TSTP Solution File: GRP103-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 10:34:48 EDT 2022
% Result : Unsatisfiable 0.18s 0.57s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 125
% Number of leaves : 287
% Syntax : Number of clauses : 1103 ( 541 unt; 0 nHn; 562 RR)
% Number of literals : 1933 (1932 equ; 839 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 1791 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = double_divide(double_divide(Y,X),identity) ).
cnf(inverse,axiom,
inverse(X) = double_divide(X,identity) ).
cnf(identity,axiom,
identity = double_divide(X,inverse(X)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,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( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(X) != double_divide(X,identity)
| double_divide(X,identity) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(double_divide(X,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(X,identity) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),double_divide(X,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(Y,X),identity) = inverse(double_divide(Y,X)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_6,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| double_divide(double_divide(Y,X),identity) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[0],$fot(double_divide(double_divide(Y,X),identity))]]) ).
cnf(refute_0_7,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),identity),inverse(double_divide(Y,X))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_10,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_12,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| multiply(inverse(X_3),X_3) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)))]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_19,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) != Z
| double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),Z) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)) != Z
| double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),inverse(identity)) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),Z) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(identity))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_25,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_26,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_27,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,double_divide(inverse(identity),identity)))),inverse(identity)) = X_21,
inference(subst,[],[refute_0_30:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_21))]]) ).
cnf(refute_0_32,plain,
inverse(inverse(identity)) = double_divide(inverse(identity),identity),
inference(subst,[],[inverse:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_33,plain,
( inverse(inverse(identity)) != double_divide(inverse(identity),identity)
| double_divide(inverse(identity),identity) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(identity)))),bind(Y0,$fot(double_divide(inverse(identity),identity)))]]) ).
cnf(refute_0_34,plain,
double_divide(inverse(identity),identity) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(identity),identity)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,double_divide(inverse(identity),identity)))),inverse(identity)) != X_21
| double_divide(inverse(identity),identity) != inverse(inverse(identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,double_divide(inverse(identity),identity)))),inverse(identity)),X_21) ),[0,0,1,1,1],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,double_divide(inverse(identity),identity)))),inverse(identity)) != X_21
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = X_21 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = X_21,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,double_divide(inverse(identity),identity)))),inverse(identity)),X_21) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity))))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_37:[bind(X_21,$fot(inverse(identity)))]]) ).
cnf(refute_0_39,plain,
identity = double_divide(inverse(identity),inverse(inverse(identity))),
inference(subst,[],[identity:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_40,plain,
( identity != double_divide(inverse(identity),inverse(inverse(identity)))
| double_divide(inverse(identity),inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(identity),inverse(inverse(identity)))))]]) ).
cnf(refute_0_41,plain,
double_divide(inverse(identity),inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity))))),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(inverse(identity))) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity))))),inverse(identity)),inverse(identity)) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_43,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity))))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(identity))),identity) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(inverse(identity))))),inverse(identity)),inverse(identity)) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,identity)))]]) ).
cnf(refute_0_46,plain,
( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_47,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,identity))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_47]) ).
cnf(refute_0_49,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_50,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_49]) ).
cnf(refute_0_51,plain,
( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,identity)) = identity ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(identity,identity)))),bind(Y0,$fot(double_divide(identity,inverse(identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_52,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,inverse(identity))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(identity,double_divide(identity,identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_27,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_55,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))
| double_divide(identity,double_divide(identity,identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_56,plain,
( double_divide(identity,double_divide(identity,identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),identity) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))),bind(Y0,$fot(double_divide(identity,inverse(identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_59,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(identity,inverse(identity))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_27,refute_0_59]) ).
cnf(refute_0_61,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),identity) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(identity)) )],[refute_0_44,refute_0_62]) ).
cnf(refute_0_64,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_65,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_67]) ).
cnf(refute_0_69,plain,
multiply(inverse(a1),a1) = identity,
inference(subst,[],[refute_0_68:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(a1),a1) != identity
| identity != identity
| multiply(inverse(a1),a1) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_71,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_71,prove_these_axioms]) ).
cnf(refute_0_73,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_74,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_75,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_76,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_78,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_23:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_81,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_82,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_83,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_85,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))]]) ).
cnf(refute_0_89,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),double_divide(X_12,identity))
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_90,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))))]]) ).
cnf(refute_0_93,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,X_11),inverse(X_12)))]]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),inverse(X_12))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_97,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))]]) ).
cnf(refute_0_98,plain,
( double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_86,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) = double_divide(identity,X_13),
inference(subst,[],[refute_0_102:[bind(X_11,$fot(X_13)),bind(X_12,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_104,plain,
identity = double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_105,plain,
( identity != double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))
| double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))))]]) ).
cnf(refute_0_106,plain,
double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) != identity
| double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_108,plain,
( double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),identity) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_13)))]]) ).
cnf(refute_0_111,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(double_divide(inverse(X_13),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_13),identity),inverse(identity)))]]) ).
cnf(refute_0_112,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(double_divide(inverse(X_13),identity),inverse(identity))
| double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_116,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_109,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_119,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_120,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_121,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_121]) ).
cnf(refute_0_123,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),identity)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(inverse(X_13)),identity))),bind(Z0,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_124,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),identity)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_118,refute_0_124]) ).
cnf(refute_0_126,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_127,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
inverse(inverse(inverse(X_13))) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_117,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(inverse(inverse(inverse(multiply(X_59,identity))))) = double_divide(identity,inverse(multiply(X_59,identity))),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(inverse(multiply(X_59,identity))))]]) ).
cnf(refute_0_130,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_23:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(double_divide(X_3,X_2))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_131,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_132,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_133,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,X_3))),bind(Y0,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_134,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_136,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_131,refute_0_136]) ).
cnf(refute_0_138,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_139,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_141,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) )],[refute_0_130,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))]]) ).
cnf(refute_0_144,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_145,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_87,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))))]]) ).
cnf(refute_0_148,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_149,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_152,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))]]) ).
cnf(refute_0_153,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_156,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_142,refute_0_156]) ).
cnf(refute_0_158,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_159,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_158]) ).
cnf(refute_0_160,plain,
inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),bind(Y,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_161,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))]]) ).
cnf(refute_0_162,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))
| inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Y0,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))),bind(Z0,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_163,plain,
( inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_166,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_167,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_167]) ).
cnf(refute_0_169,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Z0,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_170,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_164,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_173,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) )],[refute_0_157,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(inverse(inverse(double_divide(Y,X))),inverse(identity)) = double_divide(identity,double_divide(Y,X)),
inference(subst,[],[refute_0_117:[bind(X_13,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_176,plain,
( double_divide(inverse(inverse(double_divide(Y,X))),inverse(identity)) != double_divide(identity,double_divide(Y,X))
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(identity,double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(double_divide(Y,X))),inverse(identity)),double_divide(identity,double_divide(Y,X))) ),[0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_177,plain,
( double_divide(inverse(inverse(double_divide(Y,X))),inverse(identity)) != double_divide(identity,double_divide(Y,X))
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(identity,double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_159,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(identity,double_divide(Y,X)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(Y,X))),inverse(identity)),double_divide(identity,double_divide(Y,X))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
double_divide(inverse(multiply(X,Y)),identity) = inverse(inverse(multiply(X,Y))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_180,plain,
double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(inverse(multiply(X,Y)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(X,Y)),inverse(identity)))]]) ).
cnf(refute_0_181,plain,
( double_divide(inverse(multiply(X,Y)),inverse(identity)) != double_divide(inverse(multiply(X,Y)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(inverse(multiply(X,Y)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(inverse(multiply(X,Y)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_182,plain,
( inverse(identity) != identity
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(inverse(multiply(X,Y)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(inverse(multiply(X,Y)),inverse(identity))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
double_divide(inverse(multiply(X,Y)),inverse(identity)) = double_divide(inverse(multiply(X,Y)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_182]) ).
cnf(refute_0_184,plain,
( double_divide(inverse(multiply(X,Y)),identity) != inverse(inverse(multiply(X,Y)))
| double_divide(inverse(multiply(X,Y)),inverse(identity)) != double_divide(inverse(multiply(X,Y)),identity)
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = inverse(inverse(multiply(X,Y))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(multiply(X,Y)),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(multiply(X,Y)),identity))),bind(Z0,$fot(inverse(inverse(multiply(X,Y)))))]]) ).
cnf(refute_0_185,plain,
( double_divide(inverse(multiply(X,Y)),identity) != inverse(inverse(multiply(X,Y)))
| double_divide(inverse(multiply(X,Y)),inverse(identity)) = inverse(inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(inverse(multiply(X,Y)),identity)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(inverse(multiply(X,Y)),inverse(identity)) = inverse(inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),identity),inverse(inverse(multiply(X,Y)))) )],[refute_0_179,refute_0_185]) ).
cnf(refute_0_187,plain,
( double_divide(inverse(multiply(X,Y)),inverse(identity)) != double_divide(identity,double_divide(Y,X))
| double_divide(inverse(multiply(X,Y)),inverse(identity)) != inverse(inverse(multiply(X,Y)))
| inverse(inverse(multiply(X,Y))) = double_divide(identity,double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(identity,double_divide(Y,X))) ),[0],$fot(inverse(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_188,plain,
( double_divide(inverse(multiply(X,Y)),inverse(identity)) != double_divide(identity,double_divide(Y,X))
| inverse(inverse(multiply(X,Y))) = double_divide(identity,double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),inverse(inverse(multiply(X,Y)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(inverse(multiply(X,Y))) = double_divide(identity,double_divide(Y,X)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(identity,double_divide(Y,X))) )],[refute_0_178,refute_0_188]) ).
cnf(refute_0_190,plain,
( inverse(inverse(multiply(X,Y))) != double_divide(identity,double_divide(Y,X))
| double_divide(identity,double_divide(Y,X)) = inverse(inverse(multiply(X,Y))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(multiply(X,Y))))),bind(Y0,$fot(double_divide(identity,double_divide(Y,X))))]]) ).
cnf(refute_0_191,plain,
double_divide(identity,double_divide(Y,X)) = inverse(inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X,Y))),double_divide(identity,double_divide(Y,X))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
double_divide(identity,double_divide(X_3,X_2)) = inverse(inverse(multiply(X_2,X_3))),
inference(subst,[],[refute_0_191:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_193,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_194,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),[1,0],$fot(inverse(inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_195,plain,
( double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_3,X_2)),inverse(inverse(multiply(X_2,X_3)))) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_198,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) ),[1,0],$fot(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)))]]) ).
cnf(refute_0_199,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) ),[0],$fot(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_202,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) )],[refute_0_174,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(double_divide(inverse(inverse(multiply(double_divide(identity,X_21),identity))),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) = X_48,
inference(subst,[],[refute_0_203:[bind(X_12,$fot(X_48)),bind(X_2,$fot(double_divide(identity,X_21))),bind(X_3,$fot(identity))]]) ).
cnf(refute_0_205,plain,
double_divide(multiply(double_divide(identity,X_21),identity),identity) = inverse(multiply(double_divide(identity,X_21),identity)),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(double_divide(identity,X_21),identity)))]]) ).
cnf(refute_0_206,plain,
double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)))]]) ).
cnf(refute_0_207,plain,
( double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_208,plain,
( inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_208]) ).
cnf(refute_0_210,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_211,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_212,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_211]) ).
cnf(refute_0_213,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_210,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) = X_19,
inference(subst,[],[refute_0_213:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_19))]]) ).
cnf(refute_0_215,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) ),[0,0,1,1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_216,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) )],[refute_0_214,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(subst,[],[refute_0_217:[bind(X_19,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))))]]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) = X_14,
inference(subst,[],[refute_0_102:[bind(X_11,$fot(identity)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_220,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_221,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_220]) ).
cnf(refute_0_222,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_219,refute_0_221]) ).
cnf(refute_0_223,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0,0,1,1],$fot(X_14)]]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_218,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)))),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),
inference(subst,[],[refute_0_217:[bind(X_19,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity))))))]]) ).
cnf(refute_0_227,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)) = X_23,
inference(subst,[],[refute_0_217:[bind(X_19,$fot(X_23))]]) ).
cnf(refute_0_228,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)) != X_23
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_23)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity))))) ),[0,0,1,1],$fot(X_23)]]) ).
cnf(refute_0_229,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_23)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)),X_23) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_23)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_23,inverse(identity))))) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),
inference(subst,[],[refute_0_230:[bind(X_23,$fot(X_14))]]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0],$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))))]]) ).
cnf(refute_0_233,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity))))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_225,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_14),inverse(identity)))]]) ).
cnf(refute_0_236,plain,
( multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_237,plain,
( inverse(identity) != identity
| multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),inverse(identity))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(X_14,identity) = inverse(X_14),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_240,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_14,inverse(identity)))]]) ).
cnf(refute_0_241,plain,
( double_divide(X_14,inverse(identity)) != double_divide(X_14,inverse(identity))
| inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_242,plain,
( inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_242]) ).
cnf(refute_0_244,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) != double_divide(X_14,identity)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(X_14,inverse(identity)))),bind(Y0,$fot(double_divide(X_14,identity))),bind(Z0,$fot(inverse(X_14)))]]) ).
cnf(refute_0_245,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,identity)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(X_14,inverse(identity)) = inverse(X_14),
inference(resolve,[$cnf( $equal(double_divide(X_14,identity),inverse(X_14)) )],[refute_0_239,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(double_divide(X_14,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_248,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(double_divide(X_14,inverse(identity)),inverse(identity))
| double_divide(X_14,inverse(identity)) != inverse(X_14)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(double_divide(X_14,inverse(identity)),inverse(identity))) ),[1,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_249,plain,
( double_divide(X_14,inverse(identity)) != inverse(X_14)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(double_divide(X_14,inverse(identity)),inverse(identity))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),inverse(X_14)) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),inverse(identity))
| multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),identity)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),bind(Y0,$fot(multiply(inverse(X_14),inverse(identity)))),bind(Z0,$fot(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_252,plain,
( multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),identity)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(inverse(X_14),inverse(identity))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_238,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_255,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),identity)
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) ),[1,0],$fot(multiply(inverse(X_14),identity))]]) ).
cnf(refute_0_256,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),identity)
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))))]]) ).
cnf(refute_0_259,plain,
( inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(inverse(X_14),identity))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) ),[1,0],$fot(inverse(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_260,plain,
( inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(inverse(X_14),identity))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(inverse(X_14),identity))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),
inference(subst,[],[refute_0_191:[bind(X,$fot(double_divide(X_14,inverse(identity)))),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_263,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))))),bind(Z0,$fot(inverse(inverse(multiply(inverse(X_14),identity)))))]]) ).
cnf(refute_0_264,plain,
( inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(inverse(X_14),identity)))) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| inverse(inverse(multiply(inverse(X_14),identity))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0],$fot(inverse(inverse(multiply(inverse(X_14),identity))))]]) ).
cnf(refute_0_267,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),inverse(inverse(multiply(inverse(X_14),identity)))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(inverse(inverse(X_15)),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_269,plain,
double_divide(inverse(inverse(X_15)),inverse(identity)) = double_divide(identity,X_15),
inference(subst,[],[refute_0_117:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_270,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| double_divide(inverse(inverse(X_15)),inverse(identity)) != double_divide(identity,X_15)
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) ),[1,0],$fot(double_divide(identity,X_15))]]) ).
cnf(refute_0_271,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_15)),inverse(identity)),double_divide(identity,X_15)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(double_divide(identity,X_15)) = multiply(X_15,identity),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_15)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_274,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(inverse(double_divide(identity,X_15)))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_15)),multiply(X_15,identity)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(identity,X_15))) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(inverse(identity),inverse(inverse(double_divide(Y,X)))) = multiply(double_divide(Y,X),identity),
inference(subst,[],[refute_0_276:[bind(X_15,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_278,plain,
( multiply(inverse(identity),inverse(inverse(double_divide(Y,X)))) != multiply(double_divide(Y,X),identity)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(double_divide(Y,X),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(double_divide(Y,X)))),multiply(double_divide(Y,X),identity)) ),[0,1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(identity),inverse(inverse(double_divide(Y,X)))) != multiply(double_divide(Y,X),identity)
| multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(double_divide(Y,X),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_159,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(double_divide(Y,X),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(double_divide(Y,X)))),multiply(double_divide(Y,X),identity)) )],[refute_0_277,refute_0_279]) ).
cnf(refute_0_281,plain,
inverse(inverse(inverse(multiply(X,Y)))) = double_divide(identity,multiply(X,Y)),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_282,plain,
multiply(identity,inverse(multiply(X,Y))) = inverse(inverse(inverse(multiply(X,Y)))),
inference(subst,[],[refute_0_79:[bind(X_3,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_283,plain,
( multiply(identity,inverse(multiply(X,Y))) != inverse(inverse(inverse(multiply(X,Y))))
| inverse(inverse(inverse(multiply(X,Y)))) != double_divide(identity,multiply(X,Y))
| multiply(identity,inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(identity,inverse(multiply(X,Y))))),bind(Y0,$fot(inverse(inverse(inverse(multiply(X,Y)))))),bind(Z0,$fot(double_divide(identity,multiply(X,Y))))]]) ).
cnf(refute_0_284,plain,
( inverse(inverse(inverse(multiply(X,Y)))) != double_divide(identity,multiply(X,Y))
| multiply(identity,inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(X,Y))),inverse(inverse(inverse(multiply(X,Y))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(identity,inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X,Y)))),double_divide(identity,multiply(X,Y))) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(inverse(identity),inverse(multiply(X,Y))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(multiply(X,Y))))]]) ).
cnf(refute_0_287,plain,
( multiply(inverse(identity),inverse(multiply(X,Y))) != multiply(inverse(identity),inverse(multiply(X,Y)))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(identity,inverse(multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(inverse(identity),inverse(multiply(X,Y)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_288,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(identity,inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(inverse(identity),inverse(multiply(X,Y)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(inverse(identity),inverse(multiply(X,Y))) = multiply(identity,inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(identity,inverse(multiply(X,Y))) != double_divide(identity,multiply(X,Y))
| multiply(inverse(identity),inverse(multiply(X,Y))) != multiply(identity,inverse(multiply(X,Y)))
| multiply(inverse(identity),inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(inverse(identity),inverse(multiply(X,Y))))),bind(Y0,$fot(multiply(identity,inverse(multiply(X,Y))))),bind(Z0,$fot(double_divide(identity,multiply(X,Y))))]]) ).
cnf(refute_0_291,plain,
( multiply(identity,inverse(multiply(X,Y))) != double_divide(identity,multiply(X,Y))
| multiply(inverse(identity),inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(identity,inverse(multiply(X,Y)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(identity),inverse(multiply(X,Y))) = double_divide(identity,multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(X,Y))),double_divide(identity,multiply(X,Y))) )],[refute_0_285,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiply(inverse(identity),inverse(multiply(X,Y))) != multiply(double_divide(Y,X),identity)
| multiply(inverse(identity),inverse(multiply(X,Y))) != double_divide(identity,multiply(X,Y))
| double_divide(identity,multiply(X,Y)) = multiply(double_divide(Y,X),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(double_divide(Y,X),identity)) ),[0],$fot(double_divide(identity,multiply(X,Y)))]]) ).
cnf(refute_0_294,plain,
( multiply(inverse(identity),inverse(multiply(X,Y))) != multiply(double_divide(Y,X),identity)
| double_divide(identity,multiply(X,Y)) = multiply(double_divide(Y,X),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),double_divide(identity,multiply(X,Y))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
double_divide(identity,multiply(X,Y)) = multiply(double_divide(Y,X),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(double_divide(Y,X),identity)) )],[refute_0_280,refute_0_294]) ).
cnf(refute_0_296,plain,
double_divide(identity,multiply(X_14,identity)) = multiply(double_divide(identity,X_14),identity),
inference(subst,[],[refute_0_295:[bind(X,$fot(X_14)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_297,plain,
inverse(inverse(inverse(inverse(X_15)))) = double_divide(identity,inverse(X_15)),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(inverse(X_15)))]]) ).
cnf(refute_0_298,plain,
multiply(identity,inverse(inverse(X_15))) = inverse(inverse(inverse(inverse(X_15)))),
inference(subst,[],[refute_0_79:[bind(X_3,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_299,plain,
( multiply(identity,inverse(inverse(X_15))) != inverse(inverse(inverse(inverse(X_15))))
| inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Y0,$fot(inverse(inverse(inverse(inverse(X_15)))))),bind(Z0,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_300,plain,
( inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),inverse(inverse(inverse(inverse(X_15))))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_15)))),double_divide(identity,inverse(X_15))) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(inverse(identity),inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(X_15))))]]) ).
cnf(refute_0_303,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(inverse(identity),inverse(inverse(X_15)))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_304,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_304]) ).
cnf(refute_0_306,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) != multiply(identity,inverse(inverse(X_15)))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(inverse(identity),inverse(inverse(X_15))))),bind(Y0,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Z0,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_307,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(identity,inverse(inverse(X_15)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_301,refute_0_307]) ).
cnf(refute_0_309,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(double_divide(identity,inverse(X_15)))]]) ).
cnf(refute_0_310,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(identity,inverse(X_15)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) )],[refute_0_276,refute_0_310]) ).
cnf(refute_0_312,plain,
double_divide(identity,inverse(X_14)) = multiply(X_14,identity),
inference(subst,[],[refute_0_311:[bind(X_15,$fot(X_14))]]) ).
cnf(refute_0_313,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(X_14)))]]) ).
cnf(refute_0_314,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(inverse(identity),inverse(X_14))
| inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_315,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_315]) ).
cnf(refute_0_317,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),inverse(X_14)))),bind(Y0,$fot(double_divide(identity,inverse(X_14)))),bind(Z0,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_318,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),multiply(X_14,identity)) )],[refute_0_312,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_321,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),inverse(X_14)) != multiply(X_14,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) ),[1,1],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_322,plain,
( double_divide(inverse(identity),inverse(X_14)) != multiply(X_14,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),multiply(X_14,identity)) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_325,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_326,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_326]) ).
cnf(refute_0_328,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y0,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))),bind(Z0,$fot(double_divide(identity,multiply(X_14,identity))))]]) ).
cnf(refute_0_329,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,multiply(X_14,identity))) )],[refute_0_323,refute_0_329]) ).
cnf(refute_0_331,plain,
( double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y0,$fot(double_divide(identity,multiply(X_14,identity)))),bind(Z0,$fot(multiply(double_divide(identity,X_14),identity)))]]) ).
cnf(refute_0_332,plain,
( double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,multiply(X_14,identity))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_14,identity)),multiply(double_divide(identity,X_14),identity)) )],[refute_0_296,refute_0_332]) ).
cnf(refute_0_334,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != multiply(double_divide(identity,X_14),identity)
| inverse(inverse(multiply(inverse(X_14),identity))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_14),identity))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[1],$fot(multiply(double_divide(identity,X_14),identity))]]) ).
cnf(refute_0_335,plain,
( inverse(inverse(multiply(inverse(X_14),identity))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),multiply(double_divide(identity,X_14),identity)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_14),identity))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_267,refute_0_335]) ).
cnf(refute_0_337,plain,
inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_234,refute_0_336]) ).
cnf(refute_0_338,plain,
inverse(inverse(multiply(inverse(X_21),identity))) = multiply(double_divide(identity,X_21),identity),
inference(subst,[],[refute_0_337:[bind(X_14,$fot(X_21))]]) ).
cnf(refute_0_339,plain,
double_divide(X_21,identity) = inverse(X_21),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_340,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_341,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_342,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_342]) ).
cnf(refute_0_344,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(inverse(identity)))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_345,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_345]) ).
cnf(refute_0_347,plain,
double_divide(X_21,inverse(inverse(identity))) = double_divide(X_21,inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_21,inverse(inverse(identity))))]]) ).
cnf(refute_0_348,plain,
( double_divide(X_21,inverse(inverse(identity))) != double_divide(X_21,inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| double_divide(X_21,inverse(inverse(identity))) = double_divide(X_21,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_21,inverse(inverse(identity))),double_divide(X_21,inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_349,plain,
( inverse(inverse(identity)) != identity
| double_divide(X_21,inverse(inverse(identity))) = double_divide(X_21,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_21,inverse(inverse(identity))),double_divide(X_21,inverse(inverse(identity)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(X_21,inverse(inverse(identity))) = double_divide(X_21,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( double_divide(X_21,identity) != inverse(X_21)
| double_divide(X_21,inverse(inverse(identity))) != double_divide(X_21,identity)
| double_divide(X_21,inverse(inverse(identity))) = inverse(X_21) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(X_21,inverse(inverse(identity))))),bind(Y0,$fot(double_divide(X_21,identity))),bind(Z0,$fot(inverse(X_21)))]]) ).
cnf(refute_0_352,plain,
( double_divide(X_21,identity) != inverse(X_21)
| double_divide(X_21,inverse(inverse(identity))) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(double_divide(X_21,inverse(inverse(identity))),double_divide(X_21,identity)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
double_divide(X_21,inverse(inverse(identity))) = inverse(X_21),
inference(resolve,[$cnf( $equal(double_divide(X_21,identity),inverse(X_21)) )],[refute_0_339,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(double_divide(X_21,inverse(inverse(identity))),identity) = multiply(double_divide(X_21,inverse(inverse(identity))),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_21,inverse(inverse(identity))),identity))]]) ).
cnf(refute_0_355,plain,
( multiply(double_divide(X_21,inverse(inverse(identity))),identity) != multiply(double_divide(X_21,inverse(inverse(identity))),identity)
| double_divide(X_21,inverse(inverse(identity))) != inverse(X_21)
| multiply(double_divide(X_21,inverse(inverse(identity))),identity) = multiply(inverse(X_21),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_21,inverse(inverse(identity))),identity),multiply(double_divide(X_21,inverse(inverse(identity))),identity)) ),[1,0],$fot(inverse(X_21))]]) ).
cnf(refute_0_356,plain,
( double_divide(X_21,inverse(inverse(identity))) != inverse(X_21)
| multiply(double_divide(X_21,inverse(inverse(identity))),identity) = multiply(inverse(X_21),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_21,inverse(inverse(identity))),identity),multiply(double_divide(X_21,inverse(inverse(identity))),identity)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(double_divide(X_21,inverse(inverse(identity))),identity) = multiply(inverse(X_21),identity),
inference(resolve,[$cnf( $equal(double_divide(X_21,inverse(inverse(identity))),inverse(X_21)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) = inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))]]) ).
cnf(refute_0_359,plain,
( multiply(double_divide(X_21,inverse(inverse(identity))),identity) != multiply(inverse(X_21),identity)
| inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) != inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))
| inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_21),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)),inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) ),[1,0],$fot(multiply(inverse(X_21),identity))]]) ).
cnf(refute_0_360,plain,
( multiply(double_divide(X_21,inverse(inverse(identity))),identity) != multiply(inverse(X_21),identity)
| inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_21),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)),inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_21),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_21,inverse(inverse(identity))),identity),multiply(inverse(X_21),identity)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))))]]) ).
cnf(refute_0_363,plain,
( inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) != inverse(multiply(inverse(X_21),identity))
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) != inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_21),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))) ),[1,0],$fot(inverse(multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_364,plain,
( inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)) != inverse(multiply(inverse(X_21),identity))
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_21),identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_21),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)),inverse(multiply(inverse(X_21),identity))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) != inverse(inverse(multiply(inverse(X_21),identity)))
| inverse(inverse(multiply(inverse(X_21),identity))) != multiply(double_divide(identity,X_21),identity)
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_21),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))))),bind(Y0,$fot(inverse(inverse(multiply(inverse(X_21),identity))))),bind(Z0,$fot(multiply(double_divide(identity,X_21),identity)))]]) ).
cnf(refute_0_367,plain,
( inverse(inverse(multiply(inverse(X_21),identity))) != multiply(double_divide(identity,X_21),identity)
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_21),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),inverse(inverse(multiply(inverse(X_21),identity)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_21),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_21),identity))),multiply(double_divide(identity,X_21),identity)) )],[refute_0_338,refute_0_367]) ).
cnf(refute_0_369,plain,
double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) = inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),
inference(subst,[],[refute_0_191:[bind(X,$fot(double_divide(X_21,inverse(inverse(identity))))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_370,plain,
( double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) != inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))
| inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) != multiply(double_divide(identity,X_21),identity)
| double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) = multiply(double_divide(identity,X_21),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))))),bind(Z0,$fot(multiply(double_divide(identity,X_21),identity)))]]) ).
cnf(refute_0_371,plain,
( inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))) != multiply(double_divide(identity,X_21),identity)
| double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) = multiply(double_divide(identity,X_21),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) = multiply(double_divide(identity,X_21),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_21,inverse(inverse(identity))),identity))),multiply(double_divide(identity,X_21),identity)) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)))]]) ).
cnf(refute_0_374,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity))
| double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) != multiply(double_divide(identity,X_21),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity))) ),[1,0],$fot(multiply(double_divide(identity,X_21),identity))]]) ).
cnf(refute_0_375,plain,
( double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))) != multiply(double_divide(identity,X_21),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),multiply(double_divide(identity,X_21),identity)) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
( double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_21),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)))),bind(Y0,$fot(double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)))),bind(Z0,$fot(double_divide(multiply(double_divide(identity,X_21),identity),identity)))]]) ).
cnf(refute_0_378,plain,
( double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_21),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_21),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_21),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_21),identity),identity)) )],[refute_0_209,refute_0_378]) ).
cnf(refute_0_380,plain,
( double_divide(multiply(double_divide(identity,X_21),identity),identity) != inverse(multiply(double_divide(identity,X_21),identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != double_divide(multiply(double_divide(identity,X_21),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_21),identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)))),bind(Y0,$fot(double_divide(multiply(double_divide(identity,X_21),identity),identity))),bind(Z0,$fot(inverse(multiply(double_divide(identity,X_21),identity))))]]) ).
cnf(refute_0_381,plain,
( double_divide(multiply(double_divide(identity,X_21),identity),identity) != inverse(multiply(double_divide(identity,X_21),identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_21),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),double_divide(multiply(double_divide(identity,X_21),identity),identity)) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_21),identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_21),identity),identity),inverse(multiply(double_divide(identity,X_21),identity))) )],[refute_0_205,refute_0_381]) ).
cnf(refute_0_383,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != X_21
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != inverse(multiply(double_divide(identity,X_21),identity))
| inverse(multiply(double_divide(identity,X_21),identity)) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),X_21) ),[0],$fot(inverse(multiply(double_divide(identity,X_21),identity)))]]) ).
cnf(refute_0_384,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)) != X_21
| inverse(multiply(double_divide(identity,X_21),identity)) = X_21 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),inverse(multiply(double_divide(identity,X_21),identity))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
inverse(multiply(double_divide(identity,X_21),identity)) = X_21,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_21,inverse(inverse(identity))))),inverse(identity)),X_21) )],[refute_0_37,refute_0_384]) ).
cnf(refute_0_386,plain,
( multiply(double_divide(inverse(inverse(multiply(double_divide(identity,X_21),identity))),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) != X_48
| inverse(multiply(double_divide(identity,X_21),identity)) != X_21
| multiply(double_divide(inverse(X_21),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) = X_48 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(identity,X_21),identity))),inverse(X_48)),multiply(double_divide(identity,X_21),identity)),X_48) ),[0,0,0,0],$fot(X_21)]]) ).
cnf(refute_0_387,plain,
( multiply(double_divide(inverse(inverse(multiply(double_divide(identity,X_21),identity))),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) != X_48
| multiply(double_divide(inverse(X_21),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) = X_48 ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_21),identity)),X_21) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(double_divide(inverse(X_21),inverse(X_48)),multiply(double_divide(identity,X_21),identity)) = X_48,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(identity,X_21),identity))),inverse(X_48)),multiply(double_divide(identity,X_21),identity)),X_48) )],[refute_0_204,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = X_56,
inference(subst,[],[refute_0_388:[bind(X_21,$fot(multiply(inverse(X_56),identity))),bind(X_48,$fot(X_56))]]) ).
cnf(refute_0_390,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_102:[bind(X_11,$fot(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_391,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(X_19)]]) ).
cnf(refute_0_392,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) )],[refute_0_214,refute_0_391]) ).
cnf(refute_0_393,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)),identity) )],[refute_0_390,refute_0_392]) ).
cnf(refute_0_394,plain,
double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,double_divide(identity,identity)))]]) ).
cnf(refute_0_395,plain,
( double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_396,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,double_divide(identity,identity))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_399,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))
| double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,inverse(identity))
| multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_400,plain,
( double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,inverse(identity))
| multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,inverse(identity))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(X_19,double_divide(identity,identity)))),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_403,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))))),bind(Y0,$fot(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)))),bind(Z0,$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_404,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19))]]) ).
cnf(refute_0_407,plain,
( double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)) ),[1,0],$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_408,plain,
( inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)))]]) ).
cnf(refute_0_411,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))) ),[1,0],$fot(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19))]]) ).
cnf(refute_0_412,plain,
( double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))]]) ).
cnf(refute_0_415,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),identity) )],[refute_0_393,refute_0_415]) ).
cnf(refute_0_417,plain,
inverse(double_divide(multiply(inverse(X_19),identity),X_19)) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_19)),bind(Y,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_418,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = inverse(double_divide(multiply(inverse(X_19),identity),X_19)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(multiply(inverse(X_19),identity),X_19)))]]) ).
cnf(refute_0_419,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != inverse(double_divide(multiply(inverse(X_19),identity),X_19))
| inverse(double_divide(multiply(inverse(X_19),identity),X_19)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity))),bind(Y0,$fot(inverse(double_divide(multiply(inverse(X_19),identity),X_19)))),bind(Z0,$fot(multiply(X_19,multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_420,plain,
( inverse(double_divide(multiply(inverse(X_19),identity),X_19)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),inverse(double_divide(multiply(inverse(X_19),identity),X_19))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_19),identity),X_19)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)))]]) ).
cnf(refute_0_423,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_424,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_19),inverse(identity)))]]) ).
cnf(refute_0_427,plain,
( multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_428,plain,
( inverse(identity) != identity
| multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),inverse(identity))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_428]) ).
cnf(refute_0_430,plain,
double_divide(X_19,identity) = inverse(X_19),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_431,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_432,plain,
( double_divide(X_19,inverse(identity)) != double_divide(X_19,inverse(identity))
| inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_433,plain,
( inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_433]) ).
cnf(refute_0_435,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) != double_divide(X_19,identity)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(X_19,inverse(identity)))),bind(Y0,$fot(double_divide(X_19,identity))),bind(Z0,$fot(inverse(X_19)))]]) ).
cnf(refute_0_436,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,identity)) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
double_divide(X_19,inverse(identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_430,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_439,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(X_19,inverse(identity)) != inverse(X_19)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) ),[1,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_440,plain,
( double_divide(X_19,inverse(identity)) != inverse(X_19)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),inverse(X_19)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),inverse(identity))
| multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),identity)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))),bind(Y0,$fot(multiply(inverse(X_19),inverse(identity)))),bind(Z0,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_443,plain,
( multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),identity)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(inverse(X_19),inverse(identity))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),identity)) )],[refute_0_429,refute_0_443]) ).
cnf(refute_0_445,plain,
double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19))]]) ).
cnf(refute_0_446,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),identity)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) ),[1,0],$fot(multiply(inverse(X_19),identity))]]) ).
cnf(refute_0_447,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),identity)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(inverse(X_19),identity)) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))]]) ).
cnf(refute_0_450,plain,
( double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(inverse(X_19),identity),X_19)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) ),[1,0],$fot(double_divide(multiply(inverse(X_19),identity),X_19))]]) ).
cnf(refute_0_451,plain,
( double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(inverse(X_19),identity),X_19)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(inverse(X_19),identity),X_19)) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)))]]) ).
cnf(refute_0_454,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)) )],[refute_0_425,refute_0_454]) ).
cnf(refute_0_456,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity))),bind(Z0,$fot(multiply(X_19,multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_457,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_421,refute_0_457]) ).
cnf(refute_0_459,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != identity
| multiply(X_19,multiply(inverse(X_19),identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),identity) ),[0],$fot(multiply(X_19,multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_460,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != identity
| multiply(X_19,multiply(inverse(X_19),identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),identity) )],[refute_0_416,refute_0_460]) ).
cnf(refute_0_462,plain,
inverse(inverse(inverse(inverse(inverse(X_26))))) = double_divide(identity,inverse(inverse(X_26))),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(inverse(inverse(X_26))))]]) ).
cnf(refute_0_463,plain,
inverse(inverse(inverse(X_26))) = double_divide(identity,X_26),
inference(subst,[],[refute_0_128:[bind(X_13,$fot(X_26))]]) ).
cnf(refute_0_464,plain,
( inverse(inverse(inverse(X_26))) != double_divide(identity,X_26)
| inverse(inverse(inverse(inverse(inverse(X_26))))) != double_divide(identity,inverse(inverse(X_26)))
| inverse(inverse(double_divide(identity,X_26))) = double_divide(identity,inverse(inverse(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_26))))),double_divide(identity,inverse(inverse(X_26)))) ),[0,0,0],$fot(double_divide(identity,X_26))]]) ).
cnf(refute_0_465,plain,
( inverse(inverse(inverse(inverse(inverse(X_26))))) != double_divide(identity,inverse(inverse(X_26)))
| inverse(inverse(double_divide(identity,X_26))) = double_divide(identity,inverse(inverse(X_26))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_26))),double_divide(identity,X_26)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
inverse(inverse(double_divide(identity,X_26))) = double_divide(identity,inverse(inverse(X_26))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_26))))),double_divide(identity,inverse(inverse(X_26)))) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
inverse(double_divide(identity,X_26)) = multiply(X_26,identity),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_26)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_468,plain,
inverse(inverse(double_divide(identity,X_26))) = inverse(inverse(double_divide(identity,X_26))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,X_26))))]]) ).
cnf(refute_0_469,plain,
( inverse(double_divide(identity,X_26)) != multiply(X_26,identity)
| inverse(inverse(double_divide(identity,X_26))) != inverse(inverse(double_divide(identity,X_26)))
| inverse(inverse(double_divide(identity,X_26))) = inverse(multiply(X_26,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_26))),inverse(inverse(double_divide(identity,X_26)))) ),[1,0],$fot(multiply(X_26,identity))]]) ).
cnf(refute_0_470,plain,
( inverse(double_divide(identity,X_26)) != multiply(X_26,identity)
| inverse(inverse(double_divide(identity,X_26))) = inverse(multiply(X_26,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_26))),inverse(inverse(double_divide(identity,X_26)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
inverse(inverse(double_divide(identity,X_26))) = inverse(multiply(X_26,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_26)),multiply(X_26,identity)) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( inverse(inverse(double_divide(identity,X_26))) != double_divide(identity,inverse(inverse(X_26)))
| inverse(inverse(double_divide(identity,X_26))) != inverse(multiply(X_26,identity))
| inverse(multiply(X_26,identity)) = double_divide(identity,inverse(inverse(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_26))),double_divide(identity,inverse(inverse(X_26)))) ),[0],$fot(inverse(multiply(X_26,identity)))]]) ).
cnf(refute_0_473,plain,
( inverse(inverse(double_divide(identity,X_26))) != double_divide(identity,inverse(inverse(X_26)))
| inverse(multiply(X_26,identity)) = double_divide(identity,inverse(inverse(X_26))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_26))),inverse(multiply(X_26,identity))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
double_divide(identity,inverse(inverse(X_26))) = multiply(inverse(X_26),identity),
inference(subst,[],[refute_0_311:[bind(X_15,$fot(inverse(X_26)))]]) ).
cnf(refute_0_475,plain,
( double_divide(identity,inverse(inverse(X_26))) != multiply(inverse(X_26),identity)
| inverse(multiply(X_26,identity)) != double_divide(identity,inverse(inverse(X_26)))
| inverse(multiply(X_26,identity)) = multiply(inverse(X_26),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_26,identity)),double_divide(identity,inverse(inverse(X_26)))) ),[1],$fot(multiply(inverse(X_26),identity))]]) ).
cnf(refute_0_476,plain,
( inverse(multiply(X_26,identity)) != double_divide(identity,inverse(inverse(X_26)))
| inverse(multiply(X_26,identity)) = multiply(inverse(X_26),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_26))),multiply(inverse(X_26),identity)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( inverse(inverse(double_divide(identity,X_26))) != double_divide(identity,inverse(inverse(X_26)))
| inverse(multiply(X_26,identity)) = multiply(inverse(X_26),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_26,identity)),double_divide(identity,inverse(inverse(X_26)))) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
inverse(multiply(X_26,identity)) = multiply(inverse(X_26),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_26))),double_divide(identity,inverse(inverse(X_26)))) )],[refute_0_466,refute_0_477]) ).
cnf(refute_0_479,plain,
( inverse(multiply(X_26,identity)) != multiply(inverse(X_26),identity)
| multiply(inverse(X_26),identity) = inverse(multiply(X_26,identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_26,identity)))),bind(Y0,$fot(multiply(inverse(X_26),identity)))]]) ).
cnf(refute_0_480,plain,
multiply(inverse(X_26),identity) = inverse(multiply(X_26,identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_26,identity)),multiply(inverse(X_26),identity)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(inverse(X_19),identity) = inverse(multiply(X_19,identity)),
inference(subst,[],[refute_0_480:[bind(X_26,$fot(X_19))]]) ).
cnf(refute_0_482,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,multiply(inverse(X_19),identity)),
introduced(tautology,[refl,[$fot(multiply(X_19,multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_483,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != multiply(X_19,multiply(inverse(X_19),identity))
| multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,multiply(inverse(X_19),identity))) ),[1,1],$fot(inverse(multiply(X_19,identity)))]]) ).
cnf(refute_0_484,plain,
( multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),identity),inverse(multiply(X_19,identity))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != multiply(X_19,inverse(multiply(X_19,identity)))
| multiply(X_19,multiply(inverse(X_19),identity)) != identity
| multiply(X_19,inverse(multiply(X_19,identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),identity) ),[0],$fot(multiply(X_19,inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_487,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != identity
| multiply(X_19,inverse(multiply(X_19,identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,inverse(multiply(X_19,identity)))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(X_19,inverse(multiply(X_19,identity))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),identity) )],[refute_0_461,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(multiply(X_14,identity),inverse(multiply(multiply(X_14,identity),identity))) = identity,
inference(subst,[],[refute_0_488:[bind(X_19,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_490,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(identity,inverse(X_14)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_491,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_492,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(X_14))))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Y0,$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Z0,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_493,plain,
( inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),inverse(double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_496,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_497,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_497]) ).
cnf(refute_0_499,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) ),[1,1],$fot(double_divide(identity,inverse(X_14)))]]) ).
cnf(refute_0_500,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_320,refute_0_499]) ).
cnf(refute_0_501,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_316,refute_0_500]) ).
cnf(refute_0_502,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y0,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))),bind(Z0,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_503,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_327,refute_0_502]) ).
cnf(refute_0_504,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_501,refute_0_503]) ).
cnf(refute_0_505,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_506,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_507,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)))]]) ).
cnf(refute_0_510,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_498,refute_0_510]) ).
cnf(refute_0_512,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Z0,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_513,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_494,refute_0_513]) ).
cnf(refute_0_515,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != multiply(double_divide(identity,inverse(X_14)),identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_516,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_222,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_519,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) ),[1,0],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_520,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),multiply(X_14,identity)) )],[refute_0_312,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) != multiply(multiply(X_14,identity),identity)
| multiply(multiply(X_14,identity),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) ),[0],$fot(multiply(multiply(X_14,identity),identity))]]) ).
cnf(refute_0_523,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(multiply(X_14,identity),identity) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(multiply(X_14,identity),identity)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(multiply(X_14,identity),identity) = X_14,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) )],[refute_0_517,refute_0_523]) ).
cnf(refute_0_525,plain,
( multiply(multiply(X_14,identity),identity) != X_14
| multiply(multiply(X_14,identity),inverse(multiply(multiply(X_14,identity),identity))) != identity
| multiply(multiply(X_14,identity),inverse(X_14)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,identity),inverse(multiply(multiply(X_14,identity),identity))),identity) ),[0,1,0],$fot(X_14)]]) ).
cnf(refute_0_526,plain,
( multiply(multiply(X_14,identity),inverse(multiply(multiply(X_14,identity),identity))) != identity
| multiply(multiply(X_14,identity),inverse(X_14)) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),identity),X_14) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(multiply(X_14,identity),inverse(X_14)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),inverse(multiply(multiply(X_14,identity),identity))),identity) )],[refute_0_489,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(multiply(double_divide(Y,X),identity),inverse(double_divide(Y,X))) = identity,
inference(subst,[],[refute_0_527:[bind(X_14,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_529,plain,
( multiply(multiply(double_divide(Y,X),identity),inverse(double_divide(Y,X))) != identity
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),inverse(double_divide(Y,X))),identity) ),[0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_530,plain,
( multiply(multiply(double_divide(Y,X),identity),inverse(double_divide(Y,X))) != identity
| multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = identity ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_159,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),inverse(double_divide(Y,X))),identity) )],[refute_0_528,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),multiply(X_42,inverse(multiply(X_42,identity)))) = identity,
inference(subst,[],[refute_0_531:[bind(X,$fot(X_42)),bind(Y,$fot(inverse(multiply(X_42,identity))))]]) ).
cnf(refute_0_533,plain,
multiply(X_42,inverse(multiply(X_42,identity))) = identity,
inference(subst,[],[refute_0_488:[bind(X_19,$fot(X_42))]]) ).
cnf(refute_0_534,plain,
( multiply(X_42,inverse(multiply(X_42,identity))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),multiply(X_42,inverse(multiply(X_42,identity)))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),multiply(X_42,inverse(multiply(X_42,identity)))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_535,plain,
( multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),multiply(X_42,inverse(multiply(X_42,identity)))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_42,inverse(multiply(X_42,identity))),identity) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),multiply(X_42,inverse(multiply(X_42,identity)))),identity) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) = double_divide(inverse(multiply(X_42,identity)),X_42),
inference(subst,[],[refute_0_524:[bind(X_14,$fot(double_divide(inverse(multiply(X_42,identity)),X_42)))]]) ).
cnf(refute_0_538,plain,
( multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) != double_divide(inverse(multiply(X_42,identity)),X_42)
| multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) != identity
| double_divide(inverse(multiply(X_42,identity)),X_42) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity),identity) ),[0],$fot(double_divide(inverse(multiply(X_42,identity)),X_42))]]) ).
cnf(refute_0_539,plain,
( multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity) != identity
| double_divide(inverse(multiply(X_42,identity)),X_42) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity),double_divide(inverse(multiply(X_42,identity)),X_42)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
double_divide(inverse(multiply(X_42,identity)),X_42) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_42,identity)),X_42),identity),identity),identity) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)) = identity,
inference(subst,[],[refute_0_540:[bind(X_42,$fot(inverse(X_56)))]]) ).
cnf(refute_0_542,plain,
( multiply(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != X_56
| double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)) != identity
| multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),X_56) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_543,plain,
( multiply(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != X_56
| multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),identity) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = X_56,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(multiply(inverse(X_56),identity)),inverse(X_56)),multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),X_56) )],[refute_0_389,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(inverse(X_56),identity) = inverse(multiply(X_56,identity)),
inference(subst,[],[refute_0_480:[bind(X_26,$fot(X_56))]]) ).
cnf(refute_0_546,plain,
inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = multiply(inverse(X_56),identity),
inference(subst,[],[refute_0_385:[bind(X_21,$fot(multiply(inverse(X_56),identity)))]]) ).
cnf(refute_0_547,plain,
( multiply(inverse(X_56),identity) != inverse(multiply(X_56,identity))
| inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != multiply(inverse(X_56),identity)
| inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(multiply(X_56,identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))),bind(Y0,$fot(multiply(inverse(X_56),identity))),bind(Z0,$fot(inverse(multiply(X_56,identity))))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(X_56),identity) != inverse(multiply(X_56,identity))
| inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(multiply(X_56,identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),multiply(inverse(X_56),identity)) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(multiply(X_56,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),identity),inverse(multiply(X_56,identity))) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) = inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))))]]) ).
cnf(refute_0_551,plain,
( inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != inverse(multiply(X_56,identity))
| inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) != inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))
| inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) = inverse(inverse(multiply(X_56,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))),inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))) ),[1,0],$fot(inverse(multiply(X_56,identity)))]]) ).
cnf(refute_0_552,plain,
( inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != inverse(multiply(X_56,identity))
| inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) = inverse(inverse(multiply(X_56,identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))),inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) = inverse(inverse(multiply(X_56,identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),inverse(multiply(X_56,identity))) )],[refute_0_549,refute_0_552]) ).
cnf(refute_0_554,plain,
multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))),
inference(subst,[],[refute_0_79:[bind(X_3,$fot(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))]]) ).
cnf(refute_0_555,plain,
( multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))
| inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) != inverse(inverse(multiply(X_56,identity)))
| multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(inverse(multiply(X_56,identity))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))))),bind(Z0,$fot(inverse(inverse(multiply(X_56,identity)))))]]) ).
cnf(refute_0_556,plain,
( inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))) != inverse(inverse(multiply(X_56,identity)))
| multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(inverse(multiply(X_56,identity))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) = inverse(inverse(multiply(X_56,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity))),inverse(inverse(multiply(X_56,identity)))) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != X_56
| multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != inverse(inverse(multiply(X_56,identity)))
| inverse(inverse(multiply(X_56,identity))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),X_56) ),[0],$fot(inverse(inverse(multiply(X_56,identity))))]]) ).
cnf(refute_0_559,plain,
( multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)) != X_56
| inverse(inverse(multiply(X_56,identity))) = X_56 ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),inverse(inverse(multiply(X_56,identity)))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
inverse(inverse(multiply(X_56,identity))) = X_56,
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,multiply(inverse(X_56),identity)),identity)),X_56) )],[refute_0_544,refute_0_559]) ).
cnf(refute_0_561,plain,
inverse(inverse(multiply(X_59,identity))) = X_59,
inference(subst,[],[refute_0_560:[bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_562,plain,
( inverse(inverse(multiply(X_59,identity))) != X_59
| inverse(inverse(inverse(inverse(multiply(X_59,identity))))) != double_divide(identity,inverse(multiply(X_59,identity)))
| inverse(inverse(X_59)) = double_divide(identity,inverse(multiply(X_59,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(X_59,identity))))),double_divide(identity,inverse(multiply(X_59,identity)))) ),[0,0,0],$fot(X_59)]]) ).
cnf(refute_0_563,plain,
( inverse(inverse(inverse(inverse(multiply(X_59,identity))))) != double_divide(identity,inverse(multiply(X_59,identity)))
| inverse(inverse(X_59)) = double_divide(identity,inverse(multiply(X_59,identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),X_59) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
inverse(inverse(X_59)) = double_divide(identity,inverse(multiply(X_59,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(X_59,identity))))),double_divide(identity,inverse(multiply(X_59,identity)))) )],[refute_0_129,refute_0_563]) ).
cnf(refute_0_565,plain,
double_divide(identity,inverse(inverse(multiply(X_59,identity)))) = multiply(inverse(multiply(X_59,identity)),identity),
inference(subst,[],[refute_0_311:[bind(X_15,$fot(inverse(multiply(X_59,identity))))]]) ).
cnf(refute_0_566,plain,
( double_divide(identity,inverse(inverse(multiply(X_59,identity)))) != multiply(inverse(multiply(X_59,identity)),identity)
| inverse(inverse(multiply(X_59,identity))) != X_59
| double_divide(identity,X_59) = multiply(inverse(multiply(X_59,identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(multiply(X_59,identity)))),multiply(inverse(multiply(X_59,identity)),identity)) ),[0,1],$fot(X_59)]]) ).
cnf(refute_0_567,plain,
( double_divide(identity,inverse(inverse(multiply(X_59,identity)))) != multiply(inverse(multiply(X_59,identity)),identity)
| double_divide(identity,X_59) = multiply(inverse(multiply(X_59,identity)),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),X_59) )],[refute_0_561,refute_0_566]) ).
cnf(refute_0_568,plain,
double_divide(identity,X_59) = multiply(inverse(multiply(X_59,identity)),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(multiply(X_59,identity)))),multiply(inverse(multiply(X_59,identity)),identity)) )],[refute_0_565,refute_0_567]) ).
cnf(refute_0_569,plain,
multiply(multiply(X_59,identity),identity) = X_59,
inference(subst,[],[refute_0_524:[bind(X_14,$fot(X_59))]]) ).
cnf(refute_0_570,plain,
inverse(multiply(multiply(X_59,identity),identity)) = inverse(multiply(multiply(X_59,identity),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_59,identity),identity)))]]) ).
cnf(refute_0_571,plain,
( multiply(multiply(X_59,identity),identity) != X_59
| inverse(multiply(multiply(X_59,identity),identity)) != inverse(multiply(multiply(X_59,identity),identity))
| inverse(multiply(multiply(X_59,identity),identity)) = inverse(X_59) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_59,identity),identity)),inverse(multiply(multiply(X_59,identity),identity))) ),[1,0],$fot(X_59)]]) ).
cnf(refute_0_572,plain,
( multiply(multiply(X_59,identity),identity) != X_59
| inverse(multiply(multiply(X_59,identity),identity)) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_59,identity),identity)),inverse(multiply(multiply(X_59,identity),identity))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
inverse(multiply(multiply(X_59,identity),identity)) = inverse(X_59),
inference(resolve,[$cnf( $equal(multiply(multiply(X_59,identity),identity),X_59) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(inverse(multiply(X_59,identity)),identity) = inverse(multiply(multiply(X_59,identity),identity)),
inference(subst,[],[refute_0_480:[bind(X_26,$fot(multiply(X_59,identity)))]]) ).
cnf(refute_0_575,plain,
( multiply(inverse(multiply(X_59,identity)),identity) != inverse(multiply(multiply(X_59,identity),identity))
| inverse(multiply(multiply(X_59,identity),identity)) != inverse(X_59)
| multiply(inverse(multiply(X_59,identity)),identity) = inverse(X_59) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(inverse(multiply(X_59,identity)),identity))),bind(Y0,$fot(inverse(multiply(multiply(X_59,identity),identity)))),bind(Z0,$fot(inverse(X_59)))]]) ).
cnf(refute_0_576,plain,
( inverse(multiply(multiply(X_59,identity),identity)) != inverse(X_59)
| multiply(inverse(multiply(X_59,identity)),identity) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_59,identity)),identity),inverse(multiply(multiply(X_59,identity),identity))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(inverse(multiply(X_59,identity)),identity) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_59,identity),identity)),inverse(X_59)) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
( multiply(inverse(multiply(X_59,identity)),identity) != inverse(X_59)
| double_divide(identity,X_59) != multiply(inverse(multiply(X_59,identity)),identity)
| double_divide(identity,X_59) = inverse(X_59) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,X_59),multiply(inverse(multiply(X_59,identity)),identity)) ),[1],$fot(inverse(X_59))]]) ).
cnf(refute_0_579,plain,
( double_divide(identity,X_59) != multiply(inverse(multiply(X_59,identity)),identity)
| double_divide(identity,X_59) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_59,identity)),identity),inverse(X_59)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
double_divide(identity,X_59) = inverse(X_59),
inference(resolve,[$cnf( $equal(double_divide(identity,X_59),multiply(inverse(multiply(X_59,identity)),identity)) )],[refute_0_568,refute_0_579]) ).
cnf(refute_0_581,plain,
double_divide(identity,inverse(multiply(X_59,identity))) = inverse(inverse(multiply(X_59,identity))),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(inverse(multiply(X_59,identity))))]]) ).
cnf(refute_0_582,plain,
( double_divide(identity,inverse(multiply(X_59,identity))) != inverse(inverse(multiply(X_59,identity)))
| inverse(inverse(multiply(X_59,identity))) != X_59
| double_divide(identity,inverse(multiply(X_59,identity))) = X_59 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,inverse(multiply(X_59,identity))))),bind(Y0,$fot(inverse(inverse(multiply(X_59,identity))))),bind(Z0,$fot(X_59))]]) ).
cnf(refute_0_583,plain,
( inverse(inverse(multiply(X_59,identity))) != X_59
| double_divide(identity,inverse(multiply(X_59,identity))) = X_59 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(X_59,identity))),inverse(inverse(multiply(X_59,identity)))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
double_divide(identity,inverse(multiply(X_59,identity))) = X_59,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),X_59) )],[refute_0_561,refute_0_583]) ).
cnf(refute_0_585,plain,
( double_divide(identity,inverse(multiply(X_59,identity))) != X_59
| inverse(inverse(X_59)) != double_divide(identity,inverse(multiply(X_59,identity)))
| inverse(inverse(X_59)) = X_59 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_59)),double_divide(identity,inverse(multiply(X_59,identity)))) ),[1],$fot(X_59)]]) ).
cnf(refute_0_586,plain,
( inverse(inverse(X_59)) != double_divide(identity,inverse(multiply(X_59,identity)))
| inverse(inverse(X_59)) = X_59 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(X_59,identity))),X_59) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
inverse(inverse(X_59)) = X_59,
inference(resolve,[$cnf( $equal(inverse(inverse(X_59)),double_divide(identity,inverse(multiply(X_59,identity)))) )],[refute_0_564,refute_0_586]) ).
cnf(refute_0_588,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_587:[bind(X_59,$fot(X_3))]]) ).
cnf(refute_0_589,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| inverse(inverse(X_3)) != X_3
| multiply(identity,X_3) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).
cnf(refute_0_590,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_79,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(identity,a2) = a2,
inference(subst,[],[refute_0_591:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_593,plain,
( multiply(identity,a2) != a2
| a2 != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_594,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_594,refute_0_72]) ).
cnf(refute_0_596,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_597,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_596,refute_0_595]) ).
cnf(refute_0_598,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_599,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_598,refute_0_597]) ).
cnf(refute_0_600,plain,
multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = X_12,
inference(subst,[],[refute_0_203:[bind(X_2,$fot(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)))),bind(X_3,$fot(multiply(X_49,X_50)))]]) ).
cnf(refute_0_601,plain,
multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)) = X_48,
inference(subst,[],[refute_0_203:[bind(X_12,$fot(X_48)),bind(X_2,$fot(X_49)),bind(X_3,$fot(X_50))]]) ).
cnf(refute_0_602,plain,
( multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)) != X_48
| multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != X_12
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),X_12) ),[0,0,0,0,0],$fot(X_48)]]) ).
cnf(refute_0_603,plain,
( multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != X_12
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)),X_48) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),X_12) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))))]]) ).
cnf(refute_0_606,plain,
( multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))
| multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)) != X_48
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))) ),[1,1],$fot(X_48)]]) ).
cnf(refute_0_607,plain,
( multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)) != X_48
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) = multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50)),X_48) )],[refute_0_601,refute_0_607]) ).
cnf(refute_0_609,plain,
( multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != X_12
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48)
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),X_12) ),[0],$fot(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48))]]) ).
cnf(refute_0_610,plain,
( multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))) != X_12
| multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),X_48) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_48)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_49,X_50))),inverse(X_48)),multiply(X_49,X_50))),X_12) )],[refute_0_604,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(double_divide(inverse(inverse(X_52)),inverse(multiply(double_divide(identity,X_21),identity))),X_52) = multiply(double_divide(identity,X_21),identity),
inference(subst,[],[refute_0_611:[bind(X_12,$fot(multiply(double_divide(identity,X_21),identity))),bind(X_48,$fot(X_52))]]) ).
cnf(refute_0_613,plain,
( multiply(double_divide(inverse(inverse(X_52)),inverse(multiply(double_divide(identity,X_21),identity))),X_52) != multiply(double_divide(identity,X_21),identity)
| inverse(multiply(double_divide(identity,X_21),identity)) != X_21
| multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(identity,X_21),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),inverse(multiply(double_divide(identity,X_21),identity))),X_52),multiply(double_divide(identity,X_21),identity)) ),[0,0,1],$fot(X_21)]]) ).
cnf(refute_0_614,plain,
( multiply(double_divide(inverse(inverse(X_52)),inverse(multiply(double_divide(identity,X_21),identity))),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(identity,X_21),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_21),identity)),X_21) )],[refute_0_385,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(identity,X_21),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),inverse(multiply(double_divide(identity,X_21),identity))),X_52),multiply(double_divide(identity,X_21),identity)) )],[refute_0_612,refute_0_614]) ).
cnf(refute_0_616,plain,
inverse(inverse(X_52)) = X_52,
inference(subst,[],[refute_0_587:[bind(X_59,$fot(X_52))]]) ).
cnf(refute_0_617,plain,
double_divide(inverse(inverse(X_52)),X_21) = double_divide(inverse(inverse(X_52)),X_21),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_52)),X_21))]]) ).
cnf(refute_0_618,plain,
( double_divide(inverse(inverse(X_52)),X_21) != double_divide(inverse(inverse(X_52)),X_21)
| inverse(inverse(X_52)) != X_52
| double_divide(inverse(inverse(X_52)),X_21) = double_divide(X_52,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_52)),X_21),double_divide(inverse(inverse(X_52)),X_21)) ),[1,0],$fot(X_52)]]) ).
cnf(refute_0_619,plain,
( inverse(inverse(X_52)) != X_52
| double_divide(inverse(inverse(X_52)),X_21) = double_divide(X_52,X_21) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_52)),X_21),double_divide(inverse(inverse(X_52)),X_21)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
double_divide(inverse(inverse(X_52)),X_21) = double_divide(X_52,X_21),
inference(resolve,[$cnf( $equal(inverse(inverse(X_52)),X_52) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52))]]) ).
cnf(refute_0_622,plain,
( multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) != multiply(double_divide(inverse(inverse(X_52)),X_21),X_52)
| double_divide(inverse(inverse(X_52)),X_21) != double_divide(X_52,X_21)
| multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(X_52,X_21),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),multiply(double_divide(inverse(inverse(X_52)),X_21),X_52)) ),[1,0],$fot(double_divide(X_52,X_21))]]) ).
cnf(refute_0_623,plain,
( double_divide(inverse(inverse(X_52)),X_21) != double_divide(X_52,X_21)
| multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(X_52,X_21),X_52) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),multiply(double_divide(inverse(inverse(X_52)),X_21),X_52)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) = multiply(double_divide(X_52,X_21),X_52),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_52)),X_21),double_divide(X_52,X_21)) )],[refute_0_620,refute_0_623]) ).
cnf(refute_0_625,plain,
( multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) != multiply(double_divide(X_52,X_21),X_52)
| multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(X_52,X_21),X_52) = multiply(double_divide(identity,X_21),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),multiply(double_divide(identity,X_21),identity)) ),[0],$fot(multiply(double_divide(X_52,X_21),X_52))]]) ).
cnf(refute_0_626,plain,
( multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(X_52,X_21),X_52) = multiply(double_divide(identity,X_21),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),multiply(double_divide(X_52,X_21),X_52)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
double_divide(identity,X_21) = inverse(X_21),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(X_21))]]) ).
cnf(refute_0_628,plain,
inverse(inverse(multiply(X_59,identity))) = double_divide(inverse(multiply(X_59,identity)),identity),
inference(subst,[],[inverse:[bind(X,$fot(inverse(multiply(X_59,identity))))]]) ).
cnf(refute_0_629,plain,
( inverse(inverse(multiply(X_59,identity))) != X_59
| inverse(inverse(multiply(X_59,identity))) != double_divide(inverse(multiply(X_59,identity)),identity)
| X_59 = double_divide(inverse(multiply(X_59,identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),double_divide(inverse(multiply(X_59,identity)),identity)) ),[0],$fot(X_59)]]) ).
cnf(refute_0_630,plain,
( inverse(inverse(multiply(X_59,identity))) != double_divide(inverse(multiply(X_59,identity)),identity)
| X_59 = double_divide(inverse(multiply(X_59,identity)),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),X_59) )],[refute_0_561,refute_0_629]) ).
cnf(refute_0_631,plain,
X_59 = double_divide(inverse(multiply(X_59,identity)),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),double_divide(inverse(multiply(X_59,identity)),identity)) )],[refute_0_628,refute_0_630]) ).
cnf(refute_0_632,plain,
inverse(inverse(multiply(X_59,identity))) = multiply(X_59,identity),
inference(subst,[],[refute_0_587:[bind(X_59,$fot(multiply(X_59,identity)))]]) ).
cnf(refute_0_633,plain,
double_divide(inverse(multiply(X_59,identity)),identity) = inverse(inverse(multiply(X_59,identity))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(multiply(X_59,identity))))]]) ).
cnf(refute_0_634,plain,
( double_divide(inverse(multiply(X_59,identity)),identity) != inverse(inverse(multiply(X_59,identity)))
| inverse(inverse(multiply(X_59,identity))) != multiply(X_59,identity)
| double_divide(inverse(multiply(X_59,identity)),identity) = multiply(X_59,identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(multiply(X_59,identity)),identity))),bind(Y0,$fot(inverse(inverse(multiply(X_59,identity))))),bind(Z0,$fot(multiply(X_59,identity)))]]) ).
cnf(refute_0_635,plain,
( inverse(inverse(multiply(X_59,identity))) != multiply(X_59,identity)
| double_divide(inverse(multiply(X_59,identity)),identity) = multiply(X_59,identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_59,identity)),identity),inverse(inverse(multiply(X_59,identity)))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
double_divide(inverse(multiply(X_59,identity)),identity) = multiply(X_59,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_59,identity))),multiply(X_59,identity)) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( X_59 != double_divide(inverse(multiply(X_59,identity)),identity)
| double_divide(inverse(multiply(X_59,identity)),identity) != multiply(X_59,identity)
| X_59 = multiply(X_59,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_59,multiply(X_59,identity)) ),[0],$fot(double_divide(inverse(multiply(X_59,identity)),identity))]]) ).
cnf(refute_0_638,plain,
( X_59 != double_divide(inverse(multiply(X_59,identity)),identity)
| X_59 = multiply(X_59,identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_59,identity)),identity),multiply(X_59,identity)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
X_59 = multiply(X_59,identity),
inference(resolve,[$cnf( $equal(X_59,double_divide(inverse(multiply(X_59,identity)),identity)) )],[refute_0_631,refute_0_638]) ).
cnf(refute_0_640,plain,
( X_59 != multiply(X_59,identity)
| multiply(X_59,identity) = X_59 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_59)),bind(Y0,$fot(multiply(X_59,identity)))]]) ).
cnf(refute_0_641,plain,
multiply(X_59,identity) = X_59,
inference(resolve,[$cnf( $equal(X_59,multiply(X_59,identity)) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(double_divide(identity,X_21),identity) = double_divide(identity,X_21),
inference(subst,[],[refute_0_641:[bind(X_59,$fot(double_divide(identity,X_21)))]]) ).
cnf(refute_0_643,plain,
( multiply(double_divide(identity,X_21),identity) != double_divide(identity,X_21)
| double_divide(identity,X_21) != inverse(X_21)
| multiply(double_divide(identity,X_21),identity) = inverse(X_21) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(double_divide(identity,X_21),identity))),bind(Y0,$fot(double_divide(identity,X_21))),bind(Z0,$fot(inverse(X_21)))]]) ).
cnf(refute_0_644,plain,
( double_divide(identity,X_21) != inverse(X_21)
| multiply(double_divide(identity,X_21),identity) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_21),identity),double_divide(identity,X_21)) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(double_divide(identity,X_21),identity) = inverse(X_21),
inference(resolve,[$cnf( $equal(double_divide(identity,X_21),inverse(X_21)) )],[refute_0_627,refute_0_644]) ).
cnf(refute_0_646,plain,
( multiply(double_divide(X_52,X_21),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(identity,X_21),identity) != inverse(X_21)
| multiply(double_divide(X_52,X_21),X_52) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_52,X_21),X_52),inverse(X_21)) ),[0],$fot(multiply(double_divide(identity,X_21),identity))]]) ).
cnf(refute_0_647,plain,
( multiply(double_divide(X_52,X_21),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(X_52,X_21),X_52) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_21),identity),inverse(X_21)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
( multiply(double_divide(inverse(inverse(X_52)),X_21),X_52) != multiply(double_divide(identity,X_21),identity)
| multiply(double_divide(X_52,X_21),X_52) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_52,X_21),X_52),multiply(double_divide(identity,X_21),identity)) )],[refute_0_626,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(double_divide(X_52,X_21),X_52) = inverse(X_21),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),X_21),X_52),multiply(double_divide(identity,X_21),identity)) )],[refute_0_615,refute_0_648]) ).
cnf(refute_0_650,plain,
multiply(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),multiply(double_divide(X_92,X_70),X_70)) = inverse(X_92),
inference(subst,[],[refute_0_649:[bind(X_21,$fot(X_92)),bind(X_52,$fot(multiply(double_divide(X_92,X_70),X_70)))]]) ).
cnf(refute_0_651,plain,
multiply(double_divide(Y,X),identity) = double_divide(Y,X),
inference(subst,[],[refute_0_641:[bind(X_59,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_652,plain,
multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)))]]) ).
cnf(refute_0_653,plain,
( multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) != multiply(multiply(double_divide(Y,X),identity),multiply(X,Y))
| multiply(double_divide(Y,X),identity) != double_divide(Y,X)
| multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = multiply(double_divide(Y,X),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),multiply(multiply(double_divide(Y,X),identity),multiply(X,Y))) ),[1,0],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_654,plain,
( multiply(double_divide(Y,X),identity) != double_divide(Y,X)
| multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = multiply(double_divide(Y,X),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),multiply(multiply(double_divide(Y,X),identity),multiply(X,Y))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) = multiply(double_divide(Y,X),multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),identity),double_divide(Y,X)) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
( multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) != multiply(double_divide(Y,X),multiply(X,Y))
| multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) != identity
| multiply(double_divide(Y,X),multiply(X,Y)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),identity) ),[0],$fot(multiply(double_divide(Y,X),multiply(X,Y)))]]) ).
cnf(refute_0_657,plain,
( multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)) != identity
| multiply(double_divide(Y,X),multiply(X,Y)) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),multiply(double_divide(Y,X),multiply(X,Y))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
multiply(double_divide(Y,X),multiply(X,Y)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(Y,X),identity),multiply(X,Y)),identity) )],[refute_0_531,refute_0_657]) ).
cnf(refute_0_659,plain,
multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),multiply(X,multiply(double_divide(X,X_70),X_70))) = identity,
inference(subst,[],[refute_0_658:[bind(Y,$fot(multiply(double_divide(X,X_70),X_70)))]]) ).
cnf(refute_0_660,plain,
double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_102:[bind(X_11,$fot(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_661,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity)) = Z,
inference(subst,[],[refute_0_23:[bind(X,$fot(identity))]]) ).
cnf(refute_0_662,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity)) != Z
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_663,plain,
( double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity)),Z) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),inverse(identity))),inverse(identity)),identity) )],[refute_0_660,refute_0_663]) ).
cnf(refute_0_665,plain,
double_divide(Y,identity) = inverse(Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_666,plain,
double_divide(Z,double_divide(Y,identity)) = double_divide(Z,double_divide(Y,identity)),
introduced(tautology,[refl,[$fot(double_divide(Z,double_divide(Y,identity)))]]) ).
cnf(refute_0_667,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Z,double_divide(Y,identity)) != double_divide(Z,double_divide(Y,identity))
| double_divide(Z,double_divide(Y,identity)) = double_divide(Z,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(Z,double_divide(Y,identity)),double_divide(Z,double_divide(Y,identity))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_668,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Z,double_divide(Y,identity)) = double_divide(Z,inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(Z,double_divide(Y,identity)),double_divide(Z,double_divide(Y,identity))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
double_divide(Z,double_divide(Y,identity)) = double_divide(Z,inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) = multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)),
introduced(tautology,[refl,[$fot(multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)))]]) ).
cnf(refute_0_671,plain,
( multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) != multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y))
| double_divide(Z,double_divide(Y,identity)) != double_divide(Z,inverse(Y))
| multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)),multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y))) ),[1,0],$fot(double_divide(Z,inverse(Y)))]]) ).
cnf(refute_0_672,plain,
( double_divide(Z,double_divide(Y,identity)) != double_divide(Z,inverse(Y))
| multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)),multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),
inference(resolve,[$cnf( $equal(double_divide(Z,double_divide(Y,identity)),double_divide(Z,inverse(Y))) )],[refute_0_669,refute_0_672]) ).
cnf(refute_0_674,plain,
inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) = multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(Z,double_divide(Y,identity)))),bind(Y,$fot(double_divide(identity,Y)))]]) ).
cnf(refute_0_675,plain,
( multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) != multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))
| inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) != multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y))
| inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))))),bind(Y0,$fot(multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)))),bind(Z0,$fot(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))))]]) ).
cnf(refute_0_676,plain,
( multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)) != multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))
| inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(Z,double_divide(Y,identity)),double_divide(identity,Y)),multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) )],[refute_0_673,refute_0_676]) ).
cnf(refute_0_678,plain,
double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) = double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z))]]) ).
cnf(refute_0_679,plain,
( double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) != double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z)
| inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) != multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))
| double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) = double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z)) ),[1,0],$fot(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))]]) ).
cnf(refute_0_680,plain,
( inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))) != multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))
| double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) = double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z)) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) = double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) )],[refute_0_677,refute_0_680]) ).
cnf(refute_0_682,plain,
double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)))]]) ).
cnf(refute_0_683,plain,
( double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) != double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity))
| double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) != double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity))) ),[1,0],$fot(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z))]]) ).
cnf(refute_0_684,plain,
( double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z) != double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
( double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) != double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity))
| double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)))]]) ).
cnf(refute_0_687,plain,
( double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,identity)))),Z),inverse(identity)),identity) )],[refute_0_664,refute_0_687]) ).
cnf(refute_0_689,plain,
inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),
inference(subst,[],[refute_0_159:[bind(X,$fot(Z)),bind(Y,$fot(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))))]]) ).
cnf(refute_0_690,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) = inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)))]]) ).
cnf(refute_0_691,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) != inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z))
| inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity))),bind(Y0,$fot(inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)))),bind(Z0,$fot(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))))]]) ).
cnf(refute_0_692,plain,
( inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity),inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z)),multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))) )],[refute_0_689,refute_0_692]) ).
cnf(refute_0_694,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)))]]) ).
cnf(refute_0_695,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) != double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_696,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_696]) ).
cnf(refute_0_698,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) != double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity)
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity))),bind(Z0,$fot(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))))]]) ).
cnf(refute_0_699,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity)) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),identity),multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))) )],[refute_0_693,refute_0_699]) ).
cnf(refute_0_701,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) != identity
| multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),identity) ),[0],$fot(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))))]]) ).
cnf(refute_0_702,plain,
( double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)) != identity
| multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),Z),inverse(identity)),identity) )],[refute_0_688,refute_0_702]) ).
cnf(refute_0_704,plain,
double_divide(identity,Y) = inverse(Y),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(Y))]]) ).
cnf(refute_0_705,plain,
multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),
introduced(tautology,[refl,[$fot(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))]]) ).
cnf(refute_0_706,plain,
( multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) != multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))
| double_divide(identity,Y) != inverse(Y)
| multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_707,plain,
( double_divide(identity,Y) != inverse(Y)
| multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) = multiply(double_divide(Z,inverse(Y)),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(identity,Y),inverse(Y)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))))]]) ).
cnf(refute_0_710,plain,
( multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) != multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))
| multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) != multiply(double_divide(Z,inverse(Y)),inverse(Y))
| multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))) ),[1,1],$fot(multiply(double_divide(Z,inverse(Y)),inverse(Y)))]]) ).
cnf(refute_0_711,plain,
( multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)) != multiply(double_divide(Z,inverse(Y)),inverse(Y))
| multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) = multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y)),multiply(double_divide(Z,inverse(Y)),inverse(Y))) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
( multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) != multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y)))
| multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) != identity
| multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),identity) ),[0],$fot(multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))))]]) ).
cnf(refute_0_714,plain,
( multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))) != identity
| multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))) = identity ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y)))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(Z,multiply(double_divide(Z,inverse(Y)),inverse(Y))) = identity,
inference(resolve,[$cnf( $equal(multiply(Z,multiply(double_divide(Z,inverse(Y)),double_divide(identity,Y))),identity) )],[refute_0_703,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),inverse(inverse(X_59)))) = identity,
inference(subst,[],[refute_0_715:[bind(Y,$fot(inverse(X_59))),bind(Z,$fot(X_69))]]) ).
cnf(refute_0_717,plain,
( multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),inverse(inverse(X_59)))) != identity
| inverse(inverse(X_59)) != X_59
| multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),inverse(inverse(X_59)))),identity) ),[0,1,1],$fot(X_59)]]) ).
cnf(refute_0_718,plain,
( multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),inverse(inverse(X_59)))) != identity
| multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_59)),X_59) )],[refute_0_587,refute_0_717]) ).
cnf(refute_0_719,plain,
multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = identity,
inference(resolve,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),inverse(inverse(X_59)))),identity) )],[refute_0_716,refute_0_718]) ).
cnf(refute_0_720,plain,
double_divide(X_69,inverse(inverse(X_59))) = double_divide(X_69,inverse(inverse(X_59))),
introduced(tautology,[refl,[$fot(double_divide(X_69,inverse(inverse(X_59))))]]) ).
cnf(refute_0_721,plain,
( double_divide(X_69,inverse(inverse(X_59))) != double_divide(X_69,inverse(inverse(X_59)))
| inverse(inverse(X_59)) != X_59
| double_divide(X_69,inverse(inverse(X_59))) = double_divide(X_69,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_69,inverse(inverse(X_59))),double_divide(X_69,inverse(inverse(X_59)))) ),[1,1],$fot(X_59)]]) ).
cnf(refute_0_722,plain,
( inverse(inverse(X_59)) != X_59
| double_divide(X_69,inverse(inverse(X_59))) = double_divide(X_69,X_59) ),
inference(resolve,[$cnf( $equal(double_divide(X_69,inverse(inverse(X_59))),double_divide(X_69,inverse(inverse(X_59)))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
double_divide(X_69,inverse(inverse(X_59))) = double_divide(X_69,X_59),
inference(resolve,[$cnf( $equal(inverse(inverse(X_59)),X_59) )],[refute_0_587,refute_0_722]) ).
cnf(refute_0_724,plain,
multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) = multiply(double_divide(X_69,inverse(inverse(X_59))),X_59),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_69,inverse(inverse(X_59))),X_59))]]) ).
cnf(refute_0_725,plain,
( multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) != multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)
| double_divide(X_69,inverse(inverse(X_59))) != double_divide(X_69,X_59)
| multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) = multiply(double_divide(X_69,X_59),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_69,inverse(inverse(X_59))),X_59),multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) ),[1,0],$fot(double_divide(X_69,X_59))]]) ).
cnf(refute_0_726,plain,
( double_divide(X_69,inverse(inverse(X_59))) != double_divide(X_69,X_59)
| multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) = multiply(double_divide(X_69,X_59),X_59) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_69,inverse(inverse(X_59))),X_59),multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) = multiply(double_divide(X_69,X_59),X_59),
inference(resolve,[$cnf( $equal(double_divide(X_69,inverse(inverse(X_59))),double_divide(X_69,X_59)) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),
introduced(tautology,[refl,[$fot(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)))]]) ).
cnf(refute_0_729,plain,
( multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) != multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59))
| multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) != multiply(double_divide(X_69,X_59),X_59)
| multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = multiply(X_69,multiply(double_divide(X_69,X_59),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59))) ),[1,1],$fot(multiply(double_divide(X_69,X_59),X_59))]]) ).
cnf(refute_0_730,plain,
( multiply(double_divide(X_69,inverse(inverse(X_59))),X_59) != multiply(double_divide(X_69,X_59),X_59)
| multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = multiply(X_69,multiply(double_divide(X_69,X_59),X_59)) ),
inference(resolve,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) = multiply(X_69,multiply(double_divide(X_69,X_59),X_59)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_69,inverse(inverse(X_59))),X_59),multiply(double_divide(X_69,X_59),X_59)) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
( multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) != multiply(X_69,multiply(double_divide(X_69,X_59),X_59))
| multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) != identity
| multiply(X_69,multiply(double_divide(X_69,X_59),X_59)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),identity) ),[0],$fot(multiply(X_69,multiply(double_divide(X_69,X_59),X_59)))]]) ).
cnf(refute_0_733,plain,
( multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)) != identity
| multiply(X_69,multiply(double_divide(X_69,X_59),X_59)) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),multiply(X_69,multiply(double_divide(X_69,X_59),X_59))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiply(X_69,multiply(double_divide(X_69,X_59),X_59)) = identity,
inference(resolve,[$cnf( $equal(multiply(X_69,multiply(double_divide(X_69,inverse(inverse(X_59))),X_59)),identity) )],[refute_0_719,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X,multiply(double_divide(X,X_70),X_70)) = identity,
inference(subst,[],[refute_0_734:[bind(X_59,$fot(X_70)),bind(X_69,$fot(X))]]) ).
cnf(refute_0_736,plain,
( multiply(X,multiply(double_divide(X,X_70),X_70)) != identity
| multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),multiply(X,multiply(double_divide(X,X_70),X_70))) != identity
| multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),multiply(X,multiply(double_divide(X,X_70),X_70))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_737,plain,
( multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),multiply(X,multiply(double_divide(X,X_70),X_70))) != identity
| multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(double_divide(X,X_70),X_70)),identity) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),multiply(X,multiply(double_divide(X,X_70),X_70))),identity) )],[refute_0_659,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) = double_divide(multiply(double_divide(X,X_70),X_70),X),
inference(subst,[],[refute_0_641:[bind(X_59,$fot(double_divide(multiply(double_divide(X,X_70),X_70),X)))]]) ).
cnf(refute_0_740,plain,
( multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) != double_divide(multiply(double_divide(X,X_70),X_70),X)
| multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) != identity
| double_divide(multiply(double_divide(X,X_70),X_70),X) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity),identity) ),[0],$fot(double_divide(multiply(double_divide(X,X_70),X_70),X))]]) ).
cnf(refute_0_741,plain,
( multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity) != identity
| double_divide(multiply(double_divide(X,X_70),X_70),X) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity),double_divide(multiply(double_divide(X,X_70),X_70),X)) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
double_divide(multiply(double_divide(X,X_70),X_70),X) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X,X_70),X_70),X),identity),identity) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
double_divide(multiply(double_divide(X_92,X_70),X_70),X_92) = identity,
inference(subst,[],[refute_0_742:[bind(X,$fot(X_92))]]) ).
cnf(refute_0_744,plain,
( multiply(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),multiply(double_divide(X_92,X_70),X_70)) != inverse(X_92)
| double_divide(multiply(double_divide(X_92,X_70),X_70),X_92) != identity
| multiply(identity,multiply(double_divide(X_92,X_70),X_70)) = inverse(X_92) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),multiply(double_divide(X_92,X_70),X_70)),inverse(X_92)) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_745,plain,
( multiply(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),multiply(double_divide(X_92,X_70),X_70)) != inverse(X_92)
| multiply(identity,multiply(double_divide(X_92,X_70),X_70)) = inverse(X_92) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),identity) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
multiply(identity,multiply(double_divide(X_92,X_70),X_70)) = inverse(X_92),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(double_divide(X_92,X_70),X_70),X_92),multiply(double_divide(X_92,X_70),X_70)),inverse(X_92)) )],[refute_0_650,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(identity,multiply(double_divide(X_92,X_70),X_70)) = multiply(double_divide(X_92,X_70),X_70),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(multiply(double_divide(X_92,X_70),X_70)))]]) ).
cnf(refute_0_748,plain,
( multiply(identity,multiply(double_divide(X_92,X_70),X_70)) != multiply(double_divide(X_92,X_70),X_70)
| multiply(identity,multiply(double_divide(X_92,X_70),X_70)) != inverse(X_92)
| multiply(double_divide(X_92,X_70),X_70) = inverse(X_92) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(X_92,X_70),X_70)),inverse(X_92)) ),[0],$fot(multiply(double_divide(X_92,X_70),X_70))]]) ).
cnf(refute_0_749,plain,
( multiply(identity,multiply(double_divide(X_92,X_70),X_70)) != inverse(X_92)
| multiply(double_divide(X_92,X_70),X_70) = inverse(X_92) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(X_92,X_70),X_70)),multiply(double_divide(X_92,X_70),X_70)) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
multiply(double_divide(X_92,X_70),X_70) = inverse(X_92),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(X_92,X_70),X_70)),inverse(X_92)) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
multiply(double_divide(double_divide(X_101,X_70),X_70),X_70) = inverse(double_divide(X_101,X_70)),
inference(subst,[],[refute_0_750:[bind(X_92,$fot(double_divide(X_101,X_70)))]]) ).
cnf(refute_0_752,plain,
double_divide(identity,multiply(X,Y)) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_753,plain,
( double_divide(identity,multiply(X,Y)) != multiply(double_divide(Y,X),identity)
| double_divide(identity,multiply(X,Y)) != inverse(multiply(X,Y))
| inverse(multiply(X,Y)) = multiply(double_divide(Y,X),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X,Y)),multiply(double_divide(Y,X),identity)) ),[0],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_754,plain,
( double_divide(identity,multiply(X,Y)) != multiply(double_divide(Y,X),identity)
| inverse(multiply(X,Y)) = multiply(double_divide(Y,X),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X,Y)),inverse(multiply(X,Y))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
( multiply(double_divide(Y,X),identity) != double_divide(Y,X)
| inverse(multiply(X,Y)) != multiply(double_divide(Y,X),identity)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,Y)),multiply(double_divide(Y,X),identity)) ),[1],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_756,plain,
( inverse(multiply(X,Y)) != multiply(double_divide(Y,X),identity)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),identity),double_divide(Y,X)) )],[refute_0_651,refute_0_755]) ).
cnf(refute_0_757,plain,
( double_divide(identity,multiply(X,Y)) != multiply(double_divide(Y,X),identity)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),multiply(double_divide(Y,X),identity)) )],[refute_0_754,refute_0_756]) ).
cnf(refute_0_758,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X,Y)),multiply(double_divide(Y,X),identity)) )],[refute_0_295,refute_0_757]) ).
cnf(refute_0_759,plain,
inverse(multiply(X,double_divide(X_99,X))) = double_divide(double_divide(X_99,X),X),
inference(subst,[],[refute_0_758:[bind(Y,$fot(double_divide(X_99,X)))]]) ).
cnf(refute_0_760,plain,
multiply(double_divide(X_97,double_divide(X_97,X_92)),double_divide(X_97,X_92)) = inverse(X_97),
inference(subst,[],[refute_0_750:[bind(X_70,$fot(double_divide(X_97,X_92))),bind(X_92,$fot(X_97))]]) ).
cnf(refute_0_761,plain,
inverse(multiply(double_divide(Y,X_92),Y)) = double_divide(Y,double_divide(Y,X_92)),
inference(subst,[],[refute_0_758:[bind(X,$fot(double_divide(Y,X_92)))]]) ).
cnf(refute_0_762,plain,
multiply(double_divide(Y,X_92),Y) = inverse(X_92),
inference(subst,[],[refute_0_649:[bind(X_21,$fot(X_92)),bind(X_52,$fot(Y))]]) ).
cnf(refute_0_763,plain,
( multiply(double_divide(Y,X_92),Y) != inverse(X_92)
| inverse(multiply(double_divide(Y,X_92),Y)) != double_divide(Y,double_divide(Y,X_92))
| inverse(inverse(X_92)) = double_divide(Y,double_divide(Y,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(Y,X_92),Y)),double_divide(Y,double_divide(Y,X_92))) ),[0,0],$fot(inverse(X_92))]]) ).
cnf(refute_0_764,plain,
( inverse(multiply(double_divide(Y,X_92),Y)) != double_divide(Y,double_divide(Y,X_92))
| inverse(inverse(X_92)) = double_divide(Y,double_divide(Y,X_92)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X_92),Y),inverse(X_92)) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
inverse(inverse(X_92)) = double_divide(Y,double_divide(Y,X_92)),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(Y,X_92),Y)),double_divide(Y,double_divide(Y,X_92))) )],[refute_0_761,refute_0_764]) ).
cnf(refute_0_766,plain,
inverse(inverse(X_92)) = X_92,
inference(subst,[],[refute_0_587:[bind(X_59,$fot(X_92))]]) ).
cnf(refute_0_767,plain,
( inverse(inverse(X_92)) != X_92
| inverse(inverse(X_92)) != double_divide(Y,double_divide(Y,X_92))
| X_92 = double_divide(Y,double_divide(Y,X_92)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_92)),double_divide(Y,double_divide(Y,X_92))) ),[0],$fot(X_92)]]) ).
cnf(refute_0_768,plain,
( inverse(inverse(X_92)) != double_divide(Y,double_divide(Y,X_92))
| X_92 = double_divide(Y,double_divide(Y,X_92)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_92)),X_92) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
X_92 = double_divide(Y,double_divide(Y,X_92)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_92)),double_divide(Y,double_divide(Y,X_92))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
X_92 = double_divide(X_97,double_divide(X_97,X_92)),
inference(subst,[],[refute_0_769:[bind(Y,$fot(X_97))]]) ).
cnf(refute_0_771,plain,
( X_92 != double_divide(X_97,double_divide(X_97,X_92))
| double_divide(X_97,double_divide(X_97,X_92)) = X_92 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_92)),bind(Y0,$fot(double_divide(X_97,double_divide(X_97,X_92))))]]) ).
cnf(refute_0_772,plain,
double_divide(X_97,double_divide(X_97,X_92)) = X_92,
inference(resolve,[$cnf( $equal(X_92,double_divide(X_97,double_divide(X_97,X_92))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( multiply(double_divide(X_97,double_divide(X_97,X_92)),double_divide(X_97,X_92)) != inverse(X_97)
| double_divide(X_97,double_divide(X_97,X_92)) != X_92
| multiply(X_92,double_divide(X_97,X_92)) = inverse(X_97) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_97,double_divide(X_97,X_92)),double_divide(X_97,X_92)),inverse(X_97)) ),[0,0],$fot(X_92)]]) ).
cnf(refute_0_774,plain,
( multiply(double_divide(X_97,double_divide(X_97,X_92)),double_divide(X_97,X_92)) != inverse(X_97)
| multiply(X_92,double_divide(X_97,X_92)) = inverse(X_97) ),
inference(resolve,[$cnf( $equal(double_divide(X_97,double_divide(X_97,X_92)),X_92) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(X_92,double_divide(X_97,X_92)) = inverse(X_97),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_97,double_divide(X_97,X_92)),double_divide(X_97,X_92)),inverse(X_97)) )],[refute_0_760,refute_0_774]) ).
cnf(refute_0_776,plain,
multiply(X,double_divide(X_99,X)) = inverse(X_99),
inference(subst,[],[refute_0_775:[bind(X_92,$fot(X)),bind(X_97,$fot(X_99))]]) ).
cnf(refute_0_777,plain,
( multiply(X,double_divide(X_99,X)) != inverse(X_99)
| inverse(multiply(X,double_divide(X_99,X))) != double_divide(double_divide(X_99,X),X)
| inverse(inverse(X_99)) = double_divide(double_divide(X_99,X),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,double_divide(X_99,X))),double_divide(double_divide(X_99,X),X)) ),[0,0],$fot(inverse(X_99))]]) ).
cnf(refute_0_778,plain,
( inverse(multiply(X,double_divide(X_99,X))) != double_divide(double_divide(X_99,X),X)
| inverse(inverse(X_99)) = double_divide(double_divide(X_99,X),X) ),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(X_99,X)),inverse(X_99)) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
inverse(inverse(X_99)) = double_divide(double_divide(X_99,X),X),
inference(resolve,[$cnf( $equal(inverse(multiply(X,double_divide(X_99,X))),double_divide(double_divide(X_99,X),X)) )],[refute_0_759,refute_0_778]) ).
cnf(refute_0_780,plain,
inverse(inverse(X_99)) = X_99,
inference(subst,[],[refute_0_587:[bind(X_59,$fot(X_99))]]) ).
cnf(refute_0_781,plain,
( inverse(inverse(X_99)) != X_99
| inverse(inverse(X_99)) != double_divide(double_divide(X_99,X),X)
| X_99 = double_divide(double_divide(X_99,X),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_99)),double_divide(double_divide(X_99,X),X)) ),[0],$fot(X_99)]]) ).
cnf(refute_0_782,plain,
( inverse(inverse(X_99)) != double_divide(double_divide(X_99,X),X)
| X_99 = double_divide(double_divide(X_99,X),X) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_99)),X_99) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
X_99 = double_divide(double_divide(X_99,X),X),
inference(resolve,[$cnf( $equal(inverse(inverse(X_99)),double_divide(double_divide(X_99,X),X)) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
X_101 = double_divide(double_divide(X_101,X_70),X_70),
inference(subst,[],[refute_0_783:[bind(X,$fot(X_70)),bind(X_99,$fot(X_101))]]) ).
cnf(refute_0_785,plain,
( X_101 != double_divide(double_divide(X_101,X_70),X_70)
| double_divide(double_divide(X_101,X_70),X_70) = X_101 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_101)),bind(Y0,$fot(double_divide(double_divide(X_101,X_70),X_70)))]]) ).
cnf(refute_0_786,plain,
double_divide(double_divide(X_101,X_70),X_70) = X_101,
inference(resolve,[$cnf( $equal(X_101,double_divide(double_divide(X_101,X_70),X_70)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
( multiply(double_divide(double_divide(X_101,X_70),X_70),X_70) != inverse(double_divide(X_101,X_70))
| double_divide(double_divide(X_101,X_70),X_70) != X_101
| multiply(X_101,X_70) = inverse(double_divide(X_101,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_101,X_70),X_70),X_70),inverse(double_divide(X_101,X_70))) ),[0,0],$fot(X_101)]]) ).
cnf(refute_0_788,plain,
( multiply(double_divide(double_divide(X_101,X_70),X_70),X_70) != inverse(double_divide(X_101,X_70))
| multiply(X_101,X_70) = inverse(double_divide(X_101,X_70)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_101,X_70),X_70),X_101) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
multiply(X_101,X_70) = inverse(double_divide(X_101,X_70)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_101,X_70),X_70),X_70),inverse(double_divide(X_101,X_70))) )],[refute_0_751,refute_0_788]) ).
cnf(refute_0_790,plain,
inverse(double_divide(X_101,X_70)) = multiply(X_70,X_101),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_70)),bind(Y,$fot(X_101))]]) ).
cnf(refute_0_791,plain,
( multiply(X_101,X_70) != inverse(double_divide(X_101,X_70))
| inverse(double_divide(X_101,X_70)) != multiply(X_70,X_101)
| multiply(X_101,X_70) = multiply(X_70,X_101) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_101,X_70),multiply(X_70,X_101)) ),[0],$fot(inverse(double_divide(X_101,X_70)))]]) ).
cnf(refute_0_792,plain,
( multiply(X_101,X_70) != inverse(double_divide(X_101,X_70))
| multiply(X_101,X_70) = multiply(X_70,X_101) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_101,X_70)),multiply(X_70,X_101)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(X_101,X_70) = multiply(X_70,X_101),
inference(resolve,[$cnf( $equal(multiply(X_101,X_70),inverse(double_divide(X_101,X_70))) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
( multiply(X_101,X_70) != multiply(X_70,X_101)
| multiply(X_70,X_101) = multiply(X_101,X_70) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_101,X_70))),bind(Y0,$fot(multiply(X_70,X_101)))]]) ).
cnf(refute_0_795,plain,
multiply(X_70,X_101) = multiply(X_101,X_70),
inference(resolve,[$cnf( $equal(multiply(X_101,X_70),multiply(X_70,X_101)) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_795:[bind(X_101,$fot(a4)),bind(X_70,$fot(b4))]]) ).
cnf(refute_0_797,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_798,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_798,refute_0_599]) ).
cnf(refute_0_800,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_795:[bind(X_101,$fot(c3)),bind(X_70,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_801,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_802,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_802,refute_0_799]) ).
cnf(refute_0_804,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_805,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_804,refute_0_803]) ).
cnf(refute_0_806,plain,
X_92 = double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92)),
inference(subst,[],[refute_0_769:[bind(Y,$fot(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92)))))]]) ).
cnf(refute_0_807,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) = Z,
inference(subst,[],[refute_0_23:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_808,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_23:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_809,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)),Z) ),[0,0,1,1,1],$fot(X_12)]]) ).
cnf(refute_0_810,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)),X_12) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)),Z) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
inverse(double_divide(X_12,double_divide(X_11,X_10))) = multiply(double_divide(X_11,X_10),X_12),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(X_11,X_10))),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_813,plain,
multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_814,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_12,double_divide(X_11,X_10))) != multiply(double_divide(X_11,X_10),X_12)
| multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) ),[1,1],$fot(multiply(double_divide(X_11,X_10),X_12))]]) ).
cnf(refute_0_815,plain,
( inverse(double_divide(X_12,double_divide(X_11,X_10))) != multiply(double_divide(X_11,X_10),X_12)
| multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_12,double_divide(X_11,X_10))),multiply(double_divide(X_11,X_10),X_12)) )],[refute_0_812,refute_0_815]) ).
cnf(refute_0_817,plain,
double_divide(X,X_103) = double_divide(double_divide(double_divide(X,X_103),X),X),
inference(subst,[],[refute_0_783:[bind(X_99,$fot(double_divide(X,X_103)))]]) ).
cnf(refute_0_818,plain,
X_92 = double_divide(double_divide(X_101,X_92),double_divide(double_divide(X_101,X_92),X_92)),
inference(subst,[],[refute_0_769:[bind(Y,$fot(double_divide(X_101,X_92)))]]) ).
cnf(refute_0_819,plain,
X_101 = double_divide(double_divide(X_101,X_92),X_92),
inference(subst,[],[refute_0_783:[bind(X,$fot(X_92)),bind(X_99,$fot(X_101))]]) ).
cnf(refute_0_820,plain,
( X_101 != double_divide(double_divide(X_101,X_92),X_92)
| double_divide(double_divide(X_101,X_92),X_92) = X_101 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_101)),bind(Y0,$fot(double_divide(double_divide(X_101,X_92),X_92)))]]) ).
cnf(refute_0_821,plain,
double_divide(double_divide(X_101,X_92),X_92) = X_101,
inference(resolve,[$cnf( $equal(X_101,double_divide(double_divide(X_101,X_92),X_92)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
( X_92 != double_divide(double_divide(X_101,X_92),double_divide(double_divide(X_101,X_92),X_92))
| double_divide(double_divide(X_101,X_92),X_92) != X_101
| X_92 = double_divide(double_divide(X_101,X_92),X_101) ),
introduced(tautology,[equality,[$cnf( $equal(X_92,double_divide(double_divide(X_101,X_92),double_divide(double_divide(X_101,X_92),X_92))) ),[1,1],$fot(X_101)]]) ).
cnf(refute_0_823,plain,
( X_92 != double_divide(double_divide(X_101,X_92),double_divide(double_divide(X_101,X_92),X_92))
| X_92 = double_divide(double_divide(X_101,X_92),X_101) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_101,X_92),X_92),X_101) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
X_92 = double_divide(double_divide(X_101,X_92),X_101),
inference(resolve,[$cnf( $equal(X_92,double_divide(double_divide(X_101,X_92),double_divide(double_divide(X_101,X_92),X_92))) )],[refute_0_818,refute_0_823]) ).
cnf(refute_0_825,plain,
X_103 = double_divide(double_divide(X,X_103),X),
inference(subst,[],[refute_0_824:[bind(X_101,$fot(X)),bind(X_92,$fot(X_103))]]) ).
cnf(refute_0_826,plain,
( X_103 != double_divide(double_divide(X,X_103),X)
| double_divide(double_divide(X,X_103),X) = X_103 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_103)),bind(Y0,$fot(double_divide(double_divide(X,X_103),X)))]]) ).
cnf(refute_0_827,plain,
double_divide(double_divide(X,X_103),X) = X_103,
inference(resolve,[$cnf( $equal(X_103,double_divide(double_divide(X,X_103),X)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
( double_divide(X,X_103) != double_divide(double_divide(double_divide(X,X_103),X),X)
| double_divide(double_divide(X,X_103),X) != X_103
| double_divide(X,X_103) = double_divide(X_103,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,X_103),double_divide(double_divide(double_divide(X,X_103),X),X)) ),[1,0],$fot(X_103)]]) ).
cnf(refute_0_829,plain,
( double_divide(X,X_103) != double_divide(double_divide(double_divide(X,X_103),X),X)
| double_divide(X,X_103) = double_divide(X_103,X) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_103),X),X_103) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
double_divide(X,X_103) = double_divide(X_103,X),
inference(resolve,[$cnf( $equal(double_divide(X,X_103),double_divide(double_divide(double_divide(X,X_103),X),X)) )],[refute_0_817,refute_0_829]) ).
cnf(refute_0_831,plain,
double_divide(inverse(X_118),X_103) = double_divide(X_103,inverse(X_118)),
inference(subst,[],[refute_0_830:[bind(X,$fot(inverse(X_118)))]]) ).
cnf(refute_0_832,plain,
multiply(double_divide(double_divide(X_101,X_21),X_21),double_divide(X_101,X_21)) = inverse(X_21),
inference(subst,[],[refute_0_649:[bind(X_52,$fot(double_divide(X_101,X_21)))]]) ).
cnf(refute_0_833,plain,
X_101 = double_divide(double_divide(X_101,X_21),X_21),
inference(subst,[],[refute_0_783:[bind(X,$fot(X_21)),bind(X_99,$fot(X_101))]]) ).
cnf(refute_0_834,plain,
( X_101 != double_divide(double_divide(X_101,X_21),X_21)
| double_divide(double_divide(X_101,X_21),X_21) = X_101 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_101)),bind(Y0,$fot(double_divide(double_divide(X_101,X_21),X_21)))]]) ).
cnf(refute_0_835,plain,
double_divide(double_divide(X_101,X_21),X_21) = X_101,
inference(resolve,[$cnf( $equal(X_101,double_divide(double_divide(X_101,X_21),X_21)) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
( multiply(double_divide(double_divide(X_101,X_21),X_21),double_divide(X_101,X_21)) != inverse(X_21)
| double_divide(double_divide(X_101,X_21),X_21) != X_101
| multiply(X_101,double_divide(X_101,X_21)) = inverse(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_101,X_21),X_21),double_divide(X_101,X_21)),inverse(X_21)) ),[0,0],$fot(X_101)]]) ).
cnf(refute_0_837,plain,
( multiply(double_divide(double_divide(X_101,X_21),X_21),double_divide(X_101,X_21)) != inverse(X_21)
| multiply(X_101,double_divide(X_101,X_21)) = inverse(X_21) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_101,X_21),X_21),X_101) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
multiply(X_101,double_divide(X_101,X_21)) = inverse(X_21),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_101,X_21),X_21),double_divide(X_101,X_21)),inverse(X_21)) )],[refute_0_832,refute_0_837]) ).
cnf(refute_0_839,plain,
multiply(X_101,double_divide(X_101,multiply(inverse(X_101),X_117))) = inverse(multiply(inverse(X_101),X_117)),
inference(subst,[],[refute_0_838:[bind(X_21,$fot(multiply(inverse(X_101),X_117)))]]) ).
cnf(refute_0_840,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),inverse(identity)) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),
inference(subst,[],[refute_0_217:[bind(X_19,$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))))]]) ).
cnf(refute_0_841,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),inverse(identity)) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),inverse(identity)),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) ),[0,0,1,1],$fot(X_12)]]) ).
cnf(refute_0_842,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),inverse(identity)) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) )],[refute_0_30,refute_0_841]) ).
cnf(refute_0_843,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),inverse(identity)),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_840,refute_0_842]) ).
cnf(refute_0_844,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),
inference(subst,[],[refute_0_234:[bind(X_14,$fot(X_12))]]) ).
cnf(refute_0_845,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))),
inference(subst,[],[refute_0_230:[bind(X_23,$fot(X_12))]]) ).
cnf(refute_0_846,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity))))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))),bind(Y0,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))))),bind(Z0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))))]]) ).
cnf(refute_0_847,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity))))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_12,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) ),[0],$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))))]]) ).
cnf(refute_0_850,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_843,refute_0_850]) ).
cnf(refute_0_852,plain,
double_divide(identity,multiply(X_12,identity)) = multiply(double_divide(identity,X_12),identity),
inference(subst,[],[refute_0_295:[bind(X,$fot(X_12)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_853,plain,
double_divide(identity,inverse(X_12)) = multiply(X_12,identity),
inference(subst,[],[refute_0_311:[bind(X_15,$fot(X_12))]]) ).
cnf(refute_0_854,plain,
double_divide(inverse(identity),inverse(X_12)) = double_divide(inverse(identity),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(X_12)))]]) ).
cnf(refute_0_855,plain,
( double_divide(inverse(identity),inverse(X_12)) != double_divide(inverse(identity),inverse(X_12))
| inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_12)) = double_divide(identity,inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_12)),double_divide(inverse(identity),inverse(X_12))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_856,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_12)) = double_divide(identity,inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_12)),double_divide(inverse(identity),inverse(X_12))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
double_divide(inverse(identity),inverse(X_12)) = double_divide(identity,inverse(X_12)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_856]) ).
cnf(refute_0_858,plain,
( double_divide(identity,inverse(X_12)) != multiply(X_12,identity)
| double_divide(inverse(identity),inverse(X_12)) != double_divide(identity,inverse(X_12))
| double_divide(inverse(identity),inverse(X_12)) = multiply(X_12,identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),inverse(X_12)))),bind(Y0,$fot(double_divide(identity,inverse(X_12)))),bind(Z0,$fot(multiply(X_12,identity)))]]) ).
cnf(refute_0_859,plain,
( double_divide(identity,inverse(X_12)) != multiply(X_12,identity)
| double_divide(inverse(identity),inverse(X_12)) = multiply(X_12,identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_12)),double_divide(identity,inverse(X_12))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
double_divide(inverse(identity),inverse(X_12)) = multiply(X_12,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_12)),multiply(X_12,identity)) )],[refute_0_853,refute_0_859]) ).
cnf(refute_0_861,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,double_divide(inverse(identity),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_12))))]]) ).
cnf(refute_0_862,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_12))) != double_divide(identity,double_divide(inverse(identity),inverse(X_12)))
| double_divide(inverse(identity),inverse(X_12)) != multiply(X_12,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_12))),double_divide(identity,double_divide(inverse(identity),inverse(X_12)))) ),[1,1],$fot(multiply(X_12,identity))]]) ).
cnf(refute_0_863,plain,
( double_divide(inverse(identity),inverse(X_12)) != multiply(X_12,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_12))),double_divide(identity,double_divide(inverse(identity),inverse(X_12)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_12)),multiply(X_12,identity)) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))))]]) ).
cnf(refute_0_866,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,double_divide(inverse(identity),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_867,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,double_divide(inverse(identity),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12)))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,double_divide(inverse(identity),inverse(X_12))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_867]) ).
cnf(refute_0_869,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_12))) != double_divide(identity,multiply(X_12,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(identity,double_divide(inverse(identity),inverse(X_12)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))))),bind(Y0,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_12))))),bind(Z0,$fot(double_divide(identity,multiply(X_12,identity))))]]) ).
cnf(refute_0_870,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_12))) != double_divide(identity,multiply(X_12,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(identity,double_divide(inverse(identity),inverse(X_12)))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = double_divide(identity,multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_12))),double_divide(identity,multiply(X_12,identity))) )],[refute_0_864,refute_0_870]) ).
cnf(refute_0_872,plain,
( double_divide(identity,multiply(X_12,identity)) != multiply(double_divide(identity,X_12),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(identity,multiply(X_12,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = multiply(double_divide(identity,X_12),identity) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))))),bind(Y0,$fot(double_divide(identity,multiply(X_12,identity)))),bind(Z0,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_873,plain,
( double_divide(identity,multiply(X_12,identity)) != multiply(double_divide(identity,X_12),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = multiply(double_divide(identity,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(identity,multiply(X_12,identity))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_12,identity)),multiply(double_divide(identity,X_12),identity)) )],[refute_0_852,refute_0_873]) ).
cnf(refute_0_875,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != multiply(double_divide(identity,X_12),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| multiply(double_divide(identity,X_12),identity) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) ),[0],$fot(multiply(double_divide(identity,X_12),identity))]]) ).
cnf(refute_0_876,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| multiply(double_divide(identity,X_12),identity) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),multiply(double_divide(identity,X_12),identity)) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
double_divide(inverse(identity),X_10) = double_divide(inverse(identity),X_10),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_10))]]) ).
cnf(refute_0_878,plain,
( double_divide(inverse(identity),X_10) != double_divide(inverse(identity),X_10)
| inverse(identity) != identity
| double_divide(inverse(identity),X_10) = double_divide(identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(inverse(identity),X_10)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_879,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),X_10) = double_divide(identity,X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(inverse(identity),X_10)) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
double_divide(inverse(identity),X_10) = double_divide(identity,X_10),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_879]) ).
cnf(refute_0_881,plain,
multiply(double_divide(inverse(identity),X_10),X_12) = multiply(double_divide(inverse(identity),X_10),X_12),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),X_10),X_12))]]) ).
cnf(refute_0_882,plain,
( multiply(double_divide(inverse(identity),X_10),X_12) != multiply(double_divide(inverse(identity),X_10),X_12)
| double_divide(inverse(identity),X_10) != double_divide(identity,X_10)
| multiply(double_divide(inverse(identity),X_10),X_12) = multiply(double_divide(identity,X_10),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),X_10),X_12),multiply(double_divide(inverse(identity),X_10),X_12)) ),[1,0],$fot(double_divide(identity,X_10))]]) ).
cnf(refute_0_883,plain,
( double_divide(inverse(identity),X_10) != double_divide(identity,X_10)
| multiply(double_divide(inverse(identity),X_10),X_12) = multiply(double_divide(identity,X_10),X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),X_10),X_12),multiply(double_divide(inverse(identity),X_10),X_12)) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
multiply(double_divide(inverse(identity),X_10),X_12) = multiply(double_divide(identity,X_10),X_12),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(identity,X_10)) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
inverse(multiply(double_divide(inverse(identity),X_10),X_12)) = inverse(multiply(double_divide(inverse(identity),X_10),X_12)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))]]) ).
cnf(refute_0_886,plain,
( multiply(double_divide(inverse(identity),X_10),X_12) != multiply(double_divide(identity,X_10),X_12)
| inverse(multiply(double_divide(inverse(identity),X_10),X_12)) != inverse(multiply(double_divide(inverse(identity),X_10),X_12))
| inverse(multiply(double_divide(inverse(identity),X_10),X_12)) = inverse(multiply(double_divide(identity,X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),X_10),X_12)),inverse(multiply(double_divide(inverse(identity),X_10),X_12))) ),[1,0],$fot(multiply(double_divide(identity,X_10),X_12))]]) ).
cnf(refute_0_887,plain,
( multiply(double_divide(inverse(identity),X_10),X_12) != multiply(double_divide(identity,X_10),X_12)
| inverse(multiply(double_divide(inverse(identity),X_10),X_12)) = inverse(multiply(double_divide(identity,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),X_10),X_12)),inverse(multiply(double_divide(inverse(identity),X_10),X_12))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
inverse(multiply(double_divide(inverse(identity),X_10),X_12)) = inverse(multiply(double_divide(identity,X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),X_10),X_12),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) = inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))))]]) ).
cnf(refute_0_890,plain,
( inverse(multiply(double_divide(inverse(identity),X_10),X_12)) != inverse(multiply(double_divide(identity,X_10),X_12))
| inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) != inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))
| inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))),inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))) ),[1,0],$fot(inverse(multiply(double_divide(identity,X_10),X_12)))]]) ).
cnf(refute_0_891,plain,
( inverse(multiply(double_divide(inverse(identity),X_10),X_12)) != inverse(multiply(double_divide(identity,X_10),X_12))
| inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))),inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),X_10),X_12)),inverse(multiply(double_divide(identity,X_10),X_12))) )],[refute_0_888,refute_0_891]) ).
cnf(refute_0_893,plain,
double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))),
inference(subst,[],[refute_0_191:[bind(X,$fot(double_divide(inverse(identity),X_10))),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_894,plain,
( double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))
| inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))))),bind(Z0,$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12)))))]]) ).
cnf(refute_0_895,plain,
( inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12)))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(inverse(identity),X_10),X_12))),inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) )],[refute_0_892,refute_0_895]) ).
cnf(refute_0_897,plain,
double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))))]]) ).
cnf(refute_0_898,plain,
( double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) ),[1,1],$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))]]) ).
cnf(refute_0_899,plain,
( double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) )],[refute_0_896,refute_0_899]) ).
cnf(refute_0_901,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| multiply(double_divide(identity,X_12),identity) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(identity,X_12),identity),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) ),[0],$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))))]]) ).
cnf(refute_0_902,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| multiply(double_divide(identity,X_12),identity) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| multiply(double_divide(identity,X_12),identity) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_876,refute_0_902]) ).
cnf(refute_0_904,plain,
multiply(double_divide(identity,X_12),identity) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_12))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_851,refute_0_903]) ).
cnf(refute_0_905,plain,
double_divide(identity,X_12) = inverse(X_12),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(X_12))]]) ).
cnf(refute_0_906,plain,
multiply(double_divide(identity,X_12),identity) = double_divide(identity,X_12),
inference(subst,[],[refute_0_641:[bind(X_59,$fot(double_divide(identity,X_12)))]]) ).
cnf(refute_0_907,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(identity,X_12)
| double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = inverse(X_12) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(double_divide(identity,X_12),identity))),bind(Y0,$fot(double_divide(identity,X_12))),bind(Z0,$fot(inverse(X_12)))]]) ).
cnf(refute_0_908,plain,
( double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(identity,X_12)) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
multiply(double_divide(identity,X_12),identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| multiply(double_divide(identity,X_12),identity) != inverse(X_12)
| inverse(X_12) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) ),[0],$fot(inverse(X_12))]]) ).
cnf(refute_0_911,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| inverse(X_12) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),inverse(X_12)) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
double_divide(identity,X_10) = inverse(X_10),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(X_10))]]) ).
cnf(refute_0_913,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(double_divide(identity,X_10),X_12),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_10),X_12))]]) ).
cnf(refute_0_914,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(double_divide(identity,X_10),X_12)
| double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_915,plain,
( double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_912,refute_0_915]) ).
cnf(refute_0_917,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(double_divide(identity,X_10),X_12),
inference(subst,[],[refute_0_587:[bind(X_59,$fot(multiply(double_divide(identity,X_10),X_12)))]]) ).
cnf(refute_0_918,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(double_divide(identity,X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))),bind(Y0,$fot(multiply(double_divide(identity,X_10),X_12))),bind(Z0,$fot(multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_919,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(inverse(X_10),X_12)) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) = double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))))]]) ).
cnf(refute_0_922,plain,
( double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) = double_divide(X_10,multiply(inverse(X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) ),[1,1],$fot(multiply(inverse(X_10),X_12))]]) ).
cnf(refute_0_923,plain,
( inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) = double_divide(X_10,multiply(inverse(X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) = double_divide(X_10,multiply(inverse(X_10),X_12)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(inverse(X_10),X_12)) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) != double_divide(X_10,multiply(inverse(X_10),X_12))
| inverse(X_12) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| inverse(X_12) = double_divide(X_10,multiply(inverse(X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_12),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) ),[1],$fot(double_divide(X_10,multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_926,plain,
( inverse(X_12) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| inverse(X_12) = double_divide(X_10,multiply(inverse(X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12)))),double_divide(X_10,multiply(inverse(X_10),X_12))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))
| inverse(X_12) = double_divide(X_10,multiply(inverse(X_10),X_12)) ),
inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) )],[refute_0_911,refute_0_926]) ).
cnf(refute_0_928,plain,
inverse(X_12) = double_divide(X_10,multiply(inverse(X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(X_10,inverse(inverse(multiply(double_divide(identity,X_10),X_12))))) )],[refute_0_904,refute_0_927]) ).
cnf(refute_0_929,plain,
inverse(X_117) = double_divide(X_101,multiply(inverse(X_101),X_117)),
inference(subst,[],[refute_0_928:[bind(X_10,$fot(X_101)),bind(X_12,$fot(X_117))]]) ).
cnf(refute_0_930,plain,
( inverse(X_117) != double_divide(X_101,multiply(inverse(X_101),X_117))
| double_divide(X_101,multiply(inverse(X_101),X_117)) = inverse(X_117) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_117))),bind(Y0,$fot(double_divide(X_101,multiply(inverse(X_101),X_117))))]]) ).
cnf(refute_0_931,plain,
double_divide(X_101,multiply(inverse(X_101),X_117)) = inverse(X_117),
inference(resolve,[$cnf( $equal(inverse(X_117),double_divide(X_101,multiply(inverse(X_101),X_117))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
( multiply(X_101,double_divide(X_101,multiply(inverse(X_101),X_117))) != inverse(multiply(inverse(X_101),X_117))
| double_divide(X_101,multiply(inverse(X_101),X_117)) != inverse(X_117)
| multiply(X_101,inverse(X_117)) = inverse(multiply(inverse(X_101),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_101,double_divide(X_101,multiply(inverse(X_101),X_117))),inverse(multiply(inverse(X_101),X_117))) ),[0,1],$fot(inverse(X_117))]]) ).
cnf(refute_0_933,plain,
( multiply(X_101,double_divide(X_101,multiply(inverse(X_101),X_117))) != inverse(multiply(inverse(X_101),X_117))
| multiply(X_101,inverse(X_117)) = inverse(multiply(inverse(X_101),X_117)) ),
inference(resolve,[$cnf( $equal(double_divide(X_101,multiply(inverse(X_101),X_117)),inverse(X_117)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(X_101,inverse(X_117)) = inverse(multiply(inverse(X_101),X_117)),
inference(resolve,[$cnf( $equal(multiply(X_101,double_divide(X_101,multiply(inverse(X_101),X_117))),inverse(multiply(inverse(X_101),X_117))) )],[refute_0_839,refute_0_933]) ).
cnf(refute_0_935,plain,
inverse(multiply(inverse(X_101),X_117)) = double_divide(X_117,inverse(X_101)),
inference(subst,[],[refute_0_758:[bind(X,$fot(inverse(X_101))),bind(Y,$fot(X_117))]]) ).
cnf(refute_0_936,plain,
( multiply(X_101,inverse(X_117)) != inverse(multiply(inverse(X_101),X_117))
| inverse(multiply(inverse(X_101),X_117)) != double_divide(X_117,inverse(X_101))
| multiply(X_101,inverse(X_117)) = double_divide(X_117,inverse(X_101)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_101,inverse(X_117)),double_divide(X_117,inverse(X_101))) ),[0],$fot(inverse(multiply(inverse(X_101),X_117)))]]) ).
cnf(refute_0_937,plain,
( multiply(X_101,inverse(X_117)) != inverse(multiply(inverse(X_101),X_117))
| multiply(X_101,inverse(X_117)) = double_divide(X_117,inverse(X_101)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_101),X_117)),double_divide(X_117,inverse(X_101))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
multiply(X_101,inverse(X_117)) = double_divide(X_117,inverse(X_101)),
inference(resolve,[$cnf( $equal(multiply(X_101,inverse(X_117)),inverse(multiply(inverse(X_101),X_117))) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(X_118,inverse(X_103)) = double_divide(X_103,inverse(X_118)),
inference(subst,[],[refute_0_938:[bind(X_101,$fot(X_118)),bind(X_117,$fot(X_103))]]) ).
cnf(refute_0_940,plain,
( multiply(X_118,inverse(X_103)) != double_divide(X_103,inverse(X_118))
| double_divide(X_103,inverse(X_118)) = multiply(X_118,inverse(X_103)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_118,inverse(X_103)))),bind(Y0,$fot(double_divide(X_103,inverse(X_118))))]]) ).
cnf(refute_0_941,plain,
double_divide(X_103,inverse(X_118)) = multiply(X_118,inverse(X_103)),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(X_103)),double_divide(X_103,inverse(X_118))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
( double_divide(X_103,inverse(X_118)) != multiply(X_118,inverse(X_103))
| double_divide(inverse(X_118),X_103) != double_divide(X_103,inverse(X_118))
| double_divide(inverse(X_118),X_103) = multiply(X_118,inverse(X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_118),X_103),double_divide(X_103,inverse(X_118))) ),[1],$fot(multiply(X_118,inverse(X_103)))]]) ).
cnf(refute_0_943,plain,
( double_divide(inverse(X_118),X_103) != double_divide(X_103,inverse(X_118))
| double_divide(inverse(X_118),X_103) = multiply(X_118,inverse(X_103)) ),
inference(resolve,[$cnf( $equal(double_divide(X_103,inverse(X_118)),multiply(X_118,inverse(X_103))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
double_divide(inverse(X_118),X_103) = multiply(X_118,inverse(X_103)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_118),X_103),double_divide(X_103,inverse(X_118))) )],[refute_0_831,refute_0_943]) ).
cnf(refute_0_945,plain,
double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),
inference(subst,[],[refute_0_944:[bind(X_103,$fot(double_divide(X_12,double_divide(X_11,X_10)))),bind(X_118,$fot(X_11))]]) ).
cnf(refute_0_946,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Y0,$fot(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))))),bind(Z0,$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_947,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_816,refute_0_947]) ).
cnf(refute_0_949,plain,
double_divide(identity,X_11) = inverse(X_11),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(X_11))]]) ).
cnf(refute_0_950,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))]]) ).
cnf(refute_0_951,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))
| double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_952,plain,
( double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(double_divide(identity,X_11),inverse(X_11)) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10)))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Y0,$fot(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Z0,$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_955,plain,
( double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10)))) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_948,refute_0_955]) ).
cnf(refute_0_957,plain,
multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_958,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) ),[1,1],$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))]]) ).
cnf(refute_0_959,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_956,refute_0_959]) ).
cnf(refute_0_961,plain,
multiply(multiply(X_110,X_111),double_divide(multiply(X_110,X_111),double_divide(X_110,X_111))) = inverse(double_divide(X_110,X_111)),
inference(subst,[],[refute_0_838:[bind(X_101,$fot(multiply(X_110,X_111))),bind(X_21,$fot(double_divide(X_110,X_111)))]]) ).
cnf(refute_0_962,plain,
multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) = inverse(identity),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_963,plain,
( multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) != inverse(identity)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(identity)) ),[0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_964,plain,
( multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) != inverse(identity)
| multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_159,refute_0_963]) ).
cnf(refute_0_965,plain,
multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(identity)) )],[refute_0_962,refute_0_964]) ).
cnf(refute_0_966,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_967,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
| multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_65,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(multiply(X,Y),double_divide(Y,X)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),inverse(identity)) )],[refute_0_965,refute_0_967]) ).
cnf(refute_0_969,plain,
double_divide(Y,X) = double_divide(X,Y),
inference(subst,[],[refute_0_830:[bind(X,$fot(Y)),bind(X_103,$fot(X))]]) ).
cnf(refute_0_970,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != identity
| double_divide(Y,X) != double_divide(X,Y)
| multiply(multiply(X,Y),double_divide(X,Y)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) ),[0,1],$fot(double_divide(X,Y))]]) ).
cnf(refute_0_971,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != identity
| multiply(multiply(X,Y),double_divide(X,Y)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(Y,X),double_divide(X,Y)) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
multiply(multiply(X,Y),double_divide(X,Y)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) )],[refute_0_968,refute_0_971]) ).
cnf(refute_0_973,plain,
multiply(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) = identity,
inference(subst,[],[refute_0_972:[bind(X,$fot(multiply(X_108,X_109))),bind(Y,$fot(double_divide(X_108,X_109)))]]) ).
cnf(refute_0_974,plain,
multiply(multiply(X_108,X_109),double_divide(X_108,X_109)) = identity,
inference(subst,[],[refute_0_972:[bind(X,$fot(X_108)),bind(Y,$fot(X_109))]]) ).
cnf(refute_0_975,plain,
( multiply(multiply(X_108,X_109),double_divide(X_108,X_109)) != identity
| multiply(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) != identity
| multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))),identity) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_976,plain,
( multiply(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) != identity
| multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),identity) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_108,X_109),double_divide(X_108,X_109)),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))),identity) )],[refute_0_973,refute_0_976]) ).
cnf(refute_0_978,plain,
multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) = double_divide(multiply(X_108,X_109),double_divide(X_108,X_109)),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))))]]) ).
cnf(refute_0_979,plain,
( multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) != double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))
| multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) != identity
| double_divide(multiply(X_108,X_109),double_divide(X_108,X_109)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))),identity) ),[0],$fot(double_divide(multiply(X_108,X_109),double_divide(X_108,X_109)))]]) ).
cnf(refute_0_980,plain,
( multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) != identity
| double_divide(multiply(X_108,X_109),double_divide(X_108,X_109)) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))),double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
double_divide(multiply(X_108,X_109),double_divide(X_108,X_109)) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(multiply(X_108,X_109),double_divide(X_108,X_109))),identity) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
double_divide(multiply(X_110,X_111),double_divide(X_110,X_111)) = identity,
inference(subst,[],[refute_0_981:[bind(X_108,$fot(X_110)),bind(X_109,$fot(X_111))]]) ).
cnf(refute_0_983,plain,
( multiply(multiply(X_110,X_111),double_divide(multiply(X_110,X_111),double_divide(X_110,X_111))) != inverse(double_divide(X_110,X_111))
| double_divide(multiply(X_110,X_111),double_divide(X_110,X_111)) != identity
| multiply(multiply(X_110,X_111),identity) = inverse(double_divide(X_110,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_110,X_111),double_divide(multiply(X_110,X_111),double_divide(X_110,X_111))),inverse(double_divide(X_110,X_111))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_984,plain,
( multiply(multiply(X_110,X_111),double_divide(multiply(X_110,X_111),double_divide(X_110,X_111))) != inverse(double_divide(X_110,X_111))
| multiply(multiply(X_110,X_111),identity) = inverse(double_divide(X_110,X_111)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_110,X_111),double_divide(X_110,X_111)),identity) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
multiply(multiply(X_110,X_111),identity) = inverse(double_divide(X_110,X_111)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_110,X_111),double_divide(multiply(X_110,X_111),double_divide(X_110,X_111))),inverse(double_divide(X_110,X_111))) )],[refute_0_961,refute_0_984]) ).
cnf(refute_0_986,plain,
multiply(identity,multiply(X_110,X_111)) = multiply(X_110,X_111),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(multiply(X_110,X_111)))]]) ).
cnf(refute_0_987,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_988,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,X),double_divide(X,Y)) )],[refute_0_969,refute_0_987]) ).
cnf(refute_0_989,plain,
multiply(X,Y) = inverse(double_divide(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_988]) ).
cnf(refute_0_990,plain,
inverse(double_divide(X,Y)) = multiply(Y,X),
inference(subst,[],[refute_0_159:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_991,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| inverse(double_divide(X,Y)) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,X)) ),[0],$fot(inverse(double_divide(X,Y)))]]) ).
cnf(refute_0_992,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,Y)),multiply(Y,X)) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(X,Y))) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_995,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
multiply(multiply(X_110,X_111),identity) = multiply(identity,multiply(X_110,X_111)),
inference(subst,[],[refute_0_995:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_110,X_111)))]]) ).
cnf(refute_0_997,plain,
( multiply(multiply(X_110,X_111),identity) != multiply(identity,multiply(X_110,X_111))
| multiply(identity,multiply(X_110,X_111)) != multiply(X_110,X_111)
| multiply(multiply(X_110,X_111),identity) = multiply(X_110,X_111) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(multiply(X_110,X_111),identity))),bind(Y0,$fot(multiply(identity,multiply(X_110,X_111)))),bind(Z0,$fot(multiply(X_110,X_111)))]]) ).
cnf(refute_0_998,plain,
( multiply(identity,multiply(X_110,X_111)) != multiply(X_110,X_111)
| multiply(multiply(X_110,X_111),identity) = multiply(X_110,X_111) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_110,X_111),identity),multiply(identity,multiply(X_110,X_111))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
multiply(multiply(X_110,X_111),identity) = multiply(X_110,X_111),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_110,X_111)),multiply(X_110,X_111)) )],[refute_0_986,refute_0_998]) ).
cnf(refute_0_1000,plain,
( multiply(multiply(X_110,X_111),identity) != multiply(X_110,X_111)
| multiply(multiply(X_110,X_111),identity) != inverse(double_divide(X_110,X_111))
| multiply(X_110,X_111) = inverse(double_divide(X_110,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_110,X_111),identity),inverse(double_divide(X_110,X_111))) ),[0],$fot(multiply(X_110,X_111))]]) ).
cnf(refute_0_1001,plain,
( multiply(multiply(X_110,X_111),identity) != inverse(double_divide(X_110,X_111))
| multiply(X_110,X_111) = inverse(double_divide(X_110,X_111)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_110,X_111),identity),multiply(X_110,X_111)) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
inverse(double_divide(X_110,X_111)) = multiply(X_111,X_110),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_111)),bind(Y,$fot(X_110))]]) ).
cnf(refute_0_1003,plain,
( multiply(X_110,X_111) != inverse(double_divide(X_110,X_111))
| inverse(double_divide(X_110,X_111)) != multiply(X_111,X_110)
| multiply(X_110,X_111) = multiply(X_111,X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_110,X_111),multiply(X_111,X_110)) ),[0],$fot(inverse(double_divide(X_110,X_111)))]]) ).
cnf(refute_0_1004,plain,
( multiply(X_110,X_111) != inverse(double_divide(X_110,X_111))
| multiply(X_110,X_111) = multiply(X_111,X_110) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_110,X_111)),multiply(X_111,X_110)) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( multiply(multiply(X_110,X_111),identity) != inverse(double_divide(X_110,X_111))
| multiply(X_110,X_111) = multiply(X_111,X_110) ),
inference(resolve,[$cnf( $equal(multiply(X_110,X_111),inverse(double_divide(X_110,X_111))) )],[refute_0_1001,refute_0_1004]) ).
cnf(refute_0_1006,plain,
multiply(X_110,X_111) = multiply(X_111,X_110),
inference(resolve,[$cnf( $equal(multiply(multiply(X_110,X_111),identity),inverse(double_divide(X_110,X_111))) )],[refute_0_985,refute_0_1005]) ).
cnf(refute_0_1007,plain,
( multiply(X_110,X_111) != multiply(X_111,X_110)
| multiply(X_111,X_110) = multiply(X_110,X_111) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_110,X_111))),bind(Y0,$fot(multiply(X_111,X_110)))]]) ).
cnf(refute_0_1008,plain,
multiply(X_111,X_110) = multiply(X_110,X_111),
inference(resolve,[$cnf( $equal(multiply(X_110,X_111),multiply(X_111,X_110)) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(subst,[],[refute_0_1008:[bind(X_110,$fot(X_10)),bind(X_111,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_1010,plain,
inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_1011,plain,
( multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10)
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y0,$fot(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10))),bind(Z0,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_1012,plain,
( multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_1009,refute_0_1012]) ).
cnf(refute_0_1014,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_1015,plain,
( double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Z0,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_1016,plain,
( inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_1013,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y0,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))),bind(Z0,$fot(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_1019,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))) )],[refute_0_960,refute_0_1019]) ).
cnf(refute_0_1021,plain,
double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))]]) ).
cnf(refute_0_1022,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) ),[1,0],$fot(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_1023,plain,
( double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))) )],[refute_0_1020,refute_0_1023]) ).
cnf(refute_0_1025,plain,
inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(subst,[],[refute_0_758:[bind(X,$fot(double_divide(Z,X_12))),bind(Y,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))]]) ).
cnf(refute_0_1026,plain,
double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),
inference(subst,[],[refute_0_580:[bind(X_59,$fot(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))]]) ).
cnf(refute_0_1027,plain,
( double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))
| inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Y0,$fot(inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1028,plain,
( inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1025,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiply(double_divide(Y,X),inverse(X_119)) = double_divide(X_119,inverse(double_divide(Y,X))),
inference(subst,[],[refute_0_938:[bind(X_101,$fot(double_divide(Y,X))),bind(X_117,$fot(X_119))]]) ).
cnf(refute_0_1031,plain,
( multiply(double_divide(Y,X),inverse(X_119)) != double_divide(X_119,inverse(double_divide(Y,X)))
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(double_divide(Y,X),inverse(X_119)) = double_divide(X_119,multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_119)),double_divide(X_119,inverse(double_divide(Y,X)))) ),[1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_1032,plain,
( multiply(double_divide(Y,X),inverse(X_119)) != double_divide(X_119,inverse(double_divide(Y,X)))
| multiply(double_divide(Y,X),inverse(X_119)) = double_divide(X_119,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_159,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiply(double_divide(Y,X),inverse(X_119)) = double_divide(X_119,multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_119)),double_divide(X_119,inverse(double_divide(Y,X)))) )],[refute_0_1030,refute_0_1032]) ).
cnf(refute_0_1034,plain,
multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) = double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),
inference(subst,[],[refute_0_1033:[bind(X,$fot(double_divide(Z,X_12))),bind(Y,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(X_119,$fot(identity))]]) ).
cnf(refute_0_1035,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) != double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))
| double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)))),bind(Y0,$fot(double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1036,plain,
( double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)),double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(Z,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1029,refute_0_1036]) ).
cnf(refute_0_1038,plain,
inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) = multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)),
inference(subst,[],[refute_0_159:[bind(X,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_1039,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))))),bind(Y0,$fot(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1040,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))),multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1037,refute_0_1040]) ).
cnf(refute_0_1042,plain,
multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) = inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))),
inference(subst,[],[refute_0_591:[bind(X_3,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))))]]) ).
cnf(refute_0_1043,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) != inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))))),bind(Y0,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1044,plain,
( inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))),inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1041,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( multiply(X_101,inverse(X_117)) != double_divide(X_117,inverse(X_101))
| double_divide(X_117,inverse(X_101)) = multiply(X_101,inverse(X_117)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_101,inverse(X_117)))),bind(Y0,$fot(double_divide(X_117,inverse(X_101))))]]) ).
cnf(refute_0_1047,plain,
double_divide(X_117,inverse(X_101)) = multiply(X_101,inverse(X_117)),
inference(resolve,[$cnf( $equal(multiply(X_101,inverse(X_117)),double_divide(X_117,inverse(X_101))) )],[refute_0_938,refute_0_1046]) ).
cnf(refute_0_1048,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))),
inference(subst,[],[refute_0_1047:[bind(X_101,$fot(identity)),bind(X_117,$fot(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))))]]) ).
cnf(refute_0_1049,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) != multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)))),bind(Y0,$fot(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))))),bind(Z0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1050,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)),multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1045,refute_0_1050]) ).
cnf(refute_0_1052,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)))),bind(Z0,$fot(double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))))]]) ).
cnf(refute_0_1053,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12)),double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))) )],[refute_0_1024,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))
| double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)),Z) ),[0],$fot(double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)))]]) ).
cnf(refute_0_1056,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)) != Z
| double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)),double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(Z,X_12)) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(Z,X_12))),inverse(identity)),Z) )],[refute_0_811,refute_0_1056]) ).
cnf(refute_0_1058,plain,
double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92)) = multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),
inference(subst,[],[refute_0_1057:[bind(Z,$fot(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))))),bind(X_10,$fot(X_143)),bind(X_11,$fot(X_144)),bind(X_12,$fot(X_92))]]) ).
cnf(refute_0_1059,plain,
( X_92 != double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92))
| double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92)) != multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92)))
| X_92 = multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_92,multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92)))) ),[0],$fot(double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92)))]]) ).
cnf(refute_0_1060,plain,
( X_92 != double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92))
| X_92 = multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92)),multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92)))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
X_92 = multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),
inference(resolve,[$cnf( $equal(X_92,double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),double_divide(multiply(X_143,multiply(X_144,multiply(double_divide(X_144,X_143),X_92))),X_92))) )],[refute_0_806,refute_0_1060]) ).
cnf(refute_0_1062,plain,
multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_146,multiply(X_147,multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146)))))),
inference(subst,[],[refute_0_1061:[bind(X_143,$fot(X_146)),bind(X_144,$fot(X_147)),bind(X_92,$fot(multiply(X_118,inverse(double_divide(X_147,X_146)))))]]) ).
cnf(refute_0_1063,plain,
multiply(X_101,double_divide(X_101,inverse(X_118))) = inverse(inverse(X_118)),
inference(subst,[],[refute_0_838:[bind(X_21,$fot(inverse(X_118)))]]) ).
cnf(refute_0_1064,plain,
multiply(X_118,inverse(X_101)) = double_divide(X_101,inverse(X_118)),
inference(subst,[],[refute_0_938:[bind(X_101,$fot(X_118)),bind(X_117,$fot(X_101))]]) ).
cnf(refute_0_1065,plain,
( multiply(X_118,inverse(X_101)) != double_divide(X_101,inverse(X_118))
| double_divide(X_101,inverse(X_118)) = multiply(X_118,inverse(X_101)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_118,inverse(X_101)))),bind(Y0,$fot(double_divide(X_101,inverse(X_118))))]]) ).
cnf(refute_0_1066,plain,
double_divide(X_101,inverse(X_118)) = multiply(X_118,inverse(X_101)),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(X_101)),double_divide(X_101,inverse(X_118))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( multiply(X_101,double_divide(X_101,inverse(X_118))) != inverse(inverse(X_118))
| double_divide(X_101,inverse(X_118)) != multiply(X_118,inverse(X_101))
| multiply(X_101,multiply(X_118,inverse(X_101))) = inverse(inverse(X_118)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_101,double_divide(X_101,inverse(X_118))),inverse(inverse(X_118))) ),[0,1],$fot(multiply(X_118,inverse(X_101)))]]) ).
cnf(refute_0_1068,plain,
( multiply(X_101,double_divide(X_101,inverse(X_118))) != inverse(inverse(X_118))
| multiply(X_101,multiply(X_118,inverse(X_101))) = inverse(inverse(X_118)) ),
inference(resolve,[$cnf( $equal(double_divide(X_101,inverse(X_118)),multiply(X_118,inverse(X_101))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
multiply(X_101,multiply(X_118,inverse(X_101))) = inverse(inverse(X_118)),
inference(resolve,[$cnf( $equal(multiply(X_101,double_divide(X_101,inverse(X_118))),inverse(inverse(X_118))) )],[refute_0_1063,refute_0_1068]) ).
cnf(refute_0_1070,plain,
inverse(inverse(X_118)) = X_118,
inference(subst,[],[refute_0_587:[bind(X_59,$fot(X_118))]]) ).
cnf(refute_0_1071,plain,
( multiply(X_101,multiply(X_118,inverse(X_101))) != inverse(inverse(X_118))
| inverse(inverse(X_118)) != X_118
| multiply(X_101,multiply(X_118,inverse(X_101))) = X_118 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_101,multiply(X_118,inverse(X_101))),X_118) ),[0],$fot(inverse(inverse(X_118)))]]) ).
cnf(refute_0_1072,plain,
( multiply(X_101,multiply(X_118,inverse(X_101))) != inverse(inverse(X_118))
| multiply(X_101,multiply(X_118,inverse(X_101))) = X_118 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_118)),X_118) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(X_101,multiply(X_118,inverse(X_101))) = X_118,
inference(resolve,[$cnf( $equal(multiply(X_101,multiply(X_118,inverse(X_101))),inverse(inverse(X_118))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146)))) = X_118,
inference(subst,[],[refute_0_1073:[bind(X_101,$fot(double_divide(X_147,X_146)))]]) ).
cnf(refute_0_1075,plain,
( multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_146,multiply(X_147,multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146))))))
| multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146)))) != X_118
| multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_146,multiply(X_147,X_118)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_146,multiply(X_147,multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146))))))) ),[1,1,1],$fot(X_118)]]) ).
cnf(refute_0_1076,plain,
( multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_146,multiply(X_147,multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146))))))
| multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_146,multiply(X_147,X_118)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146)))),X_118) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_146,multiply(X_147,X_118)),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_146,multiply(X_147,multiply(double_divide(X_147,X_146),multiply(X_118,inverse(double_divide(X_147,X_146))))))) )],[refute_0_1062,refute_0_1076]) ).
cnf(refute_0_1078,plain,
inverse(double_divide(X_147,X_146)) = multiply(X_146,X_147),
inference(subst,[],[refute_0_159:[bind(X,$fot(X_146)),bind(Y,$fot(X_147))]]) ).
cnf(refute_0_1079,plain,
multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_118,inverse(double_divide(X_147,X_146))),
introduced(tautology,[refl,[$fot(multiply(X_118,inverse(double_divide(X_147,X_146))))]]) ).
cnf(refute_0_1080,plain,
( multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_118,inverse(double_divide(X_147,X_146)))
| inverse(double_divide(X_147,X_146)) != multiply(X_146,X_147)
| multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_118,multiply(X_146,X_147)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_118,inverse(double_divide(X_147,X_146)))) ),[1,1],$fot(multiply(X_146,X_147))]]) ).
cnf(refute_0_1081,plain,
( inverse(double_divide(X_147,X_146)) != multiply(X_146,X_147)
| multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_118,multiply(X_146,X_147)) ),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_118,inverse(double_divide(X_147,X_146)))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
multiply(X_118,inverse(double_divide(X_147,X_146))) = multiply(X_118,multiply(X_146,X_147)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_147,X_146)),multiply(X_146,X_147)) )],[refute_0_1078,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_118,multiply(X_146,X_147))
| multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_146,multiply(X_147,X_118))
| multiply(X_118,multiply(X_146,X_147)) = multiply(X_146,multiply(X_147,X_118)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_146,multiply(X_147,X_118))) ),[0],$fot(multiply(X_118,multiply(X_146,X_147)))]]) ).
cnf(refute_0_1084,plain,
( multiply(X_118,inverse(double_divide(X_147,X_146))) != multiply(X_146,multiply(X_147,X_118))
| multiply(X_118,multiply(X_146,X_147)) = multiply(X_146,multiply(X_147,X_118)) ),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_118,multiply(X_146,X_147))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
multiply(X_118,multiply(X_146,X_147)) = multiply(X_146,multiply(X_147,X_118)),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(double_divide(X_147,X_146))),multiply(X_146,multiply(X_147,X_118))) )],[refute_0_1077,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( multiply(X_118,multiply(X_146,X_147)) != multiply(X_146,multiply(X_147,X_118))
| multiply(X_146,multiply(X_147,X_118)) = multiply(X_118,multiply(X_146,X_147)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_118,multiply(X_146,X_147)))),bind(Y0,$fot(multiply(X_146,multiply(X_147,X_118))))]]) ).
cnf(refute_0_1087,plain,
multiply(X_146,multiply(X_147,X_118)) = multiply(X_118,multiply(X_146,X_147)),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(X_146,X_147)),multiply(X_146,multiply(X_147,X_118))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_1087:[bind(X_118,$fot(a3)),bind(X_146,$fot(b3)),bind(X_147,$fot(c3))]]) ).
cnf(refute_0_1089,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_1087:[bind(X_118,$fot(b3)),bind(X_146,$fot(c3)),bind(X_147,$fot(a3))]]) ).
cnf(refute_0_1090,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(c3,multiply(a3,b3)))),bind(Y0,$fot(multiply(b3,multiply(c3,a3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_1091,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1088,refute_0_1091]) ).
cnf(refute_0_1093,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1094,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1094,refute_0_805]) ).
cnf(refute_0_1096,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1097,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1096,refute_0_1095]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 12:03:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57
% 0.18/0.57 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.54/0.73
%------------------------------------------------------------------------------