TSTP Solution File: GRP616-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 10:44:10 EDT 2022
% Result : Unsatisfiable 1.04s 1.20s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 82
% Syntax : Number of clauses : 272 ( 145 unt; 0 nHn; 122 RR)
% Number of literals : 461 ( 460 equ; 191 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 : 693 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(A,inverse(B))) = multiply(inverse(B),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(B))),bind(B,$fot(A))]]) ).
cnf(refute_0_6,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,inverse(double_divide(A,inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_7,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) ),[1,1],$fot(multiply(inverse(B),A))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(A,inverse(B))) != multiply(inverse(B),A)
| multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(C,inverse(double_divide(A,inverse(B)))) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(B))),multiply(inverse(B),A)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,inverse(double_divide(A,inverse(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(C)),bind(B,$fot(inverse(double_divide(A,inverse(B)))))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,inverse(double_divide(A,inverse(B))))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)))),bind(Y,$fot(multiply(C,inverse(double_divide(A,inverse(B)))))),bind(Z,$fot(multiply(C,multiply(inverse(B),A))))]]) ).
cnf(refute_0_14,plain,
( multiply(C,inverse(double_divide(A,inverse(B)))) != multiply(C,multiply(inverse(B),A))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,inverse(double_divide(A,inverse(B))))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) = multiply(C,multiply(inverse(B),A)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(A,inverse(B)))),multiply(C,multiply(inverse(B),A))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)))]]) ).
cnf(refute_0_17,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))
| inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) ),[1,0],$fot(multiply(C,multiply(inverse(B),A)))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(inverse(double_divide(A,inverse(B))),C)) != multiply(C,multiply(inverse(B),A))
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),multiply(C,multiply(inverse(B),A))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) ),[0],$fot(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)))]]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) != B
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)),B) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(X_6),X_5))),bind(C,$fot(double_divide(X_5,inverse(B))))]]) ).
cnf(refute_0_24,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(X_2,X_4))),bind(B,$fot(multiply(X_4,multiply(inverse(X_3),X_2))))]]) ).
cnf(refute_0_25,plain,
double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) = X_3,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_26,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_27,plain,
( multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) != inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))
| multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_2,X_4),multiply(X_4,multiply(inverse(X_3),X_2))),inverse(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) = inverse(X_6),
inference(subst,[],[refute_0_28:[bind(X_2,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(inverse(B)))]]) ).
cnf(refute_0_30,plain,
( multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))) != inverse(X_6)
| double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_31,plain,
( double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),inverse(X_6)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_5,inverse(B)),multiply(inverse(B),multiply(inverse(X_6),X_5))),double_divide(multiply(inverse(X_6),X_5),double_divide(X_5,inverse(B)))),B) )],[refute_0_23,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),double_divide(multiply(X_165,inverse(X_165)),inverse(B)))) = B,
inference(subst,[],[refute_0_32:[bind(X_5,$fot(multiply(X_165,inverse(X_165))))]]) ).
cnf(refute_0_34,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(X_4,multiply(inverse(X_3),X_2)))),bind(C,$fot(double_divide(X_2,X_4)))]]) ).
cnf(refute_0_35,plain,
( double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)) != X_3
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) ),[0,1],$fot(X_3)]]) ).
cnf(refute_0_36,plain,
( double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))) != B
| double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4)),X_3) )],[refute_0_25,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_2,X_4),multiply(inverse(B),multiply(X_4,multiply(inverse(X_3),X_2)))),double_divide(multiply(X_4,multiply(inverse(X_3),X_2)),double_divide(X_2,X_4))),B) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18)))))),X_3) = B,
inference(subst,[],[refute_0_37:[bind(X_2,$fot(multiply(X_20,multiply(inverse(inverse(B)),X_18)))),bind(X_4,$fot(double_divide(X_18,X_20)))]]) ).
cnf(refute_0_39,plain,
multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(subst,[],[refute_0_28:[bind(X_2,$fot(multiply(C,multiply(inverse(B),A)))),bind(X_3,$fot(X_6)),bind(X_4,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_40,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)) != B
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_41,plain,
( multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) != inverse(X_6)
| multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),B) )],[refute_0_22,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(B,multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(C,multiply(inverse(B),A)),double_divide(A,C)),multiply(double_divide(A,C),multiply(inverse(X_6),multiply(C,multiply(inverse(B),A))))),inverse(X_6)) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18))))) = inverse(X_3),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_18)),bind(B,$fot(inverse(B))),bind(C,$fot(X_20)),bind(X_6,$fot(X_3))]]) ).
cnf(refute_0_44,plain,
( multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18))))) != inverse(X_3)
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18)))))),X_3),B) ),[0,0,1],$fot(inverse(X_3))]]) ).
cnf(refute_0_45,plain,
( double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18)))))),X_3) != B
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18))))),inverse(X_3)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),multiply(inverse(B),multiply(double_divide(X_18,X_20),multiply(inverse(X_3),multiply(X_20,multiply(inverse(inverse(B)),X_18)))))),X_3),B) )],[refute_0_38,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)) = inverse(B),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_18)),bind(B,$fot(inverse(B))),bind(C,$fot(X_20))]]) ).
cnf(refute_0_48,plain,
multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) = multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)))]]) ).
cnf(refute_0_49,plain,
( multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) != multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3))
| double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)) != inverse(B)
| multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3))) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_50,plain,
( double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)) != inverse(B)
| multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) = multiply(inverse(B),inverse(X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(B)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3))]]) ).
cnf(refute_0_53,plain,
( multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) != double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3)
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3)) ),[1,0],$fot(multiply(inverse(B),inverse(X_3)))]]) ).
cnf(refute_0_54,plain,
( multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)) != multiply(inverse(B),inverse(X_3))
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) = double_divide(multiply(inverse(B),inverse(X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),multiply(inverse(B),inverse(X_3))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) != B
| double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) != double_divide(multiply(inverse(B),inverse(X_3)),X_3)
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),B) ),[0],$fot(double_divide(multiply(inverse(B),inverse(X_3)),X_3))]]) ).
cnf(refute_0_57,plain,
( double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3) != B
| double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),double_divide(multiply(inverse(B),inverse(X_3)),X_3)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(multiply(inverse(B),inverse(X_3)),X_3) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(B)),X_18)),double_divide(X_18,X_20)),inverse(X_3)),X_3),B) )],[refute_0_46,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(multiply(inverse(X_22),inverse(double_divide(B,A))),double_divide(B,A)) = X_22,
inference(subst,[],[refute_0_58:[bind(B,$fot(X_22)),bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_60,plain,
( double_divide(multiply(inverse(X_22),inverse(double_divide(B,A))),double_divide(B,A)) != X_22
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_22),multiply(A,B)),double_divide(B,A)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_22),inverse(double_divide(B,A))),double_divide(B,A)),X_22) ),[0,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_61,plain,
( double_divide(multiply(inverse(X_22),inverse(double_divide(B,A))),double_divide(B,A)) != X_22
| double_divide(multiply(inverse(X_22),multiply(A,B)),double_divide(B,A)) = X_22 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_60]) ).
cnf(refute_0_62,plain,
double_divide(multiply(inverse(X_22),multiply(A,B)),double_divide(B,A)) = X_22,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_22),inverse(double_divide(B,A))),double_divide(B,A)),X_22) )],[refute_0_59,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)) = X_22,
inference(subst,[],[refute_0_62:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_64,plain,
double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(inverse(C)))]]) ).
cnf(refute_0_65,plain,
multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))))) = inverse(X_6),
inference(subst,[],[refute_0_42:[bind(A,$fot(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)))),bind(C,$fot(double_divide(X_18,X_20)))]]) ).
cnf(refute_0_66,plain,
multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))) = inverse(B),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_18)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_20)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_67,plain,
( multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))))) != inverse(X_6)
| multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))) != inverse(B)
| multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))))),inverse(X_6)) ),[0,1,1],$fot(inverse(B))]]) ).
cnf(refute_0_68,plain,
( multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))))) != inverse(X_6)
| multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))),inverse(B)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),multiply(inverse(X_6),multiply(double_divide(X_18,X_20),multiply(inverse(B),multiply(X_20,multiply(inverse(inverse(X_6)),X_18))))))),inverse(X_6)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)) = inverse(X_6),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_18)),bind(B,$fot(inverse(X_6))),bind(C,$fot(X_20))]]) ).
cnf(refute_0_71,plain,
multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) = multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)))]]) ).
cnf(refute_0_72,plain,
( multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) != multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))
| double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)) != inverse(X_6)
| multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)),multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_73,plain,
( double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)) != inverse(X_6)
| multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) = multiply(inverse(X_6),inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)),multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) = multiply(inverse(X_6),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(X_6)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),
introduced(tautology,[refl,[$fot(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))))]]) ).
cnf(refute_0_76,plain,
( multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) != multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)))
| multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_6),inverse(B)))]]) ).
cnf(refute_0_77,plain,
( multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)) != multiply(inverse(X_6),inverse(B))
| multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) = multiply(B,multiply(inverse(X_6),inverse(B))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B)),multiply(inverse(X_6),inverse(B))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) != multiply(B,multiply(inverse(X_6),inverse(B)))
| multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),inverse(X_6)) ),[0],$fot(multiply(B,multiply(inverse(X_6),inverse(B))))]]) ).
cnf(refute_0_80,plain,
( multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))) != inverse(X_6)
| multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),multiply(B,multiply(inverse(X_6),inverse(B)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(B,multiply(inverse(X_6),inverse(B))) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(B,multiply(double_divide(multiply(X_20,multiply(inverse(inverse(X_6)),X_18)),double_divide(X_18,X_20)),inverse(B))),inverse(X_6)) )],[refute_0_69,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(C,multiply(inverse(B),inverse(C))) = inverse(B),
inference(subst,[],[refute_0_81:[bind(B,$fot(C)),bind(X_6,$fot(B))]]) ).
cnf(refute_0_83,plain,
( multiply(C,multiply(inverse(B),inverse(C))) != inverse(B)
| double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) ),[0,0],$fot(inverse(B))]]) ).
cnf(refute_0_84,plain,
( double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)) != B
| double_divide(inverse(B),double_divide(inverse(C),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(B),inverse(C))),inverse(B)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(inverse(B),double_divide(inverse(C),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),inverse(C))),double_divide(inverse(C),C)),B) )],[refute_0_64,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(inverse(double_divide(B,A)),double_divide(inverse(X_35),X_35)) = double_divide(B,A),
inference(subst,[],[refute_0_85:[bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_35))]]) ).
cnf(refute_0_87,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(X_35),X_35)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),double_divide(inverse(X_35),X_35)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(X_35),X_35)),double_divide(B,A)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_88,plain,
( double_divide(inverse(double_divide(B,A)),double_divide(inverse(X_35),X_35)) != double_divide(B,A)
| double_divide(multiply(A,B),double_divide(inverse(X_35),X_35)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(multiply(A,B),double_divide(inverse(X_35),X_35)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),double_divide(inverse(X_35),X_35)),double_divide(B,A)) )],[refute_0_86,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)) = double_divide(multiply(A,inverse(A)),inverse(X_22)),
inference(subst,[],[refute_0_89:[bind(A,$fot(inverse(X_22))),bind(B,$fot(multiply(A,inverse(A)))),bind(X_35,$fot(A))]]) ).
cnf(refute_0_91,plain,
( double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)) != X_22
| double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)) != double_divide(multiply(A,inverse(A)),inverse(X_22))
| double_divide(multiply(A,inverse(A)),inverse(X_22)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)),X_22) ),[0],$fot(double_divide(multiply(A,inverse(A)),inverse(X_22)))]]) ).
cnf(refute_0_92,plain,
( double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)) != X_22
| double_divide(multiply(A,inverse(A)),inverse(X_22)) = X_22 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)),double_divide(multiply(A,inverse(A)),inverse(X_22))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(multiply(A,inverse(A)),inverse(X_22)) = X_22,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_22),multiply(A,inverse(A))),double_divide(inverse(A),A)),X_22) )],[refute_0_63,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(multiply(X_165,inverse(X_165)),inverse(B)) = B,
inference(subst,[],[refute_0_93:[bind(A,$fot(X_165)),bind(X_22,$fot(B))]]) ).
cnf(refute_0_95,plain,
( double_divide(multiply(X_165,inverse(X_165)),inverse(B)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),double_divide(multiply(X_165,inverse(X_165)),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),double_divide(multiply(X_165,inverse(X_165)),inverse(B)))),B) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_96,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),double_divide(multiply(X_165,inverse(X_165)),inverse(B)))) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_165,inverse(X_165)),inverse(B)),B) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),double_divide(multiply(X_165,inverse(X_165)),inverse(B)))),B) )],[refute_0_33,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(inverse(X_166),multiply(X_165,inverse(X_165))) = inverse(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_166))),bind(B,$fot(multiply(X_165,inverse(X_165))))]]) ).
cnf(refute_0_99,plain,
double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)) = X_166,
inference(subst,[],[refute_0_93:[bind(A,$fot(X_165)),bind(X_22,$fot(X_166))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(X_166),multiply(X_165,inverse(X_165))) != inverse(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)))
| double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)) != X_166
| multiply(inverse(X_166),multiply(X_165,inverse(X_165))) = inverse(X_166) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_166),multiply(X_165,inverse(X_165))),inverse(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)))) ),[1,0],$fot(X_166)]]) ).
cnf(refute_0_101,plain,
( multiply(inverse(X_166),multiply(X_165,inverse(X_165))) != inverse(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)))
| multiply(inverse(X_166),multiply(X_165,inverse(X_165))) = inverse(X_166) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)),X_166) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(inverse(X_166),multiply(X_165,inverse(X_165))) = inverse(X_166),
inference(resolve,[$cnf( $equal(multiply(inverse(X_166),multiply(X_165,inverse(X_165))),inverse(double_divide(multiply(X_165,inverse(X_165)),inverse(X_166)))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(inverse(X_6),multiply(X_165,inverse(X_165))) = inverse(X_6),
inference(subst,[],[refute_0_102:[bind(X_166,$fot(X_6))]]) ).
cnf(refute_0_104,plain,
double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) = double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B))]]) ).
cnf(refute_0_105,plain,
( multiply(inverse(X_6),multiply(X_165,inverse(X_165))) != inverse(X_6)
| double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) != double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)
| double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) = double_divide(inverse(X_6),B) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) ),[1,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_106,plain,
( multiply(inverse(X_6),multiply(X_165,inverse(X_165))) != inverse(X_6)
| double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) = double_divide(inverse(X_6),B) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) = double_divide(inverse(X_6),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),inverse(X_6)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)))]]) ).
cnf(refute_0_109,plain,
( double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) != double_divide(inverse(X_6),B)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) != double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B))
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = double_divide(inverse(X_6),double_divide(inverse(X_6),B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B))) ),[1,1],$fot(double_divide(inverse(X_6),B))]]) ).
cnf(refute_0_110,plain,
( double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B) != double_divide(inverse(X_6),B)
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = double_divide(inverse(X_6),double_divide(inverse(X_6),B)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) = double_divide(inverse(X_6),double_divide(inverse(X_6),B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B),double_divide(inverse(X_6),B)) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) != B
| double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) != double_divide(inverse(X_6),double_divide(inverse(X_6),B))
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),B) ),[0],$fot(double_divide(inverse(X_6),double_divide(inverse(X_6),B)))]]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)) != B
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),double_divide(inverse(X_6),double_divide(inverse(X_6),B))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(multiply(inverse(X_6),multiply(X_165,inverse(X_165))),B)),B) )],[refute_0_97,refute_0_113]) ).
cnf(refute_0_115,plain,
inverse(double_divide(inverse(X_6),B)) = multiply(B,inverse(X_6)),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(inverse(X_6)))]]) ).
cnf(refute_0_116,plain,
multiply(inverse(double_divide(inverse(X_6),B)),X_6) = multiply(inverse(double_divide(inverse(X_6),B)),X_6),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(X_6),B)),X_6))]]) ).
cnf(refute_0_117,plain,
( multiply(inverse(double_divide(inverse(X_6),B)),X_6) != multiply(inverse(double_divide(inverse(X_6),B)),X_6)
| inverse(double_divide(inverse(X_6),B)) != multiply(B,inverse(X_6))
| multiply(inverse(double_divide(inverse(X_6),B)),X_6) = multiply(multiply(B,inverse(X_6)),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(inverse(X_6),B)),X_6),multiply(inverse(double_divide(inverse(X_6),B)),X_6)) ),[1,0],$fot(multiply(B,inverse(X_6)))]]) ).
cnf(refute_0_118,plain,
( inverse(double_divide(inverse(X_6),B)) != multiply(B,inverse(X_6))
| multiply(inverse(double_divide(inverse(X_6),B)),X_6) = multiply(multiply(B,inverse(X_6)),X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(X_6),B)),X_6),multiply(inverse(double_divide(inverse(X_6),B)),X_6)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(double_divide(inverse(X_6),B)),X_6) = multiply(multiply(B,inverse(X_6)),X_6),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_6),B)),multiply(B,inverse(X_6))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = inverse(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42)))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(inverse(inverse(X_41)),inverse(X_42)))),bind(B,$fot(inverse(X_42)))]]) ).
cnf(refute_0_121,plain,
double_divide(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),double_divide(inverse(inverse(X_40)),inverse(X_6))) = X_40,
inference(subst,[],[refute_0_62:[bind(A,$fot(inverse(X_6))),bind(B,$fot(inverse(inverse(X_40)))),bind(X_22,$fot(X_40))]]) ).
cnf(refute_0_122,plain,
multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))) = inverse(X_6),
inference(subst,[],[refute_0_81:[bind(B,$fot(inverse(X_40)))]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))) != inverse(X_6)
| double_divide(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),double_divide(inverse(inverse(X_40)),inverse(X_6))) != X_40
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_40)),inverse(X_6))) = X_40 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),double_divide(inverse(inverse(X_40)),inverse(X_6))),X_40) ),[0,0],$fot(inverse(X_6))]]) ).
cnf(refute_0_124,plain,
( double_divide(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),double_divide(inverse(inverse(X_40)),inverse(X_6))) != X_40
| double_divide(inverse(X_6),double_divide(inverse(inverse(X_40)),inverse(X_6))) = X_40 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),inverse(X_6)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(inverse(X_6),double_divide(inverse(inverse(X_40)),inverse(X_6))) = X_40,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_40),multiply(inverse(X_6),inverse(inverse(X_40)))),double_divide(inverse(inverse(X_40)),inverse(X_6))),X_40) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))) = X_41,
inference(subst,[],[refute_0_125:[bind(X_40,$fot(X_41)),bind(X_6,$fot(X_42))]]) ).
cnf(refute_0_127,plain,
( multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != inverse(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))))
| double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))) != X_41
| multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = inverse(X_41) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),inverse(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_128,plain,
( multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != inverse(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))))
| multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = inverse(X_41) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))),X_41) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = inverse(X_41),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),inverse(double_divide(inverse(X_42),double_divide(inverse(inverse(X_41)),inverse(X_42))))) )],[refute_0_120,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),double_divide(inverse(X_168),inverse(inverse(X_22)))) = X_22,
inference(subst,[],[refute_0_62:[bind(A,$fot(inverse(inverse(X_22)))),bind(B,$fot(inverse(X_168)))]]) ).
cnf(refute_0_131,plain,
multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) = inverse(X_3),
inference(subst,[],[refute_0_28:[bind(X_2,$fot(multiply(inverse(X_33),inverse(inverse(X_3)))))]]) ).
cnf(refute_0_132,plain,
multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))) = inverse(X_33),
inference(subst,[],[refute_0_81:[bind(B,$fot(inverse(X_3))),bind(X_6,$fot(X_33))]]) ).
cnf(refute_0_133,plain,
( multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) != inverse(X_3)
| multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))) != inverse(X_33)
| multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))),inverse(X_3)) ),[0,1,1],$fot(inverse(X_33))]]) ).
cnf(refute_0_134,plain,
( multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))) != inverse(X_3)
| multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))),inverse(X_33)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,inverse(X_33))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_33),inverse(inverse(X_3))),X_4),multiply(X_4,multiply(inverse(X_3),multiply(inverse(X_33),inverse(inverse(X_3)))))),inverse(X_3)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),multiply(inverse(X_166),inverse(X_3))) = inverse(X_3),
inference(subst,[],[refute_0_135:[bind(X_33,$fot(X_3)),bind(X_4,$fot(inverse(X_166)))]]) ).
cnf(refute_0_137,plain,
double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)) = X_166,
inference(subst,[],[refute_0_93:[bind(A,$fot(inverse(X_3))),bind(X_22,$fot(X_166))]]) ).
cnf(refute_0_138,plain,
( multiply(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),multiply(inverse(X_166),inverse(X_3))) != inverse(X_3)
| double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)) != X_166
| multiply(X_166,multiply(inverse(X_166),inverse(X_3))) = inverse(X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),multiply(inverse(X_166),inverse(X_3))),inverse(X_3)) ),[0,0],$fot(X_166)]]) ).
cnf(refute_0_139,plain,
( multiply(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),multiply(inverse(X_166),inverse(X_3))) != inverse(X_3)
| multiply(X_166,multiply(inverse(X_166),inverse(X_3))) = inverse(X_3) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),X_166) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(X_166,multiply(inverse(X_166),inverse(X_3))) = inverse(X_3),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(inverse(X_3),inverse(inverse(X_3))),inverse(X_166)),multiply(inverse(X_166),inverse(X_3))),inverse(X_3)) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))) = inverse(X_168),
inference(subst,[],[refute_0_140:[bind(X_166,$fot(inverse(X_22))),bind(X_3,$fot(X_168))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))) != inverse(X_168)
| double_divide(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),double_divide(inverse(X_168),inverse(inverse(X_22)))) != X_22
| double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),double_divide(inverse(X_168),inverse(inverse(X_22)))),X_22) ),[0,0],$fot(inverse(X_168))]]) ).
cnf(refute_0_143,plain,
( double_divide(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),double_divide(inverse(X_168),inverse(inverse(X_22)))) != X_22
| double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) = X_22 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),inverse(X_168)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) = X_22,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),inverse(X_168))),double_divide(inverse(X_168),inverse(inverse(X_22)))),X_22) )],[refute_0_130,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) = inverse(inverse(X_22)),
inference(subst,[],[refute_0_114:[bind(B,$fot(inverse(inverse(X_22)))),bind(X_6,$fot(X_168))]]) ).
cnf(refute_0_146,plain,
( double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) != X_22
| double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) != inverse(inverse(X_22))
| inverse(inverse(X_22)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))),X_22) ),[0],$fot(inverse(inverse(X_22)))]]) ).
cnf(refute_0_147,plain,
( double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))) != X_22
| inverse(inverse(X_22)) = X_22 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))),inverse(inverse(X_22))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(inverse(X_22)) = X_22,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_168),double_divide(inverse(X_168),inverse(inverse(X_22)))),X_22) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(inverse(X_41)) = X_41,
inference(subst,[],[refute_0_148:[bind(X_22,$fot(X_41))]]) ).
cnf(refute_0_150,plain,
double_divide(inverse(inverse(X_41)),inverse(X_42)) = double_divide(inverse(inverse(X_41)),inverse(X_42)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_41)),inverse(X_42)))]]) ).
cnf(refute_0_151,plain,
( double_divide(inverse(inverse(X_41)),inverse(X_42)) != double_divide(inverse(inverse(X_41)),inverse(X_42))
| inverse(inverse(X_41)) != X_41
| double_divide(inverse(inverse(X_41)),inverse(X_42)) = double_divide(X_41,inverse(X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_41)),inverse(X_42)),double_divide(inverse(inverse(X_41)),inverse(X_42))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_152,plain,
( inverse(inverse(X_41)) != X_41
| double_divide(inverse(inverse(X_41)),inverse(X_42)) = double_divide(X_41,inverse(X_42)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_41)),inverse(X_42)),double_divide(inverse(inverse(X_41)),inverse(X_42))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(inverse(inverse(X_41)),inverse(X_42)) = double_divide(X_41,inverse(X_42)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)))]]) ).
cnf(refute_0_155,plain,
( multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42))
| double_divide(inverse(inverse(X_41)),inverse(X_42)) != double_divide(X_41,inverse(X_42))
| multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42))) ),[1,0],$fot(double_divide(X_41,inverse(X_42)))]]) ).
cnf(refute_0_156,plain,
( double_divide(inverse(inverse(X_41)),inverse(X_42)) != double_divide(X_41,inverse(X_42))
| multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) = multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_41)),inverse(X_42)),double_divide(X_41,inverse(X_42))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != multiply(double_divide(X_41,inverse(X_42)),inverse(X_42))
| multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != inverse(X_41)
| multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)) = inverse(X_41) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),inverse(X_41)) ),[0],$fot(multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)))]]) ).
cnf(refute_0_159,plain,
( multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)) != inverse(X_41)
| multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)) = inverse(X_41) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),multiply(double_divide(X_41,inverse(X_42)),inverse(X_42))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(double_divide(X_41,inverse(X_42)),inverse(X_42)) = inverse(X_41),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_41)),inverse(X_42)),inverse(X_42)),inverse(X_41)) )],[refute_0_129,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(double_divide(X_170,inverse(inverse(X_22))),inverse(inverse(X_22))) = inverse(X_170),
inference(subst,[],[refute_0_160:[bind(X_41,$fot(X_170)),bind(X_42,$fot(inverse(X_22)))]]) ).
cnf(refute_0_162,plain,
( multiply(double_divide(X_170,inverse(inverse(X_22))),inverse(inverse(X_22))) != inverse(X_170)
| inverse(inverse(X_22)) != X_22
| multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = inverse(X_170) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),inverse(inverse(X_22))),inverse(X_170)) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_163,plain,
( multiply(double_divide(X_170,inverse(inverse(X_22))),inverse(inverse(X_22))) != inverse(X_170)
| multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = inverse(X_170) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_148,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = inverse(X_170),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),inverse(inverse(X_22))),inverse(X_170)) )],[refute_0_161,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(X_170,inverse(inverse(X_22))) = double_divide(X_170,inverse(inverse(X_22))),
introduced(tautology,[refl,[$fot(double_divide(X_170,inverse(inverse(X_22))))]]) ).
cnf(refute_0_166,plain,
( double_divide(X_170,inverse(inverse(X_22))) != double_divide(X_170,inverse(inverse(X_22)))
| inverse(inverse(X_22)) != X_22
| double_divide(X_170,inverse(inverse(X_22))) = double_divide(X_170,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_170,inverse(inverse(X_22))),double_divide(X_170,inverse(inverse(X_22)))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_167,plain,
( inverse(inverse(X_22)) != X_22
| double_divide(X_170,inverse(inverse(X_22))) = double_divide(X_170,X_22) ),
inference(resolve,[$cnf( $equal(double_divide(X_170,inverse(inverse(X_22))),double_divide(X_170,inverse(inverse(X_22)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(X_170,inverse(inverse(X_22))) = double_divide(X_170,X_22),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_148,refute_0_167]) ).
cnf(refute_0_169,plain,
multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22))]]) ).
cnf(refute_0_170,plain,
( multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) != multiply(double_divide(X_170,inverse(inverse(X_22))),X_22)
| double_divide(X_170,inverse(inverse(X_22))) != double_divide(X_170,X_22)
| multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = multiply(double_divide(X_170,X_22),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),multiply(double_divide(X_170,inverse(inverse(X_22))),X_22)) ),[1,0],$fot(double_divide(X_170,X_22))]]) ).
cnf(refute_0_171,plain,
( double_divide(X_170,inverse(inverse(X_22))) != double_divide(X_170,X_22)
| multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = multiply(double_divide(X_170,X_22),X_22) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),multiply(double_divide(X_170,inverse(inverse(X_22))),X_22)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) = multiply(double_divide(X_170,X_22),X_22),
inference(resolve,[$cnf( $equal(double_divide(X_170,inverse(inverse(X_22))),double_divide(X_170,X_22)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) != multiply(double_divide(X_170,X_22),X_22)
| multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) != inverse(X_170)
| multiply(double_divide(X_170,X_22),X_22) = inverse(X_170) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),inverse(X_170)) ),[0],$fot(multiply(double_divide(X_170,X_22),X_22))]]) ).
cnf(refute_0_174,plain,
( multiply(double_divide(X_170,inverse(inverse(X_22))),X_22) != inverse(X_170)
| multiply(double_divide(X_170,X_22),X_22) = inverse(X_170) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),multiply(double_divide(X_170,X_22),X_22)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(double_divide(X_170,X_22),X_22) = inverse(X_170),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_170,inverse(inverse(X_22))),X_22),inverse(X_170)) )],[refute_0_164,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(double_divide(multiply(X_182,inverse(X_22)),X_22),X_22) = inverse(multiply(X_182,inverse(X_22))),
inference(subst,[],[refute_0_175:[bind(X_170,$fot(multiply(X_182,inverse(X_22))))]]) ).
cnf(refute_0_177,plain,
double_divide(multiply(inverse(inverse(X_169)),inverse(X_3)),X_3) = inverse(X_169),
inference(subst,[],[refute_0_58:[bind(B,$fot(inverse(X_169)))]]) ).
cnf(refute_0_178,plain,
inverse(inverse(X_169)) = X_169,
inference(subst,[],[refute_0_148:[bind(X_22,$fot(X_169))]]) ).
cnf(refute_0_179,plain,
( double_divide(multiply(inverse(inverse(X_169)),inverse(X_3)),X_3) != inverse(X_169)
| inverse(inverse(X_169)) != X_169
| double_divide(multiply(X_169,inverse(X_3)),X_3) = inverse(X_169) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_169)),inverse(X_3)),X_3),inverse(X_169)) ),[0,0,0],$fot(X_169)]]) ).
cnf(refute_0_180,plain,
( double_divide(multiply(inverse(inverse(X_169)),inverse(X_3)),X_3) != inverse(X_169)
| double_divide(multiply(X_169,inverse(X_3)),X_3) = inverse(X_169) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_169)),X_169) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(multiply(X_169,inverse(X_3)),X_3) = inverse(X_169),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_169)),inverse(X_3)),X_3),inverse(X_169)) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
double_divide(multiply(X_182,inverse(X_22)),X_22) = inverse(X_182),
inference(subst,[],[refute_0_181:[bind(X_169,$fot(X_182)),bind(X_3,$fot(X_22))]]) ).
cnf(refute_0_183,plain,
( multiply(double_divide(multiply(X_182,inverse(X_22)),X_22),X_22) != inverse(multiply(X_182,inverse(X_22)))
| double_divide(multiply(X_182,inverse(X_22)),X_22) != inverse(X_182)
| multiply(inverse(X_182),X_22) = inverse(multiply(X_182,inverse(X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_182,inverse(X_22)),X_22),X_22),inverse(multiply(X_182,inverse(X_22)))) ),[0,0],$fot(inverse(X_182))]]) ).
cnf(refute_0_184,plain,
( multiply(double_divide(multiply(X_182,inverse(X_22)),X_22),X_22) != inverse(multiply(X_182,inverse(X_22)))
| multiply(inverse(X_182),X_22) = inverse(multiply(X_182,inverse(X_22))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_182,inverse(X_22)),X_22),inverse(X_182)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(X_182),X_22) = inverse(multiply(X_182,inverse(X_22))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_182,inverse(X_22)),X_22),X_22),inverse(multiply(X_182,inverse(X_22)))) )],[refute_0_176,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_187,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) ),[0,0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_188,plain,
( double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(multiply(X_4,multiply(multiply(A,B),X_2)),double_divide(X_2,X_4)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(inverse(double_divide(B,A)),X_2)),double_divide(X_2,X_4)),double_divide(B,A)) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(multiply(X_4,multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168)))),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) = double_divide(B,A),
inference(subst,[],[refute_0_189:[bind(X_2,$fot(multiply(inverse(multiply(A,B)),inverse(X_168))))]]) ).
cnf(refute_0_191,plain,
multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168))) = inverse(X_168),
inference(subst,[],[refute_0_140:[bind(X_166,$fot(multiply(A,B))),bind(X_3,$fot(X_168))]]) ).
cnf(refute_0_192,plain,
( multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168))) != inverse(X_168)
| double_divide(multiply(X_4,multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168)))),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_4,multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168)))),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)),double_divide(B,A)) ),[0,0,1],$fot(inverse(X_168))]]) ).
cnf(refute_0_193,plain,
( double_divide(multiply(X_4,multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168)))),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168))),inverse(X_168)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,multiply(multiply(A,B),multiply(inverse(multiply(A,B)),inverse(X_168)))),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)),double_divide(B,A)) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
double_divide(multiply(C,multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168)))),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = B,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(inverse(B)),inverse(X_168))))]]) ).
cnf(refute_0_196,plain,
multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168))) = inverse(X_168),
inference(subst,[],[refute_0_140:[bind(X_166,$fot(inverse(B))),bind(X_3,$fot(X_168))]]) ).
cnf(refute_0_197,plain,
( multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168))) != inverse(X_168)
| double_divide(multiply(C,multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168)))),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != B
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168)))),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),B) ),[0,0,1],$fot(inverse(X_168))]]) ).
cnf(refute_0_198,plain,
( double_divide(multiply(C,multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168)))),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != B
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = B ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168))),inverse(X_168)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,multiply(inverse(B),multiply(inverse(inverse(B)),inverse(X_168)))),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),B) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_148:[bind(X_22,$fot(B))]]) ).
cnf(refute_0_201,plain,
multiply(inverse(inverse(B)),inverse(X_168)) = multiply(inverse(inverse(B)),inverse(X_168)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(B)),inverse(X_168)))]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(inverse(B)),inverse(X_168)) != multiply(inverse(inverse(B)),inverse(X_168))
| inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),inverse(X_168)) = multiply(B,inverse(X_168)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_168)),multiply(inverse(inverse(B)),inverse(X_168))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_203,plain,
( inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),inverse(X_168)) = multiply(B,inverse(X_168)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_168)),multiply(inverse(inverse(B)),inverse(X_168))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(inverse(inverse(B)),inverse(X_168)) = multiply(B,inverse(X_168)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) = double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C))]]) ).
cnf(refute_0_206,plain,
( multiply(inverse(inverse(B)),inverse(X_168)) != multiply(B,inverse(X_168))
| double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) != double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)
| double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) = double_divide(multiply(B,inverse(X_168)),C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) ),[1,0],$fot(multiply(B,inverse(X_168)))]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(inverse(B)),inverse(X_168)) != multiply(B,inverse(X_168))
| double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) = double_divide(multiply(B,inverse(X_168)),C) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) = double_divide(multiply(B,inverse(X_168)),C),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),inverse(X_168)),multiply(B,inverse(X_168))) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),
introduced(tautology,[refl,[$fot(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)))]]) ).
cnf(refute_0_210,plain,
( double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C))
| double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) != double_divide(multiply(B,inverse(X_168)),C)
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C))) ),[1,1],$fot(double_divide(multiply(B,inverse(X_168)),C))]]) ).
cnf(refute_0_211,plain,
( double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C) != double_divide(multiply(B,inverse(X_168)),C)
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) = double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C),double_divide(multiply(B,inverse(X_168)),C)) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
( double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != B
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C))
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),B) ),[0],$fot(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)))]]) ).
cnf(refute_0_214,plain,
( double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)) != B
| double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)) = B ),
inference(resolve,[$cnf( $equal(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(multiply(C,inverse(X_168)),double_divide(multiply(B,inverse(X_168)),C)) = B,
inference(resolve,[$cnf( $equal(double_divide(multiply(C,inverse(X_168)),double_divide(multiply(inverse(inverse(B)),inverse(X_168)),C)),B) )],[refute_0_199,refute_0_214]) ).
cnf(refute_0_216,plain,
double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_215:[bind(B,$fot(inverse(multiply(A,B)))),bind(C,$fot(X_4))]]) ).
cnf(refute_0_217,plain,
( double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) != double_divide(B,A)
| double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_218,plain,
( double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)),inverse(multiply(A,B))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_4,inverse(X_168)),double_divide(multiply(inverse(multiply(A,B)),inverse(X_168)),X_4)),double_divide(B,A)) )],[refute_0_194,refute_0_218]) ).
cnf(refute_0_220,plain,
inverse(multiply(X_182,inverse(X_22))) = double_divide(inverse(X_22),X_182),
inference(subst,[],[refute_0_219:[bind(A,$fot(X_182)),bind(B,$fot(inverse(X_22)))]]) ).
cnf(refute_0_221,plain,
( multiply(inverse(X_182),X_22) != inverse(multiply(X_182,inverse(X_22)))
| inverse(multiply(X_182,inverse(X_22))) != double_divide(inverse(X_22),X_182)
| multiply(inverse(X_182),X_22) = double_divide(inverse(X_22),X_182) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_182),X_22),double_divide(inverse(X_22),X_182)) ),[0],$fot(inverse(multiply(X_182,inverse(X_22))))]]) ).
cnf(refute_0_222,plain,
( multiply(inverse(X_182),X_22) != inverse(multiply(X_182,inverse(X_22)))
| multiply(inverse(X_182),X_22) = double_divide(inverse(X_22),X_182) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_182,inverse(X_22))),double_divide(inverse(X_22),X_182)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(X_182),X_22) = double_divide(inverse(X_22),X_182),
inference(resolve,[$cnf( $equal(multiply(inverse(X_182),X_22),inverse(multiply(X_182,inverse(X_22)))) )],[refute_0_185,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(inverse(X_182),X_22) != double_divide(inverse(X_22),X_182)
| double_divide(inverse(X_22),X_182) = multiply(inverse(X_182),X_22) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_182),X_22))),bind(Y,$fot(double_divide(inverse(X_22),X_182)))]]) ).
cnf(refute_0_225,plain,
double_divide(inverse(X_22),X_182) = multiply(inverse(X_182),X_22),
inference(resolve,[$cnf( $equal(multiply(inverse(X_182),X_22),double_divide(inverse(X_22),X_182)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = multiply(inverse(double_divide(inverse(X_6),B)),X_6),
inference(subst,[],[refute_0_225:[bind(X_182,$fot(double_divide(inverse(X_6),B))),bind(X_22,$fot(X_6))]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(double_divide(inverse(X_6),B)),X_6) != multiply(multiply(B,inverse(X_6)),X_6)
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) != multiply(inverse(double_divide(inverse(X_6),B)),X_6)
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = multiply(multiply(B,inverse(X_6)),X_6) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_6),double_divide(inverse(X_6),B)))),bind(Y,$fot(multiply(inverse(double_divide(inverse(X_6),B)),X_6))),bind(Z,$fot(multiply(multiply(B,inverse(X_6)),X_6)))]]) ).
cnf(refute_0_228,plain,
( multiply(inverse(double_divide(inverse(X_6),B)),X_6) != multiply(multiply(B,inverse(X_6)),X_6)
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = multiply(multiply(B,inverse(X_6)),X_6) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(inverse(X_6),B)),multiply(inverse(double_divide(inverse(X_6),B)),X_6)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
double_divide(inverse(X_6),double_divide(inverse(X_6),B)) = multiply(multiply(B,inverse(X_6)),X_6),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(X_6),B)),X_6),multiply(multiply(B,inverse(X_6)),X_6)) )],[refute_0_119,refute_0_228]) ).
cnf(refute_0_230,plain,
( double_divide(inverse(X_6),double_divide(inverse(X_6),B)) != B
| double_divide(inverse(X_6),double_divide(inverse(X_6),B)) != multiply(multiply(B,inverse(X_6)),X_6)
| multiply(multiply(B,inverse(X_6)),X_6) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_6),double_divide(inverse(X_6),B)),B) ),[0],$fot(multiply(multiply(B,inverse(X_6)),X_6))]]) ).
cnf(refute_0_231,plain,
( double_divide(inverse(X_6),double_divide(inverse(X_6),B)) != B
| multiply(multiply(B,inverse(X_6)),X_6) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(inverse(X_6),B)),multiply(multiply(B,inverse(X_6)),X_6)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(multiply(B,inverse(X_6)),X_6) = B,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_6),double_divide(inverse(X_6),B)),B) )],[refute_0_114,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),X_185) = double_divide(X_170,inverse(X_185)),
inference(subst,[],[refute_0_232:[bind(B,$fot(double_divide(X_170,inverse(X_185)))),bind(X_6,$fot(X_185))]]) ).
cnf(refute_0_234,plain,
multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)) = inverse(X_170),
inference(subst,[],[refute_0_175:[bind(X_22,$fot(inverse(X_185)))]]) ).
cnf(refute_0_235,plain,
( multiply(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),X_185) != double_divide(X_170,inverse(X_185))
| multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)) != inverse(X_170)
| multiply(inverse(X_170),X_185) = double_divide(X_170,inverse(X_185)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),X_185),double_divide(X_170,inverse(X_185))) ),[0,0],$fot(inverse(X_170))]]) ).
cnf(refute_0_236,plain,
( multiply(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),X_185) != double_divide(X_170,inverse(X_185))
| multiply(inverse(X_170),X_185) = double_divide(X_170,inverse(X_185)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),inverse(X_170)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(inverse(X_170),X_185) = double_divide(X_170,inverse(X_185)),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_170,inverse(X_185)),inverse(X_185)),X_185),double_divide(X_170,inverse(X_185))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(inverse(inverse(X_197)),X_185) = double_divide(inverse(X_197),inverse(X_185)),
inference(subst,[],[refute_0_237:[bind(X_170,$fot(inverse(X_197)))]]) ).
cnf(refute_0_239,plain,
multiply(inverse(inverse(X_185)),X_197) = double_divide(inverse(X_197),inverse(X_185)),
inference(subst,[],[refute_0_223:[bind(X_182,$fot(inverse(X_185))),bind(X_22,$fot(X_197))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(inverse(X_185)),X_197) != double_divide(inverse(X_197),inverse(X_185))
| double_divide(inverse(X_197),inverse(X_185)) = multiply(inverse(inverse(X_185)),X_197) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(inverse(X_185)),X_197))),bind(Y,$fot(double_divide(inverse(X_197),inverse(X_185))))]]) ).
cnf(refute_0_241,plain,
double_divide(inverse(X_197),inverse(X_185)) = multiply(inverse(inverse(X_185)),X_197),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_185)),X_197),double_divide(inverse(X_197),inverse(X_185))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiply(inverse(inverse(X_197)),X_185) != double_divide(inverse(X_197),inverse(X_185))
| double_divide(inverse(X_197),inverse(X_185)) != multiply(inverse(inverse(X_185)),X_197)
| multiply(inverse(inverse(X_197)),X_185) = multiply(inverse(inverse(X_185)),X_197) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(X_197)),X_185),multiply(inverse(inverse(X_185)),X_197)) ),[0],$fot(double_divide(inverse(X_197),inverse(X_185)))]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(inverse(X_197)),X_185) != double_divide(inverse(X_197),inverse(X_185))
| multiply(inverse(inverse(X_197)),X_185) = multiply(inverse(inverse(X_185)),X_197) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_197),inverse(X_185)),multiply(inverse(inverse(X_185)),X_197)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(inverse(inverse(X_197)),X_185) = multiply(inverse(inverse(X_185)),X_197),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),double_divide(inverse(X_197),inverse(X_185))) )],[refute_0_238,refute_0_243]) ).
cnf(refute_0_245,plain,
inverse(inverse(X_197)) = X_197,
inference(subst,[],[refute_0_148:[bind(X_22,$fot(X_197))]]) ).
cnf(refute_0_246,plain,
multiply(inverse(inverse(X_197)),X_185) = multiply(inverse(inverse(X_197)),X_185),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_197)),X_185))]]) ).
cnf(refute_0_247,plain,
( multiply(inverse(inverse(X_197)),X_185) != multiply(inverse(inverse(X_197)),X_185)
| inverse(inverse(X_197)) != X_197
| multiply(inverse(inverse(X_197)),X_185) = multiply(X_197,X_185) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),multiply(inverse(inverse(X_197)),X_185)) ),[1,0],$fot(X_197)]]) ).
cnf(refute_0_248,plain,
( inverse(inverse(X_197)) != X_197
| multiply(inverse(inverse(X_197)),X_185) = multiply(X_197,X_185) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),multiply(inverse(inverse(X_197)),X_185)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(inverse(inverse(X_197)),X_185) = multiply(X_197,X_185),
inference(resolve,[$cnf( $equal(inverse(inverse(X_197)),X_197) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
( multiply(inverse(inverse(X_197)),X_185) != multiply(X_197,X_185)
| multiply(inverse(inverse(X_197)),X_185) != multiply(inverse(inverse(X_185)),X_197)
| multiply(X_197,X_185) = multiply(inverse(inverse(X_185)),X_197) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),multiply(inverse(inverse(X_185)),X_197)) ),[0],$fot(multiply(X_197,X_185))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(inverse(X_197)),X_185) != multiply(inverse(inverse(X_185)),X_197)
| multiply(X_197,X_185) = multiply(inverse(inverse(X_185)),X_197) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),multiply(X_197,X_185)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(inverse(X_185)) = X_185,
inference(subst,[],[refute_0_148:[bind(X_22,$fot(X_185))]]) ).
cnf(refute_0_253,plain,
multiply(inverse(inverse(X_185)),X_197) = multiply(inverse(inverse(X_185)),X_197),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_185)),X_197))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(inverse(X_185)),X_197) != multiply(inverse(inverse(X_185)),X_197)
| inverse(inverse(X_185)) != X_185
| multiply(inverse(inverse(X_185)),X_197) = multiply(X_185,X_197) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_185)),X_197),multiply(inverse(inverse(X_185)),X_197)) ),[1,0],$fot(X_185)]]) ).
cnf(refute_0_255,plain,
( inverse(inverse(X_185)) != X_185
| multiply(inverse(inverse(X_185)),X_197) = multiply(X_185,X_197) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_185)),X_197),multiply(inverse(inverse(X_185)),X_197)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(inverse(inverse(X_185)),X_197) = multiply(X_185,X_197),
inference(resolve,[$cnf( $equal(inverse(inverse(X_185)),X_185) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( multiply(X_197,X_185) != multiply(inverse(inverse(X_185)),X_197)
| multiply(inverse(inverse(X_185)),X_197) != multiply(X_185,X_197)
| multiply(X_197,X_185) = multiply(X_185,X_197) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_197,X_185),multiply(X_185,X_197)) ),[0],$fot(multiply(inverse(inverse(X_185)),X_197))]]) ).
cnf(refute_0_258,plain,
( multiply(X_197,X_185) != multiply(inverse(inverse(X_185)),X_197)
| multiply(X_197,X_185) = multiply(X_185,X_197) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_185)),X_197),multiply(X_185,X_197)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( multiply(inverse(inverse(X_197)),X_185) != multiply(inverse(inverse(X_185)),X_197)
| multiply(X_197,X_185) = multiply(X_185,X_197) ),
inference(resolve,[$cnf( $equal(multiply(X_197,X_185),multiply(inverse(inverse(X_185)),X_197)) )],[refute_0_251,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(X_197,X_185) = multiply(X_185,X_197),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_197)),X_185),multiply(inverse(inverse(X_185)),X_197)) )],[refute_0_244,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(X_197,X_185) != multiply(X_185,X_197)
| multiply(X_185,X_197) = multiply(X_197,X_185) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_197,X_185))),bind(Y,$fot(multiply(X_185,X_197)))]]) ).
cnf(refute_0_262,plain,
multiply(X_185,X_197) = multiply(X_197,X_185),
inference(resolve,[$cnf( $equal(multiply(X_197,X_185),multiply(X_185,X_197)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_262:[bind(X_185,$fot(b)),bind(X_197,$fot(a))]]) ).
cnf(refute_0_264,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_265,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_265,prove_these_axioms_4]) ).
cnf(refute_0_267,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_268,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_267,refute_0_266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP616-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.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 : Tue Jun 14 05:35:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.04/1.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.04/1.20
% 1.04/1.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.04/1.23
%------------------------------------------------------------------------------