TSTP Solution File: GRP102-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP102-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:34:46 EDT 2022
% Result : Unsatisfiable 0.55s 0.74s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 169
% Number of leaves : 260
% Syntax : Number of clauses : 1081 ( 532 unt; 0 nHn; 550 RR)
% Number of literals : 1890 (1889 equ; 818 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 2103 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = double_divide(double_divide(Y,X),identity) ).
cnf(inverse,axiom,
inverse(X) = double_divide(X,identity) ).
cnf(identity,axiom,
identity = double_divide(X,inverse(X)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(X) != double_divide(X,identity)
| double_divide(X,identity) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(double_divide(X,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(X,identity) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),double_divide(X,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(Y,X),identity) = inverse(double_divide(Y,X)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_6,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| double_divide(double_divide(Y,X),identity) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[0],$fot(double_divide(double_divide(Y,X),identity))]]) ).
cnf(refute_0_7,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),identity),inverse(double_divide(Y,X))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_10,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_12,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_14,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| multiply(inverse(X_3),X_3) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(X,$fot(identity))]]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)))]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_19,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
double_divide(Y,identity) = inverse(Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)))]]) ).
cnf(refute_0_23,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))
| double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_24,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) = double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),
introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))))]]) ).
cnf(refute_0_27,plain,
( double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)))
| double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))
| double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)))) ),[1,1],$fot(double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)))]]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)) != double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))
| double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))) ),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) = double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity)),double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_31,plain,
( double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))))]]) ).
cnf(refute_0_32,plain,
( double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))) != double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y)))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_35,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_34]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)))),bind(Y0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)))),bind(Z0,$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))))]]) ).
cnf(refute_0_37,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))) )],[refute_0_20,refute_0_37]) ).
cnf(refute_0_39,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) != Z
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),Z) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)))]]) ).
cnf(refute_0_40,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) != Z
| double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)),Z) )],[single_axiom,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_43,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_44,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_45,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_47,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(multiply(identity,X_11),inverse(X_11)),
inference(subst,[],[refute_0_48:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(multiply(identity,X_11),inverse(X_11))))]]) ).
cnf(refute_0_50,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) = identity,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_51,plain,
inverse(double_divide(X_11,X_10)) = double_divide(double_divide(X_11,X_10),identity),
inference(subst,[],[inverse:[bind(X,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_52,plain,
( inverse(double_divide(X_11,X_10)) != double_divide(double_divide(X_11,X_10),identity)
| double_divide(double_divide(X_11,X_10),identity) = inverse(double_divide(X_11,X_10)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(double_divide(X_11,X_10)))),bind(Y0,$fot(double_divide(double_divide(X_11,X_10),identity)))]]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_11,X_10),identity) = inverse(double_divide(X_11,X_10)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),double_divide(double_divide(X_11,X_10),identity)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_11,X_10),identity) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)),identity) ),[0,0,1,0],$fot(inverse(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_55,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_10),identity),inverse(double_divide(X_11,X_10))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)),identity) )],[refute_0_50,refute_0_55]) ).
cnf(refute_0_57,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_58,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(double_divide(X_11,X_10)) = multiply(X_10,X_11),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_10)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_60,plain,
double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))]]) ).
cnf(refute_0_61,plain,
( double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))
| inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) ),[1,0],$fot(multiply(X_10,X_11))]]) ).
cnf(refute_0_62,plain,
( inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),multiply(X_10,X_11)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))))]]) ).
cnf(refute_0_65,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(multiply(X_10,X_11),inverse(X_11))
| double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))) ),[1,1],$fot(double_divide(multiply(X_10,X_11),inverse(X_11)))]]) ).
cnf(refute_0_66,plain,
( double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(multiply(X_10,X_11),inverse(X_11))
| double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(multiply(X_10,X_11),inverse(X_11))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_69,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))))]]) ).
cnf(refute_0_70,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_73,plain,
( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),identity) )],[refute_0_56,refute_0_73]) ).
cnf(refute_0_75,plain,
double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity)) = identity,
inference(subst,[],[refute_0_74:[bind(X_10,$fot(identity))]]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(multiply(identity,X_11),inverse(X_11))
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(multiply(identity,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(multiply(identity,X_11),inverse(X_11))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_77,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(multiply(identity,X_11),inverse(X_11))
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(multiply(identity,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity)),identity) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(multiply(identity,X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(multiply(identity,X_11),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(multiply(identity,X_11),inverse(X_11))) )],[refute_0_49,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_80,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(double_divide(X_11,X_10))))]]) ).
cnf(refute_0_81,plain,
identity = double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_82,plain,
( identity != double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))
| double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_83,plain,
double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_85,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),identity) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) ),[0],$fot(inverse(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_88,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),multiply(X_10,X_11)) )],[refute_0_59,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) )],[refute_0_86,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(double_divide(X_15,double_divide(identity,inverse(identity))),inverse(identity)) = multiply(X_15,identity),
inference(subst,[],[refute_0_89:[bind(X_10,$fot(X_15)),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_91,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_92,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_93,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(X_15,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(X_15,identity)
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(X_15,identity),inverse(identity)) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_15,double_divide(identity,inverse(identity))),inverse(identity)),multiply(X_15,identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_95,plain,
( double_divide(double_divide(X_15,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(X_15,identity)
| double_divide(double_divide(X_15,identity),inverse(identity)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(double_divide(X_15,identity),inverse(identity)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,double_divide(identity,inverse(identity))),inverse(identity)),multiply(X_15,identity)) )],[refute_0_90,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(X_15,identity) = inverse(X_15),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(X_15,identity),inverse(identity)) = double_divide(double_divide(X_15,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_15,identity),inverse(identity)))]]) ).
cnf(refute_0_99,plain,
( double_divide(X_15,identity) != inverse(X_15)
| double_divide(double_divide(X_15,identity),inverse(identity)) != double_divide(double_divide(X_15,identity),inverse(identity))
| double_divide(double_divide(X_15,identity),inverse(identity)) = double_divide(inverse(X_15),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_15,identity),inverse(identity)),double_divide(double_divide(X_15,identity),inverse(identity))) ),[1,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_100,plain,
( double_divide(X_15,identity) != inverse(X_15)
| double_divide(double_divide(X_15,identity),inverse(identity)) = double_divide(inverse(X_15),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,identity),inverse(identity)),double_divide(double_divide(X_15,identity),inverse(identity))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(double_divide(X_15,identity),inverse(identity)) = double_divide(inverse(X_15),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_15,identity),inverse(X_15)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
( double_divide(double_divide(X_15,identity),inverse(identity)) != multiply(X_15,identity)
| double_divide(double_divide(X_15,identity),inverse(identity)) != double_divide(inverse(X_15),inverse(identity))
| double_divide(inverse(X_15),inverse(identity)) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_15,identity),inverse(identity)),multiply(X_15,identity)) ),[0],$fot(double_divide(inverse(X_15),inverse(identity)))]]) ).
cnf(refute_0_103,plain,
( double_divide(double_divide(X_15,identity),inverse(identity)) != multiply(X_15,identity)
| double_divide(inverse(X_15),inverse(identity)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,identity),inverse(identity)),double_divide(inverse(X_15),inverse(identity))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(inverse(X_15),inverse(identity)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,identity),inverse(identity)),multiply(X_15,identity)) )],[refute_0_96,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = multiply(inverse(identity),identity),
inference(subst,[],[refute_0_104:[bind(X_15,$fot(inverse(identity)))]]) ).
cnf(refute_0_106,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| double_divide(inverse(inverse(identity)),inverse(identity)) != multiply(inverse(identity),identity)
| double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(inverse(identity)),inverse(identity)))),bind(Y0,$fot(multiply(inverse(identity),identity))),bind(Z0,$fot(inverse(identity)))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),multiply(inverse(identity),identity)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_79,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(inverse(identity),identity) = inverse(inverse(identity)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_110,plain,
double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),identity),inverse(identity)))]]) ).
cnf(refute_0_111,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != double_divide(double_divide(inverse(identity),identity),inverse(identity))
| double_divide(inverse(identity),identity) != inverse(inverse(identity))
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),double_divide(double_divide(inverse(identity),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_112,plain,
( double_divide(inverse(identity),identity) != inverse(inverse(identity))
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),double_divide(double_divide(inverse(identity),identity),inverse(identity))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(inverse(identity),identity),inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != double_divide(inverse(inverse(identity)),inverse(identity))
| double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(identity),identity),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(inverse(identity)),inverse(identity)))),bind(Z0,$fot(inverse(identity)))]]) ).
cnf(refute_0_115,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),double_divide(inverse(inverse(identity)),inverse(identity))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(double_divide(inverse(identity),identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_108,refute_0_115]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != double_divide(multiply(identity,X_11),inverse(X_11))
| double_divide(double_divide(inverse(identity),identity),inverse(identity)) != inverse(identity)
| inverse(identity) = double_divide(multiply(identity,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),double_divide(multiply(identity,X_11),inverse(X_11))) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != double_divide(multiply(identity,X_11),inverse(X_11))
| inverse(identity) = double_divide(multiply(identity,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),inverse(identity)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_120,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_121,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_122,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_124,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_119,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(identity,X_11) = inverse(inverse(X_11)),
inference(subst,[],[refute_0_125:[bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_127,plain,
double_divide(multiply(identity,X_11),inverse(X_11)) = double_divide(multiply(identity,X_11),inverse(X_11)),
introduced(tautology,[refl,[$fot(double_divide(multiply(identity,X_11),inverse(X_11)))]]) ).
cnf(refute_0_128,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| double_divide(multiply(identity,X_11),inverse(X_11)) != double_divide(multiply(identity,X_11),inverse(X_11))
| double_divide(multiply(identity,X_11),inverse(X_11)) = double_divide(inverse(inverse(X_11)),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(identity,X_11),inverse(X_11)),double_divide(multiply(identity,X_11),inverse(X_11))) ),[1,0],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_129,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| double_divide(multiply(identity,X_11),inverse(X_11)) = double_divide(inverse(inverse(X_11)),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_11),inverse(X_11)),double_divide(multiply(identity,X_11),inverse(X_11))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(multiply(identity,X_11),inverse(X_11)) = double_divide(inverse(inverse(X_11)),inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),inverse(inverse(X_11))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
( double_divide(multiply(identity,X_11),inverse(X_11)) != double_divide(inverse(inverse(X_11)),inverse(X_11))
| inverse(identity) != double_divide(multiply(identity,X_11),inverse(X_11))
| inverse(identity) = double_divide(inverse(inverse(X_11)),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(identity),double_divide(multiply(identity,X_11),inverse(X_11))) ),[1],$fot(double_divide(inverse(inverse(X_11)),inverse(X_11)))]]) ).
cnf(refute_0_132,plain,
( inverse(identity) != double_divide(multiply(identity,X_11),inverse(X_11))
| inverse(identity) = double_divide(inverse(inverse(X_11)),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(identity,X_11),inverse(X_11)),double_divide(inverse(inverse(X_11)),inverse(X_11))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != double_divide(multiply(identity,X_11),inverse(X_11))
| inverse(identity) = double_divide(inverse(inverse(X_11)),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(identity),double_divide(multiply(identity,X_11),inverse(X_11))) )],[refute_0_118,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(identity) = double_divide(inverse(inverse(X_11)),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),double_divide(multiply(identity,X_11),inverse(X_11))) )],[refute_0_78,refute_0_133]) ).
cnf(refute_0_135,plain,
inverse(identity) = double_divide(inverse(inverse(inverse(identity))),inverse(inverse(identity))),
inference(subst,[],[refute_0_134:[bind(X_11,$fot(inverse(identity)))]]) ).
cnf(refute_0_136,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_11,identity),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_137,plain,
inverse(X_11) = double_divide(X_11,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_138,plain,
( inverse(X_11) != double_divide(X_11,identity)
| double_divide(X_11,identity) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_11))),bind(Y0,$fot(double_divide(X_11,identity)))]]) ).
cnf(refute_0_139,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_11,identity)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_11,identity),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_11,identity),X_12),inverse(X_11))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_141,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_11,identity),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_11,identity),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_136,refute_0_141]) ).
cnf(refute_0_143,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)),
inference(subst,[],[refute_0_142:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(multiply(inverse(identity),X_11),inverse(X_11))))]]) ).
cnf(refute_0_144,plain,
double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity)) = identity,
inference(subst,[],[refute_0_74:[bind(X_10,$fot(inverse(identity)))]]) ).
cnf(refute_0_145,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(multiply(inverse(identity),X_11),inverse(X_11))
| double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(multiply(inverse(identity),X_11),inverse(X_11))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_146,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(multiply(inverse(identity),X_11),inverse(X_11))
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity)),identity) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(multiply(inverse(identity),X_11),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(multiply(inverse(identity),X_11),inverse(X_11))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(identity,identity) = inverse(inverse(identity)),
inference(subst,[],[refute_0_125:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_149,plain,
double_divide(inverse(identity),inverse(identity)) = multiply(identity,identity),
inference(subst,[],[refute_0_104:[bind(X_15,$fot(identity))]]) ).
cnf(refute_0_150,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| double_divide(inverse(identity),inverse(identity)) != multiply(identity,identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(identity),inverse(identity)))),bind(Y0,$fot(multiply(identity,identity))),bind(Z0,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_151,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),multiply(identity,identity)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(double_divide(identity,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(identity)))]]) ).
cnf(refute_0_154,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(double_divide(identity,identity),inverse(identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_155,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_155]) ).
cnf(refute_0_157,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(inverse(identity),inverse(identity))
| double_divide(inverse(identity),inverse(identity)) != inverse(inverse(identity))
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,identity),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(identity),inverse(identity)))),bind(Z0,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_158,plain,
( double_divide(inverse(identity),inverse(identity)) != inverse(inverse(identity))
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(inverse(identity))) )],[refute_0_152,refute_0_158]) ).
cnf(refute_0_160,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(multiply(inverse(identity),X_11),inverse(X_11))
| double_divide(double_divide(identity,identity),inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(multiply(inverse(identity),X_11),inverse(X_11))) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_161,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(multiply(inverse(identity),X_11),inverse(X_11))
| inverse(inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(inverse(identity))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(inverse(identity)) = double_divide(multiply(inverse(identity),X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(multiply(inverse(identity),X_11),inverse(X_11))) )],[refute_0_147,refute_0_161]) ).
cnf(refute_0_163,plain,
inverse(inverse(identity)) = double_divide(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity)))),
inference(subst,[],[refute_0_162:[bind(X_11,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_164,plain,
multiply(inverse(X_24),inverse(inverse(X_24))) = inverse(double_divide(inverse(inverse(X_24)),inverse(X_24))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_24))),bind(Y,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_165,plain,
inverse(identity) = double_divide(inverse(inverse(X_24)),inverse(X_24)),
inference(subst,[],[refute_0_134:[bind(X_11,$fot(X_24))]]) ).
cnf(refute_0_166,plain,
( inverse(identity) != double_divide(inverse(inverse(X_24)),inverse(X_24))
| double_divide(inverse(inverse(X_24)),inverse(X_24)) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(double_divide(inverse(inverse(X_24)),inverse(X_24))))]]) ).
cnf(refute_0_167,plain,
double_divide(inverse(inverse(X_24)),inverse(X_24)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),double_divide(inverse(inverse(X_24)),inverse(X_24))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( multiply(inverse(X_24),inverse(inverse(X_24))) != inverse(double_divide(inverse(inverse(X_24)),inverse(X_24)))
| double_divide(inverse(inverse(X_24)),inverse(X_24)) != inverse(identity)
| multiply(inverse(X_24),inverse(inverse(X_24))) = inverse(inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_24),inverse(inverse(X_24))),inverse(double_divide(inverse(inverse(X_24)),inverse(X_24)))) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(X_24),inverse(inverse(X_24))) != inverse(double_divide(inverse(inverse(X_24)),inverse(X_24)))
| multiply(inverse(X_24),inverse(inverse(X_24))) = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_24)),inverse(X_24)),inverse(identity)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(inverse(X_24),inverse(inverse(X_24))) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),inverse(inverse(X_24))),inverse(double_divide(inverse(inverse(X_24)),inverse(X_24)))) )],[refute_0_164,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(identity)),
inference(subst,[],[refute_0_170:[bind(X_24,$fot(identity))]]) ).
cnf(refute_0_172,plain,
( multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(identity))
| inverse(inverse(identity)) != double_divide(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity))))
| inverse(inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),double_divide(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity))))) ),[1,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_173,plain,
( inverse(inverse(identity)) != double_divide(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity))))
| inverse(inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(identity))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(inverse(identity)) = double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity))))) )],[refute_0_163,refute_0_173]) ).
cnf(refute_0_175,plain,
( identity != double_divide(X,inverse(X))
| double_divide(X,inverse(X)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X,inverse(X))))]]) ).
cnf(refute_0_176,plain,
double_divide(X,inverse(X)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X,inverse(X))) )],[identity,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))) = identity,
inference(subst,[],[refute_0_176:[bind(X,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_178,plain,
( double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))) != identity
| inverse(inverse(identity)) != double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity))))
| inverse(inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity))))) ),[1],$fot(identity)]]) ).
cnf(refute_0_179,plain,
( inverse(inverse(identity)) != double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity))))
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity)))),identity) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(inverse(identity)),inverse(inverse(inverse(identity))))) )],[refute_0_174,refute_0_179]) ).
cnf(refute_0_181,plain,
( inverse(identity) != double_divide(inverse(inverse(inverse(identity))),inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| inverse(identity) = double_divide(inverse(identity),inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(identity),double_divide(inverse(inverse(inverse(identity))),inverse(inverse(identity)))) ),[1,0,0],$fot(identity)]]) ).
cnf(refute_0_182,plain,
( inverse(identity) != double_divide(inverse(inverse(inverse(identity))),inverse(inverse(identity)))
| inverse(identity) = double_divide(inverse(identity),inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(identity) = double_divide(inverse(identity),inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(inverse(identity),double_divide(inverse(inverse(inverse(identity))),inverse(inverse(identity)))) )],[refute_0_135,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(inverse(identity),inverse(inverse(identity))) = identity,
inference(subst,[],[refute_0_176:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_185,plain,
( double_divide(inverse(identity),inverse(inverse(identity))) != identity
| inverse(identity) != double_divide(inverse(identity),inverse(inverse(identity)))
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))) ),[1],$fot(identity)]]) ).
cnf(refute_0_186,plain,
( inverse(identity) != double_divide(inverse(identity),inverse(inverse(identity)))
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(identity))),identity) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_189,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(subst,[],[refute_0_58:[bind(X,$fot(double_divide(identity,inverse(X_11)))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_192,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_10,double_divide(identity,inverse(X_11)))))]]) ).
cnf(refute_0_193,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != inverse(double_divide(X_10,double_divide(identity,inverse(X_11))))
| inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))))),bind(Z0,$fot(multiply(double_divide(identity,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_194,plain,
( inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),inverse(double_divide(X_10,double_divide(identity,inverse(X_11))))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_197,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_198,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_198]) ).
cnf(refute_0_200,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity))),bind(Z0,$fot(multiply(double_divide(identity,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_201,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_195,refute_0_201]) ).
cnf(refute_0_203,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(X_10,X_11)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(double_divide(identity,inverse(X_11)),X_10)
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) ),[0],$fot(multiply(double_divide(identity,inverse(X_11)),X_10))]]) ).
cnf(refute_0_204,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(X_10,X_11)
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) )],[refute_0_89,refute_0_204]) ).
cnf(refute_0_206,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(X_11)),
inference(subst,[],[refute_0_142:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_207,plain,
double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(inverse(identity),X_11),
inference(subst,[],[refute_0_89:[bind(X_10,$fot(inverse(identity)))]]) ).
cnf(refute_0_208,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(inverse(identity),X_11)
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_11))) ),[0,0,1],$fot(multiply(inverse(identity),X_11))]]) ).
cnf(refute_0_209,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity)),multiply(inverse(identity),X_11)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_11))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_17),inverse(identity)),Z),inverse(inverse(X_17)))),inverse(identity)) = Z,
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(X_17)))]]) ).
cnf(refute_0_212,plain,
double_divide(inverse(X_17),inverse(identity)) = multiply(X_17,identity),
inference(subst,[],[refute_0_104:[bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_213,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_17),inverse(identity)),Z),inverse(inverse(X_17)))),inverse(identity)) != Z
| double_divide(inverse(X_17),inverse(identity)) != multiply(X_17,identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_17),inverse(identity)),Z),inverse(inverse(X_17)))),inverse(identity)),Z) ),[0,0,1,0,0],$fot(multiply(X_17,identity))]]) ).
cnf(refute_0_214,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_17),inverse(identity)),Z),inverse(inverse(X_17)))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = Z ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),multiply(X_17,identity)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_17),inverse(identity)),Z),inverse(inverse(X_17)))),inverse(identity)),Z) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(identity)))),inverse(identity)) = multiply(X_10,inverse(identity)),
inference(subst,[],[refute_0_89:[bind(X_11,$fot(inverse(identity)))]]) ).
cnf(refute_0_217,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(identity)))),inverse(identity)) != multiply(X_10,inverse(identity))
| inverse(inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(identity)))),inverse(identity)),multiply(X_10,inverse(identity))) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_218,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(identity)))),inverse(identity)) != multiply(X_10,inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_180,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(identity)))),inverse(identity)),multiply(X_10,inverse(identity))) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(inverse(X_10),identity) = inverse(inverse(X_10)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_221,plain,
double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_10),inverse(identity)))]]) ).
cnf(refute_0_222,plain,
( double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_223,plain,
( inverse(identity) != identity
| double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_226,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,$fot(identity))]]) ).
cnf(refute_0_227,plain,
( inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_226]) ).
cnf(refute_0_228,plain,
double_divide(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_227]) ).
cnf(refute_0_229,plain,
double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(identity,identity)))]]) ).
cnf(refute_0_230,plain,
( double_divide(X_10,double_divide(identity,identity)) != double_divide(X_10,double_divide(identity,identity))
| double_divide(identity,identity) != identity
| double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,double_divide(identity,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_231,plain,
( double_divide(identity,identity) != identity
| double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,double_divide(identity,identity))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
( double_divide(X_10,double_divide(identity,identity)) != double_divide(X_10,identity)
| double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,double_divide(identity,identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(X_10,double_divide(identity,identity)))),bind(Y0,$fot(double_divide(X_10,identity))),bind(Z0,$fot(inverse(X_10)))]]) ).
cnf(refute_0_234,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,double_divide(identity,identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,identity)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(X_10,double_divide(identity,identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_225,refute_0_234]) ).
cnf(refute_0_236,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_237,plain,
( double_divide(X_10,double_divide(identity,identity)) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_238,plain,
( double_divide(X_10,double_divide(identity,identity)) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),inverse(X_10)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(inverse(X_10),inverse(identity))
| double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_10),inverse(identity)))),bind(Z0,$fot(double_divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_241,plain,
( double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),identity)) )],[refute_0_224,refute_0_241]) ).
cnf(refute_0_243,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_10),identity))),bind(Z0,$fot(inverse(inverse(X_10))))]]) ).
cnf(refute_0_244,plain,
( double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(inverse(X_10),identity)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),identity),inverse(inverse(X_10))) )],[refute_0_220,refute_0_244]) ).
cnf(refute_0_246,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(X_10))
| inverse(inverse(X_10)) = multiply(X_10,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),multiply(X_10,inverse(identity))) ),[0],$fot(inverse(inverse(X_10)))]]) ).
cnf(refute_0_247,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(identity))
| inverse(inverse(X_10)) = multiply(X_10,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),inverse(inverse(X_10))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(X_10,inverse(identity)) = multiply(X_10,inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(identity)))]]) ).
cnf(refute_0_249,plain,
( multiply(X_10,inverse(identity)) != multiply(X_10,inverse(identity))
| inverse(identity) != identity
| multiply(X_10,inverse(identity)) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(identity)),multiply(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_250,plain,
( inverse(identity) != identity
| multiply(X_10,inverse(identity)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(identity)),multiply(X_10,inverse(identity))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(X_10,inverse(identity)) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_250]) ).
cnf(refute_0_252,plain,
( multiply(X_10,inverse(identity)) != multiply(X_10,identity)
| inverse(inverse(X_10)) != multiply(X_10,inverse(identity))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,inverse(identity))) ),[1],$fot(multiply(X_10,identity))]]) ).
cnf(refute_0_253,plain,
( inverse(inverse(X_10)) != multiply(X_10,inverse(identity))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(identity)),multiply(X_10,identity)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(identity))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,inverse(identity))) )],[refute_0_247,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(inverse(X_10)) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),multiply(X_10,inverse(identity))) )],[refute_0_219,refute_0_254]) ).
cnf(refute_0_256,plain,
( inverse(inverse(X_10)) != multiply(X_10,identity)
| multiply(X_10,identity) = inverse(inverse(X_10)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_10)))),bind(Y0,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_257,plain,
multiply(X_10,identity) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(inverse(inverse(Z)),identity) = inverse(inverse(inverse(inverse(Z)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_259,plain,
inverse(double_divide(identity,inverse(inverse(Z)))) = multiply(inverse(inverse(Z)),identity),
inference(subst,[],[refute_0_58:[bind(X,$fot(inverse(inverse(Z)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_260,plain,
( multiply(inverse(inverse(Z)),identity) != inverse(inverse(inverse(inverse(Z))))
| inverse(double_divide(identity,inverse(inverse(Z)))) != multiply(inverse(inverse(Z)),identity)
| inverse(double_divide(identity,inverse(inverse(Z)))) = inverse(inverse(inverse(inverse(Z)))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(identity,inverse(inverse(Z)))))),bind(Y0,$fot(multiply(inverse(inverse(Z)),identity))),bind(Z0,$fot(inverse(inverse(inverse(inverse(Z))))))]]) ).
cnf(refute_0_261,plain,
( multiply(inverse(inverse(Z)),identity) != inverse(inverse(inverse(inverse(Z))))
| inverse(double_divide(identity,inverse(inverse(Z)))) = inverse(inverse(inverse(inverse(Z)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(Z)))),multiply(inverse(inverse(Z)),identity)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(double_divide(identity,inverse(inverse(Z)))) = inverse(inverse(inverse(inverse(Z)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Z)),identity),inverse(inverse(inverse(inverse(Z))))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(double_divide(identity,inverse(inverse(Z))),identity) = inverse(double_divide(identity,inverse(inverse(Z)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,inverse(inverse(Z)))))]]) ).
cnf(refute_0_264,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),identity) != inverse(double_divide(identity,inverse(inverse(Z))))
| inverse(double_divide(identity,inverse(inverse(Z)))) != inverse(inverse(inverse(inverse(Z))))
| double_divide(double_divide(identity,inverse(inverse(Z))),identity) = inverse(inverse(inverse(inverse(Z)))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,inverse(inverse(Z))),identity))),bind(Y0,$fot(inverse(double_divide(identity,inverse(inverse(Z)))))),bind(Z0,$fot(inverse(inverse(inverse(inverse(Z))))))]]) ).
cnf(refute_0_265,plain,
( inverse(double_divide(identity,inverse(inverse(Z)))) != inverse(inverse(inverse(inverse(Z))))
| double_divide(double_divide(identity,inverse(inverse(Z))),identity) = inverse(inverse(inverse(inverse(Z)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(Z))),identity),inverse(double_divide(identity,inverse(inverse(Z))))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(double_divide(identity,inverse(inverse(Z))),identity) = inverse(inverse(inverse(inverse(Z)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(Z)))),inverse(inverse(inverse(inverse(Z))))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)))]]) ).
cnf(refute_0_268,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_269,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(Z,identity) = inverse(inverse(Z)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(Z))]]) ).
cnf(refute_0_272,plain,
inverse(double_divide(identity,Z)) = multiply(Z,identity),
inference(subst,[],[refute_0_58:[bind(X,$fot(Z)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_273,plain,
( multiply(Z,identity) != inverse(inverse(Z))
| inverse(double_divide(identity,Z)) != multiply(Z,identity)
| inverse(double_divide(identity,Z)) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(identity,Z)))),bind(Y0,$fot(multiply(Z,identity))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_274,plain,
( multiply(Z,identity) != inverse(inverse(Z))
| inverse(double_divide(identity,Z)) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,Z)),multiply(Z,identity)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(double_divide(identity,Z)) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(multiply(Z,identity),inverse(inverse(Z))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
double_divide(double_divide(identity,Z),identity) = inverse(double_divide(identity,Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,Z)))]]) ).
cnf(refute_0_277,plain,
( double_divide(double_divide(identity,Z),identity) != inverse(double_divide(identity,Z))
| inverse(double_divide(identity,Z)) != inverse(inverse(Z))
| double_divide(double_divide(identity,Z),identity) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,Z),identity))),bind(Y0,$fot(inverse(double_divide(identity,Z)))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_278,plain,
( inverse(double_divide(identity,Z)) != inverse(inverse(Z))
| double_divide(double_divide(identity,Z),identity) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),identity),inverse(double_divide(identity,Z))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
double_divide(double_divide(identity,Z),identity) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,Z)),inverse(inverse(Z))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(identity,Z),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,Z),inverse(identity)))]]) ).
cnf(refute_0_281,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(identity,Z),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(identity,Z),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_282,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(identity,Z),inverse(identity))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(inverse(identity),Z) = double_divide(inverse(identity),Z),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),Z))]]) ).
cnf(refute_0_285,plain,
( double_divide(inverse(identity),Z) != double_divide(inverse(identity),Z)
| inverse(identity) != identity
| double_divide(inverse(identity),Z) = double_divide(identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),Z),double_divide(inverse(identity),Z)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_286,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),Z) = double_divide(identity,Z) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),Z),double_divide(inverse(identity),Z)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
double_divide(inverse(identity),Z) = double_divide(identity,Z),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_286]) ).
cnf(refute_0_288,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(inverse(identity),Z),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),Z),inverse(identity)))]]) ).
cnf(refute_0_289,plain,
( double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(inverse(identity),Z),inverse(identity))
| double_divide(inverse(identity),Z) != double_divide(identity,Z)
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(inverse(identity),Z),inverse(identity))) ),[1,0],$fot(double_divide(identity,Z))]]) ).
cnf(refute_0_290,plain,
( double_divide(inverse(identity),Z) != double_divide(identity,Z)
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(inverse(identity),Z),inverse(identity))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),Z),double_divide(identity,Z)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(identity,Z),identity)
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(identity,Z),inverse(identity))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(identity),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,Z),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,Z),identity)))]]) ).
cnf(refute_0_293,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(identity,Z),identity)
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(identity,Z),inverse(identity))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(identity,Z),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(identity,Z),identity)) )],[refute_0_283,refute_0_293]) ).
cnf(refute_0_295,plain,
( double_divide(double_divide(identity,Z),identity) != inverse(inverse(Z))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(identity,Z),identity)
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(identity),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,Z),identity))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_296,plain,
( double_divide(double_divide(identity,Z),identity) != inverse(inverse(Z))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(identity,Z),identity)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),identity),inverse(inverse(Z))) )],[refute_0_279,refute_0_296]) ).
cnf(refute_0_298,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),
inference(subst,[],[refute_0_48:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))))]]) ).
cnf(refute_0_299,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity)) = Z,
inference(subst,[],[refute_0_41:[bind(X,$fot(identity))]]) ).
cnf(refute_0_300,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_301,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity)),Z) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(double_divide(Y,identity),Z) = double_divide(double_divide(Y,identity),Z),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,identity),Z))]]) ).
cnf(refute_0_304,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(double_divide(Y,identity),Z) != double_divide(double_divide(Y,identity),Z)
| double_divide(double_divide(Y,identity),Z) = double_divide(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,identity),Z),double_divide(double_divide(Y,identity),Z)) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_305,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(double_divide(Y,identity),Z) = double_divide(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,identity),Z),double_divide(double_divide(Y,identity),Z)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(double_divide(Y,identity),Z) = double_divide(inverse(Y),Z),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_21,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) = double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)))]]) ).
cnf(refute_0_308,plain,
( double_divide(double_divide(Y,identity),Z) != double_divide(inverse(Y),Z)
| double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) != double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))
| double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) ),[1,0],$fot(double_divide(inverse(Y),Z))]]) ).
cnf(refute_0_309,plain,
( double_divide(double_divide(Y,identity),Z) != double_divide(inverse(Y),Z)
| double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,identity),Z),double_divide(inverse(Y),Z)) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)) != double_divide(double_divide(inverse(Y),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) ),[1],$fot(double_divide(double_divide(inverse(Y),Z),inverse(Y)))]]) ).
cnf(refute_0_312,plain,
( double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y)),double_divide(double_divide(inverse(Y),Z),inverse(Y))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
double_divide(double_divide(inverse(identity),Z),inverse(identity)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(double_divide(Y,identity),Z),inverse(Y))) )],[refute_0_302,refute_0_312]) ).
cnf(refute_0_314,plain,
( double_divide(double_divide(inverse(identity),Z),inverse(identity)) != double_divide(double_divide(inverse(Y),Z),inverse(Y))
| double_divide(double_divide(inverse(Y),Z),inverse(Y)) = double_divide(double_divide(inverse(identity),Z),inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(double_divide(inverse(identity),Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(Y),Z),inverse(Y))))]]) ).
cnf(refute_0_315,plain,
double_divide(double_divide(inverse(Y),Z),inverse(Y)) = double_divide(double_divide(inverse(identity),Z),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),double_divide(double_divide(inverse(Y),Z),inverse(Y))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) = double_divide(double_divide(inverse(identity),Z),inverse(identity)),
inference(subst,[],[refute_0_315:[bind(Y,$fot(inverse(X_17)))]]) ).
cnf(refute_0_317,plain,
( double_divide(double_divide(inverse(identity),Z),inverse(identity)) != inverse(inverse(Z))
| double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) != double_divide(double_divide(inverse(identity),Z),inverse(identity))
| double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))))),bind(Y0,$fot(double_divide(double_divide(inverse(identity),Z),inverse(identity)))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_318,plain,
( double_divide(double_divide(inverse(identity),Z),inverse(identity)) != inverse(inverse(Z))
| double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))),double_divide(double_divide(inverse(identity),Z),inverse(identity))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),Z),inverse(identity)),inverse(inverse(Z))) )],[refute_0_297,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(X_17,identity) = inverse(inverse(X_17)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_17))]]) ).
cnf(refute_0_321,plain,
double_divide(multiply(X_17,identity),Z) = double_divide(multiply(X_17,identity),Z),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_17,identity),Z))]]) ).
cnf(refute_0_322,plain,
( multiply(X_17,identity) != inverse(inverse(X_17))
| double_divide(multiply(X_17,identity),Z) != double_divide(multiply(X_17,identity),Z)
| double_divide(multiply(X_17,identity),Z) = double_divide(inverse(inverse(X_17)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_17,identity),Z),double_divide(multiply(X_17,identity),Z)) ),[1,0],$fot(inverse(inverse(X_17)))]]) ).
cnf(refute_0_323,plain,
( multiply(X_17,identity) != inverse(inverse(X_17))
| double_divide(multiply(X_17,identity),Z) = double_divide(inverse(inverse(X_17)),Z) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_17,identity),Z),double_divide(multiply(X_17,identity),Z)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(multiply(X_17,identity),Z) = double_divide(inverse(inverse(X_17)),Z),
inference(resolve,[$cnf( $equal(multiply(X_17,identity),inverse(inverse(X_17))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))]]) ).
cnf(refute_0_326,plain,
( double_divide(multiply(X_17,identity),Z) != double_divide(inverse(inverse(X_17)),Z)
| double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) != double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))
| double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) ),[1,0],$fot(double_divide(inverse(inverse(X_17)),Z))]]) ).
cnf(refute_0_327,plain,
( double_divide(multiply(X_17,identity),Z) != double_divide(inverse(inverse(X_17)),Z)
| double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_17,identity),Z),double_divide(inverse(inverse(X_17)),Z)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
( double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) != double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17)))
| double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) != inverse(inverse(Z))
| double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))),bind(Y0,$fot(double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_330,plain,
( double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))) != inverse(inverse(Z))
| double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))),double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_17)),Z),inverse(inverse(X_17))),inverse(inverse(Z))) )],[refute_0_319,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))))]]) ).
cnf(refute_0_333,plain,
( double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) != inverse(inverse(Z))
| double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))
| double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))) ),[1,1],$fot(inverse(inverse(Z)))]]) ).
cnf(refute_0_334,plain,
( double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))) != inverse(inverse(Z))
| double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))),inverse(inverse(Z))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))))]]) ).
cnf(refute_0_337,plain,
( double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_338,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_338]) ).
cnf(refute_0_340,plain,
( double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,inverse(inverse(Z)))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))))),bind(Y0,$fot(double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))))),bind(Z0,$fot(double_divide(identity,inverse(inverse(Z)))))]]) ).
cnf(refute_0_341,plain,
( double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,inverse(inverse(Z)))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) = double_divide(identity,inverse(inverse(Z))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(identity,inverse(inverse(Z)))) )],[refute_0_335,refute_0_341]) ).
cnf(refute_0_343,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)))]]) ).
cnf(refute_0_344,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,inverse(inverse(Z)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(Z))))]]) ).
cnf(refute_0_345,plain,
( double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))) != double_divide(identity,inverse(inverse(Z)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),double_divide(identity,inverse(inverse(Z)))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(Z))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,inverse(inverse(Z))),identity)))]]) ).
cnf(refute_0_348,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(Z))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(Z))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(Z))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(Z))),identity)) )],[refute_0_270,refute_0_348]) ).
cnf(refute_0_350,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),identity) != inverse(inverse(inverse(inverse(Z))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(Z))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = inverse(inverse(inverse(inverse(Z)))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(inverse(Z))),identity))),bind(Z0,$fot(inverse(inverse(inverse(inverse(Z))))))]]) ).
cnf(refute_0_351,plain,
( double_divide(double_divide(identity,inverse(inverse(Z))),identity) != inverse(inverse(inverse(inverse(Z))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = inverse(inverse(inverse(inverse(Z)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(Z))),identity)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) = inverse(inverse(inverse(inverse(Z)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(Z))),identity),inverse(inverse(inverse(inverse(Z))))) )],[refute_0_266,refute_0_351]) ).
cnf(refute_0_353,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != Z
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != inverse(inverse(inverse(inverse(Z))))
| inverse(inverse(inverse(inverse(Z)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),Z) ),[0],$fot(inverse(inverse(inverse(inverse(Z)))))]]) ).
cnf(refute_0_354,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)) != Z
| inverse(inverse(inverse(inverse(Z)))) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),inverse(inverse(inverse(inverse(Z))))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
inverse(inverse(inverse(inverse(Z)))) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_17,identity),Z),inverse(inverse(X_17)))),inverse(identity)),Z) )],[refute_0_215,refute_0_354]) ).
cnf(refute_0_356,plain,
inverse(inverse(inverse(inverse(X_11)))) = X_11,
inference(subst,[],[refute_0_355:[bind(Z,$fot(X_11))]]) ).
cnf(refute_0_357,plain,
multiply(inverse(inverse(X_11)),identity) = inverse(inverse(inverse(inverse(X_11)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(inverse(inverse(X_11))))]]) ).
cnf(refute_0_358,plain,
( multiply(inverse(inverse(X_11)),identity) != inverse(inverse(inverse(inverse(X_11))))
| inverse(inverse(inverse(inverse(X_11)))) != X_11
| multiply(inverse(inverse(X_11)),identity) = X_11 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(inverse(X_11)),identity))),bind(Y0,$fot(inverse(inverse(inverse(inverse(X_11)))))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_359,plain,
( inverse(inverse(inverse(inverse(X_11)))) != X_11
| multiply(inverse(inverse(X_11)),identity) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),identity),inverse(inverse(inverse(inverse(X_11))))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(inverse(inverse(X_11)),identity) = X_11,
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_11)))),X_11) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
inverse(double_divide(identity,inverse(inverse(X_11)))) = multiply(inverse(inverse(X_11)),identity),
inference(subst,[],[refute_0_58:[bind(X,$fot(inverse(inverse(X_11)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_362,plain,
( multiply(inverse(inverse(X_11)),identity) != X_11
| inverse(double_divide(identity,inverse(inverse(X_11)))) != multiply(inverse(inverse(X_11)),identity)
| inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(identity,inverse(inverse(X_11)))))),bind(Y0,$fot(multiply(inverse(inverse(X_11)),identity))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_363,plain,
( multiply(inverse(inverse(X_11)),identity) != X_11
| inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_11)))),multiply(inverse(inverse(X_11)),identity)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),identity),X_11) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = inverse(double_divide(identity,inverse(inverse(X_11)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,inverse(inverse(X_11)))))]]) ).
cnf(refute_0_366,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != inverse(double_divide(identity,inverse(inverse(X_11))))
| inverse(double_divide(identity,inverse(inverse(X_11)))) != X_11
| double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity))),bind(Y0,$fot(inverse(double_divide(identity,inverse(inverse(X_11)))))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_367,plain,
( inverse(double_divide(identity,inverse(inverse(X_11)))) != X_11
| double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),identity),inverse(double_divide(identity,inverse(inverse(X_11))))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11,
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_11)))),X_11) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_370,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_371,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(inverse(identity),X_11) = multiply(inverse(identity),X_11),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),X_11))]]) ).
cnf(refute_0_374,plain,
( multiply(inverse(identity),X_11) != multiply(inverse(identity),X_11)
| inverse(identity) != identity
| multiply(inverse(identity),X_11) = multiply(identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),X_11),multiply(inverse(identity),X_11)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_375,plain,
( inverse(identity) != identity
| multiply(inverse(identity),X_11) = multiply(identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_11),multiply(inverse(identity),X_11)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(inverse(identity),X_11) = multiply(identity,X_11),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_375]) ).
cnf(refute_0_377,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| multiply(inverse(identity),X_11) != multiply(identity,X_11)
| multiply(inverse(identity),X_11) = inverse(inverse(X_11)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),X_11))),bind(Y0,$fot(multiply(identity,X_11))),bind(Z0,$fot(inverse(inverse(X_11))))]]) ).
cnf(refute_0_378,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| multiply(inverse(identity),X_11) = inverse(inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_11),multiply(identity,X_11)) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(inverse(identity),X_11) = inverse(inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),inverse(inverse(X_11))) )],[refute_0_126,refute_0_378]) ).
cnf(refute_0_380,plain,
double_divide(identity,multiply(inverse(identity),X_11)) = double_divide(identity,multiply(inverse(identity),X_11)),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(inverse(identity),X_11)))]]) ).
cnf(refute_0_381,plain,
( multiply(inverse(identity),X_11) != inverse(inverse(X_11))
| double_divide(identity,multiply(inverse(identity),X_11)) != double_divide(identity,multiply(inverse(identity),X_11))
| double_divide(identity,multiply(inverse(identity),X_11)) = double_divide(identity,inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_11)),double_divide(identity,multiply(inverse(identity),X_11))) ),[1,1],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_382,plain,
( multiply(inverse(identity),X_11) != inverse(inverse(X_11))
| double_divide(identity,multiply(inverse(identity),X_11)) = double_divide(identity,inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_11)),double_divide(identity,multiply(inverse(identity),X_11))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
double_divide(identity,multiply(inverse(identity),X_11)) = double_divide(identity,inverse(inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),X_11),inverse(inverse(X_11))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)))]]) ).
cnf(refute_0_385,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity))
| double_divide(identity,multiply(inverse(identity),X_11)) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(X_11))))]]) ).
cnf(refute_0_386,plain,
( double_divide(identity,multiply(inverse(identity),X_11)) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(inverse(identity),X_11)),double_divide(identity,inverse(inverse(X_11)))) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))
| double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity)))]]) ).
cnf(refute_0_389,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),identity)) )],[refute_0_372,refute_0_389]) ).
cnf(refute_0_391,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != X_11
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = X_11 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_392,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != X_11
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),identity)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),identity),X_11) )],[refute_0_368,refute_0_392]) ).
cnf(refute_0_394,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != X_11
| double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != double_divide(identity,inverse(X_11))
| X_11 = double_divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(identity,inverse(X_11))) ),[0],$fot(X_11)]]) ).
cnf(refute_0_395,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)) != double_divide(identity,inverse(X_11))
| X_11 = double_divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),X_11) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
X_11 = double_divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),X_11)),inverse(identity)),double_divide(identity,inverse(X_11))) )],[refute_0_210,refute_0_395]) ).
cnf(refute_0_397,plain,
( X_11 != double_divide(identity,inverse(X_11))
| double_divide(identity,inverse(X_11)) = X_11 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_11)),bind(Y0,$fot(double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_398,plain,
double_divide(identity,inverse(X_11)) = X_11,
inference(resolve,[$cnf( $equal(X_11,double_divide(identity,inverse(X_11))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(double_divide(identity,inverse(X_11)),X_10),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(X_11)),X_10))]]) ).
cnf(refute_0_400,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(identity,inverse(X_11)) != X_11
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(double_divide(identity,inverse(X_11)),X_10)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_401,plain,
( double_divide(identity,inverse(X_11)) != X_11
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_10,X_11)
| multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_11,X_10)
| multiply(X_11,X_10) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_10,X_11)) ),[0],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_404,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_10,X_11)
| multiply(X_11,X_10) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_11,X_10)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(X_11,X_10) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_10,X_11)) )],[refute_0_205,refute_0_404]) ).
cnf(refute_0_406,plain,
( multiply(X_11,X_10) != multiply(X_10,X_11)
| multiply(X_10,X_11) = multiply(X_11,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_11,X_10))),bind(Y0,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_407,plain,
multiply(X_10,X_11) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(X_11,X_10),multiply(X_10,X_11)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(inverse(X_3),X_3) = multiply(X_3,inverse(X_3)),
inference(subst,[],[refute_0_407:[bind(X_10,$fot(inverse(X_3))),bind(X_11,$fot(X_3))]]) ).
cnf(refute_0_409,plain,
( multiply(inverse(X_3),X_3) != multiply(X_3,inverse(X_3))
| multiply(inverse(X_3),X_3) != identity
| multiply(X_3,inverse(X_3)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_410,plain,
( multiply(inverse(X_3),X_3) != identity
| multiply(X_3,inverse(X_3)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),multiply(X_3,inverse(X_3))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),identity) )],[refute_0_190,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(a1,inverse(a1)) = identity,
inference(subst,[],[refute_0_411:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_413,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = inverse(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(X_15,double_divide(identity,inverse(X_16)))))]]) ).
cnf(refute_0_414,plain,
double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)) = multiply(X_15,X_16),
inference(subst,[],[refute_0_89:[bind(X_10,$fot(X_15)),bind(X_11,$fot(X_16))]]) ).
cnf(refute_0_415,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != inverse(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)))
| double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)) != multiply(X_15,X_16)
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = inverse(multiply(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),inverse(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)))) ),[1,0],$fot(multiply(X_15,X_16))]]) ).
cnf(refute_0_416,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != inverse(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)))
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = inverse(multiply(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)),multiply(X_15,X_16)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = inverse(multiply(X_15,X_16)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),inverse(double_divide(double_divide(X_15,double_divide(identity,inverse(X_16))),inverse(identity)))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
double_divide(inverse(X_12),identity) = inverse(inverse(X_12)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_12)))]]) ).
cnf(refute_0_419,plain,
double_divide(inverse(X_12),inverse(identity)) = double_divide(inverse(X_12),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),inverse(identity)))]]) ).
cnf(refute_0_420,plain,
( double_divide(inverse(X_12),inverse(identity)) != double_divide(inverse(X_12),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_12),inverse(identity)) = double_divide(inverse(X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),inverse(identity)),double_divide(inverse(X_12),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_421,plain,
( inverse(identity) != identity
| double_divide(inverse(X_12),inverse(identity)) = double_divide(inverse(X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(identity)),double_divide(inverse(X_12),inverse(identity))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(inverse(X_12),inverse(identity)) = double_divide(inverse(X_12),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_421]) ).
cnf(refute_0_423,plain,
double_divide(identity,inverse(inverse(X_12))) = inverse(X_12),
inference(subst,[],[refute_0_398:[bind(X_11,$fot(inverse(X_12)))]]) ).
cnf(refute_0_424,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),
inference(subst,[],[refute_0_142:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))))]]) ).
cnf(refute_0_425,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity)) = Z,
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_426,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity)) != Z
| double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_427,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity)),Z) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
double_divide(double_divide(identity,Z),inverse(identity)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( double_divide(double_divide(identity,Z),identity) != inverse(inverse(Z))
| double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(identity,Z),identity)
| double_divide(double_divide(identity,Z),inverse(identity)) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,Z),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,Z),identity))),bind(Z0,$fot(inverse(inverse(Z))))]]) ).
cnf(refute_0_430,plain,
( double_divide(double_divide(identity,Z),identity) != inverse(inverse(Z))
| double_divide(double_divide(identity,Z),inverse(identity)) = inverse(inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(identity,Z),identity)) )],[refute_0_283,refute_0_429]) ).
cnf(refute_0_431,plain,
double_divide(double_divide(identity,Z),inverse(identity)) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),identity),inverse(inverse(Z))) )],[refute_0_279,refute_0_430]) ).
cnf(refute_0_432,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| double_divide(double_divide(identity,Z),inverse(identity)) != inverse(inverse(Z))
| inverse(inverse(Z)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) ),[0],$fot(inverse(inverse(Z)))]]) ).
cnf(refute_0_433,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| inverse(inverse(Z)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),inverse(inverse(Z))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
double_divide(Y,inverse(identity)) = double_divide(Y,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(Y,inverse(identity)))]]) ).
cnf(refute_0_435,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_436,plain,
( inverse(identity) != identity
| double_divide(Y,inverse(identity)) = double_divide(Y,identity) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),double_divide(Y,inverse(identity))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
double_divide(Y,inverse(identity)) = double_divide(Y,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_436]) ).
cnf(refute_0_438,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Y,inverse(identity)) != double_divide(Y,identity)
| double_divide(Y,inverse(identity)) = inverse(Y) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(Y,inverse(identity)))),bind(Y0,$fot(double_divide(Y,identity))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_439,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(Y,inverse(identity)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),double_divide(Y,identity)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
double_divide(Y,inverse(identity)) = inverse(Y),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_21,refute_0_439]) ).
cnf(refute_0_441,plain,
double_divide(double_divide(Y,inverse(identity)),Z) = double_divide(double_divide(Y,inverse(identity)),Z),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,inverse(identity)),Z))]]) ).
cnf(refute_0_442,plain,
( double_divide(Y,inverse(identity)) != inverse(Y)
| double_divide(double_divide(Y,inverse(identity)),Z) != double_divide(double_divide(Y,inverse(identity)),Z)
| double_divide(double_divide(Y,inverse(identity)),Z) = double_divide(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,inverse(identity)),Z),double_divide(double_divide(Y,inverse(identity)),Z)) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_443,plain,
( double_divide(Y,inverse(identity)) != inverse(Y)
| double_divide(double_divide(Y,inverse(identity)),Z) = double_divide(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,inverse(identity)),Z),double_divide(double_divide(Y,inverse(identity)),Z)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
double_divide(double_divide(Y,inverse(identity)),Z) = double_divide(inverse(Y),Z),
inference(resolve,[$cnf( $equal(double_divide(Y,inverse(identity)),inverse(Y)) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) = double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)))]]) ).
cnf(refute_0_446,plain,
( double_divide(double_divide(Y,inverse(identity)),Z) != double_divide(inverse(Y),Z)
| double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) ),[1,0],$fot(double_divide(inverse(Y),Z))]]) ).
cnf(refute_0_447,plain,
( double_divide(double_divide(Y,inverse(identity)),Z) != double_divide(inverse(Y),Z)
| double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,inverse(identity)),Z),double_divide(inverse(Y),Z)) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
( double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)) != double_divide(double_divide(inverse(Y),Z),inverse(Y))
| inverse(inverse(Z)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| inverse(inverse(Z)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(Z)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) ),[1],$fot(double_divide(double_divide(inverse(Y),Z),inverse(Y)))]]) ).
cnf(refute_0_450,plain,
( inverse(inverse(Z)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| inverse(inverse(Z)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y)),double_divide(double_divide(inverse(Y),Z),inverse(Y))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
( double_divide(double_divide(identity,Z),inverse(identity)) != double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))
| inverse(inverse(Z)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Z)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) )],[refute_0_433,refute_0_450]) ).
cnf(refute_0_452,plain,
inverse(inverse(Z)) = double_divide(double_divide(inverse(Y),Z),inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,Z),inverse(identity)),double_divide(double_divide(double_divide(Y,inverse(identity)),Z),inverse(Y))) )],[refute_0_428,refute_0_451]) ).
cnf(refute_0_453,plain,
( inverse(inverse(Z)) != double_divide(double_divide(inverse(Y),Z),inverse(Y))
| double_divide(double_divide(inverse(Y),Z),inverse(Y)) = inverse(inverse(Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(Z)))),bind(Y0,$fot(double_divide(double_divide(inverse(Y),Z),inverse(Y))))]]) ).
cnf(refute_0_454,plain,
double_divide(double_divide(inverse(Y),Z),inverse(Y)) = inverse(inverse(Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(Z)),double_divide(double_divide(inverse(Y),Z),inverse(Y))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)) = inverse(inverse(X_12)),
inference(subst,[],[refute_0_454:[bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_456,plain,
double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))))]]) ).
cnf(refute_0_457,plain,
( double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)) != inverse(inverse(X_12))
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) != double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)))
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = double_divide(identity,inverse(inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)))) ),[1,1],$fot(inverse(inverse(X_12)))]]) ).
cnf(refute_0_458,plain,
( double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)) != inverse(inverse(X_12))
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = double_divide(identity,inverse(inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = double_divide(identity,inverse(inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),X_12),inverse(X_11)),inverse(inverse(X_12))) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
( double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) != double_divide(identity,inverse(inverse(X_12)))
| double_divide(identity,inverse(inverse(X_12))) != inverse(X_12)
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = inverse(X_12) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))))),bind(Y0,$fot(double_divide(identity,inverse(inverse(X_12))))),bind(Z0,$fot(inverse(X_12)))]]) ).
cnf(refute_0_461,plain,
( double_divide(identity,inverse(inverse(X_12))) != inverse(X_12)
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),double_divide(identity,inverse(inverse(X_12)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) = inverse(X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_12))),inverse(X_12)) )],[refute_0_423,refute_0_461]) ).
cnf(refute_0_463,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_464,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity))
| double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity))) ),[1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_465,plain,
( double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(X_12)) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != double_divide(inverse(X_12),inverse(identity))
| double_divide(inverse(X_12),inverse(identity)) != double_divide(inverse(X_12),identity)
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_12),inverse(identity)))),bind(Z0,$fot(double_divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_468,plain,
( double_divide(inverse(X_12),inverse(identity)) != double_divide(inverse(X_12),identity)
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),double_divide(inverse(X_12),inverse(identity))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = double_divide(inverse(X_12),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(identity)),double_divide(inverse(X_12),identity)) )],[refute_0_422,refute_0_468]) ).
cnf(refute_0_470,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != double_divide(inverse(X_12),identity)
| double_divide(inverse(X_12),identity) != inverse(inverse(X_12))
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = inverse(inverse(X_12)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_12),identity))),bind(Z0,$fot(inverse(inverse(X_12))))]]) ).
cnf(refute_0_471,plain,
( double_divide(inverse(X_12),identity) != inverse(inverse(X_12))
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = inverse(inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),double_divide(inverse(X_12),identity)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) = inverse(inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),identity),inverse(inverse(X_12))) )],[refute_0_418,refute_0_471]) ).
cnf(refute_0_473,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != inverse(inverse(X_12))
| inverse(inverse(X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).
cnf(refute_0_474,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)) != X_12
| inverse(inverse(X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),inverse(inverse(X_12))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
inverse(inverse(X_12)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_11),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_142,refute_0_474]) ).
cnf(refute_0_476,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_475:[bind(X_12,$fot(X_3))]]) ).
cnf(refute_0_477,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| inverse(inverse(X_3)) != X_3
| multiply(identity,X_3) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).
cnf(refute_0_478,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_125,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(identity,double_divide(X_15,X_16)) = double_divide(X_15,X_16),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(double_divide(X_15,X_16)))]]) ).
cnf(refute_0_481,plain,
inverse(inverse(X_16)) = X_16,
inference(subst,[],[refute_0_475:[bind(X_12,$fot(X_16))]]) ).
cnf(refute_0_482,plain,
multiply(inverse(identity),inverse(X_17)) = inverse(double_divide(inverse(X_17),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(inverse(X_17)))]]) ).
cnf(refute_0_483,plain,
( multiply(inverse(identity),inverse(X_17)) != inverse(double_divide(inverse(X_17),inverse(identity)))
| double_divide(inverse(X_17),inverse(identity)) != multiply(X_17,identity)
| multiply(inverse(identity),inverse(X_17)) = inverse(multiply(X_17,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),inverse(double_divide(inverse(X_17),inverse(identity)))) ),[1,0],$fot(multiply(X_17,identity))]]) ).
cnf(refute_0_484,plain,
( multiply(inverse(identity),inverse(X_17)) != inverse(double_divide(inverse(X_17),inverse(identity)))
| multiply(inverse(identity),inverse(X_17)) = inverse(multiply(X_17,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),multiply(X_17,identity)) )],[refute_0_212,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(inverse(identity),inverse(X_17)) = inverse(multiply(X_17,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),inverse(double_divide(inverse(X_17),inverse(identity)))) )],[refute_0_482,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(identity,inverse(X_17)) = inverse(X_17),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(inverse(X_17)))]]) ).
cnf(refute_0_487,plain,
multiply(inverse(identity),inverse(X_17)) = multiply(inverse(identity),inverse(X_17)),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(X_17)))]]) ).
cnf(refute_0_488,plain,
( multiply(inverse(identity),inverse(X_17)) != multiply(inverse(identity),inverse(X_17))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(X_17)) = multiply(identity,inverse(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),multiply(inverse(identity),inverse(X_17))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_489,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(X_17)) = multiply(identity,inverse(X_17)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),multiply(inverse(identity),inverse(X_17))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(inverse(identity),inverse(X_17)) = multiply(identity,inverse(X_17)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_489]) ).
cnf(refute_0_491,plain,
( multiply(identity,inverse(X_17)) != inverse(X_17)
| multiply(inverse(identity),inverse(X_17)) != multiply(identity,inverse(X_17))
| multiply(inverse(identity),inverse(X_17)) = inverse(X_17) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),inverse(X_17)))),bind(Y0,$fot(multiply(identity,inverse(X_17)))),bind(Z0,$fot(inverse(X_17)))]]) ).
cnf(refute_0_492,plain,
( multiply(identity,inverse(X_17)) != inverse(X_17)
| multiply(inverse(identity),inverse(X_17)) = inverse(X_17) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),multiply(identity,inverse(X_17))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(inverse(identity),inverse(X_17)) = inverse(X_17),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_17)),inverse(X_17)) )],[refute_0_486,refute_0_492]) ).
cnf(refute_0_494,plain,
( multiply(inverse(identity),inverse(X_17)) != inverse(X_17)
| multiply(inverse(identity),inverse(X_17)) != inverse(multiply(X_17,identity))
| inverse(X_17) = inverse(multiply(X_17,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),inverse(multiply(X_17,identity))) ),[0],$fot(inverse(X_17))]]) ).
cnf(refute_0_495,plain,
( multiply(inverse(identity),inverse(X_17)) != inverse(multiply(X_17,identity))
| inverse(X_17) = inverse(multiply(X_17,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),inverse(X_17)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
inverse(inverse(double_divide(Y,X))) = double_divide(Y,X),
inference(subst,[],[refute_0_475:[bind(X_12,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_497,plain,
( inverse(double_divide(Y,X)) != multiply(X,Y)
| inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) ),[0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_498,plain,
( inverse(inverse(double_divide(Y,X))) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_58,refute_0_497]) ).
cnf(refute_0_499,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(Y,X))),double_divide(Y,X)) )],[refute_0_496,refute_0_498]) ).
cnf(refute_0_500,plain,
inverse(multiply(X_17,identity)) = double_divide(identity,X_17),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_17)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_501,plain,
( inverse(X_17) != inverse(multiply(X_17,identity))
| inverse(multiply(X_17,identity)) != double_divide(identity,X_17)
| inverse(X_17) = double_divide(identity,X_17) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(X_17),double_divide(identity,X_17)) ),[0],$fot(inverse(multiply(X_17,identity)))]]) ).
cnf(refute_0_502,plain,
( inverse(X_17) != inverse(multiply(X_17,identity))
| inverse(X_17) = double_divide(identity,X_17) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_17,identity)),double_divide(identity,X_17)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(inverse(identity),inverse(X_17)) != inverse(multiply(X_17,identity))
| inverse(X_17) = double_divide(identity,X_17) ),
inference(resolve,[$cnf( $equal(inverse(X_17),inverse(multiply(X_17,identity))) )],[refute_0_495,refute_0_502]) ).
cnf(refute_0_504,plain,
inverse(X_17) = double_divide(identity,X_17),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(X_17)),inverse(multiply(X_17,identity))) )],[refute_0_485,refute_0_503]) ).
cnf(refute_0_505,plain,
( inverse(X_17) != double_divide(identity,X_17)
| double_divide(identity,X_17) = inverse(X_17) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_17))),bind(Y0,$fot(double_divide(identity,X_17)))]]) ).
cnf(refute_0_506,plain,
double_divide(identity,X_17) = inverse(X_17),
inference(resolve,[$cnf( $equal(inverse(X_17),double_divide(identity,X_17)) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
double_divide(identity,inverse(X_16)) = inverse(inverse(X_16)),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(inverse(X_16)))]]) ).
cnf(refute_0_508,plain,
( double_divide(identity,inverse(X_16)) != inverse(inverse(X_16))
| inverse(inverse(X_16)) != X_16
| double_divide(identity,inverse(X_16)) = X_16 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,inverse(X_16)))),bind(Y0,$fot(inverse(inverse(X_16)))),bind(Z0,$fot(X_16))]]) ).
cnf(refute_0_509,plain,
( inverse(inverse(X_16)) != X_16
| double_divide(identity,inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_16)),inverse(inverse(X_16))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
double_divide(identity,inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(inverse(inverse(X_16)),X_16) )],[refute_0_481,refute_0_509]) ).
cnf(refute_0_511,plain,
double_divide(X_15,double_divide(identity,inverse(X_16))) = double_divide(X_15,double_divide(identity,inverse(X_16))),
introduced(tautology,[refl,[$fot(double_divide(X_15,double_divide(identity,inverse(X_16))))]]) ).
cnf(refute_0_512,plain,
( double_divide(X_15,double_divide(identity,inverse(X_16))) != double_divide(X_15,double_divide(identity,inverse(X_16)))
| double_divide(identity,inverse(X_16)) != X_16
| double_divide(X_15,double_divide(identity,inverse(X_16))) = double_divide(X_15,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_15,double_divide(identity,inverse(X_16))),double_divide(X_15,double_divide(identity,inverse(X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_513,plain,
( double_divide(identity,inverse(X_16)) != X_16
| double_divide(X_15,double_divide(identity,inverse(X_16))) = double_divide(X_15,X_16) ),
inference(resolve,[$cnf( $equal(double_divide(X_15,double_divide(identity,inverse(X_16))),double_divide(X_15,double_divide(identity,inverse(X_16)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
double_divide(X_15,double_divide(identity,inverse(X_16))) = double_divide(X_15,X_16),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_16)),X_16) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))))]]) ).
cnf(refute_0_516,plain,
( multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16))))
| double_divide(X_15,double_divide(identity,inverse(X_16))) != double_divide(X_15,X_16)
| multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16))))) ),[1,1],$fot(double_divide(X_15,X_16))]]) ).
cnf(refute_0_517,plain,
( double_divide(X_15,double_divide(identity,inverse(X_16))) != double_divide(X_15,X_16)
| multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)),
inference(resolve,[$cnf( $equal(double_divide(X_15,double_divide(identity,inverse(X_16))),double_divide(X_15,X_16)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))))]]) ).
cnf(refute_0_520,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16))))
| inverse(identity) != identity
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_521,plain,
( inverse(identity) != identity
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16))))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_521]) ).
cnf(refute_0_523,plain,
( multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(identity,double_divide(X_15,X_16))
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16))))
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))))),bind(Y0,$fot(multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))))),bind(Z0,$fot(multiply(identity,double_divide(X_15,X_16))))]]) ).
cnf(refute_0_524,plain,
( multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(identity,double_divide(X_15,X_16))
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16))))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = multiply(identity,double_divide(X_15,X_16)),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(identity,double_divide(X_15,X_16))) )],[refute_0_518,refute_0_524]) ).
cnf(refute_0_526,plain,
( multiply(identity,double_divide(X_15,X_16)) != double_divide(X_15,X_16)
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != multiply(identity,double_divide(X_15,X_16))
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = double_divide(X_15,X_16) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))))),bind(Y0,$fot(multiply(identity,double_divide(X_15,X_16)))),bind(Z0,$fot(double_divide(X_15,X_16)))]]) ).
cnf(refute_0_527,plain,
( multiply(identity,double_divide(X_15,X_16)) != double_divide(X_15,X_16)
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = double_divide(X_15,X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),multiply(identity,double_divide(X_15,X_16))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) = double_divide(X_15,X_16),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_15,X_16)),double_divide(X_15,X_16)) )],[refute_0_480,refute_0_527]) ).
cnf(refute_0_529,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != double_divide(X_15,X_16)
| multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != inverse(multiply(X_15,X_16))
| double_divide(X_15,X_16) = inverse(multiply(X_15,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),inverse(multiply(X_15,X_16))) ),[0],$fot(double_divide(X_15,X_16))]]) ).
cnf(refute_0_530,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != inverse(multiply(X_15,X_16))
| double_divide(X_15,X_16) = inverse(multiply(X_15,X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),double_divide(X_15,X_16)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
inverse(multiply(X_15,X_16)) = double_divide(X_16,X_15),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_15)),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_532,plain,
( double_divide(X_15,X_16) != inverse(multiply(X_15,X_16))
| inverse(multiply(X_15,X_16)) != double_divide(X_16,X_15)
| double_divide(X_15,X_16) = double_divide(X_16,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_15,X_16),double_divide(X_16,X_15)) ),[0],$fot(inverse(multiply(X_15,X_16)))]]) ).
cnf(refute_0_533,plain,
( double_divide(X_15,X_16) != inverse(multiply(X_15,X_16))
| double_divide(X_15,X_16) = double_divide(X_16,X_15) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_15,X_16)),double_divide(X_16,X_15)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
( multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))) != inverse(multiply(X_15,X_16))
| double_divide(X_15,X_16) = double_divide(X_16,X_15) ),
inference(resolve,[$cnf( $equal(double_divide(X_15,X_16),inverse(multiply(X_15,X_16))) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
double_divide(X_15,X_16) = double_divide(X_16,X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_15,double_divide(identity,inverse(X_16)))),inverse(multiply(X_15,X_16))) )],[refute_0_417,refute_0_534]) ).
cnf(refute_0_536,plain,
double_divide(Y,X) = double_divide(X,Y),
inference(subst,[],[refute_0_535:[bind(X_15,$fot(Y)),bind(X_16,$fot(X))]]) ).
cnf(refute_0_537,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| double_divide(Y,X) != double_divide(X,Y)
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[1,0],$fot(double_divide(X,Y))]]) ).
cnf(refute_0_538,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,X),double_divide(X,Y)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(X,Y) = inverse(double_divide(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_538]) ).
cnf(refute_0_540,plain,
inverse(double_divide(X,Y)) = multiply(Y,X),
inference(subst,[],[refute_0_58:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_541,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| inverse(double_divide(X,Y)) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,X)) ),[0],$fot(inverse(double_divide(X,Y)))]]) ).
cnf(refute_0_542,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,Y)),multiply(Y,X)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(X,Y))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_545,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_545:[bind(X,$fot(a1)),bind(Y,$fot(inverse(a1)))]]) ).
cnf(refute_0_547,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_548,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_412,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(inverse(a1),a1) != identity
| identity != identity
| multiply(inverse(a1),a1) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_551,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_551,prove_these_axioms]) ).
cnf(refute_0_553,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_475:[bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_554,plain,
( inverse(inverse(X_10)) != X_10
| inverse(inverse(X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) ),[0],$fot(X_10)]]) ).
cnf(refute_0_555,plain,
( inverse(inverse(X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
X_10 = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) )],[refute_0_255,refute_0_555]) ).
cnf(refute_0_557,plain,
( X_10 != multiply(X_10,identity)
| multiply(X_10,identity) = X_10 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_10)),bind(Y0,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_558,plain,
multiply(X_10,identity) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(X_10,identity)) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_558:[bind(X_10,$fot(a2))]]) ).
cnf(refute_0_560,plain,
multiply(identity,a2) = multiply(a2,identity),
inference(subst,[],[refute_0_545:[bind(X,$fot(a2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_561,plain,
( multiply(a2,identity) != a2
| multiply(identity,a2) != multiply(a2,identity)
| multiply(identity,a2) = a2 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(identity,a2))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_562,plain,
( multiply(a2,identity) != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),multiply(a2,identity)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(identity,a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
( multiply(identity,a2) != a2
| a2 != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_565,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_565,refute_0_552]) ).
cnf(refute_0_567,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_545:[bind(X,$fot(a4)),bind(Y,$fot(b4))]]) ).
cnf(refute_0_568,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_569,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_569,refute_0_566]) ).
cnf(refute_0_571,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_545:[bind(X,$fot(c3)),bind(Y,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_572,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_573,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_573,refute_0_570]) ).
cnf(refute_0_575,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_576,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_575,refute_0_574]) ).
cnf(refute_0_577,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_578,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_577,refute_0_576]) ).
cnf(refute_0_579,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_580,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_579,refute_0_578]) ).
cnf(refute_0_581,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = inverse(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(identity))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))]]) ).
cnf(refute_0_582,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)) = X_20,
inference(subst,[],[refute_0_142:[bind(X_11,$fot(X_19)),bind(X_12,$fot(X_20))]]) ).
cnf(refute_0_583,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != inverse(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)))
| double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)) != X_20
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = inverse(X_20) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),inverse(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)))) ),[1,0],$fot(X_20)]]) ).
cnf(refute_0_584,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != inverse(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = inverse(X_20) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)),X_20) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = inverse(X_20),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),inverse(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(identity)))) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(multiply(inverse(X_19),double_divide(inverse(X_19),X_20))))]]) ).
cnf(refute_0_587,plain,
inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)),
inference(subst,[],[refute_0_58:[bind(X,$fot(inverse(X_19))),bind(Y,$fot(double_divide(inverse(X_19),X_20)))]]) ).
cnf(refute_0_588,plain,
double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) = inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))]]) ).
cnf(refute_0_589,plain,
( double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) != inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))
| inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))),bind(Y0,$fot(inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))),bind(Z0,$fot(multiply(inverse(X_19),double_divide(inverse(X_19),X_20))))]]) ).
cnf(refute_0_590,plain,
( inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))]]) ).
cnf(refute_0_593,plain,
( multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))
| double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))) ),[1,1],$fot(multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))]]) ).
cnf(refute_0_594,plain,
( double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))),multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) )],[refute_0_591,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))]]) ).
cnf(refute_0_597,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))
| inverse(identity) != identity
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_598,plain,
( inverse(identity) != identity
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_598]) ).
cnf(refute_0_600,plain,
( multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))),bind(Y0,$fot(multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))),bind(Z0,$fot(multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))))]]) ).
cnf(refute_0_601,plain,
( multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19))))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))) )],[refute_0_595,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))))),bind(Y0,$fot(multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))))),bind(Z0,$fot(multiply(inverse(X_19),double_divide(inverse(X_19),X_20))))]]) ).
cnf(refute_0_604,plain,
( multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) = multiply(inverse(X_19),double_divide(inverse(X_19),X_20)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(X_19),double_divide(inverse(X_19),X_20))),multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) )],[refute_0_586,refute_0_604]) ).
cnf(refute_0_606,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != multiply(inverse(X_19),double_divide(inverse(X_19),X_20))
| multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != inverse(X_20)
| multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) = inverse(X_20) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),inverse(X_20)) ),[0],$fot(multiply(inverse(X_19),double_divide(inverse(X_19),X_20)))]]) ).
cnf(refute_0_607,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))) != inverse(X_20)
| multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) = inverse(X_20) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),multiply(inverse(X_19),double_divide(inverse(X_19),X_20))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(inverse(X_19),double_divide(inverse(X_19),X_20)) = inverse(X_20),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(double_divide(inverse(X_19),X_20),inverse(X_19)))),inverse(X_20)) )],[refute_0_585,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(inverse(inverse(X_12)),double_divide(inverse(inverse(X_12)),X_43)) = inverse(X_43),
inference(subst,[],[refute_0_608:[bind(X_19,$fot(inverse(X_12))),bind(X_20,$fot(X_43))]]) ).
cnf(refute_0_610,plain,
( multiply(inverse(inverse(X_12)),double_divide(inverse(inverse(X_12)),X_43)) != inverse(X_43)
| inverse(inverse(X_12)) != X_12
| multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(inverse(inverse(X_12)),X_43)),inverse(X_43)) ),[0,1,0],$fot(X_12)]]) ).
cnf(refute_0_611,plain,
( multiply(inverse(inverse(X_12)),double_divide(inverse(inverse(X_12)),X_43)) != inverse(X_43)
| multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_475,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(inverse(inverse(X_12)),X_43)),inverse(X_43)) )],[refute_0_609,refute_0_611]) ).
cnf(refute_0_613,plain,
multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)))]]) ).
cnf(refute_0_614,plain,
( multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) != multiply(inverse(inverse(X_12)),double_divide(X_12,X_43))
| inverse(inverse(X_12)) != X_12
| multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = multiply(X_12,double_divide(X_12,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),multiply(inverse(inverse(X_12)),double_divide(X_12,X_43))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_615,plain,
( inverse(inverse(X_12)) != X_12
| multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = multiply(X_12,double_divide(X_12,X_43)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),multiply(inverse(inverse(X_12)),double_divide(X_12,X_43))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) = multiply(X_12,double_divide(X_12,X_43)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_475,refute_0_615]) ).
cnf(refute_0_617,plain,
( multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) != multiply(X_12,double_divide(X_12,X_43))
| multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) != inverse(X_43)
| multiply(X_12,double_divide(X_12,X_43)) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),inverse(X_43)) ),[0],$fot(multiply(X_12,double_divide(X_12,X_43)))]]) ).
cnf(refute_0_618,plain,
( multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)) != inverse(X_43)
| multiply(X_12,double_divide(X_12,X_43)) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),multiply(X_12,double_divide(X_12,X_43))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(X_12,double_divide(X_12,X_43)) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_12)),double_divide(X_12,X_43)),inverse(X_43)) )],[refute_0_612,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(X_12,double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) = inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))),
inference(subst,[],[refute_0_619:[bind(X_43,$fot(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))))]]) ).
cnf(refute_0_621,plain,
multiply(X_44,double_divide(X_44,X_45)) = inverse(X_45),
inference(subst,[],[refute_0_619:[bind(X_12,$fot(X_44)),bind(X_43,$fot(X_45))]]) ).
cnf(refute_0_622,plain,
double_divide(X_45,X_44) = double_divide(X_44,X_45),
inference(subst,[],[refute_0_535:[bind(X_15,$fot(X_45)),bind(X_16,$fot(X_44))]]) ).
cnf(refute_0_623,plain,
( double_divide(X_45,X_44) != double_divide(X_44,X_45)
| double_divide(X_44,X_45) = double_divide(X_45,X_44) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_45,X_44))),bind(Y0,$fot(double_divide(X_44,X_45)))]]) ).
cnf(refute_0_624,plain,
double_divide(X_44,X_45) = double_divide(X_45,X_44),
inference(resolve,[$cnf( $equal(double_divide(X_45,X_44),double_divide(X_44,X_45)) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
( multiply(X_44,double_divide(X_44,X_45)) != inverse(X_45)
| double_divide(X_44,X_45) != double_divide(X_45,X_44)
| multiply(X_44,double_divide(X_45,X_44)) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_44,double_divide(X_44,X_45)),inverse(X_45)) ),[0,1],$fot(double_divide(X_45,X_44))]]) ).
cnf(refute_0_626,plain,
( multiply(X_44,double_divide(X_44,X_45)) != inverse(X_45)
| multiply(X_44,double_divide(X_45,X_44)) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(double_divide(X_44,X_45),double_divide(X_45,X_44)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
multiply(X_44,double_divide(X_45,X_44)) = inverse(X_45),
inference(resolve,[$cnf( $equal(multiply(X_44,double_divide(X_44,X_45)),inverse(X_45)) )],[refute_0_621,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))) = inverse(X_45),
inference(subst,[],[refute_0_627:[bind(X_44,$fot(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))))]]) ).
cnf(refute_0_629,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_630,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_631,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,X_3))),bind(Y0,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_632,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_634,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_629,refute_0_634]) ).
cnf(refute_0_636,plain,
identity = double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),
inference(subst,[],[refute_0_635:[bind(X_2,$fot(inverse(identity))),bind(X_3,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_637,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_638,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)) != X_12
| identity != double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| identity = double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_639,plain,
( identity != double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| identity = double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
identity = double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
inverse(double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_12,double_divide(X_11,X_10)),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_12)),bind(Y,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_642,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_643,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| inverse(double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_12,double_divide(X_11,X_10))
| multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) ),[1,1],$fot(multiply(X_12,double_divide(X_11,X_10)))]]) ).
cnf(refute_0_644,plain,
( inverse(double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_12,double_divide(X_11,X_10))
| multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_11,X_10),X_12)),multiply(X_12,double_divide(X_11,X_10))) )],[refute_0_641,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
inference(subst,[],[refute_0_545:[bind(X,$fot(X_11)),bind(Y,$fot(inverse(double_divide(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_647,plain,
inverse(multiply(X_50,double_divide(X_45,X_50))) = double_divide(double_divide(X_45,X_50),X_50),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_50)),bind(Y,$fot(double_divide(X_45,X_50)))]]) ).
cnf(refute_0_648,plain,
multiply(X_50,double_divide(X_45,X_50)) = inverse(X_45),
inference(subst,[],[refute_0_627:[bind(X_44,$fot(X_50))]]) ).
cnf(refute_0_649,plain,
( multiply(X_50,double_divide(X_45,X_50)) != inverse(X_45)
| inverse(multiply(X_50,double_divide(X_45,X_50))) != double_divide(double_divide(X_45,X_50),X_50)
| inverse(inverse(X_45)) = double_divide(double_divide(X_45,X_50),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_50,double_divide(X_45,X_50))),double_divide(double_divide(X_45,X_50),X_50)) ),[0,0],$fot(inverse(X_45))]]) ).
cnf(refute_0_650,plain,
( inverse(multiply(X_50,double_divide(X_45,X_50))) != double_divide(double_divide(X_45,X_50),X_50)
| inverse(inverse(X_45)) = double_divide(double_divide(X_45,X_50),X_50) ),
inference(resolve,[$cnf( $equal(multiply(X_50,double_divide(X_45,X_50)),inverse(X_45)) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
inverse(inverse(X_45)) = double_divide(double_divide(X_45,X_50),X_50),
inference(resolve,[$cnf( $equal(inverse(multiply(X_50,double_divide(X_45,X_50))),double_divide(double_divide(X_45,X_50),X_50)) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
inverse(inverse(X_45)) = X_45,
inference(subst,[],[refute_0_475:[bind(X_12,$fot(X_45))]]) ).
cnf(refute_0_653,plain,
( inverse(inverse(X_45)) != X_45
| inverse(inverse(X_45)) != double_divide(double_divide(X_45,X_50),X_50)
| X_45 = double_divide(double_divide(X_45,X_50),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_45)),double_divide(double_divide(X_45,X_50),X_50)) ),[0],$fot(X_45)]]) ).
cnf(refute_0_654,plain,
( inverse(inverse(X_45)) != double_divide(double_divide(X_45,X_50),X_50)
| X_45 = double_divide(double_divide(X_45,X_50),X_50) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),X_45) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
( double_divide(X_15,X_16) != double_divide(X_16,X_15)
| double_divide(X_16,X_15) = double_divide(X_15,X_16) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_15,X_16))),bind(Y0,$fot(double_divide(X_16,X_15)))]]) ).
cnf(refute_0_656,plain,
double_divide(X_16,X_15) = double_divide(X_15,X_16),
inference(resolve,[$cnf( $equal(double_divide(X_15,X_16),double_divide(X_16,X_15)) )],[refute_0_535,refute_0_655]) ).
cnf(refute_0_657,plain,
double_divide(double_divide(X_45,X_50),X_50) = double_divide(X_50,double_divide(X_45,X_50)),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(X_50)),bind(X_16,$fot(double_divide(X_45,X_50)))]]) ).
cnf(refute_0_658,plain,
( X_45 != double_divide(double_divide(X_45,X_50),X_50)
| double_divide(double_divide(X_45,X_50),X_50) != double_divide(X_50,double_divide(X_45,X_50))
| X_45 = double_divide(X_50,double_divide(X_45,X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_45,double_divide(X_50,double_divide(X_45,X_50))) ),[0],$fot(double_divide(double_divide(X_45,X_50),X_50))]]) ).
cnf(refute_0_659,plain,
( X_45 != double_divide(double_divide(X_45,X_50),X_50)
| X_45 = double_divide(X_50,double_divide(X_45,X_50)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_45,X_50),X_50),double_divide(X_50,double_divide(X_45,X_50))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
( inverse(inverse(X_45)) != double_divide(double_divide(X_45,X_50),X_50)
| X_45 = double_divide(X_50,double_divide(X_45,X_50)) ),
inference(resolve,[$cnf( $equal(X_45,double_divide(double_divide(X_45,X_50),X_50)) )],[refute_0_654,refute_0_659]) ).
cnf(refute_0_661,plain,
X_45 = double_divide(X_50,double_divide(X_45,X_50)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),double_divide(double_divide(X_45,X_50),X_50)) )],[refute_0_651,refute_0_660]) ).
cnf(refute_0_662,plain,
double_divide(X_62,X_61) = double_divide(double_divide(inverse(X_61),inverse(X_62)),double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62)))),
inference(subst,[],[refute_0_661:[bind(X_45,$fot(double_divide(X_62,X_61))),bind(X_50,$fot(double_divide(inverse(X_61),inverse(X_62))))]]) ).
cnf(refute_0_663,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),inverse(Y))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_41:[bind(X,$fot(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_664,plain,
double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(Y)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_665,plain,
( double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),inverse(Y))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),inverse(Y))),inverse(identity)),inverse(identity)) ),[0,0,1,0],$fot(X_12)]]) ).
cnf(refute_0_666,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),inverse(Y))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(double_divide(double_divide(Y,double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)),inverse(Y))),inverse(identity)),inverse(identity)) )],[refute_0_663,refute_0_666]) ).
cnf(refute_0_668,plain,
inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),
inference(subst,[],[refute_0_58:[bind(X,$fot(double_divide(X_12,inverse(Y)))),bind(Y,$fot(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))))]]) ).
cnf(refute_0_669,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))))]]) ).
cnf(refute_0_670,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) != inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))))
| inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))))),bind(Z0,$fot(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_671,plain,
( inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity),inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y)))),multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)))]]) ).
cnf(refute_0_674,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_675,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_675]) ).
cnf(refute_0_677,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity))),bind(Z0,$fot(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_678,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),identity),multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))) )],[refute_0_672,refute_0_678]) ).
cnf(refute_0_680,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),inverse(identity)) ),[0],$fot(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))))]]) ).
cnf(refute_0_681,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != inverse(identity)
| inverse(identity) != identity
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_683,plain,
( multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != inverse(identity)
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_682]) ).
cnf(refute_0_684,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),inverse(identity)) )],[refute_0_681,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(X_12,inverse(Y))),inverse(identity)),inverse(identity)) )],[refute_0_667,refute_0_684]) ).
cnf(refute_0_686,plain,
double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)) = double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12)),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(inverse(X_11))),bind(X_16,$fot(double_divide(double_divide(X_11,Y),X_12)))]]) ).
cnf(refute_0_687,plain,
multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))))]]) ).
cnf(refute_0_688,plain,
( multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))) ),[1,1],$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12)))]]) ).
cnf(refute_0_689,plain,
( double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
( multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12)))
| multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != identity
| multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),identity) ),[0],$fot(multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))))]]) ).
cnf(refute_0_692,plain,
( multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))) != identity
| multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12)))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiply(double_divide(X_12,inverse(Y)),double_divide(inverse(X_11),double_divide(double_divide(X_11,Y),X_12))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(Y)),double_divide(double_divide(double_divide(X_11,Y),X_12),inverse(X_11))),identity) )],[refute_0_685,refute_0_692]) ).
cnf(refute_0_694,plain,
multiply(double_divide(X_56,inverse(inverse(X_12))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = identity,
inference(subst,[],[refute_0_693:[bind(Y,$fot(inverse(X_12))),bind(X_11,$fot(X_55)),bind(X_12,$fot(X_56))]]) ).
cnf(refute_0_695,plain,
( multiply(double_divide(X_56,inverse(inverse(X_12))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != identity
| inverse(inverse(X_12)) != X_12
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_12))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),identity) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_696,plain,
( multiply(double_divide(X_56,inverse(inverse(X_12))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != identity
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_475,refute_0_695]) ).
cnf(refute_0_697,plain,
multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_12))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),identity) )],[refute_0_694,refute_0_696]) ).
cnf(refute_0_698,plain,
multiply(double_divide(X_56,X_12),multiply(X_56,X_12)) = multiply(multiply(X_56,X_12),double_divide(X_56,X_12)),
inference(subst,[],[refute_0_545:[bind(X,$fot(multiply(X_56,X_12))),bind(Y,$fot(double_divide(X_56,X_12)))]]) ).
cnf(refute_0_699,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),
inference(subst,[],[refute_0_41:[bind(Y,$fot(identity)),bind(Z,$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))))]]) ).
cnf(refute_0_700,plain,
double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(double_divide(identity,X))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_701,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_702,plain,
( double_divide(double_divide(X,double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(double_divide(identity,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
inverse(double_divide(X,X_12)) = multiply(X_12,X),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_12)),bind(Y,$fot(X))]]) ).
cnf(refute_0_705,plain,
double_divide(double_divide(X,X_12),identity) = inverse(double_divide(X,X_12)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X,X_12)))]]) ).
cnf(refute_0_706,plain,
( double_divide(double_divide(X,X_12),identity) != inverse(double_divide(X,X_12))
| inverse(double_divide(X,X_12)) != multiply(X_12,X)
| double_divide(double_divide(X,X_12),identity) = multiply(X_12,X) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X,X_12),identity))),bind(Y0,$fot(inverse(double_divide(X,X_12)))),bind(Z0,$fot(multiply(X_12,X)))]]) ).
cnf(refute_0_707,plain,
( inverse(double_divide(X,X_12)) != multiply(X_12,X)
| double_divide(double_divide(X,X_12),identity) = multiply(X_12,X) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),identity),inverse(double_divide(X,X_12))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
double_divide(double_divide(X,X_12),identity) = multiply(X_12,X),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,X_12)),multiply(X_12,X)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(X,X_12),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,X_12),inverse(identity)))]]) ).
cnf(refute_0_710,plain,
( double_divide(double_divide(X,X_12),inverse(identity)) != double_divide(double_divide(X,X_12),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(X,X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),double_divide(double_divide(X,X_12),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_711,plain,
( inverse(identity) != identity
| double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(X,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),double_divide(double_divide(X,X_12),inverse(identity))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
double_divide(double_divide(X,X_12),inverse(identity)) = double_divide(double_divide(X,X_12),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_711]) ).
cnf(refute_0_713,plain,
( double_divide(double_divide(X,X_12),identity) != multiply(X_12,X)
| double_divide(double_divide(X,X_12),inverse(identity)) != double_divide(double_divide(X,X_12),identity)
| double_divide(double_divide(X,X_12),inverse(identity)) = multiply(X_12,X) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X,X_12),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X,X_12),identity))),bind(Z0,$fot(multiply(X_12,X)))]]) ).
cnf(refute_0_714,plain,
( double_divide(double_divide(X,X_12),identity) != multiply(X_12,X)
| double_divide(double_divide(X,X_12),inverse(identity)) = multiply(X_12,X) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),double_divide(double_divide(X,X_12),identity)) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
double_divide(double_divide(X,X_12),inverse(identity)) = multiply(X_12,X),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),identity),multiply(X_12,X)) )],[refute_0_708,refute_0_714]) ).
cnf(refute_0_716,plain,
( double_divide(double_divide(X,X_12),inverse(identity)) != multiply(X_12,X)
| double_divide(double_divide(X,X_12),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) ),[0],$fot(multiply(X_12,X))]]) ).
cnf(refute_0_717,plain,
( double_divide(double_divide(X,X_12),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),multiply(X_12,X)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,X_12),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) )],[refute_0_703,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(identity,X) = inverse(X),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(X))]]) ).
cnf(refute_0_720,plain,
double_divide(X_11,double_divide(identity,X)) = double_divide(X_11,double_divide(identity,X)),
introduced(tautology,[refl,[$fot(double_divide(X_11,double_divide(identity,X)))]]) ).
cnf(refute_0_721,plain,
( double_divide(X_11,double_divide(identity,X)) != double_divide(X_11,double_divide(identity,X))
| double_divide(identity,X) != inverse(X)
| double_divide(X_11,double_divide(identity,X)) = double_divide(X_11,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_11,double_divide(identity,X)),double_divide(X_11,double_divide(identity,X))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_722,plain,
( double_divide(identity,X) != inverse(X)
| double_divide(X_11,double_divide(identity,X)) = double_divide(X_11,inverse(X)) ),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(identity,X)),double_divide(X_11,double_divide(identity,X))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
double_divide(X_11,double_divide(identity,X)) = double_divide(X_11,inverse(X)),
inference(resolve,[$cnf( $equal(double_divide(identity,X),inverse(X)) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
double_divide(double_divide(X_11,double_divide(identity,X)),X_12) = double_divide(double_divide(X_11,double_divide(identity,X)),X_12),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,double_divide(identity,X)),X_12))]]) ).
cnf(refute_0_725,plain,
( double_divide(X_11,double_divide(identity,X)) != double_divide(X_11,inverse(X))
| double_divide(double_divide(X_11,double_divide(identity,X)),X_12) != double_divide(double_divide(X_11,double_divide(identity,X)),X_12)
| double_divide(double_divide(X_11,double_divide(identity,X)),X_12) = double_divide(double_divide(X_11,inverse(X)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),double_divide(double_divide(X_11,double_divide(identity,X)),X_12)) ),[1,0],$fot(double_divide(X_11,inverse(X)))]]) ).
cnf(refute_0_726,plain,
( double_divide(X_11,double_divide(identity,X)) != double_divide(X_11,inverse(X))
| double_divide(double_divide(X_11,double_divide(identity,X)),X_12) = double_divide(double_divide(X_11,inverse(X)),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),double_divide(double_divide(X_11,double_divide(identity,X)),X_12)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
double_divide(double_divide(X_11,double_divide(identity,X)),X_12) = double_divide(double_divide(X_11,inverse(X)),X_12),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(identity,X)),double_divide(X_11,inverse(X))) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_729,plain,
( double_divide(double_divide(X_11,double_divide(identity,X)),X_12) != double_divide(double_divide(X_11,inverse(X)),X_12)
| double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) ),[1,0],$fot(double_divide(double_divide(X_11,inverse(X)),X_12))]]) ).
cnf(refute_0_730,plain,
( double_divide(double_divide(X_11,double_divide(identity,X)),X_12) != double_divide(double_divide(X_11,inverse(X)),X_12)
| double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),double_divide(double_divide(X_11,inverse(X)),X_12)) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
( multiply(X_12,X) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))
| multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,X),double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))) ),[0],$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_733,plain,
( multiply(X_12,X) != double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))
| multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiply(X_12,X) = double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(X_12,X),double_divide(double_divide(double_divide(X_11,double_divide(identity,X)),X_12),inverse(X_11))) )],[refute_0_718,refute_0_733]) ).
cnf(refute_0_735,plain,
double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(inverse(X_11))),bind(X_16,$fot(double_divide(double_divide(X_11,inverse(X)),X_12)))]]) ).
cnf(refute_0_736,plain,
( multiply(X_12,X) != double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))
| multiply(X_12,X) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,X),double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))) ),[0],$fot(double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_737,plain,
( multiply(X_12,X) != double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))
| multiply(X_12,X) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11)),double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(X_12,X) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_12,X),double_divide(double_divide(double_divide(X_11,inverse(X)),X_12),inverse(X_11))) )],[refute_0_734,refute_0_737]) ).
cnf(refute_0_739,plain,
( multiply(X_12,X) != double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)) = multiply(X_12,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_12,X))),bind(Y0,$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))))]]) ).
cnf(refute_0_740,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12)) = multiply(X_12,X),
inference(resolve,[$cnf( $equal(multiply(X_12,X),double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(X)),X_12))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)) = multiply(X_56,X_12),
inference(subst,[],[refute_0_740:[bind(X,$fot(X_12)),bind(X_11,$fot(X_55)),bind(X_12,$fot(X_56))]]) ).
cnf(refute_0_742,plain,
multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))))]]) ).
cnf(refute_0_743,plain,
( multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)))
| double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)) != multiply(X_56,X_12)
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(double_divide(X_56,X_12),multiply(X_56,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)))) ),[1,1],$fot(multiply(X_56,X_12))]]) ).
cnf(refute_0_744,plain,
( double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)) != multiply(X_56,X_12)
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(double_divide(X_56,X_12),multiply(X_56,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)))) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(double_divide(X_56,X_12),multiply(X_56,X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56)),multiply(X_56,X_12)) )],[refute_0_741,refute_0_744]) ).
cnf(refute_0_746,plain,
( multiply(double_divide(X_56,X_12),multiply(X_56,X_12)) != multiply(multiply(X_56,X_12),double_divide(X_56,X_12))
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != multiply(double_divide(X_56,X_12),multiply(X_56,X_12))
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(multiply(X_56,X_12),double_divide(X_56,X_12)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))))),bind(Y0,$fot(multiply(double_divide(X_56,X_12),multiply(X_56,X_12)))),bind(Z0,$fot(multiply(multiply(X_56,X_12),double_divide(X_56,X_12))))]]) ).
cnf(refute_0_747,plain,
( multiply(double_divide(X_56,X_12),multiply(X_56,X_12)) != multiply(multiply(X_56,X_12),double_divide(X_56,X_12))
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(multiply(X_56,X_12),double_divide(X_56,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),multiply(double_divide(X_56,X_12),multiply(X_56,X_12))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) = multiply(multiply(X_56,X_12),double_divide(X_56,X_12)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_12),multiply(X_56,X_12)),multiply(multiply(X_56,X_12),double_divide(X_56,X_12))) )],[refute_0_698,refute_0_747]) ).
cnf(refute_0_749,plain,
( multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != multiply(multiply(X_56,X_12),double_divide(X_56,X_12))
| multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != identity
| multiply(multiply(X_56,X_12),double_divide(X_56,X_12)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),identity) ),[0],$fot(multiply(multiply(X_56,X_12),double_divide(X_56,X_12)))]]) ).
cnf(refute_0_750,plain,
( multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))) != identity
| multiply(multiply(X_56,X_12),double_divide(X_56,X_12)) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),multiply(multiply(X_56,X_12),double_divide(X_56,X_12))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
multiply(multiply(X_56,X_12),double_divide(X_56,X_12)) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_12),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_12)),X_56))),identity) )],[refute_0_697,refute_0_750]) ).
cnf(refute_0_752,plain,
multiply(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) = identity,
inference(subst,[],[refute_0_751:[bind(X_12,$fot(double_divide(inverse(X_59),inverse(X_60)))),bind(X_56,$fot(double_divide(X_60,X_59)))]]) ).
cnf(refute_0_753,plain,
multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_55)),X_56))) = identity,
inference(subst,[],[refute_0_693:[bind(Y,$fot(inverse(X_55))),bind(X_11,$fot(X_55)),bind(X_12,$fot(X_56))]]) ).
cnf(refute_0_754,plain,
identity = double_divide(X_55,inverse(X_55)),
inference(subst,[],[identity:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_755,plain,
( identity != double_divide(X_55,inverse(X_55))
| double_divide(X_55,inverse(X_55)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_55,inverse(X_55))))]]) ).
cnf(refute_0_756,plain,
double_divide(X_55,inverse(X_55)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_55,inverse(X_55))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
( multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_55)),X_56))) != identity
| double_divide(X_55,inverse(X_55)) != identity
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_55)),X_56))),identity) ),[0,1,1,0],$fot(identity)]]) ).
cnf(refute_0_758,plain,
( multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_55)),X_56))) != identity
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(X_55,inverse(X_55)),identity) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(double_divide(X_55,inverse(X_55)),X_56))),identity) )],[refute_0_753,refute_0_758]) ).
cnf(refute_0_760,plain,
double_divide(identity,X_56) = inverse(X_56),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(X_56))]]) ).
cnf(refute_0_761,plain,
double_divide(inverse(X_55),double_divide(identity,X_56)) = double_divide(inverse(X_55),double_divide(identity,X_56)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_55),double_divide(identity,X_56)))]]) ).
cnf(refute_0_762,plain,
( double_divide(identity,X_56) != inverse(X_56)
| double_divide(inverse(X_55),double_divide(identity,X_56)) != double_divide(inverse(X_55),double_divide(identity,X_56))
| double_divide(inverse(X_55),double_divide(identity,X_56)) = double_divide(inverse(X_55),inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_55),double_divide(identity,X_56)),double_divide(inverse(X_55),double_divide(identity,X_56))) ),[1,1],$fot(inverse(X_56))]]) ).
cnf(refute_0_763,plain,
( double_divide(identity,X_56) != inverse(X_56)
| double_divide(inverse(X_55),double_divide(identity,X_56)) = double_divide(inverse(X_55),inverse(X_56)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_55),double_divide(identity,X_56)),double_divide(inverse(X_55),double_divide(identity,X_56))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
double_divide(inverse(X_55),double_divide(identity,X_56)) = double_divide(inverse(X_55),inverse(X_56)),
inference(resolve,[$cnf( $equal(double_divide(identity,X_56),inverse(X_56)) )],[refute_0_760,refute_0_763]) ).
cnf(refute_0_765,plain,
multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))))]]) ).
cnf(refute_0_766,plain,
( multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56)))
| double_divide(inverse(X_55),double_divide(identity,X_56)) != double_divide(inverse(X_55),inverse(X_56))
| multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56)))) ),[1,1],$fot(double_divide(inverse(X_55),inverse(X_56)))]]) ).
cnf(refute_0_767,plain,
( double_divide(inverse(X_55),double_divide(identity,X_56)) != double_divide(inverse(X_55),inverse(X_56))
| multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_55),double_divide(identity,X_56)),double_divide(inverse(X_55),inverse(X_56))) )],[refute_0_764,refute_0_767]) ).
cnf(refute_0_769,plain,
inverse(inverse(X_55)) = X_55,
inference(subst,[],[refute_0_475:[bind(X_12,$fot(X_55))]]) ).
cnf(refute_0_770,plain,
double_divide(X_56,inverse(inverse(X_55))) = double_divide(X_56,inverse(inverse(X_55))),
introduced(tautology,[refl,[$fot(double_divide(X_56,inverse(inverse(X_55))))]]) ).
cnf(refute_0_771,plain,
( double_divide(X_56,inverse(inverse(X_55))) != double_divide(X_56,inverse(inverse(X_55)))
| inverse(inverse(X_55)) != X_55
| double_divide(X_56,inverse(inverse(X_55))) = double_divide(X_56,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_56,inverse(inverse(X_55))),double_divide(X_56,inverse(inverse(X_55)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_772,plain,
( inverse(inverse(X_55)) != X_55
| double_divide(X_56,inverse(inverse(X_55))) = double_divide(X_56,X_55) ),
inference(resolve,[$cnf( $equal(double_divide(X_56,inverse(inverse(X_55))),double_divide(X_56,inverse(inverse(X_55)))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
double_divide(X_56,inverse(inverse(X_55))) = double_divide(X_56,X_55),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_769,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))))]]) ).
cnf(refute_0_775,plain,
( multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56)))
| double_divide(X_56,inverse(inverse(X_55))) != double_divide(X_56,X_55)
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56)))) ),[1,0],$fot(double_divide(X_56,X_55))]]) ).
cnf(refute_0_776,plain,
( double_divide(X_56,inverse(inverse(X_55))) != double_divide(X_56,X_55)
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56)))) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))),
inference(resolve,[$cnf( $equal(double_divide(X_56,inverse(inverse(X_55))),double_divide(X_56,X_55)) )],[refute_0_773,refute_0_776]) ).
cnf(refute_0_778,plain,
( multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56)))
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))))),bind(Y0,$fot(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))))),bind(Z0,$fot(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))))]]) ).
cnf(refute_0_779,plain,
( multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56)))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) = multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))) )],[refute_0_768,refute_0_779]) ).
cnf(refute_0_781,plain,
( multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) != multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))
| multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) != identity
| multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),identity) ),[0],$fot(multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))))]]) ).
cnf(refute_0_782,plain,
( multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))) != identity
| multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56)))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(double_divide(X_56,X_55),double_divide(inverse(X_55),inverse(X_56))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_56,inverse(inverse(X_55))),double_divide(inverse(X_55),double_divide(identity,X_56))),identity) )],[refute_0_759,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))) = identity,
inference(subst,[],[refute_0_783:[bind(X_55,$fot(X_59)),bind(X_56,$fot(X_60))]]) ).
cnf(refute_0_785,plain,
( multiply(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) != identity
| multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))) != identity
| multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))),identity) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_786,plain,
( multiply(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) != identity
| multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),identity) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))),identity) )],[refute_0_752,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) = double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))))]]) ).
cnf(refute_0_789,plain,
( multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) != double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))
| multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) != identity
| double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))),identity) ),[0],$fot(double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))))]]) ).
cnf(refute_0_790,plain,
( multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) != identity
| double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))),double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60))) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(double_divide(X_60,X_59),double_divide(inverse(X_59),inverse(X_60)))),identity) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))) = identity,
inference(subst,[],[refute_0_791:[bind(X_59,$fot(X_61)),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_793,plain,
( double_divide(X_62,X_61) != double_divide(double_divide(inverse(X_61),inverse(X_62)),double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))))
| double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))) != identity
| double_divide(X_62,X_61) = double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_62,X_61),double_divide(double_divide(inverse(X_61),inverse(X_62)),double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_794,plain,
( double_divide(X_62,X_61) != double_divide(double_divide(inverse(X_61),inverse(X_62)),double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))))
| double_divide(X_62,X_61) = double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))),identity) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
double_divide(X_62,X_61) = double_divide(double_divide(inverse(X_61),inverse(X_62)),identity),
inference(resolve,[$cnf( $equal(double_divide(X_62,X_61),double_divide(double_divide(inverse(X_61),inverse(X_62)),double_divide(double_divide(X_62,X_61),double_divide(inverse(X_61),inverse(X_62))))) )],[refute_0_662,refute_0_794]) ).
cnf(refute_0_796,plain,
inverse(double_divide(inverse(X_61),inverse(X_62))) = multiply(inverse(X_62),inverse(X_61)),
inference(subst,[],[refute_0_58:[bind(X,$fot(inverse(X_62))),bind(Y,$fot(inverse(X_61)))]]) ).
cnf(refute_0_797,plain,
double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) = inverse(double_divide(inverse(X_61),inverse(X_62))),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(double_divide(inverse(X_61),inverse(X_62))))]]) ).
cnf(refute_0_798,plain,
( double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) != inverse(double_divide(inverse(X_61),inverse(X_62)))
| inverse(double_divide(inverse(X_61),inverse(X_62))) != multiply(inverse(X_62),inverse(X_61))
| double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) = multiply(inverse(X_62),inverse(X_61)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,double_divide(inverse(X_61),inverse(X_62))))),bind(Y0,$fot(inverse(double_divide(inverse(X_61),inverse(X_62))))),bind(Z0,$fot(multiply(inverse(X_62),inverse(X_61))))]]) ).
cnf(refute_0_799,plain,
( inverse(double_divide(inverse(X_61),inverse(X_62))) != multiply(inverse(X_62),inverse(X_61))
| double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) = multiply(inverse(X_62),inverse(X_61)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_61),inverse(X_62))),inverse(double_divide(inverse(X_61),inverse(X_62)))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) = multiply(inverse(X_62),inverse(X_61)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_61),inverse(X_62))),multiply(inverse(X_62),inverse(X_61))) )],[refute_0_796,refute_0_799]) ).
cnf(refute_0_801,plain,
double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) = double_divide(identity,double_divide(inverse(X_61),inverse(X_62))),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(identity)),bind(X_16,$fot(double_divide(inverse(X_61),inverse(X_62))))]]) ).
cnf(refute_0_802,plain,
( double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) != double_divide(identity,double_divide(inverse(X_61),inverse(X_62)))
| double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) != multiply(inverse(X_62),inverse(X_61))
| double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) = multiply(inverse(X_62),inverse(X_61)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(X_61),inverse(X_62)),identity))),bind(Y0,$fot(double_divide(identity,double_divide(inverse(X_61),inverse(X_62))))),bind(Z0,$fot(multiply(inverse(X_62),inverse(X_61))))]]) ).
cnf(refute_0_803,plain,
( double_divide(identity,double_divide(inverse(X_61),inverse(X_62))) != multiply(inverse(X_62),inverse(X_61))
| double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) = multiply(inverse(X_62),inverse(X_61)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_61),inverse(X_62)),identity),double_divide(identity,double_divide(inverse(X_61),inverse(X_62)))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) = multiply(inverse(X_62),inverse(X_61)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_61),inverse(X_62))),multiply(inverse(X_62),inverse(X_61))) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
( double_divide(X_62,X_61) != double_divide(double_divide(inverse(X_61),inverse(X_62)),identity)
| double_divide(double_divide(inverse(X_61),inverse(X_62)),identity) != multiply(inverse(X_62),inverse(X_61))
| double_divide(X_62,X_61) = multiply(inverse(X_62),inverse(X_61)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_62,X_61),multiply(inverse(X_62),inverse(X_61))) ),[0],$fot(double_divide(double_divide(inverse(X_61),inverse(X_62)),identity))]]) ).
cnf(refute_0_806,plain,
( double_divide(X_62,X_61) != double_divide(double_divide(inverse(X_61),inverse(X_62)),identity)
| double_divide(X_62,X_61) = multiply(inverse(X_62),inverse(X_61)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_61),inverse(X_62)),identity),multiply(inverse(X_62),inverse(X_61))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
double_divide(X_62,X_61) = multiply(inverse(X_62),inverse(X_61)),
inference(resolve,[$cnf( $equal(double_divide(X_62,X_61),double_divide(double_divide(inverse(X_61),inverse(X_62)),identity)) )],[refute_0_795,refute_0_806]) ).
cnf(refute_0_808,plain,
double_divide(X_70,inverse(X_12)) = multiply(inverse(X_70),inverse(inverse(X_12))),
inference(subst,[],[refute_0_807:[bind(X_61,$fot(inverse(X_12))),bind(X_62,$fot(X_70))]]) ).
cnf(refute_0_809,plain,
( double_divide(X_70,inverse(X_12)) != multiply(inverse(X_70),inverse(inverse(X_12)))
| inverse(inverse(X_12)) != X_12
| double_divide(X_70,inverse(X_12)) = multiply(inverse(X_70),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_70,inverse(X_12)),multiply(inverse(X_70),inverse(inverse(X_12)))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_810,plain,
( double_divide(X_70,inverse(X_12)) != multiply(inverse(X_70),inverse(inverse(X_12)))
| double_divide(X_70,inverse(X_12)) = multiply(inverse(X_70),X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_475,refute_0_809]) ).
cnf(refute_0_811,plain,
double_divide(X_70,inverse(X_12)) = multiply(inverse(X_70),X_12),
inference(resolve,[$cnf( $equal(double_divide(X_70,inverse(X_12)),multiply(inverse(X_70),inverse(inverse(X_12)))) )],[refute_0_808,refute_0_810]) ).
cnf(refute_0_812,plain,
double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11),
inference(subst,[],[refute_0_811:[bind(X_12,$fot(X_11)),bind(X_70,$fot(double_divide(double_divide(X_11,X_10),X_12)))]]) ).
cnf(refute_0_813,plain,
( multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) != multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11)
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(Y0,$fot(multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11))),bind(Z0,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_814,plain,
( multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11)) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_646,refute_0_814]) ).
cnf(refute_0_816,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(Y0,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))))),bind(Z0,$fot(multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_817,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) )],[refute_0_645,refute_0_817]) ).
cnf(refute_0_819,plain,
double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))]]) ).
cnf(refute_0_820,plain,
( double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) ),[1,1],$fot(multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))]]) ).
cnf(refute_0_821,plain,
( double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) )],[refute_0_818,refute_0_821]) ).
cnf(refute_0_823,plain,
inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),
inference(subst,[],[refute_0_499:[bind(X,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_824,plain,
double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),
inference(subst,[],[refute_0_506:[bind(X_17,$fot(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))]]) ).
cnf(refute_0_825,plain,
( double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))),bind(Y0,$fot(inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))),bind(Z0,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_826,plain,
( inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
double_divide(X_70,multiply(X,Y)) = multiply(inverse(X_70),inverse(multiply(X,Y))),
inference(subst,[],[refute_0_807:[bind(X_61,$fot(multiply(X,Y))),bind(X_62,$fot(X_70))]]) ).
cnf(refute_0_829,plain,
( double_divide(X_70,multiply(X,Y)) != multiply(inverse(X_70),inverse(multiply(X,Y)))
| inverse(multiply(X,Y)) != double_divide(Y,X)
| double_divide(X_70,multiply(X,Y)) = multiply(inverse(X_70),double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_70,multiply(X,Y)),multiply(inverse(X_70),inverse(multiply(X,Y)))) ),[1,1],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_830,plain,
( double_divide(X_70,multiply(X,Y)) != multiply(inverse(X_70),inverse(multiply(X,Y)))
| double_divide(X_70,multiply(X,Y)) = multiply(inverse(X_70),double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),double_divide(Y,X)) )],[refute_0_499,refute_0_829]) ).
cnf(refute_0_831,plain,
double_divide(X_70,multiply(X,Y)) = multiply(inverse(X_70),double_divide(Y,X)),
inference(resolve,[$cnf( $equal(double_divide(X_70,multiply(X,Y)),multiply(inverse(X_70),inverse(multiply(X,Y)))) )],[refute_0_828,refute_0_830]) ).
cnf(refute_0_832,plain,
( double_divide(X_70,multiply(X,Y)) != multiply(inverse(X_70),double_divide(Y,X))
| multiply(inverse(X_70),double_divide(Y,X)) = double_divide(X_70,multiply(X,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_70,multiply(X,Y)))),bind(Y0,$fot(multiply(inverse(X_70),double_divide(Y,X))))]]) ).
cnf(refute_0_833,plain,
multiply(inverse(X_70),double_divide(Y,X)) = double_divide(X_70,multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(X_70,multiply(X,Y)),multiply(inverse(X_70),double_divide(Y,X))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),
inference(subst,[],[refute_0_833:[bind(X,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(Y,$fot(X_10)),bind(X_70,$fot(identity))]]) ).
cnf(refute_0_835,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y0,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))),bind(Z0,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_836,plain,
( double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) )],[refute_0_827,refute_0_836]) ).
cnf(refute_0_838,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y0,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),bind(Z0,$fot(double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_839,plain,
( double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) )],[refute_0_822,refute_0_839]) ).
cnf(refute_0_841,plain,
double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),
introduced(tautology,[refl,[$fot(double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))))]]) ).
cnf(refute_0_842,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) != double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) ),[1,1],$fot(double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_843,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) )],[refute_0_840,refute_0_843]) ).
cnf(refute_0_845,plain,
( double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) != double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))
| identity != double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| identity = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) ),[1],$fot(double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_846,plain,
( identity != double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| identity = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
identity = double_divide(X_12,double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))),
inference(resolve,[$cnf( $equal(identity,double_divide(X_12,multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) )],[refute_0_640,refute_0_846]) ).
cnf(refute_0_848,plain,
identity = double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))),
inference(subst,[],[refute_0_847:[bind(X_10,$fot(X_79)),bind(X_11,$fot(X_80)),bind(X_12,$fot(X_45))]]) ).
cnf(refute_0_849,plain,
( identity != double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))
| double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))))]]) ).
cnf(refute_0_850,plain,
double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
( multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))) != inverse(X_45)
| double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) != identity
| multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))),inverse(X_45)) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_852,plain,
( multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))) != inverse(X_45)
| multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))),identity) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = inverse(X_45),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),double_divide(X_45,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))),inverse(X_45)) )],[refute_0_628,refute_0_852]) ).
cnf(refute_0_854,plain,
multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) = double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))))]]) ).
cnf(refute_0_855,plain,
multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))),
inference(subst,[],[refute_0_545:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))))]]) ).
cnf(refute_0_856,plain,
( multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) != multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))
| multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) != double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))
| multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity))),bind(Y0,$fot(multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))))),bind(Z0,$fot(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))))]]) ).
cnf(refute_0_857,plain,
( multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) != double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))
| multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity),multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) = double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))),double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
( multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) != double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))
| multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) != inverse(X_45)
| double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity),inverse(X_45)) ),[0],$fot(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))))]]) ).
cnf(refute_0_860,plain,
( multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity) != inverse(X_45)
| double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity),double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79))))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))) = inverse(X_45),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_79,multiply(X_80,multiply(X_45,double_divide(X_80,X_79)))),identity),inverse(X_45)) )],[refute_0_853,refute_0_860]) ).
cnf(refute_0_862,plain,
double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) = inverse(X_82),
inference(subst,[],[refute_0_861:[bind(X_45,$fot(X_82)),bind(X_79,$fot(X_12)),bind(X_80,$fot(X_84))]]) ).
cnf(refute_0_863,plain,
( multiply(X_12,double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) != inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))
| double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) != inverse(X_82)
| multiply(X_12,inverse(X_82)) = inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))),inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) ),[0,1],$fot(inverse(X_82))]]) ).
cnf(refute_0_864,plain,
( multiply(X_12,double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) != inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))
| multiply(X_12,inverse(X_82)) = inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))),inverse(X_82)) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
multiply(X_12,inverse(X_82)) = inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))),
inference(resolve,[$cnf( $equal(multiply(X_12,double_divide(X_12,multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))),inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) )],[refute_0_620,refute_0_864]) ).
cnf(refute_0_866,plain,
double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(X_84)),bind(X_16,$fot(multiply(X_82,double_divide(X_84,X_12))))]]) ).
cnf(refute_0_867,plain,
inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) = double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_84)),bind(Y,$fot(multiply(X_82,double_divide(X_84,X_12))))]]) ).
cnf(refute_0_868,plain,
( double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84) != double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))
| inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) != double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84)
| inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))))),bind(Y0,$fot(double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84))),bind(Z0,$fot(double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))))]]) ).
cnf(refute_0_869,plain,
( double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84) != double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))
| inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))),double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84)) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_82,double_divide(X_84,X_12)),X_84),double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))) )],[refute_0_866,refute_0_869]) ).
cnf(refute_0_871,plain,
( multiply(X_12,inverse(X_82)) != inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))
| inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))) != double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))
| multiply(X_12,inverse(X_82)) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,inverse(X_82)),double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))) ),[0],$fot(inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))))]]) ).
cnf(refute_0_872,plain,
( multiply(X_12,inverse(X_82)) != inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))
| multiply(X_12,inverse(X_82)) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12)))),double_divide(X_84,multiply(X_82,double_divide(X_84,X_12)))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
multiply(X_12,inverse(X_82)) = double_divide(X_84,multiply(X_82,double_divide(X_84,X_12))),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(X_82)),inverse(multiply(X_84,multiply(X_82,double_divide(X_84,X_12))))) )],[refute_0_865,refute_0_872]) ).
cnf(refute_0_874,plain,
multiply(X_12,inverse(double_divide(X_129,X_84))) = double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))),
inference(subst,[],[refute_0_873:[bind(X_82,$fot(double_divide(X_129,X_84)))]]) ).
cnf(refute_0_875,plain,
multiply(X_12,double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) = inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))),
inference(subst,[],[refute_0_619:[bind(X_43,$fot(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))))]]) ).
cnf(refute_0_876,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,double_divide(multiply(X_90,X_89),double_divide(X_90,X_89))))) = inverse(X_45),
inference(subst,[],[refute_0_861:[bind(X_79,$fot(double_divide(X_90,X_89))),bind(X_80,$fot(multiply(X_90,X_89)))]]) ).
cnf(refute_0_877,plain,
multiply(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) = identity,
inference(subst,[],[refute_0_751:[bind(X_12,$fot(double_divide(X_58,X_57))),bind(X_56,$fot(multiply(X_58,X_57)))]]) ).
cnf(refute_0_878,plain,
multiply(multiply(X_58,X_57),double_divide(X_58,X_57)) = identity,
inference(subst,[],[refute_0_751:[bind(X_12,$fot(X_57)),bind(X_56,$fot(X_58))]]) ).
cnf(refute_0_879,plain,
( multiply(multiply(X_58,X_57),double_divide(X_58,X_57)) != identity
| multiply(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) != identity
| multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))),identity) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_880,plain,
( multiply(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) != identity
| multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),identity) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_58,X_57),double_divide(X_58,X_57)),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))),identity) )],[refute_0_877,refute_0_880]) ).
cnf(refute_0_882,plain,
multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) = double_divide(multiply(X_58,X_57),double_divide(X_58,X_57)),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))))]]) ).
cnf(refute_0_883,plain,
( multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) != double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))
| multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) != identity
| double_divide(multiply(X_58,X_57),double_divide(X_58,X_57)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))),identity) ),[0],$fot(double_divide(multiply(X_58,X_57),double_divide(X_58,X_57)))]]) ).
cnf(refute_0_884,plain,
( multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) != identity
| double_divide(multiply(X_58,X_57),double_divide(X_58,X_57)) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))),double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
double_divide(multiply(X_58,X_57),double_divide(X_58,X_57)) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(multiply(X_58,X_57),double_divide(X_58,X_57))),identity) )],[refute_0_881,refute_0_884]) ).
cnf(refute_0_886,plain,
double_divide(multiply(X_90,X_89),double_divide(X_90,X_89)) = identity,
inference(subst,[],[refute_0_885:[bind(X_57,$fot(X_89)),bind(X_58,$fot(X_90))]]) ).
cnf(refute_0_887,plain,
( double_divide(multiply(X_90,X_89),double_divide(X_90,X_89)) != identity
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,double_divide(multiply(X_90,X_89),double_divide(X_90,X_89))))) != inverse(X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,double_divide(multiply(X_90,X_89),double_divide(X_90,X_89))))),inverse(X_45)) ),[0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_888,plain,
( double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,double_divide(multiply(X_90,X_89),double_divide(X_90,X_89))))) != inverse(X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_90,X_89),double_divide(X_90,X_89)),identity) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = inverse(X_45),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,double_divide(multiply(X_90,X_89),double_divide(X_90,X_89))))),inverse(X_45)) )],[refute_0_876,refute_0_888]) ).
cnf(refute_0_890,plain,
multiply(X_45,identity) = X_45,
inference(subst,[],[refute_0_558:[bind(X_10,$fot(X_45))]]) ).
cnf(refute_0_891,plain,
multiply(multiply(X_90,X_89),multiply(X_45,identity)) = multiply(multiply(X_90,X_89),multiply(X_45,identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_90,X_89),multiply(X_45,identity)))]]) ).
cnf(refute_0_892,plain,
( multiply(X_45,identity) != X_45
| multiply(multiply(X_90,X_89),multiply(X_45,identity)) != multiply(multiply(X_90,X_89),multiply(X_45,identity))
| multiply(multiply(X_90,X_89),multiply(X_45,identity)) = multiply(multiply(X_90,X_89),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_90,X_89),multiply(X_45,identity)),multiply(multiply(X_90,X_89),multiply(X_45,identity))) ),[1,1],$fot(X_45)]]) ).
cnf(refute_0_893,plain,
( multiply(X_45,identity) != X_45
| multiply(multiply(X_90,X_89),multiply(X_45,identity)) = multiply(multiply(X_90,X_89),X_45) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_89),multiply(X_45,identity)),multiply(multiply(X_90,X_89),multiply(X_45,identity))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
multiply(multiply(X_90,X_89),multiply(X_45,identity)) = multiply(multiply(X_90,X_89),X_45),
inference(resolve,[$cnf( $equal(multiply(X_45,identity),X_45) )],[refute_0_890,refute_0_893]) ).
cnf(refute_0_895,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))))]]) ).
cnf(refute_0_896,plain,
( multiply(multiply(X_90,X_89),multiply(X_45,identity)) != multiply(multiply(X_90,X_89),X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) != double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity)))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity)))) ),[1,1],$fot(multiply(multiply(X_90,X_89),X_45))]]) ).
cnf(refute_0_897,plain,
( multiply(multiply(X_90,X_89),multiply(X_45,identity)) != multiply(multiply(X_90,X_89),X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity)))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) = double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_89),multiply(X_45,identity)),multiply(multiply(X_90,X_89),X_45)) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
( double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) != double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) != inverse(X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),inverse(X_45)) ),[0],$fot(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)))]]) ).
cnf(refute_0_900,plain,
( double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))) != inverse(X_45)
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = inverse(X_45),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),multiply(X_45,identity))),inverse(X_45)) )],[refute_0_889,refute_0_900]) ).
cnf(refute_0_902,plain,
multiply(multiply(double_divide(X_90,X_89),X_45),X_89) = multiply(X_89,multiply(double_divide(X_90,X_89),X_45)),
inference(subst,[],[refute_0_545:[bind(X,$fot(X_89)),bind(Y,$fot(multiply(double_divide(X_90,X_89),X_45)))]]) ).
cnf(refute_0_903,plain,
double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) = double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),
introduced(tautology,[refl,[$fot(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)))]]) ).
cnf(refute_0_904,plain,
( multiply(multiply(double_divide(X_90,X_89),X_45),X_89) != multiply(X_89,multiply(double_divide(X_90,X_89),X_45))
| double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) != double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))
| double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))) ),[1,1],$fot(multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))]]) ).
cnf(refute_0_905,plain,
( multiply(multiply(double_divide(X_90,X_89),X_45),X_89) != multiply(X_89,multiply(double_divide(X_90,X_89),X_45))
| double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_90,X_89),X_45),X_89),multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) )],[refute_0_902,refute_0_905]) ).
cnf(refute_0_907,plain,
double_divide(X_79,multiply(multiply(X_101,X_100),multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)))) = inverse(multiply(X_101,multiply(X_79,X_100))),
inference(subst,[],[refute_0_861:[bind(X_45,$fot(multiply(X_101,multiply(X_79,X_100)))),bind(X_80,$fot(multiply(X_101,X_100)))]]) ).
cnf(refute_0_908,plain,
identity = double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_45,X_80)))))),
inference(subst,[],[refute_0_847:[bind(X_10,$fot(double_divide(X_45,X_80))),bind(X_11,$fot(X_80)),bind(X_12,$fot(X_81))]]) ).
cnf(refute_0_909,plain,
X_45 = double_divide(X_80,double_divide(X_45,X_80)),
inference(subst,[],[refute_0_661:[bind(X_50,$fot(X_80))]]) ).
cnf(refute_0_910,plain,
( X_45 != double_divide(X_80,double_divide(X_45,X_80))
| double_divide(X_80,double_divide(X_45,X_80)) = X_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_45)),bind(Y0,$fot(double_divide(X_80,double_divide(X_45,X_80))))]]) ).
cnf(refute_0_911,plain,
double_divide(X_80,double_divide(X_45,X_80)) = X_45,
inference(resolve,[$cnf( $equal(X_45,double_divide(X_80,double_divide(X_45,X_80))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
( double_divide(X_80,double_divide(X_45,X_80)) != X_45
| identity != double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_45,X_80))))))
| identity = double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_45,X_80))))))) ),[1,1,1,1,1],$fot(X_45)]]) ).
cnf(refute_0_913,plain,
( identity != double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_45,X_80))))))
| identity = double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_80,double_divide(X_45,X_80)),X_45) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
identity = double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))),
inference(resolve,[$cnf( $equal(identity,double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_45,X_80))))))) )],[refute_0_908,refute_0_913]) ).
cnf(refute_0_915,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),inverse(double_divide(Y,X)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(double_divide(Y,X))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_916,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),inverse(double_divide(Y,X)))),inverse(identity)) != X_12
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),inverse(double_divide(Y,X)))),inverse(identity)),X_12) ),[0,0,1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_917,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),inverse(double_divide(Y,X)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_58,refute_0_916]) ).
cnf(refute_0_918,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),inverse(double_divide(Y,X)))),inverse(identity)),X_12) )],[refute_0_915,refute_0_917]) ).
cnf(refute_0_919,plain,
inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),
inference(subst,[],[refute_0_58:[bind(X,$fot(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_920,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) = inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))))]]) ).
cnf(refute_0_921,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) != inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))))
| inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) != multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))))),bind(Z0,$fot(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)))]]) ).
cnf(refute_0_922,plain,
( inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) != multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity),inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))))) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))),multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)) )],[refute_0_919,refute_0_922]) ).
cnf(refute_0_924,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)))]]) ).
cnf(refute_0_925,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_926,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_187,refute_0_926]) ).
cnf(refute_0_928,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) != multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity))),bind(Z0,$fot(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)))]]) ).
cnf(refute_0_929,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity) != multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity)) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),identity),multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)) )],[refute_0_923,refute_0_929]) ).
cnf(refute_0_931,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) != multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)
| multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10))]]) ).
cnf(refute_0_932,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10)) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),inverse(identity)),X_12) )],[refute_0_918,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) = multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),
inference(subst,[],[refute_0_407:[bind(X_10,$fot(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_935,plain,
( multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) != X_12
| multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) != multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),X_12) ),[0],$fot(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))))]]) ).
cnf(refute_0_936,plain,
( multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10) != X_12
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),X_10),X_12) )],[refute_0_933,refute_0_936]) ).
cnf(refute_0_938,plain,
double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)) = double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12)),
inference(subst,[],[refute_0_656:[bind(X_15,$fot(multiply(X,Y))),bind(X_16,$fot(double_divide(double_divide(double_divide(Y,X),X_10),X_12)))]]) ).
cnf(refute_0_939,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),
introduced(tautology,[refl,[$fot(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))))]]) ).
cnf(refute_0_940,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) != multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))
| double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)) != double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) ),[1,1],$fot(double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12)))]]) ).
cnf(refute_0_941,plain,
( double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)) != double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) = multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y)),double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) )],[refute_0_938,refute_0_941]) ).
cnf(refute_0_943,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) != X_12
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) != multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12)))
| multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),X_12) ),[0],$fot(multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))))]]) ).
cnf(refute_0_944,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))) != X_12
| multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12)))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
multiply(X_10,double_divide(multiply(X,Y),double_divide(double_divide(double_divide(Y,X),X_10),X_12))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(Y,X),X_10),X_12),multiply(X,Y))),X_12) )],[refute_0_937,refute_0_944]) ).
cnf(refute_0_946,plain,
multiply(X_95,double_divide(multiply(X_93,X_94),double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))) = double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)),
inference(subst,[],[refute_0_945:[bind(X,$fot(X_93)),bind(Y,$fot(X_94)),bind(X_10,$fot(X_95)),bind(X_12,$fot(double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))]]) ).
cnf(refute_0_947,plain,
X_45 = double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))),
inference(subst,[],[refute_0_661:[bind(X_50,$fot(double_divide(double_divide(X_94,X_93),X_95)))]]) ).
cnf(refute_0_948,plain,
( X_45 != double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)))
| double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) = X_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_45)),bind(Y0,$fot(double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)))))]]) ).
cnf(refute_0_949,plain,
double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) = X_45,
inference(resolve,[$cnf( $equal(X_45,double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
( multiply(X_95,double_divide(multiply(X_93,X_94),double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))) != double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))
| double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) != X_45
| multiply(X_95,double_divide(multiply(X_93,X_94),X_45)) = double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,double_divide(multiply(X_93,X_94),double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) ),[0,1,1],$fot(X_45)]]) ).
cnf(refute_0_951,plain,
( multiply(X_95,double_divide(multiply(X_93,X_94),double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))) != double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))
| multiply(X_95,double_divide(multiply(X_93,X_94),X_45)) = double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))),X_45) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
multiply(X_95,double_divide(multiply(X_93,X_94),X_45)) = double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)),
inference(resolve,[$cnf( $equal(multiply(X_95,double_divide(multiply(X_93,X_94),double_divide(double_divide(double_divide(X_94,X_93),X_95),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) )],[refute_0_946,refute_0_951]) ).
cnf(refute_0_953,plain,
( multiply(X_95,double_divide(multiply(X_93,X_94),X_45)) != double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))
| double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)) = multiply(X_95,double_divide(multiply(X_93,X_94),X_45)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_95,double_divide(multiply(X_93,X_94),X_45)))),bind(Y0,$fot(double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))))]]) ).
cnf(refute_0_954,plain,
double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95)) = multiply(X_95,double_divide(multiply(X_93,X_94),X_45)),
inference(resolve,[$cnf( $equal(multiply(X_95,double_divide(multiply(X_93,X_94),X_45)),double_divide(X_45,double_divide(double_divide(X_94,X_93),X_95))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))) = multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81)),
inference(subst,[],[refute_0_954:[bind(X_45,$fot(X_81)),bind(X_93,$fot(X_80)),bind(X_94,$fot(X_45)),bind(X_95,$fot(multiply(X_80,multiply(X_81,X_45))))]]) ).
cnf(refute_0_956,plain,
( double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))) != multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81))
| identity != double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45))))
| identity = multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45))))) ),[1],$fot(multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81)))]]) ).
cnf(refute_0_957,plain,
( identity != double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45))))
| identity = multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81)) ),
inference(resolve,[$cnf( $equal(double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45)))),multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81))) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
identity = multiply(multiply(X_80,multiply(X_81,X_45)),double_divide(multiply(X_80,X_45),X_81)),
inference(resolve,[$cnf( $equal(identity,double_divide(X_81,double_divide(double_divide(X_45,X_80),multiply(X_80,multiply(X_81,X_45))))) )],[refute_0_914,refute_0_957]) ).
cnf(refute_0_959,plain,
identity = multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)),
inference(subst,[],[refute_0_958:[bind(X_45,$fot(X_100)),bind(X_80,$fot(X_101)),bind(X_81,$fot(X_79))]]) ).
cnf(refute_0_960,plain,
( identity != multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79))
| multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79))))]]) ).
cnf(refute_0_961,plain,
multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
( multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)) != identity
| double_divide(X_79,multiply(multiply(X_101,X_100),multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)))) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = inverse(multiply(X_101,multiply(X_79,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)))),inverse(multiply(X_101,multiply(X_79,X_100)))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_963,plain,
( double_divide(X_79,multiply(multiply(X_101,X_100),multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)))) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = inverse(multiply(X_101,multiply(X_79,X_100))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)),identity) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = inverse(multiply(X_101,multiply(X_79,X_100))),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),multiply(multiply(X_101,multiply(X_79,X_100)),double_divide(multiply(X_101,X_100),X_79)))),inverse(multiply(X_101,multiply(X_79,X_100)))) )],[refute_0_907,refute_0_963]) ).
cnf(refute_0_965,plain,
multiply(identity,multiply(X_101,X_100)) = multiply(X_101,X_100),
inference(subst,[],[refute_0_479:[bind(X_3,$fot(multiply(X_101,X_100)))]]) ).
cnf(refute_0_966,plain,
multiply(multiply(X_101,X_100),identity) = multiply(identity,multiply(X_101,X_100)),
inference(subst,[],[refute_0_545:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_101,X_100)))]]) ).
cnf(refute_0_967,plain,
( multiply(multiply(X_101,X_100),identity) != multiply(identity,multiply(X_101,X_100))
| multiply(identity,multiply(X_101,X_100)) != multiply(X_101,X_100)
| multiply(multiply(X_101,X_100),identity) = multiply(X_101,X_100) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(multiply(X_101,X_100),identity))),bind(Y0,$fot(multiply(identity,multiply(X_101,X_100)))),bind(Z0,$fot(multiply(X_101,X_100)))]]) ).
cnf(refute_0_968,plain,
( multiply(identity,multiply(X_101,X_100)) != multiply(X_101,X_100)
| multiply(multiply(X_101,X_100),identity) = multiply(X_101,X_100) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_101,X_100),identity),multiply(identity,multiply(X_101,X_100))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
multiply(multiply(X_101,X_100),identity) = multiply(X_101,X_100),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_101,X_100)),multiply(X_101,X_100)) )],[refute_0_965,refute_0_968]) ).
cnf(refute_0_970,plain,
double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = double_divide(X_79,multiply(multiply(X_101,X_100),identity)),
introduced(tautology,[refl,[$fot(double_divide(X_79,multiply(multiply(X_101,X_100),identity)))]]) ).
cnf(refute_0_971,plain,
( multiply(multiply(X_101,X_100),identity) != multiply(X_101,X_100)
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) != double_divide(X_79,multiply(multiply(X_101,X_100),identity))
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = double_divide(X_79,multiply(X_101,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),identity)),double_divide(X_79,multiply(multiply(X_101,X_100),identity))) ),[1,1],$fot(multiply(X_101,X_100))]]) ).
cnf(refute_0_972,plain,
( multiply(multiply(X_101,X_100),identity) != multiply(X_101,X_100)
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = double_divide(X_79,multiply(X_101,X_100)) ),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),identity)),double_divide(X_79,multiply(multiply(X_101,X_100),identity))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
double_divide(X_79,multiply(multiply(X_101,X_100),identity)) = double_divide(X_79,multiply(X_101,X_100)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_101,X_100),identity),multiply(X_101,X_100)) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( double_divide(X_79,multiply(multiply(X_101,X_100),identity)) != double_divide(X_79,multiply(X_101,X_100))
| double_divide(X_79,multiply(multiply(X_101,X_100),identity)) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(X_101,X_100)) = inverse(multiply(X_101,multiply(X_79,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),identity)),inverse(multiply(X_101,multiply(X_79,X_100)))) ),[0],$fot(double_divide(X_79,multiply(X_101,X_100)))]]) ).
cnf(refute_0_975,plain,
( double_divide(X_79,multiply(multiply(X_101,X_100),identity)) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(X_101,X_100)) = inverse(multiply(X_101,multiply(X_79,X_100))) ),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),identity)),double_divide(X_79,multiply(X_101,X_100))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
inverse(multiply(X_101,multiply(X_79,X_100))) = double_divide(multiply(X_79,X_100),X_101),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_101)),bind(Y,$fot(multiply(X_79,X_100)))]]) ).
cnf(refute_0_977,plain,
( double_divide(X_79,multiply(X_101,X_100)) != inverse(multiply(X_101,multiply(X_79,X_100)))
| inverse(multiply(X_101,multiply(X_79,X_100))) != double_divide(multiply(X_79,X_100),X_101)
| double_divide(X_79,multiply(X_101,X_100)) = double_divide(multiply(X_79,X_100),X_101) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_79,multiply(X_101,X_100)),double_divide(multiply(X_79,X_100),X_101)) ),[0],$fot(inverse(multiply(X_101,multiply(X_79,X_100))))]]) ).
cnf(refute_0_978,plain,
( double_divide(X_79,multiply(X_101,X_100)) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(X_101,X_100)) = double_divide(multiply(X_79,X_100),X_101) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_101,multiply(X_79,X_100))),double_divide(multiply(X_79,X_100),X_101)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
( double_divide(X_79,multiply(multiply(X_101,X_100),identity)) != inverse(multiply(X_101,multiply(X_79,X_100)))
| double_divide(X_79,multiply(X_101,X_100)) = double_divide(multiply(X_79,X_100),X_101) ),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(X_101,X_100)),inverse(multiply(X_101,multiply(X_79,X_100)))) )],[refute_0_975,refute_0_978]) ).
cnf(refute_0_980,plain,
double_divide(X_79,multiply(X_101,X_100)) = double_divide(multiply(X_79,X_100),X_101),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(multiply(X_101,X_100),identity)),inverse(multiply(X_101,multiply(X_79,X_100)))) )],[refute_0_964,refute_0_979]) ).
cnf(refute_0_981,plain,
( double_divide(X_79,multiply(X_101,X_100)) != double_divide(multiply(X_79,X_100),X_101)
| double_divide(multiply(X_79,X_100),X_101) = double_divide(X_79,multiply(X_101,X_100)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_79,multiply(X_101,X_100)))),bind(Y0,$fot(double_divide(multiply(X_79,X_100),X_101)))]]) ).
cnf(refute_0_982,plain,
double_divide(multiply(X_79,X_100),X_101) = double_divide(X_79,multiply(X_101,X_100)),
inference(resolve,[$cnf( $equal(double_divide(X_79,multiply(X_101,X_100)),double_divide(multiply(X_79,X_100),X_101)) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)) = double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),
inference(subst,[],[refute_0_982:[bind(X_100,$fot(X_89)),bind(X_101,$fot(multiply(double_divide(X_90,X_89),X_45))),bind(X_79,$fot(X_90))]]) ).
cnf(refute_0_984,plain,
multiply(double_divide(X_106,X_108),double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106)))) = inverse(multiply(X_108,multiply(X_107,X_106))),
inference(subst,[],[refute_0_619:[bind(X_12,$fot(double_divide(X_106,X_108))),bind(X_43,$fot(multiply(X_108,multiply(X_107,X_106))))]]) ).
cnf(refute_0_985,plain,
double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,double_divide(X_84,double_divide(X_45,X_84))))) = inverse(X_82),
inference(subst,[],[refute_0_861:[bind(X_45,$fot(X_82)),bind(X_79,$fot(double_divide(X_45,X_84))),bind(X_80,$fot(X_84))]]) ).
cnf(refute_0_986,plain,
X_45 = double_divide(X_84,double_divide(X_45,X_84)),
inference(subst,[],[refute_0_661:[bind(X_50,$fot(X_84))]]) ).
cnf(refute_0_987,plain,
( X_45 != double_divide(X_84,double_divide(X_45,X_84))
| double_divide(X_84,double_divide(X_45,X_84)) = X_45 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_45)),bind(Y0,$fot(double_divide(X_84,double_divide(X_45,X_84))))]]) ).
cnf(refute_0_988,plain,
double_divide(X_84,double_divide(X_45,X_84)) = X_45,
inference(resolve,[$cnf( $equal(X_45,double_divide(X_84,double_divide(X_45,X_84))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
( double_divide(X_84,double_divide(X_45,X_84)) != X_45
| double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,double_divide(X_84,double_divide(X_45,X_84))))) != inverse(X_82)
| double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,X_45))) = inverse(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,double_divide(X_84,double_divide(X_45,X_84))))),inverse(X_82)) ),[0,1,1,1],$fot(X_45)]]) ).
cnf(refute_0_990,plain,
( double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,double_divide(X_84,double_divide(X_45,X_84))))) != inverse(X_82)
| double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,X_45))) = inverse(X_82) ),
inference(resolve,[$cnf( $equal(double_divide(X_84,double_divide(X_45,X_84)),X_45) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,X_45))) = inverse(X_82),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_45,X_84),multiply(X_84,multiply(X_82,double_divide(X_84,double_divide(X_45,X_84))))),inverse(X_82)) )],[refute_0_985,refute_0_990]) ).
cnf(refute_0_992,plain,
double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106))) = inverse(X_107),
inference(subst,[],[refute_0_991:[bind(X_45,$fot(X_106)),bind(X_82,$fot(X_107)),bind(X_84,$fot(X_108))]]) ).
cnf(refute_0_993,plain,
( multiply(double_divide(X_106,X_108),double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106)))) != inverse(multiply(X_108,multiply(X_107,X_106)))
| double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106))) != inverse(X_107)
| multiply(double_divide(X_106,X_108),inverse(X_107)) = inverse(multiply(X_108,multiply(X_107,X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_106,X_108),double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106)))),inverse(multiply(X_108,multiply(X_107,X_106)))) ),[0,1],$fot(inverse(X_107))]]) ).
cnf(refute_0_994,plain,
( multiply(double_divide(X_106,X_108),double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106)))) != inverse(multiply(X_108,multiply(X_107,X_106)))
| multiply(double_divide(X_106,X_108),inverse(X_107)) = inverse(multiply(X_108,multiply(X_107,X_106))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106))),inverse(X_107)) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
multiply(double_divide(X_106,X_108),inverse(X_107)) = inverse(multiply(X_108,multiply(X_107,X_106))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_106,X_108),double_divide(double_divide(X_106,X_108),multiply(X_108,multiply(X_107,X_106)))),inverse(multiply(X_108,multiply(X_107,X_106)))) )],[refute_0_984,refute_0_994]) ).
cnf(refute_0_996,plain,
double_divide(multiply(X,Y),X_69) = multiply(inverse(multiply(X,Y)),inverse(X_69)),
inference(subst,[],[refute_0_807:[bind(X_61,$fot(X_69)),bind(X_62,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_997,plain,
( double_divide(multiply(X,Y),X_69) != multiply(inverse(multiply(X,Y)),inverse(X_69))
| inverse(multiply(X,Y)) != double_divide(Y,X)
| double_divide(multiply(X,Y),X_69) = multiply(double_divide(Y,X),inverse(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,Y),X_69),multiply(inverse(multiply(X,Y)),inverse(X_69))) ),[1,0],$fot(double_divide(Y,X))]]) ).
cnf(refute_0_998,plain,
( double_divide(multiply(X,Y),X_69) != multiply(inverse(multiply(X,Y)),inverse(X_69))
| double_divide(multiply(X,Y),X_69) = multiply(double_divide(Y,X),inverse(X_69)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,Y)),double_divide(Y,X)) )],[refute_0_499,refute_0_997]) ).
cnf(refute_0_999,plain,
double_divide(multiply(X,Y),X_69) = multiply(double_divide(Y,X),inverse(X_69)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),X_69),multiply(inverse(multiply(X,Y)),inverse(X_69))) )],[refute_0_996,refute_0_998]) ).
cnf(refute_0_1000,plain,
double_divide(multiply(X,Y),X_69) = double_divide(X,multiply(X_69,Y)),
inference(subst,[],[refute_0_982:[bind(X_100,$fot(Y)),bind(X_101,$fot(X_69)),bind(X_79,$fot(X))]]) ).
cnf(refute_0_1001,plain,
( double_divide(multiply(X,Y),X_69) != multiply(double_divide(Y,X),inverse(X_69))
| double_divide(multiply(X,Y),X_69) != double_divide(X,multiply(X_69,Y))
| double_divide(X,multiply(X_69,Y)) = multiply(double_divide(Y,X),inverse(X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,Y),X_69),multiply(double_divide(Y,X),inverse(X_69))) ),[0],$fot(double_divide(X,multiply(X_69,Y)))]]) ).
cnf(refute_0_1002,plain,
( double_divide(multiply(X,Y),X_69) != multiply(double_divide(Y,X),inverse(X_69))
| double_divide(X,multiply(X_69,Y)) = multiply(double_divide(Y,X),inverse(X_69)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),X_69),double_divide(X,multiply(X_69,Y))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
double_divide(X,multiply(X_69,Y)) = multiply(double_divide(Y,X),inverse(X_69)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),X_69),multiply(double_divide(Y,X),inverse(X_69))) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( double_divide(X,multiply(X_69,Y)) != multiply(double_divide(Y,X),inverse(X_69))
| multiply(double_divide(Y,X),inverse(X_69)) = double_divide(X,multiply(X_69,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X,multiply(X_69,Y)))),bind(Y0,$fot(multiply(double_divide(Y,X),inverse(X_69))))]]) ).
cnf(refute_0_1005,plain,
multiply(double_divide(Y,X),inverse(X_69)) = double_divide(X,multiply(X_69,Y)),
inference(resolve,[$cnf( $equal(double_divide(X,multiply(X_69,Y)),multiply(double_divide(Y,X),inverse(X_69))) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
multiply(double_divide(X_106,X_108),inverse(X_107)) = double_divide(X_108,multiply(X_107,X_106)),
inference(subst,[],[refute_0_1005:[bind(X,$fot(X_108)),bind(Y,$fot(X_106)),bind(X_69,$fot(X_107))]]) ).
cnf(refute_0_1007,plain,
( multiply(double_divide(X_106,X_108),inverse(X_107)) != double_divide(X_108,multiply(X_107,X_106))
| multiply(double_divide(X_106,X_108),inverse(X_107)) != inverse(multiply(X_108,multiply(X_107,X_106)))
| double_divide(X_108,multiply(X_107,X_106)) = inverse(multiply(X_108,multiply(X_107,X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_106,X_108),inverse(X_107)),inverse(multiply(X_108,multiply(X_107,X_106)))) ),[0],$fot(double_divide(X_108,multiply(X_107,X_106)))]]) ).
cnf(refute_0_1008,plain,
( multiply(double_divide(X_106,X_108),inverse(X_107)) != inverse(multiply(X_108,multiply(X_107,X_106)))
| double_divide(X_108,multiply(X_107,X_106)) = inverse(multiply(X_108,multiply(X_107,X_106))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_106,X_108),inverse(X_107)),double_divide(X_108,multiply(X_107,X_106))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
double_divide(multiply(X_107,X_106),X_108) = double_divide(X_107,multiply(X_108,X_106)),
inference(subst,[],[refute_0_982:[bind(X_100,$fot(X_106)),bind(X_101,$fot(X_108)),bind(X_79,$fot(X_107))]]) ).
cnf(refute_0_1010,plain,
inverse(multiply(X_108,multiply(X_107,X_106))) = double_divide(multiply(X_107,X_106),X_108),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_108)),bind(Y,$fot(multiply(X_107,X_106)))]]) ).
cnf(refute_0_1011,plain,
( double_divide(multiply(X_107,X_106),X_108) != double_divide(X_107,multiply(X_108,X_106))
| inverse(multiply(X_108,multiply(X_107,X_106))) != double_divide(multiply(X_107,X_106),X_108)
| inverse(multiply(X_108,multiply(X_107,X_106))) = double_divide(X_107,multiply(X_108,X_106)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(X_108,multiply(X_107,X_106))))),bind(Y0,$fot(double_divide(multiply(X_107,X_106),X_108))),bind(Z0,$fot(double_divide(X_107,multiply(X_108,X_106))))]]) ).
cnf(refute_0_1012,plain,
( double_divide(multiply(X_107,X_106),X_108) != double_divide(X_107,multiply(X_108,X_106))
| inverse(multiply(X_108,multiply(X_107,X_106))) = double_divide(X_107,multiply(X_108,X_106)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_108,multiply(X_107,X_106))),double_divide(multiply(X_107,X_106),X_108)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
inverse(multiply(X_108,multiply(X_107,X_106))) = double_divide(X_107,multiply(X_108,X_106)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_107,X_106),X_108),double_divide(X_107,multiply(X_108,X_106))) )],[refute_0_1009,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( double_divide(X_108,multiply(X_107,X_106)) != inverse(multiply(X_108,multiply(X_107,X_106)))
| inverse(multiply(X_108,multiply(X_107,X_106))) != double_divide(X_107,multiply(X_108,X_106))
| double_divide(X_108,multiply(X_107,X_106)) = double_divide(X_107,multiply(X_108,X_106)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_108,multiply(X_107,X_106)),double_divide(X_107,multiply(X_108,X_106))) ),[0],$fot(inverse(multiply(X_108,multiply(X_107,X_106))))]]) ).
cnf(refute_0_1015,plain,
( double_divide(X_108,multiply(X_107,X_106)) != inverse(multiply(X_108,multiply(X_107,X_106)))
| double_divide(X_108,multiply(X_107,X_106)) = double_divide(X_107,multiply(X_108,X_106)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_108,multiply(X_107,X_106))),double_divide(X_107,multiply(X_108,X_106))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( multiply(double_divide(X_106,X_108),inverse(X_107)) != inverse(multiply(X_108,multiply(X_107,X_106)))
| double_divide(X_108,multiply(X_107,X_106)) = double_divide(X_107,multiply(X_108,X_106)) ),
inference(resolve,[$cnf( $equal(double_divide(X_108,multiply(X_107,X_106)),inverse(multiply(X_108,multiply(X_107,X_106)))) )],[refute_0_1008,refute_0_1015]) ).
cnf(refute_0_1017,plain,
double_divide(X_108,multiply(X_107,X_106)) = double_divide(X_107,multiply(X_108,X_106)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_106,X_108),inverse(X_107)),inverse(multiply(X_108,multiply(X_107,X_106)))) )],[refute_0_995,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( double_divide(X_108,multiply(X_107,X_106)) != double_divide(X_107,multiply(X_108,X_106))
| double_divide(X_107,multiply(X_108,X_106)) = double_divide(X_108,multiply(X_107,X_106)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_108,multiply(X_107,X_106)))),bind(Y0,$fot(double_divide(X_107,multiply(X_108,X_106))))]]) ).
cnf(refute_0_1019,plain,
double_divide(X_107,multiply(X_108,X_106)) = double_divide(X_108,multiply(X_107,X_106)),
inference(resolve,[$cnf( $equal(double_divide(X_108,multiply(X_107,X_106)),double_divide(X_107,multiply(X_108,X_106))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)),
inference(subst,[],[refute_0_1019:[bind(X_106,$fot(X_45)),bind(X_107,$fot(double_divide(X_90,X_89))),bind(X_108,$fot(multiply(X_90,X_89)))]]) ).
cnf(refute_0_1021,plain,
( double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)) != double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) != double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)))),bind(Y0,$fot(double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)))),bind(Z0,$fot(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))))]]) ).
cnf(refute_0_1022,plain,
( double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)) != double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_90,X_89),multiply(double_divide(X_90,X_89),X_45)),double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))) )],[refute_0_983,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) != double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) != double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)))),bind(Y0,$fot(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)))),bind(Z0,$fot(double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))))]]) ).
cnf(refute_0_1025,plain,
( double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)) != double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) = double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))),
inference(resolve,[$cnf( $equal(double_divide(X_90,multiply(multiply(double_divide(X_90,X_89),X_45),X_89)),double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))) )],[refute_0_906,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) != double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))
| double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) != inverse(X_45)
| double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),inverse(X_45)) ),[0],$fot(double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))))]]) ).
cnf(refute_0_1028,plain,
( double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)) != inverse(X_45)
| double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45)))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
double_divide(X_90,multiply(X_89,multiply(double_divide(X_90,X_89),X_45))) = inverse(X_45),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_89),multiply(multiply(X_90,X_89),X_45)),inverse(X_45)) )],[refute_0_901,refute_0_1028]) ).
cnf(refute_0_1030,plain,
double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) = inverse(X_115),
inference(subst,[],[refute_0_1029:[bind(X_45,$fot(X_115)),bind(X_89,$fot(X_116)),bind(X_90,$fot(X_12))]]) ).
cnf(refute_0_1031,plain,
( multiply(X_12,double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) != inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))
| double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) != inverse(X_115)
| multiply(X_12,inverse(X_115)) = inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))),inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) ),[0,1],$fot(inverse(X_115))]]) ).
cnf(refute_0_1032,plain,
( multiply(X_12,double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) != inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))
| multiply(X_12,inverse(X_115)) = inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115))),inverse(X_115)) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiply(X_12,inverse(X_115)) = inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))),
inference(resolve,[$cnf( $equal(multiply(X_12,double_divide(X_12,multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))),inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) )],[refute_0_875,refute_0_1032]) ).
cnf(refute_0_1034,plain,
double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)),
inference(subst,[],[refute_0_1019:[bind(X_106,$fot(X_115)),bind(X_107,$fot(double_divide(X_12,X_116))),bind(X_108,$fot(X_116))]]) ).
cnf(refute_0_1035,plain,
double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) = double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)),
inference(subst,[],[refute_0_982:[bind(X_100,$fot(X_115)),bind(X_101,$fot(X_116)),bind(X_79,$fot(double_divide(X_12,X_116)))]]) ).
cnf(refute_0_1036,plain,
( double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) != double_divide(double_divide(X_12,X_116),multiply(X_116,X_115))
| double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)) != double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))
| double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(multiply(double_divide(X_12,X_116),X_115),X_116))),bind(Y0,$fot(double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)))),bind(Z0,$fot(double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))))]]) ).
cnf(refute_0_1037,plain,
( double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)) != double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))
| double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_12,X_116),X_115),X_116),double_divide(double_divide(X_12,X_116),multiply(X_116,X_115))) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,X_116),multiply(X_116,X_115)),double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))) )],[refute_0_1034,refute_0_1037]) ).
cnf(refute_0_1039,plain,
inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) = double_divide(multiply(double_divide(X_12,X_116),X_115),X_116),
inference(subst,[],[refute_0_499:[bind(X,$fot(X_116)),bind(Y,$fot(multiply(double_divide(X_12,X_116),X_115)))]]) ).
cnf(refute_0_1040,plain,
( double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) != double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))
| inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) != double_divide(multiply(double_divide(X_12,X_116),X_115),X_116)
| inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))))),bind(Y0,$fot(double_divide(multiply(double_divide(X_12,X_116),X_115),X_116))),bind(Z0,$fot(double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))))]]) ).
cnf(refute_0_1041,plain,
( double_divide(multiply(double_divide(X_12,X_116),X_115),X_116) != double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))
| inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))),double_divide(multiply(double_divide(X_12,X_116),X_115),X_116)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_12,X_116),X_115),X_116),double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))) )],[refute_0_1038,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( multiply(X_12,inverse(X_115)) != inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))
| inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))) != double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))
| multiply(X_12,inverse(X_115)) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,inverse(X_115)),double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))) ),[0],$fot(inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))))]]) ).
cnf(refute_0_1044,plain,
( multiply(X_12,inverse(X_115)) != inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))
| multiply(X_12,inverse(X_115)) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115))),double_divide(X_116,multiply(double_divide(X_12,X_116),X_115))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(X_12,inverse(X_115)) = double_divide(X_116,multiply(double_divide(X_12,X_116),X_115)),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(X_115)),inverse(multiply(X_116,multiply(double_divide(X_12,X_116),X_115)))) )],[refute_0_1033,refute_0_1044]) ).
cnf(refute_0_1046,plain,
multiply(X_129,inverse(double_divide(X_84,X_12))) = double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))),
inference(subst,[],[refute_0_1045:[bind(X_115,$fot(double_divide(X_84,X_12))),bind(X_116,$fot(X_84)),bind(X_12,$fot(X_129))]]) ).
cnf(refute_0_1047,plain,
( multiply(X_129,inverse(double_divide(X_84,X_12))) != double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))
| double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))) = multiply(X_129,inverse(double_divide(X_84,X_12))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_129,inverse(double_divide(X_84,X_12))))),bind(Y0,$fot(double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))))]]) ).
cnf(refute_0_1048,plain,
double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))) = multiply(X_129,inverse(double_divide(X_84,X_12))),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(double_divide(X_84,X_12))),double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))
| double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_129,inverse(double_divide(X_84,X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_129,inverse(double_divide(X_84,X_12)))) ),[0],$fot(double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))))]]) ).
cnf(refute_0_1050,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))
| multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_129,inverse(double_divide(X_84,X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12))),multiply(X_129,inverse(double_divide(X_84,X_12)))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_129,inverse(double_divide(X_84,X_12))),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),double_divide(X_84,multiply(double_divide(X_129,X_84),double_divide(X_84,X_12)))) )],[refute_0_874,refute_0_1050]) ).
cnf(refute_0_1052,plain,
inverse(double_divide(X_129,X_84)) = multiply(X_84,X_129),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_84)),bind(Y,$fot(X_129))]]) ).
cnf(refute_0_1053,plain,
multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_12,inverse(double_divide(X_129,X_84))),
introduced(tautology,[refl,[$fot(multiply(X_12,inverse(double_divide(X_129,X_84))))]]) ).
cnf(refute_0_1054,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != multiply(X_12,inverse(double_divide(X_129,X_84)))
| inverse(double_divide(X_129,X_84)) != multiply(X_84,X_129)
| multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_12,multiply(X_84,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_12,inverse(double_divide(X_129,X_84)))) ),[1,1],$fot(multiply(X_84,X_129))]]) ).
cnf(refute_0_1055,plain,
( inverse(double_divide(X_129,X_84)) != multiply(X_84,X_129)
| multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_12,multiply(X_84,X_129)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_12,inverse(double_divide(X_129,X_84)))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
multiply(X_12,inverse(double_divide(X_129,X_84))) = multiply(X_12,multiply(X_84,X_129)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_129,X_84)),multiply(X_84,X_129)) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != multiply(X_12,multiply(X_84,X_129))
| multiply(X_12,inverse(double_divide(X_129,X_84))) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,inverse(double_divide(X_84,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_129,inverse(double_divide(X_84,X_12)))) ),[0],$fot(multiply(X_12,multiply(X_84,X_129)))]]) ).
cnf(refute_0_1058,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,inverse(double_divide(X_84,X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_12,multiply(X_84,X_129))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
inverse(double_divide(X_84,X_12)) = multiply(X_12,X_84),
inference(subst,[],[refute_0_58:[bind(X,$fot(X_12)),bind(Y,$fot(X_84))]]) ).
cnf(refute_0_1060,plain,
multiply(X_129,inverse(double_divide(X_84,X_12))) = multiply(X_129,inverse(double_divide(X_84,X_12))),
introduced(tautology,[refl,[$fot(multiply(X_129,inverse(double_divide(X_84,X_12))))]]) ).
cnf(refute_0_1061,plain,
( multiply(X_129,inverse(double_divide(X_84,X_12))) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| inverse(double_divide(X_84,X_12)) != multiply(X_12,X_84)
| multiply(X_129,inverse(double_divide(X_84,X_12))) = multiply(X_129,multiply(X_12,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_129,inverse(double_divide(X_84,X_12))),multiply(X_129,inverse(double_divide(X_84,X_12)))) ),[1,1],$fot(multiply(X_12,X_84))]]) ).
cnf(refute_0_1062,plain,
( inverse(double_divide(X_84,X_12)) != multiply(X_12,X_84)
| multiply(X_129,inverse(double_divide(X_84,X_12))) = multiply(X_129,multiply(X_12,X_84)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(double_divide(X_84,X_12))),multiply(X_129,inverse(double_divide(X_84,X_12)))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
multiply(X_129,inverse(double_divide(X_84,X_12))) = multiply(X_129,multiply(X_12,X_84)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_84,X_12)),multiply(X_12,X_84)) )],[refute_0_1059,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( multiply(X_12,multiply(X_84,X_129)) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_129,inverse(double_divide(X_84,X_12))) != multiply(X_129,multiply(X_12,X_84))
| multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,multiply(X_12,X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,multiply(X_84,X_129)),multiply(X_129,multiply(X_12,X_84))) ),[0],$fot(multiply(X_129,inverse(double_divide(X_84,X_12))))]]) ).
cnf(refute_0_1065,plain,
( multiply(X_12,multiply(X_84,X_129)) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,multiply(X_12,X_84)) ),
inference(resolve,[$cnf( $equal(multiply(X_129,inverse(double_divide(X_84,X_12))),multiply(X_129,multiply(X_12,X_84))) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( multiply(X_12,inverse(double_divide(X_129,X_84))) != multiply(X_129,inverse(double_divide(X_84,X_12)))
| multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,multiply(X_12,X_84)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_84,X_129)),multiply(X_129,inverse(double_divide(X_84,X_12)))) )],[refute_0_1058,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiply(X_12,multiply(X_84,X_129)) = multiply(X_129,multiply(X_12,X_84)),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(double_divide(X_129,X_84))),multiply(X_129,inverse(double_divide(X_84,X_12)))) )],[refute_0_1051,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( multiply(X_12,multiply(X_84,X_129)) != multiply(X_129,multiply(X_12,X_84))
| multiply(X_129,multiply(X_12,X_84)) = multiply(X_12,multiply(X_84,X_129)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_12,multiply(X_84,X_129)))),bind(Y0,$fot(multiply(X_129,multiply(X_12,X_84))))]]) ).
cnf(refute_0_1069,plain,
multiply(X_129,multiply(X_12,X_84)) = multiply(X_12,multiply(X_84,X_129)),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_84,X_129)),multiply(X_129,multiply(X_12,X_84))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_1069:[bind(X_12,$fot(a3)),bind(X_129,$fot(c3)),bind(X_84,$fot(b3))]]) ).
cnf(refute_0_1071,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1072,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1072,refute_0_580]) ).
cnf(refute_0_1074,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1075,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1074,refute_0_1073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP102-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n007.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 05:43:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.55/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.74
% 0.55/0.74 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.70/0.89
%------------------------------------------------------------------------------