TSTP Solution File: GRP588-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP588-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:40 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 102
% Number of leaves : 143
% Syntax : Number of clauses : 586 ( 304 unt; 0 nHn; 263 RR)
% Number of literals : 1002 (1001 equ; 418 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1684 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
multiply(inverse(X_13),multiply(inverse(X_12),X_13)) = inverse(double_divide(multiply(inverse(X_12),X_13),inverse(X_13))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_13))),bind(B,$fot(multiply(inverse(X_12),X_13)))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(double_divide(A,B),inverse(C))) = multiply(inverse(C),double_divide(A,B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(C))),bind(B,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_7,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
introduced(tautology,[refl,[$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_8,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) ),[1,1],$fot(multiply(inverse(C),double_divide(A,B)))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(double_divide(A,B),inverse(C))) != multiply(inverse(C),double_divide(A,B))
| multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(C))),multiply(inverse(C),double_divide(A,B))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(inverse(double_divide(double_divide(A,B),inverse(C)))))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))),bind(Y,$fot(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))))),bind(Z,$fot(multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_15,plain,
( multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,inverse(double_divide(double_divide(A,B),inverse(C))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) = multiply(B,multiply(inverse(C),double_divide(A,B))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(double_divide(double_divide(A,B),inverse(C)))),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),
introduced(tautology,[refl,[$fot(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))))]]) ).
cnf(refute_0_18,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))
| inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) ),[1,1],$fot(multiply(B,multiply(inverse(C),double_divide(A,B))))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)) != multiply(B,multiply(inverse(C),double_divide(A,B)))
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B)),multiply(B,multiply(inverse(C),double_divide(A,B)))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) ),[0],$fot(double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))))]]) ).
cnf(refute_0_22,plain,
( double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) != C
| double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(A,multiply(B,multiply(inverse(C),double_divide(A,B)))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))),C) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))))]]) ).
cnf(refute_0_25,plain,
double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) = X_4,
inference(subst,[],[refute_0_23:[bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_26,plain,
( double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))) != X_4
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) ),[0,1,1,1],$fot(X_4)]]) ).
cnf(refute_0_27,plain,
( double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))) != C
| double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3)))),X_4) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),X_4))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))),multiply(inverse(C),double_divide(A,multiply(X_3,multiply(inverse(X_4),double_divide(A,X_3))))))),C) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(multiply(inverse(C),X_4),multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4))) = C,
inference(subst,[],[refute_0_28:[bind(A,$fot(multiply(inverse(C),X_4)))]]) ).
cnf(refute_0_30,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))]]) ).
cnf(refute_0_31,plain,
double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(B)),bind(B,$fot(X_3)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))) != X_4
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_33,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) != inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))
| multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))),X_4) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3))),B),inverse(double_divide(B,multiply(X_3,multiply(inverse(X_4),double_divide(B,X_3)))))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4)) = inverse(X_4),
inference(subst,[],[refute_0_34:[bind(B,$fot(multiply(inverse(C),X_4)))]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4)) != inverse(X_4)
| double_divide(multiply(inverse(C),X_4),multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4))) != C
| double_divide(multiply(inverse(C),X_4),inverse(X_4)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(C),X_4),multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4))),C) ),[0,1],$fot(inverse(X_4))]]) ).
cnf(refute_0_37,plain,
( double_divide(multiply(inverse(C),X_4),multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4))) != C
| double_divide(multiply(inverse(C),X_4),inverse(X_4)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4)),inverse(X_4)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(inverse(C),X_4),inverse(X_4)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(C),X_4),multiply(multiply(X_3,multiply(inverse(X_4),double_divide(multiply(inverse(C),X_4),X_3))),multiply(inverse(C),X_4))),C) )],[refute_0_29,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(multiply(inverse(X_12),X_13),inverse(X_13)) = X_12,
inference(subst,[],[refute_0_38:[bind(C,$fot(X_12)),bind(X_4,$fot(X_13))]]) ).
cnf(refute_0_40,plain,
( multiply(inverse(X_13),multiply(inverse(X_12),X_13)) != inverse(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))
| double_divide(multiply(inverse(X_12),X_13),inverse(X_13)) != X_12
| multiply(inverse(X_13),multiply(inverse(X_12),X_13)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(X_12),X_13)),inverse(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_41,plain,
( multiply(inverse(X_13),multiply(inverse(X_12),X_13)) != inverse(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))
| multiply(inverse(X_13),multiply(inverse(X_12),X_13)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)),X_12) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(inverse(X_13),multiply(inverse(X_12),X_13)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(X_12),X_13)),inverse(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))) )],[refute_0_0,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(inverse(multiply(inverse(X_14),X_12)),multiply(inverse(X_12),multiply(inverse(X_14),X_12))) = inverse(X_12),
inference(subst,[],[refute_0_42:[bind(X_13,$fot(multiply(inverse(X_14),X_12)))]]) ).
cnf(refute_0_44,plain,
multiply(inverse(X_12),multiply(inverse(X_14),X_12)) = inverse(X_14),
inference(subst,[],[refute_0_42:[bind(X_12,$fot(X_14)),bind(X_13,$fot(X_12))]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_12),multiply(inverse(X_14),X_12)) != inverse(X_14)
| multiply(inverse(multiply(inverse(X_14),X_12)),multiply(inverse(X_12),multiply(inverse(X_14),X_12))) != inverse(X_12)
| multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),multiply(inverse(X_12),multiply(inverse(X_14),X_12))),inverse(X_12)) ),[0,1],$fot(inverse(X_14))]]) ).
cnf(refute_0_46,plain,
( multiply(inverse(multiply(inverse(X_14),X_12)),multiply(inverse(X_12),multiply(inverse(X_14),X_12))) != inverse(X_12)
| multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),multiply(inverse(X_14),X_12)),inverse(X_14)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),multiply(inverse(X_12),multiply(inverse(X_14),X_12))),inverse(X_12)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(inverse(X_21)),inverse(X_22)) = inverse(double_divide(inverse(X_22),inverse(inverse(X_21)))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(inverse(X_21)))),bind(B,$fot(inverse(X_22)))]]) ).
cnf(refute_0_49,plain,
double_divide(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(multiply(inverse(X_14),C))) = C,
inference(subst,[],[refute_0_38:[bind(X_4,$fot(multiply(inverse(X_14),C)))]]) ).
cnf(refute_0_50,plain,
multiply(inverse(C),multiply(inverse(X_14),C)) = inverse(X_14),
inference(subst,[],[refute_0_42:[bind(X_12,$fot(X_14)),bind(X_13,$fot(C))]]) ).
cnf(refute_0_51,plain,
( multiply(inverse(C),multiply(inverse(X_14),C)) != inverse(X_14)
| double_divide(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(multiply(inverse(X_14),C))) != C
| double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(multiply(inverse(X_14),C))),C) ),[0,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_52,plain,
( double_divide(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(multiply(inverse(X_14),C))) != C
| double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(X_14)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(C),multiply(inverse(X_14),C)),inverse(multiply(inverse(X_14),C))),C) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(inverse(X_17),inverse(multiply(inverse(X_17),multiply(inverse(X_12),X_17)))) = multiply(inverse(X_12),X_17),
inference(subst,[],[refute_0_53:[bind(C,$fot(multiply(inverse(X_12),X_17))),bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_55,plain,
multiply(inverse(X_17),multiply(inverse(X_12),X_17)) = inverse(X_12),
inference(subst,[],[refute_0_42:[bind(X_13,$fot(X_17))]]) ).
cnf(refute_0_56,plain,
( multiply(inverse(X_17),multiply(inverse(X_12),X_17)) != inverse(X_12)
| double_divide(inverse(X_17),inverse(multiply(inverse(X_17),multiply(inverse(X_12),X_17)))) != multiply(inverse(X_12),X_17)
| double_divide(inverse(X_17),inverse(inverse(X_12))) = multiply(inverse(X_12),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),inverse(multiply(inverse(X_17),multiply(inverse(X_12),X_17)))),multiply(inverse(X_12),X_17)) ),[0,1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_57,plain,
( double_divide(inverse(X_17),inverse(multiply(inverse(X_17),multiply(inverse(X_12),X_17)))) != multiply(inverse(X_12),X_17)
| double_divide(inverse(X_17),inverse(inverse(X_12))) = multiply(inverse(X_12),X_17) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_17),multiply(inverse(X_12),X_17)),inverse(X_12)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(inverse(X_17),inverse(inverse(X_12))) = multiply(inverse(X_12),X_17),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(multiply(inverse(X_17),multiply(inverse(X_12),X_17)))),multiply(inverse(X_12),X_17)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(inverse(X_22),inverse(inverse(X_21))) = multiply(inverse(X_21),X_22),
inference(subst,[],[refute_0_58:[bind(X_12,$fot(X_21)),bind(X_17,$fot(X_22))]]) ).
cnf(refute_0_60,plain,
( multiply(inverse(inverse(X_21)),inverse(X_22)) != inverse(double_divide(inverse(X_22),inverse(inverse(X_21))))
| double_divide(inverse(X_22),inverse(inverse(X_21))) != multiply(inverse(X_21),X_22)
| multiply(inverse(inverse(X_21)),inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),inverse(double_divide(inverse(X_22),inverse(inverse(X_21))))) ),[1,0],$fot(multiply(inverse(X_21),X_22))]]) ).
cnf(refute_0_61,plain,
( multiply(inverse(inverse(X_21)),inverse(X_22)) != inverse(double_divide(inverse(X_22),inverse(inverse(X_21))))
| multiply(inverse(inverse(X_21)),inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(inverse(X_21))),multiply(inverse(X_21),X_22)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(inverse(inverse(X_21)),inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),inverse(double_divide(inverse(X_22),inverse(inverse(X_21))))) )],[refute_0_48,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(A,inverse(A))))) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_64,plain,
double_divide(multiply(inverse(double_divide(B,A)),X_13),inverse(X_13)) = double_divide(B,A),
inference(subst,[],[refute_0_38:[bind(C,$fot(double_divide(B,A))),bind(X_4,$fot(X_13))]]) ).
cnf(refute_0_65,plain,
( double_divide(multiply(inverse(double_divide(B,A)),X_13),inverse(X_13)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(multiply(A,B),X_13),inverse(X_13)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_13),inverse(X_13)),double_divide(B,A)) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_66,plain,
( double_divide(multiply(inverse(double_divide(B,A)),X_13),inverse(X_13)) != double_divide(B,A)
| double_divide(multiply(multiply(A,B),X_13),inverse(X_13)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(multiply(multiply(A,B),X_13),inverse(X_13)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),X_13),inverse(X_13)),double_divide(B,A)) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(multiply(multiply(inverse(B),B),X_13),inverse(X_13)) = double_divide(B,inverse(B)),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_69,plain,
double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = double_divide(multiply(inverse(C),X_4),inverse(X_4)),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(X_4))),bind(B,$fot(multiply(inverse(C),X_4))),bind(X_13,$fot(X_33))]]) ).
cnf(refute_0_70,plain,
( double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != double_divide(multiply(inverse(C),X_4),inverse(X_4))
| double_divide(multiply(inverse(C),X_4),inverse(X_4)) != C
| double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = C ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),C) ),[0],$fot(double_divide(multiply(inverse(C),X_4),inverse(X_4)))]]) ).
cnf(refute_0_71,plain,
( double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != double_divide(multiply(inverse(C),X_4),inverse(X_4))
| double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(C),X_4),inverse(X_4)),C) )],[refute_0_38,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),double_divide(multiply(inverse(C),X_4),inverse(X_4))) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(multiply(inverse(X_12),X_13))) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(X_13))),bind(B,$fot(multiply(inverse(X_4),X_12))),bind(X_13,$fot(multiply(inverse(X_12),X_13)))]]) ).
cnf(refute_0_74,plain,
multiply(multiply(inverse(X_13),multiply(inverse(X_4),double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))),multiply(inverse(X_12),X_13)) = inverse(X_4),
inference(subst,[],[refute_0_34:[bind(B,$fot(multiply(inverse(X_12),X_13))),bind(X_3,$fot(inverse(X_13)))]]) ).
cnf(refute_0_75,plain,
( multiply(multiply(inverse(X_13),multiply(inverse(X_4),double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))),multiply(inverse(X_12),X_13)) != inverse(X_4)
| double_divide(multiply(inverse(X_12),X_13),inverse(X_13)) != X_12
| multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_13),multiply(inverse(X_4),double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))),multiply(inverse(X_12),X_13)),inverse(X_4)) ),[0,0,1,1],$fot(X_12)]]) ).
cnf(refute_0_76,plain,
( multiply(multiply(inverse(X_13),multiply(inverse(X_4),double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))),multiply(inverse(X_12),X_13)) != inverse(X_4)
| multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)),X_12) )],[refute_0_39,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_13),multiply(inverse(X_4),double_divide(multiply(inverse(X_12),X_13),inverse(X_13)))),multiply(inverse(X_12),X_13)),inverse(X_4)) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
( multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)) != inverse(X_4)
| double_divide(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(multiply(inverse(X_12),X_13))) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(multiply(inverse(X_12),X_13))),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_79,plain,
( double_divide(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(multiply(inverse(X_12),X_13))) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(X_4)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(inverse(X_4),X_12)),multiply(inverse(X_12),X_13)),inverse(multiply(inverse(X_12),X_13))),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) )],[refute_0_73,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(inverse(X_22),inverse(inverse(double_divide(B,A)))) = multiply(inverse(double_divide(B,A)),X_22),
inference(subst,[],[refute_0_58:[bind(X_12,$fot(double_divide(B,A))),bind(X_17,$fot(X_22))]]) ).
cnf(refute_0_82,plain,
( double_divide(inverse(X_22),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_22)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_22),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_22)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_83,plain,
( double_divide(inverse(X_22),inverse(inverse(double_divide(B,A)))) != multiply(inverse(double_divide(B,A)),X_22)
| double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_22) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(inverse(double_divide(B,A)),X_22),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(inverse(double_divide(B,A)))),multiply(inverse(double_divide(B,A)),X_22)) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(inverse(double_divide(B,A)),X_22) = multiply(inverse(double_divide(B,A)),X_22),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(B,A)),X_22))]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(double_divide(B,A)),X_22) != multiply(inverse(double_divide(B,A)),X_22)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_22) = multiply(multiply(A,B),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_22),multiply(inverse(double_divide(B,A)),X_22)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_87,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(double_divide(B,A)),X_22) = multiply(multiply(A,B),X_22) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_22),multiply(inverse(double_divide(B,A)),X_22)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(double_divide(B,A)),X_22) = multiply(multiply(A,B),X_22),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_87]) ).
cnf(refute_0_89,plain,
( multiply(inverse(double_divide(B,A)),X_22) != multiply(multiply(A,B),X_22)
| double_divide(inverse(X_22),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_22)
| double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(multiply(A,B),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_22)) ),[1],$fot(multiply(multiply(A,B),X_22))]]) ).
cnf(refute_0_90,plain,
( double_divide(inverse(X_22),inverse(multiply(A,B))) != multiply(inverse(double_divide(B,A)),X_22)
| double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(multiply(A,B),X_22) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_22),multiply(multiply(A,B),X_22)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(inverse(X_22),inverse(multiply(A,B))) = multiply(multiply(A,B),X_22),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(multiply(A,B))),multiply(inverse(double_divide(B,A)),X_22)) )],[refute_0_84,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) = multiply(multiply(inverse(X_12),X_13),X_4),
inference(subst,[],[refute_0_91:[bind(A,$fot(inverse(X_12))),bind(B,$fot(X_13)),bind(X_22,$fot(X_4))]]) ).
cnf(refute_0_93,plain,
( double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) != multiply(multiply(inverse(X_12),X_13),X_4)
| double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| multiply(multiply(inverse(X_12),X_13),X_4) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) ),[0],$fot(multiply(multiply(inverse(X_12),X_13),X_4))]]) ).
cnf(refute_0_94,plain,
( double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| multiply(multiply(inverse(X_12),X_13),X_4) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))),multiply(multiply(inverse(X_12),X_13),X_4)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(multiply(inverse(X_12),X_13),X_4) = double_divide(multiply(inverse(X_4),X_12),inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(multiply(inverse(X_12),X_13))),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) )],[refute_0_80,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiply(multiply(inverse(X_12),X_13),X_4) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(multiply(inverse(X_12),X_13),X_4) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(multiply(inverse(X_12),X_13),X_4))),bind(Y,$fot(double_divide(multiply(inverse(X_4),X_12),inverse(X_13))))]]) ).
cnf(refute_0_97,plain,
double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(multiply(inverse(X_12),X_13),X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_12),X_13),X_4),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(multiply(inverse(C),X_4),inverse(X_4)) = multiply(multiply(inverse(X_4),X_4),C),
inference(subst,[],[refute_0_97:[bind(X_12,$fot(X_4)),bind(X_13,$fot(X_4)),bind(X_4,$fot(C))]]) ).
cnf(refute_0_99,plain,
( double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != double_divide(multiply(inverse(C),X_4),inverse(X_4))
| double_divide(multiply(inverse(C),X_4),inverse(X_4)) != multiply(multiply(inverse(X_4),X_4),C)
| double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = multiply(multiply(inverse(X_4),X_4),C) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)))),bind(Y,$fot(double_divide(multiply(inverse(C),X_4),inverse(X_4)))),bind(Z,$fot(multiply(multiply(inverse(X_4),X_4),C)))]]) ).
cnf(refute_0_100,plain,
( double_divide(multiply(inverse(C),X_4),inverse(X_4)) != multiply(multiply(inverse(X_4),X_4),C)
| double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = multiply(multiply(inverse(X_4),X_4),C) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),double_divide(multiply(inverse(C),X_4),inverse(X_4))) )],[refute_0_69,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) = multiply(multiply(inverse(X_4),X_4),C),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(C),X_4),inverse(X_4)),multiply(multiply(inverse(X_4),X_4),C)) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != C
| double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != multiply(multiply(inverse(X_4),X_4),C)
| multiply(multiply(inverse(X_4),X_4),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),C) ),[0],$fot(multiply(multiply(inverse(X_4),X_4),C))]]) ).
cnf(refute_0_103,plain,
( double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)) != C
| multiply(multiply(inverse(X_4),X_4),C) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),multiply(multiply(inverse(X_4),X_4),C)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(multiply(inverse(X_4),X_4),C) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),multiply(inverse(C),X_4)),X_33),inverse(X_33)),C) )],[refute_0_72,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(multiply(inverse(B),B),X_13) = X_13,
inference(subst,[],[refute_0_104:[bind(C,$fot(X_13)),bind(X_4,$fot(B))]]) ).
cnf(refute_0_106,plain,
( multiply(multiply(inverse(B),B),X_13) != X_13
| double_divide(multiply(multiply(inverse(B),B),X_13),inverse(X_13)) != double_divide(B,inverse(B))
| double_divide(X_13,inverse(X_13)) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(B),B),X_13),inverse(X_13)),double_divide(B,inverse(B))) ),[0,0],$fot(X_13)]]) ).
cnf(refute_0_107,plain,
( double_divide(multiply(multiply(inverse(B),B),X_13),inverse(X_13)) != double_divide(B,inverse(B))
| double_divide(X_13,inverse(X_13)) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_13),X_13) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(X_13,inverse(X_13)) = double_divide(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(B),B),X_13),inverse(X_13)),double_divide(B,inverse(B))) )],[refute_0_68,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(A,inverse(A)) = double_divide(X_36,inverse(X_36)),
inference(subst,[],[refute_0_108:[bind(B,$fot(X_36)),bind(X_13,$fot(A))]]) ).
cnf(refute_0_110,plain,
( double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(A,inverse(A))))) != C
| double_divide(A,inverse(A)) != double_divide(X_36,inverse(X_36))
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(A,inverse(A))))),C) ),[0,1,1,1],$fot(double_divide(X_36,inverse(X_36)))]]) ).
cnf(refute_0_111,plain,
( double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(A,inverse(A))))) != C
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,inverse(A)),double_divide(X_36,inverse(X_36))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(A,inverse(A))))),C) )],[refute_0_63,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) = inverse(X_4),
inference(subst,[],[refute_0_34:[bind(X_3,$fot(inverse(B)))]]) ).
cnf(refute_0_114,plain,
double_divide(B,inverse(B)) = double_divide(X_36,inverse(X_36)),
inference(subst,[],[refute_0_108:[bind(B,$fot(X_36)),bind(X_13,$fot(B))]]) ).
cnf(refute_0_115,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) != inverse(X_4)
| double_divide(B,inverse(B)) != double_divide(X_36,inverse(X_36))
| multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B),inverse(X_4)) ),[0,0,1,1],$fot(double_divide(X_36,inverse(X_36)))]]) ).
cnf(refute_0_116,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B) != inverse(X_4)
| multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(B)),double_divide(X_36,inverse(X_36))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(B,inverse(B)))),B),inverse(X_4)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) = multiply(multiply(inverse(X_14),C),X_14),
inference(subst,[],[refute_0_91:[bind(A,$fot(inverse(X_14))),bind(B,$fot(C)),bind(X_22,$fot(X_14))]]) ).
cnf(refute_0_119,plain,
( double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) != C
| double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) != multiply(multiply(inverse(X_14),C),X_14)
| multiply(multiply(inverse(X_14),C),X_14) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))),C) ),[0],$fot(multiply(multiply(inverse(X_14),C),X_14))]]) ).
cnf(refute_0_120,plain,
( double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))) != C
| multiply(multiply(inverse(X_14),C),X_14) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))),multiply(multiply(inverse(X_14),C),X_14)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(multiply(inverse(X_14),C),X_14) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_14),inverse(multiply(inverse(X_14),C))),C) )],[refute_0_53,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) = multiply(inverse(X_4),double_divide(X_36,inverse(X_36))),
inference(subst,[],[refute_0_121:[bind(C,$fot(multiply(inverse(X_4),double_divide(X_36,inverse(X_36))))),bind(X_14,$fot(B))]]) ).
cnf(refute_0_123,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) != multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))
| multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B),inverse(X_4)) ),[0],$fot(multiply(inverse(X_4),double_divide(X_36,inverse(X_36))))]]) ).
cnf(refute_0_124,plain,
( multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B) != inverse(X_4)
| multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),multiply(inverse(X_4),double_divide(X_36,inverse(X_36)))),B),inverse(X_4)) )],[refute_0_117,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(inverse(C),double_divide(X_36,inverse(X_36))) = inverse(C),
inference(subst,[],[refute_0_125:[bind(X_4,$fot(C))]]) ).
cnf(refute_0_127,plain,
multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) = multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))),
introduced(tautology,[refl,[$fot(multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))))]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) != multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))
| multiply(inverse(C),double_divide(X_36,inverse(X_36))) != inverse(C)
| multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) = multiply(inverse(A),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))),multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(C),double_divide(X_36,inverse(X_36))) != inverse(C)
| multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) = multiply(inverse(A),inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))),multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) = multiply(inverse(A),inverse(C)),
inference(resolve,[$cnf( $equal(multiply(inverse(C),double_divide(X_36,inverse(X_36))),inverse(C)) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),
introduced(tautology,[refl,[$fot(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) != multiply(inverse(A),inverse(C))
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) != double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))))
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = double_divide(A,multiply(inverse(A),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))))) ),[1,1],$fot(multiply(inverse(A),inverse(C)))]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))) != multiply(inverse(A),inverse(C))
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = double_divide(A,multiply(inverse(A),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) = double_divide(A,multiply(inverse(A),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36)))),multiply(inverse(A),inverse(C))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
( double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) != C
| double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) != double_divide(A,multiply(inverse(A),inverse(C)))
| double_divide(A,multiply(inverse(A),inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),C) ),[0],$fot(double_divide(A,multiply(inverse(A),inverse(C))))]]) ).
cnf(refute_0_136,plain,
( double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))) != C
| double_divide(A,multiply(inverse(A),inverse(C))) = C ),
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),double_divide(A,multiply(inverse(A),inverse(C)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(A,multiply(inverse(A),inverse(C))) = C,
inference(resolve,[$cnf( $equal(double_divide(A,multiply(inverse(A),multiply(inverse(C),double_divide(X_36,inverse(X_36))))),C) )],[refute_0_112,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))) = C,
inference(subst,[],[refute_0_137:[bind(A,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_139,plain,
double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),double_divide(multiply(inverse(X_12),X_13),inverse(X_13))))) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_12),X_13))),bind(B,$fot(inverse(X_13)))]]) ).
cnf(refute_0_140,plain,
( double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),double_divide(multiply(inverse(X_12),X_13),inverse(X_13))))) != C
| double_divide(multiply(inverse(X_12),X_13),inverse(X_13)) != X_12
| double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),X_12))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),double_divide(multiply(inverse(X_12),X_13),inverse(X_13))))),C) ),[0,1,1,1],$fot(X_12)]]) ).
cnf(refute_0_141,plain,
( double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),double_divide(multiply(inverse(X_12),X_13),inverse(X_13))))) != C
| double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),X_12))) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_13),inverse(X_13)),X_12) )],[refute_0_39,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),X_12))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),X_13),multiply(inverse(X_13),multiply(inverse(C),double_divide(multiply(inverse(X_12),X_13),inverse(X_13))))),C) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = C,
inference(subst,[],[refute_0_142:[bind(X_13,$fot(double_divide(X_46,inverse(X_46))))]]) ).
cnf(refute_0_144,plain,
multiply(inverse(X_12),double_divide(X_46,inverse(X_46))) = inverse(X_12),
inference(subst,[],[refute_0_125:[bind(X_36,$fot(X_46)),bind(X_4,$fot(X_12))]]) ).
cnf(refute_0_145,plain,
( multiply(inverse(X_12),double_divide(X_46,inverse(X_46))) != inverse(X_12)
| double_divide(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != C
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),C) ),[0,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_146,plain,
( double_divide(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != C
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),inverse(X_12)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_12),double_divide(X_46,inverse(X_46))),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),C) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)) = multiply(inverse(C),X_12),
inference(subst,[],[refute_0_104:[bind(C,$fot(multiply(inverse(C),X_12))),bind(X_4,$fot(X_46))]]) ).
cnf(refute_0_149,plain,
inverse(double_divide(X_46,inverse(X_46))) = multiply(inverse(X_46),X_46),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_46))),bind(B,$fot(X_46))]]) ).
cnf(refute_0_150,plain,
multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) != multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))
| inverse(double_divide(X_46,inverse(X_46))) != multiply(inverse(X_46),X_46)
| multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) ),[1,0],$fot(multiply(inverse(X_46),X_46))]]) ).
cnf(refute_0_152,plain,
( inverse(double_divide(X_46,inverse(X_46))) != multiply(inverse(X_46),X_46)
| multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(X_46),X_46)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)) != multiply(inverse(C),X_12)
| multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) != multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12))
| multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(inverse(C),X_12) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)))),bind(Y,$fot(multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)))),bind(Z,$fot(multiply(inverse(C),X_12)))]]) ).
cnf(refute_0_155,plain,
( multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)) != multiply(inverse(C),X_12)
| multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(inverse(C),X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)),multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) = multiply(inverse(C),X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),multiply(inverse(C),X_12)),multiply(inverse(C),X_12)) )],[refute_0_148,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))))]]) ).
cnf(refute_0_158,plain,
( multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) != multiply(inverse(C),X_12)
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)))
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = double_divide(inverse(X_12),multiply(inverse(C),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)))) ),[1,1],$fot(multiply(inverse(C),X_12))]]) ).
cnf(refute_0_159,plain,
( multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)) != multiply(inverse(C),X_12)
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = double_divide(inverse(X_12),multiply(inverse(C),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) = double_divide(inverse(X_12),multiply(inverse(C),X_12)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12)),multiply(inverse(C),X_12)) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != C
| double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != double_divide(inverse(X_12),multiply(inverse(C),X_12))
| double_divide(inverse(X_12),multiply(inverse(C),X_12)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),C) ),[0],$fot(double_divide(inverse(X_12),multiply(inverse(C),X_12)))]]) ).
cnf(refute_0_162,plain,
( double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))) != C
| double_divide(inverse(X_12),multiply(inverse(C),X_12)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),double_divide(inverse(X_12),multiply(inverse(C),X_12))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(inverse(X_12),multiply(inverse(C),X_12)) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),multiply(inverse(double_divide(X_46,inverse(X_46))),multiply(inverse(C),X_12))),C) )],[refute_0_147,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))) = inverse(inverse(C)),
inference(subst,[],[refute_0_163:[bind(C,$fot(inverse(inverse(C)))),bind(X_12,$fot(inverse(C)))]]) ).
cnf(refute_0_165,plain,
( double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))) != C
| double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))) != inverse(inverse(C))
| inverse(inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_166,plain,
( double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))) != C
| inverse(inverse(C)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))),inverse(inverse(C))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(C)),multiply(inverse(inverse(inverse(C))),inverse(C))),C) )],[refute_0_138,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(inverse(X_21)) = X_21,
inference(subst,[],[refute_0_167:[bind(C,$fot(X_21))]]) ).
cnf(refute_0_169,plain,
multiply(inverse(inverse(X_21)),inverse(X_22)) = multiply(inverse(inverse(X_21)),inverse(X_22)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_21)),inverse(X_22)))]]) ).
cnf(refute_0_170,plain,
( multiply(inverse(inverse(X_21)),inverse(X_22)) != multiply(inverse(inverse(X_21)),inverse(X_22))
| inverse(inverse(X_21)) != X_21
| multiply(inverse(inverse(X_21)),inverse(X_22)) = multiply(X_21,inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),multiply(inverse(inverse(X_21)),inverse(X_22))) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_171,plain,
( inverse(inverse(X_21)) != X_21
| multiply(inverse(inverse(X_21)),inverse(X_22)) = multiply(X_21,inverse(X_22)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),multiply(inverse(inverse(X_21)),inverse(X_22))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(inverse(inverse(X_21)),inverse(X_22)) = multiply(X_21,inverse(X_22)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_21)),X_21) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( multiply(inverse(inverse(X_21)),inverse(X_22)) != multiply(X_21,inverse(X_22))
| multiply(inverse(inverse(X_21)),inverse(X_22)) != inverse(multiply(inverse(X_21),X_22))
| multiply(X_21,inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),inverse(multiply(inverse(X_21),X_22))) ),[0],$fot(multiply(X_21,inverse(X_22)))]]) ).
cnf(refute_0_174,plain,
( multiply(inverse(inverse(X_21)),inverse(X_22)) != inverse(multiply(inverse(X_21),X_22))
| multiply(X_21,inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),multiply(X_21,inverse(X_22))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(X_21,inverse(X_22)) = inverse(multiply(inverse(X_21),X_22)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_21)),inverse(X_22)),inverse(multiply(inverse(X_21),X_22))) )],[refute_0_62,refute_0_174]) ).
cnf(refute_0_176,plain,
( multiply(X_21,inverse(X_22)) != inverse(multiply(inverse(X_21),X_22))
| inverse(multiply(inverse(X_21),X_22)) = multiply(X_21,inverse(X_22)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_21,inverse(X_22)))),bind(Y,$fot(inverse(multiply(inverse(X_21),X_22))))]]) ).
cnf(refute_0_177,plain,
inverse(multiply(inverse(X_21),X_22)) = multiply(X_21,inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(X_22)),inverse(multiply(inverse(X_21),X_22))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(multiply(inverse(X_14),X_12)) = multiply(X_14,inverse(X_12)),
inference(subst,[],[refute_0_177:[bind(X_21,$fot(X_14)),bind(X_22,$fot(X_12))]]) ).
cnf(refute_0_179,plain,
multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)))]]) ).
cnf(refute_0_180,plain,
( multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) != multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14))
| inverse(multiply(inverse(X_14),X_12)) != multiply(X_14,inverse(X_12))
| multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = multiply(multiply(X_14,inverse(X_12)),inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14))) ),[1,0],$fot(multiply(X_14,inverse(X_12)))]]) ).
cnf(refute_0_181,plain,
( inverse(multiply(inverse(X_14),X_12)) != multiply(X_14,inverse(X_12))
| multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = multiply(multiply(X_14,inverse(X_12)),inverse(X_14)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) = multiply(multiply(X_14,inverse(X_12)),inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_14),X_12)),multiply(X_14,inverse(X_12))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) != multiply(multiply(X_14,inverse(X_12)),inverse(X_14))
| multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) != inverse(X_12)
| multiply(multiply(X_14,inverse(X_12)),inverse(X_14)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),inverse(X_12)) ),[0],$fot(multiply(multiply(X_14,inverse(X_12)),inverse(X_14)))]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)) != inverse(X_12)
| multiply(multiply(X_14,inverse(X_12)),inverse(X_14)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),multiply(multiply(X_14,inverse(X_12)),inverse(X_14))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(multiply(X_14,inverse(X_12)),inverse(X_14)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_14),X_12)),inverse(X_14)),inverse(X_12)) )],[refute_0_47,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(multiply(X_56,inverse(inverse(C))),inverse(X_56)) = inverse(inverse(C)),
inference(subst,[],[refute_0_185:[bind(X_12,$fot(inverse(C))),bind(X_14,$fot(X_56))]]) ).
cnf(refute_0_187,plain,
( multiply(multiply(X_56,inverse(inverse(C))),inverse(X_56)) != inverse(inverse(C))
| inverse(inverse(C)) != C
| multiply(multiply(X_56,C),inverse(X_56)) = inverse(inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_56,inverse(inverse(C))),inverse(X_56)),inverse(inverse(C))) ),[0,0,1],$fot(C)]]) ).
cnf(refute_0_188,plain,
( multiply(multiply(X_56,inverse(inverse(C))),inverse(X_56)) != inverse(inverse(C))
| multiply(multiply(X_56,C),inverse(X_56)) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_167,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(multiply(X_56,C),inverse(X_56)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,inverse(inverse(C))),inverse(X_56)),inverse(inverse(C))) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(multiply(X_56,C),inverse(X_56)) != inverse(inverse(C))
| inverse(inverse(C)) != C
| multiply(multiply(X_56,C),inverse(X_56)) = C ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_56,C),inverse(X_56)),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(X_56,C),inverse(X_56)) != inverse(inverse(C))
| multiply(multiply(X_56,C),inverse(X_56)) = C ),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_167,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(multiply(X_56,C),inverse(X_56)) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,C),inverse(X_56)),inverse(inverse(C))) )],[refute_0_189,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(multiply(X_56,double_divide(X_56,X_60)),inverse(X_56)) = double_divide(X_56,X_60),
inference(subst,[],[refute_0_192:[bind(C,$fot(double_divide(X_56,X_60)))]]) ).
cnf(refute_0_194,plain,
multiply(multiply(multiply(X_58,X_57),inverse(X_58)),inverse(multiply(X_58,X_57))) = inverse(X_58),
inference(subst,[],[refute_0_192:[bind(C,$fot(inverse(X_58))),bind(X_56,$fot(multiply(X_58,X_57)))]]) ).
cnf(refute_0_195,plain,
multiply(multiply(X_58,X_57),inverse(X_58)) = X_57,
inference(subst,[],[refute_0_192:[bind(C,$fot(X_57)),bind(X_56,$fot(X_58))]]) ).
cnf(refute_0_196,plain,
( multiply(multiply(X_58,X_57),inverse(X_58)) != X_57
| multiply(multiply(multiply(X_58,X_57),inverse(X_58)),inverse(multiply(X_58,X_57))) != inverse(X_58)
| multiply(X_57,inverse(multiply(X_58,X_57))) = inverse(X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_58,X_57),inverse(X_58)),inverse(multiply(X_58,X_57))),inverse(X_58)) ),[0,0],$fot(X_57)]]) ).
cnf(refute_0_197,plain,
( multiply(multiply(multiply(X_58,X_57),inverse(X_58)),inverse(multiply(X_58,X_57))) != inverse(X_58)
| multiply(X_57,inverse(multiply(X_58,X_57))) = inverse(X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,X_57),inverse(X_58)),X_57) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(X_57,inverse(multiply(X_58,X_57))) = inverse(X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_58,X_57),inverse(X_58)),inverse(multiply(X_58,X_57))),inverse(X_58)) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
double_divide(multiply(inverse(X_24),X_24),multiply(inverse(X_24),multiply(inverse(X_23),X_24))) = X_23,
inference(subst,[],[refute_0_142:[bind(C,$fot(X_23)),bind(X_12,$fot(X_24)),bind(X_13,$fot(X_24))]]) ).
cnf(refute_0_200,plain,
multiply(inverse(X_24),multiply(inverse(X_23),X_24)) = inverse(X_23),
inference(subst,[],[refute_0_42:[bind(X_12,$fot(X_23)),bind(X_13,$fot(X_24))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_24),multiply(inverse(X_23),X_24)) != inverse(X_23)
| double_divide(multiply(inverse(X_24),X_24),multiply(inverse(X_24),multiply(inverse(X_23),X_24))) != X_23
| double_divide(multiply(inverse(X_24),X_24),inverse(X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_24),X_24),multiply(inverse(X_24),multiply(inverse(X_23),X_24))),X_23) ),[0,1],$fot(inverse(X_23))]]) ).
cnf(refute_0_202,plain,
( double_divide(multiply(inverse(X_24),X_24),multiply(inverse(X_24),multiply(inverse(X_23),X_24))) != X_23
| double_divide(multiply(inverse(X_24),X_24),inverse(X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),multiply(inverse(X_23),X_24)),inverse(X_23)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
double_divide(multiply(inverse(X_24),X_24),inverse(X_23)) = X_23,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_24),X_24),multiply(inverse(X_24),multiply(inverse(X_23),X_24))),X_23) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
double_divide(multiply(inverse(X_27),X_27),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_203:[bind(X_23,$fot(double_divide(B,A))),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_205,plain,
( double_divide(multiply(inverse(X_27),X_27),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_27),X_27),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_206,plain,
( double_divide(multiply(inverse(X_27),X_27),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_205]) ).
cnf(refute_0_207,plain,
double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_27),X_27),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
double_divide(inverse(double_divide(B,A)),inverse(inverse(X_21))) = multiply(inverse(X_21),double_divide(B,A)),
inference(subst,[],[refute_0_58:[bind(X_12,$fot(X_21)),bind(X_17,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_209,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(X_21))) != multiply(inverse(X_21),double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(inverse(X_21))) = multiply(inverse(X_21),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(X_21))),multiply(inverse(X_21),double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_210,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(X_21))) != multiply(inverse(X_21),double_divide(B,A))
| double_divide(multiply(A,B),inverse(inverse(X_21))) = multiply(inverse(X_21),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(multiply(A,B),inverse(inverse(X_21))) = multiply(inverse(X_21),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(X_21))),multiply(inverse(X_21),double_divide(B,A))) )],[refute_0_208,refute_0_210]) ).
cnf(refute_0_212,plain,
double_divide(multiply(A,B),inverse(inverse(X_21))) = double_divide(multiply(A,B),inverse(inverse(X_21))),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(inverse(X_21))))]]) ).
cnf(refute_0_213,plain,
( double_divide(multiply(A,B),inverse(inverse(X_21))) != double_divide(multiply(A,B),inverse(inverse(X_21)))
| inverse(inverse(X_21)) != X_21
| double_divide(multiply(A,B),inverse(inverse(X_21))) = double_divide(multiply(A,B),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_21))),double_divide(multiply(A,B),inverse(inverse(X_21)))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_214,plain,
( inverse(inverse(X_21)) != X_21
| double_divide(multiply(A,B),inverse(inverse(X_21))) = double_divide(multiply(A,B),X_21) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_21))),double_divide(multiply(A,B),inverse(inverse(X_21)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(multiply(A,B),inverse(inverse(X_21))) = double_divide(multiply(A,B),X_21),
inference(resolve,[$cnf( $equal(inverse(inverse(X_21)),X_21) )],[refute_0_168,refute_0_214]) ).
cnf(refute_0_216,plain,
( double_divide(multiply(A,B),inverse(inverse(X_21))) != multiply(inverse(X_21),double_divide(B,A))
| double_divide(multiply(A,B),inverse(inverse(X_21))) != double_divide(multiply(A,B),X_21)
| double_divide(multiply(A,B),X_21) = multiply(inverse(X_21),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_21))),multiply(inverse(X_21),double_divide(B,A))) ),[0],$fot(double_divide(multiply(A,B),X_21))]]) ).
cnf(refute_0_217,plain,
( double_divide(multiply(A,B),inverse(inverse(X_21))) != multiply(inverse(X_21),double_divide(B,A))
| double_divide(multiply(A,B),X_21) = multiply(inverse(X_21),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_21))),double_divide(multiply(A,B),X_21)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(multiply(A,B),X_21) = multiply(inverse(X_21),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(X_21))),multiply(inverse(X_21),double_divide(B,A))) )],[refute_0_211,refute_0_217]) ).
cnf(refute_0_219,plain,
( double_divide(multiply(A,B),X_21) != multiply(inverse(X_21),double_divide(B,A))
| multiply(inverse(X_21),double_divide(B,A)) = double_divide(multiply(A,B),X_21) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(multiply(A,B),X_21))),bind(Y,$fot(multiply(inverse(X_21),double_divide(B,A))))]]) ).
cnf(refute_0_220,plain,
multiply(inverse(X_21),double_divide(B,A)) = double_divide(multiply(A,B),X_21),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),X_21),multiply(inverse(X_21),double_divide(B,A))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) = double_divide(multiply(inverse(X_36),X_36),X_4),
inference(subst,[],[refute_0_220:[bind(A,$fot(inverse(X_36))),bind(B,$fot(X_36)),bind(X_21,$fot(X_4))]]) ).
cnf(refute_0_222,plain,
( multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) != double_divide(multiply(inverse(X_36),X_36),X_4)
| multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) != inverse(X_4)
| double_divide(multiply(inverse(X_36),X_36),X_4) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_4),double_divide(X_36,inverse(X_36))),inverse(X_4)) ),[0],$fot(double_divide(multiply(inverse(X_36),X_36),X_4))]]) ).
cnf(refute_0_223,plain,
( multiply(inverse(X_4),double_divide(X_36,inverse(X_36))) != inverse(X_4)
| double_divide(multiply(inverse(X_36),X_36),X_4) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(X_36,inverse(X_36))),double_divide(multiply(inverse(X_36),X_36),X_4)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
double_divide(multiply(inverse(X_36),X_36),X_4) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(X_36,inverse(X_36))),inverse(X_4)) )],[refute_0_125,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_224:[bind(X_36,$fot(X_27)),bind(X_4,$fot(multiply(A,B)))]]) ).
cnf(refute_0_226,plain,
( double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) != double_divide(B,A)
| double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_27),X_27),multiply(A,B)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_227,plain,
( double_divide(multiply(inverse(X_27),X_27),multiply(A,B)) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_27),X_27),multiply(A,B)),inverse(multiply(A,B))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_27),X_27),multiply(A,B)),double_divide(B,A)) )],[refute_0_207,refute_0_227]) ).
cnf(refute_0_229,plain,
inverse(multiply(X_58,X_57)) = double_divide(X_57,X_58),
inference(subst,[],[refute_0_228:[bind(A,$fot(X_58)),bind(B,$fot(X_57))]]) ).
cnf(refute_0_230,plain,
multiply(X_57,inverse(multiply(X_58,X_57))) = multiply(X_57,inverse(multiply(X_58,X_57))),
introduced(tautology,[refl,[$fot(multiply(X_57,inverse(multiply(X_58,X_57))))]]) ).
cnf(refute_0_231,plain,
( multiply(X_57,inverse(multiply(X_58,X_57))) != multiply(X_57,inverse(multiply(X_58,X_57)))
| inverse(multiply(X_58,X_57)) != double_divide(X_57,X_58)
| multiply(X_57,inverse(multiply(X_58,X_57))) = multiply(X_57,double_divide(X_57,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,inverse(multiply(X_58,X_57))),multiply(X_57,inverse(multiply(X_58,X_57)))) ),[1,1],$fot(double_divide(X_57,X_58))]]) ).
cnf(refute_0_232,plain,
( inverse(multiply(X_58,X_57)) != double_divide(X_57,X_58)
| multiply(X_57,inverse(multiply(X_58,X_57))) = multiply(X_57,double_divide(X_57,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_58,X_57))),multiply(X_57,inverse(multiply(X_58,X_57)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_57,inverse(multiply(X_58,X_57))) = multiply(X_57,double_divide(X_57,X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,X_57)),double_divide(X_57,X_58)) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiply(X_57,inverse(multiply(X_58,X_57))) != multiply(X_57,double_divide(X_57,X_58))
| multiply(X_57,inverse(multiply(X_58,X_57))) != inverse(X_58)
| multiply(X_57,double_divide(X_57,X_58)) = inverse(X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,inverse(multiply(X_58,X_57))),inverse(X_58)) ),[0],$fot(multiply(X_57,double_divide(X_57,X_58)))]]) ).
cnf(refute_0_235,plain,
( multiply(X_57,inverse(multiply(X_58,X_57))) != inverse(X_58)
| multiply(X_57,double_divide(X_57,X_58)) = inverse(X_58) ),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_58,X_57))),multiply(X_57,double_divide(X_57,X_58))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(X_57,double_divide(X_57,X_58)) = inverse(X_58),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_58,X_57))),inverse(X_58)) )],[refute_0_198,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(X_56,double_divide(X_56,X_60)) = inverse(X_60),
inference(subst,[],[refute_0_236:[bind(X_57,$fot(X_56)),bind(X_58,$fot(X_60))]]) ).
cnf(refute_0_238,plain,
( multiply(X_56,double_divide(X_56,X_60)) != inverse(X_60)
| multiply(multiply(X_56,double_divide(X_56,X_60)),inverse(X_56)) != double_divide(X_56,X_60)
| multiply(inverse(X_60),inverse(X_56)) = double_divide(X_56,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_56,double_divide(X_56,X_60)),inverse(X_56)),double_divide(X_56,X_60)) ),[0,0],$fot(inverse(X_60))]]) ).
cnf(refute_0_239,plain,
( multiply(multiply(X_56,double_divide(X_56,X_60)),inverse(X_56)) != double_divide(X_56,X_60)
| multiply(inverse(X_60),inverse(X_56)) = double_divide(X_56,X_60) ),
inference(resolve,[$cnf( $equal(multiply(X_56,double_divide(X_56,X_60)),inverse(X_60)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(inverse(X_60),inverse(X_56)) = double_divide(X_56,X_60),
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,double_divide(X_56,X_60)),inverse(X_56)),double_divide(X_56,X_60)) )],[refute_0_193,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(inverse(double_divide(B,A)),inverse(X_61)) = double_divide(X_61,double_divide(B,A)),
inference(subst,[],[refute_0_240:[bind(X_56,$fot(X_61)),bind(X_60,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_242,plain,
( multiply(inverse(double_divide(B,A)),inverse(X_61)) != double_divide(X_61,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),inverse(X_61)) = double_divide(X_61,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),inverse(X_61)),double_divide(X_61,double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_243,plain,
( multiply(inverse(double_divide(B,A)),inverse(X_61)) != double_divide(X_61,double_divide(B,A))
| multiply(multiply(A,B),inverse(X_61)) = double_divide(X_61,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(multiply(A,B),inverse(X_61)) = double_divide(X_61,double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),inverse(X_61)),double_divide(X_61,double_divide(B,A))) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(multiply(X_56,C),inverse(X_56)) = double_divide(X_56,double_divide(C,X_56)),
inference(subst,[],[refute_0_244:[bind(A,$fot(X_56)),bind(B,$fot(C)),bind(X_61,$fot(X_56))]]) ).
cnf(refute_0_246,plain,
( multiply(multiply(X_56,C),inverse(X_56)) != C
| multiply(multiply(X_56,C),inverse(X_56)) != double_divide(X_56,double_divide(C,X_56))
| double_divide(X_56,double_divide(C,X_56)) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_56,C),inverse(X_56)),C) ),[0],$fot(double_divide(X_56,double_divide(C,X_56)))]]) ).
cnf(refute_0_247,plain,
( multiply(multiply(X_56,C),inverse(X_56)) != C
| double_divide(X_56,double_divide(C,X_56)) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,C),inverse(X_56)),double_divide(X_56,double_divide(C,X_56))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
double_divide(X_56,double_divide(C,X_56)) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_56,C),inverse(X_56)),C) )],[refute_0_192,refute_0_247]) ).
cnf(refute_0_249,plain,
double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) = multiply(X_56,X_104),
inference(subst,[],[refute_0_248:[bind(C,$fot(multiply(X_56,X_104)))]]) ).
cnf(refute_0_250,plain,
double_divide(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_33)) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_31)),bind(B,$fot(multiply(inverse(X_4),double_divide(X_33,X_31)))),bind(X_13,$fot(X_33))]]) ).
cnf(refute_0_251,plain,
multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33) = inverse(X_4),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_33)),bind(X_3,$fot(X_31))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33) != inverse(X_4)
| double_divide(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_33)) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| double_divide(inverse(X_4),inverse(X_33)) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_33)),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_253,plain,
( double_divide(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_33)) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| double_divide(inverse(X_4),inverse(X_33)) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_4)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
double_divide(inverse(X_4),inverse(X_33)) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_31,multiply(inverse(X_4),double_divide(X_33,X_31))),X_33),inverse(X_33)),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(inverse(X_33)) = X_33,
inference(subst,[],[refute_0_167:[bind(C,$fot(X_33))]]) ).
cnf(refute_0_256,plain,
multiply(inverse(inverse(X_33)),X_4) = multiply(inverse(inverse(X_33)),X_4),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_33)),X_4))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(inverse(X_33)),X_4) != multiply(inverse(inverse(X_33)),X_4)
| inverse(inverse(X_33)) != X_33
| multiply(inverse(inverse(X_33)),X_4) = multiply(X_33,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_33)),X_4),multiply(inverse(inverse(X_33)),X_4)) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_258,plain,
( inverse(inverse(X_33)) != X_33
| multiply(inverse(inverse(X_33)),X_4) = multiply(X_33,X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_33)),X_4),multiply(inverse(inverse(X_33)),X_4)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(inverse(inverse(X_33)),X_4) = multiply(X_33,X_4),
inference(resolve,[$cnf( $equal(inverse(inverse(X_33)),X_33) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
inverse(inverse(X_12)) = X_12,
inference(subst,[],[refute_0_167:[bind(C,$fot(X_12))]]) ).
cnf(refute_0_261,plain,
double_divide(inverse(X_17),inverse(inverse(X_12))) = double_divide(inverse(X_17),inverse(inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_17),inverse(inverse(X_12))))]]) ).
cnf(refute_0_262,plain,
( double_divide(inverse(X_17),inverse(inverse(X_12))) != double_divide(inverse(X_17),inverse(inverse(X_12)))
| inverse(inverse(X_12)) != X_12
| double_divide(inverse(X_17),inverse(inverse(X_12))) = double_divide(inverse(X_17),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),inverse(inverse(X_12))),double_divide(inverse(X_17),inverse(inverse(X_12)))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_263,plain,
( inverse(inverse(X_12)) != X_12
| double_divide(inverse(X_17),inverse(inverse(X_12))) = double_divide(inverse(X_17),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(inverse(X_12))),double_divide(inverse(X_17),inverse(inverse(X_12)))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
double_divide(inverse(X_17),inverse(inverse(X_12))) = double_divide(inverse(X_17),X_12),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( double_divide(inverse(X_17),inverse(inverse(X_12))) != multiply(inverse(X_12),X_17)
| double_divide(inverse(X_17),inverse(inverse(X_12))) != double_divide(inverse(X_17),X_12)
| double_divide(inverse(X_17),X_12) = multiply(inverse(X_12),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),inverse(inverse(X_12))),multiply(inverse(X_12),X_17)) ),[0],$fot(double_divide(inverse(X_17),X_12))]]) ).
cnf(refute_0_266,plain,
( double_divide(inverse(X_17),inverse(inverse(X_12))) != multiply(inverse(X_12),X_17)
| double_divide(inverse(X_17),X_12) = multiply(inverse(X_12),X_17) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(inverse(X_12))),double_divide(inverse(X_17),X_12)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(inverse(X_17),X_12) = multiply(inverse(X_12),X_17),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(inverse(X_12))),multiply(inverse(X_12),X_17)) )],[refute_0_58,refute_0_266]) ).
cnf(refute_0_268,plain,
double_divide(inverse(X_4),inverse(X_33)) = multiply(inverse(inverse(X_33)),X_4),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(inverse(X_33))),bind(X_17,$fot(X_4))]]) ).
cnf(refute_0_269,plain,
( multiply(inverse(inverse(X_33)),X_4) != multiply(X_33,X_4)
| double_divide(inverse(X_4),inverse(X_33)) != multiply(inverse(inverse(X_33)),X_4)
| double_divide(inverse(X_4),inverse(X_33)) = multiply(X_33,X_4) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(X_4),inverse(X_33)))),bind(Y,$fot(multiply(inverse(inverse(X_33)),X_4))),bind(Z,$fot(multiply(X_33,X_4)))]]) ).
cnf(refute_0_270,plain,
( multiply(inverse(inverse(X_33)),X_4) != multiply(X_33,X_4)
| double_divide(inverse(X_4),inverse(X_33)) = multiply(X_33,X_4) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(X_33)),multiply(inverse(inverse(X_33)),X_4)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(inverse(X_4),inverse(X_33)) = multiply(X_33,X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_33)),X_4),multiply(X_33,X_4)) )],[refute_0_259,refute_0_270]) ).
cnf(refute_0_272,plain,
( double_divide(inverse(X_4),inverse(X_33)) != multiply(X_33,X_4)
| double_divide(inverse(X_4),inverse(X_33)) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| multiply(X_33,X_4) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_4),inverse(X_33)),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) ),[0],$fot(multiply(X_33,X_4))]]) ).
cnf(refute_0_273,plain,
( double_divide(inverse(X_4),inverse(X_33)) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| multiply(X_33,X_4) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(X_33)),multiply(X_33,X_4)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(X_4),double_divide(X_33,X_31)) = double_divide(multiply(X_31,X_33),X_4),
inference(subst,[],[refute_0_220:[bind(A,$fot(X_31)),bind(B,$fot(X_33)),bind(X_21,$fot(X_4))]]) ).
cnf(refute_0_275,plain,
double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) = double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31))]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(X_4),double_divide(X_33,X_31)) != double_divide(multiply(X_31,X_33),X_4)
| double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) ),[1,0],$fot(double_divide(multiply(X_31,X_33),X_4))]]) ).
cnf(refute_0_277,plain,
( multiply(inverse(X_4),double_divide(X_33,X_31)) != double_divide(multiply(X_31,X_33),X_4)
| double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),double_divide(X_33,X_31)),double_divide(multiply(X_31,X_33),X_4)) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( multiply(X_33,X_4) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31) != double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)
| multiply(X_33,X_4) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_33,X_4),double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)) ),[0],$fot(double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31))]]) ).
cnf(refute_0_280,plain,
( multiply(X_33,X_4) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| multiply(X_33,X_4) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31),double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( double_divide(inverse(X_4),inverse(X_33)) != double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)
| multiply(X_33,X_4) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_33,X_4),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) )],[refute_0_273,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_33,X_4) = double_divide(double_divide(multiply(X_31,X_33),X_4),X_31),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_4),inverse(X_33)),double_divide(multiply(inverse(X_4),double_divide(X_33,X_31)),X_31)) )],[refute_0_254,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = inverse(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)))),
inference(subst,[],[multiply:[bind(A,$fot(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))))]]) ).
cnf(refute_0_284,plain,
double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))) = X_6,
inference(subst,[],[refute_0_28:[bind(A,$fot(B)),bind(C,$fot(X_6)),bind(X_3,$fot(X_7)),bind(X_4,$fot(X_8))]]) ).
cnf(refute_0_285,plain,
( multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != inverse(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))))
| double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))) != X_6
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),inverse(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_286,plain,
( multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != inverse(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))))
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))),X_6) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),inverse(double_divide(B,multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))))) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(inverse(X_8),double_divide(B,X_7)) = double_divide(multiply(X_7,B),X_8),
inference(subst,[],[refute_0_220:[bind(A,$fot(X_7)),bind(X_21,$fot(X_8))]]) ).
cnf(refute_0_289,plain,
multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) = multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),
introduced(tautology,[refl,[$fot(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))))]]) ).
cnf(refute_0_290,plain,
( multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) != multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7)))
| multiply(inverse(X_8),double_divide(B,X_7)) != double_divide(multiply(X_7,B),X_8)
| multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) = multiply(X_7,double_divide(multiply(X_7,B),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7)))) ),[1,1],$fot(double_divide(multiply(X_7,B),X_8))]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(X_8),double_divide(B,X_7)) != double_divide(multiply(X_7,B),X_8)
| multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) = multiply(X_7,double_divide(multiply(X_7,B),X_8)) ),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) = multiply(X_7,double_divide(multiply(X_7,B),X_8)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),double_divide(B,X_7)),double_divide(multiply(X_7,B),X_8)) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) = multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)))]]) ).
cnf(refute_0_294,plain,
( multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) != multiply(X_7,double_divide(multiply(X_7,B),X_8))
| multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) != multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))
| multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) = multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))) ),[1,0],$fot(multiply(X_7,double_divide(multiply(X_7,B),X_8)))]]) ).
cnf(refute_0_295,plain,
( multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))) != multiply(X_7,double_divide(multiply(X_7,B),X_8))
| multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) = multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) = multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(X_7,double_divide(multiply(X_7,B),X_8))) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B))]]) ).
cnf(refute_0_298,plain,
( multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) != multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8))
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B)
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B)) ),[1,0],$fot(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)))]]) ).
cnf(refute_0_299,plain,
( multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)) != multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8))
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) = multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B)
| multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != inverse(X_6)
| multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),inverse(X_6)) ),[0],$fot(multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B))]]) ).
cnf(refute_0_302,plain,
( multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B) != inverse(X_6)
| multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(multiply(multiply(X_7,double_divide(multiply(X_7,B),X_8)),multiply(inverse(X_6),X_8)),B) = inverse(X_6),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,multiply(inverse(X_8),double_divide(B,X_7))),multiply(inverse(X_6),X_8)),B),inverse(X_6)) )],[refute_0_287,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),multiply(inverse(X_68),double_divide(inverse(X_68),X_58))),X_67) = inverse(X_68),
inference(subst,[],[refute_0_303:[bind(B,$fot(X_67)),bind(X_6,$fot(X_68)),bind(X_7,$fot(X_69)),bind(X_8,$fot(double_divide(inverse(X_68),X_58)))]]) ).
cnf(refute_0_305,plain,
multiply(inverse(X_68),double_divide(inverse(X_68),X_58)) = inverse(X_58),
inference(subst,[],[refute_0_236:[bind(X_57,$fot(inverse(X_68)))]]) ).
cnf(refute_0_306,plain,
( multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),multiply(inverse(X_68),double_divide(inverse(X_68),X_58))),X_67) != inverse(X_68)
| multiply(inverse(X_68),double_divide(inverse(X_68),X_58)) != inverse(X_58)
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = inverse(X_68) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),multiply(inverse(X_68),double_divide(inverse(X_68),X_58))),X_67),inverse(X_68)) ),[0,0,1],$fot(inverse(X_58))]]) ).
cnf(refute_0_307,plain,
( multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),multiply(inverse(X_68),double_divide(inverse(X_68),X_58))),X_67) != inverse(X_68)
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = inverse(X_68) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),double_divide(inverse(X_68),X_58)),inverse(X_58)) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = inverse(X_68),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),multiply(inverse(X_68),double_divide(inverse(X_68),X_58))),X_67),inverse(X_68)) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
double_divide(inverse(X_68),X_58) = multiply(inverse(X_58),X_68),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(X_58)),bind(X_17,$fot(X_68))]]) ).
cnf(refute_0_310,plain,
multiply(X_67,double_divide(inverse(X_68),X_58)) = multiply(X_67,double_divide(inverse(X_68),X_58)),
introduced(tautology,[refl,[$fot(multiply(X_67,double_divide(inverse(X_68),X_58)))]]) ).
cnf(refute_0_311,plain,
( multiply(X_67,double_divide(inverse(X_68),X_58)) != multiply(X_67,double_divide(inverse(X_68),X_58))
| double_divide(inverse(X_68),X_58) != multiply(inverse(X_58),X_68)
| multiply(X_67,double_divide(inverse(X_68),X_58)) = multiply(X_67,multiply(inverse(X_58),X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_67,double_divide(inverse(X_68),X_58)),multiply(X_67,double_divide(inverse(X_68),X_58))) ),[1,1],$fot(multiply(inverse(X_58),X_68))]]) ).
cnf(refute_0_312,plain,
( double_divide(inverse(X_68),X_58) != multiply(inverse(X_58),X_68)
| multiply(X_67,double_divide(inverse(X_68),X_58)) = multiply(X_67,multiply(inverse(X_58),X_68)) ),
inference(resolve,[$cnf( $equal(multiply(X_67,double_divide(inverse(X_68),X_58)),multiply(X_67,double_divide(inverse(X_68),X_58))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(X_67,double_divide(inverse(X_68),X_58)) = multiply(X_67,multiply(inverse(X_58),X_68)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_68),X_58),multiply(inverse(X_58),X_68)) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_33,X_4) != double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)
| double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) = multiply(X_33,X_4) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_33,X_4))),bind(Y,$fot(double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)))]]) ).
cnf(refute_0_315,plain,
double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) = multiply(X_33,X_4),
inference(resolve,[$cnf( $equal(multiply(X_33,X_4),double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)) )],[refute_0_282,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) = multiply(X_67,double_divide(inverse(X_68),X_58)),
inference(subst,[],[refute_0_315:[bind(X_31,$fot(X_69)),bind(X_33,$fot(X_67)),bind(X_4,$fot(double_divide(inverse(X_68),X_58)))]]) ).
cnf(refute_0_317,plain,
( multiply(X_67,double_divide(inverse(X_68),X_58)) != multiply(X_67,multiply(inverse(X_58),X_68))
| double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) != multiply(X_67,double_divide(inverse(X_68),X_58))
| double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) = multiply(X_67,multiply(inverse(X_58),X_68)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))),bind(Y,$fot(multiply(X_67,double_divide(inverse(X_68),X_58)))),bind(Z,$fot(multiply(X_67,multiply(inverse(X_58),X_68))))]]) ).
cnf(refute_0_318,plain,
( multiply(X_67,double_divide(inverse(X_68),X_58)) != multiply(X_67,multiply(inverse(X_58),X_68))
| double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) = multiply(X_67,multiply(inverse(X_58),X_68)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69),multiply(X_67,double_divide(inverse(X_68),X_58))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) = multiply(X_67,multiply(inverse(X_58),X_68)),
inference(resolve,[$cnf( $equal(multiply(X_67,double_divide(inverse(X_68),X_58)),multiply(X_67,multiply(inverse(X_58),X_68))) )],[refute_0_313,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) = double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)),
introduced(tautology,[refl,[$fot(double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)))]]) ).
cnf(refute_0_321,plain,
( double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) != double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))
| double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) != multiply(X_67,multiply(inverse(X_58),X_68))
| double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)),double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))) ),[1,1],$fot(multiply(X_67,multiply(inverse(X_58),X_68)))]]) ).
cnf(refute_0_322,plain,
( double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69) != multiply(X_67,multiply(inverse(X_58),X_68))
| double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))) ),
inference(resolve,[$cnf( $equal(double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)),double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69),multiply(X_67,multiply(inverse(X_58),X_68))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) = double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)),
inference(subst,[],[refute_0_244:[bind(A,$fot(X_69)),bind(B,$fot(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)))),bind(X_61,$fot(X_58))]]) ).
cnf(refute_0_325,plain,
( multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) != double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))
| double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) != double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))
| multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)))),bind(Y,$fot(double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)))),bind(Z,$fot(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))))]]) ).
cnf(refute_0_326,plain,
( double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)) != double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))
| multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) = double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),
inference(resolve,[$cnf( $equal(double_divide(X_58,double_divide(double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58)),X_69)),double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67))]]) ).
cnf(refute_0_329,plain,
( multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) != double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) != multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67)
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67)) ),[1,0],$fot(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))))]]) ).
cnf(refute_0_330,plain,
( multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)) != double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) = multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67),
inference(resolve,[$cnf( $equal(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68)))) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) != multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67)
| multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) != inverse(X_68)
| multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67) = inverse(X_68) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),inverse(X_68)) ),[0],$fot(multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67))]]) ).
cnf(refute_0_333,plain,
( multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67) != inverse(X_68)
| multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67) = inverse(X_68) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),X_68))),X_67) = inverse(X_68),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_69,double_divide(multiply(X_69,X_67),double_divide(inverse(X_68),X_58))),inverse(X_58)),X_67),inverse(X_68)) )],[refute_0_308,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))))),X_67) = inverse(double_divide(multiply(X_90,X_91),inverse(X_58))),
inference(subst,[],[refute_0_334:[bind(X_68,$fot(double_divide(multiply(X_90,X_91),inverse(X_58))))]]) ).
cnf(refute_0_336,plain,
double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_337,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) ),[0,1,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_338,plain,
( double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))) != double_divide(B,A)
| double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(X_2,multiply(X_3,multiply(multiply(A,B),double_divide(X_2,X_3)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_3,multiply(inverse(double_divide(B,A)),double_divide(X_2,X_3)))),double_divide(B,A)) )],[refute_0_336,refute_0_338]) ).
cnf(refute_0_340,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))))))) = double_divide(B,A),
inference(subst,[],[refute_0_339:[bind(X_3,$fot(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54)))))]]) ).
cnf(refute_0_341,plain,
double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54)))) = double_divide(X_52,X_51),
inference(subst,[],[refute_0_339:[bind(A,$fot(X_51)),bind(B,$fot(X_52)),bind(X_3,$fot(X_54))]]) ).
cnf(refute_0_342,plain,
( double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54)))) != double_divide(X_52,X_51)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))))))) != double_divide(B,A)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_52,X_51)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))))))),double_divide(B,A)) ),[0,1,1,1],$fot(double_divide(X_52,X_51))]]) ).
cnf(refute_0_343,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))))))) != double_divide(B,A)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_52,X_51)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54)))),double_divide(X_52,X_51)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_52,X_51)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,B),double_divide(X_2,multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))))))),double_divide(B,A)) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)))) = double_divide(X_77,X_76),
inference(subst,[],[refute_0_344:[bind(A,$fot(X_76)),bind(B,$fot(X_77)),bind(X_2,$fot(X_78)),bind(X_51,$fot(X_79)),bind(X_52,$fot(multiply(X_76,X_77))),bind(X_54,$fot(X_81))]]) ).
cnf(refute_0_346,plain,
multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)) = inverse(X_79),
inference(subst,[],[refute_0_236:[bind(X_57,$fot(multiply(X_76,X_77))),bind(X_58,$fot(X_79))]]) ).
cnf(refute_0_347,plain,
( multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)) != inverse(X_79)
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)))) != double_divide(X_77,X_76)
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_77,X_76) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)))),double_divide(X_77,X_76)) ),[0,1,1],$fot(inverse(X_79))]]) ).
cnf(refute_0_348,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)))) != double_divide(X_77,X_76)
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_77,X_76) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)),inverse(X_79)) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_77,X_76),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),multiply(multiply(X_76,X_77),double_divide(multiply(X_76,X_77),X_79)))),double_divide(X_77,X_76)) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(X_59,double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) = inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))),
inference(subst,[],[refute_0_236:[bind(X_57,$fot(X_59)),bind(X_58,$fot(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))))]]) ).
cnf(refute_0_351,plain,
double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) = double_divide(B,A),
inference(subst,[],[refute_0_339:[bind(X_2,$fot(X_59))]]) ).
cnf(refute_0_352,plain,
( multiply(X_59,double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) != inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))
| double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) != double_divide(B,A)
| multiply(X_59,double_divide(B,A)) = inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))),inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) ),[0,1],$fot(double_divide(B,A))]]) ).
cnf(refute_0_353,plain,
( multiply(X_59,double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) != inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))
| multiply(X_59,double_divide(B,A)) = inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))),double_divide(B,A)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X_59,double_divide(B,A)) = inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))),
inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(X_59,multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))),inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) = double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3),
inference(subst,[],[refute_0_228:[bind(A,$fot(X_3)),bind(B,$fot(multiply(multiply(A,B),double_divide(X_59,X_3))))]]) ).
cnf(refute_0_356,plain,
( multiply(X_59,double_divide(B,A)) != inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))
| inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))) != double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)
| multiply(X_59,double_divide(B,A)) = double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_59,double_divide(B,A)),double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)) ),[0],$fot(inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))))]]) ).
cnf(refute_0_357,plain,
( multiply(X_59,double_divide(B,A)) != inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))
| multiply(X_59,double_divide(B,A)) = double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3)))),double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(X_59,double_divide(B,A)) = double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3),
inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(B,A)),inverse(multiply(X_3,multiply(multiply(A,B),double_divide(X_59,X_3))))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( multiply(X_59,double_divide(B,A)) != double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)
| double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3) = multiply(X_59,double_divide(B,A)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_59,double_divide(B,A)))),bind(Y,$fot(double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)))]]) ).
cnf(refute_0_360,plain,
double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3) = multiply(X_59,double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(B,A)),double_divide(multiply(multiply(A,B),double_divide(X_59,X_3)),X_3)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81) = multiply(X_78,double_divide(multiply(X_76,X_77),X_79)),
inference(subst,[],[refute_0_360:[bind(A,$fot(X_79)),bind(B,$fot(multiply(X_76,X_77))),bind(X_3,$fot(X_81)),bind(X_59,$fot(X_78))]]) ).
cnf(refute_0_362,plain,
double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) = double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)),
introduced(tautology,[refl,[$fot(double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)))]]) ).
cnf(refute_0_363,plain,
( double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) != double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81))
| double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81) != multiply(X_78,double_divide(multiply(X_76,X_77),X_79))
| double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)),double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81))) ),[1,1],$fot(multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))]]) ).
cnf(refute_0_364,plain,
( double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81) != multiply(X_78,double_divide(multiply(X_76,X_77),X_79))
| double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))) ),
inference(resolve,[$cnf( $equal(double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)),double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81),multiply(X_78,double_divide(multiply(X_76,X_77),X_79))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) = double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)),
inference(subst,[],[refute_0_244:[bind(A,$fot(X_81)),bind(B,$fot(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)))),bind(X_61,$fot(X_79))]]) ).
cnf(refute_0_367,plain,
( multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) != double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81))
| double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) != double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))
| multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)))),bind(Y,$fot(double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)))),bind(Z,$fot(double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))))]]) ).
cnf(refute_0_368,plain,
( double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)) != double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))
| multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)),double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) = double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))),
inference(resolve,[$cnf( $equal(double_divide(X_79,double_divide(multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81)),X_81)),double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),
introduced(tautology,[refl,[$fot(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))))]]) ).
cnf(refute_0_371,plain,
( multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) != double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) != double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)))) ),[1,1],$fot(double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))))]]) ).
cnf(refute_0_372,plain,
( multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)) != double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) = double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79)),double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) != double_divide(X_77,X_76)
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) != double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))))
| double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) = double_divide(X_77,X_76) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),double_divide(X_77,X_76)) ),[0],$fot(double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))))]]) ).
cnf(refute_0_375,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))) != double_divide(X_77,X_76)
| double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) = double_divide(X_77,X_76) ),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79))))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
double_divide(X_78,double_divide(X_79,multiply(X_78,double_divide(multiply(X_76,X_77),X_79)))) = double_divide(X_77,X_76),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,multiply(X_76,X_77)),double_divide(X_78,X_81))),inverse(X_79))),double_divide(X_77,X_76)) )],[refute_0_349,refute_0_375]) ).
cnf(refute_0_377,plain,
double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)))) = double_divide(X_87,X_86),
inference(subst,[],[refute_0_376:[bind(X_76,$fot(X_86)),bind(X_77,$fot(X_87)),bind(X_78,$fot(inverse(double_divide(multiply(X_86,X_87),X_89)))),bind(X_79,$fot(X_89))]]) ).
cnf(refute_0_378,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,inverse(A)),double_divide(X_52,X_51)))) = double_divide(inverse(A),A),
inference(subst,[],[refute_0_344:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_379,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(inverse(X_77),X_77),double_divide(X_80,X_79)))) = double_divide(X_77,inverse(X_77)),
inference(subst,[],[refute_0_344:[bind(A,$fot(inverse(X_77))),bind(B,$fot(X_77)),bind(X_2,$fot(X_78)),bind(X_51,$fot(X_79)),bind(X_52,$fot(X_80)),bind(X_54,$fot(X_81))]]) ).
cnf(refute_0_380,plain,
double_divide(inverse(X_12),inverse(inverse(X_12))) = multiply(inverse(X_12),X_12),
inference(subst,[],[refute_0_58:[bind(X_17,$fot(X_12))]]) ).
cnf(refute_0_381,plain,
double_divide(inverse(X_12),inverse(inverse(X_12))) = double_divide(X_36,inverse(X_36)),
inference(subst,[],[refute_0_108:[bind(B,$fot(X_36)),bind(X_13,$fot(inverse(X_12)))]]) ).
cnf(refute_0_382,plain,
( double_divide(inverse(X_12),inverse(inverse(X_12))) != multiply(inverse(X_12),X_12)
| double_divide(inverse(X_12),inverse(inverse(X_12))) != double_divide(X_36,inverse(X_36))
| double_divide(X_36,inverse(X_36)) = multiply(inverse(X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),multiply(inverse(X_12),X_12)) ),[0],$fot(double_divide(X_36,inverse(X_36)))]]) ).
cnf(refute_0_383,plain,
( double_divide(inverse(X_12),inverse(inverse(X_12))) != multiply(inverse(X_12),X_12)
| double_divide(X_36,inverse(X_36)) = multiply(inverse(X_12),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),double_divide(X_36,inverse(X_36))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
double_divide(X_36,inverse(X_36)) = multiply(inverse(X_12),X_12),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),multiply(inverse(X_12),X_12)) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
double_divide(inverse(X_12),inverse(inverse(X_12))) = multiply(inverse(X_38),X_38),
inference(subst,[],[refute_0_384:[bind(X_12,$fot(X_38)),bind(X_36,$fot(inverse(X_12)))]]) ).
cnf(refute_0_386,plain,
( double_divide(inverse(X_12),inverse(inverse(X_12))) != multiply(inverse(X_12),X_12)
| double_divide(inverse(X_12),inverse(inverse(X_12))) != multiply(inverse(X_38),X_38)
| multiply(inverse(X_38),X_38) = multiply(inverse(X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),multiply(inverse(X_12),X_12)) ),[0],$fot(multiply(inverse(X_38),X_38))]]) ).
cnf(refute_0_387,plain,
( double_divide(inverse(X_12),inverse(inverse(X_12))) != multiply(inverse(X_12),X_12)
| multiply(inverse(X_38),X_38) = multiply(inverse(X_12),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),multiply(inverse(X_38),X_38)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(inverse(X_38),X_38) = multiply(inverse(X_12),X_12),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),multiply(inverse(X_12),X_12)) )],[refute_0_380,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(inverse(B),B) = inverse(double_divide(B,inverse(B))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_390,plain,
double_divide(B,inverse(B)) = multiply(inverse(X_38),X_38),
inference(subst,[],[refute_0_384:[bind(X_12,$fot(X_38)),bind(X_36,$fot(B))]]) ).
cnf(refute_0_391,plain,
( multiply(inverse(B),B) != inverse(double_divide(B,inverse(B)))
| double_divide(B,inverse(B)) != multiply(inverse(X_38),X_38)
| multiply(inverse(B),B) = inverse(multiply(inverse(X_38),X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(B,inverse(B)))) ),[1,0],$fot(multiply(inverse(X_38),X_38))]]) ).
cnf(refute_0_392,plain,
( multiply(inverse(B),B) != inverse(double_divide(B,inverse(B)))
| multiply(inverse(B),B) = inverse(multiply(inverse(X_38),X_38)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(B)),multiply(inverse(X_38),X_38)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(inverse(B),B) = inverse(multiply(inverse(X_38),X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(double_divide(B,inverse(B)))) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
inverse(multiply(inverse(X_21),X_22)) = double_divide(X_22,inverse(X_21)),
inference(subst,[],[refute_0_228:[bind(A,$fot(inverse(X_21))),bind(B,$fot(X_22))]]) ).
cnf(refute_0_395,plain,
( multiply(X_21,inverse(X_22)) != inverse(multiply(inverse(X_21),X_22))
| inverse(multiply(inverse(X_21),X_22)) != double_divide(X_22,inverse(X_21))
| multiply(X_21,inverse(X_22)) = double_divide(X_22,inverse(X_21)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,inverse(X_22)),double_divide(X_22,inverse(X_21))) ),[0],$fot(inverse(multiply(inverse(X_21),X_22)))]]) ).
cnf(refute_0_396,plain,
( multiply(X_21,inverse(X_22)) != inverse(multiply(inverse(X_21),X_22))
| multiply(X_21,inverse(X_22)) = double_divide(X_22,inverse(X_21)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_21),X_22)),double_divide(X_22,inverse(X_21))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(X_21,inverse(X_22)) = double_divide(X_22,inverse(X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(X_22)),inverse(multiply(inverse(X_21),X_22))) )],[refute_0_175,refute_0_396]) ).
cnf(refute_0_398,plain,
( multiply(X_21,inverse(X_22)) != double_divide(X_22,inverse(X_21))
| double_divide(X_22,inverse(X_21)) = multiply(X_21,inverse(X_22)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_21,inverse(X_22)))),bind(Y,$fot(double_divide(X_22,inverse(X_21))))]]) ).
cnf(refute_0_399,plain,
double_divide(X_22,inverse(X_21)) = multiply(X_21,inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(X_22)),double_divide(X_22,inverse(X_21))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
double_divide(X_38,inverse(X_38)) = multiply(X_38,inverse(X_38)),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_38)),bind(X_22,$fot(X_38))]]) ).
cnf(refute_0_401,plain,
inverse(multiply(inverse(X_38),X_38)) = double_divide(X_38,inverse(X_38)),
inference(subst,[],[refute_0_228:[bind(A,$fot(inverse(X_38))),bind(B,$fot(X_38))]]) ).
cnf(refute_0_402,plain,
( double_divide(X_38,inverse(X_38)) != multiply(X_38,inverse(X_38))
| inverse(multiply(inverse(X_38),X_38)) != double_divide(X_38,inverse(X_38))
| inverse(multiply(inverse(X_38),X_38)) = multiply(X_38,inverse(X_38)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(inverse(X_38),X_38)))),bind(Y,$fot(double_divide(X_38,inverse(X_38)))),bind(Z,$fot(multiply(X_38,inverse(X_38))))]]) ).
cnf(refute_0_403,plain,
( double_divide(X_38,inverse(X_38)) != multiply(X_38,inverse(X_38))
| inverse(multiply(inverse(X_38),X_38)) = multiply(X_38,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_38),X_38)),double_divide(X_38,inverse(X_38))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
inverse(multiply(inverse(X_38),X_38)) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(double_divide(X_38,inverse(X_38)),multiply(X_38,inverse(X_38))) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
( multiply(inverse(B),B) != inverse(multiply(inverse(X_38),X_38))
| inverse(multiply(inverse(X_38),X_38)) != multiply(X_38,inverse(X_38))
| multiply(inverse(B),B) = multiply(X_38,inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(B),B),multiply(X_38,inverse(X_38))) ),[0],$fot(inverse(multiply(inverse(X_38),X_38)))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(B),B) != inverse(multiply(inverse(X_38),X_38))
| multiply(inverse(B),B) = multiply(X_38,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_38),X_38)),multiply(X_38,inverse(X_38))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(inverse(B),B) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(multiply(inverse(X_38),X_38))) )],[refute_0_393,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(inverse(X_38),X_38) = multiply(X_38,inverse(X_38)),
inference(subst,[],[refute_0_407:[bind(B,$fot(X_38))]]) ).
cnf(refute_0_409,plain,
( multiply(inverse(X_38),X_38) != multiply(X_38,inverse(X_38))
| multiply(inverse(X_38),X_38) != multiply(inverse(X_12),X_12)
| multiply(X_38,inverse(X_38)) = multiply(inverse(X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_38),X_38),multiply(inverse(X_12),X_12)) ),[0],$fot(multiply(X_38,inverse(X_38)))]]) ).
cnf(refute_0_410,plain,
( multiply(inverse(X_38),X_38) != multiply(inverse(X_12),X_12)
| multiply(X_38,inverse(X_38)) = multiply(inverse(X_12),X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),X_38),multiply(X_38,inverse(X_38))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(X_38,inverse(X_38)) = multiply(inverse(X_12),X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),X_38),multiply(inverse(X_12),X_12)) )],[refute_0_388,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(X_38,inverse(X_38)) = multiply(inverse(X_77),X_77),
inference(subst,[],[refute_0_411:[bind(X_12,$fot(X_77))]]) ).
cnf(refute_0_413,plain,
( multiply(X_38,inverse(X_38)) != multiply(inverse(X_77),X_77)
| multiply(inverse(X_77),X_77) = multiply(X_38,inverse(X_38)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_38,inverse(X_38)))),bind(Y,$fot(multiply(inverse(X_77),X_77)))]]) ).
cnf(refute_0_414,plain,
multiply(inverse(X_77),X_77) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(multiply(X_38,inverse(X_38)),multiply(inverse(X_77),X_77)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(inverse(X_77),X_77) != multiply(X_38,inverse(X_38))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(inverse(X_77),X_77),double_divide(X_80,X_79)))) != double_divide(X_77,inverse(X_77))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = double_divide(X_77,inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(inverse(X_77),X_77),double_divide(X_80,X_79)))),double_divide(X_77,inverse(X_77))) ),[0,1,1,0],$fot(multiply(X_38,inverse(X_38)))]]) ).
cnf(refute_0_416,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(inverse(X_77),X_77),double_divide(X_80,X_79)))) != double_divide(X_77,inverse(X_77))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = double_divide(X_77,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_77),X_77),multiply(X_38,inverse(X_38))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = double_divide(X_77,inverse(X_77)),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(inverse(X_77),X_77),double_divide(X_80,X_79)))),double_divide(X_77,inverse(X_77))) )],[refute_0_379,refute_0_416]) ).
cnf(refute_0_418,plain,
double_divide(inverse(X_38),X_38) = multiply(inverse(X_38),X_38),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(X_38)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_419,plain,
( multiply(inverse(X_38),X_38) != multiply(X_38,inverse(X_38))
| double_divide(inverse(X_38),X_38) != multiply(inverse(X_38),X_38)
| double_divide(inverse(X_38),X_38) = multiply(X_38,inverse(X_38)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(X_38),X_38))),bind(Y,$fot(multiply(inverse(X_38),X_38))),bind(Z,$fot(multiply(X_38,inverse(X_38))))]]) ).
cnf(refute_0_420,plain,
( multiply(inverse(X_38),X_38) != multiply(X_38,inverse(X_38))
| double_divide(inverse(X_38),X_38) = multiply(X_38,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_38),X_38),multiply(inverse(X_38),X_38)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
double_divide(inverse(X_38),X_38) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_38),X_38),multiply(X_38,inverse(X_38))) )],[refute_0_408,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = double_divide(inverse(X_38),X_38),
inference(subst,[],[refute_0_344:[bind(A,$fot(X_38)),bind(B,$fot(inverse(X_38))),bind(X_2,$fot(X_78)),bind(X_51,$fot(X_79)),bind(X_52,$fot(X_80)),bind(X_54,$fot(X_81))]]) ).
cnf(refute_0_423,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) != double_divide(inverse(X_38),X_38)
| double_divide(inverse(X_38),X_38) != multiply(X_38,inverse(X_38))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = multiply(X_38,inverse(X_38)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))))),bind(Y,$fot(double_divide(inverse(X_38),X_38))),bind(Z,$fot(multiply(X_38,inverse(X_38))))]]) ).
cnf(refute_0_424,plain,
( double_divide(inverse(X_38),X_38) != multiply(X_38,inverse(X_38))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = multiply(X_38,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))),double_divide(inverse(X_38),X_38)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_38),X_38),multiply(X_38,inverse(X_38))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) != multiply(X_38,inverse(X_38))
| double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) != double_divide(X_77,inverse(X_77))
| multiply(X_38,inverse(X_38)) = double_divide(X_77,inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))),double_divide(X_77,inverse(X_77))) ),[0],$fot(multiply(X_38,inverse(X_38)))]]) ).
cnf(refute_0_427,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) != double_divide(X_77,inverse(X_77))
| multiply(X_38,inverse(X_38)) = double_divide(X_77,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))),multiply(X_38,inverse(X_38))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
double_divide(X_77,inverse(X_77)) = multiply(X_77,inverse(X_77)),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_77)),bind(X_22,$fot(X_77))]]) ).
cnf(refute_0_429,plain,
( multiply(X_38,inverse(X_38)) != double_divide(X_77,inverse(X_77))
| double_divide(X_77,inverse(X_77)) != multiply(X_77,inverse(X_77))
| multiply(X_38,inverse(X_38)) = multiply(X_77,inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_38,inverse(X_38)),multiply(X_77,inverse(X_77))) ),[0],$fot(double_divide(X_77,inverse(X_77)))]]) ).
cnf(refute_0_430,plain,
( multiply(X_38,inverse(X_38)) != double_divide(X_77,inverse(X_77))
| multiply(X_38,inverse(X_38)) = multiply(X_77,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(double_divide(X_77,inverse(X_77)),multiply(X_77,inverse(X_77))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
( double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))) != double_divide(X_77,inverse(X_77))
| multiply(X_38,inverse(X_38)) = multiply(X_77,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(multiply(X_38,inverse(X_38)),double_divide(X_77,inverse(X_77))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(X_38,inverse(X_38)) = multiply(X_77,inverse(X_77)),
inference(resolve,[$cnf( $equal(double_divide(X_78,multiply(multiply(X_81,multiply(multiply(X_79,X_80),double_divide(X_78,X_81))),multiply(multiply(X_38,inverse(X_38)),double_divide(X_80,X_79)))),double_divide(X_77,inverse(X_77))) )],[refute_0_417,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(A,inverse(A)) = multiply(X_83,inverse(X_83)),
inference(subst,[],[refute_0_432:[bind(X_38,$fot(A)),bind(X_77,$fot(X_83))]]) ).
cnf(refute_0_434,plain,
( multiply(A,inverse(A)) != multiply(X_83,inverse(X_83))
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,inverse(A)),double_divide(X_52,X_51)))) != double_divide(inverse(A),A)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = double_divide(inverse(A),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,inverse(A)),double_divide(X_52,X_51)))),double_divide(inverse(A),A)) ),[0,1,1,0],$fot(multiply(X_83,inverse(X_83)))]]) ).
cnf(refute_0_435,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,inverse(A)),double_divide(X_52,X_51)))) != double_divide(inverse(A),A)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = double_divide(inverse(A),A) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),multiply(X_83,inverse(X_83))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = double_divide(inverse(A),A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(A,inverse(A)),double_divide(X_52,X_51)))),double_divide(inverse(A),A)) )],[refute_0_378,refute_0_435]) ).
cnf(refute_0_437,plain,
double_divide(inverse(X_83),X_83) = multiply(inverse(X_83),X_83),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(X_83)),bind(X_17,$fot(X_83))]]) ).
cnf(refute_0_438,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = double_divide(inverse(X_83),X_83),
inference(subst,[],[refute_0_344:[bind(A,$fot(X_83)),bind(B,$fot(inverse(X_83)))]]) ).
cnf(refute_0_439,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) != double_divide(inverse(X_83),X_83)
| double_divide(inverse(X_83),X_83) != multiply(inverse(X_83),X_83)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = multiply(inverse(X_83),X_83) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))))),bind(Y,$fot(double_divide(inverse(X_83),X_83))),bind(Z,$fot(multiply(inverse(X_83),X_83)))]]) ).
cnf(refute_0_440,plain,
( double_divide(inverse(X_83),X_83) != multiply(inverse(X_83),X_83)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = multiply(inverse(X_83),X_83) ),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))),double_divide(inverse(X_83),X_83)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) = multiply(inverse(X_83),X_83),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_83),X_83),multiply(inverse(X_83),X_83)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) != multiply(inverse(X_83),X_83)
| double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) != double_divide(inverse(A),A)
| multiply(inverse(X_83),X_83) = double_divide(inverse(A),A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))),double_divide(inverse(A),A)) ),[0],$fot(multiply(inverse(X_83),X_83))]]) ).
cnf(refute_0_443,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) != double_divide(inverse(A),A)
| multiply(inverse(X_83),X_83) = double_divide(inverse(A),A) ),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))),multiply(inverse(X_83),X_83)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
double_divide(inverse(A),A) = multiply(inverse(A),A),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(A)),bind(X_17,$fot(A))]]) ).
cnf(refute_0_445,plain,
( multiply(inverse(X_83),X_83) != double_divide(inverse(A),A)
| double_divide(inverse(A),A) != multiply(inverse(A),A)
| multiply(inverse(X_83),X_83) = multiply(inverse(A),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_83),X_83),multiply(inverse(A),A)) ),[0],$fot(double_divide(inverse(A),A))]]) ).
cnf(refute_0_446,plain,
( multiply(inverse(X_83),X_83) != double_divide(inverse(A),A)
| multiply(inverse(X_83),X_83) = multiply(inverse(A),A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(A),A),multiply(inverse(A),A)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
( double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))) != double_divide(inverse(A),A)
| multiply(inverse(X_83),X_83) = multiply(inverse(A),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_83),X_83),double_divide(inverse(A),A)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(inverse(X_83),X_83) = multiply(inverse(A),A),
inference(resolve,[$cnf( $equal(double_divide(X_2,multiply(multiply(X_54,multiply(multiply(X_51,X_52),double_divide(X_2,X_54))),multiply(multiply(X_83,inverse(X_83)),double_divide(X_52,X_51)))),double_divide(inverse(A),A)) )],[refute_0_436,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(inverse(X_83),X_83) = multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)),
inference(subst,[],[refute_0_448:[bind(A,$fot(double_divide(multiply(X_86,X_87),X_89)))]]) ).
cnf(refute_0_450,plain,
( multiply(inverse(X_83),X_83) != multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89))
| multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)) = multiply(inverse(X_83),X_83) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_83),X_83))),bind(Y,$fot(multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89))))]]) ).
cnf(refute_0_451,plain,
multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)) = multiply(inverse(X_83),X_83),
inference(resolve,[$cnf( $equal(multiply(inverse(X_83),X_83),multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
( multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)) != multiply(inverse(X_83),X_83)
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)))) != double_divide(X_87,X_86)
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(X_87,X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)))),double_divide(X_87,X_86)) ),[0,1,1],$fot(multiply(inverse(X_83),X_83))]]) ).
cnf(refute_0_453,plain,
( double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)))) != double_divide(X_87,X_86)
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(X_87,X_86) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)),multiply(inverse(X_83),X_83)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(X_87,X_86),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_86,X_87),X_89)))),double_divide(X_87,X_86)) )],[refute_0_377,refute_0_453]) ).
cnf(refute_0_455,plain,
inverse(multiply(X_89,multiply(X_86,X_87))) = double_divide(multiply(X_86,X_87),X_89),
inference(subst,[],[refute_0_228:[bind(A,$fot(X_89)),bind(B,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_456,plain,
multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) = multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))),
introduced(tautology,[refl,[$fot(multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))))]]) ).
cnf(refute_0_457,plain,
( multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) != multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87))))
| inverse(multiply(X_89,multiply(X_86,X_87))) != double_divide(multiply(X_86,X_87),X_89)
| multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))),multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87))))) ),[1,1],$fot(double_divide(multiply(X_86,X_87),X_89))]]) ).
cnf(refute_0_458,plain,
( inverse(multiply(X_89,multiply(X_86,X_87))) != double_divide(multiply(X_86,X_87),X_89)
| multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))),multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87))))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,multiply(X_86,X_87))),double_divide(multiply(X_86,X_87),X_89)) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) = multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_89)),bind(X_22,$fot(multiply(X_89,multiply(X_86,X_87))))]]) ).
cnf(refute_0_461,plain,
( multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) != multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87))))
| double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)))),bind(Y,$fot(multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))))),bind(Z,$fot(multiply(X_89,double_divide(multiply(X_86,X_87),X_89))))]]) ).
cnf(refute_0_462,plain,
( multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)),multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87))))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_89,multiply(X_86,X_87)))),multiply(X_89,double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
double_divide(multiply(multiply(multiply(inverse(X_35),X_35),B),X_13),inverse(X_13)) = double_divide(B,multiply(inverse(X_35),X_35)),
inference(subst,[],[refute_0_67:[bind(A,$fot(multiply(inverse(X_35),X_35)))]]) ).
cnf(refute_0_465,plain,
multiply(multiply(inverse(X_35),X_35),B) = B,
inference(subst,[],[refute_0_104:[bind(C,$fot(B)),bind(X_4,$fot(X_35))]]) ).
cnf(refute_0_466,plain,
( multiply(multiply(inverse(X_35),X_35),B) != B
| double_divide(multiply(multiply(multiply(inverse(X_35),X_35),B),X_13),inverse(X_13)) != double_divide(B,multiply(inverse(X_35),X_35))
| double_divide(multiply(B,X_13),inverse(X_13)) = double_divide(B,multiply(inverse(X_35),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(X_35),X_35),B),X_13),inverse(X_13)),double_divide(B,multiply(inverse(X_35),X_35))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_467,plain,
( double_divide(multiply(multiply(multiply(inverse(X_35),X_35),B),X_13),inverse(X_13)) != double_divide(B,multiply(inverse(X_35),X_35))
| double_divide(multiply(B,X_13),inverse(X_13)) = double_divide(B,multiply(inverse(X_35),X_35)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_35),X_35),B),B) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
double_divide(multiply(B,X_13),inverse(X_13)) = double_divide(B,multiply(inverse(X_35),X_35)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(X_35),X_35),B),X_13),inverse(X_13)),double_divide(B,multiply(inverse(X_35),X_35))) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
inverse(multiply(B,X_13)) = double_divide(X_13,B),
inference(subst,[],[refute_0_228:[bind(A,$fot(B)),bind(B,$fot(X_13))]]) ).
cnf(refute_0_470,plain,
multiply(X_13,inverse(multiply(B,X_13))) = multiply(X_13,inverse(multiply(B,X_13))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(multiply(B,X_13))))]]) ).
cnf(refute_0_471,plain,
( multiply(X_13,inverse(multiply(B,X_13))) != multiply(X_13,inverse(multiply(B,X_13)))
| inverse(multiply(B,X_13)) != double_divide(X_13,B)
| multiply(X_13,inverse(multiply(B,X_13))) = multiply(X_13,double_divide(X_13,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(multiply(B,X_13))),multiply(X_13,inverse(multiply(B,X_13)))) ),[1,1],$fot(double_divide(X_13,B))]]) ).
cnf(refute_0_472,plain,
( inverse(multiply(B,X_13)) != double_divide(X_13,B)
| multiply(X_13,inverse(multiply(B,X_13))) = multiply(X_13,double_divide(X_13,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(B,X_13))),multiply(X_13,inverse(multiply(B,X_13)))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(X_13,inverse(multiply(B,X_13))) = multiply(X_13,double_divide(X_13,B)),
inference(resolve,[$cnf( $equal(inverse(multiply(B,X_13)),double_divide(X_13,B)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
double_divide(multiply(B,X_13),inverse(X_13)) = multiply(X_13,inverse(multiply(B,X_13))),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_13)),bind(X_22,$fot(multiply(B,X_13)))]]) ).
cnf(refute_0_475,plain,
( multiply(X_13,inverse(multiply(B,X_13))) != multiply(X_13,double_divide(X_13,B))
| double_divide(multiply(B,X_13),inverse(X_13)) != multiply(X_13,inverse(multiply(B,X_13)))
| double_divide(multiply(B,X_13),inverse(X_13)) = multiply(X_13,double_divide(X_13,B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(B,X_13),inverse(X_13)))),bind(Y,$fot(multiply(X_13,inverse(multiply(B,X_13))))),bind(Z,$fot(multiply(X_13,double_divide(X_13,B))))]]) ).
cnf(refute_0_476,plain,
( multiply(X_13,inverse(multiply(B,X_13))) != multiply(X_13,double_divide(X_13,B))
| double_divide(multiply(B,X_13),inverse(X_13)) = multiply(X_13,double_divide(X_13,B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(B,X_13),inverse(X_13)),multiply(X_13,inverse(multiply(B,X_13)))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
double_divide(multiply(B,X_13),inverse(X_13)) = multiply(X_13,double_divide(X_13,B)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(B,X_13))),multiply(X_13,double_divide(X_13,B))) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
( double_divide(multiply(B,X_13),inverse(X_13)) != multiply(X_13,double_divide(X_13,B))
| double_divide(multiply(B,X_13),inverse(X_13)) != double_divide(B,multiply(inverse(X_35),X_35))
| multiply(X_13,double_divide(X_13,B)) = double_divide(B,multiply(inverse(X_35),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(B,X_13),inverse(X_13)),double_divide(B,multiply(inverse(X_35),X_35))) ),[0],$fot(multiply(X_13,double_divide(X_13,B)))]]) ).
cnf(refute_0_479,plain,
( double_divide(multiply(B,X_13),inverse(X_13)) != double_divide(B,multiply(inverse(X_35),X_35))
| multiply(X_13,double_divide(X_13,B)) = double_divide(B,multiply(inverse(X_35),X_35)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(B,X_13),inverse(X_13)),multiply(X_13,double_divide(X_13,B))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(X_13,double_divide(X_13,B)) = double_divide(B,multiply(inverse(X_35),X_35)),
inference(resolve,[$cnf( $equal(double_divide(multiply(B,X_13),inverse(X_13)),double_divide(B,multiply(inverse(X_35),X_35))) )],[refute_0_468,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X_13,double_divide(X_13,B)) = inverse(B),
inference(subst,[],[refute_0_236:[bind(X_57,$fot(X_13)),bind(X_58,$fot(B))]]) ).
cnf(refute_0_482,plain,
( multiply(X_13,double_divide(X_13,B)) != double_divide(B,multiply(inverse(X_35),X_35))
| multiply(X_13,double_divide(X_13,B)) != inverse(B)
| inverse(B) = double_divide(B,multiply(inverse(X_35),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,double_divide(X_13,B)),double_divide(B,multiply(inverse(X_35),X_35))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_483,plain,
( multiply(X_13,double_divide(X_13,B)) != double_divide(B,multiply(inverse(X_35),X_35))
| inverse(B) = double_divide(B,multiply(inverse(X_35),X_35)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(X_13,B)),inverse(B)) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
inverse(B) = double_divide(B,multiply(inverse(X_35),X_35)),
inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(X_13,B)),double_divide(B,multiply(inverse(X_35),X_35))) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
( inverse(B) != double_divide(B,multiply(inverse(X_35),X_35))
| double_divide(B,multiply(inverse(X_35),X_35)) = inverse(B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(B))),bind(Y,$fot(double_divide(B,multiply(inverse(X_35),X_35))))]]) ).
cnf(refute_0_486,plain,
double_divide(B,multiply(inverse(X_35),X_35)) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(B),double_divide(B,multiply(inverse(X_35),X_35))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
double_divide(X_89,multiply(inverse(X_83),X_83)) = inverse(X_89),
inference(subst,[],[refute_0_486:[bind(B,$fot(X_89)),bind(X_35,$fot(X_83))]]) ).
cnf(refute_0_488,plain,
double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))))]]) ).
cnf(refute_0_489,plain,
( double_divide(X_89,multiply(inverse(X_83),X_83)) != inverse(X_89)
| double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) != double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))
| double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))) ),[1,1],$fot(inverse(X_89))]]) ).
cnf(refute_0_490,plain,
( double_divide(X_89,multiply(inverse(X_83),X_83)) != inverse(X_89)
| double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)),
inference(resolve,[$cnf( $equal(double_divide(X_89,multiply(inverse(X_83),X_83)),inverse(X_89)) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) != double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89))
| double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))))),bind(Y,$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)))),bind(Z,$fot(multiply(X_89,double_divide(multiply(X_86,X_87),X_89))))]]) ).
cnf(refute_0_493,plain,
( double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),inverse(X_89)),multiply(X_89,double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_463,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)) = double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),
inference(subst,[],[refute_0_220:[bind(A,$fot(X_89)),bind(B,$fot(multiply(X_86,X_87))),bind(X_21,$fot(double_divide(X_89,multiply(inverse(X_83),X_83))))]]) ).
cnf(refute_0_496,plain,
double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(double_divide(X_89,multiply(inverse(X_83),X_83)))),bind(X_17,$fot(double_divide(multiply(X_86,X_87),X_89)))]]) ).
cnf(refute_0_497,plain,
( multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)) != double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) != multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))))),bind(Y,$fot(multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)))),bind(Z,$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))))]]) ).
cnf(refute_0_498,plain,
( multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)) != double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))),multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_86,X_87),X_89)),double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))) )],[refute_0_495,refute_0_498]) ).
cnf(refute_0_500,plain,
( double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) != double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))))),bind(Y,$fot(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))))),bind(Z,$fot(multiply(X_89,double_divide(multiply(X_86,X_87),X_89))))]]) ).
cnf(refute_0_501,plain,
( double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83)))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) = multiply(X_89,double_divide(multiply(X_86,X_87),X_89)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_89,multiply(X_86,X_87)),double_divide(X_89,multiply(inverse(X_83),X_83))),multiply(X_89,double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_494,refute_0_501]) ).
cnf(refute_0_503,plain,
( double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) != multiply(X_89,double_divide(multiply(X_86,X_87),X_89))
| double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) != double_divide(X_87,X_86)
| multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) = double_divide(X_87,X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(X_87,X_86)) ),[0],$fot(multiply(X_89,double_divide(multiply(X_86,X_87),X_89)))]]) ).
cnf(refute_0_504,plain,
( double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))) != double_divide(X_87,X_86)
| multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) = double_divide(X_87,X_86) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))),multiply(X_89,double_divide(multiply(X_86,X_87),X_89))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(X_89,double_divide(multiply(X_86,X_87),X_89)) = double_divide(X_87,X_86),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(multiply(X_86,X_87),X_89)),double_divide(X_89,multiply(inverse(X_83),X_83))),double_divide(X_87,X_86)) )],[refute_0_454,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))) = double_divide(X_91,X_90),
inference(subst,[],[refute_0_505:[bind(X_86,$fot(X_90)),bind(X_87,$fot(X_91)),bind(X_89,$fot(inverse(X_58)))]]) ).
cnf(refute_0_507,plain,
( multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))))),X_67) != inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))
| multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))) != double_divide(X_91,X_90)
| multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))))),X_67),inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))) ),[0,0,1,1],$fot(double_divide(X_91,X_90))]]) ).
cnf(refute_0_508,plain,
( multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))))),X_67) != inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))
| multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))),double_divide(X_91,X_90)) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = inverse(double_divide(multiply(X_90,X_91),inverse(X_58))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),double_divide(multiply(X_90,X_91),inverse(X_58))))),X_67),inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))) )],[refute_0_335,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(inverse(X_62),inverse(double_divide(B,A))) = double_divide(double_divide(B,A),X_62),
inference(subst,[],[refute_0_240:[bind(X_56,$fot(double_divide(B,A))),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_511,plain,
( multiply(inverse(X_62),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_62)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_62),multiply(A,B)) = double_divide(double_divide(B,A),X_62) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_62),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_62)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(X_62),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_62)
| multiply(inverse(X_62),multiply(A,B)) = double_divide(double_divide(B,A),X_62) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(inverse(X_62),multiply(A,B)) = double_divide(double_divide(B,A),X_62),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_62)) )],[refute_0_510,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(inverse(X_58),multiply(X_90,X_91)) = double_divide(double_divide(X_91,X_90),X_58),
inference(subst,[],[refute_0_513:[bind(A,$fot(X_90)),bind(B,$fot(X_91)),bind(X_62,$fot(X_58))]]) ).
cnf(refute_0_515,plain,
inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) = multiply(inverse(X_58),multiply(X_90,X_91)),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(X_58))),bind(B,$fot(multiply(X_90,X_91)))]]) ).
cnf(refute_0_516,plain,
( multiply(inverse(X_58),multiply(X_90,X_91)) != double_divide(double_divide(X_91,X_90),X_58)
| inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) != multiply(inverse(X_58),multiply(X_90,X_91))
| inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) = double_divide(double_divide(X_91,X_90),X_58) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(multiply(X_90,X_91),inverse(X_58))))),bind(Y,$fot(multiply(inverse(X_58),multiply(X_90,X_91)))),bind(Z,$fot(double_divide(double_divide(X_91,X_90),X_58)))]]) ).
cnf(refute_0_517,plain,
( multiply(inverse(X_58),multiply(X_90,X_91)) != double_divide(double_divide(X_91,X_90),X_58)
| inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) = double_divide(double_divide(X_91,X_90),X_58) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_90,X_91),inverse(X_58))),multiply(inverse(X_58),multiply(X_90,X_91))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) = double_divide(double_divide(X_91,X_90),X_58),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X_90,X_91)),double_divide(double_divide(X_91,X_90),X_58)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) != inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))
| inverse(double_divide(multiply(X_90,X_91),inverse(X_58))) != double_divide(double_divide(X_91,X_90),X_58)
| multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = double_divide(double_divide(X_91,X_90),X_58) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67),double_divide(double_divide(X_91,X_90),X_58)) ),[0],$fot(inverse(double_divide(multiply(X_90,X_91),inverse(X_58))))]]) ).
cnf(refute_0_520,plain,
( multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) != inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))
| multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = double_divide(double_divide(X_91,X_90),X_58) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_90,X_91),inverse(X_58))),double_divide(double_divide(X_91,X_90),X_58)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = double_divide(double_divide(X_91,X_90),X_58),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67),inverse(double_divide(multiply(X_90,X_91),inverse(X_58)))) )],[refute_0_509,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))))),X_67) = inverse(multiply(X_101,inverse(inverse(X_58)))),
inference(subst,[],[refute_0_334:[bind(X_68,$fot(multiply(X_101,inverse(inverse(X_58)))))]]) ).
cnf(refute_0_523,plain,
double_divide(X_12,inverse(X_4)) = multiply(X_4,inverse(X_12)),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_4)),bind(X_22,$fot(X_12))]]) ).
cnf(refute_0_524,plain,
inverse(multiply(inverse(X_4),X_12)) = double_divide(X_12,inverse(X_4)),
inference(subst,[],[refute_0_228:[bind(A,$fot(inverse(X_4))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_525,plain,
( double_divide(X_12,inverse(X_4)) != multiply(X_4,inverse(X_12))
| inverse(multiply(inverse(X_4),X_12)) != double_divide(X_12,inverse(X_4))
| inverse(multiply(inverse(X_4),X_12)) = multiply(X_4,inverse(X_12)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(inverse(X_4),X_12)))),bind(Y,$fot(double_divide(X_12,inverse(X_4)))),bind(Z,$fot(multiply(X_4,inverse(X_12))))]]) ).
cnf(refute_0_526,plain,
( double_divide(X_12,inverse(X_4)) != multiply(X_4,inverse(X_12))
| inverse(multiply(inverse(X_4),X_12)) = multiply(X_4,inverse(X_12)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_4),X_12)),double_divide(X_12,inverse(X_4))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
inverse(multiply(inverse(X_4),X_12)) = multiply(X_4,inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_4)),multiply(X_4,inverse(X_12))) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(X_13,inverse(multiply(inverse(X_4),X_12))) = multiply(X_13,inverse(multiply(inverse(X_4),X_12))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(multiply(inverse(X_4),X_12))))]]) ).
cnf(refute_0_529,plain,
( multiply(X_13,inverse(multiply(inverse(X_4),X_12))) != multiply(X_13,inverse(multiply(inverse(X_4),X_12)))
| inverse(multiply(inverse(X_4),X_12)) != multiply(X_4,inverse(X_12))
| multiply(X_13,inverse(multiply(inverse(X_4),X_12))) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_4),X_12))),multiply(X_13,inverse(multiply(inverse(X_4),X_12)))) ),[1,1],$fot(multiply(X_4,inverse(X_12)))]]) ).
cnf(refute_0_530,plain,
( inverse(multiply(inverse(X_4),X_12)) != multiply(X_4,inverse(X_12))
| multiply(X_13,inverse(multiply(inverse(X_4),X_12))) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_4),X_12))),multiply(X_13,inverse(multiply(inverse(X_4),X_12)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_13,inverse(multiply(inverse(X_4),X_12))) = multiply(X_13,multiply(X_4,inverse(X_12))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_4),X_12)),multiply(X_4,inverse(X_12))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(X_13,inverse(multiply(inverse(X_4),X_12))),
inference(subst,[],[refute_0_399:[bind(X_21,$fot(X_13)),bind(X_22,$fot(multiply(inverse(X_4),X_12)))]]) ).
cnf(refute_0_533,plain,
( multiply(X_13,inverse(multiply(inverse(X_4),X_12))) != multiply(X_13,multiply(X_4,inverse(X_12)))
| double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) != multiply(X_13,inverse(multiply(inverse(X_4),X_12)))
| double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(inverse(X_4),X_12),inverse(X_13)))),bind(Y,$fot(multiply(X_13,inverse(multiply(inverse(X_4),X_12))))),bind(Z,$fot(multiply(X_13,multiply(X_4,inverse(X_12)))))]]) ).
cnf(refute_0_534,plain,
( multiply(X_13,inverse(multiply(inverse(X_4),X_12))) != multiply(X_13,multiply(X_4,inverse(X_12)))
| double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),X_12),inverse(X_13)),multiply(X_13,inverse(multiply(inverse(X_4),X_12)))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) = multiply(X_13,multiply(X_4,inverse(X_12))),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_4),X_12))),multiply(X_13,multiply(X_4,inverse(X_12)))) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( multiply(multiply(inverse(X_12),X_13),X_4) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| double_divide(multiply(inverse(X_4),X_12),inverse(X_13)) != multiply(X_13,multiply(X_4,inverse(X_12)))
| multiply(multiply(inverse(X_12),X_13),X_4) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_12),X_13),X_4),multiply(X_13,multiply(X_4,inverse(X_12)))) ),[0],$fot(double_divide(multiply(inverse(X_4),X_12),inverse(X_13)))]]) ).
cnf(refute_0_537,plain,
( multiply(multiply(inverse(X_12),X_13),X_4) != double_divide(multiply(inverse(X_4),X_12),inverse(X_13))
| multiply(multiply(inverse(X_12),X_13),X_4) = multiply(X_13,multiply(X_4,inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_4),X_12),inverse(X_13)),multiply(X_13,multiply(X_4,inverse(X_12)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(multiply(inverse(X_12),X_13),X_4) = multiply(X_13,multiply(X_4,inverse(X_12))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_12),X_13),X_4),double_divide(multiply(inverse(X_4),X_12),inverse(X_13))) )],[refute_0_95,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(multiply(inverse(X_4),X_4),C) = multiply(X_4,multiply(C,inverse(X_4))),
inference(subst,[],[refute_0_538:[bind(X_12,$fot(X_4)),bind(X_13,$fot(X_4)),bind(X_4,$fot(C))]]) ).
cnf(refute_0_540,plain,
( multiply(multiply(inverse(X_4),X_4),C) != C
| multiply(multiply(inverse(X_4),X_4),C) != multiply(X_4,multiply(C,inverse(X_4)))
| multiply(X_4,multiply(C,inverse(X_4))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_4),X_4),C),C) ),[0],$fot(multiply(X_4,multiply(C,inverse(X_4))))]]) ).
cnf(refute_0_541,plain,
( multiply(multiply(inverse(X_4),X_4),C) != C
| multiply(X_4,multiply(C,inverse(X_4))) = C ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),X_4),C),multiply(X_4,multiply(C,inverse(X_4)))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(X_4,multiply(C,inverse(X_4))) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),X_4),C),C) )],[refute_0_104,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))) = X_101,
inference(subst,[],[refute_0_542:[bind(C,$fot(X_101)),bind(X_4,$fot(inverse(X_58)))]]) ).
cnf(refute_0_544,plain,
( multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))))),X_67) != inverse(multiply(X_101,inverse(inverse(X_58))))
| multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))) != X_101
| multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = inverse(multiply(X_101,inverse(inverse(X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))))),X_67),inverse(multiply(X_101,inverse(inverse(X_58))))) ),[0,0,1,1],$fot(X_101)]]) ).
cnf(refute_0_545,plain,
( multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))))),X_67) != inverse(multiply(X_101,inverse(inverse(X_58))))
| multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = inverse(multiply(X_101,inverse(inverse(X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))),X_101) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = inverse(multiply(X_101,inverse(inverse(X_58)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,multiply(inverse(X_58),multiply(X_101,inverse(inverse(X_58)))))),X_67),inverse(multiply(X_101,inverse(inverse(X_58))))) )],[refute_0_522,refute_0_545]) ).
cnf(refute_0_547,plain,
multiply(inverse(X_101),inverse(X_58)) = double_divide(X_58,X_101),
inference(subst,[],[refute_0_240:[bind(X_56,$fot(X_58)),bind(X_60,$fot(X_101))]]) ).
cnf(refute_0_548,plain,
double_divide(inverse(inverse(X_58)),X_101) = multiply(inverse(X_101),inverse(X_58)),
inference(subst,[],[refute_0_267:[bind(X_12,$fot(X_101)),bind(X_17,$fot(inverse(X_58)))]]) ).
cnf(refute_0_549,plain,
( multiply(inverse(X_101),inverse(X_58)) != double_divide(X_58,X_101)
| double_divide(inverse(inverse(X_58)),X_101) != multiply(inverse(X_101),inverse(X_58))
| double_divide(inverse(inverse(X_58)),X_101) = double_divide(X_58,X_101) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(inverse(X_58)),X_101))),bind(Y,$fot(multiply(inverse(X_101),inverse(X_58)))),bind(Z,$fot(double_divide(X_58,X_101)))]]) ).
cnf(refute_0_550,plain,
( multiply(inverse(X_101),inverse(X_58)) != double_divide(X_58,X_101)
| double_divide(inverse(inverse(X_58)),X_101) = double_divide(X_58,X_101) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_58)),X_101),multiply(inverse(X_101),inverse(X_58))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
double_divide(inverse(inverse(X_58)),X_101) = double_divide(X_58,X_101),
inference(resolve,[$cnf( $equal(multiply(inverse(X_101),inverse(X_58)),double_divide(X_58,X_101)) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
inverse(multiply(X_101,inverse(inverse(X_58)))) = double_divide(inverse(inverse(X_58)),X_101),
inference(subst,[],[refute_0_228:[bind(A,$fot(X_101)),bind(B,$fot(inverse(inverse(X_58))))]]) ).
cnf(refute_0_553,plain,
( double_divide(inverse(inverse(X_58)),X_101) != double_divide(X_58,X_101)
| inverse(multiply(X_101,inverse(inverse(X_58)))) != double_divide(inverse(inverse(X_58)),X_101)
| inverse(multiply(X_101,inverse(inverse(X_58)))) = double_divide(X_58,X_101) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(X_101,inverse(inverse(X_58)))))),bind(Y,$fot(double_divide(inverse(inverse(X_58)),X_101))),bind(Z,$fot(double_divide(X_58,X_101)))]]) ).
cnf(refute_0_554,plain,
( double_divide(inverse(inverse(X_58)),X_101) != double_divide(X_58,X_101)
| inverse(multiply(X_101,inverse(inverse(X_58)))) = double_divide(X_58,X_101) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_101,inverse(inverse(X_58)))),double_divide(inverse(inverse(X_58)),X_101)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
inverse(multiply(X_101,inverse(inverse(X_58)))) = double_divide(X_58,X_101),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_58)),X_101),double_divide(X_58,X_101)) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
( multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) != inverse(multiply(X_101,inverse(inverse(X_58))))
| inverse(multiply(X_101,inverse(inverse(X_58)))) != double_divide(X_58,X_101)
| multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = double_divide(X_58,X_101) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_58,multiply(X_67,X_101)),X_67),double_divide(X_58,X_101)) ),[0],$fot(inverse(multiply(X_101,inverse(inverse(X_58)))))]]) ).
cnf(refute_0_557,plain,
( multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) != inverse(multiply(X_101,inverse(inverse(X_58))))
| multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = double_divide(X_58,X_101) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_101,inverse(inverse(X_58)))),double_divide(X_58,X_101)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
multiply(double_divide(X_58,multiply(X_67,X_101)),X_67) = double_divide(X_58,X_101),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,X_101)),X_67),inverse(multiply(X_101,inverse(inverse(X_58))))) )],[refute_0_546,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) = double_divide(X_58,double_divide(X_91,X_90)),
inference(subst,[],[refute_0_558:[bind(X_101,$fot(double_divide(X_91,X_90)))]]) ).
cnf(refute_0_560,plain,
( multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) != double_divide(X_58,double_divide(X_91,X_90))
| multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) != double_divide(double_divide(X_91,X_90),X_58)
| double_divide(X_58,double_divide(X_91,X_90)) = double_divide(double_divide(X_91,X_90),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67),double_divide(double_divide(X_91,X_90),X_58)) ),[0],$fot(double_divide(X_58,double_divide(X_91,X_90)))]]) ).
cnf(refute_0_561,plain,
( multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67) != double_divide(double_divide(X_91,X_90),X_58)
| double_divide(X_58,double_divide(X_91,X_90)) = double_divide(double_divide(X_91,X_90),X_58) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67),double_divide(X_58,double_divide(X_91,X_90))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
double_divide(X_58,double_divide(X_91,X_90)) = double_divide(double_divide(X_91,X_90),X_58),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_58,multiply(X_67,double_divide(X_91,X_90))),X_67),double_divide(double_divide(X_91,X_90),X_58)) )],[refute_0_521,refute_0_561]) ).
cnf(refute_0_563,plain,
( double_divide(X_58,double_divide(X_91,X_90)) != double_divide(double_divide(X_91,X_90),X_58)
| double_divide(double_divide(X_91,X_90),X_58) = double_divide(X_58,double_divide(X_91,X_90)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_58,double_divide(X_91,X_90)))),bind(Y,$fot(double_divide(double_divide(X_91,X_90),X_58)))]]) ).
cnf(refute_0_564,plain,
double_divide(double_divide(X_91,X_90),X_58) = double_divide(X_58,double_divide(X_91,X_90)),
inference(resolve,[$cnf( $equal(double_divide(X_58,double_divide(X_91,X_90)),double_divide(double_divide(X_91,X_90),X_58)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) = double_divide(X_31,double_divide(multiply(X_31,X_33),X_4)),
inference(subst,[],[refute_0_564:[bind(X_58,$fot(X_31)),bind(X_90,$fot(X_4)),bind(X_91,$fot(multiply(X_31,X_33)))]]) ).
cnf(refute_0_566,plain,
( multiply(X_33,X_4) != double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)
| double_divide(double_divide(multiply(X_31,X_33),X_4),X_31) != double_divide(X_31,double_divide(multiply(X_31,X_33),X_4))
| multiply(X_33,X_4) = double_divide(X_31,double_divide(multiply(X_31,X_33),X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_33,X_4),double_divide(X_31,double_divide(multiply(X_31,X_33),X_4))) ),[0],$fot(double_divide(double_divide(multiply(X_31,X_33),X_4),X_31))]]) ).
cnf(refute_0_567,plain,
( multiply(X_33,X_4) != double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)
| multiply(X_33,X_4) = double_divide(X_31,double_divide(multiply(X_31,X_33),X_4)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_31,X_33),X_4),X_31),double_divide(X_31,double_divide(multiply(X_31,X_33),X_4))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(X_33,X_4) = double_divide(X_31,double_divide(multiply(X_31,X_33),X_4)),
inference(resolve,[$cnf( $equal(multiply(X_33,X_4),double_divide(double_divide(multiply(X_31,X_33),X_4),X_31)) )],[refute_0_282,refute_0_567]) ).
cnf(refute_0_569,plain,
multiply(X_104,X_56) = double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)),
inference(subst,[],[refute_0_568:[bind(X_31,$fot(X_56)),bind(X_33,$fot(X_104)),bind(X_4,$fot(X_56))]]) ).
cnf(refute_0_570,plain,
( multiply(X_104,X_56) != double_divide(X_56,double_divide(multiply(X_56,X_104),X_56))
| double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) = multiply(X_104,X_56) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_104,X_56))),bind(Y,$fot(double_divide(X_56,double_divide(multiply(X_56,X_104),X_56))))]]) ).
cnf(refute_0_571,plain,
double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) = multiply(X_104,X_56),
inference(resolve,[$cnf( $equal(multiply(X_104,X_56),double_divide(X_56,double_divide(multiply(X_56,X_104),X_56))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
( double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) != multiply(X_104,X_56)
| double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) != multiply(X_56,X_104)
| multiply(X_104,X_56) = multiply(X_56,X_104) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)),multiply(X_56,X_104)) ),[0],$fot(multiply(X_104,X_56))]]) ).
cnf(refute_0_573,plain,
( double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)) != multiply(X_56,X_104)
| multiply(X_104,X_56) = multiply(X_56,X_104) ),
inference(resolve,[$cnf( $equal(double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)),multiply(X_104,X_56)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_104,X_56) = multiply(X_56,X_104),
inference(resolve,[$cnf( $equal(double_divide(X_56,double_divide(multiply(X_56,X_104),X_56)),multiply(X_56,X_104)) )],[refute_0_249,refute_0_573]) ).
cnf(refute_0_575,plain,
( multiply(X_104,X_56) != multiply(X_56,X_104)
| multiply(X_56,X_104) = multiply(X_104,X_56) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_104,X_56))),bind(Y,$fot(multiply(X_56,X_104)))]]) ).
cnf(refute_0_576,plain,
multiply(X_56,X_104) = multiply(X_104,X_56),
inference(resolve,[$cnf( $equal(multiply(X_104,X_56),multiply(X_56,X_104)) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_576:[bind(X_104,$fot(a)),bind(X_56,$fot(b))]]) ).
cnf(refute_0_578,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_579,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_579,prove_these_axioms_4]) ).
cnf(refute_0_581,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_582,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_581,refute_0_580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP588-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 22:05:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.56
% 0.21/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.65
%------------------------------------------------------------------------------