TSTP Solution File: GRP597-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP597-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:43:09 EDT 2022
% Result : Unsatisfiable 0.53s 0.71s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 80
% Syntax : Number of clauses : 282 ( 145 unt; 0 nHn; 133 RR)
% Number of literals : 485 ( 484 equ; 206 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 650 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(refute_0_0,plain,
multiply(inverse(X_101),B) = inverse(double_divide(B,inverse(X_101))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_101)))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(inverse(C),B)) = multiply(B,inverse(C)),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_7,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(inverse(double_divide(inverse(C),B)),A),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(C),B)),A))]]) ).
cnf(refute_0_8,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(inverse(double_divide(inverse(C),B)),A)
| inverse(double_divide(inverse(C),B)) != multiply(B,inverse(C))
| multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(inverse(double_divide(inverse(C),B)),A)) ),[1,0],$fot(multiply(B,inverse(C)))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(inverse(C),B)) != multiply(B,inverse(C))
| multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(C),B)),multiply(B,inverse(C))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(inverse(double_divide(inverse(C),B)),A),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(double_divide(inverse(C),B)))),bind(B,$fot(A))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(multiply(B,inverse(C)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(inverse(double_divide(inverse(C),B)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))),bind(Y,$fot(multiply(inverse(double_divide(inverse(C),B)),A))),bind(Z,$fot(multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_15,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(multiply(B,inverse(C)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(multiply(B,inverse(C)),A)) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))))]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(multiply(B,inverse(C)),A)
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))) ),[1,1],$fot(multiply(multiply(B,inverse(C)),A))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(multiply(B,inverse(C)),A)
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(multiply(B,inverse(C)),A)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != C
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) ),[0],$fot(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != C
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(inverse(C),X_6))),bind(B,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_25,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(multiply(X_3,inverse(X_4)),X_2))),bind(B,$fot(double_divide(X_2,X_3)))]]) ).
cnf(refute_0_26,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_27,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) != inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) != X_4
| multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_28,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) != inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))
| multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(inverse(C))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_31,plain,
( multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) != inverse(X_7)
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) ),[0,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_32,plain,
( double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)),inverse(X_7)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) )],[refute_0_24,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C,
inference(subst,[],[refute_0_33:[bind(X_6,$fot(multiply(inverse(X_82),X_82)))]]) ).
cnf(refute_0_35,plain,
double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(X_2,X_3))),bind(B,$fot(multiply(multiply(X_3,inverse(X_4)),X_2)))]]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) != X_4
| double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) != C
| double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) ),[0,0],$fot(X_4)]]) ).
cnf(refute_0_37,plain,
( double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) != C
| double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_26,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = C,
inference(subst,[],[refute_0_38:[bind(X_2,$fot(double_divide(X_26,X_27))),bind(X_3,$fot(multiply(multiply(X_27,inverse(inverse(C))),X_26)))]]) ).
cnf(refute_0_40,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) = inverse(X_7),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(double_divide(A,B))),bind(X_3,$fot(multiply(multiply(B,inverse(C)),A))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) != inverse(X_7)
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) != C
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) ),[0,1],$fot(C)]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) != inverse(X_7)
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),C) )],[refute_0_23,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)) = inverse(X_4),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(C,$fot(inverse(C))),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)) != inverse(X_4)
| double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),C) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_46,plain,
( double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),inverse(X_4)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(C))),X_26),inverse(X_4)),double_divide(X_26,X_27)),inverse(C)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),C) )],[refute_0_39,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)) = inverse(C),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(C,$fot(inverse(C)))]]) ).
cnf(refute_0_49,plain,
multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) = multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) != multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))
| double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) = multiply(inverse(X_4),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))),multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_51,plain,
( double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) = multiply(inverse(X_4),inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))),multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) = multiply(inverse(X_4),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)),inverse(C)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),
introduced(tautology,[refl,[$fot(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))))) ),[1,1],$fot(multiply(inverse(X_4),inverse(C)))]]) ).
cnf(refute_0_55,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26))),multiply(inverse(X_4),inverse(C))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != double_divide(X_4,multiply(inverse(X_4),inverse(C)))
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),C) ),[0],$fot(double_divide(X_4,multiply(inverse(X_4),inverse(C))))]]) ).
cnf(refute_0_58,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))) != C
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),double_divide(X_4,multiply(inverse(X_4),inverse(C)))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(C))),X_26)))),C) )],[refute_0_47,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) = C,
inference(subst,[],[refute_0_59:[bind(X_4,$fot(double_divide(X_80,inverse(X_80))))]]) ).
cnf(refute_0_61,plain,
double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_62,plain,
multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = inverse(X_7),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(X_26,X_27))),bind(B,$fot(multiply(multiply(X_27,inverse(inverse(X_7))),X_26)))]]) ).
cnf(refute_0_63,plain,
multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)) = inverse(C),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(C,$fot(inverse(X_7))),bind(X_7,$fot(C))]]) ).
cnf(refute_0_64,plain,
( multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)) != inverse(C)
| multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),inverse(X_7)) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_65,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),inverse(C)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_27,inverse(inverse(X_7))),X_26),inverse(C)),double_divide(X_26,X_27)),inverse(X_7)),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),inverse(X_7)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)) = inverse(X_7),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_68,plain,
multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) = multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),
introduced(tautology,[refl,[$fot(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))))]]) ).
cnf(refute_0_69,plain,
( multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) != multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)))
| double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) = multiply(inverse(C),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_70,plain,
( double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) = multiply(inverse(C),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) = multiply(inverse(C),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26)),inverse(X_7)) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C))]]) ).
cnf(refute_0_73,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C)
| multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C)) ),[1,0],$fot(multiply(inverse(C),inverse(X_7)))]]) ).
cnf(refute_0_74,plain,
( multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) = multiply(multiply(inverse(C),inverse(X_7)),C),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),multiply(inverse(C),inverse(X_7))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != multiply(multiply(inverse(C),inverse(X_7)),C)
| multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(C),inverse(X_7)),C))]]) ).
cnf(refute_0_77,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),multiply(multiply(inverse(C),inverse(X_7)),C)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_26,X_27),multiply(multiply(X_27,inverse(inverse(X_7))),X_26))),C),inverse(X_7)) )],[refute_0_66,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(multiply(inverse(A),inverse(C)),A) = inverse(C),
inference(subst,[],[refute_0_78:[bind(C,$fot(A)),bind(X_7,$fot(C))]]) ).
cnf(refute_0_80,plain,
( multiply(multiply(inverse(A),inverse(C)),A) != inverse(C)
| double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) != C
| double_divide(double_divide(A,inverse(A)),inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)),C) ),[0,1],$fot(inverse(C))]]) ).
cnf(refute_0_81,plain,
( double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) != C
| double_divide(double_divide(A,inverse(A)),inverse(C)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(A),inverse(C)),A),inverse(C)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(double_divide(A,inverse(A)),inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)),C) )],[refute_0_61,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(double_divide(X_34,inverse(X_34)),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_82:[bind(A,$fot(X_34)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_84,plain,
( double_divide(double_divide(X_34,inverse(X_34)),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_34,inverse(X_34)),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_34,inverse(X_34)),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_85,plain,
( double_divide(double_divide(X_34,inverse(X_34)),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(double_divide(X_34,inverse(X_34)),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(X_34,inverse(X_34)),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_34,inverse(X_34)),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) = double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),
inference(subst,[],[refute_0_86:[bind(A,$fot(inverse(double_divide(X_80,inverse(X_80))))),bind(B,$fot(inverse(C))),bind(X_34,$fot(X_80))]]) ).
cnf(refute_0_88,plain,
( double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) != C
| double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) != double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))),C) ),[0],$fot(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))))]]) ).
cnf(refute_0_89,plain,
( double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) != C
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))),double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))),C) )],[refute_0_60,refute_0_89]) ).
cnf(refute_0_91,plain,
inverse(double_divide(X_80,inverse(X_80))) = multiply(inverse(X_80),X_80),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_80))),bind(B,$fot(X_80))]]) ).
cnf(refute_0_92,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))))]]) ).
cnf(refute_0_93,plain,
( double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))
| inverse(double_divide(X_80,inverse(X_80))) != multiply(inverse(X_80),X_80)
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),multiply(inverse(X_80),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))) ),[1,1],$fot(multiply(inverse(X_80),X_80))]]) ).
cnf(refute_0_94,plain,
( inverse(double_divide(X_80,inverse(X_80))) != multiply(inverse(X_80),X_80)
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),multiply(inverse(X_80),X_80)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),multiply(inverse(X_80),X_80)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_80,inverse(X_80))),multiply(inverse(X_80),X_80)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != C
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != double_divide(inverse(C),multiply(inverse(X_80),X_80))
| double_divide(inverse(C),multiply(inverse(X_80),X_80)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),C) ),[0],$fot(double_divide(inverse(C),multiply(inverse(X_80),X_80)))]]) ).
cnf(refute_0_97,plain,
( double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != C
| double_divide(inverse(C),multiply(inverse(X_80),X_80)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),double_divide(inverse(C),multiply(inverse(X_80),X_80))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(inverse(C),multiply(inverse(X_80),X_80)) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),C) )],[refute_0_90,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(inverse(C),multiply(inverse(X_82),X_82)) = C,
inference(subst,[],[refute_0_98:[bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_100,plain,
( double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(inverse(C),multiply(inverse(X_82),X_82)) != C
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) ),[0,0,0],$fot(C)]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(inverse(X_82),X_82)),C) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) )],[refute_0_34,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(inverse(X_82),X_82))),bind(B,$fot(inverse(X_81)))]]) ).
cnf(refute_0_104,plain,
double_divide(inverse(X_81),multiply(inverse(X_82),X_82)) = X_81,
inference(subst,[],[refute_0_98:[bind(C,$fot(X_81)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_81)) != inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))
| double_divide(inverse(X_81),multiply(inverse(X_82),X_82)) != X_81
| multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(X_81) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))) ),[1,0],$fot(X_81)]]) ).
cnf(refute_0_106,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_81)) != inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))
| multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(X_81) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)),X_81) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(X_81),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_7)) = inverse(X_7),
inference(subst,[],[refute_0_107:[bind(X_81,$fot(X_7))]]) ).
cnf(refute_0_109,plain,
double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),
introduced(tautology,[refl,[$fot(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))]]) ).
cnf(refute_0_110,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_7)) != inverse(X_7)
| double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))
| double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_111,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_7)) != inverse(X_7)
| double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,inverse(X_7)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_7)),inverse(X_7)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)))]]) ).
cnf(refute_0_114,plain,
( double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(C,inverse(X_7))
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7))
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7))) ),[1,0],$fot(double_divide(C,inverse(X_7)))]]) ).
cnf(refute_0_115,plain,
( double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(C,inverse(X_7))
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,inverse(X_7)),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(C,inverse(X_7))) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != double_divide(double_divide(C,inverse(X_7)),inverse(X_7))
| double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) ),[0],$fot(double_divide(double_divide(C,inverse(X_7)),inverse(X_7)))]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),double_divide(double_divide(C,inverse(X_7)),inverse(X_7))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) )],[refute_0_102,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_56))),
inference(subst,[],[refute_0_119:[bind(C,$fot(double_divide(inverse(X_84),inverse(inverse(X_56))))),bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_121,plain,
double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))) = X_30,
inference(subst,[],[refute_0_59:[bind(C,$fot(X_30)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_122,plain,
( double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))) != X_30
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(B,A),multiply(multiply(A,B),inverse(X_30))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))),X_30) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_123,plain,
( double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))) != X_30
| double_divide(double_divide(B,A),multiply(multiply(A,B),inverse(X_30))) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(double_divide(B,A),multiply(multiply(A,B),inverse(X_30))) = X_30,
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))),X_30) )],[refute_0_121,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56))) = X_56,
inference(subst,[],[refute_0_124:[bind(A,$fot(inverse(inverse(X_56)))),bind(B,$fot(inverse(X_7))),bind(X_30,$fot(X_56))]]) ).
cnf(refute_0_126,plain,
multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56)) = inverse(X_7),
inference(subst,[],[refute_0_78:[bind(C,$fot(inverse(X_56)))]]) ).
cnf(refute_0_127,plain,
( multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56)) != inverse(X_7)
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56))) != X_56
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56))),X_56) ),[0,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_128,plain,
( double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56))) != X_56
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = X_56 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56)),inverse(X_7)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),multiply(multiply(inverse(inverse(X_56)),inverse(X_7)),inverse(X_56))),X_56) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)) = X_56,
inference(subst,[],[refute_0_129:[bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_131,plain,
( double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_56)))
| double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)) != X_56
| double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_56)))) ),[0,0],$fot(X_56)]]) ).
cnf(refute_0_132,plain,
( double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_56)))
| double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_56))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),X_56) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_56))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_56))),inverse(X_84)),inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_56)))) )],[refute_0_120,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))) = X_56,
inference(subst,[],[refute_0_129:[bind(X_7,$fot(inverse(X_56)))]]) ).
cnf(refute_0_135,plain,
double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))) = inverse(inverse(X_56)),
inference(subst,[],[refute_0_119:[bind(C,$fot(inverse(inverse(X_56)))),bind(X_7,$fot(inverse(X_56)))]]) ).
cnf(refute_0_136,plain,
( double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))) != X_56
| double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))) != inverse(inverse(X_56))
| inverse(inverse(X_56)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))),X_56) ),[0],$fot(inverse(inverse(X_56)))]]) ).
cnf(refute_0_137,plain,
( double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))) != X_56
| inverse(inverse(X_56)) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))),inverse(inverse(X_56))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(inverse(X_56)) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_56)),inverse(inverse(X_56))),inverse(inverse(X_56))),X_56) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(inverse(X_84),inverse(inverse(X_56))) = double_divide(inverse(X_84),inverse(inverse(X_56))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_84),inverse(inverse(X_56))))]]) ).
cnf(refute_0_140,plain,
( double_divide(inverse(X_84),inverse(inverse(X_56))) != double_divide(inverse(X_84),inverse(inverse(X_56)))
| inverse(inverse(X_56)) != X_56
| double_divide(inverse(X_84),inverse(inverse(X_56))) = double_divide(inverse(X_84),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_56))),double_divide(inverse(X_84),inverse(inverse(X_56)))) ),[1,1],$fot(X_56)]]) ).
cnf(refute_0_141,plain,
( inverse(inverse(X_56)) != X_56
| double_divide(inverse(X_84),inverse(inverse(X_56))) = double_divide(inverse(X_84),X_56) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_56))),double_divide(inverse(X_84),inverse(inverse(X_56)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(inverse(X_84),inverse(inverse(X_56))) = double_divide(inverse(X_84),X_56),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(X_56,inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_56)))
| double_divide(inverse(X_84),inverse(inverse(X_56))) != double_divide(inverse(X_84),X_56)
| double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),X_56) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_56,inverse(X_84)),double_divide(inverse(X_84),X_56)) ),[0],$fot(double_divide(inverse(X_84),inverse(inverse(X_56))))]]) ).
cnf(refute_0_144,plain,
( double_divide(X_56,inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_56)))
| double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),X_56) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_56))),double_divide(inverse(X_84),X_56)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(X_56,inverse(X_84)) = double_divide(inverse(X_84),X_56),
inference(resolve,[$cnf( $equal(double_divide(X_56,inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_56)))) )],[refute_0_133,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(B,inverse(X_101)) = double_divide(inverse(X_101),B),
inference(subst,[],[refute_0_145:[bind(X_56,$fot(B)),bind(X_84,$fot(X_101))]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(X_101),B) != inverse(double_divide(B,inverse(X_101)))
| double_divide(B,inverse(X_101)) != double_divide(inverse(X_101),B)
| multiply(inverse(X_101),B) = inverse(double_divide(inverse(X_101),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_101),B),inverse(double_divide(B,inverse(X_101)))) ),[1,0],$fot(double_divide(inverse(X_101),B))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(X_101),B) != inverse(double_divide(B,inverse(X_101)))
| multiply(inverse(X_101),B) = inverse(double_divide(inverse(X_101),B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(X_101)),double_divide(inverse(X_101),B)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(inverse(X_101),B) = inverse(double_divide(inverse(X_101),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_101),B),inverse(double_divide(B,inverse(X_101)))) )],[refute_0_0,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(double_divide(inverse(X_101),B)) = multiply(B,inverse(X_101)),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(inverse(X_101)))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(X_101),B) != inverse(double_divide(inverse(X_101),B))
| inverse(double_divide(inverse(X_101),B)) != multiply(B,inverse(X_101))
| multiply(inverse(X_101),B) = multiply(B,inverse(X_101)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_101),B),multiply(B,inverse(X_101))) ),[0],$fot(inverse(double_divide(inverse(X_101),B)))]]) ).
cnf(refute_0_152,plain,
( multiply(inverse(X_101),B) != inverse(double_divide(inverse(X_101),B))
| multiply(inverse(X_101),B) = multiply(B,inverse(X_101)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_101),B)),multiply(B,inverse(X_101))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(X_101),B) = multiply(B,inverse(X_101)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_101),B),inverse(double_divide(inverse(X_101),B))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_153:[bind(B,$fot(a1)),bind(X_101,$fot(a1))]]) ).
cnf(refute_0_155,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_156,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_153:[bind(B,$fot(b1)),bind(X_101,$fot(b1))]]) ).
cnf(refute_0_158,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_159,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_159,refute_0_156]) ).
cnf(refute_0_161,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_160,prove_these_axioms_1]) ).
cnf(refute_0_162,plain,
multiply(inverse(B),B) = inverse(double_divide(B,inverse(B))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_163,plain,
double_divide(double_divide(double_divide(A,inverse(A)),inverse(X_84)),inverse(X_84)) = double_divide(A,inverse(A)),
inference(subst,[],[refute_0_119:[bind(C,$fot(double_divide(A,inverse(A)))),bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_164,plain,
double_divide(double_divide(A,inverse(A)),inverse(X_84)) = X_84,
inference(subst,[],[refute_0_82:[bind(C,$fot(X_84))]]) ).
cnf(refute_0_165,plain,
( double_divide(double_divide(A,inverse(A)),inverse(X_84)) != X_84
| double_divide(double_divide(double_divide(A,inverse(A)),inverse(X_84)),inverse(X_84)) != double_divide(A,inverse(A))
| double_divide(X_84,inverse(X_84)) = double_divide(A,inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(A,inverse(A)),inverse(X_84)),inverse(X_84)),double_divide(A,inverse(A))) ),[0,0],$fot(X_84)]]) ).
cnf(refute_0_166,plain,
( double_divide(double_divide(double_divide(A,inverse(A)),inverse(X_84)),inverse(X_84)) != double_divide(A,inverse(A))
| double_divide(X_84,inverse(X_84)) = double_divide(A,inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),inverse(X_84)),X_84) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
double_divide(X_84,inverse(X_84)) = double_divide(A,inverse(A)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,inverse(A)),inverse(X_84)),inverse(X_84)),double_divide(A,inverse(A))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(B,inverse(B)) = double_divide(X_106,inverse(X_106)),
inference(subst,[],[refute_0_167:[bind(A,$fot(X_106)),bind(X_84,$fot(B))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(B),B) != inverse(double_divide(B,inverse(B)))
| double_divide(B,inverse(B)) != double_divide(X_106,inverse(X_106))
| multiply(inverse(B),B) = inverse(double_divide(X_106,inverse(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(B,inverse(B)))) ),[1,0],$fot(double_divide(X_106,inverse(X_106)))]]) ).
cnf(refute_0_170,plain,
( multiply(inverse(B),B) != inverse(double_divide(B,inverse(B)))
| multiply(inverse(B),B) = inverse(double_divide(X_106,inverse(X_106))) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(B)),double_divide(X_106,inverse(X_106))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(inverse(B),B) = inverse(double_divide(X_106,inverse(X_106))),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(B,inverse(B)))) )],[refute_0_162,refute_0_170]) ).
cnf(refute_0_172,plain,
double_divide(X_100,inverse(inverse(X_56))) = double_divide(inverse(inverse(X_56)),X_100),
inference(subst,[],[refute_0_145:[bind(X_56,$fot(X_100)),bind(X_84,$fot(inverse(X_56)))]]) ).
cnf(refute_0_173,plain,
( double_divide(X_100,inverse(inverse(X_56))) != double_divide(inverse(inverse(X_56)),X_100)
| inverse(inverse(X_56)) != X_56
| double_divide(X_100,X_56) = double_divide(inverse(inverse(X_56)),X_100) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_100,inverse(inverse(X_56))),double_divide(inverse(inverse(X_56)),X_100)) ),[0,1],$fot(X_56)]]) ).
cnf(refute_0_174,plain,
( double_divide(X_100,inverse(inverse(X_56))) != double_divide(inverse(inverse(X_56)),X_100)
| double_divide(X_100,X_56) = double_divide(inverse(inverse(X_56)),X_100) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(X_100,X_56) = double_divide(inverse(inverse(X_56)),X_100),
inference(resolve,[$cnf( $equal(double_divide(X_100,inverse(inverse(X_56))),double_divide(inverse(inverse(X_56)),X_100)) )],[refute_0_172,refute_0_174]) ).
cnf(refute_0_176,plain,
double_divide(inverse(inverse(X_56)),X_100) = double_divide(inverse(inverse(X_56)),X_100),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_56)),X_100))]]) ).
cnf(refute_0_177,plain,
( double_divide(inverse(inverse(X_56)),X_100) != double_divide(inverse(inverse(X_56)),X_100)
| inverse(inverse(X_56)) != X_56
| double_divide(inverse(inverse(X_56)),X_100) = double_divide(X_56,X_100) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_56)),X_100),double_divide(inverse(inverse(X_56)),X_100)) ),[1,0],$fot(X_56)]]) ).
cnf(refute_0_178,plain,
( inverse(inverse(X_56)) != X_56
| double_divide(inverse(inverse(X_56)),X_100) = double_divide(X_56,X_100) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),X_100),double_divide(inverse(inverse(X_56)),X_100)) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
double_divide(inverse(inverse(X_56)),X_100) = double_divide(X_56,X_100),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_178]) ).
cnf(refute_0_180,plain,
( double_divide(X_100,X_56) != double_divide(inverse(inverse(X_56)),X_100)
| double_divide(inverse(inverse(X_56)),X_100) != double_divide(X_56,X_100)
| double_divide(X_100,X_56) = double_divide(X_56,X_100) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_100,X_56),double_divide(X_56,X_100)) ),[0],$fot(double_divide(inverse(inverse(X_56)),X_100))]]) ).
cnf(refute_0_181,plain,
( double_divide(X_100,X_56) != double_divide(inverse(inverse(X_56)),X_100)
| double_divide(X_100,X_56) = double_divide(X_56,X_100) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),X_100),double_divide(X_56,X_100)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
double_divide(X_100,X_56) = double_divide(X_56,X_100),
inference(resolve,[$cnf( $equal(double_divide(X_100,X_56),double_divide(inverse(inverse(X_56)),X_100)) )],[refute_0_175,refute_0_181]) ).
cnf(refute_0_183,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_182:[bind(X_100,$fot(B)),bind(X_56,$fot(A))]]) ).
cnf(refute_0_184,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_185,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_185]) ).
cnf(refute_0_187,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_188,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_189,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_192,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(inverse(B),B) = multiply(B,inverse(B)),
inference(subst,[],[refute_0_192:[bind(A,$fot(B)),bind(B,$fot(inverse(B)))]]) ).
cnf(refute_0_194,plain,
( multiply(inverse(B),B) != multiply(B,inverse(B))
| multiply(inverse(B),B) != inverse(double_divide(X_106,inverse(X_106)))
| multiply(B,inverse(B)) = inverse(double_divide(X_106,inverse(X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(X_106,inverse(X_106)))) ),[0],$fot(multiply(B,inverse(B)))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(B),B) != inverse(double_divide(X_106,inverse(X_106)))
| multiply(B,inverse(B)) = inverse(double_divide(X_106,inverse(X_106))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),multiply(B,inverse(B))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(inverse(X_106),X_106) = multiply(X_106,inverse(X_106)),
inference(subst,[],[refute_0_192:[bind(A,$fot(X_106)),bind(B,$fot(inverse(X_106)))]]) ).
cnf(refute_0_197,plain,
inverse(double_divide(X_106,inverse(X_106))) = multiply(inverse(X_106),X_106),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_106))),bind(B,$fot(X_106))]]) ).
cnf(refute_0_198,plain,
( multiply(inverse(X_106),X_106) != multiply(X_106,inverse(X_106))
| inverse(double_divide(X_106,inverse(X_106))) != multiply(inverse(X_106),X_106)
| inverse(double_divide(X_106,inverse(X_106))) = multiply(X_106,inverse(X_106)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(X_106,inverse(X_106))))),bind(Y,$fot(multiply(inverse(X_106),X_106))),bind(Z,$fot(multiply(X_106,inverse(X_106))))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(X_106),X_106) != multiply(X_106,inverse(X_106))
| inverse(double_divide(X_106,inverse(X_106))) = multiply(X_106,inverse(X_106)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_106,inverse(X_106))),multiply(inverse(X_106),X_106)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(double_divide(X_106,inverse(X_106))) = multiply(X_106,inverse(X_106)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_106),X_106),multiply(X_106,inverse(X_106))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(B,inverse(B)) != inverse(double_divide(X_106,inverse(X_106)))
| inverse(double_divide(X_106,inverse(X_106))) != multiply(X_106,inverse(X_106))
| multiply(B,inverse(B)) = multiply(X_106,inverse(X_106)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,inverse(B)),multiply(X_106,inverse(X_106))) ),[0],$fot(inverse(double_divide(X_106,inverse(X_106))))]]) ).
cnf(refute_0_202,plain,
( multiply(B,inverse(B)) != inverse(double_divide(X_106,inverse(X_106)))
| multiply(B,inverse(B)) = multiply(X_106,inverse(X_106)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_106,inverse(X_106))),multiply(X_106,inverse(X_106))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( multiply(inverse(B),B) != inverse(double_divide(X_106,inverse(X_106)))
| multiply(B,inverse(B)) = multiply(X_106,inverse(X_106)) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(B)),inverse(double_divide(X_106,inverse(X_106)))) )],[refute_0_195,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(B,inverse(B)) = multiply(X_106,inverse(X_106)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(X_106,inverse(X_106)))) )],[refute_0_171,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(a1,inverse(a1)) = multiply(X_120,inverse(X_120)),
inference(subst,[],[refute_0_204:[bind(B,$fot(a1)),bind(X_106,$fot(X_120))]]) ).
cnf(refute_0_206,plain,
( multiply(X_120,inverse(X_120)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) != multiply(X_120,inverse(X_120))
| multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(X_120,inverse(X_120))) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_207,plain,
( multiply(X_120,inverse(X_120)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(X_120,inverse(X_120))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(X_120,inverse(X_120)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_207,refute_0_161]) ).
cnf(refute_0_209,plain,
multiply(multiply(inverse(C),inverse(inverse(X_85))),C) = inverse(inverse(X_85)),
inference(subst,[],[refute_0_78:[bind(X_7,$fot(inverse(X_85)))]]) ).
cnf(refute_0_210,plain,
inverse(inverse(X_85)) = X_85,
inference(subst,[],[refute_0_138:[bind(X_56,$fot(X_85))]]) ).
cnf(refute_0_211,plain,
( multiply(multiply(inverse(C),inverse(inverse(X_85))),C) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(multiply(inverse(C),X_85),C) = inverse(inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),inverse(inverse(X_85))),C),inverse(inverse(X_85))) ),[0,0,1],$fot(X_85)]]) ).
cnf(refute_0_212,plain,
( multiply(multiply(inverse(C),inverse(inverse(X_85))),C) != inverse(inverse(X_85))
| multiply(multiply(inverse(C),X_85),C) = inverse(inverse(X_85)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(multiply(inverse(C),X_85),C) = inverse(inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),inverse(inverse(X_85))),C),inverse(inverse(X_85))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( multiply(multiply(inverse(C),X_85),C) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(multiply(inverse(C),X_85),C) = X_85 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(C),X_85),C),X_85) ),[0],$fot(inverse(inverse(X_85)))]]) ).
cnf(refute_0_215,plain,
( multiply(multiply(inverse(C),X_85),C) != inverse(inverse(X_85))
| multiply(multiply(inverse(C),X_85),C) = X_85 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_210,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(multiply(inverse(C),X_85),C) = X_85,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_85),C),inverse(inverse(X_85))) )],[refute_0_213,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(multiply(inverse(C),X_85),C) = multiply(C,multiply(inverse(C),X_85)),
inference(subst,[],[refute_0_192:[bind(A,$fot(C)),bind(B,$fot(multiply(inverse(C),X_85)))]]) ).
cnf(refute_0_218,plain,
( multiply(multiply(inverse(C),X_85),C) != X_85
| multiply(multiply(inverse(C),X_85),C) != multiply(C,multiply(inverse(C),X_85))
| multiply(C,multiply(inverse(C),X_85)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),X_85),C),X_85) ),[0],$fot(multiply(C,multiply(inverse(C),X_85)))]]) ).
cnf(refute_0_219,plain,
( multiply(multiply(inverse(C),X_85),C) != X_85
| multiply(C,multiply(inverse(C),X_85)) = X_85 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_85),C),multiply(C,multiply(inverse(C),X_85))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(C,multiply(inverse(C),X_85)) = X_85,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_85),C),X_85) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(C,multiply(inverse(C),double_divide(inverse(C),X_113))) = double_divide(inverse(C),X_113),
inference(subst,[],[refute_0_220:[bind(X_85,$fot(double_divide(inverse(C),X_113)))]]) ).
cnf(refute_0_222,plain,
multiply(double_divide(B,X_97),B) = inverse(double_divide(B,double_divide(B,X_97))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(B,X_97)))]]) ).
cnf(refute_0_223,plain,
double_divide(inverse(X_7),inverse(inverse(X_56))) = double_divide(inverse(X_7),inverse(inverse(X_56))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_7),inverse(inverse(X_56))))]]) ).
cnf(refute_0_224,plain,
( double_divide(inverse(X_7),inverse(inverse(X_56))) != double_divide(inverse(X_7),inverse(inverse(X_56)))
| inverse(inverse(X_56)) != X_56
| double_divide(inverse(X_7),inverse(inverse(X_56))) = double_divide(inverse(X_7),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_7),inverse(inverse(X_56))),double_divide(inverse(X_7),inverse(inverse(X_56)))) ),[1,1],$fot(X_56)]]) ).
cnf(refute_0_225,plain,
( inverse(inverse(X_56)) != X_56
| double_divide(inverse(X_7),inverse(inverse(X_56))) = double_divide(inverse(X_7),X_56) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),inverse(inverse(X_56))),double_divide(inverse(X_7),inverse(inverse(X_56)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(inverse(X_7),inverse(inverse(X_56))) = double_divide(inverse(X_7),X_56),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_225]) ).
cnf(refute_0_227,plain,
double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) = double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))))]]) ).
cnf(refute_0_228,plain,
( double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) != double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56))))
| double_divide(inverse(X_7),inverse(inverse(X_56))) != double_divide(inverse(X_7),X_56)
| double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))),double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56))))) ),[1,1],$fot(double_divide(inverse(X_7),X_56))]]) ).
cnf(refute_0_229,plain,
( double_divide(inverse(X_7),inverse(inverse(X_56))) != double_divide(inverse(X_7),X_56)
| double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))),double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56))))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),inverse(inverse(X_56))),double_divide(inverse(X_7),X_56)) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))),
inference(subst,[],[refute_0_145:[bind(X_56,$fot(double_divide(inverse(X_7),inverse(inverse(X_56))))),bind(X_84,$fot(X_7))]]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) != double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56))))
| double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) != double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)))),bind(Y,$fot(double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))))),bind(Z,$fot(double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))))]]) ).
cnf(refute_0_233,plain,
( double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))) != double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)),double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56))))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),double_divide(inverse(X_7),inverse(inverse(X_56)))),double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) != X_56
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) != double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))
| double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)),X_56) ),[0],$fot(double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)))]]) ).
cnf(refute_0_236,plain,
( double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)) != X_56
| double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)),double_divide(inverse(X_7),double_divide(inverse(X_7),X_56))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
double_divide(inverse(X_7),double_divide(inverse(X_7),X_56)) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_56))),inverse(X_7)),X_56) )],[refute_0_129,refute_0_236]) ).
cnf(refute_0_238,plain,
double_divide(inverse(inverse(X_56)),double_divide(inverse(inverse(X_56)),X_94)) = X_94,
inference(subst,[],[refute_0_237:[bind(X_56,$fot(X_94)),bind(X_7,$fot(inverse(X_56)))]]) ).
cnf(refute_0_239,plain,
( double_divide(inverse(inverse(X_56)),double_divide(inverse(inverse(X_56)),X_94)) != X_94
| inverse(inverse(X_56)) != X_56
| double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(inverse(inverse(X_56)),X_94)),X_94) ),[0,1,0],$fot(X_56)]]) ).
cnf(refute_0_240,plain,
( double_divide(inverse(inverse(X_56)),double_divide(inverse(inverse(X_56)),X_94)) != X_94
| double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = X_94 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_239]) ).
cnf(refute_0_241,plain,
double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = X_94,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(inverse(inverse(X_56)),X_94)),X_94) )],[refute_0_238,refute_0_240]) ).
cnf(refute_0_242,plain,
double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)))]]) ).
cnf(refute_0_243,plain,
( double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) != double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94))
| inverse(inverse(X_56)) != X_56
| double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = double_divide(X_56,double_divide(X_56,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94))) ),[1,0],$fot(X_56)]]) ).
cnf(refute_0_244,plain,
( inverse(inverse(X_56)) != X_56
| double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = double_divide(X_56,double_divide(X_56,X_94)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) = double_divide(X_56,double_divide(X_56,X_94)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_56)),X_56) )],[refute_0_138,refute_0_244]) ).
cnf(refute_0_246,plain,
( double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) != X_94
| double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) != double_divide(X_56,double_divide(X_56,X_94))
| double_divide(X_56,double_divide(X_56,X_94)) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),X_94) ),[0],$fot(double_divide(X_56,double_divide(X_56,X_94)))]]) ).
cnf(refute_0_247,plain,
( double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)) != X_94
| double_divide(X_56,double_divide(X_56,X_94)) = X_94 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),double_divide(X_56,double_divide(X_56,X_94))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
double_divide(X_56,double_divide(X_56,X_94)) = X_94,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_56)),double_divide(X_56,X_94)),X_94) )],[refute_0_241,refute_0_247]) ).
cnf(refute_0_249,plain,
double_divide(B,double_divide(B,X_97)) = X_97,
inference(subst,[],[refute_0_248:[bind(X_56,$fot(B)),bind(X_94,$fot(X_97))]]) ).
cnf(refute_0_250,plain,
( multiply(double_divide(B,X_97),B) != inverse(double_divide(B,double_divide(B,X_97)))
| double_divide(B,double_divide(B,X_97)) != X_97
| multiply(double_divide(B,X_97),B) = inverse(X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,X_97),B),inverse(double_divide(B,double_divide(B,X_97)))) ),[1,0],$fot(X_97)]]) ).
cnf(refute_0_251,plain,
( multiply(double_divide(B,X_97),B) != inverse(double_divide(B,double_divide(B,X_97)))
| multiply(double_divide(B,X_97),B) = inverse(X_97) ),
inference(resolve,[$cnf( $equal(double_divide(B,double_divide(B,X_97)),X_97) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(double_divide(B,X_97),B) = inverse(X_97),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,X_97),B),inverse(double_divide(B,double_divide(B,X_97)))) )],[refute_0_222,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(double_divide(B,X_97),B) = multiply(B,double_divide(B,X_97)),
inference(subst,[],[refute_0_192:[bind(A,$fot(B)),bind(B,$fot(double_divide(B,X_97)))]]) ).
cnf(refute_0_254,plain,
( multiply(double_divide(B,X_97),B) != multiply(B,double_divide(B,X_97))
| multiply(double_divide(B,X_97),B) != inverse(X_97)
| multiply(B,double_divide(B,X_97)) = inverse(X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,X_97),B),inverse(X_97)) ),[0],$fot(multiply(B,double_divide(B,X_97)))]]) ).
cnf(refute_0_255,plain,
( multiply(double_divide(B,X_97),B) != inverse(X_97)
| multiply(B,double_divide(B,X_97)) = inverse(X_97) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,X_97),B),multiply(B,double_divide(B,X_97))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(B,double_divide(B,X_97)) = inverse(X_97),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,X_97),B),inverse(X_97)) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(inverse(C),double_divide(inverse(C),X_113)) = inverse(X_113),
inference(subst,[],[refute_0_256:[bind(B,$fot(inverse(C))),bind(X_97,$fot(X_113))]]) ).
cnf(refute_0_258,plain,
( multiply(C,multiply(inverse(C),double_divide(inverse(C),X_113))) != double_divide(inverse(C),X_113)
| multiply(inverse(C),double_divide(inverse(C),X_113)) != inverse(X_113)
| multiply(C,inverse(X_113)) = double_divide(inverse(C),X_113) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(inverse(C),double_divide(inverse(C),X_113))),double_divide(inverse(C),X_113)) ),[0,1],$fot(inverse(X_113))]]) ).
cnf(refute_0_259,plain,
( multiply(C,multiply(inverse(C),double_divide(inverse(C),X_113))) != double_divide(inverse(C),X_113)
| multiply(C,inverse(X_113)) = double_divide(inverse(C),X_113) ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(inverse(C),X_113)),inverse(X_113)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(C,inverse(X_113)) = double_divide(inverse(C),X_113),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(C),double_divide(inverse(C),X_113))),double_divide(inverse(C),X_113)) )],[refute_0_221,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(C,inverse(X_113)) != double_divide(inverse(C),X_113)
| double_divide(inverse(C),X_113) = multiply(C,inverse(X_113)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(C,inverse(X_113)))),bind(Y,$fot(double_divide(inverse(C),X_113)))]]) ).
cnf(refute_0_262,plain,
double_divide(inverse(C),X_113) = multiply(C,inverse(X_113)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(X_113)),double_divide(inverse(C),X_113)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(inverse(X_84),X_56) = multiply(X_84,inverse(X_56)),
inference(subst,[],[refute_0_262:[bind(C,$fot(X_84)),bind(X_113,$fot(X_56))]]) ).
cnf(refute_0_264,plain,
( double_divide(X_56,inverse(X_84)) != double_divide(inverse(X_84),X_56)
| double_divide(inverse(X_84),X_56) != multiply(X_84,inverse(X_56))
| double_divide(X_56,inverse(X_84)) = multiply(X_84,inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_56,inverse(X_84)),multiply(X_84,inverse(X_56))) ),[0],$fot(double_divide(inverse(X_84),X_56))]]) ).
cnf(refute_0_265,plain,
( double_divide(X_56,inverse(X_84)) != double_divide(inverse(X_84),X_56)
| double_divide(X_56,inverse(X_84)) = multiply(X_84,inverse(X_56)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_84),X_56),multiply(X_84,inverse(X_56))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(X_56,inverse(X_84)) = multiply(X_84,inverse(X_56)),
inference(resolve,[$cnf( $equal(double_divide(X_56,inverse(X_84)),double_divide(inverse(X_84),X_56)) )],[refute_0_145,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(X_84,inverse(X_84)) = multiply(X_84,inverse(X_84)),
inference(subst,[],[refute_0_266:[bind(X_56,$fot(X_84))]]) ).
cnf(refute_0_268,plain,
( double_divide(X_84,inverse(X_84)) != multiply(X_84,inverse(X_84))
| double_divide(X_84,inverse(X_84)) != double_divide(A,inverse(A))
| multiply(X_84,inverse(X_84)) = double_divide(A,inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_84,inverse(X_84)),double_divide(A,inverse(A))) ),[0],$fot(multiply(X_84,inverse(X_84)))]]) ).
cnf(refute_0_269,plain,
( double_divide(X_84,inverse(X_84)) != double_divide(A,inverse(A))
| multiply(X_84,inverse(X_84)) = double_divide(A,inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(X_84,inverse(X_84)),multiply(X_84,inverse(X_84))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(A,inverse(A)) = multiply(A,inverse(A)),
inference(subst,[],[refute_0_266:[bind(X_56,$fot(A)),bind(X_84,$fot(A))]]) ).
cnf(refute_0_271,plain,
( multiply(X_84,inverse(X_84)) != double_divide(A,inverse(A))
| double_divide(A,inverse(A)) != multiply(A,inverse(A))
| multiply(X_84,inverse(X_84)) = multiply(A,inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_84,inverse(X_84)),multiply(A,inverse(A))) ),[0],$fot(double_divide(A,inverse(A)))]]) ).
cnf(refute_0_272,plain,
( multiply(X_84,inverse(X_84)) != double_divide(A,inverse(A))
| multiply(X_84,inverse(X_84)) = multiply(A,inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(A)),multiply(A,inverse(A))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
( double_divide(X_84,inverse(X_84)) != double_divide(A,inverse(A))
| multiply(X_84,inverse(X_84)) = multiply(A,inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(X_84,inverse(X_84)),double_divide(A,inverse(A))) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(X_84,inverse(X_84)) = multiply(A,inverse(A)),
inference(resolve,[$cnf( $equal(double_divide(X_84,inverse(X_84)),double_divide(A,inverse(A))) )],[refute_0_167,refute_0_273]) ).
cnf(refute_0_275,plain,
( multiply(X_84,inverse(X_84)) != multiply(A,inverse(A))
| multiply(A,inverse(A)) = multiply(X_84,inverse(X_84)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_84,inverse(X_84)))),bind(Y,$fot(multiply(A,inverse(A))))]]) ).
cnf(refute_0_276,plain,
multiply(A,inverse(A)) = multiply(X_84,inverse(X_84)),
inference(resolve,[$cnf( $equal(multiply(X_84,inverse(X_84)),multiply(A,inverse(A))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(X_120,inverse(X_120)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_276:[bind(A,$fot(X_120)),bind(X_84,$fot(b1))]]) ).
cnf(refute_0_278,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(X_120,inverse(X_120)),multiply(b1,inverse(b1))) )],[refute_0_277,refute_0_208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP597-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 04:17:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.53/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.71
% 0.53/0.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.53/0.75
%------------------------------------------------------------------------------