TSTP Solution File: GRP077-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP077-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 10:34:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 147
% Number of leaves : 247
% Syntax : Number of clauses : 905 ( 449 unt; 0 nHn; 482 RR)
% Number of literals : 1580 (1579 equ; 682 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 1599 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),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)) ) ).
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( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
identity = double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))),
inference(subst,[],[identity:[bind(X,$fot(multiply(multiply(inverse(inverse(identity)),identity),identity)))]]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(X,identity),double_divide(Y,Z)) = double_divide(double_divide(X,identity),double_divide(Y,Z)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,identity),double_divide(Y,Z)))]]) ).
cnf(refute_0_18,plain,
( double_divide(X,identity) != inverse(X)
| double_divide(double_divide(X,identity),double_divide(Y,Z)) != double_divide(double_divide(X,identity),double_divide(Y,Z))
| double_divide(double_divide(X,identity),double_divide(Y,Z)) = double_divide(inverse(X),double_divide(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,identity),double_divide(Y,Z)),double_divide(double_divide(X,identity),double_divide(Y,Z))) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_19,plain,
( double_divide(X,identity) != inverse(X)
| double_divide(double_divide(X,identity),double_divide(Y,Z)) = double_divide(inverse(X),double_divide(Y,Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,identity),double_divide(Y,Z)),double_divide(double_divide(X,identity),double_divide(Y,Z))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(X,identity),double_divide(Y,Z)) = double_divide(inverse(X),double_divide(Y,Z)),
inference(resolve,[$cnf( $equal(double_divide(X,identity),inverse(X)) )],[refute_0_4,refute_0_19]) ).
cnf(refute_0_21,plain,
double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) = double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(X,identity),double_divide(Y,Z)) != double_divide(inverse(X),double_divide(Y,Z))
| double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) != double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z)))
| double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) = double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z)))) ),[1,1],$fot(double_divide(inverse(X),double_divide(Y,Z)))]]) ).
cnf(refute_0_23,plain,
( double_divide(double_divide(X,identity),double_divide(Y,Z)) != double_divide(inverse(X),double_divide(Y,Z))
| double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) = double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) = double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,identity),double_divide(Y,Z)),double_divide(inverse(X),double_divide(Y,Z))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) = double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))]]) ).
cnf(refute_0_26,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) != double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)
| double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) != double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))
| double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) = double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) ),[1,0],$fot(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))]]) ).
cnf(refute_0_27,plain,
( double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))) != double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))
| double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) = double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) = double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) = inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)),
introduced(tautology,[refl,[$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)))]]) ).
cnf(refute_0_30,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) != double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)
| inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) != inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))
| inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)),inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))) ),[1,0],$fot(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))]]) ).
cnf(refute_0_31,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y) != double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)
| inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)),inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) = inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)))]]) ).
cnf(refute_0_34,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_35,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_34]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) != inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))
| inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) != inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))
| double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)))),bind(Z0,$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))))]]) ).
cnf(refute_0_37,plain,
( inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)) != inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))
| double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity),inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) = inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y)),inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) )],[refute_0_32,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) = double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),
introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)))]]) ).
cnf(refute_0_40,plain,
( double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) != double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity))
| double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))
| double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) = double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity))) ),[1,1],$fot(inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))]]) ).
cnf(refute_0_41,plain,
( double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity) != inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))
| double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) = double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) ),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) = double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity),inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
( double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) != Z
| double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) != double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))
| double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),Z) ),[0],$fot(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))))]]) ).
cnf(refute_0_44,plain,
( double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)) != Z
| double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = Z ),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = Z,
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X,identity),double_divide(Y,Z))),Y),identity)),Z) )],[single_axiom,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_47,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_46]) ).
cnf(refute_0_48,plain,
inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) = multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))),
inference(subst,[],[refute_0_47:[bind(X,$fot(Y)),bind(Y,$fot(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))))]]) ).
cnf(refute_0_49,plain,
double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),
introduced(tautology,[refl,[$fot(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))))]]) ).
cnf(refute_0_50,plain,
( double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) != double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))
| inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) != multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))
| double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))) ),[1,1],$fot(multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))))]]) ).
cnf(refute_0_51,plain,
( inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)) != multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))
| double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) ),
inference(resolve,[$cnf( $equal(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) = double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y)),multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) != Z
| double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) != double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),Z) ),[0],$fot(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))))]]) ).
cnf(refute_0_54,plain,
( double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))) != Z
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) = Z ),
inference(resolve,[$cnf( $equal(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z)))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))))) = Z,
inference(resolve,[$cnf( $equal(double_divide(X,inverse(double_divide(double_divide(identity,double_divide(inverse(X),double_divide(Y,Z))),Y))),Z) )],[refute_0_45,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = X_12,
inference(subst,[],[refute_0_55:[bind(X,$fot(X_10)),bind(Y,$fot(identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_57,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_58,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_59,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_60,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_62,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))]]) ).
cnf(refute_0_65,plain,
( multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) != inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))
| double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != X_12
| double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),X_12) ),[0,1],$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))]]) ).
cnf(refute_0_66,plain,
( double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != X_12
| double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))),inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(identity,double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),X_12) )],[refute_0_56,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) = multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(inverse(X_10),double_divide(identity,X_12)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_69,plain,
inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))]]) ).
cnf(refute_0_70,plain,
( inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) != multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)
| inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))
| inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) ),[1,0],$fot(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))]]) ).
cnf(refute_0_71,plain,
( inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))) != multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)
| inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) = inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))),multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),
introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))))]]) ).
cnf(refute_0_74,plain,
( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))
| inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))
| double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))) ),[1,1],$fot(inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))]]) ).
cnf(refute_0_75,plain,
( inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))) != inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))
| double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12))))),inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != X_12
| double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),X_12) ),[0],$fot(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))))]]) ).
cnf(refute_0_78,plain,
( double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))) != X_12
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity)))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,X_12)),identity))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(inverse(double_divide(identity,double_divide(inverse(X_10),double_divide(identity,X_12)))))),X_12) )],[refute_0_67,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),double_divide(identity,multiply(inverse(identity),identity))),identity))) = multiply(inverse(identity),identity),
inference(subst,[],[refute_0_79:[bind(X_10,$fot(X_17)),bind(X_12,$fot(multiply(inverse(identity),identity)))]]) ).
cnf(refute_0_81,plain,
double_divide(X,multiply(inverse(X),double_divide(identity,double_divide(inverse(X),double_divide(inverse(X),inverse(identity)))))) = inverse(identity),
inference(subst,[],[refute_0_55:[bind(Y,$fot(inverse(X))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_82,plain,
double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))) = inverse(X_11),
inference(subst,[],[refute_0_55:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_83,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_84,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_85,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))) != inverse(X_11)
| double_divide(X_11,inverse(X_11)) != identity
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))),inverse(X_11)) ),[0,1,1,1,1],$fot(identity)]]) ).
cnf(refute_0_87,plain,
( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))) != inverse(X_11)
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),double_divide(X_11,inverse(X_11)))))),inverse(X_11)) )],[refute_0_82,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(inverse(X_10),identity) = inverse(inverse(X_10)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_90,plain,
double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,double_divide(inverse(X_10),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_91,plain,
( double_divide(identity,double_divide(inverse(X_10),identity)) != double_divide(identity,double_divide(inverse(X_10),identity))
| double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_10),identity)),double_divide(identity,double_divide(inverse(X_10),identity))) ),[1,1],$fot(inverse(inverse(X_10)))]]) ).
cnf(refute_0_92,plain,
( double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_10),identity)),double_divide(identity,double_divide(inverse(X_10),identity))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(identity,double_divide(inverse(X_10),identity)) = double_divide(identity,inverse(inverse(X_10))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),identity),inverse(inverse(X_10))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) = multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))))]]) ).
cnf(refute_0_95,plain,
( multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) != multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))
| double_divide(identity,double_divide(inverse(X_10),identity)) != double_divide(identity,inverse(inverse(X_10)))
| multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) = multiply(X_11,double_divide(identity,inverse(inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))),multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) ),[1,1],$fot(double_divide(identity,inverse(inverse(X_10))))]]) ).
cnf(refute_0_96,plain,
( double_divide(identity,double_divide(inverse(X_10),identity)) != double_divide(identity,inverse(inverse(X_10)))
| multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) = multiply(X_11,double_divide(identity,inverse(inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))),multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) = multiply(X_11,double_divide(identity,inverse(inverse(X_10)))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_10),identity)),double_divide(identity,inverse(inverse(X_10)))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))))]]) ).
cnf(refute_0_99,plain,
( multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) != multiply(X_11,double_divide(identity,inverse(inverse(X_10))))
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) != double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))))
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))))) ),[1,1],$fot(multiply(X_11,double_divide(identity,inverse(inverse(X_10)))))]]) ).
cnf(refute_0_100,plain,
( multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))) != multiply(X_11,double_divide(identity,inverse(inverse(X_10))))
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) = double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity))),multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) != double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10)))))
| double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) != inverse(X_11)
| double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),inverse(X_11)) ),[0],$fot(double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))))]]) ).
cnf(refute_0_103,plain,
( double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))) != inverse(X_11)
| double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10)))))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(X_10,multiply(X_11,double_divide(identity,inverse(inverse(X_10))))) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(X_11,double_divide(identity,double_divide(inverse(X_10),identity)))),inverse(X_11)) )],[refute_0_88,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) = inverse(identity),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(X_13)),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_106,plain,
multiply(identity,double_divide(identity,inverse(inverse(X_13)))) = inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(double_divide(identity,inverse(inverse(X_13)))))]]) ).
cnf(refute_0_107,plain,
( multiply(identity,double_divide(identity,inverse(inverse(X_13)))) != inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))
| double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) != inverse(identity)
| double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))),inverse(identity)) ),[0,1],$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))]]) ).
cnf(refute_0_108,plain,
( double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))) != inverse(identity)
| double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(inverse(X_13)))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(X_13,multiply(identity,double_divide(identity,inverse(inverse(X_13))))),inverse(identity)) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(X_13)),bind(X_11,$fot(multiply(inverse(inverse(X_13)),identity)))]]) ).
cnf(refute_0_111,plain,
multiply(inverse(double_divide(Y,X)),double_divide(Y,X)) = inverse(identity),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_112,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_113,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( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(multiply(X,Y),double_divide(Y,X)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(Y,X)),double_divide(Y,X)),inverse(identity)) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))) = inverse(identity),
inference(subst,[],[refute_0_114:[bind(X,$fot(inverse(inverse(X_13)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_116,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))) != inverse(identity)
| double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
| double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) ),[0,1],$fot(inverse(identity))]]) ).
cnf(refute_0_117,plain,
( double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
| double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13)))),inverse(identity)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(X_13,inverse(identity)) = inverse(multiply(inverse(inverse(X_13)),identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_110,refute_0_117]) ).
cnf(refute_0_119,plain,
( double_divide(X_13,inverse(identity)) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(multiply(inverse(inverse(X_13)),identity)) = double_divide(X_13,inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_13,inverse(identity)))),bind(Y0,$fot(inverse(multiply(inverse(inverse(X_13)),identity))))]]) ).
cnf(refute_0_120,plain,
inverse(multiply(inverse(inverse(X_13)),identity)) = double_divide(X_13,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(double_divide(identity,inverse(inverse(X_13)))) = multiply(inverse(inverse(X_13)),identity),
inference(subst,[],[refute_0_47:[bind(X,$fot(inverse(inverse(X_13)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_122,plain,
inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))]]) ).
cnf(refute_0_123,plain,
( inverse(double_divide(identity,inverse(inverse(X_13)))) != multiply(inverse(inverse(X_13)),identity)
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) ),[1,0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).
cnf(refute_0_124,plain,
( inverse(double_divide(identity,inverse(inverse(X_13)))) != multiply(inverse(inverse(X_13)),identity)
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = inverse(multiply(inverse(inverse(X_13)),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_13)))),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))),bind(Y0,$fot(inverse(multiply(inverse(inverse(X_13)),identity)))),bind(Z0,$fot(double_divide(X_13,inverse(identity))))]]) ).
cnf(refute_0_127,plain,
( inverse(multiply(inverse(inverse(X_13)),identity)) != double_divide(X_13,inverse(identity))
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) = double_divide(X_13,inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),double_divide(X_13,inverse(identity))) )],[refute_0_120,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),
introduced(tautology,[refl,[$fot(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))))]]) ).
cnf(refute_0_130,plain,
( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))
| inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != double_divide(X_13,inverse(identity))
| double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))) ),[1,1],$fot(double_divide(X_13,inverse(identity)))]]) ).
cnf(refute_0_131,plain,
( inverse(inverse(double_divide(identity,inverse(inverse(X_13))))) != double_divide(X_13,inverse(identity))
| double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13))))))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) = double_divide(X_13,double_divide(X_13,inverse(identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(X_13))))),double_divide(X_13,inverse(identity))) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != double_divide(X_13,double_divide(X_13,inverse(identity)))
| double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != inverse(identity)
| double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),inverse(identity)) ),[0],$fot(double_divide(X_13,double_divide(X_13,inverse(identity))))]]) ).
cnf(refute_0_134,plain,
( double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))) != inverse(identity)
| double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),double_divide(X_13,double_divide(X_13,inverse(identity)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(X_13,double_divide(X_13,inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(inverse(double_divide(identity,inverse(inverse(X_13)))))),inverse(identity)) )],[refute_0_109,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(inverse(X),double_divide(inverse(X),inverse(identity))) = inverse(identity),
inference(subst,[],[refute_0_135:[bind(X_13,$fot(inverse(X)))]]) ).
cnf(refute_0_137,plain,
( double_divide(X,multiply(inverse(X),double_divide(identity,double_divide(inverse(X),double_divide(inverse(X),inverse(identity)))))) != inverse(identity)
| double_divide(inverse(X),double_divide(inverse(X),inverse(identity))) != inverse(identity)
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,double_divide(inverse(X),double_divide(inverse(X),inverse(identity)))))),inverse(identity)) ),[0,1,1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_138,plain,
( double_divide(X,multiply(inverse(X),double_divide(identity,double_divide(inverse(X),double_divide(inverse(X),inverse(identity)))))) != inverse(identity)
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X),double_divide(inverse(X),inverse(identity))),inverse(identity)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,double_divide(inverse(X),double_divide(inverse(X),inverse(identity)))))),inverse(identity)) )],[refute_0_81,refute_0_138]) ).
cnf(refute_0_140,plain,
( identity != double_divide(X,inverse(X))
| double_divide(X,inverse(X)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X,inverse(X))))]]) ).
cnf(refute_0_141,plain,
double_divide(X,inverse(X)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X,inverse(X))) )],[identity,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(identity,inverse(identity)) = identity,
inference(subst,[],[refute_0_141:[bind(X,$fot(identity))]]) ).
cnf(refute_0_143,plain,
multiply(inverse(X),double_divide(identity,inverse(identity))) = multiply(inverse(X),double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(multiply(inverse(X),double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_144,plain,
( multiply(inverse(X),double_divide(identity,inverse(identity))) != multiply(inverse(X),double_divide(identity,inverse(identity)))
| double_divide(identity,inverse(identity)) != identity
| multiply(inverse(X),double_divide(identity,inverse(identity))) = multiply(inverse(X),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),double_divide(identity,inverse(identity))),multiply(inverse(X),double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_145,plain,
( double_divide(identity,inverse(identity)) != identity
| multiply(inverse(X),double_divide(identity,inverse(identity))) = multiply(inverse(X),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),double_divide(identity,inverse(identity))),multiply(inverse(X),double_divide(identity,inverse(identity)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(X),double_divide(identity,inverse(identity))) = multiply(inverse(X),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),
introduced(tautology,[refl,[$fot(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(X),double_divide(identity,inverse(identity))) != multiply(inverse(X),identity)
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) != double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity))))
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = double_divide(X,multiply(inverse(X),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity))))) ),[1,1],$fot(multiply(inverse(X),identity))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(X),double_divide(identity,inverse(identity))) != multiply(inverse(X),identity)
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = double_divide(X,multiply(inverse(X),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity))))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) = double_divide(X,multiply(inverse(X),identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),double_divide(identity,inverse(identity))),multiply(inverse(X),identity)) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
( double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) != double_divide(X,multiply(inverse(X),identity))
| double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) != inverse(identity)
| double_divide(X,multiply(inverse(X),identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),inverse(identity)) ),[0],$fot(double_divide(X,multiply(inverse(X),identity)))]]) ).
cnf(refute_0_152,plain,
( double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))) != inverse(identity)
| double_divide(X,multiply(inverse(X),identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),double_divide(X,multiply(inverse(X),identity))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(X,multiply(inverse(X),identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(inverse(X),double_divide(identity,inverse(identity)))),inverse(identity)) )],[refute_0_139,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(identity,multiply(inverse(identity),identity)) = inverse(identity),
inference(subst,[],[refute_0_153:[bind(X,$fot(identity))]]) ).
cnf(refute_0_155,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),double_divide(identity,multiply(inverse(identity),identity))),identity))) != multiply(inverse(identity),identity)
| double_divide(identity,multiply(inverse(identity),identity)) != inverse(identity)
| double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),double_divide(identity,multiply(inverse(identity),identity))),identity))),multiply(inverse(identity),identity)) ),[0,1,0,0,1],$fot(inverse(identity))]]) ).
cnf(refute_0_156,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),double_divide(identity,multiply(inverse(identity),identity))),identity))) != multiply(inverse(identity),identity)
| double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = multiply(inverse(identity),identity),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),double_divide(identity,multiply(inverse(identity),identity))),identity))),multiply(inverse(identity),identity)) )],[refute_0_80,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(inverse(Y),identity)))))) = multiply(inverse(Y),identity),
inference(subst,[],[refute_0_55:[bind(Z,$fot(multiply(inverse(Y),identity)))]]) ).
cnf(refute_0_159,plain,
double_divide(Y,multiply(inverse(Y),identity)) = inverse(identity),
inference(subst,[],[refute_0_153:[bind(X,$fot(Y))]]) ).
cnf(refute_0_160,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(inverse(Y),identity)))))) != multiply(inverse(Y),identity)
| double_divide(Y,multiply(inverse(Y),identity)) != inverse(identity)
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = multiply(inverse(Y),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(inverse(Y),identity)))))),multiply(inverse(Y),identity)) ),[0,1,1,1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_161,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(inverse(Y),identity)))))) != multiply(inverse(Y),identity)
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = multiply(inverse(Y),identity) ),
inference(resolve,[$cnf( $equal(double_divide(Y,multiply(inverse(Y),identity)),inverse(identity)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = multiply(inverse(Y),identity),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(inverse(Y),identity)))))),multiply(inverse(Y),identity)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
inverse(multiply(inverse(inverse(Y)),identity)) = double_divide(Y,inverse(identity)),
inference(subst,[],[refute_0_120:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_164,plain,
inverse(double_divide(identity,inverse(inverse(Y)))) = multiply(inverse(inverse(Y)),identity),
inference(subst,[],[refute_0_47:[bind(X,$fot(inverse(inverse(Y)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_165,plain,
inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = inverse(inverse(double_divide(identity,inverse(inverse(Y))))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,inverse(inverse(Y))))))]]) ).
cnf(refute_0_166,plain,
( inverse(double_divide(identity,inverse(inverse(Y)))) != multiply(inverse(inverse(Y)),identity)
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) != inverse(inverse(double_divide(identity,inverse(inverse(Y)))))
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = inverse(multiply(inverse(inverse(Y)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(Y))))),inverse(inverse(double_divide(identity,inverse(inverse(Y)))))) ),[1,0],$fot(multiply(inverse(inverse(Y)),identity))]]) ).
cnf(refute_0_167,plain,
( inverse(double_divide(identity,inverse(inverse(Y)))) != multiply(inverse(inverse(Y)),identity)
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = inverse(multiply(inverse(inverse(Y)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(Y))))),inverse(inverse(double_divide(identity,inverse(inverse(Y)))))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = inverse(multiply(inverse(inverse(Y)),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(Y)))),multiply(inverse(inverse(Y)),identity)) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( inverse(multiply(inverse(inverse(Y)),identity)) != double_divide(Y,inverse(identity))
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) != inverse(multiply(inverse(inverse(Y)),identity))
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = double_divide(Y,inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(inverse(double_divide(identity,inverse(inverse(Y))))))),bind(Y0,$fot(inverse(multiply(inverse(inverse(Y)),identity)))),bind(Z0,$fot(double_divide(Y,inverse(identity))))]]) ).
cnf(refute_0_170,plain,
( inverse(multiply(inverse(inverse(Y)),identity)) != double_divide(Y,inverse(identity))
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = double_divide(Y,inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(Y))))),inverse(multiply(inverse(inverse(Y)),identity))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(inverse(double_divide(identity,inverse(inverse(Y))))) = double_divide(Y,inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(Y)),identity)),double_divide(Y,inverse(identity))) )],[refute_0_163,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(identity,double_divide(identity,inverse(inverse(Y)))) = inverse(inverse(double_divide(identity,inverse(inverse(Y))))),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(double_divide(identity,inverse(inverse(Y)))))]]) ).
cnf(refute_0_173,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))))) = multiply(X_14,double_divide(identity,inverse(inverse(Y)))),
inference(subst,[],[refute_0_55:[bind(Z,$fot(multiply(X_14,double_divide(identity,inverse(inverse(Y))))))]]) ).
cnf(refute_0_174,plain,
double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))) = inverse(X_14),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_175,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))))) != multiply(X_14,double_divide(identity,inverse(inverse(Y))))
| double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))) != inverse(X_14)
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))))),multiply(X_14,double_divide(identity,inverse(inverse(Y))))) ),[0,1,1,1,1],$fot(inverse(X_14))]]) ).
cnf(refute_0_176,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))))) != multiply(X_14,double_divide(identity,inverse(inverse(Y))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(Y)))) ),
inference(resolve,[$cnf( $equal(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))),inverse(X_14)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(X_14))))) = multiply(X_14,double_divide(identity,inverse(inverse(Y)))),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))))),multiply(X_14,double_divide(identity,inverse(inverse(Y))))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = multiply(identity,double_divide(identity,inverse(inverse(Y)))),
inference(subst,[],[refute_0_177:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_179,plain,
( multiply(identity,double_divide(identity,inverse(inverse(Y)))) != inverse(inverse(double_divide(identity,inverse(inverse(Y)))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) != multiply(identity,double_divide(identity,inverse(inverse(Y))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = inverse(inverse(double_divide(identity,inverse(inverse(Y))))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))))),bind(Y0,$fot(multiply(identity,double_divide(identity,inverse(inverse(Y)))))),bind(Z0,$fot(inverse(inverse(double_divide(identity,inverse(inverse(Y)))))))]]) ).
cnf(refute_0_180,plain,
( multiply(identity,double_divide(identity,inverse(inverse(Y)))) != inverse(inverse(double_divide(identity,inverse(inverse(Y)))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = inverse(inverse(double_divide(identity,inverse(inverse(Y))))) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))),multiply(identity,double_divide(identity,inverse(inverse(Y))))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = inverse(inverse(double_divide(identity,inverse(inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(inverse(Y)))),inverse(inverse(double_divide(identity,inverse(inverse(Y)))))) )],[refute_0_172,refute_0_180]) ).
cnf(refute_0_182,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) != inverse(inverse(double_divide(identity,inverse(inverse(Y)))))
| inverse(inverse(double_divide(identity,inverse(inverse(Y))))) != double_divide(Y,inverse(identity))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = double_divide(Y,inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))))),bind(Y0,$fot(inverse(inverse(double_divide(identity,inverse(inverse(Y))))))),bind(Z0,$fot(double_divide(Y,inverse(identity))))]]) ).
cnf(refute_0_183,plain,
( inverse(inverse(double_divide(identity,inverse(inverse(Y))))) != double_divide(Y,inverse(identity))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = double_divide(Y,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))),inverse(inverse(double_divide(identity,inverse(inverse(Y)))))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) = double_divide(Y,inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(inverse(Y))))),double_divide(Y,inverse(identity))) )],[refute_0_171,refute_0_183]) ).
cnf(refute_0_185,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) != multiply(inverse(Y),identity)
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) != double_divide(Y,inverse(identity))
| double_divide(Y,inverse(identity)) = multiply(inverse(Y),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))),multiply(inverse(Y),identity)) ),[0],$fot(double_divide(Y,inverse(identity)))]]) ).
cnf(refute_0_186,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))) != multiply(inverse(Y),identity)
| double_divide(Y,inverse(identity)) = multiply(inverse(Y),identity) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))),double_divide(Y,inverse(identity))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
double_divide(Y,inverse(identity)) = multiply(inverse(Y),identity),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),inverse(identity))))),multiply(inverse(Y),identity)) )],[refute_0_162,refute_0_186]) ).
cnf(refute_0_188,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(inverse(inverse(identity)),identity),
inference(subst,[],[refute_0_187:[bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_189,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_190,plain,
double_divide(identity,inverse(identity)) = multiply(inverse(identity),identity),
inference(subst,[],[refute_0_187:[bind(Y,$fot(identity))]]) ).
cnf(refute_0_191,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| double_divide(identity,inverse(identity)) != multiply(inverse(identity),identity)
| double_divide(identity,inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,inverse(identity)))),bind(Y0,$fot(multiply(inverse(identity),identity))),bind(Z0,$fot(inverse(identity)))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| double_divide(identity,inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),multiply(inverse(identity),identity)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(inverse(identity),double_divide(identity,inverse(identity))) = double_divide(inverse(identity),double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_195,plain,
( double_divide(identity,inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) != double_divide(inverse(identity),double_divide(identity,inverse(identity)))
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) = double_divide(inverse(identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(identity))),double_divide(inverse(identity),double_divide(identity,inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_196,plain,
( double_divide(identity,inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) = double_divide(inverse(identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(identity))),double_divide(inverse(identity),double_divide(identity,inverse(identity)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(identity),double_divide(identity,inverse(identity))) = double_divide(inverse(identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),inverse(identity)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( double_divide(inverse(identity),double_divide(identity,inverse(identity))) != double_divide(inverse(identity),inverse(identity))
| double_divide(inverse(identity),inverse(identity)) != multiply(inverse(inverse(identity)),identity)
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) = multiply(inverse(inverse(identity)),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(identity),double_divide(identity,inverse(identity))))),bind(Y0,$fot(double_divide(inverse(identity),inverse(identity)))),bind(Z0,$fot(multiply(inverse(inverse(identity)),identity)))]]) ).
cnf(refute_0_199,plain,
( double_divide(inverse(identity),inverse(identity)) != multiply(inverse(inverse(identity)),identity)
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) = multiply(inverse(inverse(identity)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(identity))),double_divide(inverse(identity),inverse(identity))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
double_divide(inverse(identity),double_divide(identity,inverse(identity))) = multiply(inverse(inverse(identity)),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),multiply(inverse(inverse(identity)),identity)) )],[refute_0_188,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) = multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))]]) ).
cnf(refute_0_202,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) != multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)
| double_divide(inverse(identity),double_divide(identity,inverse(identity))) != multiply(inverse(inverse(identity)),identity)
| multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) = multiply(multiply(inverse(inverse(identity)),identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity),multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) ),[1,0],$fot(multiply(inverse(inverse(identity)),identity))]]) ).
cnf(refute_0_203,plain,
( double_divide(inverse(identity),double_divide(identity,inverse(identity))) != multiply(inverse(inverse(identity)),identity)
| multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) = multiply(multiply(inverse(inverse(identity)),identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity),multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) = multiply(multiply(inverse(inverse(identity)),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,inverse(identity))),multiply(inverse(inverse(identity)),identity)) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)))]]) ).
cnf(refute_0_206,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) != multiply(multiply(inverse(inverse(identity)),identity),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))) ),[1,0],$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))]]) ).
cnf(refute_0_207,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity) != multiply(multiply(inverse(inverse(identity)),identity),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity),multiply(multiply(inverse(inverse(identity)),identity),identity)) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),
inference(subst,[],[refute_0_79:[bind(X_12,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))))]]) ).
cnf(refute_0_210,plain,
double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) = X_18,
inference(subst,[],[refute_0_79:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_18))]]) ).
cnf(refute_0_211,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))
| double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) != X_18
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) ),[0,1,0,0,1],$fot(X_18)]]) ).
cnf(refute_0_212,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))),X_18) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),double_divide(identity,inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)),
inference(subst,[],[refute_0_213:[bind(X_10,$fot(X_17)),bind(X_18,$fot(inverse(identity)))]]) ).
cnf(refute_0_215,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) != inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))
| double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))))),bind(Y0,$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)))),bind(Z0,$fot(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))))]]) ).
cnf(refute_0_216,plain,
( inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)) != inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))
| double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) = inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,inverse(identity))),identity)),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))) )],[refute_0_208,refute_0_216]) ).
cnf(refute_0_218,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) != multiply(inverse(identity),identity)
| double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) != inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))),multiply(inverse(identity),identity)) ),[0],$fot(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))]]) ).
cnf(refute_0_219,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) != multiply(inverse(identity),identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != multiply(inverse(identity),identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),multiply(inverse(identity),identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_221,plain,
( inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != multiply(inverse(identity),identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_189,refute_0_220]) ).
cnf(refute_0_222,plain,
( double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))) != multiply(inverse(identity),identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),multiply(inverse(identity),identity)) )],[refute_0_219,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(multiply(double_divide(inverse(X_17),inverse(identity)),identity))),multiply(inverse(identity),identity)) )],[refute_0_157,refute_0_222]) ).
cnf(refute_0_224,plain,
( identity != double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != inverse(identity)
| identity = double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_225,plain,
( identity != double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))
| identity = double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),inverse(identity)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
identity = double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)),
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))) )],[refute_0_16,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity))]]) ).
cnf(refute_0_228,plain,
( multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) != multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != inverse(identity)
| multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity)) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_229,plain,
( inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != inverse(identity)
| multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = multiply(inverse(identity),identity),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),inverse(identity)) )],[refute_0_223,refute_0_229]) ).
cnf(refute_0_231,plain,
( multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) != multiply(inverse(identity),identity)
| multiply(inverse(identity),identity) != inverse(identity)
| multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = inverse(identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity))),bind(Y0,$fot(multiply(inverse(identity),identity))),bind(Z0,$fot(inverse(identity)))]]) ).
cnf(refute_0_232,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),multiply(inverse(identity),identity)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_189,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) = multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),
inference(subst,[],[refute_0_187:[bind(Y,$fot(multiply(multiply(inverse(inverse(identity)),identity),identity)))]]) ).
cnf(refute_0_235,plain,
( multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) != inverse(identity)
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) != multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity)
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)))),bind(Y0,$fot(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity))),bind(Z0,$fot(inverse(identity)))]]) ).
cnf(refute_0_236,plain,
( multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity) != inverse(identity)
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)),multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),identity),inverse(identity)) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)) != inverse(identity)
| identity != double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity))
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity))) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_239,plain,
( identity != double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity))
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity)),inverse(identity)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),inverse(identity))) )],[refute_0_226,refute_0_239]) ).
cnf(refute_0_241,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_242,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_244,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(inverse(a1),a1) = identity,
inference(subst,[],[refute_0_245:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_247,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_248,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_248,prove_these_axioms]) ).
cnf(refute_0_250,plain,
multiply(identity,a2) = inverse(inverse(a2)),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_251,plain,
( multiply(identity,a2) != inverse(inverse(a2))
| inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).
cnf(refute_0_252,plain,
( inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),inverse(inverse(a2))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| identity != identity
| inverse(inverse(a2)) != a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_252,refute_0_249]) ).
cnf(refute_0_254,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_255,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2 ),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_254,refute_0_253]) ).
cnf(refute_0_256,plain,
double_divide(double_divide(Y,X),inverse(multiply(double_divide(inverse(double_divide(Y,X)),double_divide(identity,X_18)),identity))) = X_18,
inference(subst,[],[refute_0_79:[bind(X_10,$fot(double_divide(Y,X))),bind(X_12,$fot(X_18))]]) ).
cnf(refute_0_257,plain,
( double_divide(double_divide(Y,X),inverse(multiply(double_divide(inverse(double_divide(Y,X)),double_divide(identity,X_18)),identity))) != X_18
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(inverse(double_divide(Y,X)),double_divide(identity,X_18)),identity))),X_18) ),[0,1,0,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_258,plain,
( double_divide(double_divide(Y,X),inverse(multiply(double_divide(inverse(double_divide(Y,X)),double_divide(identity,X_18)),identity))) != X_18
| double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_257]) ).
cnf(refute_0_259,plain,
double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(inverse(double_divide(Y,X)),double_divide(identity,X_18)),identity))),X_18) )],[refute_0_256,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(X_13,inverse(identity)) = multiply(inverse(X_13),identity),
inference(subst,[],[refute_0_187:[bind(Y,$fot(X_13))]]) ).
cnf(refute_0_261,plain,
( double_divide(X_13,inverse(identity)) != multiply(inverse(X_13),identity)
| double_divide(X_13,inverse(identity)) != inverse(multiply(inverse(inverse(X_13)),identity))
| multiply(inverse(X_13),identity) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,inverse(identity)),inverse(multiply(inverse(inverse(X_13)),identity))) ),[0],$fot(multiply(inverse(X_13),identity))]]) ).
cnf(refute_0_262,plain,
( double_divide(X_13,inverse(identity)) != inverse(multiply(inverse(inverse(X_13)),identity))
| multiply(inverse(X_13),identity) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),multiply(inverse(X_13),identity)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(inverse(X_13),identity) = inverse(multiply(inverse(inverse(X_13)),identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(identity)),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_118,refute_0_262]) ).
cnf(refute_0_264,plain,
double_divide(Y,identity) = inverse(Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_265,plain,
double_divide(Y,inverse(identity)) = double_divide(Y,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(Y,inverse(identity)))]]) ).
cnf(refute_0_266,plain,
( double_divide(Y,inverse(identity)) != double_divide(Y,inverse(identity))
| inverse(identity) != identity
| double_divide(Y,inverse(identity)) = double_divide(Y,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(Y,inverse(identity)),double_divide(Y,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_267,plain,
( inverse(identity) != identity
| double_divide(Y,inverse(identity)) = double_divide(Y,identity) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),double_divide(Y,inverse(identity))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
double_divide(Y,inverse(identity)) = double_divide(Y,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_267]) ).
cnf(refute_0_269,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Y,inverse(identity)) != double_divide(Y,identity)
| double_divide(Y,inverse(identity)) = inverse(Y) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(Y,inverse(identity)))),bind(Y0,$fot(double_divide(Y,identity))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_270,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Y,inverse(identity)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),double_divide(Y,identity)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(Y,inverse(identity)) = inverse(Y),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_264,refute_0_270]) ).
cnf(refute_0_272,plain,
( double_divide(Y,inverse(identity)) != multiply(inverse(Y),identity)
| double_divide(Y,inverse(identity)) != inverse(Y)
| inverse(Y) = multiply(inverse(Y),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(Y,inverse(identity)),multiply(inverse(Y),identity)) ),[0],$fot(inverse(Y))]]) ).
cnf(refute_0_273,plain,
( double_divide(Y,inverse(identity)) != multiply(inverse(Y),identity)
| inverse(Y) = multiply(inverse(Y),identity) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),inverse(Y)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
inverse(Y) = multiply(inverse(Y),identity),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),multiply(inverse(Y),identity)) )],[refute_0_187,refute_0_273]) ).
cnf(refute_0_275,plain,
( inverse(Y) != multiply(inverse(Y),identity)
| multiply(inverse(Y),identity) = inverse(Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(Y))),bind(Y0,$fot(multiply(inverse(Y),identity)))]]) ).
cnf(refute_0_276,plain,
multiply(inverse(Y),identity) = inverse(Y),
inference(resolve,[$cnf( $equal(inverse(Y),multiply(inverse(Y),identity)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(inverse(X_13),identity) = inverse(X_13),
inference(subst,[],[refute_0_276:[bind(Y,$fot(X_13))]]) ).
cnf(refute_0_278,plain,
( multiply(inverse(X_13),identity) != inverse(X_13)
| multiply(inverse(X_13),identity) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(X_13) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),identity),inverse(multiply(inverse(inverse(X_13)),identity))) ),[0],$fot(inverse(X_13))]]) ).
cnf(refute_0_279,plain,
( multiply(inverse(X_13),identity) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(X_13) = inverse(multiply(inverse(inverse(X_13)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),identity),inverse(X_13)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_276:[bind(Y,$fot(inverse(X_13)))]]) ).
cnf(refute_0_281,plain,
inverse(multiply(inverse(inverse(X_13)),identity)) = inverse(multiply(inverse(inverse(X_13)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(X_13)),identity)))]]) ).
cnf(refute_0_282,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| inverse(multiply(inverse(inverse(X_13)),identity)) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(multiply(inverse(inverse(X_13)),identity)) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),inverse(multiply(inverse(inverse(X_13)),identity))) ),[1,0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_283,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| inverse(multiply(inverse(inverse(X_13)),identity)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
inverse(multiply(inverse(inverse(X_13)),identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
( inverse(X_13) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(multiply(inverse(inverse(X_13)),identity)) != inverse(inverse(inverse(X_13)))
| inverse(X_13) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(X_13),inverse(inverse(inverse(X_13)))) ),[0],$fot(inverse(multiply(inverse(inverse(X_13)),identity)))]]) ).
cnf(refute_0_286,plain,
( inverse(X_13) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(X_13) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
( multiply(inverse(X_13),identity) != inverse(multiply(inverse(inverse(X_13)),identity))
| inverse(X_13) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(X_13),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_279,refute_0_286]) ).
cnf(refute_0_288,plain,
inverse(X_13) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),identity),inverse(multiply(inverse(inverse(X_13)),identity))) )],[refute_0_263,refute_0_287]) ).
cnf(refute_0_289,plain,
inverse(double_divide(Y,X)) = inverse(inverse(inverse(double_divide(Y,X)))),
inference(subst,[],[refute_0_288:[bind(X_13,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_290,plain,
( inverse(double_divide(Y,X)) != multiply(X,Y)
| inverse(double_divide(Y,X)) != inverse(inverse(inverse(double_divide(Y,X))))
| inverse(double_divide(Y,X)) = inverse(inverse(multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(Y,X)),inverse(inverse(inverse(double_divide(Y,X))))) ),[1,0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_291,plain,
( inverse(double_divide(Y,X)) != inverse(inverse(inverse(double_divide(Y,X))))
| inverse(double_divide(Y,X)) = inverse(inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(double_divide(Y,X)) = inverse(inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),inverse(inverse(inverse(double_divide(Y,X))))) )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
( inverse(double_divide(Y,X)) != multiply(X,Y)
| inverse(double_divide(Y,X)) != inverse(inverse(multiply(X,Y)))
| multiply(X,Y) = inverse(inverse(multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(Y,X)),inverse(inverse(multiply(X,Y)))) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_294,plain,
( inverse(double_divide(Y,X)) != inverse(inverse(multiply(X,Y)))
| multiply(X,Y) = inverse(inverse(multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(X,Y) = inverse(inverse(multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),inverse(inverse(multiply(X,Y)))) )],[refute_0_292,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(X,Y) != inverse(inverse(multiply(X,Y)))
| inverse(inverse(multiply(X,Y))) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(inverse(multiply(X,Y)))))]]) ).
cnf(refute_0_297,plain,
inverse(inverse(multiply(X,Y))) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(inverse(multiply(X,Y)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) = multiply(double_divide(identity,X_18),multiply(X,Y)),
inference(subst,[],[refute_0_297:[bind(X,$fot(double_divide(identity,X_18))),bind(Y,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_299,plain,
inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))) = multiply(double_divide(identity,X_18),multiply(X,Y)),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(identity,X_18))),bind(Y,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_300,plain,
inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) = inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))))]]) ).
cnf(refute_0_301,plain,
( inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))) != multiply(double_divide(identity,X_18),multiply(X,Y))
| inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) != inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))))
| inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))),inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))))) ),[1,0],$fot(multiply(double_divide(identity,X_18),multiply(X,Y)))]]) ).
cnf(refute_0_302,plain,
( inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))) != multiply(double_divide(identity,X_18),multiply(X,Y))
| inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))),inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))),multiply(double_divide(identity,X_18),multiply(X,Y))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))]]) ).
cnf(refute_0_305,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity),
inference(subst,[],[refute_0_274:[bind(Y,$fot(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)))]]) ).
cnf(refute_0_306,plain,
multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) = inverse(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))]]) ).
cnf(refute_0_307,plain,
double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))) = X_18,
inference(subst,[],[refute_0_79:[bind(X_10,$fot(Y)),bind(X_12,$fot(X_18))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) != inverse(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))
| double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))) != X_18
| multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y),inverse(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_309,plain,
( multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) != inverse(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))
| multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))),X_18) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y) = inverse(X_18),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),Y),inverse(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity) = inverse(X_35),
inference(subst,[],[refute_0_310:[bind(Y,$fot(identity)),bind(X_18,$fot(X_35))]]) ).
cnf(refute_0_312,plain,
( multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity) != inverse(X_35)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity)) ),[1],$fot(inverse(X_35))]]) ).
cnf(refute_0_313,plain,
( inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity),inverse(X_35)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(X_35),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),multiply(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),identity)) )],[refute_0_305,refute_0_313]) ).
cnf(refute_0_315,plain,
double_divide(inverse(identity),double_divide(identity,X_35)) = double_divide(inverse(identity),double_divide(identity,X_35)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,X_35)))]]) ).
cnf(refute_0_316,plain,
( double_divide(inverse(identity),double_divide(identity,X_35)) != double_divide(inverse(identity),double_divide(identity,X_35))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(identity,X_35)) = double_divide(identity,double_divide(identity,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_35)),double_divide(inverse(identity),double_divide(identity,X_35))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_317,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(identity,X_35)) = double_divide(identity,double_divide(identity,X_35)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_35)),double_divide(inverse(identity),double_divide(identity,X_35))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
double_divide(inverse(identity),double_divide(identity,X_35)) = double_divide(identity,double_divide(identity,X_35)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) = multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity))]]) ).
cnf(refute_0_320,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) != multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)
| double_divide(inverse(identity),double_divide(identity,X_35)) != double_divide(identity,double_divide(identity,X_35))
| multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) = multiply(double_divide(identity,double_divide(identity,X_35)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity),multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) ),[1,0],$fot(double_divide(identity,double_divide(identity,X_35)))]]) ).
cnf(refute_0_321,plain,
( double_divide(inverse(identity),double_divide(identity,X_35)) != double_divide(identity,double_divide(identity,X_35))
| multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) = multiply(double_divide(identity,double_divide(identity,X_35)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity),multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) = multiply(double_divide(identity,double_divide(identity,X_35)),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_35)),double_divide(identity,double_divide(identity,X_35))) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)))]]) ).
cnf(refute_0_324,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) != multiply(double_divide(identity,double_divide(identity,X_35)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity))
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity))) ),[1,0],$fot(multiply(double_divide(identity,double_divide(identity,X_35)),identity))]]) ).
cnf(refute_0_325,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity) != multiply(double_divide(identity,double_divide(identity,X_35)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity),multiply(double_divide(identity,double_divide(identity,X_35)),identity)) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != inverse(X_35)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity))
| inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),inverse(X_35)) ),[0],$fot(inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)))]]) ).
cnf(refute_0_328,plain,
( inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)) != inverse(X_35)
| inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(multiply(double_divide(identity,double_divide(identity,X_35)),identity)) = inverse(X_35),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_35)),identity)),inverse(X_35)) )],[refute_0_314,refute_0_328]) ).
cnf(refute_0_330,plain,
inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = inverse(X_36),
inference(subst,[],[refute_0_329:[bind(X_35,$fot(X_36))]]) ).
cnf(refute_0_331,plain,
( multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))
| inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(X_36)
| multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = inverse(inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))) ),[1,0],$fot(inverse(X_36))]]) ).
cnf(refute_0_332,plain,
( multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))
| multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = inverse(inverse(X_36)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(X_36)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))) )],[refute_0_304,refute_0_332]) ).
cnf(refute_0_334,plain,
inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))) = multiply(double_divide(identity,double_divide(identity,X_36)),identity),
inference(subst,[],[refute_0_297:[bind(X,$fot(double_divide(identity,double_divide(identity,X_36)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_335,plain,
( multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))
| inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))) != multiply(double_divide(identity,double_divide(identity,X_36)),identity)
| multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = multiply(double_divide(identity,double_divide(identity,X_36)),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))))),bind(Z0,$fot(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))]]) ).
cnf(refute_0_336,plain,
( inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))) != multiply(double_divide(identity,double_divide(identity,X_36)),identity)
| multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = multiply(double_divide(identity,double_divide(identity,X_36)),identity) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity)))) )],[refute_0_304,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) = multiply(double_divide(identity,double_divide(identity,X_36)),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,double_divide(identity,X_36)),identity))),multiply(double_divide(identity,double_divide(identity,X_36)),identity)) )],[refute_0_334,refute_0_336]) ).
cnf(refute_0_338,plain,
( multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != multiply(double_divide(identity,double_divide(identity,X_36)),identity)
| multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(inverse(X_36))
| multiply(double_divide(identity,double_divide(identity,X_36)),identity) = inverse(inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(inverse(X_36))) ),[0],$fot(multiply(double_divide(identity,double_divide(identity,X_36)),identity))]]) ).
cnf(refute_0_339,plain,
( multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)) != inverse(inverse(X_36))
| multiply(double_divide(identity,double_divide(identity,X_36)),identity) = inverse(inverse(X_36)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),multiply(double_divide(identity,double_divide(identity,X_36)),identity)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(double_divide(identity,double_divide(identity,X_36)),identity) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(double_divide(identity,double_divide(identity,X_36)),identity)),inverse(inverse(X_36))) )],[refute_0_333,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),identity) = inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),
inference(subst,[],[refute_0_340:[bind(X_36,$fot(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).
cnf(refute_0_342,plain,
double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(X_11),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(identity))]]) ).
cnf(refute_0_343,plain,
( multiply(double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),identity) != inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))
| double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(X_11)
| multiply(double_divide(identity,inverse(X_11)),identity) = inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),identity),inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) ),[0,0,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_344,plain,
( multiply(double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),identity) != inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))
| multiply(double_divide(identity,inverse(X_11)),identity) = inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(X_11)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(double_divide(identity,inverse(X_11)),identity) = inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),identity),inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).
cnf(refute_0_347,plain,
( double_divide(identity,identity) != inverse(identity)
| inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,identity))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_348,plain,
( inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_351,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_352,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_352]) ).
cnf(refute_0_354,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(inverse(identity)))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_355,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_355]) ).
cnf(refute_0_357,plain,
double_divide(identity,inverse(inverse(identity))) = double_divide(identity,inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,inverse(inverse(identity))))]]) ).
cnf(refute_0_358,plain,
( double_divide(identity,inverse(inverse(identity))) != double_divide(identity,inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| double_divide(identity,inverse(inverse(identity))) = double_divide(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_359,plain,
( inverse(inverse(identity)) != identity
| double_divide(identity,inverse(inverse(identity))) = double_divide(identity,identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
double_divide(identity,inverse(inverse(identity))) = double_divide(identity,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( double_divide(identity,identity) != identity
| double_divide(identity,inverse(inverse(identity))) != double_divide(identity,identity)
| double_divide(identity,inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,inverse(inverse(identity))))),bind(Y0,$fot(double_divide(identity,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_362,plain,
( double_divide(identity,identity) != identity
| double_divide(identity,inverse(inverse(identity))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),double_divide(identity,identity)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
double_divide(identity,inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_349,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,double_divide(identity,inverse(inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))]]) ).
cnf(refute_0_365,plain,
( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,double_divide(identity,inverse(inverse(identity))))
| double_divide(identity,inverse(inverse(identity))) != identity
| multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_366,plain,
( double_divide(identity,inverse(inverse(identity))) != identity
| multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_11,double_divide(identity,inverse(inverse(identity)))) = multiply(X_11,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),identity) )],[refute_0_363,refute_0_366]) ).
cnf(refute_0_368,plain,
inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) = multiply(X_11,double_divide(identity,inverse(inverse(identity)))),
inference(subst,[],[refute_0_297:[bind(X,$fot(X_11)),bind(Y,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).
cnf(refute_0_369,plain,
( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
| inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) != multiply(X_11,double_divide(identity,inverse(inverse(identity))))
| inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) = multiply(X_11,identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))))),bind(Y0,$fot(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),bind(Z0,$fot(multiply(X_11,identity)))]]) ).
cnf(refute_0_370,plain,
( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
| inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) = multiply(X_11,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) = multiply(X_11,identity),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,identity)) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
( multiply(double_divide(identity,inverse(X_11)),identity) != inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))
| inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) != multiply(X_11,identity)
| multiply(double_divide(identity,inverse(X_11)),identity) = multiply(X_11,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(identity,inverse(X_11)),identity),multiply(X_11,identity)) ),[0],$fot(inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))))]]) ).
cnf(refute_0_373,plain,
( multiply(double_divide(identity,inverse(X_11)),identity) != inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))
| multiply(double_divide(identity,inverse(X_11)),identity) = multiply(X_11,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity)))))),multiply(X_11,identity)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(double_divide(identity,inverse(X_11)),identity) = multiply(X_11,identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),identity),inverse(inverse(multiply(X_11,double_divide(identity,inverse(inverse(identity))))))) )],[refute_0_345,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = multiply(double_divide(identity,double_divide(identity,X_36)),identity),
inference(subst,[],[refute_0_374:[bind(X_11,$fot(double_divide(identity,double_divide(identity,X_36))))]]) ).
cnf(refute_0_376,plain,
( multiply(double_divide(identity,double_divide(identity,X_36)),identity) != inverse(inverse(X_36))
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != multiply(double_divide(identity,double_divide(identity,X_36)),identity)
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = inverse(inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),multiply(double_divide(identity,double_divide(identity,X_36)),identity)) ),[1],$fot(inverse(inverse(X_36)))]]) ).
cnf(refute_0_377,plain,
( multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != multiply(double_divide(identity,double_divide(identity,X_36)),identity)
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = inverse(inverse(X_36)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(identity,X_36)),identity),inverse(inverse(X_36))) )],[refute_0_340,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),multiply(double_divide(identity,double_divide(identity,X_36)),identity)) )],[refute_0_375,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(inverse(multiply(X_36,identity))) = multiply(X_36,identity),
inference(subst,[],[refute_0_297:[bind(X,$fot(X_36)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_380,plain,
multiply(double_divide(identity,inverse(inverse(multiply(X,Y)))),identity) = multiply(inverse(multiply(X,Y)),identity),
inference(subst,[],[refute_0_374:[bind(X_11,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_381,plain,
( multiply(double_divide(identity,inverse(inverse(multiply(X,Y)))),identity) != multiply(inverse(multiply(X,Y)),identity)
| inverse(inverse(multiply(X,Y))) != multiply(X,Y)
| multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(inverse(multiply(X,Y)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(multiply(X,Y)))),identity),multiply(inverse(multiply(X,Y)),identity)) ),[0,0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_382,plain,
( multiply(double_divide(identity,inverse(inverse(multiply(X,Y)))),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(inverse(multiply(X,Y)),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X,Y))),multiply(X,Y)) )],[refute_0_297,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(inverse(multiply(X,Y)),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(inverse(multiply(X,Y)))),identity),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_380,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(double_divide(identity,inverse(double_divide(Y,X))),identity) = multiply(double_divide(Y,X),identity),
inference(subst,[],[refute_0_374:[bind(X_11,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_385,plain,
( multiply(double_divide(identity,inverse(double_divide(Y,X))),identity) != multiply(double_divide(Y,X),identity)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(double_divide(Y,X),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(Y,X))),identity),multiply(double_divide(Y,X),identity)) ),[0,0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_386,plain,
( multiply(double_divide(identity,inverse(double_divide(Y,X))),identity) != multiply(double_divide(Y,X),identity)
| multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(double_divide(Y,X),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(double_divide(identity,multiply(X,Y)),identity) = multiply(double_divide(Y,X),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(Y,X))),identity),multiply(double_divide(Y,X),identity)) )],[refute_0_384,refute_0_386]) ).
cnf(refute_0_388,plain,
( multiply(double_divide(identity,multiply(X,Y)),identity) != multiply(double_divide(Y,X),identity)
| multiply(double_divide(identity,multiply(X,Y)),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(double_divide(Y,X),identity) = multiply(inverse(multiply(X,Y)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X,Y)),identity),multiply(inverse(multiply(X,Y)),identity)) ),[0],$fot(multiply(double_divide(Y,X),identity))]]) ).
cnf(refute_0_389,plain,
( multiply(double_divide(identity,multiply(X,Y)),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(double_divide(Y,X),identity) = multiply(inverse(multiply(X,Y)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X,Y)),identity),multiply(double_divide(Y,X),identity)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(inverse(multiply(X,Y)),identity) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_276:[bind(Y,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_391,plain,
( multiply(double_divide(Y,X),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(inverse(multiply(X,Y)),identity) != inverse(multiply(X,Y))
| multiply(double_divide(Y,X),identity) = inverse(multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(Y,X),identity),inverse(multiply(X,Y))) ),[0],$fot(multiply(inverse(multiply(X,Y)),identity))]]) ).
cnf(refute_0_392,plain,
( multiply(double_divide(Y,X),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(double_divide(Y,X),identity) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),identity),inverse(multiply(X,Y))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiply(double_divide(identity,multiply(X,Y)),identity) != multiply(inverse(multiply(X,Y)),identity)
| multiply(double_divide(Y,X),identity) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),identity),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(double_divide(Y,X),identity) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X,Y)),identity),multiply(inverse(multiply(X,Y)),identity)) )],[refute_0_383,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(double_divide(identity,X_36),identity) = inverse(multiply(X_36,identity)),
inference(subst,[],[refute_0_394:[bind(X,$fot(X_36)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_396,plain,
inverse(double_divide(identity,double_divide(identity,X_36))) = multiply(double_divide(identity,X_36),identity),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(identity,X_36))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_397,plain,
( multiply(double_divide(identity,X_36),identity) != inverse(multiply(X_36,identity))
| inverse(double_divide(identity,double_divide(identity,X_36))) != multiply(double_divide(identity,X_36),identity)
| inverse(double_divide(identity,double_divide(identity,X_36))) = inverse(multiply(X_36,identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(identity,double_divide(identity,X_36))))),bind(Y0,$fot(multiply(double_divide(identity,X_36),identity))),bind(Z0,$fot(inverse(multiply(X_36,identity))))]]) ).
cnf(refute_0_398,plain,
( multiply(double_divide(identity,X_36),identity) != inverse(multiply(X_36,identity))
| inverse(double_divide(identity,double_divide(identity,X_36))) = inverse(multiply(X_36,identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,X_36))),multiply(double_divide(identity,X_36),identity)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
inverse(double_divide(identity,double_divide(identity,X_36))) = inverse(multiply(X_36,identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_36),identity),inverse(multiply(X_36,identity))) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) = inverse(double_divide(identity,double_divide(identity,X_36))),
inference(subst,[],[refute_0_276:[bind(Y,$fot(double_divide(identity,double_divide(identity,X_36))))]]) ).
cnf(refute_0_401,plain,
( multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) != inverse(double_divide(identity,double_divide(identity,X_36)))
| inverse(double_divide(identity,double_divide(identity,X_36))) != inverse(multiply(X_36,identity))
| multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) = inverse(multiply(X_36,identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))),bind(Y0,$fot(inverse(double_divide(identity,double_divide(identity,X_36))))),bind(Z0,$fot(inverse(multiply(X_36,identity))))]]) ).
cnf(refute_0_402,plain,
( inverse(double_divide(identity,double_divide(identity,X_36))) != inverse(multiply(X_36,identity))
| multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) = inverse(multiply(X_36,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity),inverse(double_divide(identity,double_divide(identity,X_36)))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) = inverse(multiply(X_36,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,X_36))),inverse(multiply(X_36,identity))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)))]]) ).
cnf(refute_0_405,plain,
( multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) != inverse(multiply(X_36,identity))
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) != inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = inverse(inverse(multiply(X_36,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))) ),[1,0],$fot(inverse(multiply(X_36,identity)))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity) != inverse(multiply(X_36,identity))
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = inverse(inverse(multiply(X_36,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = inverse(inverse(multiply(X_36,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity),inverse(multiply(X_36,identity))) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) != inverse(inverse(multiply(X_36,identity)))
| inverse(inverse(multiply(X_36,identity))) != multiply(X_36,identity)
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = multiply(X_36,identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)))),bind(Y0,$fot(inverse(inverse(multiply(X_36,identity))))),bind(Z0,$fot(multiply(X_36,identity)))]]) ).
cnf(refute_0_409,plain,
( inverse(inverse(multiply(X_36,identity))) != multiply(X_36,identity)
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = multiply(X_36,identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),inverse(inverse(multiply(X_36,identity)))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) = multiply(X_36,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_36,identity))),multiply(X_36,identity)) )],[refute_0_379,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),
inference(subst,[],[refute_0_394:[bind(X,$fot(inverse(double_divide(identity,double_divide(identity,X_36))))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_412,plain,
( multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))
| inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) != multiply(X_36,identity)
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = multiply(X_36,identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity))),bind(Y0,$fot(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)))),bind(Z0,$fot(multiply(X_36,identity)))]]) ).
cnf(refute_0_413,plain,
( inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)) != multiply(X_36,identity)
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = multiply(X_36,identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) = multiply(X_36,identity),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(double_divide(identity,double_divide(identity,X_36))),identity)),multiply(X_36,identity)) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != multiply(X_36,identity)
| multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != inverse(inverse(X_36))
| multiply(X_36,identity) = inverse(inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),inverse(inverse(X_36))) ),[0],$fot(multiply(X_36,identity))]]) ).
cnf(refute_0_416,plain,
( multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity) != inverse(inverse(X_36))
| multiply(X_36,identity) = inverse(inverse(X_36)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),multiply(X_36,identity)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(X_36,identity) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(double_divide(identity,double_divide(identity,X_36)))),identity),inverse(inverse(X_36))) )],[refute_0_378,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) = inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(double_divide(multiply(X,Y),double_divide(identity,X_18))))]]) ).
cnf(refute_0_419,plain,
( multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) != inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))))
| inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) != inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))
| multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),bind(Y0,$fot(inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))))),bind(Z0,$fot(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))))]]) ).
cnf(refute_0_420,plain,
( inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))) != inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))
| multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity),inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18))))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) = inverse(multiply(double_divide(identity,X_18),multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(multiply(X,Y),double_divide(identity,X_18)))),inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) )],[refute_0_303,refute_0_420]) ).
cnf(refute_0_422,plain,
inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)))]]) ).
cnf(refute_0_423,plain,
( multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) != inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) != inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) ),[1,0],$fot(inverse(multiply(double_divide(identity,X_18),multiply(X,Y))))]]) ).
cnf(refute_0_424,plain,
( multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity) != inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity),inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
( inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) != inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y))))
| inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) != multiply(double_divide(identity,X_18),multiply(X,Y))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = multiply(double_divide(identity,X_18),multiply(X,Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))))),bind(Z0,$fot(multiply(double_divide(identity,X_18),multiply(X,Y))))]]) ).
cnf(refute_0_427,plain,
( inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))) != multiply(double_divide(identity,X_18),multiply(X,Y))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = multiply(double_divide(identity,X_18),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)),inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y))))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) = multiply(double_divide(identity,X_18),multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_18),multiply(X,Y)))),multiply(double_divide(identity,X_18),multiply(X,Y))) )],[refute_0_298,refute_0_427]) ).
cnf(refute_0_429,plain,
double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))))]]) ).
cnf(refute_0_430,plain,
( double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) != double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)))
| inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) != multiply(double_divide(identity,X_18),multiply(X,Y))
| double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)))) ),[1,1],$fot(multiply(double_divide(identity,X_18),multiply(X,Y)))]]) ).
cnf(refute_0_431,plain,
( inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)) != multiply(double_divide(identity,X_18),multiply(X,Y))
| double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) = double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity)),multiply(double_divide(identity,X_18),multiply(X,Y))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) != X_18
| double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) != double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y)))
| double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),X_18) ),[0],$fot(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))))]]) ).
cnf(refute_0_434,plain,
( double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))) != X_18
| double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = X_18 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),inverse(multiply(double_divide(multiply(X,Y),double_divide(identity,X_18)),identity))),X_18) )],[refute_0_259,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_18,identity) = inverse(inverse(X_18)),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(X_18))]]) ).
cnf(refute_0_437,plain,
inverse(double_divide(identity,X_18)) = multiply(X_18,identity),
inference(subst,[],[refute_0_47:[bind(X,$fot(X_18)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_438,plain,
( multiply(X_18,identity) != inverse(inverse(X_18))
| inverse(double_divide(identity,X_18)) != multiply(X_18,identity)
| inverse(double_divide(identity,X_18)) = inverse(inverse(X_18)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(identity,X_18)))),bind(Y0,$fot(multiply(X_18,identity))),bind(Z0,$fot(inverse(inverse(X_18))))]]) ).
cnf(refute_0_439,plain,
( multiply(X_18,identity) != inverse(inverse(X_18))
| inverse(double_divide(identity,X_18)) = inverse(inverse(X_18)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_18)),multiply(X_18,identity)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
inverse(double_divide(identity,X_18)) = inverse(inverse(X_18)),
inference(resolve,[$cnf( $equal(multiply(X_18,identity),inverse(inverse(X_18))) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(inverse(double_divide(Y,X)))))) = inverse(X_14),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(double_divide(Y,X))),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_442,plain,
( double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(inverse(double_divide(Y,X)))))) != inverse(X_14)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(inverse(double_divide(Y,X)))))),inverse(X_14)) ),[0,1,1,1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_443,plain,
( double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(inverse(double_divide(Y,X)))))) != inverse(X_14)
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_442]) ).
cnf(refute_0_444,plain,
double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = inverse(X_14),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(inverse(double_divide(Y,X)))))),inverse(X_14)) )],[refute_0_441,refute_0_443]) ).
cnf(refute_0_445,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))))) = inverse(X_11),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(multiply(multiply(inverse(inverse(identity)),identity),identity)))]]) ).
cnf(refute_0_446,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))))) != inverse(X_11)
| inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)) != inverse(identity)
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))))),inverse(X_11)) ),[0,1,1,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_447,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))))) != inverse(X_11)
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)),inverse(identity)) )],[refute_0_223,refute_0_446]) ).
cnf(refute_0_448,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(multiply(multiply(inverse(inverse(identity)),identity),identity)))))),inverse(X_11)) )],[refute_0_445,refute_0_447]) ).
cnf(refute_0_449,plain,
double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).
cnf(refute_0_450,plain,
( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
| double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
| double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),[1,1],$fot(multiply(X_11,identity))]]) ).
cnf(refute_0_451,plain,
( multiply(X_11,double_divide(identity,inverse(inverse(identity)))) != multiply(X_11,identity)
| double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(inverse(identity)))),multiply(X_11,identity)) )],[refute_0_367,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(identity,identity) = inverse(inverse(identity)),
inference(subst,[],[refute_0_63:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_454,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| inverse(inverse(identity)) != identity
| multiply(identity,identity) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(identity,identity))),bind(Y0,$fot(inverse(inverse(identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_455,plain,
( inverse(inverse(identity)) != identity
| multiply(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_356,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(inverse(inverse(identity)),identity) = multiply(inverse(inverse(identity)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),identity))]]) ).
cnf(refute_0_458,plain,
( multiply(inverse(inverse(identity)),identity) != multiply(inverse(inverse(identity)),identity)
| inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),identity) = multiply(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),multiply(inverse(inverse(identity)),identity)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_459,plain,
( inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),identity) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),multiply(inverse(inverse(identity)),identity)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(inverse(inverse(identity)),identity) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_356,refute_0_459]) ).
cnf(refute_0_461,plain,
( multiply(identity,identity) != identity
| multiply(inverse(inverse(identity)),identity) != multiply(identity,identity)
| multiply(inverse(inverse(identity)),identity) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(inverse(identity)),identity))),bind(Y0,$fot(multiply(identity,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_462,plain,
( multiply(identity,identity) != identity
| multiply(inverse(inverse(identity)),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),multiply(identity,identity)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(inverse(inverse(identity)),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_456,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(multiply(inverse(inverse(identity)),identity),identity),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))]]) ).
cnf(refute_0_465,plain,
( multiply(multiply(inverse(inverse(identity)),identity),identity) != multiply(multiply(inverse(inverse(identity)),identity),identity)
| multiply(inverse(inverse(identity)),identity) != identity
| multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(multiply(inverse(inverse(identity)),identity),identity)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_466,plain,
( multiply(inverse(inverse(identity)),identity) != identity
| multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(multiply(inverse(inverse(identity)),identity),identity)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(multiply(inverse(inverse(identity)),identity),identity) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),identity) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiply(multiply(inverse(inverse(identity)),identity),identity) != multiply(identity,identity)
| multiply(identity,identity) != identity
| multiply(multiply(inverse(inverse(identity)),identity),identity) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(multiply(inverse(inverse(identity)),identity),identity))),bind(Y0,$fot(multiply(identity,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_469,plain,
( multiply(identity,identity) != identity
| multiply(multiply(inverse(inverse(identity)),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(identity,identity)) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(multiply(inverse(inverse(identity)),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_456,refute_0_469]) ).
cnf(refute_0_471,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))))]]) ).
cnf(refute_0_472,plain,
( multiply(multiply(inverse(inverse(identity)),identity),identity) != identity
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_473,plain,
( multiply(multiply(inverse(inverse(identity)),identity),identity) != identity
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),identity),identity) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))
| double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,multiply(X_11,identity))
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))))),bind(Y0,$fot(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))))),bind(Z0,$fot(double_divide(identity,multiply(X_11,identity))))]]) ).
cnf(refute_0_476,plain,
( double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,multiply(X_11,identity))
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity)))))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) = double_divide(identity,multiply(X_11,identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,multiply(X_11,identity))) )],[refute_0_452,refute_0_476]) ).
cnf(refute_0_478,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != double_divide(identity,multiply(X_11,identity))
| double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(X_11)
| double_divide(identity,multiply(X_11,identity)) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(X_11)) ),[0],$fot(double_divide(identity,multiply(X_11,identity)))]]) ).
cnf(refute_0_479,plain,
( double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))) != inverse(X_11)
| double_divide(identity,multiply(X_11,identity)) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),double_divide(identity,multiply(X_11,identity))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
double_divide(identity,multiply(X_11,identity)) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(inverse(identity)),identity),identity),multiply(X_11,double_divide(identity,inverse(inverse(identity))))),inverse(X_11)) )],[refute_0_448,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X_11,identity) = inverse(inverse(X_11)),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(X_11))]]) ).
cnf(refute_0_482,plain,
double_divide(identity,multiply(X_11,identity)) = double_divide(identity,multiply(X_11,identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(X_11,identity)))]]) ).
cnf(refute_0_483,plain,
( multiply(X_11,identity) != inverse(inverse(X_11))
| double_divide(identity,multiply(X_11,identity)) != double_divide(identity,multiply(X_11,identity))
| double_divide(identity,multiply(X_11,identity)) = double_divide(identity,inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_11,identity)),double_divide(identity,multiply(X_11,identity))) ),[1,1],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_484,plain,
( multiply(X_11,identity) != inverse(inverse(X_11))
| double_divide(identity,multiply(X_11,identity)) = double_divide(identity,inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,identity)),double_divide(identity,multiply(X_11,identity))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
double_divide(identity,multiply(X_11,identity)) = double_divide(identity,inverse(inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(X_11,identity),inverse(inverse(X_11))) )],[refute_0_481,refute_0_484]) ).
cnf(refute_0_486,plain,
( double_divide(identity,multiply(X_11,identity)) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(identity,multiply(X_11,identity)) != inverse(X_11)
| double_divide(identity,inverse(inverse(X_11))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_11,identity)),inverse(X_11)) ),[0],$fot(double_divide(identity,inverse(inverse(X_11))))]]) ).
cnf(refute_0_487,plain,
( double_divide(identity,multiply(X_11,identity)) != inverse(X_11)
| double_divide(identity,inverse(inverse(X_11))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,identity)),double_divide(identity,inverse(inverse(X_11)))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
double_divide(identity,inverse(inverse(X_11))) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_11,identity)),inverse(X_11)) )],[refute_0_480,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(identity,inverse(inverse(inverse(X_13)))) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_488:[bind(X_11,$fot(inverse(X_13)))]]) ).
cnf(refute_0_490,plain,
( inverse(X_13) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) = inverse(X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_13))),bind(Y0,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_491,plain,
inverse(inverse(inverse(X_13))) = inverse(X_13),
inference(resolve,[$cnf( $equal(inverse(X_13),inverse(inverse(inverse(X_13)))) )],[refute_0_288,refute_0_490]) ).
cnf(refute_0_492,plain,
( double_divide(identity,inverse(inverse(inverse(X_13)))) != inverse(inverse(X_13))
| inverse(inverse(inverse(X_13))) != inverse(X_13)
| double_divide(identity,inverse(X_13)) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(inverse(X_13)))),inverse(inverse(X_13))) ),[0,1],$fot(inverse(X_13))]]) ).
cnf(refute_0_493,plain,
( double_divide(identity,inverse(inverse(inverse(X_13)))) != inverse(inverse(X_13))
| double_divide(identity,inverse(X_13)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(identity,inverse(X_13)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(inverse(X_13)))),inverse(inverse(X_13))) )],[refute_0_489,refute_0_493]) ).
cnf(refute_0_495,plain,
double_divide(identity,inverse(multiply(X,Y))) = inverse(inverse(multiply(X,Y))),
inference(subst,[],[refute_0_494:[bind(X_13,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_496,plain,
( double_divide(identity,inverse(multiply(X,Y))) != inverse(inverse(multiply(X,Y)))
| inverse(inverse(multiply(X,Y))) != multiply(X,Y)
| double_divide(identity,inverse(multiply(X,Y))) = multiply(X,Y) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,inverse(multiply(X,Y))))),bind(Y0,$fot(inverse(inverse(multiply(X,Y))))),bind(Z0,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_497,plain,
( inverse(inverse(multiply(X,Y))) != multiply(X,Y)
| double_divide(identity,inverse(multiply(X,Y))) = multiply(X,Y) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(X,Y))),inverse(inverse(multiply(X,Y)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
double_divide(identity,inverse(multiply(X,Y))) = multiply(X,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X,Y))),multiply(X,Y)) )],[refute_0_297,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) = multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))),
introduced(tautology,[refl,[$fot(multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))))]]) ).
cnf(refute_0_500,plain,
( multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) != multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))
| double_divide(identity,inverse(multiply(X,Y))) != multiply(X,Y)
| multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) = multiply(X_14,multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) ),[1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_501,plain,
( double_divide(identity,inverse(multiply(X,Y))) != multiply(X,Y)
| multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) = multiply(X_14,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) = multiply(X_14,multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(multiply(X,Y))),multiply(X,Y)) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))))]]) ).
cnf(refute_0_504,plain,
( multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) != multiply(X_14,multiply(X,Y))
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) != double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))))
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))))) ),[1,1],$fot(multiply(X_14,multiply(X,Y)))]]) ).
cnf(refute_0_505,plain,
( multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))) != multiply(X_14,multiply(X,Y))
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) = double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(multiply(X,Y)))),multiply(X_14,multiply(X,Y))) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) != double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y)))
| double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) != inverse(X_14)
| double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),inverse(X_14)) ),[0],$fot(double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))))]]) ).
cnf(refute_0_508,plain,
( double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))) != inverse(X_14)
| double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
double_divide(double_divide(Y,X),multiply(X_14,multiply(X,Y))) = inverse(X_14),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_14,double_divide(identity,inverse(multiply(X,Y))))),inverse(X_14)) )],[refute_0_444,refute_0_508]) ).
cnf(refute_0_510,plain,
double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = inverse(double_divide(identity,X_18)),
inference(subst,[],[refute_0_509:[bind(X_14,$fot(double_divide(identity,X_18)))]]) ).
cnf(refute_0_511,plain,
( double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) != inverse(double_divide(identity,X_18))
| inverse(double_divide(identity,X_18)) != inverse(inverse(X_18))
| double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = inverse(inverse(X_18)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))))),bind(Y0,$fot(inverse(double_divide(identity,X_18)))),bind(Z0,$fot(inverse(inverse(X_18))))]]) ).
cnf(refute_0_512,plain,
( inverse(double_divide(identity,X_18)) != inverse(inverse(X_18))
| double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = inverse(inverse(X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))),inverse(double_divide(identity,X_18))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) = inverse(inverse(X_18)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_18)),inverse(inverse(X_18))) )],[refute_0_440,refute_0_512]) ).
cnf(refute_0_514,plain,
( double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) != X_18
| double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) != inverse(inverse(X_18))
| inverse(inverse(X_18)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))),X_18) ),[0],$fot(inverse(inverse(X_18)))]]) ).
cnf(refute_0_515,plain,
( double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))) != X_18
| inverse(inverse(X_18)) = X_18 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))),inverse(inverse(X_18))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(inverse(X_18)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(double_divide(identity,X_18),multiply(X,Y))),X_18) )],[refute_0_435,refute_0_515]) ).
cnf(refute_0_517,plain,
inverse(inverse(a2)) = a2,
inference(subst,[],[refute_0_516:[bind(X_18,$fot(a2))]]) ).
cnf(refute_0_518,plain,
( a2 != a2
| inverse(inverse(a2)) != a2
| inverse(inverse(a2)) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).
cnf(refute_0_519,plain,
( a2 != a2
| inverse(inverse(a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_519,refute_0_255]) ).
cnf(refute_0_521,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_522,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_521,refute_0_520]) ).
cnf(refute_0_523,plain,
multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = inverse(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y)))))),
inference(subst,[],[refute_0_8:[bind(X,$fot(multiply(X_14,double_divide(identity,inverse(inverse(Y))))))]]) ).
cnf(refute_0_524,plain,
( multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != inverse(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))
| double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))) != inverse(X_14)
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = inverse(inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),inverse(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))) ),[1,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_525,plain,
( multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != inverse(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))),inverse(X_14)) )],[refute_0_174,refute_0_524]) ).
cnf(refute_0_526,plain,
multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),inverse(double_divide(Y,multiply(X_14,double_divide(identity,inverse(inverse(Y))))))) )],[refute_0_523,refute_0_525]) ).
cnf(refute_0_527,plain,
double_divide(identity,inverse(inverse(Y))) = inverse(Y),
inference(subst,[],[refute_0_488:[bind(X_11,$fot(Y))]]) ).
cnf(refute_0_528,plain,
multiply(X_14,double_divide(identity,inverse(inverse(Y)))) = multiply(X_14,double_divide(identity,inverse(inverse(Y)))),
introduced(tautology,[refl,[$fot(multiply(X_14,double_divide(identity,inverse(inverse(Y)))))]]) ).
cnf(refute_0_529,plain,
( multiply(X_14,double_divide(identity,inverse(inverse(Y)))) != multiply(X_14,double_divide(identity,inverse(inverse(Y))))
| double_divide(identity,inverse(inverse(Y))) != inverse(Y)
| multiply(X_14,double_divide(identity,inverse(inverse(Y)))) = multiply(X_14,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),multiply(X_14,double_divide(identity,inverse(inverse(Y))))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_530,plain,
( double_divide(identity,inverse(inverse(Y))) != inverse(Y)
| multiply(X_14,double_divide(identity,inverse(inverse(Y)))) = multiply(X_14,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),multiply(X_14,double_divide(identity,inverse(inverse(Y))))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_14,double_divide(identity,inverse(inverse(Y)))) = multiply(X_14,inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(Y))),inverse(Y)) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),
introduced(tautology,[refl,[$fot(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y))]]) ).
cnf(refute_0_533,plain,
( multiply(X_14,double_divide(identity,inverse(inverse(Y)))) != multiply(X_14,inverse(Y))
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y)
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = multiply(multiply(X_14,inverse(Y)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y)) ),[1,0],$fot(multiply(X_14,inverse(Y)))]]) ).
cnf(refute_0_534,plain,
( multiply(X_14,double_divide(identity,inverse(inverse(Y)))) != multiply(X_14,inverse(Y))
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = multiply(multiply(X_14,inverse(Y)),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) = multiply(multiply(X_14,inverse(Y)),Y),
inference(resolve,[$cnf( $equal(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),multiply(X_14,inverse(Y))) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != multiply(multiply(X_14,inverse(Y)),Y)
| multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != inverse(inverse(X_14))
| multiply(multiply(X_14,inverse(Y)),Y) = inverse(inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),inverse(inverse(X_14))) ),[0],$fot(multiply(multiply(X_14,inverse(Y)),Y))]]) ).
cnf(refute_0_537,plain,
( multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y) != inverse(inverse(X_14))
| multiply(multiply(X_14,inverse(Y)),Y) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),multiply(multiply(X_14,inverse(Y)),Y)) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(multiply(X_14,inverse(Y)),Y) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,double_divide(identity,inverse(inverse(Y)))),Y),inverse(inverse(X_14))) )],[refute_0_526,refute_0_537]) ).
cnf(refute_0_539,plain,
inverse(inverse(X_14)) = X_14,
inference(subst,[],[refute_0_516:[bind(X_18,$fot(X_14))]]) ).
cnf(refute_0_540,plain,
( multiply(multiply(X_14,inverse(Y)),Y) != inverse(inverse(X_14))
| inverse(inverse(X_14)) != X_14
| multiply(multiply(X_14,inverse(Y)),Y) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_14,inverse(Y)),Y),X_14) ),[0],$fot(inverse(inverse(X_14)))]]) ).
cnf(refute_0_541,plain,
( multiply(multiply(X_14,inverse(Y)),Y) != inverse(inverse(X_14))
| multiply(multiply(X_14,inverse(Y)),Y) = X_14 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(multiply(X_14,inverse(Y)),Y) = X_14,
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(Y)),Y),inverse(inverse(X_14))) )],[refute_0_538,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(multiply(X_68,inverse(double_divide(Y,X))),double_divide(Y,X)) = X_68,
inference(subst,[],[refute_0_542:[bind(Y,$fot(double_divide(Y,X))),bind(X_14,$fot(X_68))]]) ).
cnf(refute_0_544,plain,
( multiply(multiply(X_68,inverse(double_divide(Y,X))),double_divide(Y,X)) != X_68
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(multiply(X_68,multiply(X,Y)),double_divide(Y,X)) = X_68 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_68,inverse(double_divide(Y,X))),double_divide(Y,X)),X_68) ),[0,0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_545,plain,
( multiply(multiply(X_68,inverse(double_divide(Y,X))),double_divide(Y,X)) != X_68
| multiply(multiply(X_68,multiply(X,Y)),double_divide(Y,X)) = X_68 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(multiply(X_68,multiply(X,Y)),double_divide(Y,X)) = X_68,
inference(resolve,[$cnf( $equal(multiply(multiply(X_68,inverse(double_divide(Y,X))),double_divide(Y,X)),X_68) )],[refute_0_543,refute_0_545]) ).
cnf(refute_0_547,plain,
multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),double_divide(inverse(X_11),inverse(X_20))) = X_71,
inference(subst,[],[refute_0_546:[bind(X,$fot(inverse(X_20))),bind(Y,$fot(inverse(X_11))),bind(X_68,$fot(X_71))]]) ).
cnf(refute_0_548,plain,
double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(inverse(double_divide(Y,X)),double_divide(X_11,X_12))))) = X_12,
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(Y,X))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_549,plain,
( double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(inverse(double_divide(Y,X)),double_divide(X_11,X_12))))) != X_12
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(inverse(double_divide(Y,X)),double_divide(X_11,X_12))))),X_12) ),[0,1,1,1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_550,plain,
( double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(inverse(double_divide(Y,X)),double_divide(X_11,X_12))))) != X_12
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_549]) ).
cnf(refute_0_551,plain,
double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(inverse(double_divide(Y,X)),double_divide(X_11,X_12))))),X_12) )],[refute_0_548,refute_0_550]) ).
cnf(refute_0_552,plain,
inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),multiply(X,Y)),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(X_11,X_12))),bind(Y,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_553,plain,
multiply(inverse(multiply(double_divide(inverse(inverse(inverse(X_13))),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = inverse(X_35),
inference(subst,[],[refute_0_310:[bind(Y,$fot(inverse(inverse(X_13)))),bind(X_18,$fot(X_35))]]) ).
cnf(refute_0_554,plain,
( multiply(inverse(multiply(double_divide(inverse(inverse(inverse(X_13))),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != inverse(X_35)
| inverse(inverse(inverse(X_13))) != inverse(X_13)
| multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(inverse(inverse(X_13))),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),inverse(X_35)) ),[0,0,0,0,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_555,plain,
( multiply(inverse(multiply(double_divide(inverse(inverse(inverse(X_13))),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != inverse(X_35)
| multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_491,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = inverse(X_35),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(inverse(inverse(X_13))),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),inverse(X_35)) )],[refute_0_553,refute_0_555]) ).
cnf(refute_0_557,plain,
inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) = multiply(double_divide(identity,X_35),inverse(X_13)),
inference(subst,[],[refute_0_297:[bind(X,$fot(double_divide(identity,X_35))),bind(Y,$fot(inverse(X_13)))]]) ).
cnf(refute_0_558,plain,
inverse(double_divide(inverse(X_13),double_divide(identity,X_35))) = multiply(double_divide(identity,X_35),inverse(X_13)),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(identity,X_35))),bind(Y,$fot(inverse(X_13)))]]) ).
cnf(refute_0_559,plain,
inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) = inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))))]]) ).
cnf(refute_0_560,plain,
( inverse(double_divide(inverse(X_13),double_divide(identity,X_35))) != multiply(double_divide(identity,X_35),inverse(X_13))
| inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) != inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))))
| inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))),inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))))) ),[1,0],$fot(multiply(double_divide(identity,X_35),inverse(X_13)))]]) ).
cnf(refute_0_561,plain,
( inverse(double_divide(inverse(X_13),double_divide(identity,X_35))) != multiply(double_divide(identity,X_35),inverse(X_13))
| inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))),inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))),multiply(double_divide(identity,X_35),inverse(X_13))) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) = inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(double_divide(inverse(X_13),double_divide(identity,X_35))))]]) ).
cnf(refute_0_564,plain,
( multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) != inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))))
| inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) != inverse(multiply(double_divide(identity,X_35),inverse(X_13)))
| multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity))),bind(Y0,$fot(inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))))),bind(Z0,$fot(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))))]]) ).
cnf(refute_0_565,plain,
( inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))) != inverse(multiply(double_divide(identity,X_35),inverse(X_13)))
| multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity),inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35))))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) = inverse(multiply(double_divide(identity,X_35),inverse(X_13))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_13),double_divide(identity,X_35)))),inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) )],[refute_0_562,refute_0_565]) ).
cnf(refute_0_567,plain,
inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)))]]) ).
cnf(refute_0_568,plain,
( multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) != inverse(multiply(double_divide(identity,X_35),inverse(X_13)))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) != inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity))) ),[1,0],$fot(inverse(multiply(double_divide(identity,X_35),inverse(X_13))))]]) ).
cnf(refute_0_569,plain,
( multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity) != inverse(multiply(double_divide(identity,X_35),inverse(X_13)))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity),inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
( inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) != inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13))))
| inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) != multiply(double_divide(identity,X_35),inverse(X_13))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = multiply(double_divide(identity,X_35),inverse(X_13)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))))),bind(Z0,$fot(multiply(double_divide(identity,X_35),inverse(X_13))))]]) ).
cnf(refute_0_572,plain,
( inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))) != multiply(double_divide(identity,X_35),inverse(X_13))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = multiply(double_divide(identity,X_35),inverse(X_13)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13))))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) = multiply(double_divide(identity,X_35),inverse(X_13)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_35),inverse(X_13)))),multiply(double_divide(identity,X_35),inverse(X_13))) )],[refute_0_557,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))))]]) ).
cnf(refute_0_575,plain,
( multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13)))
| inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) != multiply(double_divide(identity,X_35),inverse(X_13))
| multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13)))) ),[1,0],$fot(multiply(double_divide(identity,X_35),inverse(X_13)))]]) ).
cnf(refute_0_576,plain,
( inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)) != multiply(double_divide(identity,X_35),inverse(X_13))
| multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),multiply(double_divide(identity,X_35),inverse(X_13))) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
( multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13)))
| multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != inverse(X_35)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),inverse(X_35)) ),[0],$fot(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))))]]) ).
cnf(refute_0_579,plain,
( multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))) != inverse(X_35)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13)))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = inverse(X_35),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(double_divide(inverse(X_13),double_divide(identity,X_35)),identity)),inverse(inverse(X_13))),inverse(X_35)) )],[refute_0_556,refute_0_579]) ).
cnf(refute_0_581,plain,
multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13) = double_divide(identity,X_35),
inference(subst,[],[refute_0_542:[bind(Y,$fot(X_13)),bind(X_14,$fot(double_divide(identity,X_35)))]]) ).
cnf(refute_0_582,plain,
inverse(inverse(X_13)) = X_13,
inference(subst,[],[refute_0_516:[bind(X_18,$fot(X_13))]]) ).
cnf(refute_0_583,plain,
multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))))]]) ).
cnf(refute_0_584,plain,
( multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) != multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_585,plain,
( inverse(inverse(X_13)) != X_13
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
( multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13) != double_divide(identity,X_35)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) != multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = double_divide(identity,X_35) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))))),bind(Y0,$fot(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13))),bind(Z0,$fot(double_divide(identity,X_35)))]]) ).
cnf(refute_0_588,plain,
( multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13) != double_divide(identity,X_35)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = double_divide(identity,X_35) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) = double_divide(identity,X_35),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),X_13),double_divide(identity,X_35)) )],[refute_0_581,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) != double_divide(identity,X_35)
| multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) != inverse(X_35)
| double_divide(identity,X_35) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),inverse(X_35)) ),[0],$fot(double_divide(identity,X_35))]]) ).
cnf(refute_0_591,plain,
( multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))) != inverse(X_35)
| double_divide(identity,X_35) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),double_divide(identity,X_35)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
double_divide(identity,X_35) = inverse(X_35),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_35),inverse(X_13)),inverse(inverse(X_13))),inverse(X_35)) )],[refute_0_580,refute_0_591]) ).
cnf(refute_0_593,plain,
double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) = inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))),
inference(subst,[],[refute_0_592:[bind(X_35,$fot(double_divide(multiply(X,Y),double_divide(X_11,X_12))))]]) ).
cnf(refute_0_594,plain,
( double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) != inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12)))
| inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),multiply(X,Y))
| double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),multiply(X,Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),bind(Y0,$fot(inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))))),bind(Z0,$fot(multiply(double_divide(X_11,X_12),multiply(X,Y))))]]) ).
cnf(refute_0_595,plain,
( inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),multiply(X,Y))
| double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))),inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12)))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),multiply(X,Y)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X,Y),double_divide(X_11,X_12))),multiply(double_divide(X_11,X_12),multiply(X,Y))) )],[refute_0_552,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) = multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))))]]) ).
cnf(refute_0_598,plain,
( multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) != multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))
| double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),multiply(X,Y))
| multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) ),[1,1],$fot(multiply(double_divide(X_11,X_12),multiply(X,Y)))]]) ).
cnf(refute_0_599,plain,
( double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),multiply(X,Y))
| multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))),multiply(double_divide(X_11,X_12),multiply(X,Y))) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))))]]) ).
cnf(refute_0_602,plain,
( multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) != multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) != double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))))
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))))) ),[1,1],$fot(multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))))]]) ).
cnf(refute_0_603,plain,
( multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))) != multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) = double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12)))),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
( double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) != X_12
| double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) != double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))))
| double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),X_12) ),[0],$fot(double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))))]]) ).
cnf(refute_0_606,plain,
( double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))) != X_12
| double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
double_divide(double_divide(Y,X),multiply(X_11,multiply(double_divide(X_11,X_12),multiply(X,Y)))) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X_11,double_divide(identity,double_divide(multiply(X,Y),double_divide(X_11,X_12))))),X_12) )],[refute_0_551,refute_0_606]) ).
cnf(refute_0_608,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),multiply(multiply(X,Y),double_divide(Y,X))))) = X_56,
inference(subst,[],[refute_0_607:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(double_divide(Y,X))),bind(X_11,$fot(X_55)),bind(X_12,$fot(X_56))]]) ).
cnf(refute_0_609,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_610,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != inverse(identity)
| multiply(multiply(X,Y),double_divide(Y,X)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(multiply(X,Y),double_divide(Y,X)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),inverse(identity)) )],[refute_0_114,refute_0_610]) ).
cnf(refute_0_612,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != identity
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),multiply(multiply(X,Y),double_divide(Y,X))))) != X_56
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),multiply(multiply(X,Y),double_divide(Y,X))))),X_56) ),[0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_613,plain,
( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),multiply(multiply(X,Y),double_divide(Y,X))))) != X_56
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = X_56 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),multiply(multiply(X,Y),double_divide(Y,X))))),X_56) )],[refute_0_608,refute_0_613]) ).
cnf(refute_0_615,plain,
double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(inverse(inverse(X_20)))))) = inverse(X_11),
inference(subst,[],[refute_0_104:[bind(X_10,$fot(inverse(X_20)))]]) ).
cnf(refute_0_616,plain,
inverse(X_20) = inverse(inverse(inverse(X_20))),
inference(subst,[],[refute_0_288:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_617,plain,
( inverse(X_20) != inverse(inverse(inverse(X_20)))
| inverse(inverse(inverse(X_20))) = inverse(X_20) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_20))),bind(Y0,$fot(inverse(inverse(inverse(X_20)))))]]) ).
cnf(refute_0_618,plain,
inverse(inverse(inverse(X_20))) = inverse(X_20),
inference(resolve,[$cnf( $equal(inverse(X_20),inverse(inverse(inverse(X_20)))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
( double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(inverse(inverse(X_20)))))) != inverse(X_11)
| inverse(inverse(inverse(X_20))) != inverse(X_20)
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(inverse(inverse(X_20)))))),inverse(X_11)) ),[0,1,1,1],$fot(inverse(X_20))]]) ).
cnf(refute_0_620,plain,
( double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(inverse(inverse(X_20)))))) != inverse(X_11)
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_20))),inverse(X_20)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(inverse(inverse(X_20)))))),inverse(X_11)) )],[refute_0_615,refute_0_620]) ).
cnf(refute_0_622,plain,
inverse(inverse(X_20)) = X_20,
inference(subst,[],[refute_0_516:[bind(X_18,$fot(X_20))]]) ).
cnf(refute_0_623,plain,
double_divide(identity,inverse(X_20)) = inverse(inverse(X_20)),
inference(subst,[],[refute_0_494:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_624,plain,
( double_divide(identity,inverse(X_20)) != inverse(inverse(X_20))
| inverse(inverse(X_20)) != X_20
| double_divide(identity,inverse(X_20)) = X_20 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,inverse(X_20)))),bind(Y0,$fot(inverse(inverse(X_20)))),bind(Z0,$fot(X_20))]]) ).
cnf(refute_0_625,plain,
( inverse(inverse(X_20)) != X_20
| double_divide(identity,inverse(X_20)) = X_20 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_20)),inverse(inverse(X_20))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
double_divide(identity,inverse(X_20)) = X_20,
inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),X_20) )],[refute_0_622,refute_0_625]) ).
cnf(refute_0_627,plain,
multiply(X_11,double_divide(identity,inverse(X_20))) = multiply(X_11,double_divide(identity,inverse(X_20))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,inverse(X_20))))]]) ).
cnf(refute_0_628,plain,
( multiply(X_11,double_divide(identity,inverse(X_20))) != multiply(X_11,double_divide(identity,inverse(X_20)))
| double_divide(identity,inverse(X_20)) != X_20
| multiply(X_11,double_divide(identity,inverse(X_20))) = multiply(X_11,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(X_20))),multiply(X_11,double_divide(identity,inverse(X_20)))) ),[1,1],$fot(X_20)]]) ).
cnf(refute_0_629,plain,
( double_divide(identity,inverse(X_20)) != X_20
| multiply(X_11,double_divide(identity,inverse(X_20))) = multiply(X_11,X_20) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(X_20))),multiply(X_11,double_divide(identity,inverse(X_20)))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(X_11,double_divide(identity,inverse(X_20))) = multiply(X_11,X_20),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_20)),X_20) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))))]]) ).
cnf(refute_0_632,plain,
( multiply(X_11,double_divide(identity,inverse(X_20))) != multiply(X_11,X_20)
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) != double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20))))
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = double_divide(inverse(X_20),multiply(X_11,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20))))) ),[1,1],$fot(multiply(X_11,X_20))]]) ).
cnf(refute_0_633,plain,
( multiply(X_11,double_divide(identity,inverse(X_20))) != multiply(X_11,X_20)
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = double_divide(inverse(X_20),multiply(X_11,X_20)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20))))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) = double_divide(inverse(X_20),multiply(X_11,X_20)),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,inverse(X_20))),multiply(X_11,X_20)) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
( double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) != double_divide(inverse(X_20),multiply(X_11,X_20))
| double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) != inverse(X_11)
| double_divide(inverse(X_20),multiply(X_11,X_20)) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),inverse(X_11)) ),[0],$fot(double_divide(inverse(X_20),multiply(X_11,X_20)))]]) ).
cnf(refute_0_636,plain,
( double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))) != inverse(X_11)
| double_divide(inverse(X_20),multiply(X_11,X_20)) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),double_divide(inverse(X_20),multiply(X_11,X_20))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
double_divide(inverse(X_20),multiply(X_11,X_20)) = inverse(X_11),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,double_divide(identity,inverse(X_20)))),inverse(X_11)) )],[refute_0_621,refute_0_636]) ).
cnf(refute_0_638,plain,
double_divide(inverse(double_divide(Y,X)),multiply(multiply(X,Y),double_divide(Y,X))) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_637:[bind(X_11,$fot(multiply(X,Y))),bind(X_20,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_639,plain,
( multiply(multiply(X,Y),double_divide(Y,X)) != identity
| double_divide(inverse(double_divide(Y,X)),multiply(multiply(X,Y),double_divide(Y,X))) != inverse(multiply(X,Y))
| double_divide(inverse(double_divide(Y,X)),identity) = inverse(multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),multiply(multiply(X,Y),double_divide(Y,X))),inverse(multiply(X,Y))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_640,plain,
( double_divide(inverse(double_divide(Y,X)),multiply(multiply(X,Y),double_divide(Y,X))) != inverse(multiply(X,Y))
| double_divide(inverse(double_divide(Y,X)),identity) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),double_divide(Y,X)),identity) )],[refute_0_611,refute_0_639]) ).
cnf(refute_0_641,plain,
double_divide(inverse(double_divide(Y,X)),identity) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),multiply(multiply(X,Y),double_divide(Y,X))),inverse(multiply(X,Y))) )],[refute_0_638,refute_0_640]) ).
cnf(refute_0_642,plain,
inverse(inverse(double_divide(Y,X))) = double_divide(Y,X),
inference(subst,[],[refute_0_516:[bind(X_18,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_643,plain,
double_divide(inverse(double_divide(Y,X)),identity) = inverse(inverse(double_divide(Y,X))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_644,plain,
( double_divide(inverse(double_divide(Y,X)),identity) != inverse(inverse(double_divide(Y,X)))
| inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| double_divide(inverse(double_divide(Y,X)),identity) = double_divide(Y,X) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(double_divide(Y,X)),identity))),bind(Y0,$fot(inverse(inverse(double_divide(Y,X))))),bind(Z0,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_645,plain,
( inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| double_divide(inverse(double_divide(Y,X)),identity) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),identity),inverse(inverse(double_divide(Y,X)))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
double_divide(inverse(double_divide(Y,X)),identity) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( double_divide(inverse(double_divide(Y,X)),identity) != double_divide(Y,X)
| double_divide(inverse(double_divide(Y,X)),identity) != inverse(multiply(X,Y))
| double_divide(Y,X) = inverse(multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),identity),inverse(multiply(X,Y))) ),[0],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_648,plain,
( double_divide(inverse(double_divide(Y,X)),identity) != inverse(multiply(X,Y))
| double_divide(Y,X) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),identity),double_divide(Y,X)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
double_divide(Y,X) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),identity),inverse(multiply(X,Y))) )],[refute_0_641,refute_0_648]) ).
cnf(refute_0_650,plain,
( double_divide(Y,X) != inverse(multiply(X,Y))
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(Y,X))),bind(Y0,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_651,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(Y,X),inverse(multiply(X,Y))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
inverse(multiply(X_55,double_divide(X_55,X_56))) = double_divide(double_divide(X_55,X_56),X_55),
inference(subst,[],[refute_0_651:[bind(X,$fot(X_55)),bind(Y,$fot(double_divide(X_55,X_56)))]]) ).
cnf(refute_0_653,plain,
double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) = inverse(multiply(X_55,double_divide(X_55,X_56))),
inference(subst,[],[refute_0_592:[bind(X_35,$fot(multiply(X_55,double_divide(X_55,X_56))))]]) ).
cnf(refute_0_654,plain,
( double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) != inverse(multiply(X_55,double_divide(X_55,X_56)))
| inverse(multiply(X_55,double_divide(X_55,X_56))) != double_divide(double_divide(X_55,X_56),X_55)
| double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) = double_divide(double_divide(X_55,X_56),X_55) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,multiply(X_55,double_divide(X_55,X_56))))),bind(Y0,$fot(inverse(multiply(X_55,double_divide(X_55,X_56))))),bind(Z0,$fot(double_divide(double_divide(X_55,X_56),X_55)))]]) ).
cnf(refute_0_655,plain,
( inverse(multiply(X_55,double_divide(X_55,X_56))) != double_divide(double_divide(X_55,X_56),X_55)
| double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) = double_divide(double_divide(X_55,X_56),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_55,double_divide(X_55,X_56))),inverse(multiply(X_55,double_divide(X_55,X_56)))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) = double_divide(double_divide(X_55,X_56),X_55),
inference(resolve,[$cnf( $equal(inverse(multiply(X_55,double_divide(X_55,X_56))),double_divide(double_divide(X_55,X_56),X_55)) )],[refute_0_652,refute_0_655]) ).
cnf(refute_0_657,plain,
inverse(inverse(X_36)) = X_36,
inference(subst,[],[refute_0_516:[bind(X_18,$fot(X_36))]]) ).
cnf(refute_0_658,plain,
( multiply(X_36,identity) != inverse(inverse(X_36))
| inverse(inverse(X_36)) != X_36
| multiply(X_36,identity) = X_36 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,identity),X_36) ),[0],$fot(inverse(inverse(X_36)))]]) ).
cnf(refute_0_659,plain,
( multiply(X_36,identity) != inverse(inverse(X_36))
| multiply(X_36,identity) = X_36 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_36)),X_36) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(X_36,identity) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,identity),inverse(inverse(X_36))) )],[refute_0_417,refute_0_659]) ).
cnf(refute_0_661,plain,
multiply(double_divide(X_55,X_56),identity) = double_divide(X_55,X_56),
inference(subst,[],[refute_0_660:[bind(X_36,$fot(double_divide(X_55,X_56)))]]) ).
cnf(refute_0_662,plain,
multiply(X_55,multiply(double_divide(X_55,X_56),identity)) = multiply(X_55,multiply(double_divide(X_55,X_56),identity)),
introduced(tautology,[refl,[$fot(multiply(X_55,multiply(double_divide(X_55,X_56),identity)))]]) ).
cnf(refute_0_663,plain,
( multiply(X_55,multiply(double_divide(X_55,X_56),identity)) != multiply(X_55,multiply(double_divide(X_55,X_56),identity))
| multiply(double_divide(X_55,X_56),identity) != double_divide(X_55,X_56)
| multiply(X_55,multiply(double_divide(X_55,X_56),identity)) = multiply(X_55,double_divide(X_55,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(double_divide(X_55,X_56),identity)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) ),[1,1],$fot(double_divide(X_55,X_56))]]) ).
cnf(refute_0_664,plain,
( multiply(double_divide(X_55,X_56),identity) != double_divide(X_55,X_56)
| multiply(X_55,multiply(double_divide(X_55,X_56),identity)) = multiply(X_55,double_divide(X_55,X_56)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(double_divide(X_55,X_56),identity)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
multiply(X_55,multiply(double_divide(X_55,X_56),identity)) = multiply(X_55,double_divide(X_55,X_56)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_55,X_56),identity),double_divide(X_55,X_56)) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))))]]) ).
cnf(refute_0_667,plain,
( multiply(X_55,multiply(double_divide(X_55,X_56),identity)) != multiply(X_55,double_divide(X_55,X_56))
| double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity)))
| double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity)))) ),[1,1],$fot(multiply(X_55,double_divide(X_55,X_56)))]]) ).
cnf(refute_0_668,plain,
( multiply(X_55,multiply(double_divide(X_55,X_56),identity)) != multiply(X_55,double_divide(X_55,X_56))
| double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(double_divide(X_55,X_56),identity)),multiply(X_55,double_divide(X_55,X_56))) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_671,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_672,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_673,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_675,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_670,refute_0_675]) ).
cnf(refute_0_677,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_678,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
double_divide(double_divide(Y,X),multiply(X,Y)) = identity,
inference(subst,[],[refute_0_678:[bind(X_2,$fot(X)),bind(X_3,$fot(Y))]]) ).
cnf(refute_0_680,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))))]]) ).
cnf(refute_0_681,plain,
( double_divide(double_divide(Y,X),multiply(X,Y)) != identity
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity)))
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_682,plain,
( double_divide(double_divide(Y,X),multiply(X,Y)) != identity
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity)))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),multiply(X,Y)),identity) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity)))
| double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))))),bind(Y0,$fot(double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))))),bind(Z0,$fot(double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))))]]) ).
cnf(refute_0_685,plain,
( double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity)))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(identity,multiply(X_55,double_divide(X_55,X_56))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))) )],[refute_0_669,refute_0_685]) ).
cnf(refute_0_687,plain,
( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))
| double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) != double_divide(double_divide(X_55,X_56),X_55)
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(double_divide(X_55,X_56),X_55) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))))),bind(Y0,$fot(double_divide(identity,multiply(X_55,double_divide(X_55,X_56))))),bind(Z0,$fot(double_divide(double_divide(X_55,X_56),X_55)))]]) ).
cnf(refute_0_688,plain,
( double_divide(identity,multiply(X_55,double_divide(X_55,X_56))) != double_divide(double_divide(X_55,X_56),X_55)
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(double_divide(X_55,X_56),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(identity,multiply(X_55,double_divide(X_55,X_56)))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) = double_divide(double_divide(X_55,X_56),X_55),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_55,double_divide(X_55,X_56))),double_divide(double_divide(X_55,X_56),X_55)) )],[refute_0_656,refute_0_688]) ).
cnf(refute_0_690,plain,
( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != X_56
| double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != double_divide(double_divide(X_55,X_56),X_55)
| double_divide(double_divide(X_55,X_56),X_55) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),X_56) ),[0],$fot(double_divide(double_divide(X_55,X_56),X_55))]]) ).
cnf(refute_0_691,plain,
( double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))) != X_56
| double_divide(double_divide(X_55,X_56),X_55) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),double_divide(double_divide(X_55,X_56),X_55)) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
double_divide(double_divide(X_55,X_56),X_55) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),multiply(X,Y)),multiply(X_55,multiply(double_divide(X_55,X_56),identity))),X_56) )],[refute_0_614,refute_0_691]) ).
cnf(refute_0_693,plain,
double_divide(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_20)) = multiply(X_11,X_20),
inference(subst,[],[refute_0_692:[bind(X_55,$fot(inverse(X_20))),bind(X_56,$fot(multiply(X_11,X_20)))]]) ).
cnf(refute_0_694,plain,
( double_divide(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_20)) != multiply(X_11,X_20)
| double_divide(inverse(X_20),multiply(X_11,X_20)) != inverse(X_11)
| double_divide(inverse(X_11),inverse(X_20)) = multiply(X_11,X_20) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_20)),multiply(X_11,X_20)) ),[0,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_695,plain,
( double_divide(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_20)) != multiply(X_11,X_20)
| double_divide(inverse(X_11),inverse(X_20)) = multiply(X_11,X_20) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_11)) )],[refute_0_637,refute_0_694]) ).
cnf(refute_0_696,plain,
double_divide(inverse(X_11),inverse(X_20)) = multiply(X_11,X_20),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_20)),multiply(X_11,X_20)) )],[refute_0_693,refute_0_695]) ).
cnf(refute_0_697,plain,
( multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),double_divide(inverse(X_11),inverse(X_20))) != X_71
| double_divide(inverse(X_11),inverse(X_20)) != multiply(X_11,X_20)
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = X_71 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),double_divide(inverse(X_11),inverse(X_20))),X_71) ),[0,1],$fot(multiply(X_11,X_20))]]) ).
cnf(refute_0_698,plain,
( multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),double_divide(inverse(X_11),inverse(X_20))) != X_71
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = X_71 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(X_20)),multiply(X_11,X_20)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = X_71,
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),double_divide(inverse(X_11),inverse(X_20))),X_71) )],[refute_0_547,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(X,double_divide(X,X_58)) = inverse(double_divide(double_divide(X,X_58),X)),
inference(subst,[],[refute_0_8:[bind(Y,$fot(double_divide(X,X_58)))]]) ).
cnf(refute_0_701,plain,
double_divide(double_divide(X,X_58),X) = X_58,
inference(subst,[],[refute_0_692:[bind(X_55,$fot(X)),bind(X_56,$fot(X_58))]]) ).
cnf(refute_0_702,plain,
( multiply(X,double_divide(X,X_58)) != inverse(double_divide(double_divide(X,X_58),X))
| double_divide(double_divide(X,X_58),X) != X_58
| multiply(X,double_divide(X,X_58)) = inverse(X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(X,X_58)),inverse(double_divide(double_divide(X,X_58),X))) ),[1,0],$fot(X_58)]]) ).
cnf(refute_0_703,plain,
( multiply(X,double_divide(X,X_58)) != inverse(double_divide(double_divide(X,X_58),X))
| multiply(X,double_divide(X,X_58)) = inverse(X_58) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_58),X),X_58) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(X,double_divide(X,X_58)) = inverse(X_58),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,X_58)),inverse(double_divide(double_divide(X,X_58),X))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(inverse(X_20),double_divide(inverse(X_20),multiply(X_11,X_20))) = inverse(multiply(X_11,X_20)),
inference(subst,[],[refute_0_704:[bind(X,$fot(inverse(X_20))),bind(X_58,$fot(multiply(X_11,X_20)))]]) ).
cnf(refute_0_706,plain,
( multiply(inverse(X_20),double_divide(inverse(X_20),multiply(X_11,X_20))) != inverse(multiply(X_11,X_20))
| double_divide(inverse(X_20),multiply(X_11,X_20)) != inverse(X_11)
| multiply(inverse(X_20),inverse(X_11)) = inverse(multiply(X_11,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_20),double_divide(inverse(X_20),multiply(X_11,X_20))),inverse(multiply(X_11,X_20))) ),[0,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_707,plain,
( multiply(inverse(X_20),double_divide(inverse(X_20),multiply(X_11,X_20))) != inverse(multiply(X_11,X_20))
| multiply(inverse(X_20),inverse(X_11)) = inverse(multiply(X_11,X_20)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_20),multiply(X_11,X_20)),inverse(X_11)) )],[refute_0_637,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(inverse(X_20),inverse(X_11)) = inverse(multiply(X_11,X_20)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),double_divide(inverse(X_20),multiply(X_11,X_20))),inverse(multiply(X_11,X_20))) )],[refute_0_705,refute_0_707]) ).
cnf(refute_0_709,plain,
inverse(multiply(X_11,X_20)) = double_divide(X_20,X_11),
inference(subst,[],[refute_0_651:[bind(X,$fot(X_11)),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_710,plain,
( multiply(inverse(X_20),inverse(X_11)) != inverse(multiply(X_11,X_20))
| inverse(multiply(X_11,X_20)) != double_divide(X_20,X_11)
| multiply(inverse(X_20),inverse(X_11)) = double_divide(X_20,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_20),inverse(X_11)),double_divide(X_20,X_11)) ),[0],$fot(inverse(multiply(X_11,X_20)))]]) ).
cnf(refute_0_711,plain,
( multiply(inverse(X_20),inverse(X_11)) != inverse(multiply(X_11,X_20))
| multiply(inverse(X_20),inverse(X_11)) = double_divide(X_20,X_11) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_11,X_20)),double_divide(X_20,X_11)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(inverse(X_20),inverse(X_11)) = double_divide(X_20,X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),inverse(X_11)),inverse(multiply(X_11,X_20))) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(X_71,multiply(inverse(X_20),inverse(X_11))) = multiply(X_71,multiply(inverse(X_20),inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(X_71,multiply(inverse(X_20),inverse(X_11))))]]) ).
cnf(refute_0_714,plain,
( multiply(X_71,multiply(inverse(X_20),inverse(X_11))) != multiply(X_71,multiply(inverse(X_20),inverse(X_11)))
| multiply(inverse(X_20),inverse(X_11)) != double_divide(X_20,X_11)
| multiply(X_71,multiply(inverse(X_20),inverse(X_11))) = multiply(X_71,double_divide(X_20,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_71,multiply(inverse(X_20),inverse(X_11)))) ),[1,1],$fot(double_divide(X_20,X_11))]]) ).
cnf(refute_0_715,plain,
( multiply(inverse(X_20),inverse(X_11)) != double_divide(X_20,X_11)
| multiply(X_71,multiply(inverse(X_20),inverse(X_11))) = multiply(X_71,double_divide(X_20,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_71,multiply(inverse(X_20),inverse(X_11)))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(X_71,multiply(inverse(X_20),inverse(X_11))) = multiply(X_71,double_divide(X_20,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),inverse(X_11)),double_divide(X_20,X_11)) )],[refute_0_712,refute_0_715]) ).
cnf(refute_0_717,plain,
multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)))]]) ).
cnf(refute_0_718,plain,
( multiply(X_71,multiply(inverse(X_20),inverse(X_11))) != multiply(X_71,double_divide(X_20,X_11))
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) != multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20))
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20))) ),[1,0],$fot(multiply(X_71,double_divide(X_20,X_11)))]]) ).
cnf(refute_0_719,plain,
( multiply(X_71,multiply(inverse(X_20),inverse(X_11))) != multiply(X_71,double_divide(X_20,X_11))
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) = multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)),
inference(resolve,[$cnf( $equal(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_71,double_divide(X_20,X_11))) )],[refute_0_716,refute_0_719]) ).
cnf(refute_0_721,plain,
( multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) != X_71
| multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) != multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20))
| multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)) = X_71 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),X_71) ),[0],$fot(multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)))]]) ).
cnf(refute_0_722,plain,
( multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)) != X_71
| multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)) = X_71 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(multiply(X_71,double_divide(X_20,X_11)),multiply(X_11,X_20)) = X_71,
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,multiply(inverse(X_20),inverse(X_11))),multiply(X_11,X_20)),X_71) )],[refute_0_699,refute_0_722]) ).
cnf(refute_0_724,plain,
multiply(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),multiply(X_11,multiply(X_95,X_71))) = X_71,
inference(subst,[],[refute_0_723:[bind(X_20,$fot(multiply(X_95,X_71)))]]) ).
cnf(refute_0_725,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))))) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),
inference(subst,[],[refute_0_55:[bind(Z,$fot(multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))]]) ).
cnf(refute_0_726,plain,
double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) = X_12,
inference(subst,[],[refute_0_55:[bind(X,$fot(Y)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_727,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))))) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) != X_12
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[0,1,1,1,1],$fot(X_12)]]) ).
cnf(refute_0_728,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))))) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
inference(resolve,[$cnf( $equal(double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))),X_12) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))))))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_725,refute_0_728]) ).
cnf(refute_0_730,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))))) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),
inference(subst,[],[refute_0_55:[bind(Z,$fot(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))]]) ).
cnf(refute_0_731,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))))) != inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))
| double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))) != X_18
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_18)))) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))))),inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))) ),[0,1,1,1,1],$fot(X_18)]]) ).
cnf(refute_0_732,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))))) != inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_18)))) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))),X_18) )],[refute_0_307,refute_0_731]) ).
cnf(refute_0_733,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_18)))) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity)),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),double_divide(Y,inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))))))),inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_18)),identity))) )],[refute_0_730,refute_0_732]) ).
cnf(refute_0_734,plain,
double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),
inference(subst,[],[refute_0_733:[bind(X_18,$fot(X_12))]]) ).
cnf(refute_0_735,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) != inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[0],$fot(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)))]]) ).
cnf(refute_0_736,plain,
( double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))),inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(Y,double_divide(identity,double_divide(inverse(X),X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_729,refute_0_736]) ).
cnf(refute_0_738,plain,
inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))) = multiply(double_divide(identity,X_12),inverse(Y)),
inference(subst,[],[refute_0_297:[bind(X,$fot(double_divide(identity,X_12))),bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_739,plain,
inverse(double_divide(inverse(Y),double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),inverse(Y)),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(identity,X_12))),bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_740,plain,
inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) = inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))))]]) ).
cnf(refute_0_741,plain,
( inverse(double_divide(inverse(Y),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),inverse(Y))
| inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) != inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12))))
| inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) = inverse(multiply(double_divide(identity,X_12),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))),inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12))))) ),[1,0],$fot(multiply(double_divide(identity,X_12),inverse(Y)))]]) ).
cnf(refute_0_742,plain,
( inverse(double_divide(inverse(Y),double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),inverse(Y))
| inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) = inverse(multiply(double_divide(identity,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))),inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12))))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) = inverse(multiply(double_divide(identity,X_12),inverse(Y))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(Y),double_divide(identity,X_12))),multiply(double_divide(identity,X_12),inverse(Y))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) = inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(double_divide(inverse(Y),double_divide(identity,X_12))))]]) ).
cnf(refute_0_745,plain,
( multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) != inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12))))
| inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) != inverse(multiply(double_divide(identity,X_12),inverse(Y)))
| multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) = inverse(multiply(double_divide(identity,X_12),inverse(Y))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))),bind(Y0,$fot(inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))))),bind(Z0,$fot(inverse(multiply(double_divide(identity,X_12),inverse(Y)))))]]) ).
cnf(refute_0_746,plain,
( inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))) != inverse(multiply(double_divide(identity,X_12),inverse(Y)))
| multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) = inverse(multiply(double_divide(identity,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity),inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12))))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) = inverse(multiply(double_divide(identity,X_12),inverse(Y))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(Y),double_divide(identity,X_12)))),inverse(multiply(double_divide(identity,X_12),inverse(Y)))) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)))]]) ).
cnf(refute_0_749,plain,
( multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) != inverse(multiply(double_divide(identity,X_12),inverse(Y)))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) != inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))) ),[1,0],$fot(inverse(multiply(double_divide(identity,X_12),inverse(Y))))]]) ).
cnf(refute_0_750,plain,
( multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity) != inverse(multiply(double_divide(identity,X_12),inverse(Y)))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity),inverse(multiply(double_divide(identity,X_12),inverse(Y)))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
( inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) != inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y))))
| inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))) != multiply(double_divide(identity,X_12),inverse(Y))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(double_divide(identity,X_12),inverse(Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)))),bind(Y0,$fot(inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))))),bind(Z0,$fot(multiply(double_divide(identity,X_12),inverse(Y))))]]) ).
cnf(refute_0_753,plain,
( inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))) != multiply(double_divide(identity,X_12),inverse(Y))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(double_divide(identity,X_12),inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y))))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) = multiply(double_divide(identity,X_12),inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_12),inverse(Y)))),multiply(double_divide(identity,X_12),inverse(Y))) )],[refute_0_738,refute_0_753]) ).
cnf(refute_0_755,plain,
( inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) != multiply(double_divide(identity,X_12),inverse(Y))
| multiply(double_divide(identity,X_12),inverse(Y)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[0],$fot(multiply(double_divide(identity,X_12),inverse(Y)))]]) ).
cnf(refute_0_756,plain,
( inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(double_divide(identity,X_12),inverse(Y)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),multiply(double_divide(identity,X_12),inverse(Y))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
multiply(double_divide(identity,X_12),inverse(Y)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(Y),double_divide(identity,X_12)),identity)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_737,refute_0_756]) ).
cnf(refute_0_758,plain,
double_divide(identity,X_12) = inverse(X_12),
inference(subst,[],[refute_0_592:[bind(X_35,$fot(X_12))]]) ).
cnf(refute_0_759,plain,
multiply(double_divide(identity,X_12),inverse(Y)) = multiply(double_divide(identity,X_12),inverse(Y)),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_12),inverse(Y)))]]) ).
cnf(refute_0_760,plain,
( multiply(double_divide(identity,X_12),inverse(Y)) != multiply(double_divide(identity,X_12),inverse(Y))
| double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),inverse(Y)) = multiply(inverse(X_12),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),inverse(Y)),multiply(double_divide(identity,X_12),inverse(Y))) ),[1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_761,plain,
( double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),inverse(Y)) = multiply(inverse(X_12),inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),inverse(Y)),multiply(double_divide(identity,X_12),inverse(Y))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
multiply(double_divide(identity,X_12),inverse(Y)) = multiply(inverse(X_12),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_758,refute_0_761]) ).
cnf(refute_0_763,plain,
( multiply(double_divide(identity,X_12),inverse(Y)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(double_divide(identity,X_12),inverse(Y)) != multiply(inverse(X_12),inverse(Y))
| multiply(inverse(X_12),inverse(Y)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),inverse(Y)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[0],$fot(multiply(inverse(X_12),inverse(Y)))]]) ).
cnf(refute_0_764,plain,
( multiply(double_divide(identity,X_12),inverse(Y)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(inverse(X_12),inverse(Y)) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),inverse(Y)),multiply(inverse(X_12),inverse(Y))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
inverse(double_divide(inverse(Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),inverse(Y)),
inference(subst,[],[refute_0_47:[bind(X,$fot(double_divide(X_11,X_12))),bind(Y,$fot(inverse(Y)))]]) ).
cnf(refute_0_766,plain,
double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) = inverse(double_divide(inverse(Y),double_divide(X_11,X_12))),
inference(subst,[],[refute_0_592:[bind(X_35,$fot(double_divide(inverse(Y),double_divide(X_11,X_12))))]]) ).
cnf(refute_0_767,plain,
( double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) != inverse(double_divide(inverse(Y),double_divide(X_11,X_12)))
| inverse(double_divide(inverse(Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),inverse(Y))
| double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),inverse(Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))),bind(Y0,$fot(inverse(double_divide(inverse(Y),double_divide(X_11,X_12))))),bind(Z0,$fot(multiply(double_divide(X_11,X_12),inverse(Y))))]]) ).
cnf(refute_0_768,plain,
( inverse(double_divide(inverse(Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),inverse(Y))
| double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))),inverse(double_divide(inverse(Y),double_divide(X_11,X_12)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) = multiply(double_divide(X_11,X_12),inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(Y),double_divide(X_11,X_12))),multiply(double_divide(X_11,X_12),inverse(Y))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) = multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))))]]) ).
cnf(refute_0_771,plain,
( multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),inverse(Y))
| multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[1,1],$fot(multiply(double_divide(X_11,X_12),inverse(Y)))]]) ).
cnf(refute_0_772,plain,
( double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))) != multiply(double_divide(X_11,X_12),inverse(Y))
| multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))),multiply(double_divide(X_11,X_12),inverse(Y))) )],[refute_0_769,refute_0_772]) ).
cnf(refute_0_774,plain,
( multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| multiply(inverse(X_12),inverse(Y)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(inverse(X_12),inverse(Y)) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_12),inverse(Y)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) ),[1],$fot(multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))))]]) ).
cnf(refute_0_775,plain,
( multiply(inverse(X_12),inverse(Y)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(inverse(X_12),inverse(Y)) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12)))),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
( multiply(double_divide(identity,X_12),inverse(Y)) != multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))
| multiply(inverse(X_12),inverse(Y)) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),inverse(Y)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_764,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(inverse(X_12),inverse(Y)) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),inverse(Y)),multiply(X_11,double_divide(identity,double_divide(inverse(Y),double_divide(X_11,X_12))))) )],[refute_0_757,refute_0_776]) ).
cnf(refute_0_778,plain,
multiply(inverse(X_12),inverse(Y)) = double_divide(X_12,Y),
inference(subst,[],[refute_0_712:[bind(X_11,$fot(Y)),bind(X_20,$fot(X_12))]]) ).
cnf(refute_0_779,plain,
( multiply(inverse(X_12),inverse(Y)) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| multiply(inverse(X_12),inverse(Y)) != double_divide(X_12,Y)
| double_divide(X_12,Y) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_12),inverse(Y)),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) ),[0],$fot(double_divide(X_12,Y))]]) ).
cnf(refute_0_780,plain,
( multiply(inverse(X_12),inverse(Y)) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| double_divide(X_12,Y) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),inverse(Y)),double_divide(X_12,Y)) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
double_divide(X_12,Y) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),inverse(Y)),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
multiply(X,double_divide(X,multiply(X_76,inverse(X)))) = inverse(multiply(X_76,inverse(X))),
inference(subst,[],[refute_0_704:[bind(X_58,$fot(multiply(X_76,inverse(X))))]]) ).
cnf(refute_0_783,plain,
double_divide(inverse(identity),double_divide(identity,X_18)) = double_divide(inverse(identity),double_divide(identity,X_18)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,X_18)))]]) ).
cnf(refute_0_784,plain,
( double_divide(inverse(identity),double_divide(identity,X_18)) != double_divide(inverse(identity),double_divide(identity,X_18))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(identity,X_18)) = double_divide(identity,double_divide(identity,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_18)),double_divide(inverse(identity),double_divide(identity,X_18))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_785,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(identity,X_18)) = double_divide(identity,double_divide(identity,X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_18)),double_divide(inverse(identity),double_divide(identity,X_18))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
double_divide(inverse(identity),double_divide(identity,X_18)) = double_divide(identity,double_divide(identity,X_18)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_242,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) = multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))]]) ).
cnf(refute_0_788,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) != multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)
| double_divide(inverse(identity),double_divide(identity,X_18)) != double_divide(identity,double_divide(identity,X_18))
| multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) = multiply(double_divide(identity,double_divide(identity,X_18)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity),multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) ),[1,0],$fot(double_divide(identity,double_divide(identity,X_18)))]]) ).
cnf(refute_0_789,plain,
( double_divide(inverse(identity),double_divide(identity,X_18)) != double_divide(identity,double_divide(identity,X_18))
| multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) = multiply(double_divide(identity,double_divide(identity,X_18)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity),multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) = multiply(double_divide(identity,double_divide(identity,X_18)),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,X_18)),double_divide(identity,double_divide(identity,X_18))) )],[refute_0_786,refute_0_789]) ).
cnf(refute_0_791,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) = inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))]]) ).
cnf(refute_0_792,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) != multiply(double_divide(identity,double_divide(identity,X_18)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) ),[1,0],$fot(multiply(double_divide(identity,double_divide(identity,X_18)),identity))]]) ).
cnf(refute_0_793,plain,
( multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity) != multiply(double_divide(identity,double_divide(identity,X_18)),identity)
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity),multiply(double_divide(identity,double_divide(identity,X_18)),identity)) )],[refute_0_790,refute_0_793]) ).
cnf(refute_0_795,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))
| inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)) != inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))) ),[0],$fot(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)))]]) ).
cnf(refute_0_796,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity)),inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(multiply(double_divide(inverse(identity),double_divide(identity,X_18)),identity))) )],[refute_0_213,refute_0_796]) ).
cnf(refute_0_798,plain,
inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) = inverse(X_18),
inference(subst,[],[refute_0_329:[bind(X_35,$fot(X_18))]]) ).
cnf(refute_0_799,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))
| inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)) != inverse(X_18)
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(X_18)) ),[0],$fot(inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)))]]) ).
cnf(refute_0_800,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity)),inverse(X_18)) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = inverse(X_18),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(multiply(double_divide(identity,double_divide(identity,X_18)),identity))) )],[refute_0_797,refute_0_800]) ).
cnf(refute_0_802,plain,
inverse(inverse(multiply(X_18,inverse(X_10)))) = multiply(X_18,inverse(X_10)),
inference(subst,[],[refute_0_297:[bind(X,$fot(X_18)),bind(Y,$fot(inverse(X_10)))]]) ).
cnf(refute_0_803,plain,
inverse(double_divide(inverse(X_10),X_18)) = multiply(X_18,inverse(X_10)),
inference(subst,[],[refute_0_47:[bind(X,$fot(X_18)),bind(Y,$fot(inverse(X_10)))]]) ).
cnf(refute_0_804,plain,
inverse(inverse(double_divide(inverse(X_10),X_18))) = inverse(inverse(double_divide(inverse(X_10),X_18))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(inverse(X_10),X_18))))]]) ).
cnf(refute_0_805,plain,
( inverse(double_divide(inverse(X_10),X_18)) != multiply(X_18,inverse(X_10))
| inverse(inverse(double_divide(inverse(X_10),X_18))) != inverse(inverse(double_divide(inverse(X_10),X_18)))
| inverse(inverse(double_divide(inverse(X_10),X_18))) = inverse(multiply(X_18,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_10),X_18))),inverse(inverse(double_divide(inverse(X_10),X_18)))) ),[1,0],$fot(multiply(X_18,inverse(X_10)))]]) ).
cnf(refute_0_806,plain,
( inverse(double_divide(inverse(X_10),X_18)) != multiply(X_18,inverse(X_10))
| inverse(inverse(double_divide(inverse(X_10),X_18))) = inverse(multiply(X_18,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_10),X_18))),inverse(inverse(double_divide(inverse(X_10),X_18)))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
inverse(inverse(double_divide(inverse(X_10),X_18))) = inverse(multiply(X_18,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_18)),multiply(X_18,inverse(X_10))) )],[refute_0_803,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(double_divide(inverse(X_10),X_18),identity) = inverse(inverse(double_divide(inverse(X_10),X_18))),
inference(subst,[],[refute_0_417:[bind(X_36,$fot(double_divide(inverse(X_10),X_18)))]]) ).
cnf(refute_0_809,plain,
( multiply(double_divide(inverse(X_10),X_18),identity) != inverse(inverse(double_divide(inverse(X_10),X_18)))
| inverse(inverse(double_divide(inverse(X_10),X_18))) != inverse(multiply(X_18,inverse(X_10)))
| multiply(double_divide(inverse(X_10),X_18),identity) = inverse(multiply(X_18,inverse(X_10))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(inverse(X_10),X_18),identity))),bind(Y0,$fot(inverse(inverse(double_divide(inverse(X_10),X_18))))),bind(Z0,$fot(inverse(multiply(X_18,inverse(X_10)))))]]) ).
cnf(refute_0_810,plain,
( inverse(inverse(double_divide(inverse(X_10),X_18))) != inverse(multiply(X_18,inverse(X_10)))
| multiply(double_divide(inverse(X_10),X_18),identity) = inverse(multiply(X_18,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_10),X_18),identity),inverse(inverse(double_divide(inverse(X_10),X_18)))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(double_divide(inverse(X_10),X_18),identity) = inverse(multiply(X_18,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(inverse(X_10),X_18))),inverse(multiply(X_18,inverse(X_10)))) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = inverse(multiply(double_divide(inverse(X_10),X_18),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(inverse(X_10),X_18),identity)))]]) ).
cnf(refute_0_813,plain,
( multiply(double_divide(inverse(X_10),X_18),identity) != inverse(multiply(X_18,inverse(X_10)))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) != inverse(multiply(double_divide(inverse(X_10),X_18),identity))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = inverse(inverse(multiply(X_18,inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_10),X_18),identity)),inverse(multiply(double_divide(inverse(X_10),X_18),identity))) ),[1,0],$fot(inverse(multiply(X_18,inverse(X_10))))]]) ).
cnf(refute_0_814,plain,
( multiply(double_divide(inverse(X_10),X_18),identity) != inverse(multiply(X_18,inverse(X_10)))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = inverse(inverse(multiply(X_18,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_10),X_18),identity)),inverse(multiply(double_divide(inverse(X_10),X_18),identity))) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = inverse(inverse(multiply(X_18,inverse(X_10)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_10),X_18),identity),inverse(multiply(X_18,inverse(X_10)))) )],[refute_0_811,refute_0_814]) ).
cnf(refute_0_816,plain,
( inverse(multiply(double_divide(inverse(X_10),X_18),identity)) != inverse(inverse(multiply(X_18,inverse(X_10))))
| inverse(inverse(multiply(X_18,inverse(X_10)))) != multiply(X_18,inverse(X_10))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = multiply(X_18,inverse(X_10)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(double_divide(inverse(X_10),X_18),identity)))),bind(Y0,$fot(inverse(inverse(multiply(X_18,inverse(X_10)))))),bind(Z0,$fot(multiply(X_18,inverse(X_10))))]]) ).
cnf(refute_0_817,plain,
( inverse(inverse(multiply(X_18,inverse(X_10)))) != multiply(X_18,inverse(X_10))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = multiply(X_18,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_10),X_18),identity)),inverse(inverse(multiply(X_18,inverse(X_10))))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
inverse(multiply(double_divide(inverse(X_10),X_18),identity)) = multiply(X_18,inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_18,inverse(X_10)))),multiply(X_18,inverse(X_10))) )],[refute_0_802,refute_0_817]) ).
cnf(refute_0_819,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),
introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))))]]) ).
cnf(refute_0_820,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity)))
| inverse(multiply(double_divide(inverse(X_10),X_18),identity)) != multiply(X_18,inverse(X_10))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = double_divide(X_10,multiply(X_18,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity)))) ),[1,1],$fot(multiply(X_18,inverse(X_10)))]]) ).
cnf(refute_0_821,plain,
( inverse(multiply(double_divide(inverse(X_10),X_18),identity)) != multiply(X_18,inverse(X_10))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = double_divide(X_10,multiply(X_18,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity)))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) = double_divide(X_10,multiply(X_18,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(inverse(X_10),X_18),identity)),multiply(X_18,inverse(X_10))) )],[refute_0_818,refute_0_821]) ).
cnf(refute_0_823,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != double_divide(X_10,multiply(X_18,inverse(X_10)))
| double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(X_18)
| double_divide(X_10,multiply(X_18,inverse(X_10))) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(X_18)) ),[0],$fot(double_divide(X_10,multiply(X_18,inverse(X_10))))]]) ).
cnf(refute_0_824,plain,
( double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))) != inverse(X_18)
| double_divide(X_10,multiply(X_18,inverse(X_10))) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),double_divide(X_10,multiply(X_18,inverse(X_10)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
double_divide(X_10,multiply(X_18,inverse(X_10))) = inverse(X_18),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(multiply(double_divide(inverse(X_10),X_18),identity))),inverse(X_18)) )],[refute_0_801,refute_0_824]) ).
cnf(refute_0_826,plain,
double_divide(X,multiply(X_76,inverse(X))) = inverse(X_76),
inference(subst,[],[refute_0_825:[bind(X_10,$fot(X)),bind(X_18,$fot(X_76))]]) ).
cnf(refute_0_827,plain,
( multiply(X,double_divide(X,multiply(X_76,inverse(X)))) != inverse(multiply(X_76,inverse(X)))
| double_divide(X,multiply(X_76,inverse(X))) != inverse(X_76)
| multiply(X,inverse(X_76)) = inverse(multiply(X_76,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(X,multiply(X_76,inverse(X)))),inverse(multiply(X_76,inverse(X)))) ),[0,1],$fot(inverse(X_76))]]) ).
cnf(refute_0_828,plain,
( multiply(X,double_divide(X,multiply(X_76,inverse(X)))) != inverse(multiply(X_76,inverse(X)))
| multiply(X,inverse(X_76)) = inverse(multiply(X_76,inverse(X))) ),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(X_76,inverse(X))),inverse(X_76)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
multiply(X,inverse(X_76)) = inverse(multiply(X_76,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(X,multiply(X_76,inverse(X)))),inverse(multiply(X_76,inverse(X)))) )],[refute_0_782,refute_0_828]) ).
cnf(refute_0_830,plain,
inverse(multiply(X_76,inverse(X))) = double_divide(inverse(X),X_76),
inference(subst,[],[refute_0_651:[bind(X,$fot(X_76)),bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_831,plain,
( multiply(X,inverse(X_76)) != inverse(multiply(X_76,inverse(X)))
| inverse(multiply(X_76,inverse(X))) != double_divide(inverse(X),X_76)
| multiply(X,inverse(X_76)) = double_divide(inverse(X),X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X_76)),double_divide(inverse(X),X_76)) ),[0],$fot(inverse(multiply(X_76,inverse(X))))]]) ).
cnf(refute_0_832,plain,
( multiply(X,inverse(X_76)) != inverse(multiply(X_76,inverse(X)))
| multiply(X,inverse(X_76)) = double_divide(inverse(X),X_76) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_76,inverse(X))),double_divide(inverse(X),X_76)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
multiply(X,inverse(X_76)) = double_divide(inverse(X),X_76),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_76)),inverse(multiply(X_76,inverse(X)))) )],[refute_0_829,refute_0_832]) ).
cnf(refute_0_834,plain,
multiply(double_divide(Y,X),inverse(X_78)) = double_divide(inverse(double_divide(Y,X)),X_78),
inference(subst,[],[refute_0_833:[bind(X,$fot(double_divide(Y,X))),bind(X_76,$fot(X_78))]]) ).
cnf(refute_0_835,plain,
( multiply(double_divide(Y,X),inverse(X_78)) != double_divide(inverse(double_divide(Y,X)),X_78)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(double_divide(Y,X),inverse(X_78)) = double_divide(multiply(X,Y),X_78) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_78)),double_divide(inverse(double_divide(Y,X)),X_78)) ),[1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_836,plain,
( multiply(double_divide(Y,X),inverse(X_78)) != double_divide(inverse(double_divide(Y,X)),X_78)
| multiply(double_divide(Y,X),inverse(X_78)) = double_divide(multiply(X,Y),X_78) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_47,refute_0_835]) ).
cnf(refute_0_837,plain,
multiply(double_divide(Y,X),inverse(X_78)) = double_divide(multiply(X,Y),X_78),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),inverse(X_78)),double_divide(inverse(double_divide(Y,X)),X_78)) )],[refute_0_834,refute_0_836]) ).
cnf(refute_0_838,plain,
multiply(double_divide(X_11,X_12),inverse(Y)) = double_divide(multiply(X_12,X_11),Y),
inference(subst,[],[refute_0_837:[bind(X,$fot(X_12)),bind(Y,$fot(X_11)),bind(X_78,$fot(Y))]]) ).
cnf(refute_0_839,plain,
multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) = multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))))]]) ).
cnf(refute_0_840,plain,
( multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| multiply(double_divide(X_11,X_12),inverse(Y)) != double_divide(multiply(X_12,X_11),Y)
| multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) ),[1,1],$fot(double_divide(multiply(X_12,X_11),Y))]]) ).
cnf(refute_0_841,plain,
( multiply(double_divide(X_11,X_12),inverse(Y)) != double_divide(multiply(X_12,X_11),Y)
| multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_11,X_12),inverse(Y)),double_divide(multiply(X_12,X_11),Y)) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
( multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))) != multiply(X_11,double_divide(multiply(X_12,X_11),Y))
| double_divide(X_12,Y) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| double_divide(X_12,Y) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,Y),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) ),[1],$fot(multiply(X_11,double_divide(multiply(X_12,X_11),Y)))]]) ).
cnf(refute_0_844,plain,
( double_divide(X_12,Y) != multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))
| double_divide(X_12,Y) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y))),multiply(X_11,double_divide(multiply(X_12,X_11),Y))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
double_divide(X_12,Y) = multiply(X_11,double_divide(multiply(X_12,X_11),Y)),
inference(resolve,[$cnf( $equal(double_divide(X_12,Y),multiply(X_11,multiply(double_divide(X_11,X_12),inverse(Y)))) )],[refute_0_781,refute_0_844]) ).
cnf(refute_0_846,plain,
double_divide(X_95,X_11) = multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),
inference(subst,[],[refute_0_845:[bind(Y,$fot(X_11)),bind(X_11,$fot(X_71)),bind(X_12,$fot(X_95))]]) ).
cnf(refute_0_847,plain,
( double_divide(X_95,X_11) != multiply(X_71,double_divide(multiply(X_95,X_71),X_11))
| multiply(X_71,double_divide(multiply(X_95,X_71),X_11)) = double_divide(X_95,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_95,X_11))),bind(Y0,$fot(multiply(X_71,double_divide(multiply(X_95,X_71),X_11))))]]) ).
cnf(refute_0_848,plain,
multiply(X_71,double_divide(multiply(X_95,X_71),X_11)) = double_divide(X_95,X_11),
inference(resolve,[$cnf( $equal(double_divide(X_95,X_11),multiply(X_71,double_divide(multiply(X_95,X_71),X_11))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
( multiply(X_71,double_divide(multiply(X_95,X_71),X_11)) != double_divide(X_95,X_11)
| multiply(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),multiply(X_11,multiply(X_95,X_71))) != X_71
| multiply(double_divide(X_95,X_11),multiply(X_11,multiply(X_95,X_71))) = X_71 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),multiply(X_11,multiply(X_95,X_71))),X_71) ),[0,0],$fot(double_divide(X_95,X_11))]]) ).
cnf(refute_0_850,plain,
( multiply(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),multiply(X_11,multiply(X_95,X_71))) != X_71
| multiply(double_divide(X_95,X_11),multiply(X_11,multiply(X_95,X_71))) = X_71 ),
inference(resolve,[$cnf( $equal(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),double_divide(X_95,X_11)) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(double_divide(X_95,X_11),multiply(X_11,multiply(X_95,X_71))) = X_71,
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,double_divide(multiply(X_95,X_71),X_11)),multiply(X_11,multiply(X_95,X_71))),X_71) )],[refute_0_724,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))))) = multiply(X_102,multiply(X_104,X_103)),
inference(subst,[],[refute_0_851:[bind(X_71,$fot(multiply(X_102,multiply(X_104,X_103)))),bind(X_95,$fot(double_divide(X_104,X_102)))]]) ).
cnf(refute_0_853,plain,
multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))) = X_103,
inference(subst,[],[refute_0_851:[bind(X_11,$fot(X_102)),bind(X_71,$fot(X_103)),bind(X_95,$fot(X_104))]]) ).
cnf(refute_0_854,plain,
( multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))) != X_103
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))))) != multiply(X_102,multiply(X_104,X_103))
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(X_102,multiply(X_104,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))))),multiply(X_102,multiply(X_104,X_103))) ),[0,1,1],$fot(X_103)]]) ).
cnf(refute_0_855,plain,
( multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))))) != multiply(X_102,multiply(X_104,X_103))
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(X_102,multiply(X_104,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))),X_103) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(X_102,multiply(X_104,X_103)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,X_103))))),multiply(X_102,multiply(X_104,X_103))) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
inverse(double_divide(X_104,X_102)) = multiply(X_102,X_104),
inference(subst,[],[refute_0_47:[bind(X,$fot(X_102)),bind(Y,$fot(X_104))]]) ).
cnf(refute_0_858,plain,
multiply(inverse(double_divide(X_104,X_102)),X_103) = multiply(inverse(double_divide(X_104,X_102)),X_103),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_104,X_102)),X_103))]]) ).
cnf(refute_0_859,plain,
( multiply(inverse(double_divide(X_104,X_102)),X_103) != multiply(inverse(double_divide(X_104,X_102)),X_103)
| inverse(double_divide(X_104,X_102)) != multiply(X_102,X_104)
| multiply(inverse(double_divide(X_104,X_102)),X_103) = multiply(multiply(X_102,X_104),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_104,X_102)),X_103),multiply(inverse(double_divide(X_104,X_102)),X_103)) ),[1,0],$fot(multiply(X_102,X_104))]]) ).
cnf(refute_0_860,plain,
( inverse(double_divide(X_104,X_102)) != multiply(X_102,X_104)
| multiply(inverse(double_divide(X_104,X_102)),X_103) = multiply(multiply(X_102,X_104),X_103) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_104,X_102)),X_103),multiply(inverse(double_divide(X_104,X_102)),X_103)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
multiply(inverse(double_divide(X_104,X_102)),X_103) = multiply(multiply(X_102,X_104),X_103),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_104,X_102)),multiply(X_102,X_104)) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,multiply(inverse(X_104),X_56)))) = multiply(inverse(X_104),X_56),
inference(subst,[],[refute_0_851:[bind(X_11,$fot(X_102)),bind(X_71,$fot(multiply(inverse(X_104),X_56))),bind(X_95,$fot(X_104))]]) ).
cnf(refute_0_863,plain,
double_divide(double_divide(double_divide(X_56,X_58),X_56),double_divide(X_56,X_58)) = X_56,
inference(subst,[],[refute_0_692:[bind(X_55,$fot(double_divide(X_56,X_58)))]]) ).
cnf(refute_0_864,plain,
double_divide(double_divide(X_56,X_58),X_56) = X_58,
inference(subst,[],[refute_0_692:[bind(X_55,$fot(X_56)),bind(X_56,$fot(X_58))]]) ).
cnf(refute_0_865,plain,
( double_divide(double_divide(X_56,X_58),X_56) != X_58
| double_divide(double_divide(double_divide(X_56,X_58),X_56),double_divide(X_56,X_58)) != X_56
| double_divide(X_58,double_divide(X_56,X_58)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_56,X_58),X_56),double_divide(X_56,X_58)),X_56) ),[0,0],$fot(X_58)]]) ).
cnf(refute_0_866,plain,
( double_divide(double_divide(double_divide(X_56,X_58),X_56),double_divide(X_56,X_58)) != X_56
| double_divide(X_58,double_divide(X_56,X_58)) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_56,X_58),X_56),X_58) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
double_divide(X_58,double_divide(X_56,X_58)) = X_56,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_56,X_58),X_56),double_divide(X_56,X_58)),X_56) )],[refute_0_863,refute_0_866]) ).
cnf(refute_0_868,plain,
double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) = X_56,
inference(subst,[],[refute_0_867:[bind(X_58,$fot(inverse(X_77)))]]) ).
cnf(refute_0_869,plain,
multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))),
inference(subst,[],[refute_0_833:[bind(X,$fot(X_77)),bind(X_76,$fot(double_divide(X_56,inverse(X_77))))]]) ).
cnf(refute_0_870,plain,
( multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) != double_divide(inverse(X_77),double_divide(X_56,inverse(X_77)))
| double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) = multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))))),bind(Y0,$fot(double_divide(inverse(X_77),double_divide(X_56,inverse(X_77)))))]]) ).
cnf(refute_0_871,plain,
double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) = multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),double_divide(inverse(X_77),double_divide(X_56,inverse(X_77)))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
( double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) != X_56
| double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) != multiply(X_77,inverse(double_divide(X_56,inverse(X_77))))
| multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))),X_56) ),[0],$fot(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))))]]) ).
cnf(refute_0_873,plain,
( double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))) != X_56
| multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = X_56 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))),multiply(X_77,inverse(double_divide(X_56,inverse(X_77))))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = X_56,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_77),double_divide(X_56,inverse(X_77))),X_56) )],[refute_0_868,refute_0_873]) ).
cnf(refute_0_875,plain,
inverse(double_divide(X_56,inverse(X_77))) = multiply(inverse(X_77),X_56),
inference(subst,[],[refute_0_47:[bind(X,$fot(inverse(X_77))),bind(Y,$fot(X_56))]]) ).
cnf(refute_0_876,plain,
multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),
introduced(tautology,[refl,[$fot(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))))]]) ).
cnf(refute_0_877,plain,
( multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) != multiply(X_77,inverse(double_divide(X_56,inverse(X_77))))
| inverse(double_divide(X_56,inverse(X_77))) != multiply(inverse(X_77),X_56)
| multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = multiply(X_77,multiply(inverse(X_77),X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),multiply(X_77,inverse(double_divide(X_56,inverse(X_77))))) ),[1,1],$fot(multiply(inverse(X_77),X_56))]]) ).
cnf(refute_0_878,plain,
( inverse(double_divide(X_56,inverse(X_77))) != multiply(inverse(X_77),X_56)
| multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = multiply(X_77,multiply(inverse(X_77),X_56)) ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),multiply(X_77,inverse(double_divide(X_56,inverse(X_77))))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) = multiply(X_77,multiply(inverse(X_77),X_56)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_56,inverse(X_77))),multiply(inverse(X_77),X_56)) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
( multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) != X_56
| multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) != multiply(X_77,multiply(inverse(X_77),X_56))
| multiply(X_77,multiply(inverse(X_77),X_56)) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),X_56) ),[0],$fot(multiply(X_77,multiply(inverse(X_77),X_56)))]]) ).
cnf(refute_0_881,plain,
( multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))) != X_56
| multiply(X_77,multiply(inverse(X_77),X_56)) = X_56 ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),multiply(X_77,multiply(inverse(X_77),X_56))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
multiply(X_77,multiply(inverse(X_77),X_56)) = X_56,
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(double_divide(X_56,inverse(X_77)))),X_56) )],[refute_0_874,refute_0_881]) ).
cnf(refute_0_883,plain,
multiply(X_104,multiply(inverse(X_104),X_56)) = X_56,
inference(subst,[],[refute_0_882:[bind(X_77,$fot(X_104))]]) ).
cnf(refute_0_884,plain,
( multiply(X_104,multiply(inverse(X_104),X_56)) != X_56
| multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,multiply(inverse(X_104),X_56)))) != multiply(inverse(X_104),X_56)
| multiply(double_divide(X_104,X_102),multiply(X_102,X_56)) = multiply(inverse(X_104),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,multiply(inverse(X_104),X_56)))),multiply(inverse(X_104),X_56)) ),[0,1,1],$fot(X_56)]]) ).
cnf(refute_0_885,plain,
( multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,multiply(inverse(X_104),X_56)))) != multiply(inverse(X_104),X_56)
| multiply(double_divide(X_104,X_102),multiply(X_102,X_56)) = multiply(inverse(X_104),X_56) ),
inference(resolve,[$cnf( $equal(multiply(X_104,multiply(inverse(X_104),X_56)),X_56) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
multiply(double_divide(X_104,X_102),multiply(X_102,X_56)) = multiply(inverse(X_104),X_56),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_104,X_102),multiply(X_102,multiply(X_104,multiply(inverse(X_104),X_56)))),multiply(inverse(X_104),X_56)) )],[refute_0_862,refute_0_885]) ).
cnf(refute_0_887,plain,
multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(inverse(double_divide(X_104,X_102)),X_103),
inference(subst,[],[refute_0_886:[bind(X_102,$fot(X_11)),bind(X_104,$fot(double_divide(X_104,X_102))),bind(X_56,$fot(X_103))]]) ).
cnf(refute_0_888,plain,
( multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) != multiply(inverse(double_divide(X_104,X_102)),X_103)
| multiply(inverse(double_divide(X_104,X_102)),X_103) != multiply(multiply(X_102,X_104),X_103)
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(multiply(X_102,X_104),X_103) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)))),bind(Y0,$fot(multiply(inverse(double_divide(X_104,X_102)),X_103))),bind(Z0,$fot(multiply(multiply(X_102,X_104),X_103)))]]) ).
cnf(refute_0_889,plain,
( multiply(inverse(double_divide(X_104,X_102)),X_103) != multiply(multiply(X_102,X_104),X_103)
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(multiply(X_102,X_104),X_103) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)),multiply(inverse(double_divide(X_104,X_102)),X_103)) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) = multiply(multiply(X_102,X_104),X_103),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_104,X_102)),X_103),multiply(multiply(X_102,X_104),X_103)) )],[refute_0_861,refute_0_889]) ).
cnf(refute_0_891,plain,
( multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) != multiply(X_102,multiply(X_104,X_103))
| multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) != multiply(multiply(X_102,X_104),X_103)
| multiply(multiply(X_102,X_104),X_103) = multiply(X_102,multiply(X_104,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)),multiply(X_102,multiply(X_104,X_103))) ),[0],$fot(multiply(multiply(X_102,X_104),X_103))]]) ).
cnf(refute_0_892,plain,
( multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)) != multiply(X_102,multiply(X_104,X_103))
| multiply(multiply(X_102,X_104),X_103) = multiply(X_102,multiply(X_104,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)),multiply(multiply(X_102,X_104),X_103)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(multiply(X_102,X_104),X_103) = multiply(X_102,multiply(X_104,X_103)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_104,X_102),X_11),multiply(X_11,X_103)),multiply(X_102,multiply(X_104,X_103))) )],[refute_0_856,refute_0_892]) ).
cnf(refute_0_894,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_893:[bind(X_102,$fot(a3)),bind(X_103,$fot(c3)),bind(X_104,$fot(b3))]]) ).
cnf(refute_0_895,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != 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(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_896,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_896,refute_0_522]) ).
cnf(refute_0_898,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_899,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_898,refute_0_897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP077-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 02:59:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.42/0.59
%------------------------------------------------------------------------------