TSTP Solution File: GRP598-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP598-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:43:10 EDT 2022
% Result : Unsatisfiable 0.70s 0.88s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 79
% Number of leaves : 139
% Syntax : Number of clauses : 452 ( 235 unt; 0 nHn; 207 RR)
% Number of literals : 776 ( 775 equ; 327 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 : 1336 ( 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_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(refute_0_0,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_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( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_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)))
| 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_26,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( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(double_divide(inverse(X_4),X_6))),bind(X_3,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_29,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(X_4))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_30,plain,
( multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)) != inverse(X_7)
| multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))),inverse(X_4)) ),[0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_31,plain,
( multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),inverse(X_7)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))),inverse(X_4)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_6,$fot(multiply(inverse(X_82),X_82)))]]) ).
cnf(refute_0_34,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_35,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_36,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( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C,
inference(subst,[],[refute_0_37:[bind(X_2,$fot(double_divide(X_22,X_23))),bind(X_3,$fot(multiply(multiply(X_23,inverse(inverse(C))),X_22)))]]) ).
cnf(refute_0_39,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(double_divide(A,B))),bind(X_3,$fot(multiply(multiply(B,inverse(C)),A))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_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)
| 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_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)
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),C) )],[refute_0_23,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)) = inverse(X_4),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(C))),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_44,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)) != inverse(X_4)
| double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) ),[0,1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_45,plain,
( double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),inverse(X_4)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_4)),double_divide(X_22,X_23)),inverse(C)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) )],[refute_0_38,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) = inverse(C),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(C)))]]) ).
cnf(refute_0_48,plain,
multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))
| double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_50,plain,
( double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)) != inverse(C)
| multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) = multiply(inverse(X_4),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)),inverse(C)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),
introduced(tautology,[refl,[$fot(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))))]]) ).
cnf(refute_0_53,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))) ),[1,1],$fot(multiply(inverse(X_4),inverse(C)))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))) != multiply(inverse(X_4),inverse(C))
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) = double_divide(X_4,multiply(inverse(X_4),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22))),multiply(inverse(X_4),inverse(C))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != double_divide(X_4,multiply(inverse(X_4),inverse(C)))
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) ),[0],$fot(double_divide(X_4,multiply(inverse(X_4),inverse(C))))]]) ).
cnf(refute_0_57,plain,
( double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))) != C
| double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),double_divide(X_4,multiply(inverse(X_4),inverse(C)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(X_4,multiply(inverse(X_4),inverse(C))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(inverse(X_4),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(C))),X_22)))),C) )],[refute_0_46,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) = C,
inference(subst,[],[refute_0_58:[bind(X_4,$fot(double_divide(X_80,inverse(X_80))))]]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_61,plain,
multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7),
inference(subst,[],[refute_0_42:[bind(A,$fot(double_divide(X_22,X_23))),bind(B,$fot(multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))]]) ).
cnf(refute_0_62,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)) = inverse(C),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(X_7))),bind(X_7,$fot(C))]]) ).
cnf(refute_0_63,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)) != inverse(C)
| multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_64,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),inverse(C)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(X_7))),X_22),inverse(C)),double_divide(X_22,X_23)),inverse(X_7)),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) = inverse(X_7),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_67,plain,
multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),
introduced(tautology,[refl,[$fot(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))))]]) ).
cnf(refute_0_68,plain,
( multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))
| double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) = multiply(inverse(C),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22)),inverse(X_7)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C))]]) ).
cnf(refute_0_72,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)
| multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)) ),[1,0],$fot(multiply(inverse(C),inverse(X_7)))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) = multiply(multiply(inverse(C),inverse(X_7)),C),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),multiply(inverse(C),inverse(X_7))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != multiply(multiply(inverse(C),inverse(X_7)),C)
| multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(C),inverse(X_7)),C))]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),multiply(multiply(inverse(C),inverse(X_7)),C)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_22,X_23),multiply(multiply(X_23,inverse(inverse(X_7))),X_22))),C),inverse(X_7)) )],[refute_0_65,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(multiply(inverse(A),inverse(C)),A) = inverse(C),
inference(subst,[],[refute_0_77:[bind(C,$fot(A)),bind(X_7,$fot(C))]]) ).
cnf(refute_0_79,plain,
( multiply(multiply(inverse(A),inverse(C)),A) != inverse(C)
| double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) != C
| double_divide(double_divide(A,inverse(A)),inverse(C)) = C ),
introduced(tautology,[equality,[$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_80,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( $equal(multiply(multiply(inverse(A),inverse(C)),A),inverse(C)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(A,inverse(A)),inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)),C) )],[refute_0_60,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(double_divide(X_28,inverse(X_28)),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_81:[bind(A,$fot(X_28)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(X_28,inverse(X_28)),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_28,inverse(X_28)),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_28,inverse(X_28)),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_84,plain,
( double_divide(double_divide(X_28,inverse(X_28)),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(double_divide(X_28,inverse(X_28)),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(double_divide(X_28,inverse(X_28)),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_28,inverse(X_28)),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))) = double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),
inference(subst,[],[refute_0_85:[bind(A,$fot(inverse(double_divide(X_80,inverse(X_80))))),bind(B,$fot(inverse(C))),bind(X_28,$fot(X_80))]]) ).
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))) != 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_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(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))),double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_80,inverse(X_80)),multiply(inverse(double_divide(X_80,inverse(X_80))),inverse(C))),C) )],[refute_0_59,refute_0_88]) ).
cnf(refute_0_90,plain,
inverse(double_divide(X_80,inverse(X_80))) = multiply(inverse(X_80),X_80),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_80))),bind(B,$fot(X_80))]]) ).
cnf(refute_0_91,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))))]]) ).
cnf(refute_0_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))))
| 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_93,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( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80))))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) = double_divide(inverse(C),multiply(inverse(X_80),X_80)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_80,inverse(X_80))),multiply(inverse(X_80),X_80)) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
( double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != C
| double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))) != double_divide(inverse(C),multiply(inverse(X_80),X_80))
| double_divide(inverse(C),multiply(inverse(X_80),X_80)) = C ),
introduced(tautology,[equality,[$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_96,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( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),double_divide(inverse(C),multiply(inverse(X_80),X_80))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(inverse(C),multiply(inverse(X_80),X_80)) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(double_divide(X_80,inverse(X_80)))),C) )],[refute_0_89,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(inverse(X_4),multiply(inverse(X_82),X_82)) = X_4,
inference(subst,[],[refute_0_97:[bind(C,$fot(X_4)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != inverse(X_4)
| double_divide(inverse(X_4),multiply(inverse(X_82),X_82)) != X_4
| multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),inverse(X_4)) ),[0,1,0],$fot(X_4)]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),X_4) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),inverse(X_4)) )],[refute_0_33,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(inverse(X_82),X_82))),bind(B,$fot(inverse(X_81)))]]) ).
cnf(refute_0_103,plain,
double_divide(inverse(X_81),multiply(inverse(X_82),X_82)) = X_81,
inference(subst,[],[refute_0_97:[bind(C,$fot(X_81)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_104,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_81)) != inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))
| double_divide(inverse(X_81),multiply(inverse(X_82),X_82)) != X_81
| multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(X_81) ),
introduced(tautology,[equality,[$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_105,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( $equal(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)),X_81) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_81)) = inverse(X_81),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),inverse(double_divide(inverse(X_81),multiply(inverse(X_82),X_82)))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(inverse(X_82),X_82),inverse(X_7)) = inverse(X_7),
inference(subst,[],[refute_0_106:[bind(X_81,$fot(X_7))]]) ).
cnf(refute_0_108,plain,
double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),
introduced(tautology,[refl,[$fot(double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))]]) ).
cnf(refute_0_109,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_7)) != inverse(X_7)
| double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))
| double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(X_4,inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_110,plain,
( multiply(multiply(inverse(X_82),X_82),inverse(X_7)) != inverse(X_7)
| double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(X_4,inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(X_4,inverse(X_7)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_7)),inverse(X_7)) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))))]]) ).
cnf(refute_0_113,plain,
( multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))
| double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))) ),[1,1],$fot(double_divide(X_4,inverse(X_7)))]]) ).
cnf(refute_0_114,plain,
( double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))),
inference(resolve,[$cnf( $equal(double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(X_4,inverse(X_7))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))
| multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),inverse(X_4)) ),[0],$fot(multiply(inverse(X_7),double_divide(X_4,inverse(X_7))))]]) ).
cnf(refute_0_117,plain,
( multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(X_4,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))),inverse(X_4)) )],[refute_0_101,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(inverse(X_55)),double_divide(X_86,inverse(inverse(X_55)))) = inverse(X_86),
inference(subst,[],[refute_0_118:[bind(X_4,$fot(X_86)),bind(X_7,$fot(inverse(X_55)))]]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))) = X_30,
inference(subst,[],[refute_0_58:[bind(C,$fot(X_30)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_121,plain,
( double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))) != X_30
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(B,A),multiply(multiply(A,B),inverse(X_30))) = X_30 ),
introduced(tautology,[equality,[$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_122,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( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(B,A),multiply(multiply(A,B),inverse(X_30))) = X_30,
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(inverse(double_divide(B,A)),inverse(X_30))),X_30) )],[refute_0_120,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55))) = X_55,
inference(subst,[],[refute_0_123:[bind(A,$fot(inverse(inverse(X_55)))),bind(B,$fot(inverse(X_7))),bind(X_30,$fot(X_55))]]) ).
cnf(refute_0_125,plain,
multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55)) = inverse(X_7),
inference(subst,[],[refute_0_77:[bind(C,$fot(inverse(X_55)))]]) ).
cnf(refute_0_126,plain,
( multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55)) != inverse(X_7)
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55))) != X_55
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),inverse(X_7)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55))),X_55) ),[0,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_127,plain,
( double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55))) != X_55
| double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),inverse(X_7)) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55)),inverse(X_7)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),inverse(X_7)) = X_55,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_7),inverse(inverse(X_55))),multiply(multiply(inverse(inverse(X_55)),inverse(X_7)),inverse(X_55))),X_55) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))) = X_55,
inference(subst,[],[refute_0_128:[bind(X_7,$fot(inverse(X_55)))]]) ).
cnf(refute_0_130,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_131,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(C))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_132,plain,
( multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) != inverse(X_7)
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$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_133,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( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)),inverse(X_7)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C,
inference(subst,[],[refute_0_134:[bind(X_6,$fot(multiply(inverse(X_82),X_82)))]]) ).
cnf(refute_0_136,plain,
double_divide(inverse(C),multiply(inverse(X_82),X_82)) = C,
inference(subst,[],[refute_0_97:[bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_137,plain,
( double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(inverse(C),multiply(inverse(X_82),X_82)) != C
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$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_138,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( $equal(double_divide(inverse(C),multiply(inverse(X_82),X_82)),C) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_82),X_82)),multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),
introduced(tautology,[refl,[$fot(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))))]]) ).
cnf(refute_0_141,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_142,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( $equal(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))) = double_divide(C,inverse(X_7)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_82),X_82),inverse(X_7)),inverse(X_7)) )],[refute_0_107,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)))]]) ).
cnf(refute_0_145,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_146,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( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(C,inverse(X_7)),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),double_divide(C,inverse(X_7))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
( double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)) != double_divide(double_divide(C,inverse(X_7)),inverse(X_7))
| double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) = C ),
introduced(tautology,[equality,[$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_149,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( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),double_divide(double_divide(C,inverse(X_7)),inverse(X_7))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(double_divide(C,inverse(X_7)),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(C,multiply(multiply(inverse(X_82),X_82),inverse(X_7))),inverse(X_7)),C) )],[refute_0_139,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))) = inverse(inverse(X_55)),
inference(subst,[],[refute_0_150:[bind(C,$fot(inverse(inverse(X_55)))),bind(X_7,$fot(inverse(X_55)))]]) ).
cnf(refute_0_152,plain,
( double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))) != X_55
| double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))) != inverse(inverse(X_55))
| inverse(inverse(X_55)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))),X_55) ),[0],$fot(inverse(inverse(X_55)))]]) ).
cnf(refute_0_153,plain,
( double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))) != X_55
| inverse(inverse(X_55)) = X_55 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))),inverse(inverse(X_55))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
inverse(inverse(X_55)) = X_55,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_55)),inverse(inverse(X_55))),inverse(inverse(X_55))),X_55) )],[refute_0_129,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(inverse(inverse(X_55)),double_divide(X_86,inverse(inverse(X_55)))) != inverse(X_86)
| inverse(inverse(X_55)) != X_55
| multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,inverse(inverse(X_55)))),inverse(X_86)) ),[0,1,1],$fot(X_55)]]) ).
cnf(refute_0_156,plain,
( multiply(inverse(inverse(X_55)),double_divide(X_86,inverse(inverse(X_55)))) != inverse(X_86)
| multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = inverse(X_86),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,inverse(inverse(X_55)))),inverse(X_86)) )],[refute_0_119,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)))]]) ).
cnf(refute_0_159,plain,
( multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) != multiply(inverse(inverse(X_55)),double_divide(X_86,X_55))
| inverse(inverse(X_55)) != X_55
| multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = multiply(X_55,double_divide(X_86,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),multiply(inverse(inverse(X_55)),double_divide(X_86,X_55))) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_160,plain,
( inverse(inverse(X_55)) != X_55
| multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = multiply(X_55,double_divide(X_86,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),multiply(inverse(inverse(X_55)),double_divide(X_86,X_55))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) = multiply(X_55,double_divide(X_86,X_55)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_160]) ).
cnf(refute_0_162,plain,
( multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) != multiply(X_55,double_divide(X_86,X_55))
| multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) != inverse(X_86)
| multiply(X_55,double_divide(X_86,X_55)) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),inverse(X_86)) ),[0],$fot(multiply(X_55,double_divide(X_86,X_55)))]]) ).
cnf(refute_0_163,plain,
( multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)) != inverse(X_86)
| multiply(X_55,double_divide(X_86,X_55)) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),multiply(X_55,double_divide(X_86,X_55))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(X_55,double_divide(X_86,X_55)) = inverse(X_86),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),double_divide(X_86,X_55)),inverse(X_86)) )],[refute_0_157,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(X_55,double_divide(double_divide(X_55,X_94),X_55)) = inverse(double_divide(X_55,X_94)),
inference(subst,[],[refute_0_164:[bind(X_86,$fot(double_divide(X_55,X_94)))]]) ).
cnf(refute_0_166,plain,
double_divide(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),inverse(X_84)) = double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),
inference(subst,[],[refute_0_150:[bind(C,$fot(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))))),bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_167,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)) = C,
inference(subst,[],[refute_0_134:[bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_168,plain,
( double_divide(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),inverse(X_84)) != double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)) != C
| double_divide(C,inverse(X_84)) = double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),inverse(X_84)),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))) ),[0,0],$fot(C)]]) ).
cnf(refute_0_169,plain,
( double_divide(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),inverse(X_84)) != double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))
| double_divide(C,inverse(X_84)) = double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),C) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
double_divide(C,inverse(X_84)) = double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))),inverse(X_84)),inverse(X_84)),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( double_divide(C,inverse(X_84)) != double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))
| double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))) = double_divide(C,inverse(X_84)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(C,inverse(X_84)))),bind(Y,$fot(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))))]]) ).
cnf(refute_0_172,plain,
double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84))) = double_divide(C,inverse(X_84)),
inference(resolve,[$cnf( $equal(double_divide(C,inverse(X_84)),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_84)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))) = double_divide(C,inverse(X_7)),
inference(subst,[],[refute_0_172:[bind(X_84,$fot(X_7))]]) ).
cnf(refute_0_174,plain,
double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) = double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))))]]) ).
cnf(refute_0_175,plain,
( double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))) != double_divide(C,inverse(X_7))
| double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) != double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))
| double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))),double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))) ),[1,1],$fot(double_divide(C,inverse(X_7)))]]) ).
cnf(refute_0_176,plain,
( double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))) != double_divide(C,inverse(X_7))
| double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))),double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),double_divide(C,inverse(X_7))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_55))),
inference(subst,[],[refute_0_150:[bind(C,$fot(double_divide(inverse(X_84),inverse(inverse(X_55))))),bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_179,plain,
double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)) = X_55,
inference(subst,[],[refute_0_128:[bind(X_7,$fot(X_84))]]) ).
cnf(refute_0_180,plain,
( double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_55)))
| double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)) != X_55
| double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_55)))) ),[0,0],$fot(X_55)]]) ).
cnf(refute_0_181,plain,
( double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_55)))
| double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_55))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),X_55) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),inverse(inverse(X_55))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_84),inverse(inverse(X_55))),inverse(X_84)),inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_55)))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
double_divide(inverse(X_84),inverse(inverse(X_55))) = double_divide(inverse(X_84),inverse(inverse(X_55))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_84),inverse(inverse(X_55))))]]) ).
cnf(refute_0_184,plain,
( double_divide(inverse(X_84),inverse(inverse(X_55))) != double_divide(inverse(X_84),inverse(inverse(X_55)))
| inverse(inverse(X_55)) != X_55
| double_divide(inverse(X_84),inverse(inverse(X_55))) = double_divide(inverse(X_84),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_55))),double_divide(inverse(X_84),inverse(inverse(X_55)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_185,plain,
( inverse(inverse(X_55)) != X_55
| double_divide(inverse(X_84),inverse(inverse(X_55))) = double_divide(inverse(X_84),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_55))),double_divide(inverse(X_84),inverse(inverse(X_55)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(inverse(X_84),inverse(inverse(X_55))) = double_divide(inverse(X_84),X_55),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_185]) ).
cnf(refute_0_187,plain,
( double_divide(X_55,inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_55)))
| double_divide(inverse(X_84),inverse(inverse(X_55))) != double_divide(inverse(X_84),X_55)
| double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),X_55) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_55,inverse(X_84)),double_divide(inverse(X_84),X_55)) ),[0],$fot(double_divide(inverse(X_84),inverse(inverse(X_55))))]]) ).
cnf(refute_0_188,plain,
( double_divide(X_55,inverse(X_84)) != double_divide(inverse(X_84),inverse(inverse(X_55)))
| double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_84),inverse(inverse(X_55))),double_divide(inverse(X_84),X_55)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(X_55,inverse(X_84)) = double_divide(inverse(X_84),X_55),
inference(resolve,[$cnf( $equal(double_divide(X_55,inverse(X_84)),double_divide(inverse(X_84),inverse(inverse(X_55)))) )],[refute_0_182,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))),
inference(subst,[],[refute_0_189:[bind(X_55,$fot(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))),bind(X_84,$fot(X_7))]]) ).
cnf(refute_0_191,plain,
( double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) != double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))
| double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) != double_divide(inverse(X_7),double_divide(C,inverse(X_7)))
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)))),bind(Y,$fot(double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))))),bind(Z,$fot(double_divide(inverse(X_7),double_divide(C,inverse(X_7)))))]]) ).
cnf(refute_0_192,plain,
( double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))) != double_divide(inverse(X_7),double_divide(C,inverse(X_7)))
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)),double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = double_divide(inverse(X_7),double_divide(C,inverse(X_7))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_7),double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7)))),double_divide(inverse(X_7),double_divide(C,inverse(X_7)))) )],[refute_0_177,refute_0_192]) ).
cnf(refute_0_194,plain,
( double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) != double_divide(inverse(X_7),double_divide(C,inverse(X_7)))
| double_divide(inverse(X_7),double_divide(C,inverse(X_7))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)),C) ),[0],$fot(double_divide(inverse(X_7),double_divide(C,inverse(X_7))))]]) ).
cnf(refute_0_195,plain,
( double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) != C
| double_divide(inverse(X_7),double_divide(C,inverse(X_7))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)),double_divide(inverse(X_7),double_divide(C,inverse(X_7)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
double_divide(inverse(X_7),double_divide(C,inverse(X_7))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)),C) )],[refute_0_134,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(inverse(X_55)),double_divide(X_90,inverse(inverse(X_55)))) = X_90,
inference(subst,[],[refute_0_196:[bind(C,$fot(X_90)),bind(X_7,$fot(inverse(X_55)))]]) ).
cnf(refute_0_198,plain,
( double_divide(inverse(inverse(X_55)),double_divide(X_90,inverse(inverse(X_55)))) != X_90
| inverse(inverse(X_55)) != X_55
| double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,inverse(inverse(X_55)))),X_90) ),[0,1,1],$fot(X_55)]]) ).
cnf(refute_0_199,plain,
( double_divide(inverse(inverse(X_55)),double_divide(X_90,inverse(inverse(X_55)))) != X_90
| double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = X_90 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_198]) ).
cnf(refute_0_200,plain,
double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = X_90,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,inverse(inverse(X_55)))),X_90) )],[refute_0_197,refute_0_199]) ).
cnf(refute_0_201,plain,
double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)))]]) ).
cnf(refute_0_202,plain,
( double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) != double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55))
| inverse(inverse(X_55)) != X_55
| double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = double_divide(X_55,double_divide(X_90,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55))) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_203,plain,
( inverse(inverse(X_55)) != X_55
| double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = double_divide(X_55,double_divide(X_90,X_55)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) = double_divide(X_55,double_divide(X_90,X_55)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_203]) ).
cnf(refute_0_205,plain,
( double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) != X_90
| double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) != double_divide(X_55,double_divide(X_90,X_55))
| double_divide(X_55,double_divide(X_90,X_55)) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),X_90) ),[0],$fot(double_divide(X_55,double_divide(X_90,X_55)))]]) ).
cnf(refute_0_206,plain,
( double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)) != X_90
| double_divide(X_55,double_divide(X_90,X_55)) = X_90 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),double_divide(X_55,double_divide(X_90,X_55))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
double_divide(X_55,double_divide(X_90,X_55)) = X_90,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),double_divide(X_90,X_55)),X_90) )],[refute_0_200,refute_0_206]) ).
cnf(refute_0_208,plain,
double_divide(double_divide(X_93,X_90),double_divide(X_90,double_divide(X_93,X_90))) = X_90,
inference(subst,[],[refute_0_207:[bind(X_55,$fot(double_divide(X_93,X_90)))]]) ).
cnf(refute_0_209,plain,
double_divide(X_90,double_divide(X_93,X_90)) = X_93,
inference(subst,[],[refute_0_207:[bind(X_55,$fot(X_90)),bind(X_90,$fot(X_93))]]) ).
cnf(refute_0_210,plain,
( double_divide(X_90,double_divide(X_93,X_90)) != X_93
| double_divide(double_divide(X_93,X_90),double_divide(X_90,double_divide(X_93,X_90))) != X_90
| double_divide(double_divide(X_93,X_90),X_93) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_93,X_90),double_divide(X_90,double_divide(X_93,X_90))),X_90) ),[0,1],$fot(X_93)]]) ).
cnf(refute_0_211,plain,
( double_divide(double_divide(X_93,X_90),double_divide(X_90,double_divide(X_93,X_90))) != X_90
| double_divide(double_divide(X_93,X_90),X_93) = X_90 ),
inference(resolve,[$cnf( $equal(double_divide(X_90,double_divide(X_93,X_90)),X_93) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
double_divide(double_divide(X_93,X_90),X_93) = X_90,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_93,X_90),double_divide(X_90,double_divide(X_93,X_90))),X_90) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
double_divide(double_divide(X_55,X_94),X_55) = X_94,
inference(subst,[],[refute_0_212:[bind(X_90,$fot(X_94)),bind(X_93,$fot(X_55))]]) ).
cnf(refute_0_214,plain,
( multiply(X_55,double_divide(double_divide(X_55,X_94),X_55)) != inverse(double_divide(X_55,X_94))
| double_divide(double_divide(X_55,X_94),X_55) != X_94
| multiply(X_55,X_94) = inverse(double_divide(X_55,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,double_divide(double_divide(X_55,X_94),X_55)),inverse(double_divide(X_55,X_94))) ),[0,1],$fot(X_94)]]) ).
cnf(refute_0_215,plain,
( multiply(X_55,double_divide(double_divide(X_55,X_94),X_55)) != inverse(double_divide(X_55,X_94))
| multiply(X_55,X_94) = inverse(double_divide(X_55,X_94)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_55,X_94),X_55),X_94) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(X_55,X_94) = inverse(double_divide(X_55,X_94)),
inference(resolve,[$cnf( $equal(multiply(X_55,double_divide(double_divide(X_55,X_94),X_55)),inverse(double_divide(X_55,X_94))) )],[refute_0_165,refute_0_215]) ).
cnf(refute_0_217,plain,
inverse(double_divide(X_55,X_94)) = multiply(X_94,X_55),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_94)),bind(B,$fot(X_55))]]) ).
cnf(refute_0_218,plain,
( multiply(X_55,X_94) != inverse(double_divide(X_55,X_94))
| inverse(double_divide(X_55,X_94)) != multiply(X_94,X_55)
| multiply(X_55,X_94) = multiply(X_94,X_55) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_55,X_94),multiply(X_94,X_55)) ),[0],$fot(inverse(double_divide(X_55,X_94)))]]) ).
cnf(refute_0_219,plain,
( multiply(X_55,X_94) != inverse(double_divide(X_55,X_94))
| multiply(X_55,X_94) = multiply(X_94,X_55) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_55,X_94)),multiply(X_94,X_55)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(X_55,X_94) = multiply(X_94,X_55),
inference(resolve,[$cnf( $equal(multiply(X_55,X_94),inverse(double_divide(X_55,X_94))) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
( multiply(X_55,X_94) != multiply(X_94,X_55)
| multiply(X_94,X_55) = multiply(X_55,X_94) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_55,X_94))),bind(Y,$fot(multiply(X_94,X_55)))]]) ).
cnf(refute_0_222,plain,
multiply(X_94,X_55) = multiply(X_55,X_94),
inference(resolve,[$cnf( $equal(multiply(X_55,X_94),multiply(X_94,X_55)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(b2)),bind(X_94,$fot(inverse(b2)))]]) ).
cnf(refute_0_224,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(inverse(b2),b2)),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_225,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(inverse(b2),b2))
| multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) ),[1,1],$fot(multiply(b2,inverse(b2)))]]) ).
cnf(refute_0_226,plain,
( multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),multiply(b2,inverse(b2))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(a2)),bind(X_94,$fot(multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_229,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_230,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_233,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(a2,multiply(b2,inverse(b2))) != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_233,prove_these_axioms_2]) ).
cnf(refute_0_235,plain,
multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_3,$fot(inverse(X_2)))]]) ).
cnf(refute_0_236,plain,
multiply(multiply(inverse(X_2),inverse(X_4)),X_2) = inverse(X_4),
inference(subst,[],[refute_0_77:[bind(C,$fot(X_2)),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_237,plain,
( multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) != inverse(X_4)
| multiply(multiply(inverse(X_2),inverse(X_4)),X_2) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))),inverse(X_4)) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_238,plain,
( multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),inverse(X_4)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))),inverse(X_4)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(inverse(inverse(X_85)),double_divide(X_2,inverse(X_2))) = inverse(inverse(X_85)),
inference(subst,[],[refute_0_239:[bind(X_4,$fot(inverse(X_85)))]]) ).
cnf(refute_0_241,plain,
inverse(inverse(X_85)) = X_85,
inference(subst,[],[refute_0_154:[bind(X_55,$fot(X_85))]]) ).
cnf(refute_0_242,plain,
( multiply(inverse(inverse(X_85)),double_divide(X_2,inverse(X_2))) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(X_85,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_85)),double_divide(X_2,inverse(X_2))),inverse(inverse(X_85))) ),[0,0],$fot(X_85)]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(inverse(X_85)),double_divide(X_2,inverse(X_2))) != inverse(inverse(X_85))
| multiply(X_85,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_85)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(X_85,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_85)),double_divide(X_2,inverse(X_2))),inverse(inverse(X_85))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(X_85,double_divide(X_2,inverse(X_2))) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(X_85,double_divide(X_2,inverse(X_2))) = X_85 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),X_85) ),[0],$fot(inverse(inverse(X_85)))]]) ).
cnf(refute_0_246,plain,
( multiply(X_85,double_divide(X_2,inverse(X_2))) != inverse(inverse(X_85))
| multiply(X_85,double_divide(X_2,inverse(X_2))) = X_85 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_241,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(X_85,double_divide(X_2,inverse(X_2))) = X_85,
inference(resolve,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),inverse(inverse(X_85))) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(A,double_divide(A,X_94)) = inverse(double_divide(double_divide(A,X_94),A)),
inference(subst,[],[multiply:[bind(B,$fot(double_divide(A,X_94)))]]) ).
cnf(refute_0_249,plain,
double_divide(double_divide(A,X_94),A) = X_94,
inference(subst,[],[refute_0_212:[bind(X_90,$fot(X_94)),bind(X_93,$fot(A))]]) ).
cnf(refute_0_250,plain,
( multiply(A,double_divide(A,X_94)) != inverse(double_divide(double_divide(A,X_94),A))
| double_divide(double_divide(A,X_94),A) != X_94
| multiply(A,double_divide(A,X_94)) = inverse(X_94) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,X_94)),inverse(double_divide(double_divide(A,X_94),A))) ),[1,0],$fot(X_94)]]) ).
cnf(refute_0_251,plain,
( multiply(A,double_divide(A,X_94)) != inverse(double_divide(double_divide(A,X_94),A))
| multiply(A,double_divide(A,X_94)) = inverse(X_94) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_94),A),X_94) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(A,double_divide(A,X_94)) = inverse(X_94),
inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,X_94)),inverse(double_divide(double_divide(A,X_94),A))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(A,double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) = inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),
inference(subst,[],[refute_0_252:[bind(X_94,$fot(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))))]]) ).
cnf(refute_0_254,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))))]]) ).
cnf(refute_0_255,plain,
double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))) = X_12,
inference(subst,[],[refute_0_37:[bind(C,$fot(X_12)),bind(X_2,$fot(X_13)),bind(X_3,$fot(X_14)),bind(X_4,$fot(A))]]) ).
cnf(refute_0_256,plain,
( double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))) != X_12
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != C
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),C) ),[0,0],$fot(X_12)]]) ).
cnf(refute_0_257,plain,
( double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != C
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),X_12) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14))),multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),C) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)) = multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(double_divide(X_13,X_14))),bind(X_94,$fot(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))))]]) ).
cnf(refute_0_260,plain,
multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) = multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))]]) ).
cnf(refute_0_261,plain,
( multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)) != multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)))
| multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) != multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))
| multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) = multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) ),[1,0],$fot(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))))]]) ).
cnf(refute_0_262,plain,
( multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)) != multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)))
| multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) = multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) = multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)))) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) = multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))),
introduced(tautology,[refl,[$fot(multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))))]]) ).
cnf(refute_0_265,plain,
( multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) != multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))
| multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) != multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))
| multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))),multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))) ),[1,1],$fot(multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))]]) ).
cnf(refute_0_266,plain,
( multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)) != multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))
| multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))),multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) = multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(A)),bind(X_94,$fot(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))))]]) ).
cnf(refute_0_269,plain,
( multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) != multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))
| multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) != multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))
| multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A))),bind(Y,$fot(multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))))),bind(Z,$fot(multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))))]]) ).
cnf(refute_0_270,plain,
( multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))) != multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))
| multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A),multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) = multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C))),multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),
introduced(tautology,[refl,[$fot(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)))]]) ).
cnf(refute_0_273,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) != multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A))
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A))) ),[1,1],$fot(multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))))]]) ).
cnf(refute_0_274,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A) != multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) = double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A),multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != C
| double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))))
| double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),C) ),[0],$fot(double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))))]]) ).
cnf(refute_0_277,plain,
( double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)) != C
| double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
double_divide(X_12,multiply(A,multiply(multiply(double_divide(X_13,X_14),multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12))),inverse(C)))) = C,
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(multiply(multiply(multiply(multiply(multiply(X_14,inverse(A)),X_13),inverse(X_12)),double_divide(X_13,X_14)),inverse(C)),A)),C) )],[refute_0_258,refute_0_277]) ).
cnf(refute_0_279,plain,
double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = X_118,
inference(subst,[],[refute_0_278:[bind(A,$fot(X_117)),bind(C,$fot(X_118)),bind(X_12,$fot(A)),bind(X_13,$fot(X_120)),bind(X_14,$fot(X_121))]]) ).
cnf(refute_0_280,plain,
( multiply(A,double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) != inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))
| double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) != X_118
| multiply(A,X_118) = inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))),inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) ),[0,1],$fot(X_118)]]) ).
cnf(refute_0_281,plain,
( multiply(A,double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) != inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))
| multiply(A,X_118) = inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),X_118) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(A,X_118) = inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),
inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))),inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) )],[refute_0_253,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(inverse(X_85))),double_divide(A,B)),C) = inverse(inverse(X_85)),
inference(subst,[],[refute_0_42:[bind(X_7,$fot(inverse(X_85)))]]) ).
cnf(refute_0_284,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(inverse(X_85))),double_divide(A,B)),C) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = inverse(inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(inverse(X_85))),double_divide(A,B)),C),inverse(inverse(X_85))) ),[0,0,0,1],$fot(X_85)]]) ).
cnf(refute_0_285,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(inverse(X_85))),double_divide(A,B)),C) != inverse(inverse(X_85))
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = inverse(inverse(X_85)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_241,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = inverse(inverse(X_85)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(inverse(X_85))),double_divide(A,B)),C),inverse(inverse(X_85))) )],[refute_0_283,refute_0_285]) ).
cnf(refute_0_287,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != inverse(inverse(X_85))
| inverse(inverse(X_85)) != X_85
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = X_85 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),X_85) ),[0],$fot(inverse(inverse(X_85)))]]) ).
cnf(refute_0_288,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != inverse(inverse(X_85))
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = X_85 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_85)),X_85) )],[refute_0_241,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = X_85,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),inverse(inverse(X_85))) )],[refute_0_286,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)) = multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(double_divide(A,B))),bind(X_94,$fot(multiply(multiply(multiply(B,inverse(C)),A),X_85)))]]) ).
cnf(refute_0_291,plain,
multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) = multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))),
introduced(tautology,[refl,[$fot(multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))))]]) ).
cnf(refute_0_292,plain,
( multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) != multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)))
| multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)) != multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))
| multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))),multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)))) ),[1,1],$fot(multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))]]) ).
cnf(refute_0_293,plain,
( multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)) != multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))
| multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))),multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))),
inference(subst,[],[refute_0_222:[bind(X_55,$fot(C)),bind(X_94,$fot(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))))]]) ).
cnf(refute_0_296,plain,
( multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) != multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)))
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C))),bind(Y,$fot(multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))))),bind(Z,$fot(multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))))]]) ).
cnf(refute_0_297,plain,
( multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))) != multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) = multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B))),multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != X_85
| multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))
| multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),X_85) ),[0],$fot(multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))))]]) ).
cnf(refute_0_300,plain,
( multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C) != X_85
| multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) = X_85 ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(C,multiply(double_divide(A,B),multiply(multiply(multiply(B,inverse(C)),A),X_85))) = X_85,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),X_85),double_divide(A,B)),C),X_85) )],[refute_0_289,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))) = inverse(A),
inference(subst,[],[refute_0_301:[bind(A,$fot(X_120)),bind(B,$fot(X_121)),bind(C,$fot(X_117)),bind(X_85,$fot(inverse(A)))]]) ).
cnf(refute_0_303,plain,
double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) = double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))))]]) ).
cnf(refute_0_304,plain,
( multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))) != inverse(A)
| double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) != double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))
| double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) = double_divide(inverse(X_118),inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))) ),[1,1],$fot(inverse(A))]]) ).
cnf(refute_0_305,plain,
( multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))) != inverse(A)
| double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) = double_divide(inverse(X_118),inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) = double_divide(inverse(X_118),inverse(A)),
inference(resolve,[$cnf( $equal(multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))),inverse(A)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(X_96,inverse(inverse(X_55))) = double_divide(inverse(inverse(X_55)),X_96),
inference(subst,[],[refute_0_189:[bind(X_55,$fot(X_96)),bind(X_84,$fot(inverse(X_55)))]]) ).
cnf(refute_0_308,plain,
( double_divide(X_96,inverse(inverse(X_55))) != double_divide(inverse(inverse(X_55)),X_96)
| inverse(inverse(X_55)) != X_55
| double_divide(X_96,X_55) = double_divide(inverse(inverse(X_55)),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_96,inverse(inverse(X_55))),double_divide(inverse(inverse(X_55)),X_96)) ),[0,1],$fot(X_55)]]) ).
cnf(refute_0_309,plain,
( double_divide(X_96,inverse(inverse(X_55))) != double_divide(inverse(inverse(X_55)),X_96)
| double_divide(X_96,X_55) = double_divide(inverse(inverse(X_55)),X_96) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(X_96,X_55) = double_divide(inverse(inverse(X_55)),X_96),
inference(resolve,[$cnf( $equal(double_divide(X_96,inverse(inverse(X_55))),double_divide(inverse(inverse(X_55)),X_96)) )],[refute_0_307,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(inverse(inverse(X_55)),X_96) = double_divide(inverse(inverse(X_55)),X_96),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_55)),X_96))]]) ).
cnf(refute_0_312,plain,
( double_divide(inverse(inverse(X_55)),X_96) != double_divide(inverse(inverse(X_55)),X_96)
| inverse(inverse(X_55)) != X_55
| double_divide(inverse(inverse(X_55)),X_96) = double_divide(X_55,X_96) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_55)),X_96),double_divide(inverse(inverse(X_55)),X_96)) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_313,plain,
( inverse(inverse(X_55)) != X_55
| double_divide(inverse(inverse(X_55)),X_96) = double_divide(X_55,X_96) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),X_96),double_divide(inverse(inverse(X_55)),X_96)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
double_divide(inverse(inverse(X_55)),X_96) = double_divide(X_55,X_96),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_313]) ).
cnf(refute_0_315,plain,
( double_divide(X_96,X_55) != double_divide(inverse(inverse(X_55)),X_96)
| double_divide(inverse(inverse(X_55)),X_96) != double_divide(X_55,X_96)
| double_divide(X_96,X_55) = double_divide(X_55,X_96) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_96,X_55),double_divide(X_55,X_96)) ),[0],$fot(double_divide(inverse(inverse(X_55)),X_96))]]) ).
cnf(refute_0_316,plain,
( double_divide(X_96,X_55) != double_divide(inverse(inverse(X_55)),X_96)
| double_divide(X_96,X_55) = double_divide(X_55,X_96) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_55)),X_96),double_divide(X_55,X_96)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
double_divide(X_96,X_55) = double_divide(X_55,X_96),
inference(resolve,[$cnf( $equal(double_divide(X_96,X_55),double_divide(inverse(inverse(X_55)),X_96)) )],[refute_0_310,refute_0_316]) ).
cnf(refute_0_318,plain,
( double_divide(X_96,X_55) != double_divide(X_55,X_96)
| double_divide(X_55,X_96) = double_divide(X_96,X_55) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_96,X_55))),bind(Y,$fot(double_divide(X_55,X_96)))]]) ).
cnf(refute_0_319,plain,
double_divide(X_55,X_96) = double_divide(X_96,X_55),
inference(resolve,[$cnf( $equal(double_divide(X_96,X_55),double_divide(X_55,X_96)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(double_divide(X_93,X_90),X_93) = double_divide(X_93,double_divide(X_93,X_90)),
inference(subst,[],[refute_0_319:[bind(X_55,$fot(double_divide(X_93,X_90))),bind(X_96,$fot(X_93))]]) ).
cnf(refute_0_321,plain,
( double_divide(double_divide(X_93,X_90),X_93) != X_90
| double_divide(double_divide(X_93,X_90),X_93) != double_divide(X_93,double_divide(X_93,X_90))
| double_divide(X_93,double_divide(X_93,X_90)) = X_90 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_93,X_90),X_93),X_90) ),[0],$fot(double_divide(X_93,double_divide(X_93,X_90)))]]) ).
cnf(refute_0_322,plain,
( double_divide(double_divide(X_93,X_90),X_93) != X_90
| double_divide(X_93,double_divide(X_93,X_90)) = X_90 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_93,X_90),X_93),double_divide(X_93,double_divide(X_93,X_90))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(X_93,double_divide(X_93,X_90)) = X_90,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_93,X_90),X_93),X_90) )],[refute_0_212,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(multiply(X_116,X_114),double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116)))) = double_divide(X_114,multiply(X_115,X_116)),
inference(subst,[],[refute_0_323:[bind(X_90,$fot(double_divide(X_114,multiply(X_115,X_116)))),bind(X_93,$fot(multiply(X_116,X_114)))]]) ).
cnf(refute_0_325,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(multiply(inverse(inverse(C)),inverse(X_27))))]]) ).
cnf(refute_0_326,plain,
multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)) = inverse(X_27),
inference(subst,[],[refute_0_77:[bind(C,$fot(inverse(C))),bind(X_7,$fot(X_27))]]) ).
cnf(refute_0_327,plain,
( multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)) != inverse(X_27)
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),A)),C) ),[0,1,0],$fot(inverse(X_27))]]) ).
cnf(refute_0_328,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),inverse(X_27)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_27)),inverse(C)),A)),C) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
inverse(inverse(C)) = C,
inference(subst,[],[refute_0_154:[bind(X_55,$fot(C))]]) ).
cnf(refute_0_331,plain,
multiply(inverse(inverse(C)),inverse(X_27)) = multiply(inverse(inverse(C)),inverse(X_27)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(C)),inverse(X_27)))]]) ).
cnf(refute_0_332,plain,
( multiply(inverse(inverse(C)),inverse(X_27)) != multiply(inverse(inverse(C)),inverse(X_27))
| inverse(inverse(C)) != C
| multiply(inverse(inverse(C)),inverse(X_27)) = multiply(C,inverse(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_27)),multiply(inverse(inverse(C)),inverse(X_27))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_333,plain,
( inverse(inverse(C)) != C
| multiply(inverse(inverse(C)),inverse(X_27)) = multiply(C,inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_27)),multiply(inverse(inverse(C)),inverse(X_27))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(inverse(inverse(C)),inverse(X_27)) = multiply(C,inverse(X_27)),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) = double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),
introduced(tautology,[refl,[$fot(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))))]]) ).
cnf(refute_0_336,plain,
( multiply(inverse(inverse(C)),inverse(X_27)) != multiply(C,inverse(X_27))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) != double_divide(A,multiply(inverse(inverse(C)),inverse(X_27)))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) = double_divide(A,multiply(C,inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),double_divide(A,multiply(inverse(inverse(C)),inverse(X_27)))) ),[1,1],$fot(multiply(C,inverse(X_27)))]]) ).
cnf(refute_0_337,plain,
( multiply(inverse(inverse(C)),inverse(X_27)) != multiply(C,inverse(X_27))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) = double_divide(A,multiply(C,inverse(X_27))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),double_divide(A,multiply(inverse(inverse(C)),inverse(X_27)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) = double_divide(A,multiply(C,inverse(X_27))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_27)),multiply(C,inverse(X_27))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)))]]) ).
cnf(refute_0_340,plain,
( double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) != double_divide(A,multiply(C,inverse(X_27)))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) != double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A))) ),[1,0],$fot(double_divide(A,multiply(C,inverse(X_27))))]]) ).
cnf(refute_0_341,plain,
( double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))) != double_divide(A,multiply(C,inverse(X_27)))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) = double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),double_divide(A,multiply(C,inverse(X_27)))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) != double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A))
| double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),C) ),[0],$fot(double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)))]]) ).
cnf(refute_0_344,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)) != C
| double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_27))),multiply(inverse(X_27),A)),C) )],[refute_0_329,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) = double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27)))),
inference(subst,[],[refute_0_319:[bind(X_55,$fot(double_divide(A,multiply(C,inverse(X_27))))),bind(X_96,$fot(multiply(inverse(X_27),A)))]]) ).
cnf(refute_0_347,plain,
( double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) != C
| double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) != double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27))))
| double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)),C) ),[0],$fot(double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27)))))]]) ).
cnf(refute_0_348,plain,
( double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)) != C
| double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)),double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27))))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(multiply(inverse(X_27),A),double_divide(A,multiply(C,inverse(X_27)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(C,inverse(X_27))),multiply(inverse(X_27),A)),C) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(multiply(inverse(inverse(X_55)),X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = X_112,
inference(subst,[],[refute_0_349:[bind(A,$fot(X_111)),bind(C,$fot(X_112)),bind(X_27,$fot(inverse(X_55)))]]) ).
cnf(refute_0_351,plain,
( double_divide(multiply(inverse(inverse(X_55)),X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != X_112
| inverse(inverse(X_55)) != X_55
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = X_112 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_55)),X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),X_112) ),[0,0,0],$fot(X_55)]]) ).
cnf(refute_0_352,plain,
( double_divide(multiply(inverse(inverse(X_55)),X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != X_112
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = X_112 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_351]) ).
cnf(refute_0_353,plain,
double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = X_112,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_55)),X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),X_112) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_112,inverse(inverse(X_55))) = multiply(X_112,inverse(inverse(X_55))),
introduced(tautology,[refl,[$fot(multiply(X_112,inverse(inverse(X_55))))]]) ).
cnf(refute_0_355,plain,
( multiply(X_112,inverse(inverse(X_55))) != multiply(X_112,inverse(inverse(X_55)))
| inverse(inverse(X_55)) != X_55
| multiply(X_112,inverse(inverse(X_55))) = multiply(X_112,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_112,inverse(inverse(X_55))),multiply(X_112,inverse(inverse(X_55)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_356,plain,
( inverse(inverse(X_55)) != X_55
| multiply(X_112,inverse(inverse(X_55))) = multiply(X_112,X_55) ),
inference(resolve,[$cnf( $equal(multiply(X_112,inverse(inverse(X_55))),multiply(X_112,inverse(inverse(X_55)))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(X_112,inverse(inverse(X_55))) = multiply(X_112,X_55),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) = double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))),
introduced(tautology,[refl,[$fot(double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))))]]) ).
cnf(refute_0_359,plain,
( multiply(X_112,inverse(inverse(X_55))) != multiply(X_112,X_55)
| double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) != double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))
| double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) = double_divide(X_111,multiply(X_112,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) ),[1,1],$fot(multiply(X_112,X_55))]]) ).
cnf(refute_0_360,plain,
( multiply(X_112,inverse(inverse(X_55))) != multiply(X_112,X_55)
| double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) = double_divide(X_111,multiply(X_112,X_55)) ),
inference(resolve,[$cnf( $equal(double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) = double_divide(X_111,multiply(X_112,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_112,inverse(inverse(X_55))),multiply(X_112,X_55)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))))]]) ).
cnf(refute_0_363,plain,
( double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) != double_divide(X_111,multiply(X_112,X_55))
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))))
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))))) ),[1,1],$fot(double_divide(X_111,multiply(X_112,X_55)))]]) ).
cnf(refute_0_364,plain,
( double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))) != double_divide(X_111,multiply(X_112,X_55))
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) = double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))),
inference(resolve,[$cnf( $equal(double_divide(X_111,multiply(X_112,inverse(inverse(X_55)))),double_divide(X_111,multiply(X_112,X_55))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != X_112
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55)))
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))) = X_112 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),X_112) ),[0],$fot(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))))]]) ).
cnf(refute_0_367,plain,
( double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))) != X_112
| double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))) = X_112 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,X_55))) = X_112,
inference(resolve,[$cnf( $equal(double_divide(multiply(X_55,X_111),double_divide(X_111,multiply(X_112,inverse(inverse(X_55))))),X_112) )],[refute_0_353,refute_0_367]) ).
cnf(refute_0_369,plain,
double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116))) = X_115,
inference(subst,[],[refute_0_368:[bind(X_111,$fot(X_114)),bind(X_112,$fot(X_115)),bind(X_55,$fot(X_116))]]) ).
cnf(refute_0_370,plain,
( double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116))) != X_115
| double_divide(multiply(X_116,X_114),double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116)))) != double_divide(X_114,multiply(X_115,X_116))
| double_divide(multiply(X_116,X_114),X_115) = double_divide(X_114,multiply(X_115,X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_116,X_114),double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116)))),double_divide(X_114,multiply(X_115,X_116))) ),[0,1],$fot(X_115)]]) ).
cnf(refute_0_371,plain,
( double_divide(multiply(X_116,X_114),double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116)))) != double_divide(X_114,multiply(X_115,X_116))
| double_divide(multiply(X_116,X_114),X_115) = double_divide(X_114,multiply(X_115,X_116)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116))),X_115) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
double_divide(multiply(X_116,X_114),X_115) = double_divide(X_114,multiply(X_115,X_116)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_116,X_114),double_divide(multiply(X_116,X_114),double_divide(X_114,multiply(X_115,X_116)))),double_divide(X_114,multiply(X_115,X_116))) )],[refute_0_324,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117) = double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),
inference(subst,[],[refute_0_372:[bind(X_114,$fot(inverse(X_118))),bind(X_115,$fot(X_117)),bind(X_116,$fot(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))]]) ).
cnf(refute_0_374,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_375,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)),double_divide(B,A)) ),[0,1,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_376,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) != double_divide(B,A)
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_375]) ).
cnf(refute_0_377,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)),double_divide(B,A)) )],[refute_0_374,refute_0_376]) ).
cnf(refute_0_378,plain,
double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),X_2)) = double_divide(B,A),
inference(subst,[],[refute_0_377:[bind(X_3,$fot(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))))]]) ).
cnf(refute_0_379,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)) = inverse(X_25),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(multiply(A,B))),bind(X_7,$fot(X_25))]]) ).
cnf(refute_0_380,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)) != inverse(X_25)
| double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),X_2)) != double_divide(B,A)
| double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),X_2)),double_divide(B,A)) ),[0,1,0],$fot(inverse(X_25))]]) ).
cnf(refute_0_381,plain,
( double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),X_2)) != double_divide(B,A)
| double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),inverse(X_25)) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(A,B)),X_2)),double_divide(B,A)) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),A)) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))))]]) ).
cnf(refute_0_384,plain,
multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)) = inverse(X_25),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_22)),bind(B,$fot(X_23)),bind(C,$fot(inverse(C))),bind(X_7,$fot(X_25))]]) ).
cnf(refute_0_385,plain,
( multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)) != inverse(X_25)
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),A)),C) ),[0,1,0],$fot(inverse(X_25))]]) ).
cnf(refute_0_386,plain,
( double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),inverse(X_25)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(multiply(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),inverse(C)),A)),C) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(X_23,inverse(inverse(C))) = multiply(X_23,inverse(inverse(C))),
introduced(tautology,[refl,[$fot(multiply(X_23,inverse(inverse(C))))]]) ).
cnf(refute_0_389,plain,
( multiply(X_23,inverse(inverse(C))) != multiply(X_23,inverse(inverse(C)))
| inverse(inverse(C)) != C
| multiply(X_23,inverse(inverse(C))) = multiply(X_23,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,inverse(inverse(C))),multiply(X_23,inverse(inverse(C)))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_390,plain,
( inverse(inverse(C)) != C
| multiply(X_23,inverse(inverse(C))) = multiply(X_23,C) ),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(inverse(C))),multiply(X_23,inverse(inverse(C)))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(X_23,inverse(inverse(C))) = multiply(X_23,C),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_330,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(multiply(X_23,inverse(inverse(C))),X_22) = multiply(multiply(X_23,inverse(inverse(C))),X_22),
introduced(tautology,[refl,[$fot(multiply(multiply(X_23,inverse(inverse(C))),X_22))]]) ).
cnf(refute_0_393,plain,
( multiply(X_23,inverse(inverse(C))) != multiply(X_23,C)
| multiply(multiply(X_23,inverse(inverse(C))),X_22) != multiply(multiply(X_23,inverse(inverse(C))),X_22)
| multiply(multiply(X_23,inverse(inverse(C))),X_22) = multiply(multiply(X_23,C),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,inverse(inverse(C))),X_22),multiply(multiply(X_23,inverse(inverse(C))),X_22)) ),[1,0],$fot(multiply(X_23,C))]]) ).
cnf(refute_0_394,plain,
( multiply(X_23,inverse(inverse(C))) != multiply(X_23,C)
| multiply(multiply(X_23,inverse(inverse(C))),X_22) = multiply(multiply(X_23,C),X_22) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,inverse(inverse(C))),X_22),multiply(multiply(X_23,inverse(inverse(C))),X_22)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(multiply(X_23,inverse(inverse(C))),X_22) = multiply(multiply(X_23,C),X_22),
inference(resolve,[$cnf( $equal(multiply(X_23,inverse(inverse(C))),multiply(X_23,C)) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) = multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)))]]) ).
cnf(refute_0_397,plain,
( multiply(multiply(X_23,inverse(inverse(C))),X_22) != multiply(multiply(X_23,C),X_22)
| multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) != multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25))
| multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) = multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25))) ),[1,0],$fot(multiply(multiply(X_23,C),X_22))]]) ).
cnf(refute_0_398,plain,
( multiply(multiply(X_23,inverse(inverse(C))),X_22) != multiply(multiply(X_23,C),X_22)
| multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) = multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) = multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,inverse(inverse(C))),X_22),multiply(multiply(X_23,C),X_22)) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) = multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)))]]) ).
cnf(refute_0_401,plain,
( multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) != multiply(multiply(multiply(X_23,C),X_22),inverse(X_25))
| multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) != multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))
| multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) = multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) ),[1,0],$fot(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)))]]) ).
cnf(refute_0_402,plain,
( multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)) != multiply(multiply(multiply(X_23,C),X_22),inverse(X_25))
| multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) = multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) = multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),multiply(multiply(multiply(X_23,C),X_22),inverse(X_25))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) = double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),
introduced(tautology,[refl,[$fot(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))))]]) ).
cnf(refute_0_405,plain,
( multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) != multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))
| double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) != double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)))
| double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) = double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)))) ),[1,1],$fot(multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)))]]) ).
cnf(refute_0_406,plain,
( multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)) != multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))
| double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) = double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) = double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23)),multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)))]]) ).
cnf(refute_0_409,plain,
( double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) != double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)))
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) != double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A))
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A))) ),[1,0],$fot(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))))]]) ).
cnf(refute_0_410,plain,
( double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))) != double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)))
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23)))) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
( double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) != C
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) != double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A))
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),C) ),[0],$fot(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)))]]) ).
cnf(refute_0_413,plain,
( double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) != C
| double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,C),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(multiply(multiply(multiply(X_23,inverse(inverse(C))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),A)),C) )],[refute_0_387,refute_0_413]) ).
cnf(refute_0_415,plain,
double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_414:[bind(A,$fot(X_2)),bind(C,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_416,plain,
( double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) != double_divide(B,A)
| double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_417,plain,
( double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)),inverse(multiply(A,B))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,multiply(multiply(multiply(multiply(X_23,inverse(multiply(A,B))),X_22),inverse(X_25)),double_divide(X_22,X_23))),multiply(inverse(X_25),X_2)),double_divide(B,A)) )],[refute_0_382,refute_0_417]) ).
cnf(refute_0_419,plain,
inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117),
inference(subst,[],[refute_0_418:[bind(A,$fot(X_117)),bind(B,$fot(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))]]) ).
cnf(refute_0_420,plain,
( double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117) != double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) != double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117)
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))))),bind(Y,$fot(double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117))),bind(Z,$fot(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))))]]) ).
cnf(refute_0_421,plain,
( double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117) != double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)),X_117),double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))) )],[refute_0_373,refute_0_421]) ).
cnf(refute_0_423,plain,
( double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) != double_divide(inverse(X_118),inverse(A))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) != double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),inverse(A)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))))),bind(Y,$fot(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))))),bind(Z,$fot(double_divide(inverse(X_118),inverse(A))))]]) ).
cnf(refute_0_424,plain,
( double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))) != double_divide(inverse(X_118),inverse(A))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),inverse(A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A)))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) = double_divide(inverse(X_118),inverse(A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_118),multiply(X_117,multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))))),double_divide(inverse(X_118),inverse(A))) )],[refute_0_306,refute_0_424]) ).
cnf(refute_0_426,plain,
( multiply(A,X_118) != inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))
| inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))) != double_divide(inverse(X_118),inverse(A))
| multiply(A,X_118) = double_divide(inverse(X_118),inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,X_118),double_divide(inverse(X_118),inverse(A))) ),[0],$fot(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))))]]) ).
cnf(refute_0_427,plain,
( multiply(A,X_118) != inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))
| multiply(A,X_118) = double_divide(inverse(X_118),inverse(A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118)))),double_divide(inverse(X_118),inverse(A))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(A,X_118) = double_divide(inverse(X_118),inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,X_118),inverse(multiply(X_117,multiply(multiply(double_divide(X_120,X_121),multiply(multiply(multiply(X_121,inverse(X_117)),X_120),inverse(A))),inverse(X_118))))) )],[refute_0_282,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(X_122,inverse(X_55)) = double_divide(inverse(inverse(X_55)),inverse(X_122)),
inference(subst,[],[refute_0_428:[bind(A,$fot(X_122)),bind(X_118,$fot(inverse(X_55)))]]) ).
cnf(refute_0_430,plain,
( multiply(X_122,inverse(X_55)) != double_divide(inverse(inverse(X_55)),inverse(X_122))
| inverse(inverse(X_55)) != X_55
| multiply(X_122,inverse(X_55)) = double_divide(X_55,inverse(X_122)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_122,inverse(X_55)),double_divide(inverse(inverse(X_55)),inverse(X_122))) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_431,plain,
( multiply(X_122,inverse(X_55)) != double_divide(inverse(inverse(X_55)),inverse(X_122))
| multiply(X_122,inverse(X_55)) = double_divide(X_55,inverse(X_122)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_154,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(X_122,inverse(X_55)) = double_divide(X_55,inverse(X_122)),
inference(resolve,[$cnf( $equal(multiply(X_122,inverse(X_55)),double_divide(inverse(inverse(X_55)),inverse(X_122))) )],[refute_0_429,refute_0_431]) ).
cnf(refute_0_433,plain,
( multiply(X_122,inverse(X_55)) != double_divide(X_55,inverse(X_122))
| double_divide(X_55,inverse(X_122)) = multiply(X_122,inverse(X_55)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_122,inverse(X_55)))),bind(Y,$fot(double_divide(X_55,inverse(X_122))))]]) ).
cnf(refute_0_434,plain,
double_divide(X_55,inverse(X_122)) = multiply(X_122,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(X_122,inverse(X_55)),double_divide(X_55,inverse(X_122))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(X_2,inverse(X_2)) = multiply(X_2,inverse(X_2)),
inference(subst,[],[refute_0_434:[bind(X_122,$fot(X_2)),bind(X_55,$fot(X_2))]]) ).
cnf(refute_0_436,plain,
multiply(X_85,double_divide(X_2,inverse(X_2))) = multiply(X_85,double_divide(X_2,inverse(X_2))),
introduced(tautology,[refl,[$fot(multiply(X_85,double_divide(X_2,inverse(X_2))))]]) ).
cnf(refute_0_437,plain,
( multiply(X_85,double_divide(X_2,inverse(X_2))) != multiply(X_85,double_divide(X_2,inverse(X_2)))
| double_divide(X_2,inverse(X_2)) != multiply(X_2,inverse(X_2))
| multiply(X_85,double_divide(X_2,inverse(X_2))) = multiply(X_85,multiply(X_2,inverse(X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),multiply(X_85,double_divide(X_2,inverse(X_2)))) ),[1,1],$fot(multiply(X_2,inverse(X_2)))]]) ).
cnf(refute_0_438,plain,
( double_divide(X_2,inverse(X_2)) != multiply(X_2,inverse(X_2))
| multiply(X_85,double_divide(X_2,inverse(X_2))) = multiply(X_85,multiply(X_2,inverse(X_2))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),multiply(X_85,double_divide(X_2,inverse(X_2)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_85,double_divide(X_2,inverse(X_2))) = multiply(X_85,multiply(X_2,inverse(X_2))),
inference(resolve,[$cnf( $equal(double_divide(X_2,inverse(X_2)),multiply(X_2,inverse(X_2))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(X_85,double_divide(X_2,inverse(X_2))) != X_85
| multiply(X_85,double_divide(X_2,inverse(X_2))) != multiply(X_85,multiply(X_2,inverse(X_2)))
| multiply(X_85,multiply(X_2,inverse(X_2))) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),X_85) ),[0],$fot(multiply(X_85,multiply(X_2,inverse(X_2))))]]) ).
cnf(refute_0_441,plain,
( multiply(X_85,double_divide(X_2,inverse(X_2))) != X_85
| multiply(X_85,multiply(X_2,inverse(X_2))) = X_85 ),
inference(resolve,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),multiply(X_85,multiply(X_2,inverse(X_2)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(X_85,multiply(X_2,inverse(X_2))) = X_85,
inference(resolve,[$cnf( $equal(multiply(X_85,double_divide(X_2,inverse(X_2))),X_85) )],[refute_0_247,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(subst,[],[refute_0_442:[bind(X_2,$fot(b2)),bind(X_85,$fot(a2))]]) ).
cnf(refute_0_444,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| a2 != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a2,multiply(b2,inverse(b2))),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_445,plain,
( a2 != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_445,refute_0_234]) ).
cnf(refute_0_447,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_448,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_447,refute_0_446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP598-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 09:56:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.70/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.88
% 0.70/0.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.78/0.94
%------------------------------------------------------------------------------