(X_27),X_2))
| double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) != double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))
| double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) ),[1,0],$fot(multiply(X_4,multiply(inverse(X_27),X_2)))]]) ).
cnf(refute_0_59,plain,
( multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26) != multiply(X_4,multiply(inverse(X_27),X_2))
| double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_4,multiply(inverse(X_27),X_2))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))) != double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))
| double_divide(multiply(inverse(X_29),X_2),X_4) != double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))
| double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_29),X_2),X_4),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) ),[1],$fot(double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))))]]) ).
cnf(refute_0_62,plain,
( double_divide(multiply(inverse(X_29),X_2),X_4) != double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))
| double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29))),double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(multiply(inverse(X_29),X_2),X_4) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_29),X_2),X_4),double_divide(multiply(multiply(double_divide(X_26,double_divide(X_2,X_4)),inverse(X_27)),X_26),multiply(X_27,inverse(X_29)))) )],[refute_0_41,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(multiply(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),X_10),X_11) = double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3))),
inference(subst,[],[refute_0_26:[bind(A,$fot(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)))),bind(B,$fot(X_9)),bind(X_2,$fot(X_10)),bind(X_4,$fot(X_11))]]) ).
cnf(refute_0_65,plain,
multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)) = inverse(X_3),
inference(subst,[],[refute_0_32:[bind(A,$fot(double_divide(X_10,X_11))),bind(X_2,$fot(X_9))]]) ).
cnf(refute_0_66,plain,
( multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)) != inverse(X_3)
| double_divide(multiply(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),X_10),X_11) != double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),X_10),X_11),double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)))) ),[0,0,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_67,plain,
( double_divide(multiply(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),X_10),X_11) != double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),inverse(X_3)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_10,X_11),multiply(multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)),X_9)),X_10),X_11),double_divide(X_9,multiply(double_divide(X_9,double_divide(X_10,X_11)),inverse(X_3)))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(inverse(double_divide(X_10,X_11)),multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3))),
inference(subst,[],[refute_0_68:[bind(X_9,$fot(inverse(double_divide(X_10,X_11))))]]) ).
cnf(refute_0_70,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,$fot(inverse(A)))]]) ).
cnf(refute_0_71,plain,
double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)))]]) ).
cnf(refute_0_72,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_73,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_74,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( $equal(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),X_3) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2),C),inverse(B)),multiply(multiply(double_divide(X_2,C),inverse(X_3)),X_2)),C),B) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) = X_12,
inference(subst,[],[refute_0_75:[bind(B,$fot(X_12)),bind(C,$fot(multiply(X_15,inverse(X_12)))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_77,plain,
multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)) = inverse(X_15),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiply(X_15,inverse(X_12)))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_78,plain,
( multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)) != inverse(X_15)
| double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) != X_12
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))),X_12) ),[0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_79,plain,
( double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))) != X_12
| double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),inverse(X_15)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(inverse(X_15),multiply(X_15,inverse(X_12))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_15,inverse(X_12)),multiply(multiply(double_divide(X_14,multiply(X_15,inverse(X_12))),inverse(X_15)),X_14)),multiply(X_15,inverse(X_12))),X_12) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(inverse(multiply(X_12,inverse(X_18))),multiply(multiply(X_12,inverse(X_18)),inverse(X_12))) = X_12,
inference(subst,[],[refute_0_80:[bind(X_15,$fot(multiply(X_12,inverse(X_18))))]]) ).
cnf(refute_0_82,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16)))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_17,inverse(X_16)))),bind(B,$fot(inverse(X_17)))]]) ).
cnf(refute_0_83,plain,
double_divide(inverse(X_17),multiply(X_17,inverse(X_16))) = X_16,
inference(subst,[],[refute_0_80:[bind(X_12,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_84,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))
| double_divide(inverse(X_17),multiply(X_17,inverse(X_16))) != X_16
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_85,plain,
( multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) != inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))
| multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))),X_16) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(multiply(X_17,inverse(X_16)),inverse(X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_16)),inverse(X_17)),inverse(double_divide(inverse(X_17),multiply(X_17,inverse(X_16))))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(multiply(X_12,inverse(X_18)),inverse(X_12)) = inverse(X_18),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(X_18)),bind(X_17,$fot(X_12))]]) ).
cnf(refute_0_88,plain,
( multiply(multiply(X_12,inverse(X_18)),inverse(X_12)) != inverse(X_18)
| double_divide(inverse(multiply(X_12,inverse(X_18))),multiply(multiply(X_12,inverse(X_18)),inverse(X_12))) != X_12
| double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_12,inverse(X_18))),multiply(multiply(X_12,inverse(X_18)),inverse(X_12))),X_12) ),[0,1],$fot(inverse(X_18))]]) ).
cnf(refute_0_89,plain,
( double_divide(inverse(multiply(X_12,inverse(X_18))),multiply(multiply(X_12,inverse(X_18)),inverse(X_12))) != X_12
| double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,inverse(X_18)),inverse(X_12)),inverse(X_18)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_12,inverse(X_18))),multiply(multiply(X_12,inverse(X_18)),inverse(X_12))),X_12) )],[refute_0_81,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(inverse(inverse(X_25)),multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25))))) = multiply(X_24,inverse(X_25)),
inference(subst,[],[refute_0_80:[bind(X_12,$fot(multiply(X_24,inverse(X_25)))),bind(X_15,$fot(inverse(X_25)))]]) ).
cnf(refute_0_92,plain,
multiply(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(multiply(X_16,inverse(X_18)))) = inverse(X_16),
inference(subst,[],[refute_0_86:[bind(X_17,$fot(multiply(X_16,inverse(X_18))))]]) ).
cnf(refute_0_93,plain,
multiply(multiply(X_16,inverse(X_18)),inverse(X_16)) = inverse(X_18),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(X_18)),bind(X_17,$fot(X_16))]]) ).
cnf(refute_0_94,plain,
( multiply(multiply(X_16,inverse(X_18)),inverse(X_16)) != inverse(X_18)
| multiply(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(multiply(X_16,inverse(X_18)))) != inverse(X_16)
| multiply(inverse(X_18),inverse(multiply(X_16,inverse(X_18)))) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(multiply(X_16,inverse(X_18)))),inverse(X_16)) ),[0,0],$fot(inverse(X_18))]]) ).
cnf(refute_0_95,plain,
( multiply(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(multiply(X_16,inverse(X_18)))) != inverse(X_16)
| multiply(inverse(X_18),inverse(multiply(X_16,inverse(X_18)))) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(X_18)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(inverse(X_18),inverse(multiply(X_16,inverse(X_18)))) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_16,inverse(X_18)),inverse(X_16)),inverse(multiply(X_16,inverse(X_18)))),inverse(X_16)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))) = inverse(X_24),
inference(subst,[],[refute_0_96:[bind(X_16,$fot(X_24)),bind(X_18,$fot(X_25))]]) ).
cnf(refute_0_98,plain,
( multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))) != inverse(X_24)
| double_divide(inverse(inverse(X_25)),multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25))))) != multiply(X_24,inverse(X_25))
| double_divide(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_24,inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_25)),multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25))))),multiply(X_24,inverse(X_25))) ),[0,1],$fot(inverse(X_24))]]) ).
cnf(refute_0_99,plain,
( double_divide(inverse(inverse(X_25)),multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25))))) != multiply(X_24,inverse(X_25))
| double_divide(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_24,inverse(X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(X_24)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(inverse(inverse(X_25)),inverse(X_24)) = multiply(X_24,inverse(X_25)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_25)),multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25))))),multiply(X_24,inverse(X_25))) )],[refute_0_91,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(inverse(inverse(double_divide(B,A))),inverse(X_30)) = multiply(X_30,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_100:[bind(X_24,$fot(X_30)),bind(X_25,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_102,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(X_30)) != multiply(X_30,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,inverse(double_divide(B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(X_30)),multiply(X_30,inverse(double_divide(B,A)))) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_103,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(X_30)) != multiply(X_30,inverse(double_divide(B,A)))
| double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,inverse(double_divide(B,A))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,inverse(double_divide(B,A))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(X_30)),multiply(X_30,inverse(double_divide(B,A)))) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(X_30,inverse(double_divide(B,A))) = multiply(X_30,inverse(double_divide(B,A))),
introduced(tautology,[refl,[$fot(multiply(X_30,inverse(double_divide(B,A))))]]) ).
cnf(refute_0_106,plain,
( multiply(X_30,inverse(double_divide(B,A))) != multiply(X_30,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_30,inverse(double_divide(B,A))) = multiply(X_30,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,inverse(double_divide(B,A))),multiply(X_30,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_107,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_30,inverse(double_divide(B,A))) = multiply(X_30,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,inverse(double_divide(B,A))),multiply(X_30,inverse(double_divide(B,A)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(X_30,inverse(double_divide(B,A))) = multiply(X_30,multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_107]) ).
cnf(refute_0_109,plain,
( multiply(X_30,inverse(double_divide(B,A))) != multiply(X_30,multiply(A,B))
| double_divide(inverse(multiply(A,B)),inverse(X_30)) != multiply(X_30,inverse(double_divide(B,A)))
| double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(X_30)),multiply(X_30,inverse(double_divide(B,A)))) ),[1],$fot(multiply(X_30,multiply(A,B)))]]) ).
cnf(refute_0_110,plain,
( double_divide(inverse(multiply(A,B)),inverse(X_30)) != multiply(X_30,inverse(double_divide(B,A)))
| double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_30,inverse(double_divide(B,A))),multiply(X_30,multiply(A,B))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(inverse(multiply(A,B)),inverse(X_30)) = multiply(X_30,multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(X_30)),multiply(X_30,inverse(double_divide(B,A)))) )],[refute_0_104,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) = multiply(X_18,multiply(X_12,inverse(X_18))),
inference(subst,[],[refute_0_111:[bind(A,$fot(X_12)),bind(B,$fot(inverse(X_18))),bind(X_30,$fot(X_18))]]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) != X_12
| double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) != multiply(X_18,multiply(X_12,inverse(X_18)))
| multiply(X_18,multiply(X_12,inverse(X_18))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)),X_12) ),[0],$fot(multiply(X_18,multiply(X_12,inverse(X_18))))]]) ).
cnf(refute_0_114,plain,
( double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)) != X_12
| multiply(X_18,multiply(X_12,inverse(X_18))) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)),multiply(X_18,multiply(X_12,inverse(X_18)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(X_18,multiply(X_12,inverse(X_18))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_12,inverse(X_18))),inverse(X_18)),X_12) )],[refute_0_90,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) = multiply(double_divide(inverse(A),A),inverse(X_3)),
inference(subst,[],[refute_0_115:[bind(X_12,$fot(multiply(double_divide(inverse(A),A),inverse(X_3)))),bind(X_18,$fot(A))]]) ).
cnf(refute_0_117,plain,
( multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) != multiply(double_divide(inverse(A),A),inverse(X_3))
| multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))) != inverse(X_3)
| multiply(double_divide(inverse(A),A),inverse(X_3)) = inverse(X_3) ),
introduced(tautology,[equality,[$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_118,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( $equal(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),multiply(double_divide(inverse(A),A),inverse(X_3))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(double_divide(inverse(A),A),inverse(X_3)) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(double_divide(inverse(A),A),inverse(X_3)),inverse(A))),inverse(X_3)) )],[refute_0_70,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)) = inverse(X_3),
inference(subst,[],[refute_0_119:[bind(A,$fot(double_divide(X_10,X_11)))]]) ).
cnf(refute_0_121,plain,
( multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)) != inverse(X_3)
| double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(inverse(double_divide(X_10,X_11)),multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(inverse(double_divide(X_10,X_11)),multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)))) ),[1,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_122,plain,
( double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(inverse(double_divide(X_10,X_11)),multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)),inverse(X_3)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(inverse(double_divide(X_10,X_11)),multiply(double_divide(inverse(double_divide(X_10,X_11)),double_divide(X_10,X_11)),inverse(X_3)))) )],[refute_0_69,refute_0_122]) ).
cnf(refute_0_124,plain,
inverse(double_divide(X_10,X_11)) = multiply(X_11,X_10),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11)),bind(B,$fot(X_10))]]) ).
cnf(refute_0_125,plain,
double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) = double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)))]]) ).
cnf(refute_0_126,plain,
( double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) != double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))
| inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
| double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) = double_divide(multiply(X_11,X_10),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)),double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))) ),[1,0],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_127,plain,
( inverse(double_divide(X_10,X_11)) != multiply(X_11,X_10)
| double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) = double_divide(multiply(X_11,X_10),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)),double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) = double_divide(multiply(X_11,X_10),inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,X_11)),multiply(X_11,X_10)) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))
| double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)) != double_divide(multiply(X_11,X_10),inverse(X_3))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(multiply(X_11,X_10),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(multiply(X_11,X_10),inverse(X_3))) ),[0],$fot(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)))]]) ).
cnf(refute_0_130,plain,
( double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))
| double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(multiply(X_11,X_10),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3)),double_divide(multiply(X_11,X_10),inverse(X_3))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(multiply(inverse(X_3),X_10),X_11) = double_divide(multiply(X_11,X_10),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(inverse(double_divide(X_10,X_11)),inverse(X_3))) )],[refute_0_123,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(inverse(X_15),multiply(X_15,inverse(multiply(X_63,X_15)))) = multiply(X_63,X_15),
inference(subst,[],[refute_0_80:[bind(X_12,$fot(multiply(X_63,X_15)))]]) ).
cnf(refute_0_133,plain,
multiply(multiply(X_19,inverse(double_divide(B,A))),inverse(X_19)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(double_divide(B,A))),bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_134,plain,
( multiply(multiply(X_19,inverse(double_divide(B,A))),inverse(X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_19,inverse(double_divide(B,A))),inverse(X_19)),inverse(double_divide(B,A))) ),[0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_135,plain,
( multiply(multiply(X_19,inverse(double_divide(B,A))),inverse(X_19)) != inverse(double_divide(B,A))
| multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_19,inverse(double_divide(B,A))),inverse(X_19)),inverse(double_divide(B,A))) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
( multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_19,multiply(A,B)),inverse(X_19)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_138,plain,
( multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) != inverse(double_divide(B,A))
| multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(multiply(X_19,multiply(A,B)),inverse(X_19)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_19,multiply(A,B)),inverse(X_19)),inverse(double_divide(B,A))) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(multiply(X_59,multiply(multiply(X_53,inverse(X_53)),X_58)),inverse(X_59)) = multiply(multiply(X_53,inverse(X_53)),X_58),
inference(subst,[],[refute_0_139:[bind(A,$fot(multiply(X_53,inverse(X_53)))),bind(B,$fot(X_58)),bind(X_19,$fot(X_59))]]) ).
cnf(refute_0_141,plain,
multiply(multiply(X_53,inverse(X_53)),multiply(X_12,inverse(multiply(X_53,inverse(X_53))))) = X_12,
inference(subst,[],[refute_0_115:[bind(X_18,$fot(multiply(X_53,inverse(X_53))))]]) ).
cnf(refute_0_142,plain,
multiply(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(inverse(X_25))) = inverse(multiply(X_24,inverse(X_25))),
inference(subst,[],[refute_0_86:[bind(X_16,$fot(multiply(X_24,inverse(X_25)))),bind(X_17,$fot(inverse(X_25)))]]) ).
cnf(refute_0_143,plain,
( multiply(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(inverse(X_25))) != inverse(multiply(X_24,inverse(X_25)))
| multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))) != inverse(X_24)
| multiply(inverse(X_24),inverse(inverse(X_25))) = inverse(multiply(X_24,inverse(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(inverse(X_25))),inverse(multiply(X_24,inverse(X_25)))) ),[0,0],$fot(inverse(X_24))]]) ).
cnf(refute_0_144,plain,
( multiply(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(inverse(X_25))) != inverse(multiply(X_24,inverse(X_25)))
| multiply(inverse(X_24),inverse(inverse(X_25))) = inverse(multiply(X_24,inverse(X_25))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(X_24)) )],[refute_0_97,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(X_24),inverse(inverse(X_25))) = inverse(multiply(X_24,inverse(X_25))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_25),inverse(multiply(X_24,inverse(X_25)))),inverse(inverse(X_25))),inverse(multiply(X_24,inverse(X_25)))) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(X_25),inverse(inverse(X_25))) = inverse(multiply(X_25,inverse(X_25))),
inference(subst,[],[refute_0_145:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_147,plain,
multiply(A,inverse(A)) = inverse(double_divide(inverse(A),A)),
inference(subst,[],[multiply:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_148,plain,
double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(B,A)))) = double_divide(B,A),
inference(subst,[],[refute_0_80:[bind(X_12,$fot(double_divide(B,A))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_149,plain,
( double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(B,A)))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(X_17),multiply(X_17,multiply(A,B))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(B,A)))),double_divide(B,A)) ),[0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_150,plain,
( double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(B,A)))) != double_divide(B,A)
| double_divide(inverse(X_17),multiply(X_17,multiply(A,B))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(inverse(X_17),multiply(X_17,multiply(A,B))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,inverse(double_divide(B,A)))),double_divide(B,A)) )],[refute_0_148,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(inverse(X_48),multiply(X_48,multiply(X_46,inverse(X_46)))) = double_divide(inverse(X_46),X_46),
inference(subst,[],[refute_0_151:[bind(A,$fot(X_46)),bind(B,$fot(inverse(X_46))),bind(X_17,$fot(X_48))]]) ).
cnf(refute_0_153,plain,
multiply(X_18,multiply(double_divide(inverse(X_40),X_40),inverse(X_18))) = double_divide(inverse(X_40),X_40),
inference(subst,[],[refute_0_115:[bind(X_12,$fot(double_divide(inverse(X_40),X_40)))]]) ).
cnf(refute_0_154,plain,
multiply(double_divide(inverse(X_40),X_40),inverse(X_18)) = inverse(X_18),
inference(subst,[],[refute_0_119:[bind(A,$fot(X_40)),bind(X_3,$fot(X_18))]]) ).
cnf(refute_0_155,plain,
( multiply(X_18,multiply(double_divide(inverse(X_40),X_40),inverse(X_18))) != double_divide(inverse(X_40),X_40)
| multiply(double_divide(inverse(X_40),X_40),inverse(X_18)) != inverse(X_18)
| multiply(X_18,inverse(X_18)) = double_divide(inverse(X_40),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,multiply(double_divide(inverse(X_40),X_40),inverse(X_18))),double_divide(inverse(X_40),X_40)) ),[0,1],$fot(inverse(X_18))]]) ).
cnf(refute_0_156,plain,
( multiply(X_18,multiply(double_divide(inverse(X_40),X_40),inverse(X_18))) != double_divide(inverse(X_40),X_40)
| multiply(X_18,inverse(X_18)) = double_divide(inverse(X_40),X_40) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_40),X_40),inverse(X_18)),inverse(X_18)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(X_18,inverse(X_18)) = double_divide(inverse(X_40),X_40),
inference(resolve,[$cnf( $equal(multiply(X_18,multiply(double_divide(inverse(X_40),X_40),inverse(X_18))),double_divide(inverse(X_40),X_40)) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(X_46,inverse(X_46)) = double_divide(inverse(X_40),X_40),
inference(subst,[],[refute_0_157:[bind(X_18,$fot(X_46))]]) ).
cnf(refute_0_159,plain,
( multiply(X_46,inverse(X_46)) != double_divide(inverse(X_40),X_40)
| double_divide(inverse(X_48),multiply(X_48,multiply(X_46,inverse(X_46)))) != double_divide(inverse(X_46),X_46)
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_46),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,multiply(X_46,inverse(X_46)))),double_divide(inverse(X_46),X_46)) ),[0,1,1],$fot(double_divide(inverse(X_40),X_40))]]) ).
cnf(refute_0_160,plain,
( double_divide(inverse(X_48),multiply(X_48,multiply(X_46,inverse(X_46)))) != double_divide(inverse(X_46),X_46)
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_46),X_46) ),
inference(resolve,[$cnf( $equal(multiply(X_46,inverse(X_46)),double_divide(inverse(X_40),X_40)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_46),X_46),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,multiply(X_46,inverse(X_46)))),double_divide(inverse(X_46),X_46)) )],[refute_0_152,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(X_18,multiply(X_18,inverse(X_18))) = X_18,
inference(subst,[],[refute_0_115:[bind(X_12,$fot(X_18))]]) ).
cnf(refute_0_163,plain,
multiply(X_18,inverse(X_18)) = double_divide(inverse(X_43),X_43),
inference(subst,[],[refute_0_157:[bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_164,plain,
( multiply(X_18,multiply(X_18,inverse(X_18))) != X_18
| multiply(X_18,inverse(X_18)) != double_divide(inverse(X_43),X_43)
| multiply(X_18,double_divide(inverse(X_43),X_43)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,multiply(X_18,inverse(X_18))),X_18) ),[0,1],$fot(double_divide(inverse(X_43),X_43))]]) ).
cnf(refute_0_165,plain,
( multiply(X_18,multiply(X_18,inverse(X_18))) != X_18
| multiply(X_18,double_divide(inverse(X_43),X_43)) = X_18 ),
inference(resolve,[$cnf( $equal(multiply(X_18,inverse(X_18)),double_divide(inverse(X_43),X_43)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(X_18,double_divide(inverse(X_43),X_43)) = X_18,
inference(resolve,[$cnf( $equal(multiply(X_18,multiply(X_18,inverse(X_18))),X_18) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(X_48,double_divide(inverse(X_40),X_40)) = X_48,
inference(subst,[],[refute_0_166:[bind(X_18,$fot(X_48)),bind(X_43,$fot(X_40))]]) ).
cnf(refute_0_168,plain,
double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))))]]) ).
cnf(refute_0_169,plain,
( multiply(X_48,double_divide(inverse(X_40),X_40)) != X_48
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) != double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40)))
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_48),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40)))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_170,plain,
( multiply(X_48,double_divide(inverse(X_40),X_40)) != X_48
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_48),X_48) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) = double_divide(inverse(X_48),X_48),
inference(resolve,[$cnf( $equal(multiply(X_48,double_divide(inverse(X_40),X_40)),X_48) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) != double_divide(inverse(X_46),X_46)
| double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) != double_divide(inverse(X_48),X_48)
| double_divide(inverse(X_48),X_48) = double_divide(inverse(X_46),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),double_divide(inverse(X_46),X_46)) ),[0],$fot(double_divide(inverse(X_48),X_48))]]) ).
cnf(refute_0_173,plain,
( double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))) != double_divide(inverse(X_46),X_46)
| double_divide(inverse(X_48),X_48) = double_divide(inverse(X_46),X_46) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),double_divide(inverse(X_48),X_48)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(inverse(X_48),X_48) = double_divide(inverse(X_46),X_46),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),multiply(X_48,double_divide(inverse(X_40),X_40))),double_divide(inverse(X_46),X_46)) )],[refute_0_161,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(inverse(A),A) = double_divide(inverse(X_49),X_49),
inference(subst,[],[refute_0_174:[bind(X_46,$fot(X_49)),bind(X_48,$fot(A))]]) ).
cnf(refute_0_176,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(A),A))
| double_divide(inverse(A),A) != double_divide(inverse(X_49),X_49)
| multiply(A,inverse(A)) = inverse(double_divide(inverse(X_49),X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(A)),inverse(double_divide(inverse(A),A))) ),[1,0],$fot(double_divide(inverse(X_49),X_49))]]) ).
cnf(refute_0_177,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(A),A))
| multiply(A,inverse(A)) = inverse(double_divide(inverse(X_49),X_49)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(A),A),double_divide(inverse(X_49),X_49)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(A,inverse(A)) = inverse(double_divide(inverse(X_49),X_49)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),inverse(double_divide(inverse(A),A))) )],[refute_0_147,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(double_divide(inverse(X_49),X_49)) = multiply(X_49,inverse(X_49)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_49)),bind(B,$fot(inverse(X_49)))]]) ).
cnf(refute_0_180,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(X_49),X_49))
| inverse(double_divide(inverse(X_49),X_49)) != multiply(X_49,inverse(X_49))
| multiply(A,inverse(A)) = multiply(X_49,inverse(X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(A)),multiply(X_49,inverse(X_49))) ),[0],$fot(inverse(double_divide(inverse(X_49),X_49)))]]) ).
cnf(refute_0_181,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(X_49),X_49))
| multiply(A,inverse(A)) = multiply(X_49,inverse(X_49)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_49),X_49)),multiply(X_49,inverse(X_49))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(A,inverse(A)) = multiply(X_49,inverse(X_49)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),inverse(double_divide(inverse(X_49),X_49))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(X_25),inverse(inverse(X_25))) = multiply(X_52,inverse(X_52)),
inference(subst,[],[refute_0_182:[bind(A,$fot(inverse(X_25))),bind(X_49,$fot(X_52))]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(X_25),inverse(inverse(X_25))) != multiply(X_52,inverse(X_52))
| multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_25,inverse(X_25)))
| multiply(X_52,inverse(X_52)) = inverse(multiply(X_25,inverse(X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_25,inverse(X_25)))) ),[0],$fot(multiply(X_52,inverse(X_52)))]]) ).
cnf(refute_0_185,plain,
( multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_25,inverse(X_25)))
| multiply(X_52,inverse(X_52)) = inverse(multiply(X_25,inverse(X_25))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),multiply(X_52,inverse(X_52))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(X_52,inverse(X_52)) = inverse(multiply(X_25,inverse(X_25))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_25,inverse(X_25)))) )],[refute_0_146,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(X_54,inverse(X_54)) = inverse(multiply(X_53,inverse(X_53))),
inference(subst,[],[refute_0_186:[bind(X_25,$fot(X_53)),bind(X_52,$fot(X_54))]]) ).
cnf(refute_0_188,plain,
( multiply(X_54,inverse(X_54)) != inverse(multiply(X_53,inverse(X_53)))
| inverse(multiply(X_53,inverse(X_53))) = multiply(X_54,inverse(X_54)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_54,inverse(X_54)))),bind(Y,$fot(inverse(multiply(X_53,inverse(X_53)))))]]) ).
cnf(refute_0_189,plain,
inverse(multiply(X_53,inverse(X_53))) = multiply(X_54,inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(X_54,inverse(X_54)),inverse(multiply(X_53,inverse(X_53)))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(multiply(X_53,inverse(X_53)),multiply(X_12,inverse(multiply(X_53,inverse(X_53))))) != X_12
| inverse(multiply(X_53,inverse(X_53))) != multiply(X_54,inverse(X_54))
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,inverse(multiply(X_53,inverse(X_53))))),X_12) ),[0,1,1],$fot(multiply(X_54,inverse(X_54)))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(X_53,inverse(X_53)),multiply(X_12,inverse(multiply(X_53,inverse(X_53))))) != X_12
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_53,inverse(X_53))),multiply(X_54,inverse(X_54))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = X_12,
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,inverse(multiply(X_53,inverse(X_53))))),X_12) )],[refute_0_141,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(X_44,double_divide(inverse(inverse(X_25)),inverse(X_25))) = X_44,
inference(subst,[],[refute_0_166:[bind(X_18,$fot(X_44)),bind(X_43,$fot(inverse(X_25)))]]) ).
cnf(refute_0_194,plain,
double_divide(inverse(inverse(X_25)),inverse(X_25)) = multiply(X_25,inverse(X_25)),
inference(subst,[],[refute_0_100:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_195,plain,
( multiply(X_44,double_divide(inverse(inverse(X_25)),inverse(X_25))) != X_44
| double_divide(inverse(inverse(X_25)),inverse(X_25)) != multiply(X_25,inverse(X_25))
| multiply(X_44,multiply(X_25,inverse(X_25))) = X_44 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_44,double_divide(inverse(inverse(X_25)),inverse(X_25))),X_44) ),[0,1],$fot(multiply(X_25,inverse(X_25)))]]) ).
cnf(refute_0_196,plain,
( multiply(X_44,double_divide(inverse(inverse(X_25)),inverse(X_25))) != X_44
| multiply(X_44,multiply(X_25,inverse(X_25))) = X_44 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_25)),inverse(X_25)),multiply(X_25,inverse(X_25))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(X_44,multiply(X_25,inverse(X_25))) = X_44,
inference(resolve,[$cnf( $equal(multiply(X_44,double_divide(inverse(inverse(X_25)),inverse(X_25))),X_44) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(X_12,multiply(X_54,inverse(X_54))) = X_12,
inference(subst,[],[refute_0_197:[bind(X_25,$fot(X_54)),bind(X_44,$fot(X_12))]]) ).
cnf(refute_0_199,plain,
multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))))]]) ).
cnf(refute_0_200,plain,
( multiply(X_12,multiply(X_54,inverse(X_54))) != X_12
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) != multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54))))
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = multiply(multiply(X_53,inverse(X_53)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54))))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_201,plain,
( multiply(X_12,multiply(X_54,inverse(X_54))) != X_12
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = multiply(multiply(X_53,inverse(X_53)),X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) = multiply(multiply(X_53,inverse(X_53)),X_12),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_54,inverse(X_54))),X_12) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) != X_12
| multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) != multiply(multiply(X_53,inverse(X_53)),X_12)
| multiply(multiply(X_53,inverse(X_53)),X_12) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),X_12) ),[0],$fot(multiply(multiply(X_53,inverse(X_53)),X_12))]]) ).
cnf(refute_0_204,plain,
( multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))) != X_12
| multiply(multiply(X_53,inverse(X_53)),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),multiply(multiply(X_53,inverse(X_53)),X_12)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(multiply(X_53,inverse(X_53)),X_12) = X_12,
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),multiply(X_12,multiply(X_54,inverse(X_54)))),X_12) )],[refute_0_192,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(multiply(X_53,inverse(X_53)),X_58) = X_58,
inference(subst,[],[refute_0_205:[bind(X_12,$fot(X_58))]]) ).
cnf(refute_0_207,plain,
( multiply(multiply(X_53,inverse(X_53)),X_58) != X_58
| multiply(multiply(X_59,multiply(multiply(X_53,inverse(X_53)),X_58)),inverse(X_59)) != multiply(multiply(X_53,inverse(X_53)),X_58)
| multiply(multiply(X_59,X_58),inverse(X_59)) = multiply(multiply(X_53,inverse(X_53)),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_59,multiply(multiply(X_53,inverse(X_53)),X_58)),inverse(X_59)),multiply(multiply(X_53,inverse(X_53)),X_58)) ),[0,0,1],$fot(X_58)]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(X_59,multiply(multiply(X_53,inverse(X_53)),X_58)),inverse(X_59)) != multiply(multiply(X_53,inverse(X_53)),X_58)
| multiply(multiply(X_59,X_58),inverse(X_59)) = multiply(multiply(X_53,inverse(X_53)),X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),X_58),X_58) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(multiply(X_59,X_58),inverse(X_59)) = multiply(multiply(X_53,inverse(X_53)),X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(X_59,multiply(multiply(X_53,inverse(X_53)),X_58)),inverse(X_59)),multiply(multiply(X_53,inverse(X_53)),X_58)) )],[refute_0_140,refute_0_208]) ).
cnf(refute_0_210,plain,
( multiply(multiply(X_53,inverse(X_53)),X_58) != X_58
| multiply(multiply(X_59,X_58),inverse(X_59)) != multiply(multiply(X_53,inverse(X_53)),X_58)
| multiply(multiply(X_59,X_58),inverse(X_59)) = X_58 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_59,X_58),inverse(X_59)),multiply(multiply(X_53,inverse(X_53)),X_58)) ),[1],$fot(X_58)]]) ).
cnf(refute_0_211,plain,
( multiply(multiply(X_59,X_58),inverse(X_59)) != multiply(multiply(X_53,inverse(X_53)),X_58)
| multiply(multiply(X_59,X_58),inverse(X_59)) = X_58 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,inverse(X_53)),X_58),X_58) )],[refute_0_206,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(multiply(X_59,X_58),inverse(X_59)) = X_58,
inference(resolve,[$cnf( $equal(multiply(multiply(X_59,X_58),inverse(X_59)),multiply(multiply(X_53,inverse(X_53)),X_58)) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(multiply(multiply(X_61,X_60),inverse(X_61)),inverse(multiply(X_61,X_60))) = inverse(X_61),
inference(subst,[],[refute_0_212:[bind(X_58,$fot(inverse(X_61))),bind(X_59,$fot(multiply(X_61,X_60)))]]) ).
cnf(refute_0_214,plain,
multiply(multiply(X_61,X_60),inverse(X_61)) = X_60,
inference(subst,[],[refute_0_212:[bind(X_58,$fot(X_60)),bind(X_59,$fot(X_61))]]) ).
cnf(refute_0_215,plain,
( multiply(multiply(X_61,X_60),inverse(X_61)) != X_60
| multiply(multiply(multiply(X_61,X_60),inverse(X_61)),inverse(multiply(X_61,X_60))) != inverse(X_61)
| multiply(X_60,inverse(multiply(X_61,X_60))) = inverse(X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_61,X_60),inverse(X_61)),inverse(multiply(X_61,X_60))),inverse(X_61)) ),[0,0],$fot(X_60)]]) ).
cnf(refute_0_216,plain,
( multiply(multiply(multiply(X_61,X_60),inverse(X_61)),inverse(multiply(X_61,X_60))) != inverse(X_61)
| multiply(X_60,inverse(multiply(X_61,X_60))) = inverse(X_61) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,X_60),inverse(X_61)),X_60) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(X_60,inverse(multiply(X_61,X_60))) = inverse(X_61),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_61,X_60),inverse(X_61)),inverse(multiply(X_61,X_60))),inverse(X_61)) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(X_15,inverse(multiply(X_63,X_15))) = inverse(X_63),
inference(subst,[],[refute_0_217:[bind(X_60,$fot(X_15)),bind(X_61,$fot(X_63))]]) ).
cnf(refute_0_219,plain,
( multiply(X_15,inverse(multiply(X_63,X_15))) != inverse(X_63)
| double_divide(inverse(X_15),multiply(X_15,inverse(multiply(X_63,X_15)))) != multiply(X_63,X_15)
| double_divide(inverse(X_15),inverse(X_63)) = multiply(X_63,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),multiply(X_15,inverse(multiply(X_63,X_15)))),multiply(X_63,X_15)) ),[0,1],$fot(inverse(X_63))]]) ).
cnf(refute_0_220,plain,
( double_divide(inverse(X_15),multiply(X_15,inverse(multiply(X_63,X_15)))) != multiply(X_63,X_15)
| double_divide(inverse(X_15),inverse(X_63)) = multiply(X_63,X_15) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_63,X_15))),inverse(X_63)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
double_divide(inverse(X_15),inverse(X_63)) = multiply(X_63,X_15),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),multiply(X_15,inverse(multiply(X_63,X_15)))),multiply(X_63,X_15)) )],[refute_0_132,refute_0_220]) ).
cnf(refute_0_222,plain,
double_divide(inverse(double_divide(B,A)),inverse(X_65)) = multiply(X_65,double_divide(B,A)),
inference(subst,[],[refute_0_221:[bind(X_15,$fot(double_divide(B,A))),bind(X_63,$fot(X_65))]]) ).
cnf(refute_0_223,plain,
( double_divide(inverse(double_divide(B,A)),inverse(X_65)) != multiply(X_65,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(X_65)) = multiply(X_65,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(X_65)),multiply(X_65,double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_224,plain,
( double_divide(inverse(double_divide(B,A)),inverse(X_65)) != multiply(X_65,double_divide(B,A))
| double_divide(multiply(A,B),inverse(X_65)) = multiply(X_65,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(multiply(A,B),inverse(X_65)) = multiply(X_65,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(X_65)),multiply(X_65,double_divide(B,A))) )],[refute_0_222,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(multiply(X_11,X_10),inverse(X_3)) = multiply(X_3,double_divide(X_10,X_11)),
inference(subst,[],[refute_0_225:[bind(A,$fot(X_11)),bind(B,$fot(X_10)),bind(X_65,$fot(X_3))]]) ).
cnf(refute_0_227,plain,
( double_divide(multiply(X_11,X_10),inverse(X_3)) != multiply(X_3,double_divide(X_10,X_11))
| double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(multiply(X_11,X_10),inverse(X_3))
| double_divide(multiply(inverse(X_3),X_10),X_11) = multiply(X_3,double_divide(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(multiply(X_11,X_10),inverse(X_3))) ),[1],$fot(multiply(X_3,double_divide(X_10,X_11)))]]) ).
cnf(refute_0_228,plain,
( double_divide(multiply(inverse(X_3),X_10),X_11) != double_divide(multiply(X_11,X_10),inverse(X_3))
| double_divide(multiply(inverse(X_3),X_10),X_11) = multiply(X_3,double_divide(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_11,X_10),inverse(X_3)),multiply(X_3,double_divide(X_10,X_11))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
double_divide(multiply(inverse(X_3),X_10),X_11) = multiply(X_3,double_divide(X_10,X_11)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),X_10),X_11),double_divide(multiply(X_11,X_10),inverse(X_3))) )],[refute_0_131,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(multiply(inverse(X_29),X_2),X_4) = multiply(X_29,double_divide(X_2,X_4)),
inference(subst,[],[refute_0_229:[bind(X_10,$fot(X_2)),bind(X_11,$fot(X_4)),bind(X_3,$fot(X_29))]]) ).
cnf(refute_0_231,plain,
( double_divide(multiply(inverse(X_29),X_2),X_4) != multiply(X_29,double_divide(X_2,X_4))
| double_divide(multiply(inverse(X_29),X_2),X_4) != double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))
| multiply(X_29,double_divide(X_2,X_4)) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_29),X_2),X_4),double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))) ),[0],$fot(multiply(X_29,double_divide(X_2,X_4)))]]) ).
cnf(refute_0_232,plain,
( double_divide(multiply(inverse(X_29),X_2),X_4) != double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))
| multiply(X_29,double_divide(X_2,X_4)) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_29),X_2),X_4),multiply(X_29,double_divide(X_2,X_4))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_29,double_divide(X_2,X_4)) = double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_29),X_2),X_4),double_divide(multiply(X_4,multiply(inverse(X_27),X_2)),multiply(X_27,inverse(X_29)))) )],[refute_0_63,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_98,double_divide(double_divide(inverse(X_72),X_72),inverse(X_63))) = double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))),
inference(subst,[],[refute_0_233:[bind(X_2,$fot(double_divide(inverse(X_72),X_72))),bind(X_27,$fot(X_97)),bind(X_29,$fot(X_98)),bind(X_4,$fot(inverse(X_63)))]]) ).
cnf(refute_0_235,plain,
double_divide(inverse(multiply(X_73,inverse(X_73))),inverse(X_63)) = multiply(X_63,multiply(X_73,inverse(X_73))),
inference(subst,[],[refute_0_221:[bind(X_15,$fot(multiply(X_73,inverse(X_73))))]]) ).
cnf(refute_0_236,plain,
multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_70,inverse(X_70)))) = double_divide(inverse(X_40),X_40),
inference(subst,[],[refute_0_157:[bind(X_18,$fot(multiply(X_70,inverse(X_70))))]]) ).
cnf(refute_0_237,plain,
multiply(X_51,inverse(X_51)) = multiply(X_25,inverse(X_25)),
inference(subst,[],[refute_0_182:[bind(A,$fot(X_51)),bind(X_49,$fot(X_25))]]) ).
cnf(refute_0_238,plain,
( multiply(X_51,inverse(X_51)) != multiply(X_25,inverse(X_25))
| multiply(X_25,inverse(X_25)) = multiply(X_51,inverse(X_51)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_51,inverse(X_51)))),bind(Y,$fot(multiply(X_25,inverse(X_25))))]]) ).
cnf(refute_0_239,plain,
multiply(X_25,inverse(X_25)) = multiply(X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(multiply(X_51,inverse(X_51)),multiply(X_25,inverse(X_25))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( multiply(X_25,inverse(X_25)) != multiply(X_51,inverse(X_51))
| multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_25,inverse(X_25)))
| multiply(inverse(X_25),inverse(inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_25,inverse(X_25)))) ),[1,0],$fot(multiply(X_51,inverse(X_51)))]]) ).
cnf(refute_0_241,plain,
( multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_25,inverse(X_25)))
| multiply(inverse(X_25),inverse(inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))) ),
inference(resolve,[$cnf( $equal(multiply(X_25,inverse(X_25)),multiply(X_51,inverse(X_51))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(X_25),inverse(inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_25,inverse(X_25)))) )],[refute_0_146,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_25,inverse(X_25)))
| multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_51,inverse(X_51)))
| inverse(multiply(X_25,inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_51,inverse(X_51)))) ),[0],$fot(inverse(multiply(X_25,inverse(X_25))))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(X_25),inverse(inverse(X_25))) != inverse(multiply(X_51,inverse(X_51)))
| inverse(multiply(X_25,inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_25,inverse(X_25)))) )],[refute_0_146,refute_0_243]) ).
cnf(refute_0_245,plain,
inverse(multiply(X_25,inverse(X_25))) = inverse(multiply(X_51,inverse(X_51))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),inverse(inverse(X_25))),inverse(multiply(X_51,inverse(X_51)))) )],[refute_0_242,refute_0_244]) ).
cnf(refute_0_246,plain,
inverse(multiply(X_70,inverse(X_70))) = inverse(multiply(X_71,inverse(X_71))),
inference(subst,[],[refute_0_245:[bind(X_25,$fot(X_70)),bind(X_51,$fot(X_71))]]) ).
cnf(refute_0_247,plain,
( multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_70,inverse(X_70)))) != double_divide(inverse(X_40),X_40)
| inverse(multiply(X_70,inverse(X_70))) != inverse(multiply(X_71,inverse(X_71)))
| multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) = double_divide(inverse(X_40),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_70,inverse(X_70)))),double_divide(inverse(X_40),X_40)) ),[0,1],$fot(inverse(multiply(X_71,inverse(X_71))))]]) ).
cnf(refute_0_248,plain,
( multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_70,inverse(X_70)))) != double_divide(inverse(X_40),X_40)
| multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) = double_divide(inverse(X_40),X_40) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_70,inverse(X_70))),inverse(multiply(X_71,inverse(X_71)))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) = double_divide(inverse(X_40),X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_70,inverse(X_70)))),double_divide(inverse(X_40),X_40)) )],[refute_0_236,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) = inverse(multiply(X_71,inverse(X_71))),
inference(subst,[],[refute_0_205:[bind(X_12,$fot(inverse(multiply(X_71,inverse(X_71))))),bind(X_53,$fot(X_70))]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) != double_divide(inverse(X_40),X_40)
| multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) != inverse(multiply(X_71,inverse(X_71)))
| inverse(multiply(X_71,inverse(X_71))) = double_divide(inverse(X_40),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))),double_divide(inverse(X_40),X_40)) ),[0],$fot(inverse(multiply(X_71,inverse(X_71))))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))) != double_divide(inverse(X_40),X_40)
| inverse(multiply(X_71,inverse(X_71))) = double_divide(inverse(X_40),X_40) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))),inverse(multiply(X_71,inverse(X_71)))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(multiply(X_71,inverse(X_71))) = double_divide(inverse(X_40),X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(X_70,inverse(X_70)),inverse(multiply(X_71,inverse(X_71)))),double_divide(inverse(X_40),X_40)) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(multiply(X_73,inverse(X_73))) = double_divide(inverse(X_72),X_72),
inference(subst,[],[refute_0_253:[bind(X_40,$fot(X_72)),bind(X_71,$fot(X_73))]]) ).
cnf(refute_0_255,plain,
( double_divide(inverse(multiply(X_73,inverse(X_73))),inverse(X_63)) != multiply(X_63,multiply(X_73,inverse(X_73)))
| inverse(multiply(X_73,inverse(X_73))) != double_divide(inverse(X_72),X_72)
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = multiply(X_63,multiply(X_73,inverse(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_73,inverse(X_73))),inverse(X_63)),multiply(X_63,multiply(X_73,inverse(X_73)))) ),[0,0],$fot(double_divide(inverse(X_72),X_72))]]) ).
cnf(refute_0_256,plain,
( double_divide(inverse(multiply(X_73,inverse(X_73))),inverse(X_63)) != multiply(X_63,multiply(X_73,inverse(X_73)))
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = multiply(X_63,multiply(X_73,inverse(X_73))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_73,inverse(X_73))),double_divide(inverse(X_72),X_72)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = multiply(X_63,multiply(X_73,inverse(X_73))),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_73,inverse(X_73))),inverse(X_63)),multiply(X_63,multiply(X_73,inverse(X_73)))) )],[refute_0_235,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(X_63,multiply(X_73,inverse(X_73))) = X_63,
inference(subst,[],[refute_0_197:[bind(X_25,$fot(X_73)),bind(X_44,$fot(X_63))]]) ).
cnf(refute_0_259,plain,
( multiply(X_63,multiply(X_73,inverse(X_73))) != X_63
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) != multiply(X_63,multiply(X_73,inverse(X_73)))
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = X_63 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)),multiply(X_63,multiply(X_73,inverse(X_73)))) ),[1],$fot(X_63)]]) ).
cnf(refute_0_260,plain,
( double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) != multiply(X_63,multiply(X_73,inverse(X_73)))
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = X_63 ),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_73,inverse(X_73))),X_63) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) = X_63,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)),multiply(X_63,multiply(X_73,inverse(X_73)))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
( multiply(X_98,double_divide(double_divide(inverse(X_72),X_72),inverse(X_63))) != double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))
| double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)) != X_63
| multiply(X_98,X_63) = double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,double_divide(double_divide(inverse(X_72),X_72),inverse(X_63))),double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))) ),[0,1],$fot(X_63)]]) ).
cnf(refute_0_263,plain,
( multiply(X_98,double_divide(double_divide(inverse(X_72),X_72),inverse(X_63))) != double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))
| multiply(X_98,X_63) = double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_72),X_72),inverse(X_63)),X_63) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(X_98,X_63) = double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))),
inference(resolve,[$cnf( $equal(multiply(X_98,double_divide(double_divide(inverse(X_72),X_72),inverse(X_63))),double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))) )],[refute_0_234,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(C))),C) = B,
inference(subst,[],[refute_0_75:[bind(X_2,$fot(inverse(C)))]]) ).
cnf(refute_0_266,plain,
multiply(double_divide(inverse(C),C),inverse(X_3)) = inverse(X_3),
inference(subst,[],[refute_0_119:[bind(A,$fot(C))]]) ).
cnf(refute_0_267,plain,
( multiply(double_divide(inverse(C),C),inverse(X_3)) != inverse(X_3)
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(C))),C) != B
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(C))),C),B) ),[0,0,1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_268,plain,
( double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(C))),C) != B
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = B ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(X_3)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(multiply(double_divide(inverse(C),C),inverse(X_3)),inverse(C))),C),B) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),X_6)) = multiply(A,inverse(double_divide(X_6,X_5))),
inference(subst,[],[refute_0_48:[bind(B,$fot(inverse(double_divide(X_6,X_5))))]]) ).
cnf(refute_0_271,plain,
multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))) = A,
inference(subst,[],[refute_0_115:[bind(X_12,$fot(A)),bind(X_18,$fot(double_divide(X_6,X_5)))]]) ).
cnf(refute_0_272,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),X_6)) != multiply(A,inverse(double_divide(X_6,X_5)))
| multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))) != A
| multiply(X_5,multiply(A,X_6)) = multiply(A,inverse(double_divide(X_6,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),X_6)),multiply(A,inverse(double_divide(X_6,X_5)))) ),[0,1,0],$fot(A)]]) ).
cnf(refute_0_273,plain,
( multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),X_6)) != multiply(A,inverse(double_divide(X_6,X_5)))
| multiply(X_5,multiply(A,X_6)) = multiply(A,inverse(double_divide(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),A) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(X_5,multiply(A,X_6)) = multiply(A,inverse(double_divide(X_6,X_5))),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(double_divide(X_6,X_5),multiply(A,inverse(double_divide(X_6,X_5)))),X_6)),multiply(A,inverse(double_divide(X_6,X_5)))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(double_divide(X_6,X_5)) = multiply(X_5,X_6),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_5)),bind(B,$fot(X_6))]]) ).
cnf(refute_0_276,plain,
multiply(A,inverse(double_divide(X_6,X_5))) = multiply(A,inverse(double_divide(X_6,X_5))),
introduced(tautology,[refl,[$fot(multiply(A,inverse(double_divide(X_6,X_5))))]]) ).
cnf(refute_0_277,plain,
( multiply(A,inverse(double_divide(X_6,X_5))) != multiply(A,inverse(double_divide(X_6,X_5)))
| inverse(double_divide(X_6,X_5)) != multiply(X_5,X_6)
| multiply(A,inverse(double_divide(X_6,X_5))) = multiply(A,multiply(X_5,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(double_divide(X_6,X_5))),multiply(A,inverse(double_divide(X_6,X_5)))) ),[1,1],$fot(multiply(X_5,X_6))]]) ).
cnf(refute_0_278,plain,
( inverse(double_divide(X_6,X_5)) != multiply(X_5,X_6)
| multiply(A,inverse(double_divide(X_6,X_5))) = multiply(A,multiply(X_5,X_6)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(X_6,X_5))),multiply(A,inverse(double_divide(X_6,X_5)))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(A,inverse(double_divide(X_6,X_5))) = multiply(A,multiply(X_5,X_6)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_6,X_5)),multiply(X_5,X_6)) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiply(A,inverse(double_divide(X_6,X_5))) != multiply(A,multiply(X_5,X_6))
| multiply(X_5,multiply(A,X_6)) != multiply(A,inverse(double_divide(X_6,X_5)))
| multiply(X_5,multiply(A,X_6)) = multiply(A,multiply(X_5,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(A,X_6)),multiply(A,inverse(double_divide(X_6,X_5)))) ),[1],$fot(multiply(A,multiply(X_5,X_6)))]]) ).
cnf(refute_0_281,plain,
( multiply(X_5,multiply(A,X_6)) != multiply(A,inverse(double_divide(X_6,X_5)))
| multiply(X_5,multiply(A,X_6)) = multiply(A,multiply(X_5,X_6)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(X_6,X_5))),multiply(A,multiply(X_5,X_6))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_5,multiply(A,X_6)) = multiply(A,multiply(X_5,X_6)),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(A,X_6)),multiply(A,inverse(double_divide(X_6,X_5)))) )],[refute_0_274,refute_0_281]) ).
cnf(refute_0_283,plain,
( multiply(X_5,multiply(A,X_6)) != multiply(A,multiply(X_5,X_6))
| multiply(A,multiply(X_5,X_6)) = multiply(X_5,multiply(A,X_6)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_5,multiply(A,X_6)))),bind(Y,$fot(multiply(A,multiply(X_5,X_6))))]]) ).
cnf(refute_0_284,plain,
multiply(A,multiply(X_5,X_6)) = multiply(X_5,multiply(A,X_6)),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(A,X_6)),multiply(A,multiply(X_5,X_6))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))) = multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),
inference(subst,[],[refute_0_284:[bind(A,$fot(multiply(X_3,inverse(B)))),bind(X_5,$fot(inverse(X_3))),bind(X_6,$fot(inverse(C)))]]) ).
cnf(refute_0_286,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C))]]) ).
cnf(refute_0_287,plain,
( multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))) != multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C)))
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) != double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C)
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C)) ),[1,0],$fot(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))))]]) ).
cnf(refute_0_288,plain,
( multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))) != multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C)))
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) = double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C)))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) != B
| double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) != double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C)
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),B) ),[0],$fot(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C))]]) ).
cnf(refute_0_291,plain,
( double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C) != B
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),multiply(inverse(X_3),inverse(C))),C),B) )],[refute_0_269,refute_0_291]) ).
cnf(refute_0_293,plain,
double_divide(inverse(double_divide(B,A)),multiply(double_divide(B,A),multiply(X_46,X_47))) = double_divide(X_47,X_46),
inference(subst,[],[refute_0_151:[bind(A,$fot(X_46)),bind(B,$fot(X_47)),bind(X_17,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_294,plain,
( double_divide(inverse(double_divide(B,A)),multiply(double_divide(B,A),multiply(X_46,X_47))) != double_divide(X_47,X_46)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) = double_divide(X_47,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),multiply(double_divide(B,A),multiply(X_46,X_47))),double_divide(X_47,X_46)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_295,plain,
( double_divide(inverse(double_divide(B,A)),multiply(double_divide(B,A),multiply(X_46,X_47))) != double_divide(X_47,X_46)
| double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) = double_divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_294]) ).
cnf(refute_0_296,plain,
double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) = double_divide(X_47,X_46),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),multiply(double_divide(B,A),multiply(X_46,X_47))),double_divide(X_47,X_46)) )],[refute_0_293,refute_0_295]) ).
cnf(refute_0_297,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_38,inverse(A)))),X_2),X_4) = double_divide(multiply(X_38,inverse(A)),A),
inference(subst,[],[refute_0_26:[bind(B,$fot(multiply(X_38,inverse(A))))]]) ).
cnf(refute_0_298,plain,
multiply(A,multiply(X_38,inverse(A))) = X_38,
inference(subst,[],[refute_0_115:[bind(X_12,$fot(X_38)),bind(X_18,$fot(A))]]) ).
cnf(refute_0_299,plain,
( multiply(A,multiply(X_38,inverse(A))) != X_38
| double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_38,inverse(A)))),X_2),X_4) != double_divide(multiply(X_38,inverse(A)),A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) = double_divide(multiply(X_38,inverse(A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_38,inverse(A)))),X_2),X_4),double_divide(multiply(X_38,inverse(A)),A)) ),[0,0,0,1],$fot(X_38)]]) ).
cnf(refute_0_300,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_38,inverse(A)))),X_2),X_4) != double_divide(multiply(X_38,inverse(A)),A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) = double_divide(multiply(X_38,inverse(A)),A) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_38,inverse(A))),X_38) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) = double_divide(multiply(X_38,inverse(A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,multiply(X_38,inverse(A)))),X_2),X_4),double_divide(multiply(X_38,inverse(A)),A)) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A),
inference(subst,[],[refute_0_26:[bind(B,$fot(inverse(double_divide(X_2,X_4))))]]) ).
cnf(refute_0_303,plain,
multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))) = A,
inference(subst,[],[refute_0_115:[bind(X_12,$fot(A)),bind(X_18,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_304,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_305,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( $equal(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),A) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(multiply(A,X_2),X_4) = double_divide(inverse(double_divide(X_2,X_4)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),multiply(A,inverse(double_divide(X_2,X_4)))),X_2),X_4),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
inverse(double_divide(X_2,X_4)) = multiply(X_4,X_2),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_4)),bind(B,$fot(X_2))]]) ).
cnf(refute_0_308,plain,
double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(inverse(double_divide(X_2,X_4)),A),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_2,X_4)),A))]]) ).
cnf(refute_0_309,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_310,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( $equal(double_divide(inverse(double_divide(X_2,X_4)),A),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(inverse(double_divide(X_2,X_4)),A) = double_divide(multiply(X_4,X_2),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_2,X_4)),multiply(X_4,X_2)) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
( double_divide(multiply(A,X_2),X_4) != double_divide(inverse(double_divide(X_2,X_4)),A)
| double_divide(inverse(double_divide(X_2,X_4)),A) != double_divide(multiply(X_4,X_2),A)
| double_divide(multiply(A,X_2),X_4) = double_divide(multiply(X_4,X_2),A) ),
introduced(tautology,[equality,[$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_313,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( $equal(double_divide(inverse(double_divide(X_2,X_4)),A),double_divide(multiply(X_4,X_2),A)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
double_divide(multiply(A,X_2),X_4) = double_divide(multiply(X_4,X_2),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,X_2),X_4),double_divide(inverse(double_divide(X_2,X_4)),A)) )],[refute_0_306,refute_0_313]) ).
cnf(refute_0_315,plain,
( double_divide(multiply(A,X_2),X_4) != double_divide(multiply(X_4,X_2),A)
| double_divide(multiply(X_4,X_2),A) = double_divide(multiply(A,X_2),X_4) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(multiply(A,X_2),X_4))),bind(Y,$fot(double_divide(multiply(X_4,X_2),A)))]]) ).
cnf(refute_0_316,plain,
double_divide(multiply(X_4,X_2),A) = double_divide(multiply(A,X_2),X_4),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,X_2),X_4),double_divide(multiply(X_4,X_2),A)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) = double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38)),
inference(subst,[],[refute_0_316:[bind(A,$fot(X_4)),bind(X_4,$fot(multiply(double_divide(X_2,X_4),X_38)))]]) ).
cnf(refute_0_318,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) != double_divide(multiply(X_38,inverse(A)),A)
| double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) != double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38))
| double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38)) = double_divide(multiply(X_38,inverse(A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4),double_divide(multiply(X_38,inverse(A)),A)) ),[0],$fot(double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38)))]]) ).
cnf(refute_0_319,plain,
( double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4) != double_divide(multiply(X_38,inverse(A)),A)
| double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38)) = double_divide(multiply(X_38,inverse(A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4),double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(multiply(X_4,X_2),multiply(double_divide(X_2,X_4),X_38)) = double_divide(multiply(X_38,inverse(A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_2,X_4),X_38),X_2),X_4),double_divide(multiply(X_38,inverse(A)),A)) )],[refute_0_301,refute_0_319]) ).
cnf(refute_0_321,plain,
double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) = double_divide(multiply(multiply(X_46,X_47),inverse(A)),A),
inference(subst,[],[refute_0_320:[bind(X_2,$fot(B)),bind(X_38,$fot(multiply(X_46,X_47))),bind(X_4,$fot(A))]]) ).
cnf(refute_0_322,plain,
( double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) != double_divide(X_47,X_46)
| double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) != double_divide(multiply(multiply(X_46,X_47),inverse(A)),A)
| double_divide(multiply(multiply(X_46,X_47),inverse(A)),A) = double_divide(X_47,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))),double_divide(X_47,X_46)) ),[0],$fot(double_divide(multiply(multiply(X_46,X_47),inverse(A)),A))]]) ).
cnf(refute_0_323,plain,
( double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))) != double_divide(X_47,X_46)
| double_divide(multiply(multiply(X_46,X_47),inverse(A)),A) = double_divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))),double_divide(multiply(multiply(X_46,X_47),inverse(A)),A)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(multiply(multiply(X_46,X_47),inverse(A)),A) = double_divide(X_47,X_46),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),multiply(double_divide(B,A),multiply(X_46,X_47))),double_divide(X_47,X_46)) )],[refute_0_296,refute_0_323]) ).
cnf(refute_0_325,plain,
double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C) = double_divide(inverse(B),X_3),
inference(subst,[],[refute_0_324:[bind(A,$fot(C)),bind(X_46,$fot(X_3)),bind(X_47,$fot(inverse(B)))]]) ).
cnf(refute_0_326,plain,
multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) = multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)),
introduced(tautology,[refl,[$fot(multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)))]]) ).
cnf(refute_0_327,plain,
( multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) != multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C))
| double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C) != double_divide(inverse(B),X_3)
| multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) = multiply(X_3,double_divide(inverse(B),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)),multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C))) ),[1,1],$fot(double_divide(inverse(B),X_3))]]) ).
cnf(refute_0_328,plain,
( double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C) != double_divide(inverse(B),X_3)
| multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) = multiply(X_3,double_divide(inverse(B),X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)),multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) = multiply(X_3,double_divide(inverse(B),X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C),double_divide(inverse(B),X_3)) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)),
inference(subst,[],[refute_0_229:[bind(X_10,$fot(multiply(multiply(X_3,inverse(B)),inverse(C)))),bind(X_11,$fot(C))]]) ).
cnf(refute_0_331,plain,
( multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) != multiply(X_3,double_divide(inverse(B),X_3))
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) != multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C))
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = multiply(X_3,double_divide(inverse(B),X_3)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C))),bind(Y,$fot(multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)))),bind(Z,$fot(multiply(X_3,double_divide(inverse(B),X_3))))]]) ).
cnf(refute_0_332,plain,
( multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)) != multiply(X_3,double_divide(inverse(B),X_3))
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = multiply(X_3,double_divide(inverse(B),X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C),multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) = multiply(X_3,double_divide(inverse(B),X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,double_divide(multiply(multiply(X_3,inverse(B)),inverse(C)),C)),multiply(X_3,double_divide(inverse(B),X_3))) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
( double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) != B
| double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) != multiply(X_3,double_divide(inverse(B),X_3))
| multiply(X_3,double_divide(inverse(B),X_3)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C),B) ),[0],$fot(multiply(X_3,double_divide(inverse(B),X_3)))]]) ).
cnf(refute_0_335,plain,
( double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C) != B
| multiply(X_3,double_divide(inverse(B),X_3)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C),multiply(X_3,double_divide(inverse(B),X_3))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(X_3,double_divide(inverse(B),X_3)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),multiply(multiply(X_3,inverse(B)),inverse(C))),C),B) )],[refute_0_292,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(X_97,double_divide(inverse(X_98),X_97)) = X_98,
inference(subst,[],[refute_0_336:[bind(B,$fot(X_98)),bind(X_3,$fot(X_97))]]) ).
cnf(refute_0_338,plain,
double_divide(double_divide(inverse(X_81),X_81),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_261:[bind(X_63,$fot(double_divide(B,A))),bind(X_72,$fot(X_81))]]) ).
cnf(refute_0_339,plain,
( double_divide(double_divide(inverse(X_81),X_81),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(inverse(X_81),X_81),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_81),X_81),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_340,plain,
( double_divide(double_divide(inverse(X_81),X_81),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(double_divide(inverse(X_81),X_81),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_339]) ).
cnf(refute_0_341,plain,
double_divide(double_divide(inverse(X_81),X_81),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_81),X_81),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_338,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))) = double_divide(inverse(X_98),X_97),
inference(subst,[],[refute_0_341:[bind(A,$fot(X_97)),bind(B,$fot(inverse(X_98))),bind(X_81,$fot(X_72))]]) ).
cnf(refute_0_343,plain,
multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),
introduced(tautology,[refl,[$fot(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))))]]) ).
cnf(refute_0_344,plain,
( multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) != multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))))
| double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))) != double_divide(inverse(X_98),X_97)
| multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = multiply(X_97,double_divide(inverse(X_98),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))))) ),[1,1],$fot(double_divide(inverse(X_98),X_97))]]) ).
cnf(refute_0_345,plain,
( double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))) != double_divide(inverse(X_98),X_97)
| multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = multiply(X_97,double_divide(inverse(X_98),X_97)) ),
inference(resolve,[$cnf( $equal(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = multiply(X_97,double_divide(inverse(X_98),X_97)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))),double_divide(inverse(X_98),X_97)) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) != multiply(X_97,double_divide(inverse(X_98),X_97))
| multiply(X_97,double_divide(inverse(X_98),X_97)) != X_98
| multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = X_98 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))))),bind(Y,$fot(multiply(X_97,double_divide(inverse(X_98),X_97)))),bind(Z,$fot(X_98))]]) ).
cnf(refute_0_348,plain,
( multiply(X_97,double_divide(inverse(X_98),X_97)) != X_98
| multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = X_98 ),
inference(resolve,[$cnf( $equal(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),multiply(X_97,double_divide(inverse(X_98),X_97))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) = X_98,
inference(resolve,[$cnf( $equal(multiply(X_97,double_divide(inverse(X_98),X_97)),X_98) )],[refute_0_337,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) = multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),
inference(subst,[],[refute_0_229:[bind(X_10,$fot(double_divide(inverse(X_72),X_72))),bind(X_11,$fot(multiply(X_97,inverse(X_98)))),bind(X_3,$fot(X_97))]]) ).
cnf(refute_0_351,plain,
( multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) != X_98
| double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) != multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))))
| double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) = X_98 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))),bind(Y,$fot(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))))),bind(Z,$fot(X_98))]]) ).
cnf(refute_0_352,plain,
( multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))) != X_98
| double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) = X_98 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))),multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) = X_98,
inference(resolve,[$cnf( $equal(multiply(X_97,double_divide(double_divide(inverse(X_72),X_72),multiply(X_97,inverse(X_98)))),X_98) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) = multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))),
introduced(tautology,[refl,[$fot(multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))))]]) ).
cnf(refute_0_355,plain,
( multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) != multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))
| double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) != X_98
| multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) = multiply(X_63,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))),multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))) ),[1,1],$fot(X_98)]]) ).
cnf(refute_0_356,plain,
( double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))) != X_98
| multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) = multiply(X_63,X_98) ),
inference(resolve,[$cnf( $equal(multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))),multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) = multiply(X_63,X_98),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))),X_98) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) = multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))),
inference(subst,[],[refute_0_229:[bind(X_10,$fot(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)))),bind(X_11,$fot(multiply(X_97,inverse(X_98)))),bind(X_3,$fot(X_63))]]) ).
cnf(refute_0_359,plain,
( multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) != multiply(X_63,X_98)
| double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) != multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))
| double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) = multiply(X_63,X_98) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))))),bind(Y,$fot(multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))))),bind(Z,$fot(multiply(X_63,X_98)))]]) ).
cnf(refute_0_360,plain,
( multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))) != multiply(X_63,X_98)
| double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) = multiply(X_63,X_98) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))),multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98))))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) = multiply(X_63,X_98),
inference(resolve,[$cnf( $equal(multiply(X_63,double_divide(multiply(inverse(X_97),double_divide(inverse(X_72),X_72)),multiply(X_97,inverse(X_98)))),multiply(X_63,X_98)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( multiply(X_98,X_63) != double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))
| double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))) != multiply(X_63,X_98)
| multiply(X_98,X_63) = multiply(X_63,X_98) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_98,X_63),multiply(X_63,X_98)) ),[0],$fot(double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))))]]) ).
cnf(refute_0_363,plain,
( multiply(X_98,X_63) != double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))
| multiply(X_98,X_63) = multiply(X_63,X_98) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98))),multiply(X_63,X_98)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(X_98,X_63) = multiply(X_63,X_98),
inference(resolve,[$cnf( $equal(multiply(X_98,X_63),double_divide(multiply(inverse(X_63),multiply(inverse(X_97),double_divide(inverse(X_72),X_72))),multiply(X_97,inverse(X_98)))) )],[refute_0_264,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(X_98,X_63) != multiply(X_63,X_98)
| multiply(X_63,X_98) = multiply(X_98,X_63) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_98,X_63))),bind(Y,$fot(multiply(X_63,X_98)))]]) ).
cnf(refute_0_366,plain,
multiply(X_63,X_98) = multiply(X_98,X_63),
inference(resolve,[$cnf( $equal(multiply(X_98,X_63),multiply(X_63,X_98)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_366:[bind(X_63,$fot(inverse(a1))),bind(X_98,$fot(a1))]]) ).
cnf(refute_0_368,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_369,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_366:[bind(X_63,$fot(inverse(b1))),bind(X_98,$fot(b1))]]) ).
cnf(refute_0_371,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_372,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_372,refute_0_369]) ).
cnf(refute_0_374,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_373,prove_these_axioms_1]) ).
cnf(refute_0_375,plain,
( multiply(A,inverse(A)) != multiply(X_49,inverse(X_49))
| multiply(X_49,inverse(X_49)) = multiply(A,inverse(A)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,inverse(A)))),bind(Y,$fot(multiply(X_49,inverse(X_49))))]]) ).
cnf(refute_0_376,plain,
multiply(X_49,inverse(X_49)) = multiply(A,inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),multiply(X_49,inverse(X_49))) )],[refute_0_182,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_376:[bind(A,$fot(b1)),bind(X_49,$fot(a1))]]) ).
cnf(refute_0_378,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_377,refute_0_374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP605-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 07:26:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.57/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.73
% 0.57/0.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.63/0.79
%------------------------------------------------------------------------------