TSTP Solution File: GRP590-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 10:42:41 EDT 2022
% Result : Unsatisfiable 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 49
% Syntax : Number of clauses : 171 ( 94 unt; 0 nHn; 77 RR)
% Number of literals : 286 ( 285 equ; 122 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 439 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,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( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(A,inverse(C))) = multiply(inverse(C),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(C))),bind(B,$fot(A))]]) ).
cnf(refute_0_6,plain,
multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)))]]) ).
cnf(refute_0_7,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))
| inverse(double_divide(A,inverse(C))) != multiply(inverse(C),A)
| multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) ),[1,0],$fot(multiply(inverse(C),A))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(A,inverse(C))) != multiply(inverse(C),A)
| multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(C))),multiply(inverse(C),A)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(double_divide(A,inverse(C))))),bind(B,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(multiply(inverse(C),A),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))))),bind(Y,$fot(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)))),bind(Z,$fot(multiply(multiply(inverse(C),A),double_divide(A,B))))]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(multiply(inverse(C),A),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(multiply(inverse(C),A),double_divide(A,B))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B))]]) ).
cnf(refute_0_17,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(multiply(inverse(C),A),double_divide(A,B))
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)) ),[1,0],$fot(multiply(multiply(inverse(C),A),double_divide(A,B)))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(multiply(inverse(C),A),double_divide(A,B))
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),multiply(multiply(inverse(C),A),double_divide(A,B))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != C
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B)
| double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),C) ),[0],$fot(double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B))]]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != C
| double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),C) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(X_17),X_17))),bind(B,$fot(inverse(X_16)))]]) ).
cnf(refute_0_24,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))))]]) ).
cnf(refute_0_25,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B) = X_4,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_26,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) != C
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B) != X_4
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B),C) ),[0,0,1],$fot(X_4)]]) ).
cnf(refute_0_27,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) != C
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B),X_4) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B),C) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_28:[bind(B,$fot(inverse(X_13))),bind(C,$fot(X_13)),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_30,plain,
multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A)),
inference(subst,[],[multiply:[bind(B,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))))]]) ).
cnf(refute_0_31,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A) = X_4,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(A)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_32,plain,
( multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A) != X_4
| multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_33,plain,
( multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))
| multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A),X_4) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) = inverse(X_15),
inference(subst,[],[refute_0_34:[bind(A,$fot(inverse(X_13))),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_36,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) != inverse(X_15)
| double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) ),[0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_37,plain,
( double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),inverse(X_15)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) )],[refute_0_29,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_38:[bind(X_13,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_40,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != C
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),C) ),[0,0,1],$fot(X_16)]]) ).
cnf(refute_0_41,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != C
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),C) )],[refute_0_23,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_16))),bind(B,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_44,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_39,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) )],[refute_0_43,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(C),multiply(inverse(X_17),X_17)) = inverse(C),
inference(subst,[],[refute_0_46:[bind(X_16,$fot(C))]]) ).
cnf(refute_0_48,plain,
multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_49,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)
| multiply(inverse(C),multiply(inverse(X_17),X_17)) != inverse(C)
| multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(C),multiply(inverse(X_17),X_17)) != inverse(C)
| multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_17),X_17)),inverse(C)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)))]]) ).
cnf(refute_0_53,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(C),X_16)
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) ),[1,0],$fot(multiply(inverse(C),X_16))]]) ).
cnf(refute_0_54,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(C),X_16)
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(inverse(C),X_16)) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != C
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(inverse(C),X_16),inverse(X_16))
| double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),C) ),[0],$fot(double_divide(multiply(inverse(C),X_16),inverse(X_16)))]]) ).
cnf(refute_0_57,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != C
| double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(inverse(C),X_16),inverse(X_16))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),C) )],[refute_0_42,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))) = C,
inference(subst,[],[refute_0_58:[bind(X_16,$fot(multiply(inverse(X_35),X_35)))]]) ).
cnf(refute_0_60,plain,
multiply(inverse(C),multiply(inverse(X_35),X_35)) = inverse(C),
inference(subst,[],[refute_0_46:[bind(X_16,$fot(C)),bind(X_17,$fot(X_35))]]) ).
cnf(refute_0_61,plain,
( multiply(inverse(C),multiply(inverse(X_35),X_35)) != inverse(C)
| double_divide(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))) != C
| double_divide(inverse(C),inverse(multiply(inverse(X_35),X_35))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))),C) ),[0,0],$fot(inverse(C))]]) ).
cnf(refute_0_62,plain,
( double_divide(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))) != C
| double_divide(inverse(C),inverse(multiply(inverse(X_35),X_35))) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(C)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(inverse(C),inverse(multiply(inverse(X_35),X_35))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(C),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))),C) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))) = multiply(inverse(X_44),X_44),
inference(subst,[],[refute_0_63:[bind(C,$fot(multiply(inverse(X_44),X_44)))]]) ).
cnf(refute_0_65,plain,
double_divide(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_38:[bind(X_15,$fot(multiply(inverse(X_35),X_35)))]]) ).
cnf(refute_0_66,plain,
multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)) = inverse(multiply(inverse(X_35),X_35)),
inference(subst,[],[refute_0_46:[bind(X_16,$fot(multiply(inverse(X_35),X_35))),bind(X_17,$fot(X_35))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)) != inverse(multiply(inverse(X_35),X_35))
| double_divide(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_35),X_35)),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(X_13)),X_13) ),[0,0],$fot(inverse(multiply(inverse(X_35),X_35)))]]) ).
cnf(refute_0_68,plain,
( double_divide(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_35),X_35)),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(multiply(inverse(X_35),X_35))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(inverse(multiply(inverse(X_35),X_35)),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_35),X_35)),multiply(inverse(X_35),X_35)),inverse(X_13)),X_13) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))) = multiply(inverse(X_35),X_35),
inference(subst,[],[refute_0_69:[bind(X_13,$fot(multiply(inverse(X_35),X_35))),bind(X_35,$fot(X_44))]]) ).
cnf(refute_0_71,plain,
( double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))) != multiply(inverse(X_35),X_35)
| double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))) != multiply(inverse(X_44),X_44)
| multiply(inverse(X_35),X_35) = multiply(inverse(X_44),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))),multiply(inverse(X_44),X_44)) ),[0],$fot(multiply(inverse(X_35),X_35))]]) ).
cnf(refute_0_72,plain,
( double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))) != multiply(inverse(X_44),X_44)
| multiply(inverse(X_35),X_35) = multiply(inverse(X_44),X_44) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))),multiply(inverse(X_35),X_35)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(inverse(X_35),X_35) = multiply(inverse(X_44),X_44),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_44),X_44)),inverse(multiply(inverse(X_35),X_35))),multiply(inverse(X_44),X_44)) )],[refute_0_64,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(inverse(b2),b2) = multiply(inverse(X_46),X_46),
inference(subst,[],[refute_0_73:[bind(X_35,$fot(b2)),bind(X_44,$fot(X_46))]]) ).
cnf(refute_0_75,plain,
( multiply(multiply(inverse(X_46),X_46),a2) != a2
| multiply(inverse(b2),b2) != multiply(inverse(X_46),X_46)
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0,0],$fot(multiply(inverse(X_46),X_46))]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(inverse(X_46),X_46),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),multiply(inverse(X_46),X_46)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(multiply(inverse(X_46),X_46),a2) != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_76,prove_these_axioms_2]) ).
cnf(refute_0_78,plain,
multiply(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),a2) != a2,
inference(subst,[],[refute_0_77:[bind(X_46,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_79,plain,
multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_46:[bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_80,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| multiply(inverse(multiply(inverse(X_17),X_17)),a2) != a2
| multiply(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),a2),a2) ),[0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),a2) != a2
| multiply(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(inverse(multiply(inverse(X_17),X_17)),a2) != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),a2),a2) )],[refute_0_81,refute_0_78]) ).
cnf(refute_0_83,plain,
multiply(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),a2) != a2,
inference(subst,[],[refute_0_82:[bind(X_17,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) != a2
| multiply(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),a2),a2) ),[0,0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_85,plain,
( multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) != a2
| multiply(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) != a2,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),a2),a2) )],[refute_0_85,refute_0_83]) ).
cnf(refute_0_87,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))))]]) ).
cnf(refute_0_88,plain,
multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))) = inverse(X_11),
inference(subst,[],[refute_0_34:[bind(A,$fot(inverse(C))),bind(X_2,$fot(X_10)),bind(X_4,$fot(X_11))]]) ).
cnf(refute_0_89,plain,
( multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))) != inverse(X_11)
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) != C
| double_divide(multiply(inverse(X_11),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B),C) ),[0,0,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_90,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) != C
| double_divide(multiply(inverse(X_11),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),inverse(X_11)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(multiply(inverse(X_11),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C)))),double_divide(multiply(multiply(inverse(X_11),X_10),double_divide(X_10,inverse(C))),B)),B),C) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_28))),X_27)),X_27) = X_28,
inference(subst,[],[refute_0_91:[bind(B,$fot(X_27)),bind(C,$fot(X_28)),bind(X_10,$fot(multiply(inverse(X_15),X_15))),bind(X_11,$fot(X_30))]]) ).
cnf(refute_0_93,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_28)) = X_28,
inference(subst,[],[refute_0_38:[bind(X_13,$fot(X_28))]]) ).
cnf(refute_0_94,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(X_28)) != X_28
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_28))),X_27)),X_27) != X_28
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_28))),X_27)),X_27),X_28) ),[0,0,1,0,1],$fot(X_28)]]) ).
cnf(refute_0_95,plain,
( double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_28))),X_27)),X_27) != X_28
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = X_28 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_28)),X_28) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = X_28,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_28))),X_27)),X_27),X_28) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(X_30),multiply(inverse(X_15),X_15)) = inverse(X_30),
inference(subst,[],[refute_0_46:[bind(X_16,$fot(X_30)),bind(X_17,$fot(X_15))]]) ).
cnf(refute_0_98,plain,
multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) = multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28))]]) ).
cnf(refute_0_99,plain,
( multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) != multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28)
| multiply(inverse(X_30),multiply(inverse(X_15),X_15)) != inverse(X_30)
| multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) = multiply(inverse(X_30),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28)) ),[1,0],$fot(inverse(X_30))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(X_30),multiply(inverse(X_15),X_15)) != inverse(X_30)
| multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) = multiply(inverse(X_30),X_28) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) = multiply(inverse(X_30),X_28),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),inverse(X_30)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) = double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27))]]) ).
cnf(refute_0_103,plain,
( multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) != multiply(inverse(X_30),X_28)
| double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) != double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)
| double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) = double_divide(multiply(inverse(X_30),X_28),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) ),[1,0],$fot(multiply(inverse(X_30),X_28))]]) ).
cnf(refute_0_104,plain,
( multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28) != multiply(inverse(X_30),X_28)
| double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) = double_divide(multiply(inverse(X_30),X_28),X_27) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) = double_divide(multiply(inverse(X_30),X_28),X_27),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),multiply(inverse(X_30),X_28)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) = multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) != multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27))
| double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) != double_divide(multiply(inverse(X_30),X_28),X_27)
| multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) = multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27))) ),[1,1],$fot(double_divide(multiply(inverse(X_30),X_28),X_27))]]) ).
cnf(refute_0_108,plain,
( double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27) != double_divide(multiply(inverse(X_30),X_28),X_27)
| multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) = multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) = multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27),double_divide(multiply(inverse(X_30),X_28),X_27)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27))]]) ).
cnf(refute_0_111,plain,
( multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) != multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27))
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) != double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27)
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27)) ),[1,0],$fot(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)))]]) ).
cnf(refute_0_112,plain,
( multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)) != multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27))
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) = double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) != X_28
| double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) != double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27)
| double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),X_28) ),[0],$fot(double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27))]]) ).
cnf(refute_0_115,plain,
( double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27) != X_28
| double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27) = X_28 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(multiply(inverse(X_30),double_divide(multiply(inverse(X_30),X_28),X_27)),X_27) = X_28,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_30),double_divide(multiply(multiply(inverse(X_30),multiply(inverse(X_15),X_15)),X_28),X_27)),X_27),X_28) )],[refute_0_96,refute_0_115]) ).
cnf(refute_0_117,plain,
double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) = X_28,
inference(subst,[],[refute_0_116:[bind(X_30,$fot(inverse(multiply(inverse(X_55),X_55))))]]) ).
cnf(refute_0_118,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_38:[bind(X_13,$fot(double_divide(B,A))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_119,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_120,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_119]) ).
cnf(refute_0_121,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_118,refute_0_120]) ).
cnf(refute_0_122,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) = double_divide(B,inverse(B)),
inference(subst,[],[refute_0_121:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_123,plain,
multiply(inverse(B),B) = multiply(inverse(X_46),X_46),
inference(subst,[],[refute_0_73:[bind(X_35,$fot(B)),bind(X_44,$fot(X_46))]]) ).
cnf(refute_0_124,plain,
( multiply(inverse(B),B) != multiply(inverse(X_46),X_46)
| double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)),double_divide(B,inverse(B))) ),[0,1],$fot(multiply(inverse(X_46),X_46))]]) ).
cnf(refute_0_125,plain,
( double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),multiply(inverse(X_46),X_46)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) = double_divide(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)),double_divide(B,inverse(B))) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) = double_divide(X_46,inverse(X_46)),
inference(subst,[],[refute_0_121:[bind(A,$fot(inverse(X_46))),bind(B,$fot(X_46))]]) ).
cnf(refute_0_128,plain,
( double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) != double_divide(X_46,inverse(X_46))
| double_divide(X_46,inverse(X_46)) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)),double_divide(B,inverse(B))) ),[0],$fot(double_divide(X_46,inverse(X_46)))]]) ).
cnf(refute_0_129,plain,
( double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)) != double_divide(B,inverse(B))
| double_divide(X_46,inverse(X_46)) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)),double_divide(X_46,inverse(X_46))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(X_46,inverse(X_46)) = double_divide(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(X_46),X_46)),double_divide(B,inverse(B))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(X_46,inverse(X_46)) = double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49))))),
inference(subst,[],[refute_0_130:[bind(B,$fot(inverse(inverse(multiply(inverse(X_49),X_49)))))]]) ).
cnf(refute_0_132,plain,
double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_43)) = X_43,
inference(subst,[],[refute_0_69:[bind(X_13,$fot(X_43)),bind(X_35,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_43)) != X_43
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_43)) = X_43 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_43)),X_43) ),[0,0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_134,plain,
( double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_43)) != X_43
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_43)) = X_43 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_79,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_43)) = X_43,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_43)),X_43) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49))))) = inverse(inverse(multiply(inverse(X_49),X_49))),
inference(subst,[],[refute_0_135:[bind(X_17,$fot(X_49)),bind(X_43,$fot(inverse(inverse(multiply(inverse(X_49),X_49)))))]]) ).
cnf(refute_0_137,plain,
( double_divide(X_46,inverse(X_46)) != double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49)))))
| double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49))))) != inverse(inverse(multiply(inverse(X_49),X_49)))
| double_divide(X_46,inverse(X_46)) = inverse(inverse(multiply(inverse(X_49),X_49))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_46,inverse(X_46)),inverse(inverse(multiply(inverse(X_49),X_49)))) ),[0],$fot(double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49))))))]]) ).
cnf(refute_0_138,plain,
( double_divide(X_46,inverse(X_46)) != double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49)))))
| double_divide(X_46,inverse(X_46)) = inverse(inverse(multiply(inverse(X_49),X_49))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49))))),inverse(inverse(multiply(inverse(X_49),X_49)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(X_46,inverse(X_46)) = inverse(inverse(multiply(inverse(X_49),X_49))),
inference(resolve,[$cnf( $equal(double_divide(X_46,inverse(X_46)),double_divide(inverse(inverse(multiply(inverse(X_49),X_49))),inverse(inverse(inverse(multiply(inverse(X_49),X_49)))))) )],[refute_0_131,refute_0_138]) ).
cnf(refute_0_140,plain,
double_divide(X_54,inverse(X_54)) = inverse(inverse(multiply(inverse(X_55),X_55))),
inference(subst,[],[refute_0_139:[bind(X_46,$fot(X_54)),bind(X_49,$fot(X_55))]]) ).
cnf(refute_0_141,plain,
( double_divide(X_54,inverse(X_54)) != inverse(inverse(multiply(inverse(X_55),X_55)))
| inverse(inverse(multiply(inverse(X_55),X_55))) = double_divide(X_54,inverse(X_54)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_54,inverse(X_54)))),bind(Y,$fot(inverse(inverse(multiply(inverse(X_55),X_55)))))]]) ).
cnf(refute_0_142,plain,
inverse(inverse(multiply(inverse(X_55),X_55))) = double_divide(X_54,inverse(X_54)),
inference(resolve,[$cnf( $equal(double_divide(X_54,inverse(X_54)),inverse(inverse(multiply(inverse(X_55),X_55)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) != X_28
| inverse(inverse(multiply(inverse(X_55),X_55))) != double_divide(X_54,inverse(X_54))
| double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27),X_28) ),[0,0,0],$fot(double_divide(X_54,inverse(X_54)))]]) ).
cnf(refute_0_144,plain,
( double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) != X_28
| double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) = X_28 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(X_54,inverse(X_54))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) = X_28,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27),X_28) )],[refute_0_117,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(multiply(multiply(inverse(A),A),double_divide(A,B)),B) = A,
inference(subst,[],[refute_0_22:[bind(C,$fot(A))]]) ).
cnf(refute_0_147,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))) = multiply(inverse(X_15),X_15),
inference(subst,[],[refute_0_38:[bind(X_13,$fot(multiply(inverse(X_15),X_15)))]]) ).
cnf(refute_0_148,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))) = double_divide(X_47,inverse(X_47)),
inference(subst,[],[refute_0_130:[bind(B,$fot(X_47)),bind(X_46,$fot(multiply(inverse(X_15),X_15)))]]) ).
cnf(refute_0_149,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))) != multiply(inverse(X_15),X_15)
| double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))) != double_divide(X_47,inverse(X_47))
| double_divide(X_47,inverse(X_47)) = multiply(inverse(X_15),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))),multiply(inverse(X_15),X_15)) ),[0],$fot(double_divide(X_47,inverse(X_47)))]]) ).
cnf(refute_0_150,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))) != multiply(inverse(X_15),X_15)
| double_divide(X_47,inverse(X_47)) = multiply(inverse(X_15),X_15) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))),double_divide(X_47,inverse(X_47))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(X_47,inverse(X_47)) = multiply(inverse(X_15),X_15),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(multiply(inverse(X_15),X_15))),multiply(inverse(X_15),X_15)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(X_53,inverse(X_53)) = multiply(inverse(A),A),
inference(subst,[],[refute_0_151:[bind(X_15,$fot(A)),bind(X_47,$fot(X_53))]]) ).
cnf(refute_0_153,plain,
( double_divide(X_53,inverse(X_53)) != multiply(inverse(A),A)
| multiply(inverse(A),A) = double_divide(X_53,inverse(X_53)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_53,inverse(X_53)))),bind(Y,$fot(multiply(inverse(A),A)))]]) ).
cnf(refute_0_154,plain,
multiply(inverse(A),A) = double_divide(X_53,inverse(X_53)),
inference(resolve,[$cnf( $equal(double_divide(X_53,inverse(X_53)),multiply(inverse(A),A)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(inverse(A),A) != double_divide(X_53,inverse(X_53))
| double_divide(multiply(multiply(inverse(A),A),double_divide(A,B)),B) != A
| double_divide(multiply(double_divide(X_53,inverse(X_53)),double_divide(A,B)),B) = A ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(A),A),double_divide(A,B)),B),A) ),[0,0,0],$fot(double_divide(X_53,inverse(X_53)))]]) ).
cnf(refute_0_156,plain,
( double_divide(multiply(multiply(inverse(A),A),double_divide(A,B)),B) != A
| double_divide(multiply(double_divide(X_53,inverse(X_53)),double_divide(A,B)),B) = A ),
inference(resolve,[$cnf( $equal(multiply(inverse(A),A),double_divide(X_53,inverse(X_53))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(multiply(double_divide(X_53,inverse(X_53)),double_divide(A,B)),B) = A,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(A),A),double_divide(A,B)),B),A) )],[refute_0_146,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) = multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),
inference(subst,[],[refute_0_157:[bind(A,$fot(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28))),bind(B,$fot(X_27)),bind(X_53,$fot(X_54))]]) ).
cnf(refute_0_159,plain,
( double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) != X_28
| double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) != multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28)
| multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27),X_28) ),[0],$fot(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28))]]) ).
cnf(refute_0_160,plain,
( double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27) != X_28
| multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28) = X_28 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27),multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28) = X_28,
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_54,inverse(X_54)),double_divide(multiply(inverse(inverse(multiply(inverse(X_55),X_55))),X_28),X_27)),X_27),X_28) )],[refute_0_145,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) = a2,
inference(subst,[],[refute_0_161:[bind(X_28,$fot(a2)),bind(X_55,$fot(X_17))]]) ).
cnf(refute_0_163,plain,
( multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) != a2
| a2 != a2
| multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_164,plain,
( a2 != a2
| multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2),a2) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_17),X_17))),a2),a2) )],[refute_0_164,refute_0_86]) ).
cnf(refute_0_166,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_167,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_166,refute_0_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP590-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Mon Jun 13 17:17:12 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.16/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52
% 0.22/0.52 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.22/0.56
%------------------------------------------------------------------------------