TSTP Solution File: GRP586-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:39 EDT 2022
% Result : Unsatisfiable 0.22s 0.43s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 44
% Syntax : Number of clauses : 166 ( 89 unt; 0 nHn; 80 RR)
% Number of literals : 281 ( 280 equ; 117 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 465 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
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( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(double_divide(A,B),inverse(C))) = multiply(inverse(C),double_divide(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(C))),bind(B,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_6,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
introduced(tautology,[refl,[$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_7,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) ),[1,1],$fot(multiply(inverse(C),double_divide(A,B)))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(C))),multiply(inverse(C),double_divide(A,B))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))),bind(Y,$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))),bind(Z,$fot(multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_14,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),
introduced(tautology,[refl,[$fot(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))))]]) ).
cnf(refute_0_17,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) ),[1,1],$fot(multiply(B,multiply(inverse(C),double_divide(A,B))))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) ),[0],$fot(double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_21,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) = C,
inference(subst,[],[refute_0_22:[bind(B,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))))]]) ).
cnf(refute_0_24,plain,
double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) = X_4,
inference(subst,[],[refute_0_22:[bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) != X_4
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) ),[0,1,1,1],$fot(X_4)]]) ).
cnf(refute_0_26,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) = X_13,
inference(subst,[],[refute_0_27:[bind(A,$fot(multiply(inverse(X_13),X_15))),bind(C,$fot(X_13)),bind(X_3,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_29,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))]]) ).
cnf(refute_0_30,plain,
double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) = X_4,
inference(subst,[],[refute_0_22:[bind(A,$fot(B)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_31,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) != X_4
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))),X_4) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)) = inverse(X_15),
inference(subst,[],[refute_0_33:[bind(B,$fot(multiply(inverse(X_13),X_15))),bind(X_3,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_35,plain,
( multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)) != inverse(X_15)
| double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) != X_13
| double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))),X_13) ),[0,1],$fot(inverse(X_15))]]) ).
cnf(refute_0_36,plain,
( double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))) != X_13
| double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15)),inverse(X_15)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(multiply(inverse(X_13),X_15),inverse(X_15)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))),X_13) )],[refute_0_28,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(multiply(inverse(X_18),X_13))) = X_13,
inference(subst,[],[refute_0_37:[bind(X_15,$fot(multiply(inverse(X_18),X_13)))]]) ).
cnf(refute_0_39,plain,
multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_17))),bind(B,$fot(multiply(inverse(X_16),X_17)))]]) ).
cnf(refute_0_40,plain,
double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) = X_16,
inference(subst,[],[refute_0_37:[bind(X_13,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_41,plain,
( multiply(inverse(X_17),multiply(inverse(X_16),X_17)) != inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_17),multiply(inverse(X_16),X_17)),inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_42,plain,
( multiply(inverse(X_17),multiply(inverse(X_16),X_17)) != inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))
| multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(X_17),multiply(inverse(X_16),X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(inverse(X_16),X_17)),inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(X_13),multiply(inverse(X_18),X_13)) = inverse(X_18),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_18)),bind(X_17,$fot(X_13))]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_13),multiply(inverse(X_18),X_13)) != inverse(X_18)
| double_divide(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(multiply(inverse(X_18),X_13))) != X_13
| double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(multiply(inverse(X_18),X_13))),X_13) ),[0,0],$fot(inverse(X_18))]]) ).
cnf(refute_0_46,plain,
( double_divide(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(multiply(inverse(X_18),X_13))) != X_13
| double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(X_18)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_18),X_13)),inverse(multiply(inverse(X_18),X_13))),X_13) )],[refute_0_38,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(inverse(X_21),inverse(multiply(inverse(X_21),multiply(inverse(X_16),X_21)))) = multiply(inverse(X_16),X_21),
inference(subst,[],[refute_0_47:[bind(X_13,$fot(multiply(inverse(X_16),X_21))),bind(X_18,$fot(X_21))]]) ).
cnf(refute_0_49,plain,
multiply(inverse(X_21),multiply(inverse(X_16),X_21)) = inverse(X_16),
inference(subst,[],[refute_0_43:[bind(X_17,$fot(X_21))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(X_21),multiply(inverse(X_16),X_21)) != inverse(X_16)
| double_divide(inverse(X_21),inverse(multiply(inverse(X_21),multiply(inverse(X_16),X_21)))) != multiply(inverse(X_16),X_21)
| double_divide(inverse(X_21),inverse(inverse(X_16))) = multiply(inverse(X_16),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_21),inverse(multiply(inverse(X_21),multiply(inverse(X_16),X_21)))),multiply(inverse(X_16),X_21)) ),[0,1,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_51,plain,
( double_divide(inverse(X_21),inverse(multiply(inverse(X_21),multiply(inverse(X_16),X_21)))) != multiply(inverse(X_16),X_21)
| double_divide(inverse(X_21),inverse(inverse(X_16))) = multiply(inverse(X_16),X_21) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_21),multiply(inverse(X_16),X_21)),inverse(X_16)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(inverse(X_21),inverse(inverse(X_16))) = multiply(inverse(X_16),X_21),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_21),inverse(multiply(inverse(X_21),multiply(inverse(X_16),X_21)))),multiply(inverse(X_16),X_21)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(inverse(X_32),inverse(inverse(double_divide(B,A)))) = multiply(inverse(double_divide(B,A)),X_32),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(double_divide(B,A))),bind(X_21,$fot(X_32))]]) ).
cnf(refute_0_54,plain,
( double_divide(inverse(X_32),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_32)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_32)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_55,plain,
( double_divide(inverse(X_32),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_32)
| double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_32) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_32),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_32)) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(double_divide(B,A)),X_32) = multiply(inverse(double_divide(B,A)),X_32),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(B,A)),X_32))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(double_divide(B,A)),X_32) != multiply(inverse(double_divide(B,A)),X_32)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_32) = multiply(multiply(A,B),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_32),multiply(inverse(double_divide(B,A)),X_32)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_59,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_32) = multiply(multiply(A,B),X_32) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_32),multiply(inverse(double_divide(B,A)),X_32)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(double_divide(B,A)),X_32) = multiply(multiply(A,B),X_32),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(inverse(double_divide(B,A)),X_32) != multiply(multiply(A,B),X_32)
| double_divide(inverse(X_32),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_32)
| double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(multiply(A,B),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_32)) ),[1],$fot(multiply(multiply(A,B),X_32))]]) ).
cnf(refute_0_62,plain,
( double_divide(inverse(X_32),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_32)
| double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(multiply(A,B),X_32) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_32),multiply(multiply(A,B),X_32)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(inverse(X_32),inverse(multiply(A,B))) = multiply(multiply(A,B),X_32),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_32)) )],[refute_0_56,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) = multiply(multiply(inverse(X_18),X_13),X_18),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_18))),bind(B,$fot(X_13)),bind(X_32,$fot(X_18))]]) ).
cnf(refute_0_65,plain,
( double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) != X_13
| double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) != multiply(multiply(inverse(X_18),X_13),X_18)
| multiply(multiply(inverse(X_18),X_13),X_18) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))),X_13) ),[0],$fot(multiply(multiply(inverse(X_18),X_13),X_18))]]) ).
cnf(refute_0_66,plain,
( double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))) != X_13
| multiply(multiply(inverse(X_18),X_13),X_18) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))),multiply(multiply(inverse(X_18),X_13),X_18)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(multiply(inverse(X_18),X_13),X_18) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_18),inverse(multiply(inverse(X_18),X_13))),X_13) )],[refute_0_47,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(multiply(inverse(b2),a2),b2) = a2,
inference(subst,[],[refute_0_67:[bind(X_13,$fot(a2)),bind(X_18,$fot(b2))]]) ).
cnf(refute_0_69,plain,
double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_70,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) ),[0,1,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_71,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A),
inference(subst,[],[refute_0_72:[bind(B,$fot(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))))]]) ).
cnf(refute_0_74,plain,
multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)) = inverse(X_11),
inference(subst,[],[refute_0_33:[bind(B,$fot(double_divide(X_2,X_3))),bind(X_3,$fot(A)),bind(X_4,$fot(X_11))]]) ).
cnf(refute_0_75,plain,
( multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)) != inverse(X_11)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A)
| double_divide(X_2,multiply(X_3,inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)))),double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A)) ),[0,1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_76,plain,
( double_divide(X_2,multiply(X_3,multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A)
| double_divide(X_2,multiply(X_3,inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)),inverse(X_11)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(X_2,multiply(X_3,inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(multiply(A,multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A))),double_divide(X_2,X_3)))),double_divide(multiply(inverse(X_11),double_divide(double_divide(X_2,X_3),A)),A)) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(inverse(X_32),inverse(inverse(X_31))),A)),A),
inference(subst,[],[refute_0_77:[bind(X_2,$fot(inverse(X_32))),bind(X_3,$fot(inverse(inverse(X_31))))]]) ).
cnf(refute_0_79,plain,
double_divide(inverse(X_32),inverse(inverse(X_31))) = multiply(inverse(X_31),X_32),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(X_31)),bind(X_21,$fot(X_32))]]) ).
cnf(refute_0_80,plain,
( double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(inverse(X_32),inverse(inverse(X_31))),A)),A)
| double_divide(inverse(X_32),inverse(inverse(X_31))) != multiply(inverse(X_31),X_32)
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(double_divide(inverse(X_32),inverse(inverse(X_31))),A)),A)) ),[1,0,1,0],$fot(multiply(inverse(X_31),X_32))]]) ).
cnf(refute_0_81,plain,
( double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(inverse(X_32),inverse(inverse(X_31))),A)),A)
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),inverse(inverse(X_31))),multiply(inverse(X_31),X_32)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(double_divide(inverse(X_32),inverse(inverse(X_31))),A)),A)) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(inverse(inverse(X_23)),multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23))) = inverse(multiply(inverse(X_23),X_22)),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(multiply(inverse(X_23),X_22))),bind(X_17,$fot(inverse(X_23)))]]) ).
cnf(refute_0_84,plain,
multiply(inverse(multiply(inverse(X_18),X_16)),multiply(inverse(X_16),multiply(inverse(X_18),X_16))) = inverse(X_16),
inference(subst,[],[refute_0_43:[bind(X_17,$fot(multiply(inverse(X_18),X_16)))]]) ).
cnf(refute_0_85,plain,
multiply(inverse(X_16),multiply(inverse(X_18),X_16)) = inverse(X_18),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_18)),bind(X_17,$fot(X_16))]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(X_16),multiply(inverse(X_18),X_16)) != inverse(X_18)
| multiply(inverse(multiply(inverse(X_18),X_16)),multiply(inverse(X_16),multiply(inverse(X_18),X_16))) != inverse(X_16)
| multiply(inverse(multiply(inverse(X_18),X_16)),inverse(X_18)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_18),X_16)),multiply(inverse(X_16),multiply(inverse(X_18),X_16))),inverse(X_16)) ),[0,1],$fot(inverse(X_18))]]) ).
cnf(refute_0_87,plain,
( multiply(inverse(multiply(inverse(X_18),X_16)),multiply(inverse(X_16),multiply(inverse(X_18),X_16))) != inverse(X_16)
| multiply(inverse(multiply(inverse(X_18),X_16)),inverse(X_18)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_18),X_16)),inverse(X_18)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(multiply(inverse(X_18),X_16)),inverse(X_18)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_18),X_16)),multiply(inverse(X_16),multiply(inverse(X_18),X_16))),inverse(X_16)) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23)) = inverse(X_22),
inference(subst,[],[refute_0_88:[bind(X_16,$fot(X_22)),bind(X_18,$fot(X_23))]]) ).
cnf(refute_0_90,plain,
( multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23)) != inverse(X_22)
| multiply(inverse(inverse(X_23)),multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23))) != inverse(multiply(inverse(X_23),X_22))
| multiply(inverse(inverse(X_23)),inverse(X_22)) = inverse(multiply(inverse(X_23),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_23)),multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23))),inverse(multiply(inverse(X_23),X_22))) ),[0,1],$fot(inverse(X_22))]]) ).
cnf(refute_0_91,plain,
( multiply(inverse(inverse(X_23)),multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23))) != inverse(multiply(inverse(X_23),X_22))
| multiply(inverse(inverse(X_23)),inverse(X_22)) = inverse(multiply(inverse(X_23),X_22)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23)),inverse(X_22)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(inverse(inverse(X_23)),inverse(X_22)) = inverse(multiply(inverse(X_23),X_22)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_23)),multiply(inverse(multiply(inverse(X_23),X_22)),inverse(X_23))),inverse(multiply(inverse(X_23),X_22))) )],[refute_0_83,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(inverse(inverse(X_31)),inverse(X_11)) = inverse(multiply(inverse(X_31),X_11)),
inference(subst,[],[refute_0_92:[bind(X_22,$fot(X_11)),bind(X_23,$fot(X_31))]]) ).
cnf(refute_0_94,plain,
double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(inverse(X_31)),inverse(X_11)) != inverse(multiply(inverse(X_31),X_11))
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11)))
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11)))) ),[1,1],$fot(inverse(multiply(inverse(X_31),X_11)))]]) ).
cnf(refute_0_96,plain,
( multiply(inverse(inverse(X_31)),inverse(X_11)) != inverse(multiply(inverse(X_31),X_11))
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) = double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_31)),inverse(X_11)),inverse(multiply(inverse(X_31),X_11))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11)))
| double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)) ),[0],$fot(double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))))]]) ).
cnf(refute_0_99,plain,
( double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),multiply(inverse(inverse(X_31)),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)) )],[refute_0_82,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) = multiply(multiply(inverse(X_31),X_11),X_32),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_31))),bind(B,$fot(X_11))]]) ).
cnf(refute_0_102,plain,
( double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) != multiply(multiply(inverse(X_31),X_11),X_32)
| double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| multiply(multiply(inverse(X_31),X_11),X_32) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))),double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)) ),[0],$fot(multiply(multiply(inverse(X_31),X_11),X_32))]]) ).
cnf(refute_0_103,plain,
( double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| multiply(multiply(inverse(X_31),X_11),X_32) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))),multiply(multiply(inverse(X_31),X_11),X_32)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(multiply(inverse(X_31),X_11),X_32) = double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),inverse(multiply(inverse(X_31),X_11))),double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))) = multiply(multiply(inverse(X_31),X_32),X_11),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_31))),bind(B,$fot(X_32)),bind(X_32,$fot(X_11))]]) ).
cnf(refute_0_106,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),A)),A),
inference(subst,[],[refute_0_77:[bind(X_2,$fot(multiply(inverse(X_41),X_41))),bind(X_3,$fot(inverse(X_40)))]]) ).
cnf(refute_0_107,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(X_16),X_17))),bind(B,$fot(inverse(X_17)))]]) ).
cnf(refute_0_108,plain,
( double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) != C
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))),C) ),[0,1,1,1],$fot(X_16)]]) ).
cnf(refute_0_109,plain,
( double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) != C
| double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))),C) )],[refute_0_107,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(multiply(inverse(X_38),X_38),multiply(inverse(X_38),multiply(inverse(X_37),X_38))) = X_37,
inference(subst,[],[refute_0_110:[bind(C,$fot(X_37)),bind(X_16,$fot(X_38)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_112,plain,
multiply(inverse(X_38),multiply(inverse(X_37),X_38)) = inverse(X_37),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_37)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_113,plain,
( multiply(inverse(X_38),multiply(inverse(X_37),X_38)) != inverse(X_37)
| double_divide(multiply(inverse(X_38),X_38),multiply(inverse(X_38),multiply(inverse(X_37),X_38))) != X_37
| double_divide(multiply(inverse(X_38),X_38),inverse(X_37)) = X_37 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_38),X_38),multiply(inverse(X_38),multiply(inverse(X_37),X_38))),X_37) ),[0,1],$fot(inverse(X_37))]]) ).
cnf(refute_0_114,plain,
( double_divide(multiply(inverse(X_38),X_38),multiply(inverse(X_38),multiply(inverse(X_37),X_38))) != X_37
| double_divide(multiply(inverse(X_38),X_38),inverse(X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),multiply(inverse(X_37),X_38)),inverse(X_37)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(multiply(inverse(X_38),X_38),inverse(X_37)) = X_37,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_38),X_38),multiply(inverse(X_38),multiply(inverse(X_37),X_38))),X_37) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(multiply(inverse(X_41),X_41),inverse(X_40)) = X_40,
inference(subst,[],[refute_0_115:[bind(X_37,$fot(X_40)),bind(X_38,$fot(X_41))]]) ).
cnf(refute_0_117,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),A)),A)
| double_divide(multiply(inverse(X_41),X_41),inverse(X_40)) != X_40
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),A)),A)) ),[1,0,1,0],$fot(X_40)]]) ).
cnf(refute_0_118,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),A)),A)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),X_40) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),A)),A)) )],[refute_0_106,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),double_divide(multiply(inverse(X_41),X_41),inverse(X_40))))) = double_divide(B,A),
inference(subst,[],[refute_0_72:[bind(X_2,$fot(multiply(inverse(X_41),X_41))),bind(X_3,$fot(inverse(X_40)))]]) ).
cnf(refute_0_121,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),double_divide(multiply(inverse(X_41),X_41),inverse(X_40))))) != double_divide(B,A)
| double_divide(multiply(inverse(X_41),X_41),inverse(X_40)) != X_40
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),double_divide(multiply(inverse(X_41),X_41),inverse(X_40))))),double_divide(B,A)) ),[0,1,1,1],$fot(X_40)]]) ).
cnf(refute_0_122,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),double_divide(multiply(inverse(X_41),X_41),inverse(X_40))))) != double_divide(B,A)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),inverse(X_40)),X_40) )],[refute_0_116,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),double_divide(multiply(inverse(X_41),X_41),inverse(X_40))))),double_divide(B,A)) )],[refute_0_120,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(X_19),multiply(inverse(double_divide(B,A)),X_19)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(double_divide(B,A))),bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(X_19),multiply(inverse(double_divide(B,A)),X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_19),multiply(inverse(double_divide(B,A)),X_19)),inverse(double_divide(B,A))) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_126,plain,
( multiply(inverse(X_19),multiply(inverse(double_divide(B,A)),X_19)) != inverse(double_divide(B,A))
| multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),multiply(inverse(double_divide(B,A)),X_19)),inverse(double_divide(B,A))) )],[refute_0_124,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(inverse(X_19),multiply(multiply(A,B),X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_19),multiply(multiply(A,B),X_19)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(X_19),multiply(multiply(A,B),X_19)) != inverse(double_divide(B,A))
| multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(X_19),multiply(multiply(A,B),X_19)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),multiply(multiply(A,B),X_19)),inverse(double_divide(B,A))) )],[refute_0_127,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(inverse(X_40),multiply(multiply(A,B),X_40)) = multiply(A,B),
inference(subst,[],[refute_0_130:[bind(X_19,$fot(X_40))]]) ).
cnf(refute_0_132,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))))]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(X_40),multiply(multiply(A,B),X_40)) != multiply(A,B)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) != double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40)))
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(multiply(inverse(X_41),X_41),multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_134,plain,
( multiply(inverse(X_40),multiply(multiply(A,B),X_40)) != multiply(A,B)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(multiply(inverse(X_41),X_41),multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) = double_divide(multiply(inverse(X_41),X_41),multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(multiply(A,B),X_40)),multiply(A,B)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) != double_divide(B,A)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) != double_divide(multiply(inverse(X_41),X_41),multiply(A,B))
| double_divide(multiply(inverse(X_41),X_41),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),double_divide(B,A)) ),[0],$fot(double_divide(multiply(inverse(X_41),X_41),multiply(A,B)))]]) ).
cnf(refute_0_137,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))) != double_divide(B,A)
| double_divide(multiply(inverse(X_41),X_41),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),double_divide(multiply(inverse(X_41),X_41),multiply(A,B))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),multiply(multiply(A,B),X_40))),double_divide(B,A)) )],[refute_0_123,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) = double_divide(inverse(X_11),inverse(X_40)),
inference(subst,[],[refute_0_138:[bind(A,$fot(inverse(X_40))),bind(B,$fot(inverse(X_11)))]]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)
| double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) != double_divide(inverse(X_11),inverse(X_40))
| double_divide(inverse(X_11),inverse(X_40)) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)) ),[0],$fot(double_divide(inverse(X_11),inverse(X_40)))]]) ).
cnf(refute_0_141,plain,
( double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))) != double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)
| double_divide(inverse(X_11),inverse(X_40)) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))),double_divide(inverse(X_11),inverse(X_40))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(inverse(X_11),inverse(X_40)) = double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_41),multiply(inverse(X_40),inverse(X_11))),double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)) )],[refute_0_119,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(inverse(X_11),inverse(X_40)) != double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)
| double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) = double_divide(inverse(X_11),inverse(X_40)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(inverse(X_11),inverse(X_40)))),bind(Y,$fot(double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)))]]) ).
cnf(refute_0_144,plain,
double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A) = double_divide(inverse(X_11),inverse(X_40)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(X_40)),double_divide(multiply(inverse(X_11),double_divide(X_40,A)),A)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) = double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))),
inference(subst,[],[refute_0_144:[bind(X_40,$fot(multiply(inverse(X_31),X_32)))]]) ).
cnf(refute_0_146,plain,
( double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) != double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32)))
| double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))) != multiply(multiply(inverse(X_31),X_32),X_11)
| double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) = multiply(multiply(inverse(X_31),X_32),X_11) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A))),bind(Y,$fot(double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))))),bind(Z,$fot(multiply(multiply(inverse(X_31),X_32),X_11)))]]) ).
cnf(refute_0_147,plain,
( double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))) != multiply(multiply(inverse(X_31),X_32),X_11)
| double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) = multiply(multiply(inverse(X_31),X_32),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A),double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32)))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) = multiply(multiply(inverse(X_31),X_32),X_11),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(inverse(X_31),X_32))),multiply(multiply(inverse(X_31),X_32),X_11)) )],[refute_0_105,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(multiply(inverse(X_31),X_11),X_32) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A) != multiply(multiply(inverse(X_31),X_32),X_11)
| multiply(multiply(inverse(X_31),X_11),X_32) = multiply(multiply(inverse(X_31),X_32),X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_31),X_11),X_32),multiply(multiply(inverse(X_31),X_32),X_11)) ),[0],$fot(double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A))]]) ).
cnf(refute_0_150,plain,
( multiply(multiply(inverse(X_31),X_11),X_32) != double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)
| multiply(multiply(inverse(X_31),X_11),X_32) = multiply(multiply(inverse(X_31),X_32),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A),multiply(multiply(inverse(X_31),X_32),X_11)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiply(inverse(X_31),X_11),X_32) = multiply(multiply(inverse(X_31),X_32),X_11),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),X_11),X_32),double_divide(multiply(inverse(X_11),double_divide(multiply(inverse(X_31),X_32),A)),A)) )],[refute_0_104,refute_0_150]) ).
cnf(refute_0_152,plain,
( multiply(multiply(inverse(X_31),X_11),X_32) != multiply(multiply(inverse(X_31),X_32),X_11)
| multiply(multiply(inverse(X_31),X_32),X_11) = multiply(multiply(inverse(X_31),X_11),X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(inverse(X_31),X_11),X_32))),bind(Y,$fot(multiply(multiply(inverse(X_31),X_32),X_11)))]]) ).
cnf(refute_0_153,plain,
multiply(multiply(inverse(X_31),X_32),X_11) = multiply(multiply(inverse(X_31),X_11),X_32),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),X_11),X_32),multiply(multiply(inverse(X_31),X_32),X_11)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(inverse(b2),a2),b2),
inference(subst,[],[refute_0_153:[bind(X_11,$fot(a2)),bind(X_31,$fot(b2)),bind(X_32,$fot(b2))]]) ).
cnf(refute_0_155,plain,
( multiply(multiply(inverse(b2),a2),b2) != a2
| multiply(multiply(inverse(b2),b2),a2) != multiply(multiply(inverse(b2),a2),b2)
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y,$fot(multiply(multiply(inverse(b2),a2),b2))),bind(Z,$fot(a2))]]) ).
cnf(refute_0_156,plain,
( multiply(multiply(inverse(b2),a2),b2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),a2),b2)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),a2),b2),a2) )],[refute_0_68,refute_0_156]) ).
cnf(refute_0_158,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_159,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_159,prove_these_axioms_2]) ).
cnf(refute_0_161,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_162,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_161,refute_0_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 23:31:09 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43
% 0.22/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.48
%------------------------------------------------------------------------------