TSTP Solution File: GRP105-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP105-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 10:34:52 EDT 2022
% Result : Unsatisfiable 0.98s 1.16s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 138
% Syntax : Number of clauses : 503 ( 259 unt; 0 nHn; 233 RR)
% Number of literals : 865 ( 864 equ; 370 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 1480 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_4,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(double_divide(X,inverse(Z))) = multiply(inverse(Z),X),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(Z))),bind(Y,$fot(X))]]) ).
cnf(refute_0_6,plain,
multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) = multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)))]]) ).
cnf(refute_0_7,plain,
( multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) != multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y))
| inverse(double_divide(X,inverse(Z))) != multiply(inverse(Z),X)
| multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) = multiply(multiply(inverse(Z),X),double_divide(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)),multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y))) ),[1,0],$fot(multiply(inverse(Z),X))]]) ).
cnf(refute_0_8,plain,
( inverse(double_divide(X,inverse(Z))) != multiply(inverse(Z),X)
| multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) = multiply(multiply(inverse(Z),X),double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)),multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) = multiply(multiply(inverse(Z),X),double_divide(X,Y)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,inverse(Z))),multiply(inverse(Z),X)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) = multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(double_divide(X,inverse(Z))))),bind(Y,$fot(double_divide(X,Y)))]]) ).
cnf(refute_0_11,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_12,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) != multiply(multiply(inverse(Z),X),double_divide(X,Y))
| inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) != multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y))
| inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) = multiply(multiply(inverse(Z),X),double_divide(X,Y)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))))),bind(Y0,$fot(multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)))),bind(Z0,$fot(multiply(multiply(inverse(Z),X),double_divide(X,Y))))]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)) != multiply(multiply(inverse(Z),X),double_divide(X,Y))
| inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) = multiply(multiply(inverse(Z),X),double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) = multiply(multiply(inverse(Z),X),double_divide(X,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X,inverse(Z))),double_divide(X,Y)),multiply(multiply(inverse(Z),X),double_divide(X,Y))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y))]]) ).
cnf(refute_0_17,plain,
( double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) != double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y)
| inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) != multiply(multiply(inverse(Z),X),double_divide(X,Y))
| double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y)) ),[1,0],$fot(multiply(multiply(inverse(Z),X),double_divide(X,Y)))]]) ).
cnf(refute_0_18,plain,
( inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))) != multiply(multiply(inverse(Z),X),double_divide(X,Y))
| double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),multiply(multiply(inverse(Z),X),double_divide(X,Y))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) != Z
| double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) != double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y)
| double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),Z) ),[0],$fot(double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y))]]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) != Z
| double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y) = Z ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(multiply(multiply(inverse(Z),X),double_divide(X,Y)),Y) = Z,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y),Z) )],[single_axiom,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) = Z,
inference(subst,[],[refute_0_22:[bind(X,$fot(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))))]]) ).
cnf(refute_0_24,plain,
multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) = inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X)),
inference(subst,[],[multiply:[bind(Y,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))))]]) ).
cnf(refute_0_25,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X) = X_4,
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Y,$fot(X)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_26,plain,
( multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X))
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X) != X_4
| multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_27,plain,
( multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X))
| multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X),X_4) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,X)),X))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))) = inverse(X_7),
inference(subst,[],[refute_0_28:[bind(X,$fot(inverse(Z))),bind(X_2,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_30,plain,
( multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))) != inverse(X_7)
| double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) != Z
| double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y),Z) ),[0,0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_31,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) != Z
| double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) = Z ),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),inverse(X_7)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y) = Z,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(Z))),Y)),Y),Z) )],[refute_0_23,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28)),X_28) = X_29,
inference(subst,[],[refute_0_32:[bind(Y,$fot(X_28)),bind(Z,$fot(X_29)),bind(X_6,$fot(multiply(inverse(X_15),X_15))),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_34,plain,
double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y)),Y) = Z,
inference(subst,[],[refute_0_22:[bind(X,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))))]]) ).
cnf(refute_0_35,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y) = X_4,
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_36,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y)),Y) != Z
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y) != X_4
| double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),X_4),Y) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y)),Y),Z) ),[0,0,1],$fot(X_4)]]) ).
cnf(refute_0_37,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y)),Y) != Z
| double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),X_4),Y) = Z ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y),X_4) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),X_4),Y) = Z,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,Y)),Y)),Y),Z) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_38:[bind(Y,$fot(inverse(X_13))),bind(Z,$fot(X_13)),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_40,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) = inverse(X_15),
inference(subst,[],[refute_0_28:[bind(X,$fot(inverse(X_13))),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_41,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) != inverse(X_15)
| double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) ),[0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_42,plain,
( double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),inverse(X_15)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_29)) = X_29,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_29))]]) ).
cnf(refute_0_45,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(X_29)) != X_29
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28)),X_28) != X_29
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28)),X_28),X_29) ),[0,0,1,0,1],$fot(X_29)]]) ).
cnf(refute_0_46,plain,
( double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28)),X_28) != X_29
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = X_29 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_29)),X_29) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28)),X_28),X_29) )],[refute_0_33,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),
inference(subst,[],[multiply:[bind(X,$fot(inverse(X_16))),bind(Y,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_49,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_51,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(inverse(X_31),multiply(inverse(X_15),X_15)) = inverse(X_31),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(X_31)),bind(X_17,$fot(X_15))]]) ).
cnf(refute_0_54,plain,
multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29))]]) ).
cnf(refute_0_55,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)
| multiply(inverse(X_31),multiply(inverse(X_15),X_15)) != inverse(X_31)
| multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)) ),[1,0],$fot(inverse(X_31))]]) ).
cnf(refute_0_56,plain,
( multiply(inverse(X_31),multiply(inverse(X_15),X_15)) != inverse(X_31)
| multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),inverse(X_31)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))]]) ).
cnf(refute_0_59,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(inverse(X_31),X_29)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) ),[1,0],$fot(multiply(inverse(X_31),X_29))]]) ).
cnf(refute_0_60,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(inverse(X_31),X_29)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(inverse(X_31),X_29)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)))]]) ).
cnf(refute_0_63,plain,
( multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(inverse(X_31),X_29),X_28)
| multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) ),[1,1],$fot(double_divide(multiply(inverse(X_31),X_29),X_28))]]) ).
cnf(refute_0_64,plain,
( double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(inverse(X_31),X_29),X_28)
| multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(inverse(X_31),X_29),X_28)) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) != double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28)
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28)) ),[1,0],$fot(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)))]]) ).
cnf(refute_0_68,plain,
( multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) = double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) != X_29
| double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) != double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28)
| double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),X_29) ),[0],$fot(double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28))]]) ).
cnf(refute_0_71,plain,
( double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28) != X_29
| double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28) = X_29 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),X_28) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),X_28),X_29) )],[refute_0_47,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) = X_29,
inference(subst,[],[refute_0_72:[bind(X_31,$fot(multiply(inverse(X_45),X_45)))]]) ).
cnf(refute_0_74,plain,
double_divide(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_75,plain,
multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)) = inverse(multiply(inverse(X_23),X_23)),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(multiply(inverse(X_23),X_23))),bind(X_17,$fot(X_23))]]) ).
cnf(refute_0_76,plain,
( multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)) != inverse(multiply(inverse(X_23),X_23))
| double_divide(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(X_13)),X_13) ),[0,0],$fot(inverse(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_77,plain,
( double_divide(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_23),X_23))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_23),X_23)),multiply(inverse(X_23),X_23)),inverse(X_13)),X_13) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_24)) = X_24,
inference(subst,[],[refute_0_78:[bind(X_13,$fot(X_24)),bind(X_23,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_80,plain,
multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_24)) != X_24
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_24)),X_24) ),[0,0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_82,plain,
( double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_24)) != X_24
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_24)),X_24) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))) = multiply(inverse(X_41),X_41),
inference(subst,[],[refute_0_83:[bind(X_24,$fot(multiply(inverse(X_41),X_41)))]]) ).
cnf(refute_0_85,plain,
double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) = Z,
inference(subst,[],[refute_0_22:[bind(X,$fot(multiply(inverse(X_17),X_17))),bind(Y,$fot(inverse(X_16)))]]) ).
cnf(refute_0_86,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != Z
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),Z) ),[0,0,1],$fot(X_16)]]) ).
cnf(refute_0_87,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != Z
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_49,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = Z,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),Z) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(Z),multiply(inverse(X_17),X_17)) = inverse(Z),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(Z))]]) ).
cnf(refute_0_90,plain,
multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_91,plain,
( multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16)
| multiply(inverse(Z),multiply(inverse(X_17),X_17)) != inverse(Z)
| multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(Z),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(inverse(Z))]]) ).
cnf(refute_0_92,plain,
( multiply(inverse(Z),multiply(inverse(X_17),X_17)) != inverse(Z)
| multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(Z),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(Z),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),multiply(inverse(X_17),X_17)),inverse(Z)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)))]]) ).
cnf(refute_0_95,plain,
( multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(Z),X_16)
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(Z),X_16),inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) ),[1,0],$fot(multiply(inverse(Z),X_16))]]) ).
cnf(refute_0_96,plain,
( multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(Z),X_16)
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(Z),X_16),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(Z),X_16),inverse(X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),multiply(inverse(Z),X_16)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != Z
| double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(inverse(Z),X_16),inverse(X_16))
| double_divide(multiply(inverse(Z),X_16),inverse(X_16)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),Z) ),[0],$fot(double_divide(multiply(inverse(Z),X_16),inverse(X_16)))]]) ).
cnf(refute_0_99,plain,
( double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != Z
| double_divide(multiply(inverse(Z),X_16),inverse(X_16)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(inverse(Z),X_16),inverse(X_16))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(multiply(inverse(Z),X_16),inverse(X_16)) = Z,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(Z),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),Z) )],[refute_0_88,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) = X_39,
inference(subst,[],[refute_0_100:[bind(Z,$fot(X_39)),bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_102,plain,
multiply(inverse(X_39),multiply(inverse(X_17),X_17)) = inverse(X_39),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(X_39))]]) ).
cnf(refute_0_103,plain,
( multiply(inverse(X_39),multiply(inverse(X_17),X_17)) != inverse(X_39)
| double_divide(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) != X_39
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))),X_39) ),[0,0],$fot(inverse(X_39))]]) ).
cnf(refute_0_104,plain,
( double_divide(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) != X_39
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(X_39)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = X_39,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_39),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))),X_39) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_105:[bind(X_17,$fot(X_41)),bind(X_39,$fot(inverse(multiply(inverse(X_17),X_17))))]]) ).
cnf(refute_0_107,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))) != inverse(multiply(inverse(X_17),X_17))
| inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_41),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) ),[0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_108,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_41),X_41) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_41),X_41),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) )],[refute_0_84,refute_0_108]) ).
cnf(refute_0_110,plain,
inverse(multiply(inverse(X_45),X_45)) = multiply(inverse(X_46),X_46),
inference(subst,[],[refute_0_109:[bind(X_17,$fot(X_45)),bind(X_41,$fot(X_46))]]) ).
cnf(refute_0_111,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| inverse(multiply(inverse(X_45),X_45)) != multiply(inverse(X_46),X_46)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) ),[0,0,1,0,0],$fot(multiply(inverse(X_46),X_46))]]) ).
cnf(refute_0_112,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = X_29 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_45),X_45)),multiply(inverse(X_46),X_46)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) )],[refute_0_73,refute_0_112]) ).
cnf(refute_0_114,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| inverse(multiply(inverse(X_45),X_45)) != multiply(inverse(X_46),X_46)
| double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) ),[0,0,0],$fot(multiply(inverse(X_46),X_46))]]) ).
cnf(refute_0_115,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) = X_29 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_45),X_45)),multiply(inverse(X_46),X_46)) )],[refute_0_110,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) )],[refute_0_73,refute_0_115]) ).
cnf(refute_0_117,plain,
double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y) = X,
inference(subst,[],[refute_0_22:[bind(Z,$fot(X))]]) ).
cnf(refute_0_118,plain,
double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))) = multiply(inverse(X_41),X_41),
inference(subst,[],[refute_0_78:[bind(X_13,$fot(multiply(inverse(X_41),X_41)))]]) ).
cnf(refute_0_119,plain,
double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))) = multiply(inverse(X_23),X_23),
inference(subst,[],[refute_0_105:[bind(X_17,$fot(X_41)),bind(X_39,$fot(multiply(inverse(X_23),X_23)))]]) ).
cnf(refute_0_120,plain,
( double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_23),X_23)
| double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| multiply(inverse(X_23),X_23) = multiply(inverse(X_41),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) ),[0],$fot(multiply(inverse(X_23),X_23))]]) ).
cnf(refute_0_121,plain,
( double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| multiply(inverse(X_23),X_23) = multiply(inverse(X_41),X_41) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_23),X_23)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(inverse(X_23),X_23) = multiply(inverse(X_41),X_41),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_23),X_23)),inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(inverse(X),X) = multiply(inverse(X_44),X_44),
inference(subst,[],[refute_0_122:[bind(X_23,$fot(X)),bind(X_41,$fot(X_44))]]) ).
cnf(refute_0_124,plain,
( multiply(inverse(X),X) != multiply(inverse(X_44),X_44)
| double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y) != X
| double_divide(multiply(multiply(inverse(X_44),X_44),double_divide(X,Y)),Y) = X ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y),X) ),[0,0,0],$fot(multiply(inverse(X_44),X_44))]]) ).
cnf(refute_0_125,plain,
( double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y) != X
| double_divide(multiply(multiply(inverse(X_44),X_44),double_divide(X,Y)),Y) = X ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),X),multiply(inverse(X_44),X_44)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(multiply(multiply(inverse(X_44),X_44),double_divide(X,Y)),Y) = X,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y),X) )],[refute_0_117,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) = multiply(inverse(multiply(inverse(X_45),X_45)),X_29),
inference(subst,[],[refute_0_126:[bind(X,$fot(multiply(inverse(multiply(inverse(X_45),X_45)),X_29))),bind(Y,$fot(X_28)),bind(X_44,$fot(X_46))]]) ).
cnf(refute_0_128,plain,
( double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != multiply(inverse(multiply(inverse(X_45),X_45)),X_29)
| multiply(inverse(multiply(inverse(X_45),X_45)),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) ),[0],$fot(multiply(inverse(multiply(inverse(X_45),X_45)),X_29))]]) ).
cnf(refute_0_129,plain,
( double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28) != X_29
| multiply(inverse(multiply(inverse(X_45),X_45)),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),multiply(inverse(multiply(inverse(X_45),X_45)),X_29)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(multiply(inverse(X_45),X_45)),X_29) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_46),X_46),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),X_29),X_28)),X_28),X_29) )],[refute_0_116,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)) = double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),
inference(subst,[],[refute_0_130:[bind(X_29,$fot(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)))]]) ).
cnf(refute_0_132,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28))]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)) != double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) != double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28)) ),[1,0],$fot(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28))]]) ).
cnf(refute_0_134,plain,
( multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)) != double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) = double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) != X_29
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) != double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28)
| double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),X_29) ),[0],$fot(double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28))]]) ).
cnf(refute_0_137,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28) != X_29
| double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) = X_29 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) = X_29,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28)),X_28),X_29) )],[refute_0_113,refute_0_137]) ).
cnf(refute_0_139,plain,
inverse(multiply(inverse(X_45),X_45)) = multiply(inverse(X),X),
inference(subst,[],[refute_0_109:[bind(X_17,$fot(X_45)),bind(X_41,$fot(X))]]) ).
cnf(refute_0_140,plain,
( inverse(multiply(inverse(X_45),X_45)) != multiply(inverse(X),X)
| multiply(inverse(X),X) = inverse(multiply(inverse(X_45),X_45)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(inverse(X_45),X_45)))),bind(Y0,$fot(multiply(inverse(X),X)))]]) ).
cnf(refute_0_141,plain,
multiply(inverse(X),X) = inverse(multiply(inverse(X_45),X_45)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_45),X_45)),multiply(inverse(X),X)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiply(inverse(X),X) != inverse(multiply(inverse(X_45),X_45))
| double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y) != X
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = X ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y),X) ),[0,0,0],$fot(inverse(multiply(inverse(X_45),X_45)))]]) ).
cnf(refute_0_143,plain,
( double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y) != X
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = X ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),X),inverse(multiply(inverse(X_45),X_45))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = X,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X),X),double_divide(X,Y)),Y),X) )],[refute_0_117,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)) = double_divide(X,Y),
inference(subst,[],[refute_0_130:[bind(X_29,$fot(double_divide(X,Y)))]]) ).
cnf(refute_0_146,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y))]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)) != double_divide(X,Y)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) != double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = double_divide(double_divide(X,Y),Y) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y)) ),[1,0],$fot(double_divide(X,Y))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)) != double_divide(X,Y)
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = double_divide(double_divide(X,Y),Y) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) = double_divide(double_divide(X,Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),double_divide(X,Y)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) != X
| double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) != double_divide(double_divide(X,Y),Y)
| double_divide(double_divide(X,Y),Y) = X ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),X) ),[0],$fot(double_divide(double_divide(X,Y),Y))]]) ).
cnf(refute_0_151,plain,
( double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y) != X
| double_divide(double_divide(X,Y),Y) = X ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),double_divide(double_divide(X,Y),Y)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(double_divide(X,Y),Y) = X,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_45),X_45)),double_divide(X,Y)),Y),X) )],[refute_0_144,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) = multiply(multiply(inverse(X_46),X_46),X_29),
inference(subst,[],[refute_0_152:[bind(X,$fot(multiply(multiply(inverse(X_46),X_46),X_29))),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_154,plain,
( double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) != X_29
| double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) != multiply(multiply(inverse(X_46),X_46),X_29)
| multiply(multiply(inverse(X_46),X_46),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28),X_29) ),[0],$fot(multiply(multiply(inverse(X_46),X_46),X_29))]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28) != X_29
| multiply(multiply(inverse(X_46),X_46),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28),multiply(multiply(inverse(X_46),X_46),X_29)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(multiply(inverse(X_46),X_46),X_29) = X_29,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(multiply(inverse(X_46),X_46),X_29),X_28),X_28),X_29) )],[refute_0_138,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(subst,[],[refute_0_156:[bind(X_29,$fot(a2)),bind(X_46,$fot(b2))]]) ).
cnf(refute_0_158,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_159,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_159,prove_these_axioms]) ).
cnf(refute_0_161,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_161,refute_0_160]) ).
cnf(refute_0_163,plain,
( multiply(inverse(X_23),X_23) != multiply(inverse(X_41),X_41)
| multiply(inverse(X_41),X_41) = multiply(inverse(X_23),X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_23),X_23))),bind(Y0,$fot(multiply(inverse(X_41),X_41)))]]) ).
cnf(refute_0_164,plain,
multiply(inverse(X_41),X_41) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),X_23),multiply(inverse(X_41),X_41)) )],[refute_0_122,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_164:[bind(X_23,$fot(b1)),bind(X_41,$fot(a1))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_165,refute_0_162]) ).
cnf(refute_0_167,plain,
double_divide(double_divide(double_divide(Y,X_62),Y),Y) = double_divide(Y,X_62),
inference(subst,[],[refute_0_152:[bind(X,$fot(double_divide(Y,X_62)))]]) ).
cnf(refute_0_168,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) = inverse(X_4),
inference(subst,[],[refute_0_28:[bind(X,$fot(inverse(X_16))),bind(X_2,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) != inverse(X_4)
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))),inverse(X_4)) ),[0,1,1],$fot(X_16)]]) ).
cnf(refute_0_170,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) != inverse(X_4)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_49,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))),inverse(X_4)) )],[refute_0_168,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(inverse(X_4),multiply(inverse(X_17),X_17)) = inverse(X_4),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(X_4))]]) ).
cnf(refute_0_173,plain,
multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_174,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)
| multiply(inverse(X_4),multiply(inverse(X_17),X_17)) != inverse(X_4)
| multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_175,plain,
( multiply(inverse(X_4),multiply(inverse(X_17),X_17)) != inverse(X_4)
| multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),inverse(X_4)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)))]]) ).
cnf(refute_0_178,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(X_4),X_16)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))) ),[1,1],$fot(multiply(inverse(X_4),X_16))]]) ).
cnf(refute_0_179,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(X_4),X_16)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(inverse(X_4),X_16)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != multiply(inverse(X_16),multiply(inverse(X_4),X_16))
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != inverse(X_4)
| multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),inverse(X_4)) ),[0],$fot(multiply(inverse(X_16),multiply(inverse(X_4),X_16)))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != inverse(X_4)
| multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(inverse(X_4),X_16))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),inverse(X_4)) )],[refute_0_171,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(inverse(X_52),multiply(inverse(inverse(X_39)),X_52)) = inverse(inverse(X_39)),
inference(subst,[],[refute_0_183:[bind(X_16,$fot(X_52)),bind(X_4,$fot(inverse(X_39)))]]) ).
cnf(refute_0_185,plain,
multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)) = inverse(inverse(X_39)),
inference(subst,[],[refute_0_52:[bind(X_16,$fot(inverse(X_39)))]]) ).
cnf(refute_0_186,plain,
double_divide(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),inverse(X_16)) = multiply(inverse(Z),X_16),
inference(subst,[],[refute_0_152:[bind(X,$fot(multiply(inverse(Z),X_16))),bind(Y,$fot(inverse(X_16)))]]) ).
cnf(refute_0_187,plain,
( double_divide(multiply(inverse(Z),X_16),inverse(X_16)) != Z
| double_divide(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),inverse(X_16)) != multiply(inverse(Z),X_16)
| double_divide(Z,inverse(X_16)) = multiply(inverse(Z),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),inverse(X_16)),multiply(inverse(Z),X_16)) ),[0,0],$fot(Z)]]) ).
cnf(refute_0_188,plain,
( double_divide(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),inverse(X_16)) != multiply(inverse(Z),X_16)
| double_divide(Z,inverse(X_16)) = multiply(inverse(Z),X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),Z) )],[refute_0_100,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(Z,inverse(X_16)) = multiply(inverse(Z),X_16),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(Z),X_16),inverse(X_16)),inverse(X_16)),multiply(inverse(Z),X_16)) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_189:[bind(Z,$fot(inverse(X_39))),bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_191,plain,
( multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)) != inverse(inverse(X_39))
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) != multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17))
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = inverse(inverse(X_39)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))))),bind(Y0,$fot(multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)))),bind(Z0,$fot(inverse(inverse(X_39))))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)) != inverse(inverse(X_39))
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))),multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) = inverse(inverse(X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_39)),multiply(inverse(X_17),X_17)),inverse(inverse(X_39))) )],[refute_0_185,refute_0_192]) ).
cnf(refute_0_194,plain,
( double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) != X_39
| double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) != inverse(inverse(X_39))
| inverse(inverse(X_39)) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))),X_39) ),[0],$fot(inverse(inverse(X_39)))]]) ).
cnf(refute_0_195,plain,
( double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))) != X_39
| inverse(inverse(X_39)) = X_39 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))),inverse(inverse(X_39))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(inverse(X_39)) = X_39,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),inverse(multiply(inverse(X_17),X_17))),X_39) )],[refute_0_105,refute_0_195]) ).
cnf(refute_0_197,plain,
( multiply(inverse(X_52),multiply(inverse(inverse(X_39)),X_52)) != inverse(inverse(X_39))
| inverse(inverse(X_39)) != X_39
| multiply(inverse(X_52),multiply(X_39,X_52)) = inverse(inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),multiply(inverse(inverse(X_39)),X_52)),inverse(inverse(X_39))) ),[0,1,0],$fot(X_39)]]) ).
cnf(refute_0_198,plain,
( multiply(inverse(X_52),multiply(inverse(inverse(X_39)),X_52)) != inverse(inverse(X_39))
| multiply(inverse(X_52),multiply(X_39,X_52)) = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(inverse(X_52),multiply(X_39,X_52)) = inverse(inverse(X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(inverse(inverse(X_39)),X_52)),inverse(inverse(X_39))) )],[refute_0_184,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiply(inverse(X_52),multiply(X_39,X_52)) != inverse(inverse(X_39))
| inverse(inverse(X_39)) != X_39
| multiply(inverse(X_52),multiply(X_39,X_52)) = X_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_52),multiply(X_39,X_52)),X_39) ),[0],$fot(inverse(inverse(X_39)))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_52),multiply(X_39,X_52)) != inverse(inverse(X_39))
| multiply(inverse(X_52),multiply(X_39,X_52)) = X_39 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_196,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(X_52),multiply(X_39,X_52)) = X_39,
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(X_39,X_52)),inverse(inverse(X_39))) )],[refute_0_199,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(X_52),multiply(double_divide(X_59,X_52),X_52)) = double_divide(X_59,X_52),
inference(subst,[],[refute_0_202:[bind(X_39,$fot(double_divide(X_59,X_52)))]]) ).
cnf(refute_0_204,plain,
multiply(inverse(multiply(X_54,X_55)),multiply(inverse(X_55),multiply(X_54,X_55))) = inverse(X_55),
inference(subst,[],[refute_0_202:[bind(X_39,$fot(inverse(X_55))),bind(X_52,$fot(multiply(X_54,X_55)))]]) ).
cnf(refute_0_205,plain,
multiply(inverse(X_55),multiply(X_54,X_55)) = X_54,
inference(subst,[],[refute_0_202:[bind(X_39,$fot(X_54)),bind(X_52,$fot(X_55))]]) ).
cnf(refute_0_206,plain,
( multiply(inverse(X_55),multiply(X_54,X_55)) != X_54
| multiply(inverse(multiply(X_54,X_55)),multiply(inverse(X_55),multiply(X_54,X_55))) != inverse(X_55)
| multiply(inverse(multiply(X_54,X_55)),X_54) = inverse(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),multiply(inverse(X_55),multiply(X_54,X_55))),inverse(X_55)) ),[0,1],$fot(X_54)]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(multiply(X_54,X_55)),multiply(inverse(X_55),multiply(X_54,X_55))) != inverse(X_55)
| multiply(inverse(multiply(X_54,X_55)),X_54) = inverse(X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),multiply(X_54,X_55)),X_54) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(multiply(X_54,X_55)),X_54) = inverse(X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),multiply(inverse(X_55),multiply(X_54,X_55))),inverse(X_55)) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(inverse(double_divide(Y,X))) = double_divide(Y,X),
inference(subst,[],[refute_0_196:[bind(X_39,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_210,plain,
( inverse(double_divide(Y,X)) != multiply(X,Y)
| inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) ),[0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_211,plain,
( inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(multiply(X_54,X_55)) = double_divide(X_55,X_54),
inference(subst,[],[refute_0_212:[bind(X,$fot(X_54)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_214,plain,
multiply(inverse(multiply(X_54,X_55)),X_54) = multiply(inverse(multiply(X_54,X_55)),X_54),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_54,X_55)),X_54))]]) ).
cnf(refute_0_215,plain,
( multiply(inverse(multiply(X_54,X_55)),X_54) != multiply(inverse(multiply(X_54,X_55)),X_54)
| inverse(multiply(X_54,X_55)) != double_divide(X_55,X_54)
| multiply(inverse(multiply(X_54,X_55)),X_54) = multiply(double_divide(X_55,X_54),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_54),multiply(inverse(multiply(X_54,X_55)),X_54)) ),[1,0],$fot(double_divide(X_55,X_54))]]) ).
cnf(refute_0_216,plain,
( inverse(multiply(X_54,X_55)) != double_divide(X_55,X_54)
| multiply(inverse(multiply(X_54,X_55)),X_54) = multiply(double_divide(X_55,X_54),X_54) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_54),multiply(inverse(multiply(X_54,X_55)),X_54)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(inverse(multiply(X_54,X_55)),X_54) = multiply(double_divide(X_55,X_54),X_54),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,X_55)),double_divide(X_55,X_54)) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
( multiply(inverse(multiply(X_54,X_55)),X_54) != multiply(double_divide(X_55,X_54),X_54)
| multiply(inverse(multiply(X_54,X_55)),X_54) != inverse(X_55)
| multiply(double_divide(X_55,X_54),X_54) = inverse(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_54),inverse(X_55)) ),[0],$fot(multiply(double_divide(X_55,X_54),X_54))]]) ).
cnf(refute_0_219,plain,
( multiply(inverse(multiply(X_54,X_55)),X_54) != inverse(X_55)
| multiply(double_divide(X_55,X_54),X_54) = inverse(X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_54),multiply(double_divide(X_55,X_54),X_54)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(double_divide(X_55,X_54),X_54) = inverse(X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_54,X_55)),X_54),inverse(X_55)) )],[refute_0_208,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(double_divide(X_59,X_52),X_52) = inverse(X_59),
inference(subst,[],[refute_0_220:[bind(X_54,$fot(X_52)),bind(X_55,$fot(X_59))]]) ).
cnf(refute_0_222,plain,
( multiply(double_divide(X_59,X_52),X_52) != inverse(X_59)
| multiply(inverse(X_52),multiply(double_divide(X_59,X_52),X_52)) != double_divide(X_59,X_52)
| multiply(inverse(X_52),inverse(X_59)) = double_divide(X_59,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),multiply(double_divide(X_59,X_52),X_52)),double_divide(X_59,X_52)) ),[0,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_223,plain,
( multiply(inverse(X_52),multiply(double_divide(X_59,X_52),X_52)) != double_divide(X_59,X_52)
| multiply(inverse(X_52),inverse(X_59)) = double_divide(X_59,X_52) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_59,X_52),X_52),inverse(X_59)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(inverse(X_52),inverse(X_59)) = double_divide(X_59,X_52),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(double_divide(X_59,X_52),X_52)),double_divide(X_59,X_52)) )],[refute_0_203,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(inverse(X_60),inverse(double_divide(Y,X))) = double_divide(double_divide(Y,X),X_60),
inference(subst,[],[refute_0_224:[bind(X_52,$fot(X_60)),bind(X_59,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_226,plain,
( multiply(inverse(X_60),inverse(double_divide(Y,X))) != double_divide(double_divide(Y,X),X_60)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(inverse(X_60),multiply(X,Y)) = double_divide(double_divide(Y,X),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),inverse(double_divide(Y,X))),double_divide(double_divide(Y,X),X_60)) ),[0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(X_60),inverse(double_divide(Y,X))) != double_divide(double_divide(Y,X),X_60)
| multiply(inverse(X_60),multiply(X,Y)) = double_divide(double_divide(Y,X),X_60) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(inverse(X_60),multiply(X,Y)) = double_divide(double_divide(Y,X),X_60),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(double_divide(Y,X))),double_divide(double_divide(Y,X),X_60)) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(inverse(X_52),multiply(X_39,X_52)) = double_divide(double_divide(X_52,X_39),X_52),
inference(subst,[],[refute_0_228:[bind(X,$fot(X_39)),bind(Y,$fot(X_52)),bind(X_60,$fot(X_52))]]) ).
cnf(refute_0_230,plain,
( multiply(inverse(X_52),multiply(X_39,X_52)) != X_39
| multiply(inverse(X_52),multiply(X_39,X_52)) != double_divide(double_divide(X_52,X_39),X_52)
| double_divide(double_divide(X_52,X_39),X_52) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),multiply(X_39,X_52)),X_39) ),[0],$fot(double_divide(double_divide(X_52,X_39),X_52))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(X_52),multiply(X_39,X_52)) != X_39
| double_divide(double_divide(X_52,X_39),X_52) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(X_39,X_52)),double_divide(double_divide(X_52,X_39),X_52)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
double_divide(double_divide(X_52,X_39),X_52) = X_39,
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(X_39,X_52)),X_39) )],[refute_0_202,refute_0_231]) ).
cnf(refute_0_233,plain,
double_divide(double_divide(Y,X_62),Y) = X_62,
inference(subst,[],[refute_0_232:[bind(X_39,$fot(X_62)),bind(X_52,$fot(Y))]]) ).
cnf(refute_0_234,plain,
( double_divide(double_divide(Y,X_62),Y) != X_62
| double_divide(double_divide(double_divide(Y,X_62),Y),Y) != double_divide(Y,X_62)
| double_divide(X_62,Y) = double_divide(Y,X_62) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X_62),Y),Y),double_divide(Y,X_62)) ),[0,0],$fot(X_62)]]) ).
cnf(refute_0_235,plain,
( double_divide(double_divide(double_divide(Y,X_62),Y),Y) != double_divide(Y,X_62)
| double_divide(X_62,Y) = double_divide(Y,X_62) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_62),Y),X_62) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
double_divide(X_62,Y) = double_divide(Y,X_62),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X_62),Y),Y),double_divide(Y,X_62)) )],[refute_0_167,refute_0_235]) ).
cnf(refute_0_237,plain,
double_divide(Y,X) = double_divide(X,Y),
inference(subst,[],[refute_0_236:[bind(Y,$fot(X)),bind(X_62,$fot(Y))]]) ).
cnf(refute_0_238,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| double_divide(Y,X) != double_divide(X,Y)
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[1,0],$fot(double_divide(X,Y))]]) ).
cnf(refute_0_239,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,X),double_divide(X,Y)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(X,Y) = inverse(double_divide(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[multiply,refute_0_239]) ).
cnf(refute_0_241,plain,
inverse(double_divide(X,Y)) = multiply(Y,X),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_242,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| inverse(double_divide(X,Y)) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,X)) ),[0],$fot(inverse(double_divide(X,Y)))]]) ).
cnf(refute_0_243,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,Y)),multiply(Y,X)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(X,Y))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_246,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_246:[bind(X,$fot(a4)),bind(Y,$fot(b4))]]) ).
cnf(refute_0_248,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_249,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_249,refute_0_166]) ).
cnf(refute_0_251,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_246:[bind(X,$fot(c3)),bind(Y,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_253,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_253,refute_0_250]) ).
cnf(refute_0_255,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_256,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_255,refute_0_254]) ).
cnf(refute_0_257,plain,
multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X))) = inverse(X_4),
inference(subst,[],[refute_0_28:[bind(X_2,$fot(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))]]) ).
cnf(refute_0_258,plain,
double_divide(multiply(multiply(inverse(double_divide(Y,X)),X_2),double_divide(X_2,X_3)),X_3) = double_divide(Y,X),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_259,plain,
( double_divide(multiply(multiply(inverse(double_divide(Y,X)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(Y,X)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_3)),X_3) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(double_divide(Y,X)),X_2),double_divide(X_2,X_3)),X_3),double_divide(Y,X)) ),[0,0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_260,plain,
( double_divide(multiply(multiply(inverse(double_divide(Y,X)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(Y,X)
| double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_3)),X_3) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_259]) ).
cnf(refute_0_261,plain,
double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_3)),X_3) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(double_divide(Y,X)),X_2),double_divide(X_2,X_3)),X_3),double_divide(Y,X)) )],[refute_0_258,refute_0_260]) ).
cnf(refute_0_262,plain,
double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X) = double_divide(X_9,X_8),
inference(subst,[],[refute_0_261:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(X_2,$fot(X_10)),bind(X_3,$fot(X))]]) ).
cnf(refute_0_263,plain,
( multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X))) != inverse(X_4)
| double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X) != double_divide(X_9,X_8)
| multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X))),inverse(X_4)) ),[0,1,1],$fot(double_divide(X_9,X_8))]]) ).
cnf(refute_0_264,plain,
( multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X))) != inverse(X_4)
| multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X),double_divide(X_9,X_8)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)),X))),inverse(X_4)) )],[refute_0_257,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))) = double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4),
inference(subst,[],[refute_0_228:[bind(X,$fot(multiply(multiply(X_8,X_9),X_10))),bind(Y,$fot(double_divide(X_10,X))),bind(X_60,$fot(X_4))]]) ).
cnf(refute_0_267,plain,
multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) = multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))))]]) ).
cnf(refute_0_268,plain,
( multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) != multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))
| multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))) != double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)
| multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))),multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))) ),[1,1],$fot(double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))]]) ).
cnf(refute_0_269,plain,
( multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))) != double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)
| multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))),multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) = multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(double_divide(X_9,X_8))),bind(Y,$fot(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))))]]) ).
cnf(refute_0_272,plain,
( multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) != multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))
| multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) != multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))
| multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)))),bind(Y0,$fot(multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))))),bind(Z0,$fot(multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))))]]) ).
cnf(refute_0_273,plain,
( multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))) != multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))
| multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)),multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) = multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_9,X_8),multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X)))),multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))))]]) ).
cnf(refute_0_276,plain,
( multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) != multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)))
| multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) != multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))
| multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)))) ),[1,1],$fot(multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)))]]) ).
cnf(refute_0_277,plain,
( multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)) != multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))
| multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) = multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8)),multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) != multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)))
| multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) != inverse(X_4)
| multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),inverse(X_4)) ),[0],$fot(multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))))]]) ).
cnf(refute_0_280,plain,
( multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))) != inverse(X_4)
| multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X,multiply(double_divide(X_9,X_8),double_divide(double_divide(double_divide(X_10,X),multiply(multiply(X_8,X_9),X_10)),X_4))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_4),multiply(multiply(multiply(X_8,X_9),X_10),double_divide(X_10,X))),double_divide(X_9,X_8))),inverse(X_4)) )],[refute_0_265,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_126,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = inverse(X_128),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_126)),bind(X_10,$fot(X_127)),bind(X_4,$fot(X_128)),bind(X_8,$fot(double_divide(X_84,X_83))),bind(X_9,$fot(multiply(X_83,X_84)))]]) ).
cnf(refute_0_283,plain,
multiply(inverse(inverse(X_39)),multiply(X_54,inverse(X_39))) = X_54,
inference(subst,[],[refute_0_202:[bind(X_39,$fot(X_54)),bind(X_52,$fot(inverse(X_39)))]]) ).
cnf(refute_0_284,plain,
( multiply(inverse(inverse(X_39)),multiply(X_54,inverse(X_39))) != X_54
| inverse(inverse(X_39)) != X_39
| multiply(X_39,multiply(X_54,inverse(X_39))) = X_54 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_39)),multiply(X_54,inverse(X_39))),X_54) ),[0,0],$fot(X_39)]]) ).
cnf(refute_0_285,plain,
( multiply(inverse(inverse(X_39)),multiply(X_54,inverse(X_39))) != X_54
| multiply(X_39,multiply(X_54,inverse(X_39))) = X_54 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_196,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_39,multiply(X_54,inverse(X_39))) = X_54,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_39)),multiply(X_54,inverse(X_39))),X_54) )],[refute_0_283,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(X_39,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39))) = double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),
inference(subst,[],[refute_0_286:[bind(X_54,$fot(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))))]]) ).
cnf(refute_0_288,plain,
double_divide(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_289,plain,
( double_divide(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(X_16)) != X_16
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(X_16)),X_16) ),[0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_290,plain,
( double_divide(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(X_16)) != X_16
| double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_289]) ).
cnf(refute_0_291,plain,
double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(X_16)),X_16) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) = multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),
inference(subst,[],[refute_0_189:[bind(Z,$fot(multiply(multiply(X,Y),double_divide(Y,X))))]]) ).
cnf(refute_0_293,plain,
( double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) != X_16
| double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) != multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16)
| multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)),X_16) ),[0],$fot(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16))]]) ).
cnf(refute_0_294,plain,
( double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)) != X_16
| multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)),multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X,Y),double_divide(Y,X)),inverse(X_16)),X_16) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
inverse(multiply(multiply(X,Y),double_divide(Y,X))) = double_divide(double_divide(Y,X),multiply(X,Y)),
inference(subst,[],[refute_0_212:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_297,plain,
multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16))]]) ).
cnf(refute_0_298,plain,
( multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) != multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16)
| inverse(multiply(multiply(X,Y),double_divide(Y,X))) != double_divide(double_divide(Y,X),multiply(X,Y))
| multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16)) ),[1,0],$fot(double_divide(double_divide(Y,X),multiply(X,Y)))]]) ).
cnf(refute_0_299,plain,
( inverse(multiply(multiply(X,Y),double_divide(Y,X))) != double_divide(double_divide(Y,X),multiply(X,Y))
| multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) = multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),double_divide(Y,X))),double_divide(double_divide(Y,X),multiply(X,Y))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) != X_16
| multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) != multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16)
| multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),X_16) ),[0],$fot(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16))]]) ).
cnf(refute_0_302,plain,
( multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16) != X_16
| multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),double_divide(Y,X))),X_16),X_16) )],[refute_0_295,refute_0_302]) ).
cnf(refute_0_304,plain,
( double_divide(X_62,Y) != double_divide(Y,X_62)
| double_divide(Y,X_62) = double_divide(X_62,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_62,Y))),bind(Y0,$fot(double_divide(Y,X_62)))]]) ).
cnf(refute_0_305,plain,
double_divide(Y,X_62) = double_divide(X_62,Y),
inference(resolve,[$cnf( $equal(double_divide(X_62,Y),double_divide(Y,X_62)) )],[refute_0_236,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(double_divide(Y,X),multiply(X,Y)) = double_divide(multiply(X,Y),double_divide(Y,X)),
inference(subst,[],[refute_0_305:[bind(Y,$fot(double_divide(Y,X))),bind(X_62,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_307,plain,
multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16))]]) ).
cnf(refute_0_308,plain,
( multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) != multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16)
| double_divide(double_divide(Y,X),multiply(X,Y)) != double_divide(multiply(X,Y),double_divide(Y,X))
| multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16)) ),[1,0],$fot(double_divide(multiply(X,Y),double_divide(Y,X)))]]) ).
cnf(refute_0_309,plain,
( double_divide(double_divide(Y,X),multiply(X,Y)) != double_divide(multiply(X,Y),double_divide(Y,X))
| multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) = multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X,Y)),double_divide(multiply(X,Y),double_divide(Y,X))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) != X_16
| multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) != multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16)
| multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),X_16) ),[0],$fot(multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16))]]) ).
cnf(refute_0_312,plain,
( multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16) != X_16
| multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(double_divide(multiply(X,Y),double_divide(Y,X)),X_16) = X_16,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(Y,X),multiply(X,Y)),X_16),X_16) )],[refute_0_303,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39)) = inverse(X_39),
inference(subst,[],[refute_0_313:[bind(X,$fot(X_83)),bind(Y,$fot(X_84)),bind(X_16,$fot(inverse(X_39)))]]) ).
cnf(refute_0_315,plain,
( multiply(X_39,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39))) != double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))
| multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39)) != inverse(X_39)
| multiply(X_39,inverse(X_39)) = double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39))),double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))) ),[0,1],$fot(inverse(X_39))]]) ).
cnf(refute_0_316,plain,
( multiply(X_39,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39))) != double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))
| multiply(X_39,inverse(X_39)) = double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39)),inverse(X_39)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(X_39,inverse(X_39)) = double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),inverse(X_39))),double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))) )],[refute_0_287,refute_0_316]) ).
cnf(refute_0_318,plain,
( multiply(X_39,inverse(X_39)) != double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))
| double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)) = multiply(X_39,inverse(X_39)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_39,inverse(X_39)))),bind(Y0,$fot(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))))]]) ).
cnf(refute_0_319,plain,
double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)) = multiply(X_39,inverse(X_39)),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(X_39)),double_divide(multiply(X_83,X_84),double_divide(X_84,X_83))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
( multiply(X_126,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != inverse(X_128)
| double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)) != multiply(X_39,inverse(X_39))
| multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = inverse(X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),inverse(X_128)) ),[0,1,0],$fot(multiply(X_39,inverse(X_39)))]]) ).
cnf(refute_0_321,plain,
( multiply(X_126,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != inverse(X_128)
| multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = inverse(X_128) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),multiply(X_39,inverse(X_39))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = inverse(X_128),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(double_divide(multiply(X_83,X_84),double_divide(X_84,X_83)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),inverse(X_128)) )],[refute_0_282,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(inverse(multiply(inverse(double_divide(Y,X)),double_divide(Y,X))),inverse(X_24)) = X_24,
inference(subst,[],[refute_0_78:[bind(X_13,$fot(X_24)),bind(X_23,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_324,plain,
( double_divide(inverse(multiply(inverse(double_divide(Y,X)),double_divide(Y,X))),inverse(X_24)) != X_24
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(double_divide(Y,X)),double_divide(Y,X))),inverse(X_24)),X_24) ),[0,0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_325,plain,
( double_divide(inverse(multiply(inverse(double_divide(Y,X)),double_divide(Y,X))),inverse(X_24)) != X_24
| double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(double_divide(Y,X)),double_divide(Y,X))),inverse(X_24)),X_24) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) = multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),
inference(subst,[],[refute_0_189:[bind(Z,$fot(inverse(multiply(multiply(X,Y),double_divide(Y,X))))),bind(X_16,$fot(X_24))]]) ).
cnf(refute_0_328,plain,
( double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) != X_24
| double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) != multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24)
| multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)),X_24) ),[0],$fot(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24))]]) ).
cnf(refute_0_329,plain,
( double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)) != X_24
| multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = X_24 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)),multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = X_24,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(multiply(X,Y),double_divide(Y,X))),inverse(X_24)),X_24) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))) = multiply(multiply(X,Y),double_divide(Y,X)),
inference(subst,[],[refute_0_196:[bind(X_39,$fot(multiply(multiply(X,Y),double_divide(Y,X))))]]) ).
cnf(refute_0_332,plain,
multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24))]]) ).
cnf(refute_0_333,plain,
( multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) != multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24)
| inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))) != multiply(multiply(X,Y),double_divide(Y,X))
| multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24)) ),[1,0],$fot(multiply(multiply(X,Y),double_divide(Y,X)))]]) ).
cnf(refute_0_334,plain,
( inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))) != multiply(multiply(X,Y),double_divide(Y,X))
| multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) = multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),multiply(multiply(X,Y),double_divide(Y,X))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
( multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) != X_24
| multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) != multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24)
| multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),X_24) ),[0],$fot(multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24))]]) ).
cnf(refute_0_337,plain,
( multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24) != X_24
| multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24) = X_24 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(multiply(multiply(X,Y),double_divide(Y,X)),X_24) = X_24,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X,Y),double_divide(Y,X)))),X_24),X_24) )],[refute_0_330,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127) = X_127,
inference(subst,[],[refute_0_338:[bind(X,$fot(X_83)),bind(Y,$fot(X_84)),bind(X_24,$fot(X_127))]]) ).
cnf(refute_0_340,plain,
multiply(double_divide(X_84,X_83),multiply(X_83,X_84)) = multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),
inference(subst,[],[refute_0_246:[bind(X,$fot(multiply(X_83,X_84))),bind(Y,$fot(double_divide(X_84,X_83)))]]) ).
cnf(refute_0_341,plain,
multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127))]]) ).
cnf(refute_0_342,plain,
( multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) != multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)
| multiply(double_divide(X_84,X_83),multiply(X_83,X_84)) != multiply(multiply(X_83,X_84),double_divide(X_84,X_83))
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)) ),[1,0],$fot(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)))]]) ).
cnf(refute_0_343,plain,
( multiply(double_divide(X_84,X_83),multiply(X_83,X_84)) != multiply(multiply(X_83,X_84),double_divide(X_84,X_83))
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),multiply(multiply(X_83,X_84),double_divide(X_84,X_83))) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127) != X_127
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) != multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127)
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = X_127 ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127))),bind(Y0,$fot(multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127))),bind(Z0,$fot(X_127))]]) ).
cnf(refute_0_346,plain,
( multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127) != X_127
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = X_127 ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) = X_127,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_83,X_84),double_divide(X_84,X_83)),X_127),X_127) )],[refute_0_339,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) = multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))))]]) ).
cnf(refute_0_349,plain,
( multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) != multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) != X_127
| multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))) ),[1,0],$fot(X_127)]]) ).
cnf(refute_0_350,plain,
( multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127) != X_127
| multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),X_127) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(X_126,multiply(double_divide(X_130,X_129),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_126)),bind(X_10,$fot(X_127)),bind(X_4,$fot(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))),bind(X_8,$fot(X_129)),bind(X_9,$fot(X_130))]]) ).
cnf(refute_0_353,plain,
double_divide(double_divide(double_divide(X_39,X_62),X_39),double_divide(X_39,X_62)) = X_39,
inference(subst,[],[refute_0_232:[bind(X_52,$fot(double_divide(X_39,X_62)))]]) ).
cnf(refute_0_354,plain,
double_divide(double_divide(X_39,X_62),X_39) = X_62,
inference(subst,[],[refute_0_232:[bind(X_39,$fot(X_62)),bind(X_52,$fot(X_39))]]) ).
cnf(refute_0_355,plain,
( double_divide(double_divide(X_39,X_62),X_39) != X_62
| double_divide(double_divide(double_divide(X_39,X_62),X_39),double_divide(X_39,X_62)) != X_39
| double_divide(X_62,double_divide(X_39,X_62)) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_39,X_62),X_39),double_divide(X_39,X_62)),X_39) ),[0,0],$fot(X_62)]]) ).
cnf(refute_0_356,plain,
( double_divide(double_divide(double_divide(X_39,X_62),X_39),double_divide(X_39,X_62)) != X_39
| double_divide(X_62,double_divide(X_39,X_62)) = X_39 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_39,X_62),X_39),X_62) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
double_divide(X_62,double_divide(X_39,X_62)) = X_39,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_39,X_62),X_39),double_divide(X_39,X_62)),X_39) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(X_62,double_divide(inverse(X_68),X_62)) = inverse(X_68),
inference(subst,[],[refute_0_357:[bind(X_39,$fot(inverse(X_68)))]]) ).
cnf(refute_0_359,plain,
multiply(inverse(X_60),inverse(inverse(X_39))) = double_divide(inverse(X_39),X_60),
inference(subst,[],[refute_0_224:[bind(X_52,$fot(X_60)),bind(X_59,$fot(inverse(X_39)))]]) ).
cnf(refute_0_360,plain,
( multiply(inverse(X_60),inverse(inverse(X_39))) != double_divide(inverse(X_39),X_60)
| inverse(inverse(X_39)) != X_39
| multiply(inverse(X_60),X_39) = double_divide(inverse(X_39),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),inverse(inverse(X_39))),double_divide(inverse(X_39),X_60)) ),[0,1],$fot(X_39)]]) ).
cnf(refute_0_361,plain,
( multiply(inverse(X_60),inverse(inverse(X_39))) != double_divide(inverse(X_39),X_60)
| multiply(inverse(X_60),X_39) = double_divide(inverse(X_39),X_60) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_196,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(inverse(X_60),X_39) = double_divide(inverse(X_39),X_60),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),inverse(inverse(X_39))),double_divide(inverse(X_39),X_60)) )],[refute_0_359,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(inverse(X_62),X_68) = double_divide(inverse(X_68),X_62),
inference(subst,[],[refute_0_362:[bind(X_39,$fot(X_68)),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_364,plain,
( multiply(inverse(X_62),X_68) != double_divide(inverse(X_68),X_62)
| double_divide(inverse(X_68),X_62) = multiply(inverse(X_62),X_68) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_62),X_68))),bind(Y0,$fot(double_divide(inverse(X_68),X_62)))]]) ).
cnf(refute_0_365,plain,
double_divide(inverse(X_68),X_62) = multiply(inverse(X_62),X_68),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),X_68),double_divide(inverse(X_68),X_62)) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( double_divide(X_62,double_divide(inverse(X_68),X_62)) != inverse(X_68)
| double_divide(inverse(X_68),X_62) != multiply(inverse(X_62),X_68)
| double_divide(X_62,multiply(inverse(X_62),X_68)) = inverse(X_68) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_62,double_divide(inverse(X_68),X_62)),inverse(X_68)) ),[0,1],$fot(multiply(inverse(X_62),X_68))]]) ).
cnf(refute_0_367,plain,
( double_divide(X_62,double_divide(inverse(X_68),X_62)) != inverse(X_68)
| double_divide(X_62,multiply(inverse(X_62),X_68)) = inverse(X_68) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_68),X_62),multiply(inverse(X_62),X_68)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(X_62,multiply(inverse(X_62),X_68)) = inverse(X_68),
inference(resolve,[$cnf( $equal(double_divide(X_62,double_divide(inverse(X_68),X_62)),inverse(X_68)) )],[refute_0_358,refute_0_367]) ).
cnf(refute_0_369,plain,
double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = inverse(X_68),
inference(subst,[],[refute_0_368:[bind(X_62,$fot(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))]]) ).
cnf(refute_0_370,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) != inverse(X_68)
| multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))),inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))) ),[0,1,1],$fot(inverse(X_68))]]) ).
cnf(refute_0_371,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),inverse(X_68)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)),multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))),inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))) )],[refute_0_352,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(inverse(multiply(X_104,X_105)),inverse(X_59)) = double_divide(X_59,multiply(X_104,X_105)),
inference(subst,[],[refute_0_224:[bind(X_52,$fot(multiply(X_104,X_105)))]]) ).
cnf(refute_0_374,plain,
inverse(multiply(X_104,X_105)) = double_divide(X_105,X_104),
inference(subst,[],[refute_0_212:[bind(X,$fot(X_104)),bind(Y,$fot(X_105))]]) ).
cnf(refute_0_375,plain,
( multiply(inverse(multiply(X_104,X_105)),inverse(X_59)) != double_divide(X_59,multiply(X_104,X_105))
| inverse(multiply(X_104,X_105)) != double_divide(X_105,X_104)
| multiply(double_divide(X_105,X_104),inverse(X_59)) = double_divide(X_59,multiply(X_104,X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_104,X_105)),inverse(X_59)),double_divide(X_59,multiply(X_104,X_105))) ),[0,0],$fot(double_divide(X_105,X_104))]]) ).
cnf(refute_0_376,plain,
( multiply(inverse(multiply(X_104,X_105)),inverse(X_59)) != double_divide(X_59,multiply(X_104,X_105))
| multiply(double_divide(X_105,X_104),inverse(X_59)) = double_divide(X_59,multiply(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_104,X_105)),double_divide(X_105,X_104)) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(double_divide(X_105,X_104),inverse(X_59)) = double_divide(X_59,multiply(X_104,X_105)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_104,X_105)),inverse(X_59)),double_divide(X_59,multiply(X_104,X_105))) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(double_divide(X_130,X_129),inverse(X_68)) = double_divide(X_68,multiply(X_129,X_130)),
inference(subst,[],[refute_0_377:[bind(X_104,$fot(X_129)),bind(X_105,$fot(X_130)),bind(X_59,$fot(X_68))]]) ).
cnf(refute_0_379,plain,
multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),
introduced(tautology,[refl,[$fot(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))))]]) ).
cnf(refute_0_380,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) != multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68)))
| multiply(double_divide(X_130,X_129),inverse(X_68)) != double_divide(X_68,multiply(X_129,X_130))
| multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68)))) ),[1,1],$fot(double_divide(X_68,multiply(X_129,X_130)))]]) ).
cnf(refute_0_381,plain,
( multiply(double_divide(X_130,X_129),inverse(X_68)) != double_divide(X_68,multiply(X_129,X_130))
| multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) ),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) = multiply(X_126,double_divide(X_68,multiply(X_129,X_130))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_130,X_129),inverse(X_68)),double_divide(X_68,multiply(X_129,X_130))) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) != multiply(X_126,double_divide(X_68,multiply(X_129,X_130)))
| multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))) ),[0],$fot(multiply(X_126,double_divide(X_68,multiply(X_129,X_130))))]]) ).
cnf(refute_0_384,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) ),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),multiply(X_126,double_divide(X_68,multiply(X_129,X_130)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
double_divide(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),X_48) = multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),
inference(subst,[],[refute_0_152:[bind(X,$fot(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)))),bind(Y,$fot(X_48))]]) ).
cnf(refute_0_386,plain,
double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48) = double_divide(Y,X),
inference(subst,[],[refute_0_261:[bind(X_3,$fot(X_48))]]) ).
cnf(refute_0_387,plain,
( double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48) != double_divide(Y,X)
| double_divide(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),X_48) != multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))
| double_divide(double_divide(Y,X),X_48) = multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),X_48),multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))) ),[0,0],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_388,plain,
( double_divide(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),X_48) != multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))
| double_divide(double_divide(Y,X),X_48) = multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),double_divide(Y,X)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
double_divide(double_divide(Y,X),X_48) = multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)),X_48),X_48),multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( double_divide(double_divide(Y,X),X_48) != multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))
| multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)) = double_divide(double_divide(Y,X),X_48) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(double_divide(Y,X),X_48))),bind(Y0,$fot(multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))))]]) ).
cnf(refute_0_391,plain,
multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48)) = double_divide(double_divide(Y,X),X_48),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),X_48),multiply(multiply(multiply(X,Y),X_2),double_divide(X_2,X_48))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)) = double_divide(double_divide(X_130,X_129),X_126),
inference(subst,[],[refute_0_391:[bind(X,$fot(X_129)),bind(Y,$fot(X_130)),bind(X_2,$fot(X_127)),bind(X_48,$fot(X_126))]]) ).
cnf(refute_0_393,plain,
double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68))]]) ).
cnf(refute_0_394,plain,
( multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)) != double_divide(double_divide(X_130,X_129),X_126)
| double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)) ),[1,0],$fot(double_divide(double_divide(X_130,X_129),X_126))]]) ).
cnf(refute_0_395,plain,
( multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)) != double_divide(double_divide(X_130,X_129),X_126)
| double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),double_divide(double_divide(X_130,X_129),X_126)) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(inverse(X_69),double_divide(Y,X)) = double_divide(inverse(double_divide(Y,X)),X_69),
inference(subst,[],[refute_0_362:[bind(X_39,$fot(double_divide(Y,X))),bind(X_60,$fot(X_69))]]) ).
cnf(refute_0_398,plain,
( multiply(inverse(X_69),double_divide(Y,X)) != double_divide(inverse(double_divide(Y,X)),X_69)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(inverse(X_69),double_divide(Y,X)) = double_divide(multiply(X,Y),X_69) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_69),double_divide(Y,X)),double_divide(inverse(double_divide(Y,X)),X_69)) ),[1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_399,plain,
( multiply(inverse(X_69),double_divide(Y,X)) != double_divide(inverse(double_divide(Y,X)),X_69)
| multiply(inverse(X_69),double_divide(Y,X)) = double_divide(multiply(X,Y),X_69) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_4,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(inverse(X_69),double_divide(Y,X)) = double_divide(multiply(X,Y),X_69),
inference(resolve,[$cnf( $equal(multiply(inverse(X_69),double_divide(Y,X)),double_divide(inverse(double_divide(Y,X)),X_69)) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),
inference(subst,[],[refute_0_400:[bind(X,$fot(multiply(multiply(X_129,X_130),X_127))),bind(Y,$fot(double_divide(X_127,X_126))),bind(X_69,$fot(X_68))]]) ).
cnf(refute_0_402,plain,
double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) = multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),
inference(subst,[],[refute_0_189:[bind(Z,$fot(X_68)),bind(X_16,$fot(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))]]) ).
cnf(refute_0_403,plain,
( multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) != multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))
| double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))))),bind(Y0,$fot(multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))),bind(Z0,$fot(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)))]]) ).
cnf(refute_0_404,plain,
( multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) ),
inference(resolve,[$cnf( $equal(double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))),multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),
inference(resolve,[$cnf( $equal(multiply(inverse(X_68),double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))),
inference(subst,[],[refute_0_212:[bind(X,$fot(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))),bind(Y,$fot(X_68))]]) ).
cnf(refute_0_407,plain,
( double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) != double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))),bind(Y0,$fot(double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))))),bind(Z0,$fot(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)))]]) ).
cnf(refute_0_408,plain,
( double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),
inference(resolve,[$cnf( $equal(double_divide(X_68,inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127)))),double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) != double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) != double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))),bind(Y0,$fot(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68))),bind(Z0,$fot(double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)))]]) ).
cnf(refute_0_411,plain,
( double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68) != double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(X_129,X_130),X_127),double_divide(X_127,X_126)),X_68),double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)) )],[refute_0_396,refute_0_411]) ).
cnf(refute_0_413,plain,
( multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)) != double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)
| multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_126,double_divide(X_68,multiply(X_129,X_130))),double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)) ),[0],$fot(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)))]]) ).
cnf(refute_0_414,plain,
( multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68)),double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))) != inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))
| multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) ),
inference(resolve,[$cnf( $equal(multiply(X_126,double_divide(X_68,multiply(X_129,X_130))),inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))) )],[refute_0_384,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) = double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(double_divide(X_130,X_129),inverse(X_68))),inverse(multiply(inverse(double_divide(double_divide(X_127,X_126),multiply(multiply(X_129,X_130),X_127))),X_68))) )],[refute_0_372,refute_0_415]) ).
cnf(refute_0_417,plain,
( multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) != double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)
| double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) = multiply(X_126,double_divide(X_68,multiply(X_129,X_130))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_126,double_divide(X_68,multiply(X_129,X_130))))),bind(Y0,$fot(double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)))]]) ).
cnf(refute_0_418,plain,
double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68) = multiply(X_126,double_divide(X_68,multiply(X_129,X_130))),
inference(resolve,[$cnf( $equal(multiply(X_126,double_divide(X_68,multiply(X_129,X_130))),double_divide(double_divide(double_divide(X_130,X_129),X_126),X_68)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128) = multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),
inference(subst,[],[refute_0_418:[bind(X_126,$fot(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127))),bind(X_129,$fot(X_126)),bind(X_130,$fot(X_127)),bind(X_68,$fot(X_128))]]) ).
cnf(refute_0_420,plain,
multiply(double_divide(double_divide(X,X_58),X_58),X_58) = inverse(double_divide(X,X_58)),
inference(subst,[],[refute_0_220:[bind(X_54,$fot(X_58)),bind(X_55,$fot(double_divide(X,X_58)))]]) ).
cnf(refute_0_421,plain,
double_divide(double_divide(X,X_58),X_58) = X,
inference(subst,[],[refute_0_152:[bind(Y,$fot(X_58))]]) ).
cnf(refute_0_422,plain,
( multiply(double_divide(double_divide(X,X_58),X_58),X_58) != inverse(double_divide(X,X_58))
| double_divide(double_divide(X,X_58),X_58) != X
| multiply(X,X_58) = inverse(double_divide(X,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X,X_58),X_58),X_58),inverse(double_divide(X,X_58))) ),[0,0],$fot(X)]]) ).
cnf(refute_0_423,plain,
( multiply(double_divide(double_divide(X,X_58),X_58),X_58) != inverse(double_divide(X,X_58))
| multiply(X,X_58) = inverse(double_divide(X,X_58)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_58),X_58),X) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(X,X_58) = inverse(double_divide(X,X_58)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X,X_58),X_58),X_58),inverse(double_divide(X,X_58))) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(double_divide(X,X_58)) = multiply(X_58,X),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_58)),bind(Y,$fot(X))]]) ).
cnf(refute_0_426,plain,
( multiply(X,X_58) != inverse(double_divide(X,X_58))
| inverse(double_divide(X,X_58)) != multiply(X_58,X)
| multiply(X,X_58) = multiply(X_58,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,X_58),multiply(X_58,X)) ),[0],$fot(inverse(double_divide(X,X_58)))]]) ).
cnf(refute_0_427,plain,
( multiply(X,X_58) != inverse(double_divide(X,X_58))
| multiply(X,X_58) = multiply(X_58,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,X_58)),multiply(X_58,X)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(X,X_58) = multiply(X_58,X),
inference(resolve,[$cnf( $equal(multiply(X,X_58),inverse(double_divide(X,X_58))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( multiply(X,X_58) != multiply(X_58,X)
| multiply(X_58,X) = multiply(X,X_58) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_58))),bind(Y0,$fot(multiply(X_58,X)))]]) ).
cnf(refute_0_430,plain,
multiply(X_58,X) = multiply(X,X_58),
inference(resolve,[$cnf( $equal(multiply(X,X_58),multiply(X_58,X)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(inverse(X_46),X_46) = multiply(X_46,inverse(X_46)),
inference(subst,[],[refute_0_430:[bind(X,$fot(X_46)),bind(X_58,$fot(inverse(X_46)))]]) ).
cnf(refute_0_432,plain,
multiply(multiply(inverse(X_46),X_46),X_29) = multiply(multiply(inverse(X_46),X_46),X_29),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_46),X_46),X_29))]]) ).
cnf(refute_0_433,plain,
( multiply(multiply(inverse(X_46),X_46),X_29) != multiply(multiply(inverse(X_46),X_46),X_29)
| multiply(inverse(X_46),X_46) != multiply(X_46,inverse(X_46))
| multiply(multiply(inverse(X_46),X_46),X_29) = multiply(multiply(X_46,inverse(X_46)),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),X_29),multiply(multiply(inverse(X_46),X_46),X_29)) ),[1,0],$fot(multiply(X_46,inverse(X_46)))]]) ).
cnf(refute_0_434,plain,
( multiply(inverse(X_46),X_46) != multiply(X_46,inverse(X_46))
| multiply(multiply(inverse(X_46),X_46),X_29) = multiply(multiply(X_46,inverse(X_46)),X_29) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),X_29),multiply(multiply(inverse(X_46),X_46),X_29)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(multiply(inverse(X_46),X_46),X_29) = multiply(multiply(X_46,inverse(X_46)),X_29),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),X_46),multiply(X_46,inverse(X_46))) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( multiply(multiply(inverse(X_46),X_46),X_29) != X_29
| multiply(multiply(inverse(X_46),X_46),X_29) != multiply(multiply(X_46,inverse(X_46)),X_29)
| multiply(multiply(X_46,inverse(X_46)),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),X_29),X_29) ),[0],$fot(multiply(multiply(X_46,inverse(X_46)),X_29))]]) ).
cnf(refute_0_437,plain,
( multiply(multiply(inverse(X_46),X_46),X_29) != X_29
| multiply(multiply(X_46,inverse(X_46)),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),X_29),multiply(multiply(X_46,inverse(X_46)),X_29)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(multiply(X_46,inverse(X_46)),X_29) = X_29,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_46),X_46),X_29),X_29) )],[refute_0_156,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128),
inference(subst,[],[refute_0_438:[bind(X_29,$fot(double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),bind(X_46,$fot(X_39))]]) ).
cnf(refute_0_440,plain,
( multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) != double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)
| double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128) != multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)))),bind(Y0,$fot(double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),bind(Z0,$fot(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))))]]) ).
cnf(refute_0_441,plain,
( double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128) != multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128),multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))) )],[refute_0_419,refute_0_441]) ).
cnf(refute_0_443,plain,
( multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) != multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) != multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))) ),
inference(subst,[],[refute_0_12:[bind(X0,$fot(multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)))),bind(Y0,$fot(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))))),bind(Z0,$fot(multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))))]]) ).
cnf(refute_0_444,plain,
( multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))) != multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))
| multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)),multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) = multiply(X_127,double_divide(X_128,multiply(X_126,X_127))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127),double_divide(X_128,multiply(X_126,X_127))),multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) )],[refute_0_351,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),
introduced(tautology,[refl,[$fot(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))))]]) ).
cnf(refute_0_447,plain,
( multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)))
| multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) != multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))
| multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)))) ),[1,1],$fot(multiply(X_127,double_divide(X_128,multiply(X_126,X_127))))]]) ).
cnf(refute_0_448,plain,
( multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)) != multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))
| multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) ),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) = multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128)),multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127))))
| multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != inverse(X_128)
| multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) = inverse(X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),inverse(X_128)) ),[0],$fot(multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))))]]) ).
cnf(refute_0_451,plain,
( multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))) != inverse(X_128)
| multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) = inverse(X_128) ),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(X_126,multiply(X_127,double_divide(X_128,multiply(X_126,X_127)))) = inverse(X_128),
inference(resolve,[$cnf( $equal(multiply(X_126,multiply(multiply(X_39,inverse(X_39)),double_divide(double_divide(double_divide(X_127,X_126),multiply(multiply(double_divide(X_84,X_83),multiply(X_83,X_84)),X_127)),X_128))),inverse(X_128)) )],[refute_0_322,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(X_131,multiply(X_132,double_divide(inverse(X_39),multiply(X_131,X_132)))) = inverse(inverse(X_39)),
inference(subst,[],[refute_0_452:[bind(X_126,$fot(X_131)),bind(X_127,$fot(X_132)),bind(X_128,$fot(inverse(X_39)))]]) ).
cnf(refute_0_454,plain,
multiply(inverse(multiply(X_131,X_132)),X_39) = double_divide(inverse(X_39),multiply(X_131,X_132)),
inference(subst,[],[refute_0_362:[bind(X_60,$fot(multiply(X_131,X_132)))]]) ).
cnf(refute_0_455,plain,
( multiply(inverse(multiply(X_131,X_132)),X_39) != double_divide(inverse(X_39),multiply(X_131,X_132))
| double_divide(inverse(X_39),multiply(X_131,X_132)) = multiply(inverse(multiply(X_131,X_132)),X_39) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(multiply(X_131,X_132)),X_39))),bind(Y0,$fot(double_divide(inverse(X_39),multiply(X_131,X_132))))]]) ).
cnf(refute_0_456,plain,
double_divide(inverse(X_39),multiply(X_131,X_132)) = multiply(inverse(multiply(X_131,X_132)),X_39),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_131,X_132)),X_39),double_divide(inverse(X_39),multiply(X_131,X_132))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( multiply(X_131,multiply(X_132,double_divide(inverse(X_39),multiply(X_131,X_132)))) != inverse(inverse(X_39))
| double_divide(inverse(X_39),multiply(X_131,X_132)) != multiply(inverse(multiply(X_131,X_132)),X_39)
| multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = inverse(inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_131,multiply(X_132,double_divide(inverse(X_39),multiply(X_131,X_132)))),inverse(inverse(X_39))) ),[0,1,1],$fot(multiply(inverse(multiply(X_131,X_132)),X_39))]]) ).
cnf(refute_0_458,plain,
( multiply(X_131,multiply(X_132,double_divide(inverse(X_39),multiply(X_131,X_132)))) != inverse(inverse(X_39))
| multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),multiply(X_131,X_132)),multiply(inverse(multiply(X_131,X_132)),X_39)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = inverse(inverse(X_39)),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_132,double_divide(inverse(X_39),multiply(X_131,X_132)))),inverse(inverse(X_39))) )],[refute_0_453,refute_0_458]) ).
cnf(refute_0_460,plain,
inverse(multiply(X_131,X_132)) = double_divide(X_132,X_131),
inference(subst,[],[refute_0_212:[bind(X,$fot(X_131)),bind(Y,$fot(X_132))]]) ).
cnf(refute_0_461,plain,
multiply(inverse(multiply(X_131,X_132)),X_39) = multiply(inverse(multiply(X_131,X_132)),X_39),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_131,X_132)),X_39))]]) ).
cnf(refute_0_462,plain,
( multiply(inverse(multiply(X_131,X_132)),X_39) != multiply(inverse(multiply(X_131,X_132)),X_39)
| inverse(multiply(X_131,X_132)) != double_divide(X_132,X_131)
| multiply(inverse(multiply(X_131,X_132)),X_39) = multiply(double_divide(X_132,X_131),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_131,X_132)),X_39),multiply(inverse(multiply(X_131,X_132)),X_39)) ),[1,0],$fot(double_divide(X_132,X_131))]]) ).
cnf(refute_0_463,plain,
( inverse(multiply(X_131,X_132)) != double_divide(X_132,X_131)
| multiply(inverse(multiply(X_131,X_132)),X_39) = multiply(double_divide(X_132,X_131),X_39) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_131,X_132)),X_39),multiply(inverse(multiply(X_131,X_132)),X_39)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(inverse(multiply(X_131,X_132)),X_39) = multiply(double_divide(X_132,X_131),X_39),
inference(resolve,[$cnf( $equal(inverse(multiply(X_131,X_132)),double_divide(X_132,X_131)) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) = multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)),
introduced(tautology,[refl,[$fot(multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)))]]) ).
cnf(refute_0_466,plain,
( multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) != multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))
| multiply(inverse(multiply(X_131,X_132)),X_39) != multiply(double_divide(X_132,X_131),X_39)
| multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) = multiply(X_132,multiply(double_divide(X_132,X_131),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)),multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) ),[1,1],$fot(multiply(double_divide(X_132,X_131),X_39))]]) ).
cnf(refute_0_467,plain,
( multiply(inverse(multiply(X_131,X_132)),X_39) != multiply(double_divide(X_132,X_131),X_39)
| multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) = multiply(X_132,multiply(double_divide(X_132,X_131),X_39)) ),
inference(resolve,[$cnf( $equal(multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)),multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) = multiply(X_132,multiply(double_divide(X_132,X_131),X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_131,X_132)),X_39),multiply(double_divide(X_132,X_131),X_39)) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),
introduced(tautology,[refl,[$fot(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))))]]) ).
cnf(refute_0_470,plain,
( multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) != multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)))
| multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) != multiply(X_132,multiply(double_divide(X_132,X_131),X_39))
| multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)))) ),[1,1],$fot(multiply(X_132,multiply(double_divide(X_132,X_131),X_39)))]]) ).
cnf(refute_0_471,plain,
( multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)) != multiply(X_132,multiply(double_divide(X_132,X_131),X_39))
| multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) ),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) = multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))),
inference(resolve,[$cnf( $equal(multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39)),multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
( multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) != multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39)))
| multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) != inverse(inverse(X_39))
| multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = inverse(inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),inverse(inverse(X_39))) ),[0],$fot(multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))))]]) ).
cnf(refute_0_474,plain,
( multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) != inverse(inverse(X_39))
| multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
( multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) != inverse(inverse(X_39))
| inverse(inverse(X_39)) != X_39
| multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = X_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))),X_39) ),[0],$fot(inverse(inverse(X_39)))]]) ).
cnf(refute_0_476,plain,
( multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) != inverse(inverse(X_39))
| multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = X_39 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_196,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))) != inverse(inverse(X_39))
| multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))),inverse(inverse(X_39))) )],[refute_0_474,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(X_131,multiply(X_132,multiply(double_divide(X_132,X_131),X_39))) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_132,multiply(inverse(multiply(X_131,X_132)),X_39))),inverse(inverse(X_39))) )],[refute_0_459,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(X_164,multiply(X_165,multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))))) = multiply(X_54,inverse(double_divide(X_165,X_164))),
inference(subst,[],[refute_0_478:[bind(X_131,$fot(X_164)),bind(X_132,$fot(X_165)),bind(X_39,$fot(multiply(X_54,inverse(double_divide(X_165,X_164)))))]]) ).
cnf(refute_0_480,plain,
multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))) = X_54,
inference(subst,[],[refute_0_286:[bind(X_39,$fot(double_divide(X_165,X_164)))]]) ).
cnf(refute_0_481,plain,
( multiply(X_164,multiply(X_165,multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))))) != multiply(X_54,inverse(double_divide(X_165,X_164)))
| multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))) != X_54
| multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,inverse(double_divide(X_165,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_164,multiply(X_165,multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))))),multiply(X_54,inverse(double_divide(X_165,X_164)))) ),[0,1,1],$fot(X_54)]]) ).
cnf(refute_0_482,plain,
( multiply(X_164,multiply(X_165,multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))))) != multiply(X_54,inverse(double_divide(X_165,X_164)))
| multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,inverse(double_divide(X_165,X_164))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))),X_54) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,inverse(double_divide(X_165,X_164))),
inference(resolve,[$cnf( $equal(multiply(X_164,multiply(X_165,multiply(double_divide(X_165,X_164),multiply(X_54,inverse(double_divide(X_165,X_164)))))),multiply(X_54,inverse(double_divide(X_165,X_164)))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
inverse(double_divide(X_165,X_164)) = multiply(X_164,X_165),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_164)),bind(Y,$fot(X_165))]]) ).
cnf(refute_0_485,plain,
multiply(X_54,inverse(double_divide(X_165,X_164))) = multiply(X_54,inverse(double_divide(X_165,X_164))),
introduced(tautology,[refl,[$fot(multiply(X_54,inverse(double_divide(X_165,X_164))))]]) ).
cnf(refute_0_486,plain,
( multiply(X_54,inverse(double_divide(X_165,X_164))) != multiply(X_54,inverse(double_divide(X_165,X_164)))
| inverse(double_divide(X_165,X_164)) != multiply(X_164,X_165)
| multiply(X_54,inverse(double_divide(X_165,X_164))) = multiply(X_54,multiply(X_164,X_165)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_54,inverse(double_divide(X_165,X_164))),multiply(X_54,inverse(double_divide(X_165,X_164)))) ),[1,1],$fot(multiply(X_164,X_165))]]) ).
cnf(refute_0_487,plain,
( inverse(double_divide(X_165,X_164)) != multiply(X_164,X_165)
| multiply(X_54,inverse(double_divide(X_165,X_164))) = multiply(X_54,multiply(X_164,X_165)) ),
inference(resolve,[$cnf( $equal(multiply(X_54,inverse(double_divide(X_165,X_164))),multiply(X_54,inverse(double_divide(X_165,X_164)))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(X_54,inverse(double_divide(X_165,X_164))) = multiply(X_54,multiply(X_164,X_165)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_165,X_164)),multiply(X_164,X_165)) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
( multiply(X_164,multiply(X_165,X_54)) != multiply(X_54,inverse(double_divide(X_165,X_164)))
| multiply(X_54,inverse(double_divide(X_165,X_164))) != multiply(X_54,multiply(X_164,X_165))
| multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,multiply(X_164,X_165)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_164,multiply(X_165,X_54)),multiply(X_54,multiply(X_164,X_165))) ),[0],$fot(multiply(X_54,inverse(double_divide(X_165,X_164))))]]) ).
cnf(refute_0_490,plain,
( multiply(X_164,multiply(X_165,X_54)) != multiply(X_54,inverse(double_divide(X_165,X_164)))
| multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,multiply(X_164,X_165)) ),
inference(resolve,[$cnf( $equal(multiply(X_54,inverse(double_divide(X_165,X_164))),multiply(X_54,multiply(X_164,X_165))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(X_164,multiply(X_165,X_54)) = multiply(X_54,multiply(X_164,X_165)),
inference(resolve,[$cnf( $equal(multiply(X_164,multiply(X_165,X_54)),multiply(X_54,inverse(double_divide(X_165,X_164)))) )],[refute_0_483,refute_0_490]) ).
cnf(refute_0_492,plain,
( multiply(X_164,multiply(X_165,X_54)) != multiply(X_54,multiply(X_164,X_165))
| multiply(X_54,multiply(X_164,X_165)) = multiply(X_164,multiply(X_165,X_54)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_164,multiply(X_165,X_54)))),bind(Y0,$fot(multiply(X_54,multiply(X_164,X_165))))]]) ).
cnf(refute_0_493,plain,
multiply(X_54,multiply(X_164,X_165)) = multiply(X_164,multiply(X_165,X_54)),
inference(resolve,[$cnf( $equal(multiply(X_164,multiply(X_165,X_54)),multiply(X_54,multiply(X_164,X_165))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_493:[bind(X_164,$fot(a3)),bind(X_165,$fot(b3)),bind(X_54,$fot(c3))]]) ).
cnf(refute_0_495,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_496,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_496,refute_0_256]) ).
cnf(refute_0_498,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_499,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_498,refute_0_497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP105-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.05/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 11:56:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.98/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.98/1.16
% 0.98/1.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.03/1.23
%------------------------------------------------------------------------------