TSTP Solution File: GRP599-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 1.52s 1.71s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 136
% Number of leaves : 235
% Syntax : Number of clauses : 956 ( 493 unt; 0 nHn; 429 RR)
% Number of literals : 1636 (1635 equ; 684 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2868 ( 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(inverse(C),B)) = multiply(B,inverse(C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_6,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(inverse(double_divide(inverse(C),B)),A),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(inverse(C),B)),A))]]) ).
cnf(refute_0_7,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_8,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( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(double_divide(inverse(C),B)),A) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(C),B)),multiply(B,inverse(C))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(inverse(double_divide(inverse(C),B)),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(double_divide(inverse(C),B)))),bind(B,$fot(A))]]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(double_divide(inverse(C),B)),A) != multiply(multiply(B,inverse(C)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) != multiply(inverse(double_divide(inverse(C),B)),A)
| inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A) ),
inference(subst,[],[refute_0_12:[bind(X,$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_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(multiply(B,inverse(C)),A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(inverse(double_divide(inverse(C),B)),A)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(A,inverse(double_divide(inverse(C),B)))) = multiply(multiply(B,inverse(C)),A),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(C),B)),A),multiply(multiply(B,inverse(C)),A)) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))))]]) ).
cnf(refute_0_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)))))
| 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_18,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( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B)))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),multiply(multiply(B,inverse(C)),A)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != C
| double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) != double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))
| double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C ),
introduced(tautology,[equality,[$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_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),multiply(multiply(B,inverse(C)),A)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))),C) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(X_2,X_3))),bind(B,$fot(multiply(multiply(X_3,inverse(X_4)),X_2)))]]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) = X_4,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,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_26,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( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(X_4,multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),multiply(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),inverse(C)),double_divide(X_2,X_3))),C) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(X_45,multiply(multiply(multiply(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) = X_42,
inference(subst,[],[refute_0_27:[bind(C,$fot(X_42)),bind(X_2,$fot(X_43)),bind(X_3,$fot(multiply(inverse(inverse(X_45)),inverse(X_7)))),bind(X_4,$fot(X_45))]]) ).
cnf(refute_0_29,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(multiply(X_3,inverse(X_4)),X_2))),bind(B,$fot(double_divide(X_2,X_3)))]]) ).
cnf(refute_0_30,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) != inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)) != X_4
| multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4) ),
introduced(tautology,[equality,[$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_31,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( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)),X_4) )],[refute_0_24,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),X_2),double_divide(X_2,X_3)),inverse(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_4)),X_2)))) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))) = inverse(X_7),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(double_divide(A,B))),bind(X_3,$fot(multiply(multiply(B,inverse(C)),A))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_34,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_35,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( $equal(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),C) )],[refute_0_22,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(B,inverse(C)),A),inverse(X_7)),double_divide(A,B)),double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A))),inverse(X_7)) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = inverse(X_7),
inference(subst,[],[refute_0_36:[bind(A,$fot(double_divide(X_18,X_19))),bind(B,$fot(multiply(multiply(X_19,inverse(inverse(X_7))),X_18)))]]) ).
cnf(refute_0_38,plain,
multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)) = inverse(C),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_18)),bind(B,$fot(X_19)),bind(C,$fot(inverse(X_7))),bind(X_7,$fot(C))]]) ).
cnf(refute_0_39,plain,
( multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)) != inverse(C)
| multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),inverse(X_7)) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_40,plain,
( multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != inverse(X_7)
| multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),inverse(C)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(multiply(multiply(X_19,inverse(inverse(X_7))),X_18),inverse(C)),double_divide(X_18,X_19)),inverse(X_7)),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),inverse(X_7)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)) = inverse(X_7),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_18)),bind(B,$fot(X_19)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_43,plain,
multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) = multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),
introduced(tautology,[refl,[$fot(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))))]]) ).
cnf(refute_0_44,plain,
( multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) != multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)))
| double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) = multiply(inverse(C),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)))) ),[1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_45,plain,
( double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)) != inverse(X_7)
| multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) = multiply(inverse(C),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) = multiply(inverse(C),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18)),inverse(X_7)) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C))]]) ).
cnf(refute_0_48,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C)
| multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C)) ),[1,0],$fot(multiply(inverse(C),inverse(X_7)))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))) != multiply(inverse(C),inverse(X_7))
| multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = multiply(multiply(inverse(C),inverse(X_7)),C) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) = multiply(multiply(inverse(C),inverse(X_7)),C),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),multiply(inverse(C),inverse(X_7))) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != multiply(multiply(inverse(C),inverse(X_7)),C)
| multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(C),inverse(X_7)),C))]]) ).
cnf(refute_0_52,plain,
( multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C) != inverse(X_7)
| multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),multiply(multiply(inverse(C),inverse(X_7)),C)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(multiply(inverse(C),inverse(X_7)),C) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),double_divide(double_divide(X_18,X_19),multiply(multiply(X_19,inverse(inverse(X_7))),X_18))),C),inverse(X_7)) )],[refute_0_41,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)) = inverse(X_7),
inference(subst,[],[refute_0_53:[bind(C,$fot(inverse(X_45)))]]) ).
cnf(refute_0_55,plain,
( multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)) != inverse(X_7)
| double_divide(X_45,multiply(multiply(multiply(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) != X_42
| double_divide(X_45,multiply(multiply(multiply(inverse(X_7),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_45,multiply(multiply(multiply(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))),X_42) ),[0,1,0,0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_56,plain,
( double_divide(X_45,multiply(multiply(multiply(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) != X_42
| double_divide(X_45,multiply(multiply(multiply(inverse(X_7),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),inverse(X_7)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(X_45,multiply(multiply(multiply(inverse(X_7),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))) = X_42,
inference(resolve,[$cnf( $equal(double_divide(X_45,multiply(multiply(multiply(multiply(multiply(inverse(inverse(X_45)),inverse(X_7)),inverse(X_45)),X_43),inverse(X_42)),double_divide(X_43,multiply(inverse(inverse(X_45)),inverse(X_7))))),X_42) )],[refute_0_28,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(X_83,multiply(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81,
inference(subst,[],[refute_0_57:[bind(X_42,$fot(X_81)),bind(X_43,$fot(X_82)),bind(X_45,$fot(X_83)),bind(X_7,$fot(X_82))]]) ).
cnf(refute_0_59,plain,
multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(double_divide(inverse(X_4),X_6))),bind(X_3,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_60,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(inverse(X_4))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_61,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_62,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( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),inverse(X_7)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(X_4)),double_divide(inverse(X_4),X_6)),double_divide(double_divide(inverse(X_4),X_6),multiply(X_6,inverse(X_7)))),inverse(X_4)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) = inverse(X_4),
inference(subst,[],[refute_0_63:[bind(X_6,$fot(multiply(inverse(X_53),X_53)))]]) ).
cnf(refute_0_65,plain,
multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) = inverse(X_7),
inference(subst,[],[refute_0_53:[bind(C,$fot(double_divide(X_52,inverse(X_52))))]]) ).
cnf(refute_0_66,plain,
multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(inverse(X_2)))]]) ).
cnf(refute_0_67,plain,
multiply(multiply(inverse(X_2),inverse(X_4)),X_2) = inverse(X_4),
inference(subst,[],[refute_0_53:[bind(C,$fot(X_2)),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_68,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_69,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( $equal(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),inverse(X_4)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(inverse(X_4),double_divide(X_2,inverse(X_2))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_2),inverse(X_4)),X_2),double_divide(X_2,inverse(X_2))),inverse(X_4)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(double_divide(B,A)),double_divide(X_26,inverse(X_26))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_70:[bind(X_2,$fot(X_26)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_72,plain,
( multiply(inverse(double_divide(B,A)),double_divide(X_26,inverse(X_26))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(X_26,inverse(X_26))),inverse(double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(double_divide(B,A)),double_divide(X_26,inverse(X_26))) != inverse(double_divide(B,A))
| multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(X_26,inverse(X_26))),inverse(double_divide(B,A))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(X_26,inverse(X_26))),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) != inverse(double_divide(B,A))
| multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(multiply(A,B),double_divide(X_26,inverse(X_26))) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(X_26,inverse(X_26))),inverse(double_divide(B,A))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) = multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),
inference(subst,[],[refute_0_77:[bind(A,$fot(inverse(double_divide(X_52,inverse(X_52))))),bind(B,$fot(inverse(X_7))),bind(X_26,$fot(X_52))]]) ).
cnf(refute_0_79,plain,
( multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))
| multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != inverse(X_7)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),inverse(X_7)) ),[0],$fot(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)))]]) ).
cnf(refute_0_80,plain,
( multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))) != inverse(X_7)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),double_divide(X_52,inverse(X_52))),inverse(X_7)) )],[refute_0_65,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(double_divide(X_52,inverse(X_52))) = multiply(inverse(X_52),X_52),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_52))),bind(B,$fot(X_52))]]) ).
cnf(refute_0_83,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))
| inverse(double_divide(X_52,inverse(X_52))) != multiply(inverse(X_52),X_52)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) ),[1,0],$fot(multiply(inverse(X_52),X_52))]]) ).
cnf(refute_0_85,plain,
( inverse(double_divide(X_52,inverse(X_52))) != multiply(inverse(X_52),X_52)
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) = multiply(multiply(inverse(X_52),X_52),inverse(X_7)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_52,inverse(X_52))),multiply(inverse(X_52),X_52)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != multiply(multiply(inverse(X_52),X_52),inverse(X_7))
| multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != inverse(X_7)
| multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),inverse(X_7)) ),[0],$fot(multiply(multiply(inverse(X_52),X_52),inverse(X_7)))]]) ).
cnf(refute_0_88,plain,
( multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)) != inverse(X_7)
| multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),multiply(multiply(inverse(X_52),X_52),inverse(X_7))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(multiply(inverse(X_52),X_52),inverse(X_7)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_52,inverse(X_52))),inverse(X_7)),inverse(X_7)) )],[refute_0_81,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(multiply(inverse(X_53),X_53),inverse(X_7)) = inverse(X_7),
inference(subst,[],[refute_0_89:[bind(X_52,$fot(X_53))]]) ).
cnf(refute_0_91,plain,
( multiply(multiply(inverse(X_53),X_53),inverse(X_7)) != inverse(X_7)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))),inverse(X_4)) ),[0,1,1],$fot(inverse(X_7))]]) ).
cnf(refute_0_92,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_53),X_53),inverse(X_7)),inverse(X_7)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),multiply(multiply(inverse(X_53),X_53),inverse(X_7)))),inverse(X_4)) )],[refute_0_64,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)) = double_divide(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_95,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_96,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( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(A,B)),X_2)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(double_divide(B,A))),X_2)),double_divide(B,A)) )],[refute_0_94,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(double_divide(multiply(X_8,X_9),X_3))),bind(X_3,$fot(multiply(X_3,inverse(X_4))))]]) ).
cnf(refute_0_99,plain,
multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_100,plain,
( multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)) != inverse(X_4)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) != double_divide(X_9,X_8)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))),double_divide(X_9,X_8)) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))) != double_divide(X_9,X_8)
| double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3)),inverse(X_4)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),X_3),multiply(X_3,inverse(X_4))),multiply(multiply(multiply(X_3,inverse(X_4)),multiply(X_8,X_9)),double_divide(multiply(X_8,X_9),X_3))),double_divide(X_9,X_8)) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(subst,[],[refute_0_102:[bind(X_8,$fot(multiply(inverse(X_53),X_53))),bind(X_9,$fot(inverse(X_54)))]]) ).
cnf(refute_0_104,plain,
multiply(multiply(inverse(X_53),X_53),inverse(X_54)) = inverse(X_54),
inference(subst,[],[refute_0_89:[bind(X_52,$fot(X_53)),bind(X_7,$fot(X_54))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(inverse(X_53),X_53),inverse(X_54)) != inverse(X_54)
| double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) ),[0,0,0,0],$fot(inverse(X_54))]]) ).
cnf(refute_0_106,plain,
( double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),inverse(X_54)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(multiply(inverse(X_53),X_53),inverse(X_54)),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(inverse(C),X_6))),bind(B,$fot(multiply(X_6,inverse(X_7))))]]) ).
cnf(refute_0_109,plain,
multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)) = inverse(X_7),
inference(subst,[],[refute_0_32:[bind(X_2,$fot(inverse(C))),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_110,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_111,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( $equal(multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6)),inverse(X_7)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),X_6),multiply(X_6,inverse(X_7))),multiply(multiply(multiply(X_6,inverse(X_7)),inverse(C)),double_divide(inverse(C),X_6))),C) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) = X_54,
inference(subst,[],[refute_0_112:[bind(C,$fot(X_54)),bind(X_6,$fot(X_3)),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_114,plain,
( double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != X_54
| double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) ),[0],$fot(X_54)]]) ).
cnf(refute_0_115,plain,
( double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)) != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),X_54) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
X_54 = double_divide(inverse(X_54),multiply(inverse(X_53),X_53)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_54),X_3),multiply(X_3,inverse(X_4))),inverse(X_4)),double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_107,refute_0_115]) ).
cnf(refute_0_117,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(X_53),X_53))
| double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) = X_54 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_54)),bind(Y,$fot(double_divide(inverse(X_54),multiply(inverse(X_53),X_53))))]]) ).
cnf(refute_0_118,plain,
double_divide(inverse(X_54),multiply(inverse(X_53),X_53)) = X_54,
inference(resolve,[$cnf( $equal(X_54,double_divide(inverse(X_54),multiply(inverse(X_53),X_53))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) = X_4,
inference(subst,[],[refute_0_118:[bind(X_54,$fot(X_4))]]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))]]) ).
cnf(refute_0_121,plain,
( double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))
| double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) != X_4
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_122,plain,
( double_divide(inverse(X_4),multiply(inverse(X_53),X_53)) != X_4
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) = double_divide(X_4,inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),X_4) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))))]]) ).
cnf(refute_0_125,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))
| double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))) ),[1,1],$fot(double_divide(X_4,inverse(X_7)))]]) ).
cnf(refute_0_126,plain,
( double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)) != double_divide(X_4,inverse(X_7))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) = multiply(inverse(X_7),double_divide(X_4,inverse(X_7))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7)),double_divide(X_4,inverse(X_7))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))
| multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),inverse(X_4)) ),[0],$fot(multiply(inverse(X_7),double_divide(X_4,inverse(X_7))))]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))) != inverse(X_4)
| multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),multiply(inverse(X_7),double_divide(X_4,inverse(X_7)))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(X_7),double_divide(X_4,inverse(X_7))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),double_divide(double_divide(inverse(X_4),multiply(inverse(X_53),X_53)),inverse(X_7))),inverse(X_4)) )],[refute_0_93,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(inverse(X_58),double_divide(double_divide(A,inverse(A)),inverse(X_58))) = inverse(double_divide(A,inverse(A))),
inference(subst,[],[refute_0_130:[bind(X_4,$fot(double_divide(A,inverse(A)))),bind(X_7,$fot(X_58))]]) ).
cnf(refute_0_132,plain,
double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)) = C,
inference(subst,[],[refute_0_22:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_133,plain,
multiply(multiply(inverse(A),inverse(C)),A) = inverse(C),
inference(subst,[],[refute_0_53:[bind(C,$fot(A)),bind(X_7,$fot(C))]]) ).
cnf(refute_0_134,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_135,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( $equal(multiply(multiply(inverse(A),inverse(C)),A),inverse(C)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(double_divide(A,inverse(A)),inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),multiply(multiply(inverse(A),inverse(C)),A)),C) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(double_divide(A,inverse(A)),inverse(X_58)) = X_58,
inference(subst,[],[refute_0_136:[bind(C,$fot(X_58))]]) ).
cnf(refute_0_138,plain,
( multiply(inverse(X_58),double_divide(double_divide(A,inverse(A)),inverse(X_58))) != inverse(double_divide(A,inverse(A)))
| double_divide(double_divide(A,inverse(A)),inverse(X_58)) != X_58
| multiply(inverse(X_58),X_58) = inverse(double_divide(A,inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),double_divide(double_divide(A,inverse(A)),inverse(X_58))),inverse(double_divide(A,inverse(A)))) ),[0,1],$fot(X_58)]]) ).
cnf(refute_0_139,plain,
( multiply(inverse(X_58),double_divide(double_divide(A,inverse(A)),inverse(X_58))) != inverse(double_divide(A,inverse(A)))
| multiply(inverse(X_58),X_58) = inverse(double_divide(A,inverse(A))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,inverse(A)),inverse(X_58)),X_58) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(inverse(X_58),X_58) = inverse(double_divide(A,inverse(A))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),double_divide(double_divide(A,inverse(A)),inverse(X_58))),inverse(double_divide(A,inverse(A)))) )],[refute_0_131,refute_0_139]) ).
cnf(refute_0_141,plain,
inverse(double_divide(A,inverse(A))) = multiply(inverse(A),A),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(A))),bind(B,$fot(A))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(X_58),X_58) != inverse(double_divide(A,inverse(A)))
| inverse(double_divide(A,inverse(A))) != multiply(inverse(A),A)
| multiply(inverse(X_58),X_58) = multiply(inverse(A),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_58),X_58),multiply(inverse(A),A)) ),[0],$fot(inverse(double_divide(A,inverse(A))))]]) ).
cnf(refute_0_143,plain,
( multiply(inverse(X_58),X_58) != inverse(double_divide(A,inverse(A)))
| multiply(inverse(X_58),X_58) = multiply(inverse(A),A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(A))),multiply(inverse(A),A)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(X_58),X_58) = multiply(inverse(A),A),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),X_58),inverse(double_divide(A,inverse(A)))) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(X_58),X_58) = multiply(inverse(X_82),X_82),
inference(subst,[],[refute_0_144:[bind(A,$fot(X_82))]]) ).
cnf(refute_0_146,plain,
( multiply(inverse(X_58),X_58) != multiply(inverse(X_82),X_82)
| multiply(inverse(X_82),X_82) = multiply(inverse(X_58),X_58) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_58),X_58))),bind(Y,$fot(multiply(inverse(X_82),X_82)))]]) ).
cnf(refute_0_147,plain,
multiply(inverse(X_82),X_82) = multiply(inverse(X_58),X_58),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),X_58),multiply(inverse(X_82),X_82)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
( multiply(inverse(X_82),X_82) != multiply(inverse(X_58),X_58)
| double_divide(X_83,multiply(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != X_81
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),X_81) ),[0,1,0,0],$fot(multiply(inverse(X_58),X_58))]]) ).
cnf(refute_0_149,plain,
( double_divide(X_83,multiply(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != X_81
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_82),X_82),multiply(inverse(X_58),X_58)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81,
inference(resolve,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_82),X_82),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),X_81) )],[refute_0_58,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiply(inverse(X_58),X_58),inverse(X_81)) = inverse(X_81),
inference(subst,[],[refute_0_89:[bind(X_52,$fot(X_58)),bind(X_7,$fot(X_81))]]) ).
cnf(refute_0_152,plain,
multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) = multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))]]) ).
cnf(refute_0_153,plain,
( multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) != multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))
| multiply(multiply(inverse(X_58),X_58),inverse(X_81)) != inverse(X_81)
| multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) = multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))),multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) ),[1,0],$fot(inverse(X_81))]]) ).
cnf(refute_0_154,plain,
( multiply(multiply(inverse(X_58),X_58),inverse(X_81)) != inverse(X_81)
| multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) = multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))),multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) = multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),inverse(X_81)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),
introduced(tautology,[refl,[$fot(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))))]]) ).
cnf(refute_0_157,plain,
( multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) != multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))) ),[1,1],$fot(multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))]]) ).
cnf(refute_0_158,plain,
( multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))) != multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) ),
inference(resolve,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))),multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != X_81
| double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))
| double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),X_81) ),[0],$fot(double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))))]]) ).
cnf(refute_0_161,plain,
( double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) != X_81
| double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81 ),
inference(resolve,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82)))))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
double_divide(X_83,multiply(inverse(X_81),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))) = X_81,
inference(resolve,[$cnf( $equal(double_divide(X_83,multiply(multiply(multiply(inverse(X_58),X_58),inverse(X_81)),double_divide(X_82,multiply(inverse(inverse(X_83)),inverse(X_82))))),X_81) )],[refute_0_150,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(X_87,multiply(inverse(X_85),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))))) = X_85,
inference(subst,[],[refute_0_162:[bind(X_81,$fot(X_85)),bind(X_82,$fot(inverse(X_87))),bind(X_83,$fot(X_87))]]) ).
cnf(refute_0_164,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(multiply(inverse(B),inverse(X_23)),B)),X_2)) = double_divide(B,multiply(inverse(B),inverse(X_23))),
inference(subst,[],[refute_0_97:[bind(A,$fot(multiply(inverse(B),inverse(X_23))))]]) ).
cnf(refute_0_165,plain,
multiply(multiply(inverse(B),inverse(X_23)),B) = inverse(X_23),
inference(subst,[],[refute_0_53:[bind(C,$fot(B)),bind(X_7,$fot(X_23))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(inverse(B),inverse(X_23)),B) != inverse(X_23)
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(multiply(inverse(B),inverse(X_23)),B)),X_2)) != double_divide(B,multiply(inverse(B),inverse(X_23)))
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) = double_divide(B,multiply(inverse(B),inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(multiply(inverse(B),inverse(X_23)),B)),X_2)),double_divide(B,multiply(inverse(B),inverse(X_23)))) ),[0,1,0,1],$fot(inverse(X_23))]]) ).
cnf(refute_0_167,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(multiply(inverse(B),inverse(X_23)),B)),X_2)) != double_divide(B,multiply(inverse(B),inverse(X_23)))
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) = double_divide(B,multiply(inverse(B),inverse(X_23))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),inverse(X_23)),B),inverse(X_23)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) = double_divide(B,multiply(inverse(B),inverse(X_23))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,multiply(multiply(inverse(B),inverse(X_23)),B)),X_2)),double_divide(B,multiply(inverse(B),inverse(X_23)))) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) = X_23,
inference(subst,[],[refute_0_22:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_23))]]) ).
cnf(refute_0_170,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) != X_23
| double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) != double_divide(B,multiply(inverse(B),inverse(X_23)))
| X_23 = double_divide(B,multiply(inverse(B),inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)),double_divide(B,multiply(inverse(B),inverse(X_23)))) ),[0],$fot(X_23)]]) ).
cnf(refute_0_171,plain,
( double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)) != double_divide(B,multiply(inverse(B),inverse(X_23)))
| X_23 = double_divide(B,multiply(inverse(B),inverse(X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)),X_23) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
X_23 = double_divide(B,multiply(inverse(B),inverse(X_23))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_2,X_3),multiply(multiply(X_3,inverse(X_23)),X_2)),double_divide(B,multiply(inverse(B),inverse(X_23)))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
inverse(X_87) = double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))),
inference(subst,[],[refute_0_172:[bind(B,$fot(inverse(X_87))),bind(X_23,$fot(inverse(X_87)))]]) ).
cnf(refute_0_174,plain,
( inverse(X_87) != double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87))))
| double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))) = inverse(X_87) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_87))),bind(Y,$fot(double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87))))))]]) ).
cnf(refute_0_175,plain,
double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))) = inverse(X_87),
inference(resolve,[$cnf( $equal(inverse(X_87),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87))))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( double_divide(X_87,multiply(inverse(X_85),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))))) != X_85
| double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))) != inverse(X_87)
| double_divide(X_87,multiply(inverse(X_85),inverse(X_87))) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_87,multiply(inverse(X_85),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))))),X_85) ),[0,1,1],$fot(inverse(X_87))]]) ).
cnf(refute_0_177,plain,
( double_divide(X_87,multiply(inverse(X_85),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))))) != X_85
| double_divide(X_87,multiply(inverse(X_85),inverse(X_87))) = X_85 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))),inverse(X_87)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(X_87,multiply(inverse(X_85),inverse(X_87))) = X_85,
inference(resolve,[$cnf( $equal(double_divide(X_87,multiply(inverse(X_85),double_divide(inverse(X_87),multiply(inverse(inverse(X_87)),inverse(inverse(X_87)))))),X_85) )],[refute_0_163,refute_0_177]) ).
cnf(refute_0_179,plain,
double_divide(X_92,multiply(inverse(inverse(X_54)),inverse(X_92))) = inverse(X_54),
inference(subst,[],[refute_0_178:[bind(X_85,$fot(inverse(X_54))),bind(X_87,$fot(X_92))]]) ).
cnf(refute_0_180,plain,
double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) = double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))),
inference(subst,[],[refute_0_162:[bind(X_81,$fot(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))),bind(X_82,$fot(X_86)),bind(X_83,$fot(inverse(X_54)))]]) ).
cnf(refute_0_181,plain,
X_54 = double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))),
inference(subst,[],[refute_0_116:[bind(X_53,$fot(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))))]]) ).
cnf(refute_0_182,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))))
| double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) = X_54 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_54)),bind(Y,$fot(double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))))))]]) ).
cnf(refute_0_183,plain,
double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) = X_54,
inference(resolve,[$cnf( $equal(X_54,double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
( double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) != X_54
| double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) != double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))
| X_54 = double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))) ),[0],$fot(X_54)]]) ).
cnf(refute_0_185,plain,
( double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))) != double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))
| X_54 = double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))),X_54) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_54 = double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))),double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))) )],[refute_0_180,refute_0_185]) ).
cnf(refute_0_187,plain,
double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))) = inverse(inverse(X_54)),
inference(subst,[],[refute_0_178:[bind(X_85,$fot(inverse(inverse(X_54)))),bind(X_87,$fot(X_86))]]) ).
cnf(refute_0_188,plain,
( X_54 != double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))
| double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))) != inverse(inverse(X_54))
| X_54 = inverse(inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_54,inverse(inverse(X_54))) ),[0],$fot(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))))]]) ).
cnf(refute_0_189,plain,
( X_54 != double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))
| X_54 = inverse(inverse(X_54)) ),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86))),inverse(inverse(X_54))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
X_54 = inverse(inverse(X_54)),
inference(resolve,[$cnf( $equal(X_54,double_divide(X_86,multiply(inverse(inverse(inverse(X_54))),inverse(X_86)))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( X_54 != inverse(inverse(X_54))
| inverse(inverse(X_54)) = X_54 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_54)),bind(Y,$fot(inverse(inverse(X_54))))]]) ).
cnf(refute_0_192,plain,
inverse(inverse(X_54)) = X_54,
inference(resolve,[$cnf( $equal(X_54,inverse(inverse(X_54))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
( double_divide(X_92,multiply(inverse(inverse(X_54)),inverse(X_92))) != inverse(X_54)
| inverse(inverse(X_54)) != X_54
| double_divide(X_92,multiply(X_54,inverse(X_92))) = inverse(X_54) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_92,multiply(inverse(inverse(X_54)),inverse(X_92))),inverse(X_54)) ),[0,1,0],$fot(X_54)]]) ).
cnf(refute_0_194,plain,
( double_divide(X_92,multiply(inverse(inverse(X_54)),inverse(X_92))) != inverse(X_54)
| double_divide(X_92,multiply(X_54,inverse(X_92))) = inverse(X_54) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
double_divide(X_92,multiply(X_54,inverse(X_92))) = inverse(X_54),
inference(resolve,[$cnf( $equal(double_divide(X_92,multiply(inverse(inverse(X_54)),inverse(X_92))),inverse(X_54)) )],[refute_0_179,refute_0_194]) ).
cnf(refute_0_196,plain,
double_divide(X_92,multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92))) = inverse(multiply(inverse(inverse(X_92)),X_128)),
inference(subst,[],[refute_0_195:[bind(X_54,$fot(multiply(inverse(inverse(X_92)),X_128)))]]) ).
cnf(refute_0_197,plain,
multiply(multiply(inverse(C),inverse(inverse(X_88))),C) = inverse(inverse(X_88)),
inference(subst,[],[refute_0_53:[bind(X_7,$fot(inverse(X_88)))]]) ).
cnf(refute_0_198,plain,
X_88 = inverse(inverse(X_88)),
inference(subst,[],[refute_0_190:[bind(X_54,$fot(X_88))]]) ).
cnf(refute_0_199,plain,
( X_88 != inverse(inverse(X_88))
| inverse(inverse(X_88)) = X_88 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_88)),bind(Y,$fot(inverse(inverse(X_88))))]]) ).
cnf(refute_0_200,plain,
inverse(inverse(X_88)) = X_88,
inference(resolve,[$cnf( $equal(X_88,inverse(inverse(X_88))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(multiply(inverse(C),inverse(inverse(X_88))),C) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(multiply(inverse(C),X_88),C) = inverse(inverse(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),inverse(inverse(X_88))),C),inverse(inverse(X_88))) ),[0,0,1],$fot(X_88)]]) ).
cnf(refute_0_202,plain,
( multiply(multiply(inverse(C),inverse(inverse(X_88))),C) != inverse(inverse(X_88))
| multiply(multiply(inverse(C),X_88),C) = inverse(inverse(X_88)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(multiply(inverse(C),X_88),C) = inverse(inverse(X_88)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),inverse(inverse(X_88))),C),inverse(inverse(X_88))) )],[refute_0_197,refute_0_202]) ).
cnf(refute_0_204,plain,
( multiply(multiply(inverse(C),X_88),C) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(multiply(inverse(C),X_88),C) = X_88 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(C),X_88),C),X_88) ),[0],$fot(inverse(inverse(X_88)))]]) ).
cnf(refute_0_205,plain,
( multiply(multiply(inverse(C),X_88),C) != inverse(inverse(X_88))
| multiply(multiply(inverse(C),X_88),C) = X_88 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(multiply(inverse(C),X_88),C) = X_88,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_88),C),inverse(inverse(X_88))) )],[refute_0_203,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92)) = X_128,
inference(subst,[],[refute_0_206:[bind(C,$fot(inverse(X_92))),bind(X_88,$fot(X_128))]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92)) != X_128
| double_divide(X_92,multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92))) != inverse(multiply(inverse(inverse(X_92)),X_128))
| double_divide(X_92,X_128) = inverse(multiply(inverse(inverse(X_92)),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_92,multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92))),inverse(multiply(inverse(inverse(X_92)),X_128))) ),[0,1],$fot(X_128)]]) ).
cnf(refute_0_209,plain,
( double_divide(X_92,multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92))) != inverse(multiply(inverse(inverse(X_92)),X_128))
| double_divide(X_92,X_128) = inverse(multiply(inverse(inverse(X_92)),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92)),X_128) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
double_divide(X_92,X_128) = inverse(multiply(inverse(inverse(X_92)),X_128)),
inference(resolve,[$cnf( $equal(double_divide(X_92,multiply(multiply(inverse(inverse(X_92)),X_128),inverse(X_92))),inverse(multiply(inverse(inverse(X_92)),X_128))) )],[refute_0_196,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(X_88) = double_divide(B,multiply(inverse(B),inverse(inverse(X_88)))),
inference(subst,[],[refute_0_172:[bind(X_23,$fot(inverse(X_88)))]]) ).
cnf(refute_0_212,plain,
( inverse(X_88) != double_divide(B,multiply(inverse(B),inverse(inverse(X_88))))
| inverse(inverse(X_88)) != X_88
| inverse(X_88) = double_divide(B,multiply(inverse(B),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_88),double_divide(B,multiply(inverse(B),inverse(inverse(X_88))))) ),[1,1,1],$fot(X_88)]]) ).
cnf(refute_0_213,plain,
( inverse(X_88) != double_divide(B,multiply(inverse(B),inverse(inverse(X_88))))
| inverse(X_88) = double_divide(B,multiply(inverse(B),X_88)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(X_88) = double_divide(B,multiply(inverse(B),X_88)),
inference(resolve,[$cnf( $equal(inverse(X_88),double_divide(B,multiply(inverse(B),inverse(inverse(X_88))))) )],[refute_0_211,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(double_divide(X_4,inverse(X_111))) = double_divide(X_111,multiply(inverse(X_111),double_divide(X_4,inverse(X_111)))),
inference(subst,[],[refute_0_214:[bind(B,$fot(X_111)),bind(X_88,$fot(double_divide(X_4,inverse(X_111))))]]) ).
cnf(refute_0_216,plain,
multiply(inverse(inverse(X_88)),double_divide(X_4,inverse(inverse(X_88)))) = inverse(X_4),
inference(subst,[],[refute_0_130:[bind(X_7,$fot(inverse(X_88)))]]) ).
cnf(refute_0_217,plain,
( multiply(inverse(inverse(X_88)),double_divide(X_4,inverse(inverse(X_88)))) != inverse(X_4)
| inverse(inverse(X_88)) != X_88
| multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_88)),double_divide(X_4,inverse(inverse(X_88)))),inverse(X_4)) ),[0,0],$fot(X_88)]]) ).
cnf(refute_0_218,plain,
( multiply(inverse(inverse(X_88)),double_divide(X_4,inverse(inverse(X_88)))) != inverse(X_4)
| multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_88)),double_divide(X_4,inverse(inverse(X_88)))),inverse(X_4)) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(X_4,inverse(inverse(X_88))) = double_divide(X_4,inverse(inverse(X_88))),
introduced(tautology,[refl,[$fot(double_divide(X_4,inverse(inverse(X_88))))]]) ).
cnf(refute_0_221,plain,
( double_divide(X_4,inverse(inverse(X_88))) != double_divide(X_4,inverse(inverse(X_88)))
| inverse(inverse(X_88)) != X_88
| double_divide(X_4,inverse(inverse(X_88))) = double_divide(X_4,X_88) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_88))),double_divide(X_4,inverse(inverse(X_88)))) ),[1,1],$fot(X_88)]]) ).
cnf(refute_0_222,plain,
( inverse(inverse(X_88)) != X_88
| double_divide(X_4,inverse(inverse(X_88))) = double_divide(X_4,X_88) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_88))),double_divide(X_4,inverse(inverse(X_88)))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
double_divide(X_4,inverse(inverse(X_88))) = double_divide(X_4,X_88),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),
introduced(tautology,[refl,[$fot(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))))]]) ).
cnf(refute_0_225,plain,
( multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) != multiply(X_88,double_divide(X_4,inverse(inverse(X_88))))
| double_divide(X_4,inverse(inverse(X_88))) != double_divide(X_4,X_88)
| multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = multiply(X_88,double_divide(X_4,X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),multiply(X_88,double_divide(X_4,inverse(inverse(X_88))))) ),[1,1],$fot(double_divide(X_4,X_88))]]) ).
cnf(refute_0_226,plain,
( double_divide(X_4,inverse(inverse(X_88))) != double_divide(X_4,X_88)
| multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = multiply(X_88,double_divide(X_4,X_88)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),multiply(X_88,double_divide(X_4,inverse(inverse(X_88))))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) = multiply(X_88,double_divide(X_4,X_88)),
inference(resolve,[$cnf( $equal(double_divide(X_4,inverse(inverse(X_88))),double_divide(X_4,X_88)) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) != multiply(X_88,double_divide(X_4,X_88))
| multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) != inverse(X_4)
| multiply(X_88,double_divide(X_4,X_88)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),inverse(X_4)) ),[0],$fot(multiply(X_88,double_divide(X_4,X_88)))]]) ).
cnf(refute_0_229,plain,
( multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))) != inverse(X_4)
| multiply(X_88,double_divide(X_4,X_88)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),multiply(X_88,double_divide(X_4,X_88))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(X_88,double_divide(X_4,X_88)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_4,inverse(inverse(X_88)))),inverse(X_4)) )],[refute_0_219,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(inverse(X_111),double_divide(X_4,inverse(X_111))) = inverse(X_4),
inference(subst,[],[refute_0_230:[bind(X_88,$fot(inverse(X_111)))]]) ).
cnf(refute_0_232,plain,
( multiply(inverse(X_111),double_divide(X_4,inverse(X_111))) != inverse(X_4)
| inverse(double_divide(X_4,inverse(X_111))) != double_divide(X_111,multiply(inverse(X_111),double_divide(X_4,inverse(X_111))))
| inverse(double_divide(X_4,inverse(X_111))) = double_divide(X_111,inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_4,inverse(X_111))),double_divide(X_111,multiply(inverse(X_111),double_divide(X_4,inverse(X_111))))) ),[1,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_233,plain,
( inverse(double_divide(X_4,inverse(X_111))) != double_divide(X_111,multiply(inverse(X_111),double_divide(X_4,inverse(X_111))))
| inverse(double_divide(X_4,inverse(X_111))) = double_divide(X_111,inverse(X_4)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),double_divide(X_4,inverse(X_111))),inverse(X_4)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
inverse(double_divide(X_4,inverse(X_111))) = double_divide(X_111,inverse(X_4)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,inverse(X_111))),double_divide(X_111,multiply(inverse(X_111),double_divide(X_4,inverse(X_111))))) )],[refute_0_215,refute_0_233]) ).
cnf(refute_0_235,plain,
inverse(double_divide(X_4,inverse(X_111))) = multiply(inverse(X_111),X_4),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_111))),bind(B,$fot(X_4))]]) ).
cnf(refute_0_236,plain,
( inverse(double_divide(X_4,inverse(X_111))) != multiply(inverse(X_111),X_4)
| inverse(double_divide(X_4,inverse(X_111))) != double_divide(X_111,inverse(X_4))
| multiply(inverse(X_111),X_4) = double_divide(X_111,inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_4,inverse(X_111))),double_divide(X_111,inverse(X_4))) ),[0],$fot(multiply(inverse(X_111),X_4))]]) ).
cnf(refute_0_237,plain,
( inverse(double_divide(X_4,inverse(X_111))) != double_divide(X_111,inverse(X_4))
| multiply(inverse(X_111),X_4) = double_divide(X_111,inverse(X_4)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,inverse(X_111))),multiply(inverse(X_111),X_4)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(inverse(X_111),X_4) = double_divide(X_111,inverse(X_4)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,inverse(X_111))),double_divide(X_111,inverse(X_4))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(inverse(X_115),inverse(X_54)) = double_divide(X_115,inverse(inverse(X_54))),
inference(subst,[],[refute_0_238:[bind(X_111,$fot(X_115)),bind(X_4,$fot(inverse(X_54)))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(X_115),inverse(X_54)) != double_divide(X_115,inverse(inverse(X_54)))
| inverse(inverse(X_54)) != X_54
| multiply(inverse(X_115),inverse(X_54)) = double_divide(X_115,X_54) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_115),inverse(X_54)),double_divide(X_115,inverse(inverse(X_54)))) ),[1,1],$fot(X_54)]]) ).
cnf(refute_0_241,plain,
( multiply(inverse(X_115),inverse(X_54)) != double_divide(X_115,inverse(inverse(X_54)))
| multiply(inverse(X_115),inverse(X_54)) = double_divide(X_115,X_54) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(X_115),inverse(X_54)) = double_divide(X_115,X_54),
inference(resolve,[$cnf( $equal(multiply(inverse(X_115),inverse(X_54)),double_divide(X_115,inverse(inverse(X_54)))) )],[refute_0_239,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(X_128),inverse(X_92)) = double_divide(X_128,X_92),
inference(subst,[],[refute_0_242:[bind(X_115,$fot(X_128)),bind(X_54,$fot(X_92))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(X_111),X_4) != double_divide(X_111,inverse(X_4))
| double_divide(X_111,inverse(X_4)) = multiply(inverse(X_111),X_4) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_111),X_4))),bind(Y,$fot(double_divide(X_111,inverse(X_4))))]]) ).
cnf(refute_0_245,plain,
double_divide(X_111,inverse(X_4)) = multiply(inverse(X_111),X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),X_4),double_divide(X_111,inverse(X_4))) )],[refute_0_238,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(X_128,inverse(inverse(X_92))) = multiply(inverse(X_128),inverse(X_92)),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(X_128)),bind(X_4,$fot(inverse(X_92)))]]) ).
cnf(refute_0_247,plain,
( multiply(inverse(X_128),inverse(X_92)) != double_divide(X_128,X_92)
| double_divide(X_128,inverse(inverse(X_92))) != multiply(inverse(X_128),inverse(X_92))
| double_divide(X_128,inverse(inverse(X_92))) = double_divide(X_128,X_92) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_128,inverse(inverse(X_92))))),bind(Y,$fot(multiply(inverse(X_128),inverse(X_92)))),bind(Z,$fot(double_divide(X_128,X_92)))]]) ).
cnf(refute_0_248,plain,
( multiply(inverse(X_128),inverse(X_92)) != double_divide(X_128,X_92)
| double_divide(X_128,inverse(inverse(X_92))) = double_divide(X_128,X_92) ),
inference(resolve,[$cnf( $equal(double_divide(X_128,inverse(inverse(X_92))),multiply(inverse(X_128),inverse(X_92))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
double_divide(X_128,inverse(inverse(X_92))) = double_divide(X_128,X_92),
inference(resolve,[$cnf( $equal(multiply(inverse(X_128),inverse(X_92)),double_divide(X_128,X_92)) )],[refute_0_243,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(double_divide(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_102:[bind(X_3,$fot(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))))]]) ).
cnf(refute_0_251,plain,
double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))) = X_85,
inference(subst,[],[refute_0_162:[bind(X_81,$fot(X_85)),bind(X_82,$fot(X_86)),bind(X_83,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_252,plain,
( double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))) != X_85
| double_divide(double_divide(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) ),[0,0,0],$fot(X_85)]]) ).
cnf(refute_0_253,plain,
( double_divide(double_divide(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),X_85) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(multiply(X_8,X_9),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))) = inverse(multiply(X_8,X_9)),
inference(subst,[],[refute_0_178:[bind(X_85,$fot(inverse(multiply(X_8,X_9)))),bind(X_87,$fot(X_86))]]) ).
cnf(refute_0_256,plain,
multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) = multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) != multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))
| double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))) != inverse(multiply(X_8,X_9))
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) = multiply(inverse(X_85),inverse(multiply(X_8,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))) ),[1,1],$fot(inverse(multiply(X_8,X_9)))]]) ).
cnf(refute_0_258,plain,
( double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))) != inverse(multiply(X_8,X_9))
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) = multiply(inverse(X_85),inverse(multiply(X_8,X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) = multiply(inverse(X_85),inverse(multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86))),inverse(multiply(X_8,X_9))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) = multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)))]]) ).
cnf(refute_0_261,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) != multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) != multiply(inverse(X_85),inverse(multiply(X_8,X_9)))
| multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) = multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) ),[1,0],$fot(multiply(inverse(X_85),inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_262,plain,
( multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))) != multiply(inverse(X_85),inverse(multiply(X_8,X_9)))
| multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) = multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) = multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),multiply(inverse(X_85),inverse(multiply(X_8,X_9)))) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) = double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),
introduced(tautology,[refl,[$fot(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))))]]) ).
cnf(refute_0_265,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) != multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) != double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) = double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)))) ),[1,1],$fot(multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)))]]) ).
cnf(refute_0_266,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)) != multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) = double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))) ),
inference(resolve,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) = double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4)),multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)))]]) ).
cnf(refute_0_269,plain,
( double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) != double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4))) ),[1,0],$fot(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))))]]) ).
cnf(refute_0_270,plain,
( double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))) != double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)),
inference(resolve,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4)))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) ),[0],$fot(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)))]]) ).
cnf(refute_0_273,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(multiply(X_8,X_9))),inverse(X_86)))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) )],[refute_0_254,refute_0_273]) ).
cnf(refute_0_275,plain,
double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = C,
inference(subst,[],[refute_0_112:[bind(X_6,$fot(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))))]]) ).
cnf(refute_0_276,plain,
double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))) = X_85,
inference(subst,[],[refute_0_162:[bind(X_81,$fot(X_85)),bind(X_82,$fot(X_86)),bind(X_83,$fot(inverse(C)))]]) ).
cnf(refute_0_277,plain,
( double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != C
| double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))) != X_85
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),C) ),[0,0,0],$fot(X_85)]]) ).
cnf(refute_0_278,plain,
( double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),X_85) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(C),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),C) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
inverse(inverse(C)) = C,
inference(subst,[],[refute_0_192:[bind(X_54,$fot(C))]]) ).
cnf(refute_0_281,plain,
double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) = inverse(inverse(C)),
inference(subst,[],[refute_0_178:[bind(X_85,$fot(inverse(inverse(C)))),bind(X_87,$fot(X_86))]]) ).
cnf(refute_0_282,plain,
( double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) != inverse(inverse(C))
| inverse(inverse(C)) != C
| double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) = C ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))),bind(Y,$fot(inverse(inverse(C)))),bind(Z,$fot(C))]]) ).
cnf(refute_0_283,plain,
( inverse(inverse(C)) != C
| double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) = C ),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))),inverse(inverse(C))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) = C,
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) = multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))))]]) ).
cnf(refute_0_286,plain,
( multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) != multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))
| double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) != C
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) = multiply(inverse(X_85),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_287,plain,
( double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))) != C
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) = multiply(inverse(X_85),C) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) = multiply(inverse(X_85),C),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86))),C) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) = multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)))]]) ).
cnf(refute_0_290,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) != multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))
| multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) != multiply(inverse(X_85),C)
| multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) = multiply(multiply(inverse(X_85),C),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) ),[1,0],$fot(multiply(inverse(X_85),C))]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))) != multiply(inverse(X_85),C)
| multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) = multiply(multiply(inverse(X_85),C),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)),multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) = multiply(multiply(inverse(X_85),C),inverse(X_7)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),multiply(inverse(X_85),C)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) = double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),
introduced(tautology,[refl,[$fot(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))))]]) ).
cnf(refute_0_294,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) != multiply(multiply(inverse(X_85),C),inverse(X_7))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) != double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) = double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)))) ),[1,1],$fot(multiply(multiply(inverse(X_85),C),inverse(X_7)))]]) ).
cnf(refute_0_295,plain,
( multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)) != multiply(multiply(inverse(X_85),C),inverse(X_7))
| double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) = double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))) ),
inference(resolve,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) = double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7)),multiply(multiply(inverse(X_85),C),inverse(X_7))) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)))]]) ).
cnf(refute_0_298,plain,
( double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) != double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7)))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7))) ),[1,0],$fot(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))))]]) ).
cnf(refute_0_299,plain,
( double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))) != double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7)))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) = double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)),
inference(resolve,[$cnf( $equal(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7)))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7))
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),C) ),[0],$fot(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)))]]) ).
cnf(refute_0_302,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)) != C
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),C),inverse(X_7))),inverse(X_7)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(inverse(C))),inverse(X_86)))),inverse(X_7))),inverse(X_7)),C) )],[refute_0_279,refute_0_302]) ).
cnf(refute_0_304,plain,
double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) = inverse(multiply(X_8,X_9)),
inference(subst,[],[refute_0_303:[bind(C,$fot(inverse(multiply(X_8,X_9)))),bind(X_7,$fot(X_4))]]) ).
cnf(refute_0_305,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) != inverse(multiply(X_8,X_9))
| inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) ),[0],$fot(inverse(multiply(X_8,X_9)))]]) ).
cnf(refute_0_306,plain,
( double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)) != double_divide(X_9,X_8)
| inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)),inverse(multiply(X_8,X_9))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
inverse(multiply(X_8,X_9)) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_85,multiply(multiply(inverse(X_85),inverse(multiply(X_8,X_9))),inverse(X_4))),inverse(X_4)),double_divide(X_9,X_8)) )],[refute_0_274,refute_0_306]) ).
cnf(refute_0_308,plain,
inverse(multiply(inverse(inverse(X_92)),X_128)) = double_divide(X_128,inverse(inverse(X_92))),
inference(subst,[],[refute_0_307:[bind(X_8,$fot(inverse(inverse(X_92)))),bind(X_9,$fot(X_128))]]) ).
cnf(refute_0_309,plain,
( double_divide(X_128,inverse(inverse(X_92))) != double_divide(X_128,X_92)
| inverse(multiply(inverse(inverse(X_92)),X_128)) != double_divide(X_128,inverse(inverse(X_92)))
| inverse(multiply(inverse(inverse(X_92)),X_128)) = double_divide(X_128,X_92) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(multiply(inverse(inverse(X_92)),X_128)))),bind(Y,$fot(double_divide(X_128,inverse(inverse(X_92))))),bind(Z,$fot(double_divide(X_128,X_92)))]]) ).
cnf(refute_0_310,plain,
( double_divide(X_128,inverse(inverse(X_92))) != double_divide(X_128,X_92)
| inverse(multiply(inverse(inverse(X_92)),X_128)) = double_divide(X_128,X_92) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_92)),X_128)),double_divide(X_128,inverse(inverse(X_92)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
inverse(multiply(inverse(inverse(X_92)),X_128)) = double_divide(X_128,X_92),
inference(resolve,[$cnf( $equal(double_divide(X_128,inverse(inverse(X_92))),double_divide(X_128,X_92)) )],[refute_0_249,refute_0_310]) ).
cnf(refute_0_312,plain,
( double_divide(X_92,X_128) != inverse(multiply(inverse(inverse(X_92)),X_128))
| inverse(multiply(inverse(inverse(X_92)),X_128)) != double_divide(X_128,X_92)
| double_divide(X_92,X_128) = double_divide(X_128,X_92) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_92,X_128),double_divide(X_128,X_92)) ),[0],$fot(inverse(multiply(inverse(inverse(X_92)),X_128)))]]) ).
cnf(refute_0_313,plain,
( double_divide(X_92,X_128) != inverse(multiply(inverse(inverse(X_92)),X_128))
| double_divide(X_92,X_128) = double_divide(X_128,X_92) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_92)),X_128)),double_divide(X_128,X_92)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
double_divide(X_92,X_128) = double_divide(X_128,X_92),
inference(resolve,[$cnf( $equal(double_divide(X_92,X_128),inverse(multiply(inverse(inverse(X_92)),X_128))) )],[refute_0_210,refute_0_313]) ).
cnf(refute_0_315,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_314:[bind(X_128,$fot(A)),bind(X_92,$fot(B))]]) ).
cnf(refute_0_316,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_317,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_317]) ).
cnf(refute_0_319,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_320,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_321,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_324,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_324:[bind(A,$fot(c3)),bind(B,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_326,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_327,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_327,prove_these_axioms_3]) ).
cnf(refute_0_329,plain,
double_divide(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = C,
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(X_10,X_11))),bind(B,$fot(multiply(multiply(X_11,multiply(X_8,X_9)),X_10)))]]) ).
cnf(refute_0_330,plain,
double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(X_10)),bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_331,plain,
( double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)) != double_divide(X_9,X_8)
| double_divide(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != C
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),C) ),[0,0],$fot(double_divide(X_9,X_8))]]) ).
cnf(refute_0_332,plain,
( double_divide(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != C
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),double_divide(X_9,X_8)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,X_11),multiply(multiply(X_11,multiply(X_8,X_9)),X_10)),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),C) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)) = multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C))),
inference(subst,[],[refute_0_324:[bind(A,$fot(double_divide(X_10,X_11))),bind(B,$fot(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C))))]]) ).
cnf(refute_0_335,plain,
double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))))]]) ).
cnf(refute_0_336,plain,
( multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)) != multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)))
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)))) ),[1,1],$fot(multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C))))]]) ).
cnf(refute_0_337,plain,
( multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)) != multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) = double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11)),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != C
| double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C))))
| double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),C) ),[0],$fot(double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))))]]) ).
cnf(refute_0_340,plain,
( double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))) != C
| double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C))))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
double_divide(double_divide(X_9,X_8),multiply(double_divide(X_10,X_11),multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_9,X_8),multiply(multiply(multiply(multiply(X_11,multiply(X_8,X_9)),X_10),inverse(C)),double_divide(X_10,X_11))),C) )],[refute_0_333,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))))) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149),
inference(subst,[],[refute_0_341:[bind(C,$fot(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))),bind(X_10,$fot(X_149)),bind(X_11,$fot(X_150)),bind(X_8,$fot(X_151)),bind(X_9,$fot(X_152))]]) ).
cnf(refute_0_343,plain,
multiply(X_88,double_divide(multiply(inverse(X_104),X_104),X_88)) = inverse(multiply(inverse(X_104),X_104)),
inference(subst,[],[refute_0_230:[bind(X_4,$fot(multiply(inverse(X_104),X_104)))]]) ).
cnf(refute_0_344,plain,
double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))) = X_85,
inference(subst,[],[refute_0_162:[bind(X_81,$fot(X_85)),bind(X_82,$fot(X_86)),bind(X_83,$fot(double_divide(X_24,inverse(X_24))))]]) ).
cnf(refute_0_345,plain,
double_divide(double_divide(X_24,inverse(X_24)),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_136:[bind(A,$fot(X_24)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_346,plain,
( double_divide(double_divide(X_24,inverse(X_24)),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_24,inverse(X_24)),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_24,inverse(X_24)),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_347,plain,
( double_divide(double_divide(X_24,inverse(X_24)),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(double_divide(X_24,inverse(X_24)),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_346]) ).
cnf(refute_0_348,plain,
double_divide(double_divide(X_24,inverse(X_24)),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_24,inverse(X_24)),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_345,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))) = double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),
inference(subst,[],[refute_0_348:[bind(A,$fot(inverse(X_85))),bind(B,$fot(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86)))))]]) ).
cnf(refute_0_350,plain,
( double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))) != X_85
| double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))) != double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85))
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))),X_85) ),[0],$fot(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)))]]) ).
cnf(refute_0_351,plain,
( double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))) != X_85
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = X_85 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))),double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = X_85,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_24,inverse(X_24)),multiply(inverse(X_85),double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))),X_85) )],[refute_0_344,refute_0_351]) ).
cnf(refute_0_353,plain,
inverse(double_divide(X_24,inverse(X_24))) = multiply(inverse(X_24),X_24),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_24))),bind(B,$fot(X_24))]]) ).
cnf(refute_0_354,plain,
double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) = inverse(double_divide(X_24,inverse(X_24))),
inference(subst,[],[refute_0_178:[bind(X_85,$fot(inverse(double_divide(X_24,inverse(X_24))))),bind(X_87,$fot(X_86))]]) ).
cnf(refute_0_355,plain,
( double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) != inverse(double_divide(X_24,inverse(X_24)))
| inverse(double_divide(X_24,inverse(X_24))) != multiply(inverse(X_24),X_24)
| double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) = multiply(inverse(X_24),X_24) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))))),bind(Y,$fot(inverse(double_divide(X_24,inverse(X_24))))),bind(Z,$fot(multiply(inverse(X_24),X_24)))]]) ).
cnf(refute_0_356,plain,
( inverse(double_divide(X_24,inverse(X_24))) != multiply(inverse(X_24),X_24)
| double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) = multiply(inverse(X_24),X_24) ),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(double_divide(X_24,inverse(X_24)))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) = multiply(inverse(X_24),X_24),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_24,inverse(X_24))),multiply(inverse(X_24),X_24)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)))]]) ).
cnf(refute_0_359,plain,
( double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) != multiply(inverse(X_24),X_24)
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) != double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85))
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = double_divide(multiply(inverse(X_24),X_24),inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85))) ),[1,0],$fot(multiply(inverse(X_24),X_24))]]) ).
cnf(refute_0_360,plain,
( double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))) != multiply(inverse(X_24),X_24)
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = double_divide(multiply(inverse(X_24),X_24),inverse(X_85)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) = double_divide(multiply(inverse(X_24),X_24),inverse(X_85)),
inference(resolve,[$cnf( $equal(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),multiply(inverse(X_24),X_24)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) != X_85
| double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) != double_divide(multiply(inverse(X_24),X_24),inverse(X_85))
| double_divide(multiply(inverse(X_24),X_24),inverse(X_85)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),X_85) ),[0],$fot(double_divide(multiply(inverse(X_24),X_24),inverse(X_85)))]]) ).
cnf(refute_0_363,plain,
( double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)) != X_85
| double_divide(multiply(inverse(X_24),X_24),inverse(X_85)) = X_85 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),double_divide(multiply(inverse(X_24),X_24),inverse(X_85))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
double_divide(multiply(inverse(X_24),X_24),inverse(X_85)) = X_85,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_86,multiply(inverse(inverse(double_divide(X_24,inverse(X_24)))),inverse(X_86))),inverse(X_85)),X_85) )],[refute_0_352,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(multiply(inverse(X_95),X_95),inverse(inverse(X_54))) = inverse(X_54),
inference(subst,[],[refute_0_364:[bind(X_24,$fot(X_95)),bind(X_85,$fot(inverse(X_54)))]]) ).
cnf(refute_0_366,plain,
( double_divide(multiply(inverse(X_95),X_95),inverse(inverse(X_54))) != inverse(X_54)
| inverse(inverse(X_54)) != X_54
| double_divide(multiply(inverse(X_95),X_95),X_54) = inverse(X_54) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_95),X_95),inverse(inverse(X_54))),inverse(X_54)) ),[0,1],$fot(X_54)]]) ).
cnf(refute_0_367,plain,
( double_divide(multiply(inverse(X_95),X_95),inverse(inverse(X_54))) != inverse(X_54)
| double_divide(multiply(inverse(X_95),X_95),X_54) = inverse(X_54) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(multiply(inverse(X_95),X_95),X_54) = inverse(X_54),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_95),X_95),inverse(inverse(X_54))),inverse(X_54)) )],[refute_0_365,refute_0_367]) ).
cnf(refute_0_369,plain,
double_divide(multiply(inverse(X_104),X_104),X_88) = inverse(X_88),
inference(subst,[],[refute_0_368:[bind(X_54,$fot(X_88)),bind(X_95,$fot(X_104))]]) ).
cnf(refute_0_370,plain,
( multiply(X_88,double_divide(multiply(inverse(X_104),X_104),X_88)) != inverse(multiply(inverse(X_104),X_104))
| double_divide(multiply(inverse(X_104),X_104),X_88) != inverse(X_88)
| multiply(X_88,inverse(X_88)) = inverse(multiply(inverse(X_104),X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,double_divide(multiply(inverse(X_104),X_104),X_88)),inverse(multiply(inverse(X_104),X_104))) ),[0,1],$fot(inverse(X_88))]]) ).
cnf(refute_0_371,plain,
( multiply(X_88,double_divide(multiply(inverse(X_104),X_104),X_88)) != inverse(multiply(inverse(X_104),X_104))
| multiply(X_88,inverse(X_88)) = inverse(multiply(inverse(X_104),X_104)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_104),X_104),X_88),inverse(X_88)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(X_88,inverse(X_88)) = inverse(multiply(inverse(X_104),X_104)),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(multiply(inverse(X_104),X_104),X_88)),inverse(multiply(inverse(X_104),X_104))) )],[refute_0_343,refute_0_371]) ).
cnf(refute_0_373,plain,
inverse(multiply(inverse(X_104),X_104)) = double_divide(X_104,inverse(X_104)),
inference(subst,[],[refute_0_307:[bind(X_8,$fot(inverse(X_104))),bind(X_9,$fot(X_104))]]) ).
cnf(refute_0_374,plain,
( multiply(X_88,inverse(X_88)) != inverse(multiply(inverse(X_104),X_104))
| inverse(multiply(inverse(X_104),X_104)) != double_divide(X_104,inverse(X_104))
| multiply(X_88,inverse(X_88)) = double_divide(X_104,inverse(X_104)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,inverse(X_88)),double_divide(X_104,inverse(X_104))) ),[0],$fot(inverse(multiply(inverse(X_104),X_104)))]]) ).
cnf(refute_0_375,plain,
( multiply(X_88,inverse(X_88)) != inverse(multiply(inverse(X_104),X_104))
| multiply(X_88,inverse(X_88)) = double_divide(X_104,inverse(X_104)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_104),X_104)),double_divide(X_104,inverse(X_104))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(X_88,inverse(X_88)) = double_divide(X_104,inverse(X_104)),
inference(resolve,[$cnf( $equal(multiply(X_88,inverse(X_88)),inverse(multiply(inverse(X_104),X_104))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(X_88,inverse(X_88)) = double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108)))),
inference(subst,[],[refute_0_376:[bind(X_104,$fot(multiply(X_108,inverse(X_108))))]]) ).
cnf(refute_0_378,plain,
double_divide(multiply(inverse(inverse(X_54)),inverse(X_54)),X_103) = inverse(X_103),
inference(subst,[],[refute_0_368:[bind(X_54,$fot(X_103)),bind(X_95,$fot(inverse(X_54)))]]) ).
cnf(refute_0_379,plain,
( double_divide(multiply(inverse(inverse(X_54)),inverse(X_54)),X_103) != inverse(X_103)
| inverse(inverse(X_54)) != X_54
| double_divide(multiply(X_54,inverse(X_54)),X_103) = inverse(X_103) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),inverse(X_54)),X_103),inverse(X_103)) ),[0,0,0],$fot(X_54)]]) ).
cnf(refute_0_380,plain,
( double_divide(multiply(inverse(inverse(X_54)),inverse(X_54)),X_103) != inverse(X_103)
| double_divide(multiply(X_54,inverse(X_54)),X_103) = inverse(X_103) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_379]) ).
cnf(refute_0_381,plain,
double_divide(multiply(X_54,inverse(X_54)),X_103) = inverse(X_103),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),inverse(X_54)),X_103),inverse(X_103)) )],[refute_0_378,refute_0_380]) ).
cnf(refute_0_382,plain,
double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108)))) = inverse(inverse(multiply(X_108,inverse(X_108)))),
inference(subst,[],[refute_0_381:[bind(X_103,$fot(inverse(multiply(X_108,inverse(X_108))))),bind(X_54,$fot(X_108))]]) ).
cnf(refute_0_383,plain,
( multiply(X_88,inverse(X_88)) != double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108))))
| double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108)))) != inverse(inverse(multiply(X_108,inverse(X_108))))
| multiply(X_88,inverse(X_88)) = inverse(inverse(multiply(X_108,inverse(X_108)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,inverse(X_88)),inverse(inverse(multiply(X_108,inverse(X_108))))) ),[0],$fot(double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108)))))]]) ).
cnf(refute_0_384,plain,
( multiply(X_88,inverse(X_88)) != double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108))))
| multiply(X_88,inverse(X_88)) = inverse(inverse(multiply(X_108,inverse(X_108)))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108)))),inverse(inverse(multiply(X_108,inverse(X_108))))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
multiply(X_88,inverse(X_88)) = inverse(inverse(multiply(X_108,inverse(X_108)))),
inference(resolve,[$cnf( $equal(multiply(X_88,inverse(X_88)),double_divide(multiply(X_108,inverse(X_108)),inverse(multiply(X_108,inverse(X_108))))) )],[refute_0_377,refute_0_384]) ).
cnf(refute_0_386,plain,
inverse(inverse(multiply(X_108,inverse(X_108)))) = multiply(X_108,inverse(X_108)),
inference(subst,[],[refute_0_192:[bind(X_54,$fot(multiply(X_108,inverse(X_108))))]]) ).
cnf(refute_0_387,plain,
( multiply(X_88,inverse(X_88)) != inverse(inverse(multiply(X_108,inverse(X_108))))
| inverse(inverse(multiply(X_108,inverse(X_108)))) != multiply(X_108,inverse(X_108))
| multiply(X_88,inverse(X_88)) = multiply(X_108,inverse(X_108)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,inverse(X_88)),multiply(X_108,inverse(X_108))) ),[0],$fot(inverse(inverse(multiply(X_108,inverse(X_108)))))]]) ).
cnf(refute_0_388,plain,
( multiply(X_88,inverse(X_88)) != inverse(inverse(multiply(X_108,inverse(X_108))))
| multiply(X_88,inverse(X_88)) = multiply(X_108,inverse(X_108)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_108,inverse(X_108)))),multiply(X_108,inverse(X_108))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(X_88,inverse(X_88)) = multiply(X_108,inverse(X_108)),
inference(resolve,[$cnf( $equal(multiply(X_88,inverse(X_88)),inverse(inverse(multiply(X_108,inverse(X_108))))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(X_88,inverse(X_88)) = multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))),
inference(subst,[],[refute_0_389:[bind(X_108,$fot(multiply(multiply(X_150,multiply(X_151,X_152)),X_149)))]]) ).
cnf(refute_0_391,plain,
( multiply(X_88,inverse(X_88)) != multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149)))
| multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))) = multiply(X_88,inverse(X_88)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_88,inverse(X_88)))),bind(Y,$fot(multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149)))))]]) ).
cnf(refute_0_392,plain,
multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))) = multiply(X_88,inverse(X_88)),
inference(resolve,[$cnf( $equal(multiply(X_88,inverse(X_88)),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))) != multiply(X_88,inverse(X_88))
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))))) != multiply(multiply(X_150,multiply(X_151,X_152)),X_149)
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))))),multiply(multiply(X_150,multiply(X_151,X_152)),X_149)) ),[0,1,1],$fot(multiply(X_88,inverse(X_88)))]]) ).
cnf(refute_0_394,plain,
( double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))))) != multiply(multiply(X_150,multiply(X_151,X_152)),X_149)
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))),multiply(X_88,inverse(X_88))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(multiply(multiply(X_150,multiply(X_151,X_152)),X_149),inverse(multiply(multiply(X_150,multiply(X_151,X_152)),X_149))))),multiply(multiply(X_150,multiply(X_151,X_152)),X_149)) )],[refute_0_342,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(inverse(inverse(X_88)),double_divide(X_2,inverse(X_2))) = inverse(inverse(X_88)),
inference(subst,[],[refute_0_70:[bind(X_4,$fot(inverse(X_88)))]]) ).
cnf(refute_0_397,plain,
( multiply(inverse(inverse(X_88)),double_divide(X_2,inverse(X_2))) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(X_88,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_88)),double_divide(X_2,inverse(X_2))),inverse(inverse(X_88))) ),[0,0],$fot(X_88)]]) ).
cnf(refute_0_398,plain,
( multiply(inverse(inverse(X_88)),double_divide(X_2,inverse(X_2))) != inverse(inverse(X_88))
| multiply(X_88,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_88)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(X_88,double_divide(X_2,inverse(X_2))) = inverse(inverse(X_88)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_88)),double_divide(X_2,inverse(X_2))),inverse(inverse(X_88))) )],[refute_0_396,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiply(X_88,double_divide(X_2,inverse(X_2))) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(X_88,double_divide(X_2,inverse(X_2))) = X_88 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,double_divide(X_2,inverse(X_2))),X_88) ),[0],$fot(inverse(inverse(X_88)))]]) ).
cnf(refute_0_401,plain,
( multiply(X_88,double_divide(X_2,inverse(X_2))) != inverse(inverse(X_88))
| multiply(X_88,double_divide(X_2,inverse(X_2))) = X_88 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(X_88,double_divide(X_2,inverse(X_2))) = X_88,
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_2,inverse(X_2))),inverse(inverse(X_88))) )],[refute_0_399,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(X_106,inverse(X_106)) = double_divide(X_2,inverse(X_2)),
inference(subst,[],[refute_0_376:[bind(X_104,$fot(X_2)),bind(X_88,$fot(X_106))]]) ).
cnf(refute_0_404,plain,
( multiply(X_106,inverse(X_106)) != double_divide(X_2,inverse(X_2))
| double_divide(X_2,inverse(X_2)) = multiply(X_106,inverse(X_106)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_106,inverse(X_106)))),bind(Y,$fot(double_divide(X_2,inverse(X_2))))]]) ).
cnf(refute_0_405,plain,
double_divide(X_2,inverse(X_2)) = multiply(X_106,inverse(X_106)),
inference(resolve,[$cnf( $equal(multiply(X_106,inverse(X_106)),double_divide(X_2,inverse(X_2))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( multiply(X_88,double_divide(X_2,inverse(X_2))) != X_88
| double_divide(X_2,inverse(X_2)) != multiply(X_106,inverse(X_106))
| multiply(X_88,multiply(X_106,inverse(X_106))) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,double_divide(X_2,inverse(X_2))),X_88) ),[0,1],$fot(multiply(X_106,inverse(X_106)))]]) ).
cnf(refute_0_407,plain,
( multiply(X_88,double_divide(X_2,inverse(X_2))) != X_88
| multiply(X_88,multiply(X_106,inverse(X_106))) = X_88 ),
inference(resolve,[$cnf( $equal(double_divide(X_2,inverse(X_2)),multiply(X_106,inverse(X_106))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(X_88,multiply(X_106,inverse(X_106))) = X_88,
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_2,inverse(X_2))),X_88) )],[refute_0_402,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))) = double_divide(X_149,X_150),
inference(subst,[],[refute_0_408:[bind(X_106,$fot(X_88)),bind(X_88,$fot(double_divide(X_149,X_150)))]]) ).
cnf(refute_0_410,plain,
double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))))]]) ).
cnf(refute_0_411,plain,
( multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))) != double_divide(X_149,X_150)
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) != double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))))
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))))) ),[1,1],$fot(double_divide(X_149,X_150))]]) ).
cnf(refute_0_412,plain,
( multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))) != double_divide(X_149,X_150)
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) = double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88))),double_divide(X_149,X_150)) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
( double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) != multiply(multiply(X_150,multiply(X_151,X_152)),X_149)
| double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) != double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150))
| double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),multiply(multiply(X_150,multiply(X_151,X_152)),X_149)) ),[0],$fot(double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)))]]) ).
cnf(refute_0_415,plain,
( double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))) != multiply(multiply(X_150,multiply(X_151,X_152)),X_149)
| double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
double_divide(double_divide(X_152,X_151),double_divide(X_149,X_150)) = multiply(multiply(X_150,multiply(X_151,X_152)),X_149),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_152,X_151),multiply(double_divide(X_149,X_150),multiply(X_88,inverse(X_88)))),multiply(multiply(X_150,multiply(X_151,X_152)),X_149)) )],[refute_0_395,refute_0_415]) ).
cnf(refute_0_417,plain,
double_divide(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),double_divide(X_153,X_154)) = multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),
inference(subst,[],[refute_0_416:[bind(X_149,$fot(X_153)),bind(X_150,$fot(X_154)),bind(X_151,$fot(double_divide(multiply(X_137,X_138),X_136))),bind(X_152,$fot(multiply(X_138,X_136)))]]) ).
cnf(refute_0_418,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),A)) = C,
inference(subst,[],[refute_0_22:[bind(B,$fot(multiply(inverse(inverse(C)),inverse(X_23))))]]) ).
cnf(refute_0_419,plain,
multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)) = inverse(X_23),
inference(subst,[],[refute_0_53:[bind(C,$fot(inverse(C))),bind(X_7,$fot(X_23))]]) ).
cnf(refute_0_420,plain,
( multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)) != inverse(X_23)
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),A)),C) ),[0,1,0],$fot(inverse(X_23))]]) ).
cnf(refute_0_421,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),inverse(X_23)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(multiply(multiply(inverse(inverse(C)),inverse(X_23)),inverse(C)),A)),C) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(inverse(inverse(C)),inverse(X_23)) = multiply(inverse(inverse(C)),inverse(X_23)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(C)),inverse(X_23)))]]) ).
cnf(refute_0_424,plain,
( multiply(inverse(inverse(C)),inverse(X_23)) != multiply(inverse(inverse(C)),inverse(X_23))
| inverse(inverse(C)) != C
| multiply(inverse(inverse(C)),inverse(X_23)) = multiply(C,inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_23)),multiply(inverse(inverse(C)),inverse(X_23))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_425,plain,
( inverse(inverse(C)) != C
| multiply(inverse(inverse(C)),inverse(X_23)) = multiply(C,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_23)),multiply(inverse(inverse(C)),inverse(X_23))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(inverse(inverse(C)),inverse(X_23)) = multiply(C,inverse(X_23)),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_280,refute_0_425]) ).
cnf(refute_0_427,plain,
double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) = double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),
introduced(tautology,[refl,[$fot(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))]]) ).
cnf(refute_0_428,plain,
( multiply(inverse(inverse(C)),inverse(X_23)) != multiply(C,inverse(X_23))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) != double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) = double_divide(A,multiply(C,inverse(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) ),[1,1],$fot(multiply(C,inverse(X_23)))]]) ).
cnf(refute_0_429,plain,
( multiply(inverse(inverse(C)),inverse(X_23)) != multiply(C,inverse(X_23))
| double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) = double_divide(A,multiply(C,inverse(X_23))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) = double_divide(A,multiply(C,inverse(X_23))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),inverse(X_23)),multiply(C,inverse(X_23))) )],[refute_0_426,refute_0_429]) ).
cnf(refute_0_431,plain,
double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))))]]) ).
cnf(refute_0_432,plain,
( double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) != double_divide(A,multiply(C,inverse(X_23)))
| double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) != double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))
| double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))),double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))) ),[1,1],$fot(double_divide(A,multiply(C,inverse(X_23))))]]) ).
cnf(refute_0_433,plain,
( double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))) != double_divide(A,multiply(C,inverse(X_23)))
| double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))),double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),double_divide(A,multiply(C,inverse(X_23)))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(X_87,multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))))))) = double_divide(multiply(A,B),inverse(inverse(X_87))),
inference(subst,[],[refute_0_162:[bind(X_81,$fot(double_divide(multiply(A,B),inverse(inverse(X_87))))),bind(X_82,$fot(double_divide(multiply(A,B),inverse(inverse(X_87))))),bind(X_83,$fot(X_87))]]) ).
cnf(refute_0_436,plain,
multiply(inverse(X_17),double_divide(double_divide(inverse(double_divide(B,A)),X_16),multiply(X_16,inverse(X_17)))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_63:[bind(X_4,$fot(double_divide(B,A))),bind(X_6,$fot(X_16)),bind(X_7,$fot(X_17))]]) ).
cnf(refute_0_437,plain,
( multiply(inverse(X_17),double_divide(double_divide(inverse(double_divide(B,A)),X_16),multiply(X_16,inverse(X_17)))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_17),double_divide(double_divide(inverse(double_divide(B,A)),X_16),multiply(X_16,inverse(X_17)))),inverse(double_divide(B,A))) ),[0,1,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_438,plain,
( multiply(inverse(X_17),double_divide(double_divide(inverse(double_divide(B,A)),X_16),multiply(X_16,inverse(X_17)))) != inverse(double_divide(B,A))
| multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),double_divide(double_divide(inverse(double_divide(B,A)),X_16),multiply(X_16,inverse(X_17)))),inverse(double_divide(B,A))) )],[refute_0_436,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_441,plain,
( multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) != inverse(double_divide(B,A))
| multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),double_divide(double_divide(multiply(A,B),X_16),multiply(X_16,inverse(X_17)))),inverse(double_divide(B,A))) )],[refute_0_439,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87))))))) = multiply(A,B),
inference(subst,[],[refute_0_442:[bind(X_16,$fot(inverse(inverse(X_87)))),bind(X_17,$fot(double_divide(multiply(A,B),inverse(inverse(X_87)))))]]) ).
cnf(refute_0_444,plain,
( multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87))))))) != multiply(A,B)
| double_divide(X_87,multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))))))) != double_divide(multiply(A,B),inverse(inverse(X_87)))
| double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),inverse(inverse(X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_87,multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))))))),double_divide(multiply(A,B),inverse(inverse(X_87)))) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_445,plain,
( double_divide(X_87,multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))))))) != double_divide(multiply(A,B),inverse(inverse(X_87)))
| double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),inverse(inverse(X_87))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87))))))),multiply(A,B)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),inverse(inverse(X_87))),
inference(resolve,[$cnf( $equal(double_divide(X_87,multiply(inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))),double_divide(double_divide(multiply(A,B),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(multiply(A,B),inverse(inverse(X_87)))))))),double_divide(multiply(A,B),inverse(inverse(X_87)))) )],[refute_0_435,refute_0_445]) ).
cnf(refute_0_447,plain,
inverse(inverse(X_87)) = X_87,
inference(subst,[],[refute_0_192:[bind(X_54,$fot(X_87))]]) ).
cnf(refute_0_448,plain,
double_divide(multiply(A,B),inverse(inverse(X_87))) = double_divide(multiply(A,B),inverse(inverse(X_87))),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(inverse(X_87))))]]) ).
cnf(refute_0_449,plain,
( double_divide(multiply(A,B),inverse(inverse(X_87))) != double_divide(multiply(A,B),inverse(inverse(X_87)))
| inverse(inverse(X_87)) != X_87
| double_divide(multiply(A,B),inverse(inverse(X_87))) = double_divide(multiply(A,B),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_87))),double_divide(multiply(A,B),inverse(inverse(X_87)))) ),[1,1],$fot(X_87)]]) ).
cnf(refute_0_450,plain,
( inverse(inverse(X_87)) != X_87
| double_divide(multiply(A,B),inverse(inverse(X_87))) = double_divide(multiply(A,B),X_87) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_87))),double_divide(multiply(A,B),inverse(inverse(X_87)))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
double_divide(multiply(A,B),inverse(inverse(X_87))) = double_divide(multiply(A,B),X_87),
inference(resolve,[$cnf( $equal(inverse(inverse(X_87)),X_87) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
( double_divide(X_87,multiply(A,B)) != double_divide(multiply(A,B),inverse(inverse(X_87)))
| double_divide(multiply(A,B),inverse(inverse(X_87))) != double_divide(multiply(A,B),X_87)
| double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),X_87) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_87,multiply(A,B)),double_divide(multiply(A,B),X_87)) ),[0],$fot(double_divide(multiply(A,B),inverse(inverse(X_87))))]]) ).
cnf(refute_0_453,plain,
( double_divide(X_87,multiply(A,B)) != double_divide(multiply(A,B),inverse(inverse(X_87)))
| double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),X_87) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_87))),double_divide(multiply(A,B),X_87)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
double_divide(X_87,multiply(A,B)) = double_divide(multiply(A,B),X_87),
inference(resolve,[$cnf( $equal(double_divide(X_87,multiply(A,B)),double_divide(multiply(A,B),inverse(inverse(X_87)))) )],[refute_0_446,refute_0_453]) ).
cnf(refute_0_455,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))),
inference(subst,[],[refute_0_454:[bind(A,$fot(inverse(X_23))),bind(B,$fot(A)),bind(X_87,$fot(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))))]]) ).
cnf(refute_0_456,plain,
( double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) != double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) != double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)))),bind(Y,$fot(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))))),bind(Z,$fot(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))))]]) ).
cnf(refute_0_457,plain,
( double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))) != double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)),double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) = double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(inverse(inverse(C)),inverse(X_23)))),double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))) )],[refute_0_434,refute_0_457]) ).
cnf(refute_0_459,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) != C
| double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) != double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))
| double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)),C) ),[0],$fot(double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))))]]) ).
cnf(refute_0_460,plain,
( double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)) != C
| double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)),double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23))))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
double_divide(multiply(inverse(X_23),A),double_divide(A,multiply(C,inverse(X_23)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(inverse(inverse(C)),inverse(X_23))),multiply(inverse(X_23),A)),C) )],[refute_0_422,refute_0_460]) ).
cnf(refute_0_462,plain,
double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,inverse(inverse(X_54))))) = X_134,
inference(subst,[],[refute_0_461:[bind(A,$fot(X_133)),bind(C,$fot(X_134)),bind(X_23,$fot(inverse(X_54)))]]) ).
cnf(refute_0_463,plain,
( double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,inverse(inverse(X_54))))) != X_134
| inverse(inverse(X_54)) != X_54
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,inverse(inverse(X_54))))),X_134) ),[0,1,1,1],$fot(X_54)]]) ).
cnf(refute_0_464,plain,
( double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,inverse(inverse(X_54))))) != X_134
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_463]) ).
cnf(refute_0_465,plain,
double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,inverse(inverse(X_54))))),X_134) )],[refute_0_462,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(inverse(inverse(X_54)),X_133) = multiply(inverse(inverse(X_54)),X_133),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_54)),X_133))]]) ).
cnf(refute_0_467,plain,
( multiply(inverse(inverse(X_54)),X_133) != multiply(inverse(inverse(X_54)),X_133)
| inverse(inverse(X_54)) != X_54
| multiply(inverse(inverse(X_54)),X_133) = multiply(X_54,X_133) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_54)),X_133),multiply(inverse(inverse(X_54)),X_133)) ),[1,0],$fot(X_54)]]) ).
cnf(refute_0_468,plain,
( inverse(inverse(X_54)) != X_54
| multiply(inverse(inverse(X_54)),X_133) = multiply(X_54,X_133) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_54)),X_133),multiply(inverse(inverse(X_54)),X_133)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(inverse(inverse(X_54)),X_133) = multiply(X_54,X_133),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_468]) ).
cnf(refute_0_470,plain,
double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))))]]) ).
cnf(refute_0_471,plain,
( multiply(inverse(inverse(X_54)),X_133) != multiply(X_54,X_133)
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) != double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54)))
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54)))) ),[1,0],$fot(multiply(X_54,X_133))]]) ).
cnf(refute_0_472,plain,
( multiply(inverse(inverse(X_54)),X_133) != multiply(X_54,X_133)
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) = double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_54)),X_133),multiply(X_54,X_133)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
( double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) != X_134
| double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) != double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))
| double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),X_134) ),[0],$fot(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))]]) ).
cnf(refute_0_475,plain,
( double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))) != X_134
| double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) = X_134,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_54)),X_133),double_divide(X_133,multiply(X_134,X_54))),X_134) )],[refute_0_465,refute_0_475]) ).
cnf(refute_0_477,plain,
double_divide(multiply(X_138,X_136),double_divide(X_136,multiply(X_137,X_138))) = X_137,
inference(subst,[],[refute_0_476:[bind(X_133,$fot(X_136)),bind(X_134,$fot(X_137)),bind(X_54,$fot(X_138))]]) ).
cnf(refute_0_478,plain,
double_divide(multiply(X_137,X_138),X_136) = double_divide(X_136,multiply(X_137,X_138)),
inference(subst,[],[refute_0_314:[bind(X_128,$fot(X_136)),bind(X_92,$fot(multiply(X_137,X_138)))]]) ).
cnf(refute_0_479,plain,
( double_divide(multiply(X_137,X_138),X_136) != double_divide(X_136,multiply(X_137,X_138))
| double_divide(X_136,multiply(X_137,X_138)) = double_divide(multiply(X_137,X_138),X_136) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(multiply(X_137,X_138),X_136))),bind(Y,$fot(double_divide(X_136,multiply(X_137,X_138))))]]) ).
cnf(refute_0_480,plain,
double_divide(X_136,multiply(X_137,X_138)) = double_divide(multiply(X_137,X_138),X_136),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_137,X_138),X_136),double_divide(X_136,multiply(X_137,X_138))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( double_divide(X_136,multiply(X_137,X_138)) != double_divide(multiply(X_137,X_138),X_136)
| double_divide(multiply(X_138,X_136),double_divide(X_136,multiply(X_137,X_138))) != X_137
| double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) = X_137 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_138,X_136),double_divide(X_136,multiply(X_137,X_138))),X_137) ),[0,1],$fot(double_divide(multiply(X_137,X_138),X_136))]]) ).
cnf(refute_0_482,plain,
( double_divide(multiply(X_138,X_136),double_divide(X_136,multiply(X_137,X_138))) != X_137
| double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) = X_137 ),
inference(resolve,[$cnf( $equal(double_divide(X_136,multiply(X_137,X_138)),double_divide(multiply(X_137,X_138),X_136)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) = X_137,
inference(resolve,[$cnf( $equal(double_divide(multiply(X_138,X_136),double_divide(X_136,multiply(X_137,X_138))),X_137) )],[refute_0_477,refute_0_482]) ).
cnf(refute_0_484,plain,
( double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != X_137
| double_divide(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) ),[0,0],$fot(X_137)]]) ).
cnf(refute_0_485,plain,
( double_divide(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),X_137) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) )],[refute_0_417,refute_0_485]) ).
cnf(refute_0_487,plain,
multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) = inverse(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(multiply(X_143,X_144),X_142))),bind(B,$fot(multiply(X_144,X_142)))]]) ).
cnf(refute_0_488,plain,
double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)) = X_143,
inference(subst,[],[refute_0_483:[bind(X_136,$fot(X_142)),bind(X_137,$fot(X_143)),bind(X_138,$fot(X_144))]]) ).
cnf(refute_0_489,plain,
( multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) != inverse(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)))
| double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)) != X_143
| multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) = inverse(X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)),inverse(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)))) ),[1,0],$fot(X_143)]]) ).
cnf(refute_0_490,plain,
( multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) != inverse(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)))
| multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) = inverse(X_143) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)),X_143) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) = inverse(X_143),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)),inverse(double_divide(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(multiply(inverse(C),X_88),C) = multiply(C,multiply(inverse(C),X_88)),
inference(subst,[],[refute_0_324:[bind(A,$fot(C)),bind(B,$fot(multiply(inverse(C),X_88)))]]) ).
cnf(refute_0_493,plain,
( multiply(multiply(inverse(C),X_88),C) != X_88
| multiply(multiply(inverse(C),X_88),C) != multiply(C,multiply(inverse(C),X_88))
| multiply(C,multiply(inverse(C),X_88)) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),X_88),C),X_88) ),[0],$fot(multiply(C,multiply(inverse(C),X_88)))]]) ).
cnf(refute_0_494,plain,
( multiply(multiply(inverse(C),X_88),C) != X_88
| multiply(C,multiply(inverse(C),X_88)) = X_88 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_88),C),multiply(C,multiply(inverse(C),X_88))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(C,multiply(inverse(C),X_88)) = X_88,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),X_88),C),X_88) )],[refute_0_206,refute_0_494]) ).
cnf(refute_0_496,plain,
multiply(X_131,multiply(inverse(X_131),multiply(X_54,X_131))) = multiply(X_54,X_131),
inference(subst,[],[refute_0_495:[bind(C,$fot(X_131)),bind(X_88,$fot(multiply(X_54,X_131)))]]) ).
cnf(refute_0_497,plain,
multiply(inverse(X_116),double_divide(X_4,inverse(X_116))) = inverse(X_4),
inference(subst,[],[refute_0_230:[bind(X_88,$fot(inverse(X_116)))]]) ).
cnf(refute_0_498,plain,
multiply(inverse(X_4),X_116) = double_divide(X_4,inverse(X_116)),
inference(subst,[],[refute_0_238:[bind(X_111,$fot(X_4)),bind(X_4,$fot(X_116))]]) ).
cnf(refute_0_499,plain,
( multiply(inverse(X_4),X_116) != double_divide(X_4,inverse(X_116))
| double_divide(X_4,inverse(X_116)) = multiply(inverse(X_4),X_116) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_4),X_116))),bind(Y,$fot(double_divide(X_4,inverse(X_116))))]]) ).
cnf(refute_0_500,plain,
double_divide(X_4,inverse(X_116)) = multiply(inverse(X_4),X_116),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),X_116),double_divide(X_4,inverse(X_116))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
( multiply(inverse(X_116),double_divide(X_4,inverse(X_116))) != inverse(X_4)
| double_divide(X_4,inverse(X_116)) != multiply(inverse(X_4),X_116)
| multiply(inverse(X_116),multiply(inverse(X_4),X_116)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_116),double_divide(X_4,inverse(X_116))),inverse(X_4)) ),[0,1],$fot(multiply(inverse(X_4),X_116))]]) ).
cnf(refute_0_502,plain,
( multiply(inverse(X_116),double_divide(X_4,inverse(X_116))) != inverse(X_4)
| multiply(inverse(X_116),multiply(inverse(X_4),X_116)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(X_4,inverse(X_116)),multiply(inverse(X_4),X_116)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(inverse(X_116),multiply(inverse(X_4),X_116)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_116),double_divide(X_4,inverse(X_116))),inverse(X_4)) )],[refute_0_497,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(inverse(X_123),multiply(inverse(inverse(X_54)),X_123)) = inverse(inverse(X_54)),
inference(subst,[],[refute_0_503:[bind(X_116,$fot(X_123)),bind(X_4,$fot(inverse(X_54)))]]) ).
cnf(refute_0_505,plain,
( multiply(inverse(X_123),multiply(inverse(inverse(X_54)),X_123)) != inverse(inverse(X_54))
| inverse(inverse(X_54)) != X_54
| multiply(inverse(X_123),multiply(X_54,X_123)) = inverse(inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_123),multiply(inverse(inverse(X_54)),X_123)),inverse(inverse(X_54))) ),[0,1,0],$fot(X_54)]]) ).
cnf(refute_0_506,plain,
( multiply(inverse(X_123),multiply(inverse(inverse(X_54)),X_123)) != inverse(inverse(X_54))
| multiply(inverse(X_123),multiply(X_54,X_123)) = inverse(inverse(X_54)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(inverse(X_123),multiply(X_54,X_123)) = inverse(inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_123),multiply(inverse(inverse(X_54)),X_123)),inverse(inverse(X_54))) )],[refute_0_504,refute_0_506]) ).
cnf(refute_0_508,plain,
( multiply(inverse(X_123),multiply(X_54,X_123)) != inverse(inverse(X_54))
| inverse(inverse(X_54)) != X_54
| multiply(inverse(X_123),multiply(X_54,X_123)) = X_54 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_123),multiply(X_54,X_123)),X_54) ),[0],$fot(inverse(inverse(X_54)))]]) ).
cnf(refute_0_509,plain,
( multiply(inverse(X_123),multiply(X_54,X_123)) != inverse(inverse(X_54))
| multiply(inverse(X_123),multiply(X_54,X_123)) = X_54 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(inverse(X_123),multiply(X_54,X_123)) = X_54,
inference(resolve,[$cnf( $equal(multiply(inverse(X_123),multiply(X_54,X_123)),inverse(inverse(X_54))) )],[refute_0_507,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(inverse(X_131),multiply(X_54,X_131)) = X_54,
inference(subst,[],[refute_0_510:[bind(X_123,$fot(X_131))]]) ).
cnf(refute_0_512,plain,
( multiply(X_131,multiply(inverse(X_131),multiply(X_54,X_131))) != multiply(X_54,X_131)
| multiply(inverse(X_131),multiply(X_54,X_131)) != X_54
| multiply(X_131,X_54) = multiply(X_54,X_131) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_131,multiply(inverse(X_131),multiply(X_54,X_131))),multiply(X_54,X_131)) ),[0,1],$fot(X_54)]]) ).
cnf(refute_0_513,plain,
( multiply(X_131,multiply(inverse(X_131),multiply(X_54,X_131))) != multiply(X_54,X_131)
| multiply(X_131,X_54) = multiply(X_54,X_131) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_131),multiply(X_54,X_131)),X_54) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(X_131,X_54) = multiply(X_54,X_131),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(inverse(X_131),multiply(X_54,X_131))),multiply(X_54,X_131)) )],[refute_0_496,refute_0_513]) ).
cnf(refute_0_515,plain,
( multiply(X_131,X_54) != multiply(X_54,X_131)
| multiply(X_54,X_131) = multiply(X_131,X_54) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_131,X_54))),bind(Y,$fot(multiply(X_54,X_131)))]]) ).
cnf(refute_0_516,plain,
multiply(X_54,X_131) = multiply(X_131,X_54),
inference(resolve,[$cnf( $equal(multiply(X_131,X_54),multiply(X_54,X_131)) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) = multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)),
inference(subst,[],[refute_0_516:[bind(X_131,$fot(multiply(X_144,X_142))),bind(X_54,$fot(double_divide(multiply(X_143,X_144),X_142)))]]) ).
cnf(refute_0_518,plain,
( multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) != multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142))
| multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) != inverse(X_143)
| multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)) = inverse(X_143) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)),inverse(X_143)) ),[0],$fot(multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)))]]) ).
cnf(refute_0_519,plain,
( multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)) != inverse(X_143)
| multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)) = inverse(X_143) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)),multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(multiply(X_144,X_142),double_divide(multiply(X_143,X_144),X_142)) = inverse(X_143),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_143,X_144),X_142),multiply(X_144,X_142)),inverse(X_143)) )],[refute_0_491,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) = inverse(X_137),
inference(subst,[],[refute_0_520:[bind(X_142,$fot(X_136)),bind(X_143,$fot(X_137)),bind(X_144,$fot(X_138))]]) ).
cnf(refute_0_522,plain,
double_divide(double_divide(X_156,X_155),double_divide(multiply(X_54,inverse(X_54)),X_154)) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))),
inference(subst,[],[refute_0_416:[bind(X_149,$fot(multiply(X_54,inverse(X_54)))),bind(X_150,$fot(X_154)),bind(X_151,$fot(X_155)),bind(X_152,$fot(X_156))]]) ).
cnf(refute_0_523,plain,
double_divide(multiply(X_54,inverse(X_54)),X_154) = inverse(X_154),
inference(subst,[],[refute_0_381:[bind(X_103,$fot(X_154))]]) ).
cnf(refute_0_524,plain,
( double_divide(multiply(X_54,inverse(X_54)),X_154) != inverse(X_154)
| double_divide(double_divide(X_156,X_155),double_divide(multiply(X_54,inverse(X_54)),X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(multiply(X_54,inverse(X_54)),X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) ),[0,1],$fot(inverse(X_154))]]) ).
cnf(refute_0_525,plain,
( double_divide(double_divide(X_156,X_155),double_divide(multiply(X_54,inverse(X_54)),X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_54,inverse(X_54)),X_154),inverse(X_154)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(multiply(X_54,inverse(X_54)),X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
inverse(double_divide(X_156,X_155)) = multiply(X_155,X_156),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_155)),bind(B,$fot(X_156))]]) ).
cnf(refute_0_528,plain,
multiply(inverse(double_divide(X_156,X_155)),X_154) = multiply(inverse(double_divide(X_156,X_155)),X_154),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_156,X_155)),X_154))]]) ).
cnf(refute_0_529,plain,
( multiply(inverse(double_divide(X_156,X_155)),X_154) != multiply(inverse(double_divide(X_156,X_155)),X_154)
| inverse(double_divide(X_156,X_155)) != multiply(X_155,X_156)
| multiply(inverse(double_divide(X_156,X_155)),X_154) = multiply(multiply(X_155,X_156),X_154) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_156,X_155)),X_154),multiply(inverse(double_divide(X_156,X_155)),X_154)) ),[1,0],$fot(multiply(X_155,X_156))]]) ).
cnf(refute_0_530,plain,
( inverse(double_divide(X_156,X_155)) != multiply(X_155,X_156)
| multiply(inverse(double_divide(X_156,X_155)),X_154) = multiply(multiply(X_155,X_156),X_154) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_156,X_155)),X_154),multiply(inverse(double_divide(X_156,X_155)),X_154)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(inverse(double_divide(X_156,X_155)),X_154) = multiply(multiply(X_155,X_156),X_154),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_156,X_155)),multiply(X_155,X_156)) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(inverse(double_divide(X_156,X_155)),X_154),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(double_divide(X_156,X_155))),bind(X_4,$fot(X_154))]]) ).
cnf(refute_0_533,plain,
( multiply(inverse(double_divide(X_156,X_155)),X_154) != multiply(multiply(X_155,X_156),X_154)
| double_divide(double_divide(X_156,X_155),inverse(X_154)) != multiply(inverse(double_divide(X_156,X_155)),X_154)
| double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_155,X_156),X_154) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(double_divide(X_156,X_155),inverse(X_154)))),bind(Y,$fot(multiply(inverse(double_divide(X_156,X_155)),X_154))),bind(Z,$fot(multiply(multiply(X_155,X_156),X_154)))]]) ).
cnf(refute_0_534,plain,
( multiply(inverse(double_divide(X_156,X_155)),X_154) != multiply(multiply(X_155,X_156),X_154)
| double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_155,X_156),X_154) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),inverse(X_154)),multiply(inverse(double_divide(X_156,X_155)),X_154)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
double_divide(double_divide(X_156,X_155),inverse(X_154)) = multiply(multiply(X_155,X_156),X_154),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_156,X_155)),X_154),multiply(multiply(X_155,X_156),X_154)) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( double_divide(double_divide(X_156,X_155),inverse(X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| double_divide(double_divide(X_156,X_155),inverse(X_154)) != multiply(multiply(X_155,X_156),X_154)
| multiply(multiply(X_155,X_156),X_154) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_156,X_155),inverse(X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) ),[0],$fot(multiply(multiply(X_155,X_156),X_154))]]) ).
cnf(refute_0_537,plain,
( double_divide(double_divide(X_156,X_155),inverse(X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| multiply(multiply(X_155,X_156),X_154) = multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),inverse(X_154)),multiply(multiply(X_155,X_156),X_154)) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) = multiply(X_154,multiply(X_155,X_156)),
inference(subst,[],[refute_0_408:[bind(X_106,$fot(X_54)),bind(X_88,$fot(multiply(X_154,multiply(X_155,X_156))))]]) ).
cnf(refute_0_539,plain,
( multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))) != multiply(X_154,multiply(X_155,X_156))
| multiply(multiply(X_155,X_156),X_154) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| multiply(multiply(X_155,X_156),X_154) = multiply(X_154,multiply(X_155,X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_155,X_156),X_154),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) ),[1],$fot(multiply(X_154,multiply(X_155,X_156)))]]) ).
cnf(refute_0_540,plain,
( multiply(multiply(X_155,X_156),X_154) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| multiply(multiply(X_155,X_156),X_154) = multiply(X_154,multiply(X_155,X_156)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54))),multiply(X_154,multiply(X_155,X_156))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
( double_divide(double_divide(X_156,X_155),inverse(X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))
| multiply(multiply(X_155,X_156),X_154) = multiply(X_154,multiply(X_155,X_156)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_155,X_156),X_154),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(multiply(X_155,X_156),X_154) = multiply(X_154,multiply(X_155,X_156)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),inverse(X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),multiply(X_54,inverse(X_54)))) )],[refute_0_526,refute_0_541]) ).
cnf(refute_0_543,plain,
( multiply(multiply(X_155,X_156),X_154) != multiply(X_154,multiply(X_155,X_156))
| multiply(X_154,multiply(X_155,X_156)) = multiply(multiply(X_155,X_156),X_154) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(X_155,X_156),X_154))),bind(Y,$fot(multiply(X_154,multiply(X_155,X_156))))]]) ).
cnf(refute_0_544,plain,
multiply(X_154,multiply(X_155,X_156)) = multiply(multiply(X_155,X_156),X_154),
inference(resolve,[$cnf( $equal(multiply(multiply(X_155,X_156),X_154),multiply(X_154,multiply(X_155,X_156))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) = multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),
inference(subst,[],[refute_0_544:[bind(X_154,$fot(double_divide(multiply(X_137,X_138),X_136))),bind(X_155,$fot(X_138)),bind(X_156,$fot(X_136))]]) ).
cnf(refute_0_546,plain,
( multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != inverse(X_137)
| multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) != multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))
| multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) = inverse(X_137) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))),bind(Y,$fot(multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))),bind(Z,$fot(inverse(X_137)))]]) ).
cnf(refute_0_547,plain,
( multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != inverse(X_137)
| multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) = inverse(X_137) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)),multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) = inverse(X_137),
inference(resolve,[$cnf( $equal(multiply(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),inverse(X_137)) )],[refute_0_521,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) = multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),
introduced(tautology,[refl,[$fot(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))))]]) ).
cnf(refute_0_550,plain,
( multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) != multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))
| multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) != inverse(X_137)
| multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) = multiply(X_154,inverse(X_137)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) ),[1,1],$fot(inverse(X_137))]]) ).
cnf(refute_0_551,plain,
( multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)) != inverse(X_137)
| multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) = multiply(X_154,inverse(X_137)) ),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) = multiply(X_154,inverse(X_137)),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)),inverse(X_137)) )],[refute_0_548,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) = multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),
introduced(tautology,[refl,[$fot(multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153))]]) ).
cnf(refute_0_554,plain,
( multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) != multiply(X_154,inverse(X_137))
| multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) != multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)
| multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) = multiply(multiply(X_154,inverse(X_137)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) ),[1,0],$fot(multiply(X_154,inverse(X_137)))]]) ).
cnf(refute_0_555,plain,
( multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))) != multiply(X_154,inverse(X_137))
| multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) = multiply(multiply(X_154,inverse(X_137)),X_153) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) = multiply(multiply(X_154,inverse(X_137)),X_153),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_154,inverse(X_137))) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
( multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153) != multiply(multiply(X_154,inverse(X_137)),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,inverse(X_137)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) ),[1],$fot(multiply(multiply(X_154,inverse(X_137)),X_153))]]) ).
cnf(refute_0_558,plain,
( double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,inverse(X_137)),X_153) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153),multiply(multiply(X_154,inverse(X_137)),X_153)) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(X_154,inverse(X_137)),X_153),
inference(resolve,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),X_153)) )],[refute_0_486,refute_0_558]) ).
cnf(refute_0_560,plain,
double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,inverse(inverse(X_54))),X_158),
inference(subst,[],[refute_0_559:[bind(X_137,$fot(inverse(X_54))),bind(X_153,$fot(X_158)),bind(X_154,$fot(X_159))]]) ).
cnf(refute_0_561,plain,
( double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(multiply(X_159,inverse(inverse(X_54))),X_158)
| inverse(inverse(X_54)) != X_54
| double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_54),X_158) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(multiply(X_159,inverse(inverse(X_54))),X_158)) ),[1,0,1],$fot(X_54)]]) ).
cnf(refute_0_562,plain,
( double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(multiply(X_159,inverse(inverse(X_54))),X_158)
| double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_54),X_158) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_561]) ).
cnf(refute_0_563,plain,
double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_54),X_158),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(multiply(X_159,inverse(inverse(X_54))),X_158)) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
inverse(double_divide(X_158,X_159)) = multiply(X_159,X_158),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_159)),bind(B,$fot(X_158))]]) ).
cnf(refute_0_565,plain,
multiply(inverse(double_divide(X_158,X_159)),X_54) = multiply(inverse(double_divide(X_158,X_159)),X_54),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_158,X_159)),X_54))]]) ).
cnf(refute_0_566,plain,
( multiply(inverse(double_divide(X_158,X_159)),X_54) != multiply(inverse(double_divide(X_158,X_159)),X_54)
| inverse(double_divide(X_158,X_159)) != multiply(X_159,X_158)
| multiply(inverse(double_divide(X_158,X_159)),X_54) = multiply(multiply(X_159,X_158),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_158,X_159)),X_54),multiply(inverse(double_divide(X_158,X_159)),X_54)) ),[1,0],$fot(multiply(X_159,X_158))]]) ).
cnf(refute_0_567,plain,
( inverse(double_divide(X_158,X_159)) != multiply(X_159,X_158)
| multiply(inverse(double_divide(X_158,X_159)),X_54) = multiply(multiply(X_159,X_158),X_54) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_158,X_159)),X_54),multiply(inverse(double_divide(X_158,X_159)),X_54)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(inverse(double_divide(X_158,X_159)),X_54) = multiply(multiply(X_159,X_158),X_54),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_158,X_159)),multiply(X_159,X_158)) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
double_divide(X_87,multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))))))) = double_divide(inverse(X_4),inverse(inverse(X_87))),
inference(subst,[],[refute_0_162:[bind(X_81,$fot(double_divide(inverse(X_4),inverse(inverse(X_87))))),bind(X_82,$fot(double_divide(inverse(X_4),inverse(inverse(X_87))))),bind(X_83,$fot(X_87))]]) ).
cnf(refute_0_570,plain,
multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87))))))) = inverse(X_4),
inference(subst,[],[refute_0_63:[bind(X_6,$fot(inverse(inverse(X_87)))),bind(X_7,$fot(double_divide(inverse(X_4),inverse(inverse(X_87)))))]]) ).
cnf(refute_0_571,plain,
( multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87))))))) != inverse(X_4)
| double_divide(X_87,multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))))))) != double_divide(inverse(X_4),inverse(inverse(X_87)))
| double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),inverse(inverse(X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_87,multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))))))),double_divide(inverse(X_4),inverse(inverse(X_87)))) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_572,plain,
( double_divide(X_87,multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))))))) != double_divide(inverse(X_4),inverse(inverse(X_87)))
| double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),inverse(inverse(X_87))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87))))))),inverse(X_4)) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),inverse(inverse(X_87))),
inference(resolve,[$cnf( $equal(double_divide(X_87,multiply(inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))),double_divide(double_divide(inverse(X_4),inverse(inverse(X_87))),multiply(inverse(inverse(X_87)),inverse(double_divide(inverse(X_4),inverse(inverse(X_87)))))))),double_divide(inverse(X_4),inverse(inverse(X_87)))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
double_divide(inverse(X_4),inverse(inverse(X_87))) = double_divide(inverse(X_4),inverse(inverse(X_87))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_4),inverse(inverse(X_87))))]]) ).
cnf(refute_0_575,plain,
( double_divide(inverse(X_4),inverse(inverse(X_87))) != double_divide(inverse(X_4),inverse(inverse(X_87)))
| inverse(inverse(X_87)) != X_87
| double_divide(inverse(X_4),inverse(inverse(X_87))) = double_divide(inverse(X_4),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_4),inverse(inverse(X_87))),double_divide(inverse(X_4),inverse(inverse(X_87)))) ),[1,1],$fot(X_87)]]) ).
cnf(refute_0_576,plain,
( inverse(inverse(X_87)) != X_87
| double_divide(inverse(X_4),inverse(inverse(X_87))) = double_divide(inverse(X_4),X_87) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(inverse(X_87))),double_divide(inverse(X_4),inverse(inverse(X_87)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
double_divide(inverse(X_4),inverse(inverse(X_87))) = double_divide(inverse(X_4),X_87),
inference(resolve,[$cnf( $equal(inverse(inverse(X_87)),X_87) )],[refute_0_447,refute_0_576]) ).
cnf(refute_0_578,plain,
( double_divide(X_87,inverse(X_4)) != double_divide(inverse(X_4),inverse(inverse(X_87)))
| double_divide(inverse(X_4),inverse(inverse(X_87))) != double_divide(inverse(X_4),X_87)
| double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),X_87) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_87,inverse(X_4)),double_divide(inverse(X_4),X_87)) ),[0],$fot(double_divide(inverse(X_4),inverse(inverse(X_87))))]]) ).
cnf(refute_0_579,plain,
( double_divide(X_87,inverse(X_4)) != double_divide(inverse(X_4),inverse(inverse(X_87)))
| double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),X_87) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(inverse(X_87))),double_divide(inverse(X_4),X_87)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
double_divide(X_87,inverse(X_4)) = double_divide(inverse(X_4),X_87),
inference(resolve,[$cnf( $equal(double_divide(X_87,inverse(X_4)),double_divide(inverse(X_4),inverse(inverse(X_87)))) )],[refute_0_573,refute_0_579]) ).
cnf(refute_0_581,plain,
double_divide(X_87,inverse(X_4)) = multiply(inverse(X_87),X_4),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(X_87))]]) ).
cnf(refute_0_582,plain,
( double_divide(X_87,inverse(X_4)) != multiply(inverse(X_87),X_4)
| double_divide(X_87,inverse(X_4)) != double_divide(inverse(X_4),X_87)
| multiply(inverse(X_87),X_4) = double_divide(inverse(X_4),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_87,inverse(X_4)),double_divide(inverse(X_4),X_87)) ),[0],$fot(multiply(inverse(X_87),X_4))]]) ).
cnf(refute_0_583,plain,
( double_divide(X_87,inverse(X_4)) != double_divide(inverse(X_4),X_87)
| multiply(inverse(X_87),X_4) = double_divide(inverse(X_4),X_87) ),
inference(resolve,[$cnf( $equal(double_divide(X_87,inverse(X_4)),multiply(inverse(X_87),X_4)) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
multiply(inverse(X_87),X_4) = double_divide(inverse(X_4),X_87),
inference(resolve,[$cnf( $equal(double_divide(X_87,inverse(X_4)),double_divide(inverse(X_4),X_87)) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
( multiply(inverse(X_87),X_4) != double_divide(inverse(X_4),X_87)
| double_divide(inverse(X_4),X_87) = multiply(inverse(X_87),X_4) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_87),X_4))),bind(Y,$fot(double_divide(inverse(X_4),X_87)))]]) ).
cnf(refute_0_586,plain,
double_divide(inverse(X_4),X_87) = multiply(inverse(X_87),X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_87),X_4),double_divide(inverse(X_4),X_87)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(inverse(double_divide(X_158,X_159)),X_54),
inference(subst,[],[refute_0_586:[bind(X_4,$fot(X_54)),bind(X_87,$fot(double_divide(X_158,X_159)))]]) ).
cnf(refute_0_588,plain,
( multiply(inverse(double_divide(X_158,X_159)),X_54) != multiply(multiply(X_159,X_158),X_54)
| double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(inverse(double_divide(X_158,X_159)),X_54)
| double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_158),X_54) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_54),double_divide(X_158,X_159)))),bind(Y,$fot(multiply(inverse(double_divide(X_158,X_159)),X_54))),bind(Z,$fot(multiply(multiply(X_159,X_158),X_54)))]]) ).
cnf(refute_0_589,plain,
( multiply(inverse(double_divide(X_158,X_159)),X_54) != multiply(multiply(X_159,X_158),X_54)
| double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_158),X_54) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(inverse(double_divide(X_158,X_159)),X_54)) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
double_divide(inverse(X_54),double_divide(X_158,X_159)) = multiply(multiply(X_159,X_158),X_54),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_158,X_159)),X_54),multiply(multiply(X_159,X_158),X_54)) )],[refute_0_568,refute_0_589]) ).
cnf(refute_0_591,plain,
( double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(multiply(X_159,X_158),X_54)
| double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(multiply(X_159,X_54),X_158)
| multiply(multiply(X_159,X_158),X_54) = multiply(multiply(X_159,X_54),X_158) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(multiply(X_159,X_54),X_158)) ),[0],$fot(multiply(multiply(X_159,X_158),X_54))]]) ).
cnf(refute_0_592,plain,
( double_divide(inverse(X_54),double_divide(X_158,X_159)) != multiply(multiply(X_159,X_54),X_158)
| multiply(multiply(X_159,X_158),X_54) = multiply(multiply(X_159,X_54),X_158) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(multiply(X_159,X_158),X_54)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(multiply(X_159,X_158),X_54) = multiply(multiply(X_159,X_54),X_158),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_158,X_159)),multiply(multiply(X_159,X_54),X_158)) )],[refute_0_563,refute_0_592]) ).
cnf(refute_0_594,plain,
double_divide(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_97:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(X_2,$fot(double_divide(A,B))),bind(X_3,$fot(multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_595,plain,
( double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)) != C
| double_divide(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(X_9,X_8)
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(X_9,X_8)) ),[0,0],$fot(C)]]) ).
cnf(refute_0_596,plain,
( double_divide(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(X_9,X_8)
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),C) )],[refute_0_22,refute_0_595]) ).
cnf(refute_0_597,plain,
double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(A,B),multiply(multiply(B,inverse(C)),A)),multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(X_9,X_8)) )],[refute_0_594,refute_0_596]) ).
cnf(refute_0_598,plain,
( double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,inverse(X_137)),X_153)
| multiply(multiply(X_154,inverse(X_137)),X_153) = double_divide(X_137,double_divide(X_153,X_154)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_137,double_divide(X_153,X_154)))),bind(Y,$fot(multiply(multiply(X_154,inverse(X_137)),X_153)))]]) ).
cnf(refute_0_599,plain,
multiply(multiply(X_154,inverse(X_137)),X_153) = double_divide(X_137,double_divide(X_153,X_154)),
inference(resolve,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,inverse(X_137)),X_153)) )],[refute_0_559,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(multiply(B,inverse(C)),A) = double_divide(C,double_divide(A,B)),
inference(subst,[],[refute_0_599:[bind(X_137,$fot(C)),bind(X_153,$fot(A)),bind(X_154,$fot(B))]]) ).
cnf(refute_0_601,plain,
multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)))]]) ).
cnf(refute_0_602,plain,
( multiply(multiply(B,inverse(C)),A) != double_divide(C,double_divide(A,B))
| multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A))
| multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)),multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A))) ),[1,1],$fot(double_divide(C,double_divide(A,B)))]]) ).
cnf(refute_0_603,plain,
( multiply(multiply(B,inverse(C)),A) != double_divide(C,double_divide(A,B))
| multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)),multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))),
inference(resolve,[$cnf( $equal(multiply(multiply(B,inverse(C)),A),double_divide(C,double_divide(A,B))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153),
inference(subst,[],[refute_0_416:[bind(X_149,$fot(X_153)),bind(X_150,$fot(X_154)),bind(X_151,$fot(X_155)),bind(X_152,$fot(X_156))]]) ).
cnf(refute_0_606,plain,
double_divide(X_154,X_153) = double_divide(X_153,X_154),
inference(subst,[],[refute_0_314:[bind(X_128,$fot(X_153)),bind(X_92,$fot(X_154))]]) ).
cnf(refute_0_607,plain,
( double_divide(X_154,X_153) != double_divide(X_153,X_154)
| double_divide(X_153,X_154) = double_divide(X_154,X_153) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_154,X_153))),bind(Y,$fot(double_divide(X_153,X_154)))]]) ).
cnf(refute_0_608,plain,
double_divide(X_153,X_154) = double_divide(X_154,X_153),
inference(resolve,[$cnf( $equal(double_divide(X_154,X_153),double_divide(X_153,X_154)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( double_divide(X_153,X_154) != double_divide(X_154,X_153)
| double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) ),[0,1],$fot(double_divide(X_154,X_153))]]) ).
cnf(refute_0_610,plain,
( double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153) ),
inference(resolve,[$cnf( $equal(double_divide(X_153,X_154),double_divide(X_154,X_153)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) )],[refute_0_605,refute_0_610]) ).
cnf(refute_0_612,plain,
double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) = multiply(multiply(X_153,multiply(X_155,X_156)),X_154),
inference(subst,[],[refute_0_416:[bind(X_149,$fot(X_154)),bind(X_150,$fot(X_153)),bind(X_151,$fot(X_155)),bind(X_152,$fot(X_156))]]) ).
cnf(refute_0_613,plain,
( double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) != multiply(multiply(X_153,multiply(X_155,X_156)),X_154)
| double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| multiply(multiply(X_153,multiply(X_155,X_156)),X_154) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) ),[0],$fot(multiply(multiply(X_153,multiply(X_155,X_156)),X_154))]]) ).
cnf(refute_0_614,plain,
( double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| multiply(multiply(X_153,multiply(X_155,X_156)),X_154) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)),multiply(multiply(X_153,multiply(X_155,X_156)),X_154)) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(multiply(X_153,multiply(X_155,X_156)),X_154) = multiply(multiply(X_154,multiply(X_155,X_156)),X_153),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_154,X_153)),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
( multiply(multiply(X_153,multiply(X_155,X_156)),X_154) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| multiply(multiply(X_154,multiply(X_155,X_156)),X_153) = multiply(multiply(X_153,multiply(X_155,X_156)),X_154) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(X_153,multiply(X_155,X_156)),X_154))),bind(Y,$fot(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)))]]) ).
cnf(refute_0_617,plain,
multiply(multiply(X_154,multiply(X_155,X_156)),X_153) = multiply(multiply(X_153,multiply(X_155,X_156)),X_154),
inference(resolve,[$cnf( $equal(multiply(multiply(X_153,multiply(X_155,X_156)),X_154),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)),
inference(subst,[],[refute_0_617:[bind(X_153,$fot(double_divide(A,B))),bind(X_154,$fot(multiply(multiply(B,inverse(C)),A))),bind(X_155,$fot(X_8)),bind(X_156,$fot(X_9))]]) ).
cnf(refute_0_619,plain,
( multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A))
| multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))
| multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)))),bind(Y,$fot(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)))),bind(Z,$fot(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))))]]) ).
cnf(refute_0_620,plain,
( multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))
| multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)),multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) = multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),multiply(multiply(B,inverse(C)),A)),multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) )],[refute_0_604,refute_0_620]) ).
cnf(refute_0_622,plain,
double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),
introduced(tautology,[refl,[$fot(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))))]]) ).
cnf(refute_0_623,plain,
( multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)))
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)))) ),[1,1],$fot(multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))))]]) ).
cnf(refute_0_624,plain,
( multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)) != multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) = double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B)),multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
( double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))))
| double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(X_9,X_8)
| double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) = double_divide(X_9,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(X_9,X_8)) ),[0],$fot(double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))))]]) ).
cnf(refute_0_627,plain,
( double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))) != double_divide(X_9,X_8)
| double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) = double_divide(X_9,X_8) ),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
double_divide(C,multiply(multiply(double_divide(A,B),multiply(X_8,X_9)),double_divide(C,double_divide(A,B)))) = double_divide(X_9,X_8),
inference(resolve,[$cnf( $equal(double_divide(C,multiply(multiply(multiply(multiply(B,inverse(C)),A),multiply(X_8,X_9)),double_divide(A,B))),double_divide(X_9,X_8)) )],[refute_0_597,refute_0_627]) ).
cnf(refute_0_629,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_160)),bind(B,$fot(X_161)),bind(C,$fot(X_162)),bind(X_8,$fot(double_divide(multiply(X_137,X_138),X_136))),bind(X_9,$fot(multiply(X_138,X_136)))]]) ).
cnf(refute_0_630,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))
| double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != X_137
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = X_137 ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),X_137) ),[0],$fot(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))]]) ).
cnf(refute_0_631,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = X_137 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),X_137) )],[refute_0_483,refute_0_630]) ).
cnf(refute_0_632,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = X_137,
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) )],[refute_0_629,refute_0_631]) ).
cnf(refute_0_633,plain,
double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161))))) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),
inference(subst,[],[refute_0_476:[bind(X_134,$fot(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)))),bind(X_54,$fot(double_divide(X_133,double_divide(X_160,X_161))))]]) ).
cnf(refute_0_634,plain,
double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161)))) = double_divide(X_164,X_163),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_160)),bind(B,$fot(X_161)),bind(C,$fot(X_133)),bind(X_8,$fot(X_163)),bind(X_9,$fot(X_164))]]) ).
cnf(refute_0_635,plain,
( double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161)))) != double_divide(X_164,X_163)
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161))))) != multiply(double_divide(X_160,X_161),multiply(X_163,X_164))
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161))))),multiply(double_divide(X_160,X_161),multiply(X_163,X_164))) ),[0,1],$fot(double_divide(X_164,X_163))]]) ).
cnf(refute_0_636,plain,
( double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161))))) != multiply(double_divide(X_160,X_161),multiply(X_163,X_164))
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161)))),double_divide(X_164,X_163)) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_133,multiply(multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),double_divide(X_133,double_divide(X_160,X_161))))),multiply(double_divide(X_160,X_161),multiply(X_163,X_164))) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
inverse(double_divide(X_160,X_161)) = multiply(X_161,X_160),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_161)),bind(B,$fot(X_160))]]) ).
cnf(refute_0_639,plain,
multiply(multiply(multiply(inverse(inverse(X_4)),inverse(X_4)),X_2),double_divide(X_2,inverse(inverse(X_4)))) = inverse(X_4),
inference(subst,[],[refute_0_32:[bind(X_3,$fot(inverse(inverse(X_4))))]]) ).
cnf(refute_0_640,plain,
multiply(inverse(inverse(X_4)),inverse(X_4)) = multiply(inverse(X_59),X_59),
inference(subst,[],[refute_0_144:[bind(A,$fot(X_59)),bind(X_58,$fot(inverse(X_4)))]]) ).
cnf(refute_0_641,plain,
( multiply(multiply(multiply(inverse(inverse(X_4)),inverse(X_4)),X_2),double_divide(X_2,inverse(inverse(X_4)))) != inverse(X_4)
| multiply(inverse(inverse(X_4)),inverse(X_4)) != multiply(inverse(X_59),X_59)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(inverse(X_4)),inverse(X_4)),X_2),double_divide(X_2,inverse(inverse(X_4)))),inverse(X_4)) ),[0,0,0],$fot(multiply(inverse(X_59),X_59))]]) ).
cnf(refute_0_642,plain,
( multiply(multiply(multiply(inverse(inverse(X_4)),inverse(X_4)),X_2),double_divide(X_2,inverse(inverse(X_4)))) != inverse(X_4)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_4)),inverse(X_4)),multiply(inverse(X_59),X_59)) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(inverse(X_4)),inverse(X_4)),X_2),double_divide(X_2,inverse(inverse(X_4)))),inverse(X_4)) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
inverse(inverse(X_4)) = X_4,
inference(subst,[],[refute_0_192:[bind(X_54,$fot(X_4))]]) ).
cnf(refute_0_645,plain,
double_divide(X_2,inverse(inverse(X_4))) = double_divide(X_2,inverse(inverse(X_4))),
introduced(tautology,[refl,[$fot(double_divide(X_2,inverse(inverse(X_4))))]]) ).
cnf(refute_0_646,plain,
( double_divide(X_2,inverse(inverse(X_4))) != double_divide(X_2,inverse(inverse(X_4)))
| inverse(inverse(X_4)) != X_4
| double_divide(X_2,inverse(inverse(X_4))) = double_divide(X_2,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,inverse(inverse(X_4))),double_divide(X_2,inverse(inverse(X_4)))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_647,plain,
( inverse(inverse(X_4)) != X_4
| double_divide(X_2,inverse(inverse(X_4))) = double_divide(X_2,X_4) ),
inference(resolve,[$cnf( $equal(double_divide(X_2,inverse(inverse(X_4))),double_divide(X_2,inverse(inverse(X_4)))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
double_divide(X_2,inverse(inverse(X_4))) = double_divide(X_2,X_4),
inference(resolve,[$cnf( $equal(inverse(inverse(X_4)),X_4) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))))]]) ).
cnf(refute_0_650,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) != multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4))))
| double_divide(X_2,inverse(inverse(X_4))) != double_divide(X_2,X_4)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4))))) ),[1,1],$fot(double_divide(X_2,X_4))]]) ).
cnf(refute_0_651,plain,
( double_divide(X_2,inverse(inverse(X_4))) != double_divide(X_2,X_4)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4))))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) = multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),
inference(resolve,[$cnf( $equal(double_divide(X_2,inverse(inverse(X_4))),double_divide(X_2,X_4)) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) != multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4))
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) != inverse(X_4)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),inverse(X_4)) ),[0],$fot(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)))]]) ).
cnf(refute_0_654,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))) != inverse(X_4)
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,inverse(inverse(X_4)))),inverse(X_4)) )],[refute_0_643,refute_0_654]) ).
cnf(refute_0_656,plain,
multiply(multiply(inverse(X_52),X_52),inverse(inverse(X_88))) = inverse(inverse(X_88)),
inference(subst,[],[refute_0_89:[bind(X_7,$fot(inverse(X_88)))]]) ).
cnf(refute_0_657,plain,
( multiply(multiply(inverse(X_52),X_52),inverse(inverse(X_88))) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(multiply(inverse(X_52),X_52),X_88) = inverse(inverse(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_52),X_52),inverse(inverse(X_88))),inverse(inverse(X_88))) ),[0,1],$fot(X_88)]]) ).
cnf(refute_0_658,plain,
( multiply(multiply(inverse(X_52),X_52),inverse(inverse(X_88))) != inverse(inverse(X_88))
| multiply(multiply(inverse(X_52),X_52),X_88) = inverse(inverse(X_88)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_657]) ).
cnf(refute_0_659,plain,
multiply(multiply(inverse(X_52),X_52),X_88) = inverse(inverse(X_88)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_52),X_52),inverse(inverse(X_88))),inverse(inverse(X_88))) )],[refute_0_656,refute_0_658]) ).
cnf(refute_0_660,plain,
( multiply(multiply(inverse(X_52),X_52),X_88) != inverse(inverse(X_88))
| inverse(inverse(X_88)) != X_88
| multiply(multiply(inverse(X_52),X_52),X_88) = X_88 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_52),X_52),X_88),X_88) ),[0],$fot(inverse(inverse(X_88)))]]) ).
cnf(refute_0_661,plain,
( multiply(multiply(inverse(X_52),X_52),X_88) != inverse(inverse(X_88))
| multiply(multiply(inverse(X_52),X_52),X_88) = X_88 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_88)),X_88) )],[refute_0_200,refute_0_660]) ).
cnf(refute_0_662,plain,
multiply(multiply(inverse(X_52),X_52),X_88) = X_88,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_52),X_52),X_88),inverse(inverse(X_88))) )],[refute_0_659,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(multiply(inverse(X_59),X_59),X_2) = X_2,
inference(subst,[],[refute_0_662:[bind(X_52,$fot(X_59)),bind(X_88,$fot(X_2))]]) ).
cnf(refute_0_664,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)))]]) ).
cnf(refute_0_665,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) != multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4))
| multiply(multiply(inverse(X_59),X_59),X_2) != X_2
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = multiply(X_2,double_divide(X_2,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4))) ),[1,0],$fot(X_2)]]) ).
cnf(refute_0_666,plain,
( multiply(multiply(inverse(X_59),X_59),X_2) != X_2
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = multiply(X_2,double_divide(X_2,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) = multiply(X_2,double_divide(X_2,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_59),X_59),X_2),X_2) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) != multiply(X_2,double_divide(X_2,X_4))
| multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) != inverse(X_4)
| multiply(X_2,double_divide(X_2,X_4)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),inverse(X_4)) ),[0],$fot(multiply(X_2,double_divide(X_2,X_4)))]]) ).
cnf(refute_0_669,plain,
( multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)) != inverse(X_4)
| multiply(X_2,double_divide(X_2,X_4)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),multiply(X_2,double_divide(X_2,X_4))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(X_2,double_divide(X_2,X_4)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_59),X_59),X_2),double_divide(X_2,X_4)),inverse(X_4)) )],[refute_0_655,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) = inverse(double_divide(X_160,X_161)),
inference(subst,[],[refute_0_670:[bind(X_2,$fot(X_133)),bind(X_4,$fot(double_divide(X_160,X_161)))]]) ).
cnf(refute_0_672,plain,
( multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) != inverse(double_divide(X_160,X_161))
| inverse(double_divide(X_160,X_161)) != multiply(X_161,X_160)
| multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) = multiply(X_161,X_160) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))))),bind(Y,$fot(inverse(double_divide(X_160,X_161)))),bind(Z,$fot(multiply(X_161,X_160)))]]) ).
cnf(refute_0_673,plain,
( inverse(double_divide(X_160,X_161)) != multiply(X_161,X_160)
| multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) = multiply(X_161,X_160) ),
inference(resolve,[$cnf( $equal(multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))),inverse(double_divide(X_160,X_161))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) = multiply(X_161,X_160),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_160,X_161)),multiply(X_161,X_160)) )],[refute_0_638,refute_0_673]) ).
cnf(refute_0_675,plain,
multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) = multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))),
inference(subst,[],[refute_0_516:[bind(X_131,$fot(X_133)),bind(X_54,$fot(double_divide(X_133,double_divide(X_160,X_161))))]]) ).
cnf(refute_0_676,plain,
( multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) != multiply(X_161,X_160)
| multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) != multiply(X_133,double_divide(X_133,double_divide(X_160,X_161)))
| multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) = multiply(X_161,X_160) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133))),bind(Y,$fot(multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))))),bind(Z,$fot(multiply(X_161,X_160)))]]) ).
cnf(refute_0_677,plain,
( multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))) != multiply(X_161,X_160)
| multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) = multiply(X_161,X_160) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),multiply(X_133,double_divide(X_133,double_divide(X_160,X_161)))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) = multiply(X_161,X_160),
inference(resolve,[$cnf( $equal(multiply(X_133,double_divide(X_133,double_divide(X_160,X_161))),multiply(X_161,X_160)) )],[refute_0_674,refute_0_677]) ).
cnf(refute_0_679,plain,
double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)))]]) ).
cnf(refute_0_680,plain,
( multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) != multiply(X_161,X_160)
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) != double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163))
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163))) ),[1,0],$fot(multiply(X_161,X_160))]]) ).
cnf(refute_0_681,plain,
( multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133) != multiply(X_161,X_160)
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) = double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),multiply(X_161,X_160)) )],[refute_0_678,refute_0_681]) ).
cnf(refute_0_683,plain,
( double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) != multiply(double_divide(X_160,X_161),multiply(X_163,X_164))
| double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) != double_divide(multiply(X_161,X_160),double_divide(X_164,X_163))
| double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),multiply(double_divide(X_160,X_161),multiply(X_163,X_164))) ),[0],$fot(double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)))]]) ).
cnf(refute_0_684,plain,
( double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)) != multiply(double_divide(X_160,X_161),multiply(X_163,X_164))
| double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),double_divide(multiply(X_161,X_160),double_divide(X_164,X_163))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
double_divide(multiply(X_161,X_160),double_divide(X_164,X_163)) = multiply(double_divide(X_160,X_161),multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_133,double_divide(X_160,X_161)),X_133),double_divide(X_164,X_163)),multiply(double_divide(X_160,X_161),multiply(X_163,X_164))) )],[refute_0_637,refute_0_684]) ).
cnf(refute_0_686,plain,
double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))),
inference(subst,[],[refute_0_685:[bind(X_160,$fot(X_136)),bind(X_161,$fot(X_138)),bind(X_163,$fot(X_136)),bind(X_164,$fot(multiply(X_137,X_138)))]]) ).
cnf(refute_0_687,plain,
double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146)))) = X_134,
inference(subst,[],[refute_0_476:[bind(X_133,$fot(double_divide(X_146,X_145))),bind(X_54,$fot(multiply(X_145,X_146)))]]) ).
cnf(refute_0_688,plain,
double_divide(double_divide(B,A),multiply(X_117,inverse(double_divide(B,A)))) = inverse(X_117),
inference(subst,[],[refute_0_195:[bind(X_54,$fot(X_117)),bind(X_92,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_689,plain,
( double_divide(double_divide(B,A),multiply(X_117,inverse(double_divide(B,A)))) != inverse(X_117)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(B,A),multiply(X_117,multiply(A,B))) = inverse(X_117) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,A),multiply(X_117,inverse(double_divide(B,A)))),inverse(X_117)) ),[0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_690,plain,
( double_divide(double_divide(B,A),multiply(X_117,inverse(double_divide(B,A)))) != inverse(X_117)
| double_divide(double_divide(B,A),multiply(X_117,multiply(A,B))) = inverse(X_117) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_689]) ).
cnf(refute_0_691,plain,
double_divide(double_divide(B,A),multiply(X_117,multiply(A,B))) = inverse(X_117),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(X_117,inverse(double_divide(B,A)))),inverse(X_117)) )],[refute_0_688,refute_0_690]) ).
cnf(refute_0_692,plain,
double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146))) = inverse(X_134),
inference(subst,[],[refute_0_691:[bind(A,$fot(X_145)),bind(B,$fot(X_146)),bind(X_117,$fot(X_134))]]) ).
cnf(refute_0_693,plain,
( double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146)))) != X_134
| double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146))) != inverse(X_134)
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = X_134 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146)))),X_134) ),[0,1],$fot(inverse(X_134))]]) ).
cnf(refute_0_694,plain,
( double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146)))) != X_134
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = X_134 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146))),inverse(X_134)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = X_134,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),double_divide(double_divide(X_146,X_145),multiply(X_134,multiply(X_145,X_146)))),X_134) )],[refute_0_687,refute_0_694]) ).
cnf(refute_0_696,plain,
( double_divide(X_92,X_128) != double_divide(X_128,X_92)
| double_divide(X_128,X_92) = double_divide(X_92,X_128) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_92,X_128))),bind(Y,$fot(double_divide(X_128,X_92)))]]) ).
cnf(refute_0_697,plain,
double_divide(X_128,X_92) = double_divide(X_92,X_128),
inference(resolve,[$cnf( $equal(double_divide(X_92,X_128),double_divide(X_128,X_92)) )],[refute_0_314,refute_0_696]) ).
cnf(refute_0_698,plain,
double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)) = double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),
inference(subst,[],[refute_0_697:[bind(X_128,$fot(double_divide(X_146,X_145))),bind(X_92,$fot(multiply(X_145,X_146)))]]) ).
cnf(refute_0_699,plain,
inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) = double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)),
inference(subst,[],[refute_0_307:[bind(X_8,$fot(multiply(X_145,X_146))),bind(X_9,$fot(double_divide(X_146,X_145)))]]) ).
cnf(refute_0_700,plain,
( double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)) != double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))
| inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) != double_divide(double_divide(X_146,X_145),multiply(X_145,X_146))
| inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) = double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))))),bind(Y,$fot(double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)))),bind(Z,$fot(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))))]]) ).
cnf(refute_0_701,plain,
( double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)) != double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))
| inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) = double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),double_divide(double_divide(X_146,X_145),multiply(X_145,X_146))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) = double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_146,X_145),multiply(X_145,X_146)),double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) = multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134))]]) ).
cnf(refute_0_704,plain,
( multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) != multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134)
| inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) != double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))
| multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134),multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134)) ),[1,0],$fot(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)))]]) ).
cnf(refute_0_705,plain,
( inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))) != double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))
| multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134),multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),double_divide(multiply(X_145,X_146),double_divide(X_146,X_145))) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)))),bind(X_4,$fot(X_134))]]) ).
cnf(refute_0_708,plain,
( multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) != multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) != multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134)
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)))),bind(Y,$fot(multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134))),bind(Z,$fot(multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)))]]) ).
cnf(refute_0_709,plain,
( multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134) != multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)),multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) = multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_145,X_146),double_divide(X_146,X_145))),X_134),multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
( double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) != X_134
| double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) != multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)
| multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) = X_134 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)),X_134) ),[0],$fot(multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134))]]) ).
cnf(refute_0_712,plain,
( double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)) != X_134
| multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) = X_134 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)),multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(double_divide(multiply(X_145,X_146),double_divide(X_146,X_145)),X_134) = X_134,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_145,X_146),double_divide(X_146,X_145)),inverse(X_134)),X_134) )],[refute_0_695,refute_0_712]) ).
cnf(refute_0_714,plain,
multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) = double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),
inference(subst,[],[refute_0_713:[bind(X_134,$fot(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))),bind(X_145,$fot(X_161)),bind(X_146,$fot(X_160))]]) ).
cnf(refute_0_715,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) != double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))
| double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))))),bind(Y,$fot(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))),bind(Z,$fot(multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))))]]) ).
cnf(refute_0_716,plain,
( double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)),multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))) )],[refute_0_686,refute_0_716]) ).
cnf(refute_0_718,plain,
multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = inverse(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154))),
inference(subst,[],[multiply:[bind(A,$fot(double_divide(X_153,X_154))),bind(B,$fot(double_divide(X_156,X_155)))]]) ).
cnf(refute_0_719,plain,
( multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) != inverse(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)))
| double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)) != multiply(multiply(X_154,multiply(X_155,X_156)),X_153)
| multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),inverse(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)))) ),[1,0],$fot(multiply(multiply(X_154,multiply(X_155,X_156)),X_153))]]) ).
cnf(refute_0_720,plain,
( multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) != inverse(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)))
| multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)),multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) )],[refute_0_605,refute_0_719]) ).
cnf(refute_0_721,plain,
multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),inverse(double_divide(double_divide(X_156,X_155),double_divide(X_153,X_154)))) )],[refute_0_718,refute_0_720]) ).
cnf(refute_0_722,plain,
inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) = double_divide(X_153,multiply(X_154,multiply(X_155,X_156))),
inference(subst,[],[refute_0_307:[bind(X_8,$fot(multiply(X_154,multiply(X_155,X_156)))),bind(X_9,$fot(X_153))]]) ).
cnf(refute_0_723,plain,
( multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) != inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153))
| inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)) != double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))
| multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = double_divide(X_153,multiply(X_154,multiply(X_155,X_156))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))) ),[0],$fot(inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)))]]) ).
cnf(refute_0_724,plain,
( multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) != inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153))
| multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = double_divide(X_153,multiply(X_154,multiply(X_155,X_156))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153)),double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) = double_divide(X_153,multiply(X_154,multiply(X_155,X_156))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),inverse(multiply(multiply(X_154,multiply(X_155,X_156)),X_153))) )],[refute_0_721,refute_0_724]) ).
cnf(refute_0_726,plain,
( multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) != double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))
| double_divide(X_153,multiply(X_154,multiply(X_155,X_156))) = multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)))),bind(Y,$fot(double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))))]]) ).
cnf(refute_0_727,plain,
double_divide(X_153,multiply(X_154,multiply(X_155,X_156))) = multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_153,X_154),double_divide(X_156,X_155)),double_divide(X_153,multiply(X_154,multiply(X_155,X_156)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) = multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))),
inference(subst,[],[refute_0_727:[bind(X_153,$fot(multiply(X_161,X_160))),bind(X_154,$fot(double_divide(X_160,X_161))),bind(X_155,$fot(double_divide(multiply(X_137,X_138),X_136))),bind(X_156,$fot(multiply(X_138,X_136)))]]) ).
cnf(refute_0_729,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) != multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))))),bind(Y,$fot(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))))),bind(Z,$fot(multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))))]]) ).
cnf(refute_0_730,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))),multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_138,X_136),double_divide(multiply(X_137,X_138),X_136))),multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))) )],[refute_0_717,refute_0_730]) ).
cnf(refute_0_732,plain,
double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) = double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))),
inference(subst,[],[refute_0_697:[bind(X_128,$fot(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))))),bind(X_92,$fot(multiply(X_161,X_160)))]]) ).
cnf(refute_0_733,plain,
( double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) != double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)))),bind(Y,$fot(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))))),bind(Z,$fot(multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))))]]) ).
cnf(refute_0_734,plain,
( double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)),double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))),multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,inverse(double_divide(X_160,X_161))),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_160)),bind(B,$fot(X_161)),bind(C,$fot(X_162)),bind(X_8,$fot(inverse(double_divide(X_160,X_161)))),bind(X_9,$fot(X_164))]]) ).
cnf(refute_0_737,plain,
multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)) = X_164,
inference(subst,[],[refute_0_495:[bind(C,$fot(double_divide(X_160,X_161))),bind(X_88,$fot(X_164))]]) ).
cnf(refute_0_738,plain,
( multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)) != X_164
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(X_164,inverse(double_divide(X_160,X_161)))
| double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,inverse(double_divide(X_160,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(X_164,inverse(double_divide(X_160,X_161)))) ),[0,1,0],$fot(X_164)]]) ).
cnf(refute_0_739,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(X_164,inverse(double_divide(X_160,X_161)))
| double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,inverse(double_divide(X_160,X_161))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),X_164) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,inverse(double_divide(X_160,X_161))),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(inverse(double_divide(X_160,X_161)),X_164)),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(X_164,inverse(double_divide(X_160,X_161)))) )],[refute_0_736,refute_0_739]) ).
cnf(refute_0_741,plain,
multiply(inverse(X_115),double_divide(B,A)) = double_divide(X_115,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_238:[bind(X_111,$fot(X_115)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_742,plain,
( multiply(inverse(X_115),double_divide(B,A)) != double_divide(X_115,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_115),double_divide(B,A)) = double_divide(X_115,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_115),double_divide(B,A)),double_divide(X_115,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_743,plain,
( multiply(inverse(X_115),double_divide(B,A)) != double_divide(X_115,inverse(double_divide(B,A)))
| multiply(inverse(X_115),double_divide(B,A)) = double_divide(X_115,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_4,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(inverse(X_115),double_divide(B,A)) = double_divide(X_115,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_115),double_divide(B,A)),double_divide(X_115,inverse(double_divide(B,A)))) )],[refute_0_741,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(inverse(X_164),double_divide(X_160,X_161)) = double_divide(X_164,multiply(X_161,X_160)),
inference(subst,[],[refute_0_744:[bind(A,$fot(X_161)),bind(B,$fot(X_160)),bind(X_115,$fot(X_164))]]) ).
cnf(refute_0_746,plain,
double_divide(X_164,inverse(double_divide(X_160,X_161))) = multiply(inverse(X_164),double_divide(X_160,X_161)),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(X_164)),bind(X_4,$fot(double_divide(X_160,X_161)))]]) ).
cnf(refute_0_747,plain,
( multiply(inverse(X_164),double_divide(X_160,X_161)) != double_divide(X_164,multiply(X_161,X_160))
| double_divide(X_164,inverse(double_divide(X_160,X_161))) != multiply(inverse(X_164),double_divide(X_160,X_161))
| double_divide(X_164,inverse(double_divide(X_160,X_161))) = double_divide(X_164,multiply(X_161,X_160)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_164,inverse(double_divide(X_160,X_161))))),bind(Y,$fot(multiply(inverse(X_164),double_divide(X_160,X_161)))),bind(Z,$fot(double_divide(X_164,multiply(X_161,X_160))))]]) ).
cnf(refute_0_748,plain,
( multiply(inverse(X_164),double_divide(X_160,X_161)) != double_divide(X_164,multiply(X_161,X_160))
| double_divide(X_164,inverse(double_divide(X_160,X_161))) = double_divide(X_164,multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(double_divide(X_164,inverse(double_divide(X_160,X_161))),multiply(inverse(X_164),double_divide(X_160,X_161))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
double_divide(X_164,inverse(double_divide(X_160,X_161))) = double_divide(X_164,multiply(X_161,X_160)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_164),double_divide(X_160,X_161)),double_divide(X_164,multiply(X_161,X_160))) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
( double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(X_164,inverse(double_divide(X_160,X_161)))
| double_divide(X_164,inverse(double_divide(X_160,X_161))) != double_divide(X_164,multiply(X_161,X_160))
| double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,multiply(X_161,X_160)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))),double_divide(X_164,multiply(X_161,X_160))) ),[0],$fot(double_divide(X_164,inverse(double_divide(X_160,X_161))))]]) ).
cnf(refute_0_751,plain,
( double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(X_164,inverse(double_divide(X_160,X_161)))
| double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(double_divide(X_164,inverse(double_divide(X_160,X_161))),double_divide(X_164,multiply(X_161,X_160))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(X_164,multiply(X_161,X_160)),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(X_164,double_divide(X_162,double_divide(X_160,X_161)))),double_divide(X_164,inverse(double_divide(X_160,X_161)))) )],[refute_0_740,refute_0_751]) ).
cnf(refute_0_753,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)),
inference(subst,[],[refute_0_752:[bind(X_164,$fot(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136)))))]]) ).
cnf(refute_0_754,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))))),bind(Y,$fot(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)))),bind(Z,$fot(multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))))]]) ).
cnf(refute_0_755,plain,
( double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) ),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),multiply(X_161,X_160)),multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))) )],[refute_0_735,refute_0_755]) ).
cnf(refute_0_757,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != X_137
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))
| multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) = X_137 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),X_137) ),[0],$fot(multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))))]]) ).
cnf(refute_0_758,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))) != X_137
| multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) = X_137 ),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138)))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(double_divide(X_136,X_138),multiply(X_136,multiply(X_137,X_138))) = X_137,
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(multiply(X_137,X_138),X_136),multiply(X_138,X_136))),double_divide(X_162,double_divide(X_160,X_161)))),X_137) )],[refute_0_632,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(double_divide(double_divide(X_138,X_170),X_138),multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138))) = multiply(X_169,X_170),
inference(subst,[],[refute_0_759:[bind(X_136,$fot(double_divide(X_138,X_170))),bind(X_137,$fot(multiply(X_169,X_170)))]]) ).
cnf(refute_0_761,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_160)),bind(B,$fot(X_161)),bind(C,$fot(X_162)),bind(X_8,$fot(double_divide(X_133,multiply(X_134,X_54)))),bind(X_9,$fot(multiply(X_54,X_133)))]]) ).
cnf(refute_0_762,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))
| double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) != X_134
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = X_134 ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),X_134) ),[0],$fot(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))]]) ).
cnf(refute_0_763,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = X_134 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))),X_134) )],[refute_0_476,refute_0_762]) ).
cnf(refute_0_764,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = X_134,
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) )],[refute_0_761,refute_0_763]) ).
cnf(refute_0_765,plain,
double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)),
inference(subst,[],[refute_0_685:[bind(X_160,$fot(X_133)),bind(X_161,$fot(X_54)),bind(X_163,$fot(multiply(X_134,X_54))),bind(X_164,$fot(X_133))]]) ).
cnf(refute_0_766,plain,
multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) = double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))),
inference(subst,[],[refute_0_713:[bind(X_134,$fot(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))),bind(X_145,$fot(X_161)),bind(X_146,$fot(X_160))]]) ).
cnf(refute_0_767,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) != double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))
| double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))))),bind(Y,$fot(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))),bind(Z,$fot(multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))))]]) ).
cnf(refute_0_768,plain,
( double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))),multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) = multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))),
inference(subst,[],[refute_0_727:[bind(X_153,$fot(multiply(X_161,X_160))),bind(X_154,$fot(double_divide(X_160,X_161))),bind(X_155,$fot(double_divide(X_133,multiply(X_134,X_54)))),bind(X_156,$fot(multiply(X_54,X_133)))]]) ).
cnf(refute_0_771,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) != multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))))),bind(Y,$fot(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))))),bind(Z,$fot(multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))))]]) ).
cnf(refute_0_772,plain,
( multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))),multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54))))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_161,X_160),double_divide(X_160,X_161)),double_divide(multiply(X_54,X_133),double_divide(X_133,multiply(X_134,X_54)))),multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))) )],[refute_0_769,refute_0_772]) ).
cnf(refute_0_774,plain,
double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) = double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))),
inference(subst,[],[refute_0_697:[bind(X_128,$fot(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))))),bind(X_92,$fot(multiply(X_161,X_160)))]]) ).
cnf(refute_0_775,plain,
( double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) != double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)))),bind(Y,$fot(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))))),bind(Z,$fot(multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))))]]) ).
cnf(refute_0_776,plain,
( double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)),double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))))) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_161,X_160),multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))),multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)),
inference(subst,[],[refute_0_752:[bind(X_164,$fot(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133)))))]]) ).
cnf(refute_0_779,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160))
| double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))))),bind(Y,$fot(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)))),bind(Z,$fot(multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))))]]) ).
cnf(refute_0_780,plain,
( double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) ),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) = multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),multiply(X_161,X_160)),multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != X_134
| double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))
| multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) = X_134 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),X_134) ),[0],$fot(multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)))]]) ).
cnf(refute_0_783,plain,
( double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))) != X_134
| multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) = X_134 ),
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(double_divide(X_133,X_54),multiply(multiply(X_134,X_54),X_133)) = X_134,
inference(resolve,[$cnf( $equal(double_divide(X_162,multiply(multiply(double_divide(X_160,X_161),multiply(double_divide(X_133,multiply(X_134,X_54)),multiply(X_54,X_133))),double_divide(X_162,double_divide(X_160,X_161)))),X_134) )],[refute_0_764,refute_0_783]) ).
cnf(refute_0_785,plain,
multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138)) = X_169,
inference(subst,[],[refute_0_784:[bind(X_133,$fot(X_138)),bind(X_134,$fot(X_169)),bind(X_54,$fot(X_170))]]) ).
cnf(refute_0_786,plain,
( multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138)) != X_169
| multiply(double_divide(double_divide(X_138,X_170),X_138),multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138))) != multiply(X_169,X_170)
| multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_169,X_170) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138))),multiply(X_169,X_170)) ),[0,1],$fot(X_169)]]) ).
cnf(refute_0_787,plain,
( multiply(double_divide(double_divide(X_138,X_170),X_138),multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138))) != multiply(X_169,X_170)
| multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_169,X_170) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138)),X_169) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_169,X_170),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),multiply(double_divide(X_138,X_170),multiply(multiply(X_169,X_170),X_138))),multiply(X_169,X_170)) )],[refute_0_760,refute_0_787]) ).
cnf(refute_0_789,plain,
multiply(inverse(double_divide(X_4,X_126)),multiply(X_126,double_divide(X_4,X_126))) = X_126,
inference(subst,[],[refute_0_510:[bind(X_123,$fot(double_divide(X_4,X_126))),bind(X_54,$fot(X_126))]]) ).
cnf(refute_0_790,plain,
multiply(X_126,double_divide(X_4,X_126)) = inverse(X_4),
inference(subst,[],[refute_0_230:[bind(X_88,$fot(X_126))]]) ).
cnf(refute_0_791,plain,
( multiply(X_126,double_divide(X_4,X_126)) != inverse(X_4)
| multiply(inverse(double_divide(X_4,X_126)),multiply(X_126,double_divide(X_4,X_126))) != X_126
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = X_126 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),multiply(X_126,double_divide(X_4,X_126))),X_126) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_792,plain,
( multiply(inverse(double_divide(X_4,X_126)),multiply(X_126,double_divide(X_4,X_126))) != X_126
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = X_126 ),
inference(resolve,[$cnf( $equal(multiply(X_126,double_divide(X_4,X_126)),inverse(X_4)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = X_126,
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),multiply(X_126,double_divide(X_4,X_126))),X_126) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
multiply(inverse(X_4),inverse(double_divide(X_4,X_126))) = double_divide(X_4,double_divide(X_4,X_126)),
inference(subst,[],[refute_0_242:[bind(X_115,$fot(X_4)),bind(X_54,$fot(double_divide(X_4,X_126)))]]) ).
cnf(refute_0_795,plain,
double_divide(X_92,multiply(double_divide(inverse(X_92),X_121),inverse(X_92))) = inverse(double_divide(inverse(X_92),X_121)),
inference(subst,[],[refute_0_195:[bind(X_54,$fot(double_divide(inverse(X_92),X_121)))]]) ).
cnf(refute_0_796,plain,
double_divide(inverse(X_54),multiply(inverse(X_85),double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))) = X_85,
inference(subst,[],[refute_0_162:[bind(X_81,$fot(X_85)),bind(X_82,$fot(inverse(X_54))),bind(X_83,$fot(inverse(X_54)))]]) ).
cnf(refute_0_797,plain,
X_54 = double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))),
inference(subst,[],[refute_0_116:[bind(X_53,$fot(inverse(inverse(X_54))))]]) ).
cnf(refute_0_798,plain,
( X_54 != double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))
| double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))) = X_54 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_54)),bind(Y,$fot(double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))))]]) ).
cnf(refute_0_799,plain,
double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))) = X_54,
inference(resolve,[$cnf( $equal(X_54,double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
( double_divide(inverse(X_54),multiply(inverse(X_85),double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))) != X_85
| double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))) != X_54
| double_divide(inverse(X_54),multiply(inverse(X_85),X_54)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(X_85),double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))),X_85) ),[0,1,1],$fot(X_54)]]) ).
cnf(refute_0_801,plain,
( double_divide(inverse(X_54),multiply(inverse(X_85),double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))) != X_85
| double_divide(inverse(X_54),multiply(inverse(X_85),X_54)) = X_85 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))),X_54) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
double_divide(inverse(X_54),multiply(inverse(X_85),X_54)) = X_85,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),multiply(inverse(X_85),double_divide(inverse(X_54),multiply(inverse(inverse(inverse(X_54))),inverse(inverse(X_54)))))),X_85) )],[refute_0_796,refute_0_801]) ).
cnf(refute_0_803,plain,
double_divide(inverse(X_89),multiply(inverse(inverse(X_54)),X_89)) = inverse(X_54),
inference(subst,[],[refute_0_802:[bind(X_54,$fot(X_89)),bind(X_85,$fot(inverse(X_54)))]]) ).
cnf(refute_0_804,plain,
( double_divide(inverse(X_89),multiply(inverse(inverse(X_54)),X_89)) != inverse(X_54)
| inverse(inverse(X_54)) != X_54
| double_divide(inverse(X_89),multiply(X_54,X_89)) = inverse(X_54) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_89),multiply(inverse(inverse(X_54)),X_89)),inverse(X_54)) ),[0,1,0],$fot(X_54)]]) ).
cnf(refute_0_805,plain,
( double_divide(inverse(X_89),multiply(inverse(inverse(X_54)),X_89)) != inverse(X_54)
| double_divide(inverse(X_89),multiply(X_54,X_89)) = inverse(X_54) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_804]) ).
cnf(refute_0_806,plain,
double_divide(inverse(X_89),multiply(X_54,X_89)) = inverse(X_54),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_89),multiply(inverse(inverse(X_54)),X_89)),inverse(X_54)) )],[refute_0_803,refute_0_805]) ).
cnf(refute_0_807,plain,
inverse(multiply(X_54,X_89)) = double_divide(X_89,X_54),
inference(subst,[],[refute_0_307:[bind(X_8,$fot(X_54)),bind(X_9,$fot(X_89))]]) ).
cnf(refute_0_808,plain,
multiply(inverse(multiply(X_54,X_89)),X_89) = multiply(inverse(multiply(X_54,X_89)),X_89),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_54,X_89)),X_89))]]) ).
cnf(refute_0_809,plain,
( multiply(inverse(multiply(X_54,X_89)),X_89) != multiply(inverse(multiply(X_54,X_89)),X_89)
| inverse(multiply(X_54,X_89)) != double_divide(X_89,X_54)
| multiply(inverse(multiply(X_54,X_89)),X_89) = multiply(double_divide(X_89,X_54),X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_89)),X_89),multiply(inverse(multiply(X_54,X_89)),X_89)) ),[1,0],$fot(double_divide(X_89,X_54))]]) ).
cnf(refute_0_810,plain,
( inverse(multiply(X_54,X_89)) != double_divide(X_89,X_54)
| multiply(inverse(multiply(X_54,X_89)),X_89) = multiply(double_divide(X_89,X_54),X_89) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_89)),X_89),multiply(inverse(multiply(X_54,X_89)),X_89)) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(inverse(multiply(X_54,X_89)),X_89) = multiply(double_divide(X_89,X_54),X_89),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,X_89)),double_divide(X_89,X_54)) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
double_divide(inverse(X_89),multiply(X_54,X_89)) = multiply(inverse(multiply(X_54,X_89)),X_89),
inference(subst,[],[refute_0_586:[bind(X_4,$fot(X_89)),bind(X_87,$fot(multiply(X_54,X_89)))]]) ).
cnf(refute_0_813,plain,
( multiply(inverse(multiply(X_54,X_89)),X_89) != multiply(double_divide(X_89,X_54),X_89)
| double_divide(inverse(X_89),multiply(X_54,X_89)) != multiply(inverse(multiply(X_54,X_89)),X_89)
| double_divide(inverse(X_89),multiply(X_54,X_89)) = multiply(double_divide(X_89,X_54),X_89) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_89),multiply(X_54,X_89)))),bind(Y,$fot(multiply(inverse(multiply(X_54,X_89)),X_89))),bind(Z,$fot(multiply(double_divide(X_89,X_54),X_89)))]]) ).
cnf(refute_0_814,plain,
( multiply(inverse(multiply(X_54,X_89)),X_89) != multiply(double_divide(X_89,X_54),X_89)
| double_divide(inverse(X_89),multiply(X_54,X_89)) = multiply(double_divide(X_89,X_54),X_89) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_89),multiply(X_54,X_89)),multiply(inverse(multiply(X_54,X_89)),X_89)) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
double_divide(inverse(X_89),multiply(X_54,X_89)) = multiply(double_divide(X_89,X_54),X_89),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_89)),X_89),multiply(double_divide(X_89,X_54),X_89)) )],[refute_0_811,refute_0_814]) ).
cnf(refute_0_816,plain,
( double_divide(inverse(X_89),multiply(X_54,X_89)) != multiply(double_divide(X_89,X_54),X_89)
| double_divide(inverse(X_89),multiply(X_54,X_89)) != inverse(X_54)
| multiply(double_divide(X_89,X_54),X_89) = inverse(X_54) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_89),multiply(X_54,X_89)),inverse(X_54)) ),[0],$fot(multiply(double_divide(X_89,X_54),X_89))]]) ).
cnf(refute_0_817,plain,
( double_divide(inverse(X_89),multiply(X_54,X_89)) != inverse(X_54)
| multiply(double_divide(X_89,X_54),X_89) = inverse(X_54) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_89),multiply(X_54,X_89)),multiply(double_divide(X_89,X_54),X_89)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
multiply(double_divide(X_89,X_54),X_89) = inverse(X_54),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_89),multiply(X_54,X_89)),inverse(X_54)) )],[refute_0_806,refute_0_817]) ).
cnf(refute_0_819,plain,
multiply(double_divide(inverse(X_92),X_121),inverse(X_92)) = inverse(X_121),
inference(subst,[],[refute_0_818:[bind(X_54,$fot(X_121)),bind(X_89,$fot(inverse(X_92)))]]) ).
cnf(refute_0_820,plain,
( multiply(double_divide(inverse(X_92),X_121),inverse(X_92)) != inverse(X_121)
| double_divide(X_92,multiply(double_divide(inverse(X_92),X_121),inverse(X_92))) != inverse(double_divide(inverse(X_92),X_121))
| double_divide(X_92,inverse(X_121)) = inverse(double_divide(inverse(X_92),X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_92,multiply(double_divide(inverse(X_92),X_121),inverse(X_92))),inverse(double_divide(inverse(X_92),X_121))) ),[0,1],$fot(inverse(X_121))]]) ).
cnf(refute_0_821,plain,
( double_divide(X_92,multiply(double_divide(inverse(X_92),X_121),inverse(X_92))) != inverse(double_divide(inverse(X_92),X_121))
| double_divide(X_92,inverse(X_121)) = inverse(double_divide(inverse(X_92),X_121)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_92),X_121),inverse(X_92)),inverse(X_121)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
double_divide(X_92,inverse(X_121)) = inverse(double_divide(inverse(X_92),X_121)),
inference(resolve,[$cnf( $equal(double_divide(X_92,multiply(double_divide(inverse(X_92),X_121),inverse(X_92))),inverse(double_divide(inverse(X_92),X_121))) )],[refute_0_795,refute_0_821]) ).
cnf(refute_0_823,plain,
double_divide(X_92,inverse(X_121)) = multiply(inverse(X_92),X_121),
inference(subst,[],[refute_0_245:[bind(X_111,$fot(X_92)),bind(X_4,$fot(X_121))]]) ).
cnf(refute_0_824,plain,
( double_divide(X_92,inverse(X_121)) != multiply(inverse(X_92),X_121)
| double_divide(X_92,inverse(X_121)) != inverse(double_divide(inverse(X_92),X_121))
| multiply(inverse(X_92),X_121) = inverse(double_divide(inverse(X_92),X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_92,inverse(X_121)),inverse(double_divide(inverse(X_92),X_121))) ),[0],$fot(multiply(inverse(X_92),X_121))]]) ).
cnf(refute_0_825,plain,
( double_divide(X_92,inverse(X_121)) != inverse(double_divide(inverse(X_92),X_121))
| multiply(inverse(X_92),X_121) = inverse(double_divide(inverse(X_92),X_121)) ),
inference(resolve,[$cnf( $equal(double_divide(X_92,inverse(X_121)),multiply(inverse(X_92),X_121)) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
inverse(double_divide(inverse(X_92),X_121)) = multiply(X_121,inverse(X_92)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_121)),bind(B,$fot(inverse(X_92)))]]) ).
cnf(refute_0_827,plain,
( multiply(inverse(X_92),X_121) != inverse(double_divide(inverse(X_92),X_121))
| inverse(double_divide(inverse(X_92),X_121)) != multiply(X_121,inverse(X_92))
| multiply(inverse(X_92),X_121) = multiply(X_121,inverse(X_92)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_92),X_121),multiply(X_121,inverse(X_92))) ),[0],$fot(inverse(double_divide(inverse(X_92),X_121)))]]) ).
cnf(refute_0_828,plain,
( multiply(inverse(X_92),X_121) != inverse(double_divide(inverse(X_92),X_121))
| multiply(inverse(X_92),X_121) = multiply(X_121,inverse(X_92)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_92),X_121)),multiply(X_121,inverse(X_92))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
( double_divide(X_92,inverse(X_121)) != inverse(double_divide(inverse(X_92),X_121))
| multiply(inverse(X_92),X_121) = multiply(X_121,inverse(X_92)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_92),X_121),inverse(double_divide(inverse(X_92),X_121))) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(inverse(X_92),X_121) = multiply(X_121,inverse(X_92)),
inference(resolve,[$cnf( $equal(double_divide(X_92,inverse(X_121)),inverse(double_divide(inverse(X_92),X_121))) )],[refute_0_822,refute_0_829]) ).
cnf(refute_0_831,plain,
( multiply(inverse(X_92),X_121) != multiply(X_121,inverse(X_92))
| multiply(X_121,inverse(X_92)) = multiply(inverse(X_92),X_121) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_92),X_121))),bind(Y,$fot(multiply(X_121,inverse(X_92))))]]) ).
cnf(refute_0_832,plain,
multiply(X_121,inverse(X_92)) = multiply(inverse(X_92),X_121),
inference(resolve,[$cnf( $equal(multiply(inverse(X_92),X_121),multiply(X_121,inverse(X_92))) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = multiply(inverse(X_4),inverse(double_divide(X_4,X_126))),
inference(subst,[],[refute_0_832:[bind(X_121,$fot(inverse(double_divide(X_4,X_126)))),bind(X_92,$fot(X_4))]]) ).
cnf(refute_0_834,plain,
( multiply(inverse(X_4),inverse(double_divide(X_4,X_126))) != double_divide(X_4,double_divide(X_4,X_126))
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) != multiply(inverse(X_4),inverse(double_divide(X_4,X_126)))
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = double_divide(X_4,double_divide(X_4,X_126)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)))),bind(Y,$fot(multiply(inverse(X_4),inverse(double_divide(X_4,X_126))))),bind(Z,$fot(double_divide(X_4,double_divide(X_4,X_126))))]]) ).
cnf(refute_0_835,plain,
( multiply(inverse(X_4),inverse(double_divide(X_4,X_126))) != double_divide(X_4,double_divide(X_4,X_126))
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = double_divide(X_4,double_divide(X_4,X_126)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)),multiply(inverse(X_4),inverse(double_divide(X_4,X_126)))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) = double_divide(X_4,double_divide(X_4,X_126)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),inverse(double_divide(X_4,X_126))),double_divide(X_4,double_divide(X_4,X_126))) )],[refute_0_794,refute_0_835]) ).
cnf(refute_0_837,plain,
( multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) != X_126
| multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) != double_divide(X_4,double_divide(X_4,X_126))
| double_divide(X_4,double_divide(X_4,X_126)) = X_126 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)),X_126) ),[0],$fot(double_divide(X_4,double_divide(X_4,X_126)))]]) ).
cnf(refute_0_838,plain,
( multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)) != X_126
| double_divide(X_4,double_divide(X_4,X_126)) = X_126 ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)),double_divide(X_4,double_divide(X_4,X_126))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
double_divide(X_4,double_divide(X_4,X_126)) = X_126,
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_4,X_126)),inverse(X_4)),X_126) )],[refute_0_793,refute_0_838]) ).
cnf(refute_0_840,plain,
double_divide(X_138,double_divide(X_138,X_170)) = X_170,
inference(subst,[],[refute_0_839:[bind(X_126,$fot(X_170)),bind(X_4,$fot(X_138))]]) ).
cnf(refute_0_841,plain,
double_divide(double_divide(X_138,X_170),X_138) = double_divide(X_138,double_divide(X_138,X_170)),
inference(subst,[],[refute_0_697:[bind(X_128,$fot(double_divide(X_138,X_170))),bind(X_92,$fot(X_138))]]) ).
cnf(refute_0_842,plain,
( double_divide(X_138,double_divide(X_138,X_170)) != X_170
| double_divide(double_divide(X_138,X_170),X_138) != double_divide(X_138,double_divide(X_138,X_170))
| double_divide(double_divide(X_138,X_170),X_138) = X_170 ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(double_divide(X_138,X_170),X_138))),bind(Y,$fot(double_divide(X_138,double_divide(X_138,X_170)))),bind(Z,$fot(X_170))]]) ).
cnf(refute_0_843,plain,
( double_divide(X_138,double_divide(X_138,X_170)) != X_170
| double_divide(double_divide(X_138,X_170),X_138) = X_170 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_138,X_170),X_138),double_divide(X_138,double_divide(X_138,X_170))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
double_divide(double_divide(X_138,X_170),X_138) = X_170,
inference(resolve,[$cnf( $equal(double_divide(X_138,double_divide(X_138,X_170)),X_170) )],[refute_0_840,refute_0_843]) ).
cnf(refute_0_845,plain,
multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169))]]) ).
cnf(refute_0_846,plain,
( multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) != multiply(double_divide(double_divide(X_138,X_170),X_138),X_169)
| double_divide(double_divide(X_138,X_170),X_138) != X_170
| multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_170,X_169) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),multiply(double_divide(double_divide(X_138,X_170),X_138),X_169)) ),[1,0],$fot(X_170)]]) ).
cnf(refute_0_847,plain,
( double_divide(double_divide(X_138,X_170),X_138) != X_170
| multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_170,X_169) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),multiply(double_divide(double_divide(X_138,X_170),X_138),X_169)) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) = multiply(X_170,X_169),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_138,X_170),X_138),X_170) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
( multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) != multiply(X_169,X_170)
| multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) != multiply(X_170,X_169)
| multiply(X_170,X_169) = multiply(X_169,X_170) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),multiply(X_169,X_170)) ),[0],$fot(multiply(X_170,X_169))]]) ).
cnf(refute_0_850,plain,
( multiply(double_divide(double_divide(X_138,X_170),X_138),X_169) != multiply(X_169,X_170)
| multiply(X_170,X_169) = multiply(X_169,X_170) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),multiply(X_170,X_169)) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(X_170,X_169) = multiply(X_169,X_170),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_138,X_170),X_138),X_169),multiply(X_169,X_170)) )],[refute_0_788,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(multiply(X_154,inverse(X_137)),X_153) = multiply(X_153,multiply(X_154,inverse(X_137))),
inference(subst,[],[refute_0_851:[bind(X_169,$fot(X_153)),bind(X_170,$fot(multiply(X_154,inverse(X_137))))]]) ).
cnf(refute_0_853,plain,
( multiply(multiply(X_154,inverse(X_137)),X_153) != multiply(X_153,multiply(X_154,inverse(X_137)))
| double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,inverse(X_137)),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(X_153,multiply(X_154,inverse(X_137))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,inverse(X_137)),X_153)) ),[1],$fot(multiply(X_153,multiply(X_154,inverse(X_137))))]]) ).
cnf(refute_0_854,plain,
( double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,inverse(X_137)),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(X_153,multiply(X_154,inverse(X_137))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_154,inverse(X_137)),X_153),multiply(X_153,multiply(X_154,inverse(X_137)))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
double_divide(X_137,double_divide(X_153,X_154)) = multiply(X_153,multiply(X_154,inverse(X_137))),
inference(resolve,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,inverse(X_137)),X_153)) )],[refute_0_559,refute_0_854]) ).
cnf(refute_0_856,plain,
double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(X_177,multiply(X_178,inverse(inverse(X_54)))),
inference(subst,[],[refute_0_855:[bind(X_137,$fot(inverse(X_54))),bind(X_153,$fot(X_177)),bind(X_154,$fot(X_178))]]) ).
cnf(refute_0_857,plain,
( double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,inverse(inverse(X_54))))
| inverse(inverse(X_54)) != X_54
| double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(X_177,multiply(X_178,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,inverse(inverse(X_54))))) ),[1,1,1],$fot(X_54)]]) ).
cnf(refute_0_858,plain,
( double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,inverse(inverse(X_54))))
| double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(X_177,multiply(X_178,X_54)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_192,refute_0_857]) ).
cnf(refute_0_859,plain,
double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(X_177,multiply(X_178,X_54)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,inverse(inverse(X_54))))) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
inverse(double_divide(X_177,X_178)) = multiply(X_178,X_177),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_178)),bind(B,$fot(X_177))]]) ).
cnf(refute_0_861,plain,
multiply(inverse(double_divide(X_177,X_178)),X_54) = multiply(inverse(double_divide(X_177,X_178)),X_54),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_177,X_178)),X_54))]]) ).
cnf(refute_0_862,plain,
( multiply(inverse(double_divide(X_177,X_178)),X_54) != multiply(inverse(double_divide(X_177,X_178)),X_54)
| inverse(double_divide(X_177,X_178)) != multiply(X_178,X_177)
| multiply(inverse(double_divide(X_177,X_178)),X_54) = multiply(multiply(X_178,X_177),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_177,X_178)),X_54),multiply(inverse(double_divide(X_177,X_178)),X_54)) ),[1,0],$fot(multiply(X_178,X_177))]]) ).
cnf(refute_0_863,plain,
( inverse(double_divide(X_177,X_178)) != multiply(X_178,X_177)
| multiply(inverse(double_divide(X_177,X_178)),X_54) = multiply(multiply(X_178,X_177),X_54) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_177,X_178)),X_54),multiply(inverse(double_divide(X_177,X_178)),X_54)) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(inverse(double_divide(X_177,X_178)),X_54) = multiply(multiply(X_178,X_177),X_54),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_177,X_178)),multiply(X_178,X_177)) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(inverse(double_divide(X_177,X_178)),X_54),
inference(subst,[],[refute_0_586:[bind(X_4,$fot(X_54)),bind(X_87,$fot(double_divide(X_177,X_178)))]]) ).
cnf(refute_0_866,plain,
( multiply(inverse(double_divide(X_177,X_178)),X_54) != multiply(multiply(X_178,X_177),X_54)
| double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(inverse(double_divide(X_177,X_178)),X_54)
| double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(multiply(X_178,X_177),X_54) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_54),double_divide(X_177,X_178)))),bind(Y,$fot(multiply(inverse(double_divide(X_177,X_178)),X_54))),bind(Z,$fot(multiply(multiply(X_178,X_177),X_54)))]]) ).
cnf(refute_0_867,plain,
( multiply(inverse(double_divide(X_177,X_178)),X_54) != multiply(multiply(X_178,X_177),X_54)
| double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(multiply(X_178,X_177),X_54) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(inverse(double_divide(X_177,X_178)),X_54)) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
double_divide(inverse(X_54),double_divide(X_177,X_178)) = multiply(multiply(X_178,X_177),X_54),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_177,X_178)),X_54),multiply(multiply(X_178,X_177),X_54)) )],[refute_0_864,refute_0_867]) ).
cnf(refute_0_869,plain,
( double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,X_54))
| double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(multiply(X_178,X_177),X_54)
| multiply(multiply(X_178,X_177),X_54) = multiply(X_177,multiply(X_178,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,X_54))) ),[0],$fot(multiply(multiply(X_178,X_177),X_54))]]) ).
cnf(refute_0_870,plain,
( double_divide(inverse(X_54),double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,X_54))
| multiply(multiply(X_178,X_177),X_54) = multiply(X_177,multiply(X_178,X_54)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(multiply(X_178,X_177),X_54)) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
multiply(multiply(X_178,X_177),X_54) = multiply(X_177,multiply(X_178,X_54)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_54),double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,X_54))) )],[refute_0_859,refute_0_870]) ).
cnf(refute_0_872,plain,
multiply(multiply(X_159,X_158),X_54) = multiply(X_158,multiply(X_159,X_54)),
inference(subst,[],[refute_0_871:[bind(X_177,$fot(X_158)),bind(X_178,$fot(X_159))]]) ).
cnf(refute_0_873,plain,
( multiply(multiply(X_159,X_158),X_54) != multiply(X_158,multiply(X_159,X_54))
| multiply(multiply(X_159,X_158),X_54) != multiply(multiply(X_159,X_54),X_158)
| multiply(X_158,multiply(X_159,X_54)) = multiply(multiply(X_159,X_54),X_158) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_159,X_158),X_54),multiply(multiply(X_159,X_54),X_158)) ),[0],$fot(multiply(X_158,multiply(X_159,X_54)))]]) ).
cnf(refute_0_874,plain,
( multiply(multiply(X_159,X_158),X_54) != multiply(multiply(X_159,X_54),X_158)
| multiply(X_158,multiply(X_159,X_54)) = multiply(multiply(X_159,X_54),X_158) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,X_158),X_54),multiply(X_158,multiply(X_159,X_54))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
multiply(multiply(X_159,X_54),X_158) = multiply(X_54,multiply(X_159,X_158)),
inference(subst,[],[refute_0_871:[bind(X_177,$fot(X_54)),bind(X_178,$fot(X_159)),bind(X_54,$fot(X_158))]]) ).
cnf(refute_0_876,plain,
( multiply(X_158,multiply(X_159,X_54)) != multiply(multiply(X_159,X_54),X_158)
| multiply(multiply(X_159,X_54),X_158) != multiply(X_54,multiply(X_159,X_158))
| multiply(X_158,multiply(X_159,X_54)) = multiply(X_54,multiply(X_159,X_158)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_158,multiply(X_159,X_54)),multiply(X_54,multiply(X_159,X_158))) ),[0],$fot(multiply(multiply(X_159,X_54),X_158))]]) ).
cnf(refute_0_877,plain,
( multiply(X_158,multiply(X_159,X_54)) != multiply(multiply(X_159,X_54),X_158)
| multiply(X_158,multiply(X_159,X_54)) = multiply(X_54,multiply(X_159,X_158)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,X_54),X_158),multiply(X_54,multiply(X_159,X_158))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
( multiply(multiply(X_159,X_158),X_54) != multiply(multiply(X_159,X_54),X_158)
| multiply(X_158,multiply(X_159,X_54)) = multiply(X_54,multiply(X_159,X_158)) ),
inference(resolve,[$cnf( $equal(multiply(X_158,multiply(X_159,X_54)),multiply(multiply(X_159,X_54),X_158)) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
multiply(X_158,multiply(X_159,X_54)) = multiply(X_54,multiply(X_159,X_158)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_159,X_158),X_54),multiply(multiply(X_159,X_54),X_158)) )],[refute_0_593,refute_0_878]) ).
cnf(refute_0_880,plain,
( multiply(X_158,multiply(X_159,X_54)) != multiply(X_54,multiply(X_159,X_158))
| multiply(X_54,multiply(X_159,X_158)) = multiply(X_158,multiply(X_159,X_54)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_158,multiply(X_159,X_54)))),bind(Y,$fot(multiply(X_54,multiply(X_159,X_158))))]]) ).
cnf(refute_0_881,plain,
multiply(X_54,multiply(X_159,X_158)) = multiply(X_158,multiply(X_159,X_54)),
inference(resolve,[$cnf( $equal(multiply(X_158,multiply(X_159,X_54)),multiply(X_54,multiply(X_159,X_158))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_881:[bind(X_158,$fot(b3)),bind(X_159,$fot(a3)),bind(X_54,$fot(c3))]]) ).
cnf(refute_0_883,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(a3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_884,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_884,refute_0_328]) ).
cnf(refute_0_886,plain,
multiply(inverse(double_divide(X_197,X_198)),X_4) = double_divide(double_divide(X_197,X_198),inverse(X_4)),
inference(subst,[],[refute_0_238:[bind(X_111,$fot(double_divide(X_197,X_198)))]]) ).
cnf(refute_0_887,plain,
double_divide(double_divide(X_194,X_195),X_128) = double_divide(X_128,double_divide(X_194,X_195)),
inference(subst,[],[refute_0_314:[bind(X_92,$fot(double_divide(X_194,X_195)))]]) ).
cnf(refute_0_888,plain,
multiply(X_154,inverse(X_137)) = multiply(inverse(X_137),X_154),
inference(subst,[],[refute_0_851:[bind(X_169,$fot(inverse(X_137))),bind(X_170,$fot(X_154))]]) ).
cnf(refute_0_889,plain,
( multiply(X_154,inverse(X_137)) != multiply(inverse(X_137),X_154)
| double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,inverse(X_137)),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(inverse(X_137),X_154),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,inverse(X_137)),X_153)) ),[1,0],$fot(multiply(inverse(X_137),X_154))]]) ).
cnf(refute_0_890,plain,
( double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(X_154,inverse(X_137)),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(inverse(X_137),X_154),X_153) ),
inference(resolve,[$cnf( $equal(multiply(X_154,inverse(X_137)),multiply(inverse(X_137),X_154)) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
double_divide(X_137,double_divide(X_153,X_154)) = multiply(multiply(inverse(X_137),X_154),X_153),
inference(resolve,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(X_154,inverse(X_137)),X_153)) )],[refute_0_559,refute_0_890]) ).
cnf(refute_0_892,plain,
double_divide(X_176,double_divide(X_177,X_178)) = multiply(X_177,multiply(X_178,inverse(X_176))),
inference(subst,[],[refute_0_855:[bind(X_137,$fot(X_176)),bind(X_153,$fot(X_177)),bind(X_154,$fot(X_178))]]) ).
cnf(refute_0_893,plain,
multiply(inverse(X_176),X_178) = multiply(X_178,inverse(X_176)),
inference(subst,[],[refute_0_851:[bind(X_169,$fot(X_178)),bind(X_170,$fot(inverse(X_176)))]]) ).
cnf(refute_0_894,plain,
( multiply(inverse(X_176),X_178) != multiply(X_178,inverse(X_176))
| multiply(X_178,inverse(X_176)) = multiply(inverse(X_176),X_178) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_176),X_178))),bind(Y,$fot(multiply(X_178,inverse(X_176))))]]) ).
cnf(refute_0_895,plain,
multiply(X_178,inverse(X_176)) = multiply(inverse(X_176),X_178),
inference(resolve,[$cnf( $equal(multiply(inverse(X_176),X_178),multiply(X_178,inverse(X_176))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
( multiply(X_178,inverse(X_176)) != multiply(inverse(X_176),X_178)
| double_divide(X_176,double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,inverse(X_176)))
| double_divide(X_176,double_divide(X_177,X_178)) = multiply(X_177,multiply(inverse(X_176),X_178)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_176,double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,inverse(X_176)))) ),[1,1],$fot(multiply(inverse(X_176),X_178))]]) ).
cnf(refute_0_897,plain,
( double_divide(X_176,double_divide(X_177,X_178)) != multiply(X_177,multiply(X_178,inverse(X_176)))
| double_divide(X_176,double_divide(X_177,X_178)) = multiply(X_177,multiply(inverse(X_176),X_178)) ),
inference(resolve,[$cnf( $equal(multiply(X_178,inverse(X_176)),multiply(inverse(X_176),X_178)) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
double_divide(X_176,double_divide(X_177,X_178)) = multiply(X_177,multiply(inverse(X_176),X_178)),
inference(resolve,[$cnf( $equal(double_divide(X_176,double_divide(X_177,X_178)),multiply(X_177,multiply(X_178,inverse(X_176)))) )],[refute_0_892,refute_0_897]) ).
cnf(refute_0_899,plain,
( double_divide(X_176,double_divide(X_177,X_178)) != multiply(X_177,multiply(inverse(X_176),X_178))
| multiply(X_177,multiply(inverse(X_176),X_178)) = double_divide(X_176,double_divide(X_177,X_178)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_176,double_divide(X_177,X_178)))),bind(Y,$fot(multiply(X_177,multiply(inverse(X_176),X_178))))]]) ).
cnf(refute_0_900,plain,
multiply(X_177,multiply(inverse(X_176),X_178)) = double_divide(X_176,double_divide(X_177,X_178)),
inference(resolve,[$cnf( $equal(double_divide(X_176,double_divide(X_177,X_178)),multiply(X_177,multiply(inverse(X_176),X_178))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
multiply(X_154,multiply(inverse(X_137),X_153)) = double_divide(X_137,double_divide(X_154,X_153)),
inference(subst,[],[refute_0_900:[bind(X_176,$fot(X_137)),bind(X_177,$fot(X_154)),bind(X_178,$fot(X_153))]]) ).
cnf(refute_0_902,plain,
multiply(multiply(inverse(X_137),X_154),X_153) = multiply(X_154,multiply(inverse(X_137),X_153)),
inference(subst,[],[refute_0_871:[bind(X_177,$fot(X_154)),bind(X_178,$fot(inverse(X_137))),bind(X_54,$fot(X_153))]]) ).
cnf(refute_0_903,plain,
( multiply(X_154,multiply(inverse(X_137),X_153)) != double_divide(X_137,double_divide(X_154,X_153))
| multiply(multiply(inverse(X_137),X_154),X_153) != multiply(X_154,multiply(inverse(X_137),X_153))
| multiply(multiply(inverse(X_137),X_154),X_153) = double_divide(X_137,double_divide(X_154,X_153)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(multiply(inverse(X_137),X_154),X_153))),bind(Y,$fot(multiply(X_154,multiply(inverse(X_137),X_153)))),bind(Z,$fot(double_divide(X_137,double_divide(X_154,X_153))))]]) ).
cnf(refute_0_904,plain,
( multiply(X_154,multiply(inverse(X_137),X_153)) != double_divide(X_137,double_divide(X_154,X_153))
| multiply(multiply(inverse(X_137),X_154),X_153) = double_divide(X_137,double_divide(X_154,X_153)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_137),X_154),X_153),multiply(X_154,multiply(inverse(X_137),X_153))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
multiply(multiply(inverse(X_137),X_154),X_153) = double_divide(X_137,double_divide(X_154,X_153)),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(inverse(X_137),X_153)),double_divide(X_137,double_divide(X_154,X_153))) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
( multiply(multiply(inverse(X_137),X_154),X_153) != double_divide(X_137,double_divide(X_154,X_153))
| double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(inverse(X_137),X_154),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = double_divide(X_137,double_divide(X_154,X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(inverse(X_137),X_154),X_153)) ),[1],$fot(double_divide(X_137,double_divide(X_154,X_153)))]]) ).
cnf(refute_0_907,plain,
( double_divide(X_137,double_divide(X_153,X_154)) != multiply(multiply(inverse(X_137),X_154),X_153)
| double_divide(X_137,double_divide(X_153,X_154)) = double_divide(X_137,double_divide(X_154,X_153)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_137),X_154),X_153),double_divide(X_137,double_divide(X_154,X_153))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
double_divide(X_137,double_divide(X_153,X_154)) = double_divide(X_137,double_divide(X_154,X_153)),
inference(resolve,[$cnf( $equal(double_divide(X_137,double_divide(X_153,X_154)),multiply(multiply(inverse(X_137),X_154),X_153)) )],[refute_0_891,refute_0_907]) ).
cnf(refute_0_909,plain,
double_divide(X_128,double_divide(X_194,X_195)) = double_divide(X_128,double_divide(X_195,X_194)),
inference(subst,[],[refute_0_908:[bind(X_137,$fot(X_128)),bind(X_153,$fot(X_194)),bind(X_154,$fot(X_195))]]) ).
cnf(refute_0_910,plain,
( double_divide(X_128,double_divide(X_194,X_195)) != double_divide(X_128,double_divide(X_195,X_194))
| double_divide(double_divide(X_194,X_195),X_128) != double_divide(X_128,double_divide(X_194,X_195))
| double_divide(double_divide(X_194,X_195),X_128) = double_divide(X_128,double_divide(X_195,X_194)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_194,X_195),X_128),double_divide(X_128,double_divide(X_194,X_195))) ),[1],$fot(double_divide(X_128,double_divide(X_195,X_194)))]]) ).
cnf(refute_0_911,plain,
( double_divide(double_divide(X_194,X_195),X_128) != double_divide(X_128,double_divide(X_194,X_195))
| double_divide(double_divide(X_194,X_195),X_128) = double_divide(X_128,double_divide(X_195,X_194)) ),
inference(resolve,[$cnf( $equal(double_divide(X_128,double_divide(X_194,X_195)),double_divide(X_128,double_divide(X_195,X_194))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
double_divide(double_divide(X_194,X_195),X_128) = double_divide(X_128,double_divide(X_195,X_194)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_194,X_195),X_128),double_divide(X_128,double_divide(X_194,X_195))) )],[refute_0_887,refute_0_911]) ).
cnf(refute_0_913,plain,
double_divide(double_divide(X_197,X_198),inverse(X_4)) = double_divide(inverse(X_4),double_divide(X_198,X_197)),
inference(subst,[],[refute_0_912:[bind(X_128,$fot(inverse(X_4))),bind(X_194,$fot(X_197)),bind(X_195,$fot(X_198))]]) ).
cnf(refute_0_914,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != double_divide(double_divide(X_197,X_198),inverse(X_4))
| double_divide(double_divide(X_197,X_198),inverse(X_4)) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| multiply(inverse(double_divide(X_197,X_198)),X_4) = double_divide(inverse(X_4),double_divide(X_198,X_197)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),double_divide(inverse(X_4),double_divide(X_198,X_197))) ),[0],$fot(double_divide(double_divide(X_197,X_198),inverse(X_4)))]]) ).
cnf(refute_0_915,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != double_divide(double_divide(X_197,X_198),inverse(X_4))
| multiply(inverse(double_divide(X_197,X_198)),X_4) = double_divide(inverse(X_4),double_divide(X_198,X_197)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_197,X_198),inverse(X_4)),double_divide(inverse(X_4),double_divide(X_198,X_197))) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
multiply(inverse(double_divide(X_197,X_198)),X_4) = double_divide(inverse(X_4),double_divide(X_198,X_197)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),double_divide(double_divide(X_197,X_198),inverse(X_4))) )],[refute_0_886,refute_0_915]) ).
cnf(refute_0_917,plain,
multiply(multiply(X_198,X_197),X_4) = multiply(X_197,multiply(X_198,X_4)),
inference(subst,[],[refute_0_871:[bind(X_177,$fot(X_197)),bind(X_178,$fot(X_198)),bind(X_54,$fot(X_4))]]) ).
cnf(refute_0_918,plain,
inverse(double_divide(X_197,X_198)) = multiply(X_198,X_197),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_198)),bind(B,$fot(X_197))]]) ).
cnf(refute_0_919,plain,
multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(inverse(double_divide(X_197,X_198)),X_4),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_197,X_198)),X_4))]]) ).
cnf(refute_0_920,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != multiply(inverse(double_divide(X_197,X_198)),X_4)
| inverse(double_divide(X_197,X_198)) != multiply(X_198,X_197)
| multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(multiply(X_198,X_197),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),multiply(inverse(double_divide(X_197,X_198)),X_4)) ),[1,0],$fot(multiply(X_198,X_197))]]) ).
cnf(refute_0_921,plain,
( inverse(double_divide(X_197,X_198)) != multiply(X_198,X_197)
| multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(multiply(X_198,X_197),X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),multiply(inverse(double_divide(X_197,X_198)),X_4)) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(multiply(X_198,X_197),X_4),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_197,X_198)),multiply(X_198,X_197)) )],[refute_0_918,refute_0_921]) ).
cnf(refute_0_923,plain,
( multiply(multiply(X_198,X_197),X_4) != multiply(X_197,multiply(X_198,X_4))
| multiply(inverse(double_divide(X_197,X_198)),X_4) != multiply(multiply(X_198,X_197),X_4)
| multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(X_197,multiply(X_198,X_4)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(inverse(double_divide(X_197,X_198)),X_4))),bind(Y,$fot(multiply(multiply(X_198,X_197),X_4))),bind(Z,$fot(multiply(X_197,multiply(X_198,X_4))))]]) ).
cnf(refute_0_924,plain,
( multiply(multiply(X_198,X_197),X_4) != multiply(X_197,multiply(X_198,X_4))
| multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(X_197,multiply(X_198,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),multiply(multiply(X_198,X_197),X_4)) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
multiply(inverse(double_divide(X_197,X_198)),X_4) = multiply(X_197,multiply(X_198,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_197),X_4),multiply(X_197,multiply(X_198,X_4))) )],[refute_0_917,refute_0_924]) ).
cnf(refute_0_926,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != multiply(X_197,multiply(X_198,X_4))
| multiply(inverse(double_divide(X_197,X_198)),X_4) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| multiply(X_197,multiply(X_198,X_4)) = double_divide(inverse(X_4),double_divide(X_198,X_197)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),double_divide(inverse(X_4),double_divide(X_198,X_197))) ),[0],$fot(multiply(X_197,multiply(X_198,X_4)))]]) ).
cnf(refute_0_927,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| multiply(X_197,multiply(X_198,X_4)) = double_divide(inverse(X_4),double_divide(X_198,X_197)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),multiply(X_197,multiply(X_198,X_4))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(multiply(X_197,X_198),X_4) = multiply(X_198,multiply(X_197,X_4)),
inference(subst,[],[refute_0_871:[bind(X_177,$fot(X_198)),bind(X_178,$fot(X_197)),bind(X_54,$fot(X_4))]]) ).
cnf(refute_0_929,plain,
inverse(double_divide(X_198,X_197)) = multiply(X_197,X_198),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_197)),bind(B,$fot(X_198))]]) ).
cnf(refute_0_930,plain,
multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(inverse(double_divide(X_198,X_197)),X_4),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_198,X_197)),X_4))]]) ).
cnf(refute_0_931,plain,
( multiply(inverse(double_divide(X_198,X_197)),X_4) != multiply(inverse(double_divide(X_198,X_197)),X_4)
| inverse(double_divide(X_198,X_197)) != multiply(X_197,X_198)
| multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(multiply(X_197,X_198),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_198,X_197)),X_4),multiply(inverse(double_divide(X_198,X_197)),X_4)) ),[1,0],$fot(multiply(X_197,X_198))]]) ).
cnf(refute_0_932,plain,
( inverse(double_divide(X_198,X_197)) != multiply(X_197,X_198)
| multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(multiply(X_197,X_198),X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_198,X_197)),X_4),multiply(inverse(double_divide(X_198,X_197)),X_4)) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(multiply(X_197,X_198),X_4),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_198,X_197)),multiply(X_197,X_198)) )],[refute_0_929,refute_0_932]) ).
cnf(refute_0_934,plain,
( multiply(multiply(X_197,X_198),X_4) != multiply(X_198,multiply(X_197,X_4))
| multiply(inverse(double_divide(X_198,X_197)),X_4) != multiply(multiply(X_197,X_198),X_4)
| multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(X_198,multiply(X_197,X_4)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(inverse(double_divide(X_198,X_197)),X_4))),bind(Y,$fot(multiply(multiply(X_197,X_198),X_4))),bind(Z,$fot(multiply(X_198,multiply(X_197,X_4))))]]) ).
cnf(refute_0_935,plain,
( multiply(multiply(X_197,X_198),X_4) != multiply(X_198,multiply(X_197,X_4))
| multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(X_198,multiply(X_197,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_198,X_197)),X_4),multiply(multiply(X_197,X_198),X_4)) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
multiply(inverse(double_divide(X_198,X_197)),X_4) = multiply(X_198,multiply(X_197,X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_197,X_198),X_4),multiply(X_198,multiply(X_197,X_4))) )],[refute_0_928,refute_0_935]) ).
cnf(refute_0_937,plain,
double_divide(inverse(X_4),double_divide(X_198,X_197)) = multiply(inverse(double_divide(X_198,X_197)),X_4),
inference(subst,[],[refute_0_586:[bind(X_87,$fot(double_divide(X_198,X_197)))]]) ).
cnf(refute_0_938,plain,
( multiply(inverse(double_divide(X_198,X_197)),X_4) != multiply(X_198,multiply(X_197,X_4))
| double_divide(inverse(X_4),double_divide(X_198,X_197)) != multiply(inverse(double_divide(X_198,X_197)),X_4)
| double_divide(inverse(X_4),double_divide(X_198,X_197)) = multiply(X_198,multiply(X_197,X_4)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(double_divide(inverse(X_4),double_divide(X_198,X_197)))),bind(Y,$fot(multiply(inverse(double_divide(X_198,X_197)),X_4))),bind(Z,$fot(multiply(X_198,multiply(X_197,X_4))))]]) ).
cnf(refute_0_939,plain,
( multiply(inverse(double_divide(X_198,X_197)),X_4) != multiply(X_198,multiply(X_197,X_4))
| double_divide(inverse(X_4),double_divide(X_198,X_197)) = multiply(X_198,multiply(X_197,X_4)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),double_divide(X_198,X_197)),multiply(inverse(double_divide(X_198,X_197)),X_4)) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
double_divide(inverse(X_4),double_divide(X_198,X_197)) = multiply(X_198,multiply(X_197,X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_198,X_197)),X_4),multiply(X_198,multiply(X_197,X_4))) )],[refute_0_936,refute_0_939]) ).
cnf(refute_0_941,plain,
( multiply(X_197,multiply(X_198,X_4)) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| double_divide(inverse(X_4),double_divide(X_198,X_197)) != multiply(X_198,multiply(X_197,X_4))
| multiply(X_197,multiply(X_198,X_4)) = multiply(X_198,multiply(X_197,X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_197,multiply(X_198,X_4)),multiply(X_198,multiply(X_197,X_4))) ),[0],$fot(double_divide(inverse(X_4),double_divide(X_198,X_197)))]]) ).
cnf(refute_0_942,plain,
( multiply(X_197,multiply(X_198,X_4)) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| multiply(X_197,multiply(X_198,X_4)) = multiply(X_198,multiply(X_197,X_4)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),double_divide(X_198,X_197)),multiply(X_198,multiply(X_197,X_4))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( multiply(inverse(double_divide(X_197,X_198)),X_4) != double_divide(inverse(X_4),double_divide(X_198,X_197))
| multiply(X_197,multiply(X_198,X_4)) = multiply(X_198,multiply(X_197,X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_197,multiply(X_198,X_4)),double_divide(inverse(X_4),double_divide(X_198,X_197))) )],[refute_0_927,refute_0_942]) ).
cnf(refute_0_944,plain,
multiply(X_197,multiply(X_198,X_4)) = multiply(X_198,multiply(X_197,X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_197,X_198)),X_4),double_divide(inverse(X_4),double_divide(X_198,X_197))) )],[refute_0_916,refute_0_943]) ).
cnf(refute_0_945,plain,
( multiply(X_197,multiply(X_198,X_4)) != multiply(X_198,multiply(X_197,X_4))
| multiply(X_198,multiply(X_197,X_4)) = multiply(X_197,multiply(X_198,X_4)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_197,multiply(X_198,X_4)))),bind(Y,$fot(multiply(X_198,multiply(X_197,X_4))))]]) ).
cnf(refute_0_946,plain,
multiply(X_198,multiply(X_197,X_4)) = multiply(X_197,multiply(X_198,X_4)),
inference(resolve,[$cnf( $equal(multiply(X_197,multiply(X_198,X_4)),multiply(X_198,multiply(X_197,X_4))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_946:[bind(X_197,$fot(a3)),bind(X_198,$fot(b3)),bind(X_4,$fot(c3))]]) ).
cnf(refute_0_948,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_949,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_949,refute_0_885]) ).
cnf(refute_0_951,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_952,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_951,refute_0_950]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 08:20:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.52/1.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.71
% 1.52/1.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.67/1.84
%------------------------------------------------------------------------------