%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of clauses : 119 ( 65 unt; 0 nHn; 53 RR)
% Number of literals : 200 ( 199 equ; 83 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 : 316 ( 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_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(double_divide(A,B),inverse(C))) = multiply(inverse(C),double_divide(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$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( $equal(double_divide(multiply(inverse(X_13),X_15),multiply(multiply(X_14,multiply(inverse(X_15),double_divide(multiply(inverse(X_13),X_15),X_14))),multiply(inverse(X_13),X_15))),X_13) )],[refute_0_28,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) = X_13,
inference(subst,[],[refute_0_37:[bind(X_15,$fot(multiply(inverse(X_22),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( $equal(multiply(inverse(X_17),multiply(inverse(X_16),X_17)),inverse(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(X_13),multiply(inverse(X_22),X_13)) = inverse(X_22),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_22)),bind(X_17,$fot(X_13))]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_13),multiply(inverse(X_22),X_13)) != inverse(X_22)
| double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))),X_13) ),[0,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_46,plain,
( double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(X_22)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_13),multiply(inverse(X_22),X_13)),inverse(multiply(inverse(X_22),X_13))),X_13) )],[refute_0_38,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(inverse(X_25),inverse(multiply(inverse(X_25),multiply(inverse(X_16),X_25)))) = multiply(inverse(X_16),X_25),
inference(subst,[],[refute_0_47:[bind(X_13,$fot(multiply(inverse(X_16),X_25))),bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_49,plain,
multiply(inverse(X_25),multiply(inverse(X_16),X_25)) = inverse(X_16),
inference(subst,[],[refute_0_43:[bind(X_17,$fot(X_25))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(X_25),multiply(inverse(X_16),X_25)) != inverse(X_16)
| double_divide(inverse(X_25),inverse(multiply(inverse(X_25),multiply(inverse(X_16),X_25)))) != multiply(inverse(X_16),X_25)
| double_divide(inverse(X_25),inverse(inverse(X_16))) = multiply(inverse(X_16),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_25),inverse(multiply(inverse(X_25),multiply(inverse(X_16),X_25)))),multiply(inverse(X_16),X_25)) ),[0,1,0],$fot(inverse(X_16))]]) ).
cnf(refute_0_51,plain,
( double_divide(inverse(X_25),inverse(multiply(inverse(X_25),multiply(inverse(X_16),X_25)))) != multiply(inverse(X_16),X_25)
| double_divide(inverse(X_25),inverse(inverse(X_16))) = multiply(inverse(X_16),X_25) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),multiply(inverse(X_16),X_25)),inverse(X_16)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(inverse(X_25),inverse(inverse(X_16))) = multiply(inverse(X_16),X_25),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_25),inverse(multiply(inverse(X_25),multiply(inverse(X_16),X_25)))),multiply(inverse(X_16),X_25)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(inverse(X_35),inverse(inverse(double_divide(B,A)))) = multiply(inverse(double_divide(B,A)),X_35),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(double_divide(B,A))),bind(X_25,$fot(X_35))]]) ).
cnf(refute_0_54,plain,
( double_divide(inverse(X_35),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_35)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_35),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_35)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_55,plain,
( double_divide(inverse(X_35),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_35)
| double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_35) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_35),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_35),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_35)) )],[refute_0_53,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(double_divide(B,A)),X_35) = multiply(inverse(double_divide(B,A)),X_35),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(B,A)),X_35))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(double_divide(B,A)),X_35) != multiply(inverse(double_divide(B,A)),X_35)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_35) = multiply(multiply(A,B),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_35),multiply(inverse(double_divide(B,A)),X_35)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_59,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_35) = multiply(multiply(A,B),X_35) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_35),multiply(inverse(double_divide(B,A)),X_35)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(double_divide(B,A)),X_35) = multiply(multiply(A,B),X_35),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(inverse(double_divide(B,A)),X_35) != multiply(multiply(A,B),X_35)
| double_divide(inverse(X_35),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_35)
| double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(multiply(A,B),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_35),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_35)) ),[1],$fot(multiply(multiply(A,B),X_35))]]) ).
cnf(refute_0_62,plain,
( double_divide(inverse(X_35),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_35)
| double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(multiply(A,B),X_35) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_35),multiply(multiply(A,B),X_35)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(inverse(X_35),inverse(multiply(A,B))) = multiply(multiply(A,B),X_35),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_35),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_35)) )],[refute_0_56,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) = multiply(multiply(inverse(X_22),X_13),X_22),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_22))),bind(B,$fot(X_13)),bind(X_35,$fot(X_22))]]) ).
cnf(refute_0_65,plain,
( double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != X_13
| double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != multiply(multiply(inverse(X_22),X_13),X_22)
| multiply(multiply(inverse(X_22),X_13),X_22) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),X_13) ),[0],$fot(multiply(multiply(inverse(X_22),X_13),X_22))]]) ).
cnf(refute_0_66,plain,
( double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))) != X_13
| multiply(multiply(inverse(X_22),X_13),X_22) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),multiply(multiply(inverse(X_22),X_13),X_22)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(multiply(inverse(X_22),X_13),X_22) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(inverse(X_22),X_13))),X_13) )],[refute_0_47,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),X_22) = multiply(inverse(X_46),X_46),
inference(subst,[],[refute_0_67:[bind(X_13,$fot(multiply(inverse(X_46),X_46)))]]) ).
cnf(refute_0_69,plain,
multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))))),X_5) = inverse(X_7),
inference(subst,[],[refute_0_33:[bind(B,$fot(X_5)),bind(X_3,$fot(multiply(B,multiply(inverse(C),double_divide(X_5,B))))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_70,plain,
double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_5))]]) ).
cnf(refute_0_71,plain,
( multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))))),X_5) != inverse(X_7)
| double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))) != C
| multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),C)),X_5) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))))),X_5),inverse(X_7)) ),[0,0,1,1],$fot(C)]]) ).
cnf(refute_0_72,plain,
( multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))))),X_5) != inverse(X_7)
| multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),C)),X_5) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))),C) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),C)),X_5) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(B,multiply(inverse(C),double_divide(X_5,B))),multiply(inverse(X_7),double_divide(X_5,multiply(B,multiply(inverse(C),double_divide(X_5,B)))))),X_5),inverse(X_7)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),double_divide(multiply(inverse(X_45),X_45),inverse(X_44)))),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = inverse(X_7),
inference(subst,[],[refute_0_73:[bind(B,$fot(inverse(X_44))),bind(X_5,$fot(multiply(inverse(X_45),X_45)))]]) ).
cnf(refute_0_75,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(multiply(inverse(X_16),X_17))),bind(B,$fot(inverse(X_17)))]]) ).
cnf(refute_0_76,plain,
( double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))) != C
| double_divide(multiply(inverse(X_16),X_17),inverse(X_17)) != X_16
| double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C ),
introduced(tautology,[equality,[$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_77,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( $equal(double_divide(multiply(inverse(X_16),X_17),inverse(X_17)),X_16) )],[refute_0_40,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),X_16))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_16),X_17),multiply(inverse(X_17),multiply(inverse(C),double_divide(multiply(inverse(X_16),X_17),inverse(X_17))))),C) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
double_divide(multiply(inverse(X_42),X_42),multiply(inverse(X_42),multiply(inverse(X_41),X_42))) = X_41,
inference(subst,[],[refute_0_78:[bind(C,$fot(X_41)),bind(X_16,$fot(X_42)),bind(X_17,$fot(X_42))]]) ).
cnf(refute_0_80,plain,
multiply(inverse(X_42),multiply(inverse(X_41),X_42)) = inverse(X_41),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_41)),bind(X_17,$fot(X_42))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(X_42),multiply(inverse(X_41),X_42)) != inverse(X_41)
| double_divide(multiply(inverse(X_42),X_42),multiply(inverse(X_42),multiply(inverse(X_41),X_42))) != X_41
| double_divide(multiply(inverse(X_42),X_42),inverse(X_41)) = X_41 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_42),X_42),multiply(inverse(X_42),multiply(inverse(X_41),X_42))),X_41) ),[0,1],$fot(inverse(X_41))]]) ).
cnf(refute_0_82,plain,
( double_divide(multiply(inverse(X_42),X_42),multiply(inverse(X_42),multiply(inverse(X_41),X_42))) != X_41
| double_divide(multiply(inverse(X_42),X_42),inverse(X_41)) = X_41 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),multiply(inverse(X_41),X_42)),inverse(X_41)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(multiply(inverse(X_42),X_42),inverse(X_41)) = X_41,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_42),X_42),multiply(inverse(X_42),multiply(inverse(X_41),X_42))),X_41) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(multiply(inverse(X_45),X_45),inverse(X_44)) = X_44,
inference(subst,[],[refute_0_83:[bind(X_41,$fot(X_44)),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_85,plain,
( multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),double_divide(multiply(inverse(X_45),X_45),inverse(X_44)))),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != inverse(X_7)
| double_divide(multiply(inverse(X_45),X_45),inverse(X_44)) != X_44
| multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),double_divide(multiply(inverse(X_45),X_45),inverse(X_44)))),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),inverse(X_7)) ),[0,0,0,1,1],$fot(X_44)]]) ).
cnf(refute_0_86,plain,
( multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),double_divide(multiply(inverse(X_45),X_45),inverse(X_44)))),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != inverse(X_7)
| multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_45),X_45),inverse(X_44)),X_44) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),double_divide(multiply(inverse(X_45),X_45),inverse(X_44)))),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),inverse(X_7)) )],[refute_0_74,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(C),multiply(inverse(X_7),C)) = inverse(X_7),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(X_7)),bind(X_17,$fot(C))]]) ).
cnf(refute_0_89,plain,
multiply(inverse(X_44),multiply(inverse(C),X_44)) = inverse(C),
inference(subst,[],[refute_0_43:[bind(X_16,$fot(C)),bind(X_17,$fot(X_44))]]) ).
cnf(refute_0_90,plain,
multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)))]]) ).
cnf(refute_0_91,plain,
( multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) != multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C))
| multiply(inverse(X_44),multiply(inverse(C),X_44)) != inverse(C)
| multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = multiply(inverse(C),multiply(inverse(X_7),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C))) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_92,plain,
( multiply(inverse(X_44),multiply(inverse(C),X_44)) != inverse(C)
| multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = multiply(inverse(C),multiply(inverse(X_7),C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = multiply(inverse(C),multiply(inverse(X_7),C)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),multiply(inverse(C),X_44)),inverse(C)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) != multiply(inverse(C),multiply(inverse(X_7),C))
| multiply(inverse(C),multiply(inverse(X_7),C)) != inverse(X_7)
| multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = inverse(X_7) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)))),bind(Y,$fot(multiply(inverse(C),multiply(inverse(X_7),C)))),bind(Z,$fot(inverse(X_7)))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(C),multiply(inverse(X_7),C)) != inverse(X_7)
| multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(C),multiply(inverse(X_7),C))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_7),C)),inverse(X_7)) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)))]]) ).
cnf(refute_0_98,plain,
( multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45))
| multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) != inverse(X_7)
| multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = multiply(inverse(X_7),multiply(inverse(X_45),X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45))) ),[1,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_99,plain,
( multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)) != inverse(X_7)
| multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = multiply(inverse(X_7),multiply(inverse(X_45),X_45)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) = multiply(inverse(X_7),multiply(inverse(X_45),X_45)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),inverse(X_7)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
( multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != multiply(inverse(X_7),multiply(inverse(X_45),X_45))
| multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != inverse(X_7)
| multiply(inverse(X_7),multiply(inverse(X_45),X_45)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),inverse(X_7)) ),[0],$fot(multiply(inverse(X_7),multiply(inverse(X_45),X_45)))]]) ).
cnf(refute_0_102,plain,
( multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)) != inverse(X_7)
| multiply(inverse(X_7),multiply(inverse(X_45),X_45)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),multiply(inverse(X_7),multiply(inverse(X_45),X_45))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(inverse(X_7),multiply(inverse(X_45),X_45)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_44),multiply(inverse(C),X_44)),multiply(inverse(X_7),C)),multiply(inverse(X_45),X_45)),inverse(X_7)) )],[refute_0_87,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(inverse(X_22),multiply(inverse(X_46),X_46)) = inverse(X_22),
inference(subst,[],[refute_0_103:[bind(X_45,$fot(X_46)),bind(X_7,$fot(X_22))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),X_22) != multiply(inverse(X_46),X_46)
| multiply(inverse(X_22),multiply(inverse(X_46),X_46)) != inverse(X_22)
| multiply(inverse(X_22),X_22) = multiply(inverse(X_46),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),X_22),multiply(inverse(X_46),X_46)) ),[0,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_106,plain,
( multiply(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),X_22) != multiply(inverse(X_46),X_46)
| multiply(inverse(X_22),X_22) = multiply(inverse(X_46),X_46) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),inverse(X_22)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(inverse(X_22),X_22) = multiply(inverse(X_46),X_46),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_22),multiply(inverse(X_46),X_46)),X_22),multiply(inverse(X_46),X_46)) )],[refute_0_68,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(inverse(a1),a1) = multiply(inverse(X_51),X_51),
inference(subst,[],[refute_0_107:[bind(X_22,$fot(a1)),bind(X_46,$fot(X_51))]]) ).
cnf(refute_0_109,plain,
( multiply(inverse(X_51),X_51) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(inverse(X_51),X_51)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_51),X_51)) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_110,plain,
( multiply(inverse(X_51),X_51) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_51),X_51)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(inverse(X_51),X_51) != multiply(inverse(b1),b1),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_110,prove_these_axioms_1]) ).
cnf(refute_0_112,plain,
( multiply(inverse(X_22),X_22) != multiply(inverse(X_46),X_46)
| multiply(inverse(X_46),X_46) = multiply(inverse(X_22),X_22) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_22),X_22))),bind(Y,$fot(multiply(inverse(X_46),X_46)))]]) ).
cnf(refute_0_113,plain,
multiply(inverse(X_46),X_46) = multiply(inverse(X_22),X_22),
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),X_22),multiply(inverse(X_46),X_46)) )],[refute_0_107,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(inverse(X_51),X_51) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_113:[bind(X_22,$fot(b1)),bind(X_46,$fot(X_51))]]) ).
cnf(refute_0_115,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),X_51),multiply(inverse(b1),b1)) )],[refute_0_114,refute_0_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP585-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 14:03:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43
% 0.19/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47
%------------------------------------------------------------------------------