TSTP Solution File: GRP600-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 10:43:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 68
% Syntax : Number of clauses : 230 ( 123 unt; 0 nHn; 105 RR)
% Number of literals : 389 ( 388 equ; 161 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 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 : 599 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(multiply(X_3,inverse(X_4)),X_2))),bind(B,$fot(double_divide(X_2,X_3)))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(inverse(C),B)) = multiply(B,inverse(C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_7,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(inverse(double_divide(inverse(C),B)),A),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(C),B)),A))]]) ).
cnf(refute_0_8,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(inverse(double_divide(inverse(C),B)),A)
| inverse(double_divide(inverse(C),B)) != multiply(B,inverse(C))
| multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(inverse(double_divide(inverse(C),B)),A)) ),[1,0],$fot(multiply(B,inverse(C)))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(inverse(C),B)) != multiply(B,inverse(C))
| multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(C),B)),multiply(B,inverse(C))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(inverse(double_divide(inverse(C),B)),A),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(double_divide(inverse(C),B)))),bind(B,$fot(A))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(multiply(B,inverse(C)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(inverse(double_divide(inverse(C),B)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))),bind(Y,$fot(multiply(inverse(double_divide(inverse(C),B)),A))),bind(Z,$fot(multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_15,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(multiply(B,inverse(C)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(multiply(B,inverse(C)),A)) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))))]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(multiply(B,inverse(C)),A)
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))) ),[1,1],$fot(multiply(multiply(B,inverse(C)),A))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(multiply(B,inverse(C)),A)
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(multiply(B,inverse(C)),A)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != C
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) ),[0],$fot(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != C
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) != inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) != X_4
| multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_26,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) != inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))
| multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(double_divide(inverse(X_4),X_6))),bind(X_3,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_29,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(X_4))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_30,plain,
( multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)) != inverse(X_7)
| multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))),inverse(X_4)) ),[0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_31,plain,
( multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),inverse(X_7)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))),inverse(X_4)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_6,$fot(multiply(inverse(X_53),X_53)))]]) ).
cnf(refute_0_34,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(double_divide(A,B))),bind(X_3,$fot(multiply(multiply(B,inverse(C)),A))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_35,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) != inverse(X_7)
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) != C
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) ),[0,1],$fot(C)]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) != inverse(X_7)
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),C) )],[refute_0_23,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7),
inference(subst,[],[refute_0_37:[bind(A,$fot(double_divide(X_22,X_23))),bind(B,$fot(multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))]]) ).
cnf(refute_0_39,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)) = inverse(C),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(X_7))),bind(X_7,$fot(C))]]) ).
cnf(refute_0_40,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)) != inverse(C)
| multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),inverse(C)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) = inverse(X_7),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_44,plain,
multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),
introduced(tautology,[refl,[$fot(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))))]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))
| double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)),inverse(X_7)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C))]]) ).
cnf(refute_0_49,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)) ),[1,0],$fot(multiply(inverse(C),inverse(X_7)))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),inverse(X_7))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != multiply(multiply(inverse(C),inverse(X_7)),C)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(C),inverse(X_7)),C))]]) ).
cnf(refute_0_53,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),inverse(X_7)),C)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) )],[refute_0_42,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) = inverse(X_7),
inference(subst,[],[refute_0_54:[bind(C,$fot(double_divide(X_52,inverse(X_52))))]]) ).
cnf(refute_0_56,plain,
multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_3,$fot(inverse(X_2)))]]) ).
cnf(refute_0_57,plain,
multiply(multiply(inverse(X_2),inverse(X_4)),X_2) = inverse(X_4),
inference(subst,[],[refute_0_54:[bind(C,$fot(X_2)),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_58,plain,
( multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) != inverse(X_4)
| multiply(multiply(inverse(X_2),inverse(X_4)),X_2) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))),inverse(X_4)) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_59,plain,
( multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),inverse(X_4)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))),inverse(X_4)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(double_divide(B,A)),double_divide(X_30,inverse(X_30))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_60:[bind(X_2,$fot(X_30)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(double_divide(B,A)),double_divide(X_30,inverse(X_30))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(X_30,inverse(X_30))),inverse(double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_63,plain,
( multiply(inverse(double_divide(B,A)),double_divide(X_30,inverse(X_30))) != inverse(double_divide(B,A))
| multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(X_30,inverse(X_30))),inverse(double_divide(B,A))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(X_30,inverse(X_30))),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_66,plain,
( multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) != inverse(double_divide(B,A))
| multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(multiply(A,B),double_divide(X_30,inverse(X_30))) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(X_30,inverse(X_30))),inverse(double_divide(B,A))) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) = multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(double_divide(X_52,inverse(X_52))))),bind(B,$fot(inverse(X_7))),bind(X_30,$fot(X_52))]]) ).
cnf(refute_0_69,plain,
( multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))
| multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != inverse(X_7)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),inverse(X_7)) ),[0],$fot(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)))]]) ).
cnf(refute_0_70,plain,
( multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != inverse(X_7)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),inverse(X_7)) )],[refute_0_55,refute_0_70]) ).
cnf(refute_0_72,plain,
inverse(double_divide(X_52,inverse(X_52))) = multiply(inverse(X_52),X_52),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_52))),bind(B,$fot(X_52))]]) ).
cnf(refute_0_73,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)))]]) ).
cnf(refute_0_74,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))
| inverse(double_divide(X_52,inverse(X_52))) != multiply(inverse(X_52),X_52)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) ),[1,0],$fot(multiply(inverse(X_52),X_52))]]) ).
cnf(refute_0_75,plain,
( inverse(double_divide(X_52,inverse(X_52))) != multiply(inverse(X_52),X_52)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_52,inverse(X_52))),multiply(inverse(X_52),X_52)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != multiply(multiply(inverse(X_52),X_52),inverse(X_7))
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != inverse(X_7)
| multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(X_52),X_52),inverse(X_7)))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != inverse(X_7)
| multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(multiply(inverse(X_52),X_52),inverse(X_7))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),inverse(X_7)) )],[refute_0_71,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(multiply(inverse(X_53),X_53),inverse(X_7)) = inverse(X_7),
inference(subst,[],[refute_0_79:[bind(X_52,$fot(X_53))]]) ).
cnf(refute_0_81,plain,
( multiply(multiply(inverse(X_53),X_53),inverse(X_7)) != inverse(X_7)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))),inverse(X_4)) ),[0,1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_53),X_53),inverse(X_7)),inverse(X_7)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))),inverse(X_4)) )],[refute_0_33,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_85,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)),double_divide(B,A)) ),[0,1,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_86,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) != double_divide(B,A)
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)),double_divide(B,A)) )],[refute_0_84,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(double_divide(multiply(X_8,X_9),X_3))),bind(X_3,$fot(multiply(X_3,inverse(X_4))))]]) ).
cnf(refute_0_89,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_90,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)) != inverse(X_4)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) != double_divide(X_9,X_8)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))),double_divide(X_9,X_8)) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) != double_divide(X_9,X_8)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)),inverse(X_4)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))),double_divide(X_9,X_8)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(subst,[],[refute_0_92:[bind(X_8,$fot(multiply(inverse(X_53),X_53))),bind(X_9,$fot(inverse(X_54)))]]) ).
cnf(refute_0_94,plain,
multiply(multiply(inverse(X_53),X_53),inverse(X_54)) = inverse(X_54),
inference(subst,[],[refute_0_79:[bind(X_52,$fot(X_53)),bind(X_7,$fot(X_54))]]) ).
cnf(refute_0_95,plain,
( multiply(multiply(inverse(X_53),X_53),inverse(X_54)) != inverse(X_54)
| double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) ),[0,0,0,0],$fot(inverse(X_54))]]) ).
cnf(refute_0_96,plain,
( double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),inverse(X_54)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(inverse(C),X_6))),bind(B,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_99,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(C))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_100,plain,
( multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) != inverse(X_7)
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) ),[0,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)),inverse(X_7)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = X_54,
inference(subst,[],[refute_0_102:[bind(C,$fot(X_54)),bind(X_6,$fot(X_3)),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_104,plain,
( double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != X_54
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) ),[0],$fot(X_54)]]) ).
cnf(refute_0_105,plain,
( double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),X_54) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_97,refute_0_105]) ).
cnf(refute_0_107,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) = X_54 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_54)),bind(Y,$fot(double_divide(inverse(X_54),multiply(inverse(X_53),X_53))))]]) ).
cnf(refute_0_108,plain,
double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) = X_54,
inference(resolve,[$cnf( $equal(X_54,double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) = X_4,
inference(subst,[],[refute_0_108:[bind(X_54,$fot(X_4))]]) ).
cnf(refute_0_110,plain,
double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))]]) ).
cnf(refute_0_111,plain,
( double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))
| double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) != X_4
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_112,plain,
( double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) != X_4
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),X_4) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))) ),[1,1],$fot(double_divide(X_4,inverse(X_7)))]]) ).
cnf(refute_0_116,plain,
( double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(X_4,inverse(X_7))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),inverse(X_4)) ),[0],$fot(multiply(inverse(X_7),double_divide(X_4,inverse(X_7))))]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),inverse(X_4)) )],[refute_0_83,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(inverse(inverse(X_78)),double_divide(X_4,inverse(inverse(X_78)))) = inverse(X_4),
inference(subst,[],[refute_0_120:[bind(X_7,$fot(inverse(X_78)))]]) ).
cnf(refute_0_122,plain,
X_54 = double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))),
inference(subst,[],[refute_0_106:[bind(X_53,$fot(inverse(inverse(X_54))))]]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(A,multiply(inverse(A),inverse(X_26))),multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(multiply(inverse(A),inverse(X_26))))]]) ).
cnf(refute_0_124,plain,
double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(X_2,X_3))),bind(B,$fot(multiply(multiply(X_3,inverse(X_4)),X_2)))]]) ).
cnf(refute_0_125,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) != X_4
| double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) != C
| double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_126,plain,
( double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) != C
| double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) )],[refute_0_124,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C,
inference(subst,[],[refute_0_127:[bind(X_2,$fot(double_divide(X_22,X_23))),bind(X_3,$fot(multiply(multiply(X_23,inverse(inverse(C))),X_22)))]]) ).
cnf(refute_0_129,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)) = inverse(X_4),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(C))),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_130,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)) != inverse(X_4)
| double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_131,plain,
( double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),inverse(X_4)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) = inverse(C),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(C)))]]) ).
cnf(refute_0_134,plain,
multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))]]) ).
cnf(refute_0_135,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))
| double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_136,plain,
( double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)),inverse(C)) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),
introduced(tautology,[refl,[$fot(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))))]]) ).
cnf(refute_0_139,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))) ),[1,1],$fot(multiply(inverse(X_4),inverse(C)))]]) ).
cnf(refute_0_140,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),inverse(C))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != double_divide(X_4,multiply(inverse(X_4),inverse(C)))
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) ),[0],$fot(double_divide(X_4,multiply(inverse(X_4),inverse(C))))]]) ).
cnf(refute_0_143,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),inverse(C)))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) )],[refute_0_132,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(A,multiply(inverse(A),inverse(X_26))) = X_26,
inference(subst,[],[refute_0_144:[bind(C,$fot(X_26)),bind(X_4,$fot(A))]]) ).
cnf(refute_0_146,plain,
( double_divide(A,multiply(inverse(A),inverse(X_26))) != X_26
| double_divide(double_divide(A,multiply(inverse(A),inverse(X_26))),multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) != C
| double_divide(X_26,multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(A),inverse(X_26))),multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)),C) ),[0,0],$fot(X_26)]]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(A,multiply(inverse(A),inverse(X_26))),multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) != C
| double_divide(X_26,multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(A),inverse(X_26))),X_26) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(X_26,multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(A),inverse(X_26))),multiply(multiply(multiply(inverse(A),inverse(X_26)),inverse(C)),A)),C) )],[refute_0_123,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(X_75,multiply(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_75))) = X_74,
inference(subst,[],[refute_0_148:[bind(A,$fot(inverse(X_75))),bind(C,$fot(X_74)),bind(X_26,$fot(X_75))]]) ).
cnf(refute_0_150,plain,
multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)) = inverse(X_74),
inference(subst,[],[refute_0_79:[bind(X_52,$fot(inverse(X_75))),bind(X_7,$fot(X_74))]]) ).
cnf(refute_0_151,plain,
( multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)) != inverse(X_74)
| double_divide(X_75,multiply(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_75))) != X_74
| double_divide(X_75,multiply(inverse(X_74),inverse(X_75))) = X_74 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_75,multiply(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_75))),X_74) ),[0,1,0],$fot(inverse(X_74))]]) ).
cnf(refute_0_152,plain,
( double_divide(X_75,multiply(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_75))) != X_74
| double_divide(X_75,multiply(inverse(X_74),inverse(X_75))) = X_74 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_74)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(X_75,multiply(inverse(X_74),inverse(X_75))) = X_74,
inference(resolve,[$cnf( $equal(double_divide(X_75,multiply(multiply(multiply(inverse(inverse(X_75)),inverse(X_75)),inverse(X_74)),inverse(X_75))),X_74) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))) = inverse(inverse(X_54)),
inference(subst,[],[refute_0_153:[bind(X_74,$fot(inverse(inverse(X_54)))),bind(X_75,$fot(inverse(X_54)))]]) ).
cnf(refute_0_155,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))
| double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))) != inverse(inverse(X_54))
| X_54 = inverse(inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_54,inverse(inverse(X_54))) ),[0],$fot(double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))]]) ).
cnf(refute_0_156,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))
| X_54 = inverse(inverse(X_54)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))),inverse(inverse(X_54))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
X_54 = inverse(inverse(X_54)),
inference(resolve,[$cnf( $equal(X_54,double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))) )],[refute_0_122,refute_0_156]) ).
cnf(refute_0_158,plain,
X_78 = inverse(inverse(X_78)),
inference(subst,[],[refute_0_157:[bind(X_54,$fot(X_78))]]) ).
cnf(refute_0_159,plain,
( X_78 != inverse(inverse(X_78))
| inverse(inverse(X_78)) = X_78 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_78)),bind(Y,$fot(inverse(inverse(X_78))))]]) ).
cnf(refute_0_160,plain,
inverse(inverse(X_78)) = X_78,
inference(resolve,[$cnf( $equal(X_78,inverse(inverse(X_78))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(inverse(inverse(X_78)),double_divide(X_4,inverse(inverse(X_78)))) != inverse(X_4)
| inverse(inverse(X_78)) != X_78
| multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_78)),double_divide(X_4,inverse(inverse(X_78)))),inverse(X_4)) ),[0,0],$fot(X_78)]]) ).
cnf(refute_0_162,plain,
( multiply(inverse(inverse(X_78)),double_divide(X_4,inverse(inverse(X_78)))) != inverse(X_4)
| multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_78)),double_divide(X_4,inverse(inverse(X_78)))),inverse(X_4)) )],[refute_0_121,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(X_4,inverse(inverse(X_78))) = double_divide(X_4,inverse(inverse(X_78))),
introduced(tautology,[refl,[$fot(double_divide(X_4,inverse(inverse(X_78))))]]) ).
cnf(refute_0_165,plain,
( double_divide(X_4,inverse(inverse(X_78))) != double_divide(X_4,inverse(inverse(X_78)))
| inverse(inverse(X_78)) != X_78
| double_divide(X_4,inverse(inverse(X_78))) = double_divide(X_4,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_78))),double_divide(X_4,inverse(inverse(X_78)))) ),[1,1],$fot(X_78)]]) ).
cnf(refute_0_166,plain,
( inverse(inverse(X_78)) != X_78
| double_divide(X_4,inverse(inverse(X_78))) = double_divide(X_4,X_78) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_78))),double_divide(X_4,inverse(inverse(X_78)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
double_divide(X_4,inverse(inverse(X_78))) = double_divide(X_4,X_78),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_160,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),
introduced(tautology,[refl,[$fot(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))))]]) ).
cnf(refute_0_169,plain,
( multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) != multiply(X_78,double_divide(X_4,inverse(inverse(X_78))))
| double_divide(X_4,inverse(inverse(X_78))) != double_divide(X_4,X_78)
| multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = multiply(X_78,double_divide(X_4,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),multiply(X_78,double_divide(X_4,inverse(inverse(X_78))))) ),[1,1],$fot(double_divide(X_4,X_78))]]) ).
cnf(refute_0_170,plain,
( double_divide(X_4,inverse(inverse(X_78))) != double_divide(X_4,X_78)
| multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = multiply(X_78,double_divide(X_4,X_78)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),multiply(X_78,double_divide(X_4,inverse(inverse(X_78))))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) = multiply(X_78,double_divide(X_4,X_78)),
inference(resolve,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_78))),double_divide(X_4,X_78)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) != multiply(X_78,double_divide(X_4,X_78))
| multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) != inverse(X_4)
| multiply(X_78,double_divide(X_4,X_78)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),inverse(X_4)) ),[0],$fot(multiply(X_78,double_divide(X_4,X_78)))]]) ).
cnf(refute_0_173,plain,
( multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))) != inverse(X_4)
| multiply(X_78,double_divide(X_4,X_78)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),multiply(X_78,double_divide(X_4,X_78))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(X_78,double_divide(X_4,X_78)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X_78,double_divide(X_4,inverse(inverse(X_78)))),inverse(X_4)) )],[refute_0_163,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(multiply(X_98,X_97),double_divide(inverse(X_98),multiply(X_98,X_97))) = inverse(inverse(X_98)),
inference(subst,[],[refute_0_174:[bind(X_4,$fot(inverse(X_98))),bind(X_78,$fot(multiply(X_98,X_97)))]]) ).
cnf(refute_0_176,plain,
double_divide(inverse(X_78),multiply(inverse(inverse(X_78)),inverse(C))) = C,
inference(subst,[],[refute_0_144:[bind(X_4,$fot(inverse(X_78)))]]) ).
cnf(refute_0_177,plain,
( double_divide(inverse(X_78),multiply(inverse(inverse(X_78)),inverse(C))) != C
| inverse(inverse(X_78)) != X_78
| double_divide(inverse(X_78),multiply(X_78,inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_78),multiply(inverse(inverse(X_78)),inverse(C))),C) ),[0,1,0],$fot(X_78)]]) ).
cnf(refute_0_178,plain,
( double_divide(inverse(X_78),multiply(inverse(inverse(X_78)),inverse(C))) != C
| double_divide(inverse(X_78),multiply(X_78,inverse(C))) = C ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_160,refute_0_177]) ).
cnf(refute_0_179,plain,
double_divide(inverse(X_78),multiply(X_78,inverse(C))) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_78),multiply(inverse(inverse(X_78)),inverse(C))),C) )],[refute_0_176,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(inverse(X_96),multiply(X_96,inverse(inverse(X_54)))) = inverse(X_54),
inference(subst,[],[refute_0_179:[bind(C,$fot(inverse(X_54))),bind(X_78,$fot(X_96))]]) ).
cnf(refute_0_181,plain,
( X_54 != inverse(inverse(X_54))
| inverse(inverse(X_54)) = X_54 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_54)),bind(Y,$fot(inverse(inverse(X_54))))]]) ).
cnf(refute_0_182,plain,
inverse(inverse(X_54)) = X_54,
inference(resolve,[$cnf( $equal(X_54,inverse(inverse(X_54))) )],[refute_0_157,refute_0_181]) ).
cnf(refute_0_183,plain,
( double_divide(inverse(X_96),multiply(X_96,inverse(inverse(X_54)))) != inverse(X_54)
| inverse(inverse(X_54)) != X_54
| double_divide(inverse(X_96),multiply(X_96,X_54)) = inverse(X_54) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_96),multiply(X_96,inverse(inverse(X_54)))),inverse(X_54)) ),[0,1,1],$fot(X_54)]]) ).
cnf(refute_0_184,plain,
( double_divide(inverse(X_96),multiply(X_96,inverse(inverse(X_54)))) != inverse(X_54)
| double_divide(inverse(X_96),multiply(X_96,X_54)) = inverse(X_54) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(inverse(X_96),multiply(X_96,X_54)) = inverse(X_54),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_96),multiply(X_96,inverse(inverse(X_54)))),inverse(X_54)) )],[refute_0_180,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(inverse(X_98),multiply(X_98,X_97)) = inverse(X_97),
inference(subst,[],[refute_0_185:[bind(X_54,$fot(X_97)),bind(X_96,$fot(X_98))]]) ).
cnf(refute_0_187,plain,
( multiply(multiply(X_98,X_97),double_divide(inverse(X_98),multiply(X_98,X_97))) != inverse(inverse(X_98))
| double_divide(inverse(X_98),multiply(X_98,X_97)) != inverse(X_97)
| multiply(multiply(X_98,X_97),inverse(X_97)) = inverse(inverse(X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_98,X_97),double_divide(inverse(X_98),multiply(X_98,X_97))),inverse(inverse(X_98))) ),[0,1],$fot(inverse(X_97))]]) ).
cnf(refute_0_188,plain,
( multiply(multiply(X_98,X_97),double_divide(inverse(X_98),multiply(X_98,X_97))) != inverse(inverse(X_98))
| multiply(multiply(X_98,X_97),inverse(X_97)) = inverse(inverse(X_98)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_98),multiply(X_98,X_97)),inverse(X_97)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(multiply(X_98,X_97),inverse(X_97)) = inverse(inverse(X_98)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_97),double_divide(inverse(X_98),multiply(X_98,X_97))),inverse(inverse(X_98))) )],[refute_0_175,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(inverse(X_98)) = X_98,
inference(subst,[],[refute_0_182:[bind(X_54,$fot(X_98))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(X_98,X_97),inverse(X_97)) != inverse(inverse(X_98))
| inverse(inverse(X_98)) != X_98
| multiply(multiply(X_98,X_97),inverse(X_97)) = X_98 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_98,X_97),inverse(X_97)),X_98) ),[0],$fot(inverse(inverse(X_98)))]]) ).
cnf(refute_0_192,plain,
( multiply(multiply(X_98,X_97),inverse(X_97)) != inverse(inverse(X_98))
| multiply(multiply(X_98,X_97),inverse(X_97)) = X_98 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_98)),X_98) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(multiply(X_98,X_97),inverse(X_97)) = X_98,
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_97),inverse(X_97)),inverse(inverse(X_98))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(multiply(X_100,double_divide(X_4,X_100)),inverse(double_divide(X_4,X_100))) = X_100,
inference(subst,[],[refute_0_193:[bind(X_97,$fot(double_divide(X_4,X_100))),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_195,plain,
multiply(X_100,double_divide(X_4,X_100)) = inverse(X_4),
inference(subst,[],[refute_0_174:[bind(X_78,$fot(X_100))]]) ).
cnf(refute_0_196,plain,
( multiply(X_100,double_divide(X_4,X_100)) != inverse(X_4)
| multiply(multiply(X_100,double_divide(X_4,X_100)),inverse(double_divide(X_4,X_100))) != X_100
| multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = X_100 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_100,double_divide(X_4,X_100)),inverse(double_divide(X_4,X_100))),X_100) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_197,plain,
( multiply(multiply(X_100,double_divide(X_4,X_100)),inverse(double_divide(X_4,X_100))) != X_100
| multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = X_100 ),
inference(resolve,[$cnf( $equal(multiply(X_100,double_divide(X_4,X_100)),inverse(X_4)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = X_100,
inference(resolve,[$cnf( $equal(multiply(multiply(X_100,double_divide(X_4,X_100)),inverse(double_divide(X_4,X_100))),X_100) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(double_divide(X_4,X_100)) = multiply(X_100,X_4),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_100)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_200,plain,
multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) != multiply(inverse(X_4),inverse(double_divide(X_4,X_100)))
| inverse(double_divide(X_4,X_100)) != multiply(X_100,X_4)
| multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = multiply(inverse(X_4),multiply(X_100,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),multiply(inverse(X_4),inverse(double_divide(X_4,X_100)))) ),[1,1],$fot(multiply(X_100,X_4))]]) ).
cnf(refute_0_202,plain,
( inverse(double_divide(X_4,X_100)) != multiply(X_100,X_4)
| multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = multiply(inverse(X_4),multiply(X_100,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),multiply(inverse(X_4),inverse(double_divide(X_4,X_100)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) = multiply(inverse(X_4),multiply(X_100,X_4)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,X_100)),multiply(X_100,X_4)) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) != X_100
| multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) != multiply(inverse(X_4),multiply(X_100,X_4))
| multiply(inverse(X_4),multiply(X_100,X_4)) = X_100 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),X_100) ),[0],$fot(multiply(inverse(X_4),multiply(X_100,X_4)))]]) ).
cnf(refute_0_205,plain,
( multiply(inverse(X_4),inverse(double_divide(X_4,X_100))) != X_100
| multiply(inverse(X_4),multiply(X_100,X_4)) = X_100 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),multiply(inverse(X_4),multiply(X_100,X_4))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(inverse(X_4),multiply(X_100,X_4)) = X_100,
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_100))),X_100) )],[refute_0_198,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(inverse(inverse(X_97)),multiply(multiply(X_98,X_97),inverse(X_97))) = multiply(X_98,X_97),
inference(subst,[],[refute_0_206:[bind(X_100,$fot(multiply(X_98,X_97))),bind(X_4,$fot(inverse(X_97)))]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(X_98,X_97),inverse(X_97)) != X_98
| multiply(inverse(inverse(X_97)),multiply(multiply(X_98,X_97),inverse(X_97))) != multiply(X_98,X_97)
| multiply(inverse(inverse(X_97)),X_98) = multiply(X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_97)),multiply(multiply(X_98,X_97),inverse(X_97))),multiply(X_98,X_97)) ),[0,1],$fot(X_98)]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(inverse(X_97)),multiply(multiply(X_98,X_97),inverse(X_97))) != multiply(X_98,X_97)
| multiply(inverse(inverse(X_97)),X_98) = multiply(X_98,X_97) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_97),inverse(X_97)),X_98) )],[refute_0_193,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(inverse(inverse(X_97)),X_98) = multiply(X_98,X_97),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_97)),multiply(multiply(X_98,X_97),inverse(X_97))),multiply(X_98,X_97)) )],[refute_0_207,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(inverse(X_97)) = X_97,
inference(subst,[],[refute_0_182:[bind(X_54,$fot(X_97))]]) ).
cnf(refute_0_212,plain,
multiply(inverse(inverse(X_97)),X_98) = multiply(inverse(inverse(X_97)),X_98),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_97)),X_98))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(inverse(X_97)),X_98) != multiply(inverse(inverse(X_97)),X_98)
| inverse(inverse(X_97)) != X_97
| multiply(inverse(inverse(X_97)),X_98) = multiply(X_97,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_97)),X_98),multiply(inverse(inverse(X_97)),X_98)) ),[1,0],$fot(X_97)]]) ).
cnf(refute_0_214,plain,
( inverse(inverse(X_97)) != X_97
| multiply(inverse(inverse(X_97)),X_98) = multiply(X_97,X_98) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_97)),X_98),multiply(inverse(inverse(X_97)),X_98)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(inverse(inverse(X_97)),X_98) = multiply(X_97,X_98),
inference(resolve,[$cnf( $equal(inverse(inverse(X_97)),X_97) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(inverse(inverse(X_97)),X_98) != multiply(X_97,X_98)
| multiply(inverse(inverse(X_97)),X_98) != multiply(X_98,X_97)
| multiply(X_97,X_98) = multiply(X_98,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_97)),X_98),multiply(X_98,X_97)) ),[0],$fot(multiply(X_97,X_98))]]) ).
cnf(refute_0_217,plain,
( multiply(inverse(inverse(X_97)),X_98) != multiply(X_98,X_97)
| multiply(X_97,X_98) = multiply(X_98,X_97) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_97)),X_98),multiply(X_97,X_98)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(X_97,X_98) = multiply(X_98,X_97),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_97)),X_98),multiply(X_98,X_97)) )],[refute_0_210,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(X_97,X_98) != multiply(X_98,X_97)
| multiply(X_98,X_97) = multiply(X_97,X_98) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_97,X_98))),bind(Y,$fot(multiply(X_98,X_97)))]]) ).
cnf(refute_0_220,plain,
multiply(X_98,X_97) = multiply(X_97,X_98),
inference(resolve,[$cnf( $equal(multiply(X_97,X_98),multiply(X_98,X_97)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_220:[bind(X_97,$fot(a)),bind(X_98,$fot(b))]]) ).
cnf(refute_0_222,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_223,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_223,prove_these_axioms_4]) ).
cnf(refute_0_225,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_226,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_225,refute_0_224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 10:42:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56
% 0.20/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.44/0.60
%------------------------------------------------------------------------------